TSTP Solution File: SWW340+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW340+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Mon Jun 24 18:07:52 EDT 2024
% Result : Theorem 197.76s 197.82s
% Output : CNFRefutation 198.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW340+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n027.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 Jun 19 05:40:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 197.55/197.67 %-------------------------------------------
% 197.55/197.67 % File :CSE---1.7
% 197.55/197.67 % Problem :theBenchmark
% 197.55/197.67 % Transform :cnf
% 197.55/197.67 % Format :tptp:raw
% 197.55/197.67 % Command :java -jar mcs_scs.jar %d %s
% 197.55/197.67
% 197.55/197.67 % Result :Theorem 171.870000s
% 197.55/197.67 % Output :CNFRefutation 171.870000s
% 197.55/197.67 %-------------------------------------------
% 197.55/197.68 %------------------------------------------------------------------------------
% 197.55/197.68 % File : SWW340+1 : TPTP v8.2.0. Released v5.2.0.
% 197.55/197.68 % Domain : Software Verification
% 197.55/197.68 % Problem : Hoare's Logic with Procedures 435196, 5000 axioms selected
% 197.55/197.68 % Version : Especial.
% 197.55/197.68 % English :
% 197.55/197.68
% 197.55/197.68 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 197.55/197.68 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 197.55/197.68 % Source : [Bla11]
% 197.55/197.68 % Names : hoare_435196.5000.p [Bla11]
% 197.55/197.68
% 197.55/197.68 % Status : ContradictoryAxioms
% 197.55/197.68 % Rating : 0.78 v7.4.0, 0.87 v7.3.0, 0.83 v7.0.0, 0.90 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.88 v6.1.0, 0.97 v6.0.0, 0.91 v5.5.0, 1.00 v5.4.0, 0.96 v5.3.0, 1.00 v5.2.0
% 197.55/197.68 % Syntax : Number of formulae : 5230 (1677 unt; 0 def)
% 197.55/197.68 % Number of atoms : 12743 (4444 equ)
% 197.55/197.68 % Maximal formula atoms : 13 ( 2 avg)
% 197.55/197.68 % Number of connectives : 8507 ( 994 ~; 151 |; 719 &)
% 197.55/197.68 % ( 901 <=>;5742 =>; 0 <=; 0 <~>)
% 197.55/197.68 % Maximal formula depth : 22 ( 6 avg)
% 197.55/197.68 % Maximal term depth : 19 ( 2 avg)
% 197.55/197.68 % Number of predicates : 151 ( 150 usr; 0 prp; 1-6 aty)
% 197.55/197.68 % Number of functors : 387 ( 387 usr; 52 con; 0-7 aty)
% 197.55/197.68 % Number of variables : 16704 (16545 !; 159 ?)
% 197.55/197.68 % SPC : FOF_CAX_RFO_SEQ
% 197.55/197.68
% 197.55/197.68 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 197.55/197.68 % 2011-03-01 12:11:32
% 197.55/197.68 %------------------------------------------------------------------------------
% 197.55/197.68 %----Relevant facts (4985)
% 197.55/197.68 fof(fact_ext,axiom,
% 197.55/197.68 ! [V_g_2,V_f_2] :
% 197.55/197.68 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 197.55/197.68 => V_f_2 = V_g_2 ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_empty,axiom,
% 197.55/197.68 ! [V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 197.55/197.68 ! [V_a_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_triple_Oinject,axiom,
% 197.55/197.68 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 197.55/197.68 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 197.55/197.68 <=> ( V_fun1_2 = V_fun1_H_2
% 197.55/197.68 & V_com_2 = V_com_H_2
% 197.55/197.68 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_cut,axiom,
% 197.55/197.68 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 197.55/197.68 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_hoare__derivs_Oinsert,axiom,
% 197.55/197.68 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2)
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2)) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_derivs__insertD,axiom,
% 197.55/197.68 ! [V_tsa_2,V_t_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_tsa_2))
% 197.55/197.68 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_triple_Orecs,axiom,
% 197.55/197.68 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_triple_Osimps_I2_J,axiom,
% 197.55/197.68 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_b,T_c] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_c,T_b,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_hoare__valids__def,axiom,
% 197.55/197.68 ! [V_tsa_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_tsa_2)
% 197.55/197.68 <=> ! [B_n] :
% 197.55/197.68 ( ! [B_x] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 197.55/197.68 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 197.55/197.68 => ! [B_x] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 197.55/197.68 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_ball__empty,axiom,
% 197.55/197.68 ! [V_P_2,T_b,B_x] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.55/197.68 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_empty__not__insert,axiom,
% 197.55/197.68 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_insert__not__empty,axiom,
% 197.55/197.68 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_doubleton__eq__iff,axiom,
% 197.55/197.68 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.55/197.68 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.55/197.68 <=> ( ( V_a_2 = V_c_2
% 197.55/197.68 & V_b_2 = V_d_2 )
% 197.55/197.68 | ( V_a_2 = V_d_2
% 197.55/197.68 & V_b_2 = V_c_2 ) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_singleton__inject,axiom,
% 197.55/197.68 ! [V_b_2,V_a_2,T_b] :
% 197.55/197.68 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 197.55/197.68 => V_a_2 = V_b_2 ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_bot__apply,axiom,
% 197.55/197.68 ! [V_x_2,T_c,T_b] :
% 197.55/197.68 ( class_Orderings_Obot(T_b)
% 197.55/197.68 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_hoare__derivs_OSkip,axiom,
% 197.55/197.68 ! [V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 197.55/197.68 ! [V_a2_2,V_a1_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_conseq2,axiom,
% 197.55/197.68 ! [V_Q_2,V_Q_H_2,V_c_2,V_P_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => ( ! [B_Z,B_s] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 197.55/197.68 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_insert__code,axiom,
% 197.55/197.68 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 197.55/197.68 <=> ( V_y_2 = V_x_2
% 197.55/197.68 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_insert__commute,axiom,
% 197.55/197.68 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_insert__absorb2,axiom,
% 197.55/197.68 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_the__elem__eq,axiom,
% 197.55/197.68 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 197.55/197.68
% 197.55/197.68 fof(fact_conseq1,axiom,
% 197.55/197.68 ! [V_P_2,V_Q_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => ( ! [B_Z,B_s] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.55/197.68 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_Comp,axiom,
% 197.55/197.68 ! [V_R_2,V_d_2,V_Q_2,V_c_2,V_P_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OSemi(V_c_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_triples__valid__Suc,axiom,
% 197.55/197.68 ! [V_n_2,V_tsa_2,T_b] :
% 197.55/197.68 ( ! [B_x] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 197.55/197.68 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 197.55/197.68 => ! [B_x] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_tsa_2))
% 197.55/197.68 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_conseq12,axiom,
% 197.55/197.68 ! [V_Q_2,V_P_2,V_Q_H_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 197.55/197.68 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_c_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.55/197.68 => ( ! [B_Z,B_s] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.55/197.68 => ! [B_s_H] :
% 197.55/197.68 ( ! [B_Z_H] :
% 197.55/197.68 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 197.55/197.68 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 197.55/197.68 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) )
% 197.55/197.68 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 197.55/197.68
% 197.55/197.68 fof(fact_triple__valid__def2,axiom,
% 197.55/197.69 ! [V_Q_2,V_c_2,V_P_2,V_n_2,T_b] :
% 197.55/197.69 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2))
% 197.55/197.69 <=> ! [B_Z,B_s] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.55/197.69 => ! [B_s_H] :
% 197.55/197.69 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)
% 197.55/197.69 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subset__singletonD,axiom,
% 197.55/197.69 ! [V_x_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 197.55/197.69 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.69 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_singletonE,axiom,
% 197.55/197.69 ! [V_a_2,V_b_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 197.55/197.69 => V_b_2 = V_a_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_singleton__iff,axiom,
% 197.55/197.69 ! [V_a_2,V_b_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 197.55/197.69 <=> V_b_2 = V_a_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_folding__one_Osingleton,axiom,
% 197.55/197.69 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 197.55/197.69 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.55/197.69 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_fold1Set__sing,axiom,
% 197.55/197.69 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 197.55/197.69 <=> V_a_2 = V_b_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_insert__is__Un,axiom,
% 197.55/197.69 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__refl,axiom,
% 197.55/197.69 ! [V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Opreorder(T_a)
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_equalityCE,axiom,
% 197.55/197.69 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 197.55/197.69 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_equalityI,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.55/197.69 => V_A_2 = V_B_2 ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_emptyE,axiom,
% 197.55/197.69 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_insertE,axiom,
% 197.55/197.69 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 197.55/197.69 => ( V_a_2 != V_b_2
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_insertCI,axiom,
% 197.55/197.69 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 197.55/197.69 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 197.55/197.69 => V_a_2 = V_b_2 )
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subsetD,axiom,
% 197.55/197.69 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_UnE,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_UnCI,axiom,
% 197.55/197.69 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 197.55/197.69 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_empty__subsetI,axiom,
% 197.55/197.69 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subset__refl,axiom,
% 197.55/197.69 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__upper1,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__upper2,axiom,
% 197.55/197.69 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__absorb,axiom,
% 197.55/197.69 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 197.55/197.69
% 197.55/197.69 fof(fact_le__fun__def,axiom,
% 197.55/197.69 ! [V_g_2,V_f_2,T_b,T_c] :
% 197.55/197.69 ( class_Orderings_Oord(T_c)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.55/197.69 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_mem__def,axiom,
% 197.55/197.69 ! [V_A_2,V_x_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__commute,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_linorder__linear,axiom,
% 197.55/197.69 ! [V_y,V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Olinorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.69 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subset__Un__eq,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_set__eq__subset,axiom,
% 197.55/197.69 ! [T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__eq__iff,axiom,
% 197.55/197.69 ! [V_y_2,V_x_2,T_b] :
% 197.55/197.69 ( class_Orderings_Oorder(T_b)
% 197.55/197.69 => ( V_x_2 = V_y_2
% 197.55/197.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.55/197.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__left__absorb,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__left__commute,axiom,
% 197.55/197.69 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__iff,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.69 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__assoc,axiom,
% 197.55/197.69 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_bex__Un,axiom,
% 197.55/197.69 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( ? [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.69 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.55/197.69 <=> ( ? [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.55/197.69 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.55/197.69 | ? [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 197.55/197.69 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_ball__Un,axiom,
% 197.55/197.69 ! [V_P_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( ! [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.69 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.55/197.69 <=> ( ! [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.55/197.69 & ! [B_x] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 197.55/197.69 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_equalityD1,axiom,
% 197.55/197.69 ! [T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_equalityD2,axiom,
% 197.55/197.69 ! [T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__eq__refl,axiom,
% 197.55/197.69 ! [V_y,V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Opreorder(T_a)
% 197.55/197.69 => ( V_x = V_y
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_UnI1,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_UnI2,axiom,
% 197.55/197.69 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_le__funD,axiom,
% 197.55/197.69 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 197.55/197.69 ( class_Orderings_Oord(T_c)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__absorb1,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__absorb2,axiom,
% 197.55/197.69 ! [V_A_2,V_B_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.55/197.69 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_eqset__imp__iff,axiom,
% 197.55/197.69 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_eqelem__imp__iff,axiom,
% 197.55/197.69 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 197.55/197.69 ( V_x_2 = V_y_2
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_in__mono,axiom,
% 197.55/197.69 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__antisym__conv,axiom,
% 197.55/197.69 ! [V_x_2,V_y_2,T_b] :
% 197.55/197.69 ( class_Orderings_Oorder(T_b)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.55/197.69 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_eq__mem__trans,axiom,
% 197.55/197.69 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 197.55/197.69 ( V_a_2 = V_b_2
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_ord__eq__le__trans,axiom,
% 197.55/197.69 ! [V_c,V_b,V_a,T_a] :
% 197.55/197.69 ( class_Orderings_Oord(T_a)
% 197.55/197.69 => ( V_a = V_b
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_xt1_I3_J,axiom,
% 197.55/197.69 ! [V_c,V_b,V_a,T_a] :
% 197.55/197.69 ( class_Orderings_Oorder(T_a)
% 197.55/197.69 => ( V_a = V_b
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_set__rev__mp,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_set__mp,axiom,
% 197.55/197.69 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subset__trans,axiom,
% 197.55/197.69 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_ord__le__eq__trans,axiom,
% 197.55/197.69 ! [V_c,V_b,V_a,T_a] :
% 197.55/197.69 ( class_Orderings_Oord(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.55/197.69 => ( V_b = V_c
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_xt1_I4_J,axiom,
% 197.55/197.69 ! [V_c,V_a,V_b,T_a] :
% 197.55/197.69 ( class_Orderings_Oorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.55/197.69 => ( V_b = V_c
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__antisym,axiom,
% 197.55/197.69 ! [V_y,V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Oorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.55/197.69 => V_x = V_y ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_order__trans,axiom,
% 197.55/197.69 ! [V_z,V_y,V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Opreorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_xt1_I5_J,axiom,
% 197.55/197.69 ! [V_x,V_y,T_a] :
% 197.55/197.69 ( class_Orderings_Oorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.69 => V_x = V_y ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_xt1_I6_J,axiom,
% 197.55/197.69 ! [V_z,V_x,V_y,T_a] :
% 197.55/197.69 ( class_Orderings_Oorder(T_a)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__least,axiom,
% 197.55/197.69 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_Un__mono,axiom,
% 197.55/197.69 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 197.55/197.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_equalityE,axiom,
% 197.55/197.69 ! [T_b,V_B_2,V_A_2] :
% 197.55/197.69 ( V_A_2 = V_B_2
% 197.55/197.69 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.69 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_le__funE,axiom,
% 197.55/197.69 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 197.55/197.69 ( class_Orderings_Oord(T_c)
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_linorder__le__cases,axiom,
% 197.55/197.69 ! [V_y,V_x,T_a] :
% 197.55/197.69 ( class_Orderings_Olinorder(T_a)
% 197.55/197.69 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_subset__insert,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 197.55/197.69 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 197.55/197.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.55/197.69
% 197.55/197.69 fof(fact_insert__subset,axiom,
% 197.55/197.69 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 197.55/197.70 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.55/197.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_empty__fold1SetE,axiom,
% 197.55/197.70 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_fold1Set__nonempty,axiom,
% 197.55/197.70 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 197.55/197.70 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Un__empty__left,axiom,
% 197.55/197.70 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Un__empty__right,axiom,
% 197.55/197.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Un__empty,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.70 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.70 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.70 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Un__insert__right,axiom,
% 197.55/197.70 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Un__insert__left,axiom,
% 197.55/197.70 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_bot__least,axiom,
% 197.55/197.70 ! [V_x,T_a] :
% 197.55/197.70 ( class_Orderings_Obot(T_a)
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_all__not__in__conv,axiom,
% 197.55/197.70 ! [V_A_2,T_b] :
% 197.55/197.70 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.55/197.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_ex__in__conv,axiom,
% 197.55/197.70 ! [V_A_2,T_b] :
% 197.55/197.70 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.55/197.70 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_empty__iff,axiom,
% 197.55/197.70 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_equals0D,axiom,
% 197.55/197.70 ! [V_a_2,T_b,V_A_2] :
% 197.55/197.70 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.70 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_subset__empty,axiom,
% 197.55/197.70 ! [V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.55/197.70 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insertI1,axiom,
% 197.55/197.70 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insert__iff,axiom,
% 197.55/197.70 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 197.55/197.70 <=> ( V_a_2 = V_b_2
% 197.55/197.70 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insert__ident,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 197.55/197.70 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.55/197.70 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 197.55/197.70 <=> V_A_2 = V_B_2 ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insertI2,axiom,
% 197.55/197.70 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insert__absorb,axiom,
% 197.55/197.70 ! [V_A_2,V_a_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.55/197.70 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_subset__insertI,axiom,
% 197.55/197.70 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_subset__insertI2,axiom,
% 197.55/197.70 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_insert__mono,axiom,
% 197.55/197.70 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_asm,axiom,
% 197.55/197.70 ! [V_Ga_2,V_tsa_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_Ga_2))
% 197.55/197.70 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_weaken,axiom,
% 197.55/197.70 ! [V_tsa_2,V_ts_H_2,V_Ga_2,T_b] :
% 197.55/197.70 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2))
% 197.55/197.70 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_thin,axiom,
% 197.55/197.70 ! [V_Ga_2,V_tsa_2,V_G_H_2,T_b] :
% 197.55/197.70 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_tsa_2)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 197.55/197.70 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_tsa_2) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_triple__valid__Suc,axiom,
% 197.55/197.70 ! [V_t,V_n,T_a] :
% 197.55/197.70 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 197.55/197.70 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln__elim__cases_I1_J,axiom,
% 197.55/197.70 ! [V_t,V_n,V_s] :
% 197.55/197.70 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 197.55/197.70 => V_t = V_s ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln_OSkip,axiom,
% 197.55/197.70 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln_OSemi,axiom,
% 197.55/197.70 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 197.55/197.70 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 197.55/197.70 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 197.55/197.70 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup1CI,axiom,
% 197.55/197.70 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 197.55/197.70 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 197.55/197.70 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 197.55/197.70 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup1E,axiom,
% 197.55/197.70 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.55/197.70 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 197.55/197.70 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_com_Osimps_I13_J,axiom,
% 197.55/197.70 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 197.55/197.70
% 197.55/197.70 fof(fact_com_Osimps_I12_J,axiom,
% 197.55/197.70 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln_Oequations_I1_J,axiom,
% 197.55/197.70 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln_Oequations_I4_J,axiom,
% 197.55/197.70 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 197.55/197.70 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 197.55/197.70 <=> ? [B_s1] :
% 197.55/197.70 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 197.55/197.70 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln__Suc,axiom,
% 197.55/197.70 ! [V_s_H,V_n,V_s,V_c] :
% 197.55/197.70 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 197.55/197.70 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__apply,axiom,
% 197.55/197.70 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 197.55/197.70 ( class_Lattices_Olattice(T_b)
% 197.55/197.70 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln__nonstrict,axiom,
% 197.55/197.70 ! [V_m,V_t,V_n,V_s,V_c] :
% 197.55/197.70 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.55/197.70 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_eq__mem,axiom,
% 197.55/197.70 ! [V_y_2,V_x_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 197.55/197.70 <=> V_x_2 = V_y_2 ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup_Oidem,axiom,
% 197.55/197.70 ! [V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__idem,axiom,
% 197.55/197.70 ! [V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup_Ocommute,axiom,
% 197.55/197.70 ! [V_b,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__aci_I5_J,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__commute,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup_Oleft__idem,axiom,
% 197.55/197.70 ! [V_b,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__aci_I8_J,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__left__idem,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup_Oleft__commute,axiom,
% 197.55/197.70 ! [V_c,V_a,V_b,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__aci_I7_J,axiom,
% 197.55/197.70 ! [V_z,V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__left__commute,axiom,
% 197.55/197.70 ! [V_z,V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup_Oassoc,axiom,
% 197.55/197.70 ! [V_c,V_b,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__aci_I6_J,axiom,
% 197.55/197.70 ! [V_z,V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__assoc,axiom,
% 197.55/197.70 ! [V_z,V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_rev__predicate1D,axiom,
% 197.55/197.70 ! [V_Q_2,T_b,V_x_2,V_P_2] :
% 197.55/197.70 ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 197.55/197.70 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_predicate1D,axiom,
% 197.55/197.70 ! [V_x_2,V_Q_2,V_P_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_P_2),V_Q_2))
% 197.55/197.70 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.55/197.70 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup1I1,axiom,
% 197.55/197.70 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 197.55/197.70 ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup1I2,axiom,
% 197.55/197.70 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 197.55/197.70 ( hBOOL(hAPP(V_B_2,V_x_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_com_Osimps_I3_J,axiom,
% 197.55/197.70 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 197.55/197.70 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 197.55/197.70 <=> ( V_com1_2 = V_com1_H_2
% 197.55/197.70 & V_com2_2 = V_com2_H_2 ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__ord_I3_J,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__ge1,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_inf__sup__ord_I4_J,axiom,
% 197.55/197.70 ! [V_x,V_y,T_a] :
% 197.55/197.70 ( class_Lattices_Olattice(T_a)
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__ge2,axiom,
% 197.55/197.70 ! [V_x,V_y,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__iff__sup,axiom,
% 197.55/197.70 ! [V_y_2,V_x_2,T_b] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_b)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.55/197.70 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__sup__iff,axiom,
% 197.55/197.70 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_b)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 197.55/197.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 197.55/197.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__supI1,axiom,
% 197.55/197.70 ! [V_b,V_a,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__supI2,axiom,
% 197.55/197.70 ! [V_a,V_b,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__absorb2,axiom,
% 197.55/197.70 ! [V_y,V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__absorb1,axiom,
% 197.55/197.70 ! [V_x,V_y,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__supI,axiom,
% 197.55/197.70 ! [V_b,V_x,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__least,axiom,
% 197.55/197.70 ! [V_z,V_x,V_y,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__mono,axiom,
% 197.55/197.70 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__supE,axiom,
% 197.55/197.70 ! [V_x,V_b,V_a,T_a] :
% 197.55/197.70 ( class_Lattices_Osemilattice__sup(T_a)
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x))
% 197.55/197.70 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.55/197.70 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__eq__bot__iff,axiom,
% 197.55/197.70 ! [V_y_2,V_x_2,T_b] :
% 197.55/197.70 ( class_Lattices_Obounded__lattice__bot(T_b)
% 197.55/197.70 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 197.55/197.70 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 197.55/197.70 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__bot__right,axiom,
% 197.55/197.70 ! [V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_sup__bot__left,axiom,
% 197.55/197.70 ! [V_x,T_a] :
% 197.55/197.70 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.55/197.70 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_fold1Set_Ointros,axiom,
% 197.55/197.70 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 197.55/197.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_folding__one_Oinsert,axiom,
% 197.55/197.70 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.55/197.70 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.55/197.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.55/197.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.70 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.70 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_diff__single__insert,axiom,
% 197.55/197.70 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_subset__insert__iff,axiom,
% 197.55/197.70 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 197.55/197.70 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 197.55/197.70 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_evaln__elim__cases_I4_J,axiom,
% 197.55/197.70 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 197.55/197.70 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 197.55/197.70 => ~ ! [B_s1] :
% 197.55/197.70 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 197.55/197.70 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_nonempty__iff,axiom,
% 197.55/197.70 ! [T_b,V_A_2] :
% 197.55/197.70 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.70 <=> ? [B_x,B_B] :
% 197.55/197.70 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_B)
% 197.55/197.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_B)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Suc__n__not__le__n,axiom,
% 197.55/197.70 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_not__less__eq__eq,axiom,
% 197.55/197.70 ! [V_n_2,V_m_2] :
% 197.55/197.70 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.55/197.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__Suc__eq,axiom,
% 197.55/197.70 ! [V_n_2,V_m_2] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.55/197.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.55/197.70 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Suc__le__mono,axiom,
% 197.55/197.70 ! [V_m_2,V_n_2] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Nat_OSuc,V_m_2)))
% 197.55/197.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__SucI,axiom,
% 197.55/197.70 ! [V_n,V_m] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite_OemptyI,axiom,
% 197.55/197.70 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite_OinsertI,axiom,
% 197.55/197.70 ! [V_a_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_DiffI,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.70 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_DiffE,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.70 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite__Diff,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__antisym,axiom,
% 197.55/197.70 ! [V_n,V_m] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.55/197.70 => V_m = V_n ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__trans,axiom,
% 197.55/197.70 ! [V_k,V_j,V_i] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.55/197.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_eq__imp__le,axiom,
% 197.55/197.70 ! [V_n,V_m] :
% 197.55/197.70 ( V_m = V_n
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_nat__le__linear,axiom,
% 197.55/197.70 ! [V_n,V_m] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.55/197.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_le__refl,axiom,
% 197.55/197.70 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_minus__apply,axiom,
% 197.55/197.70 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.55/197.70 ( class_Groups_Ominus(T_b)
% 197.55/197.70 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Diff__idemp,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite,axiom,
% 197.55/197.70 ! [V_A_2,T_b] :
% 197.55/197.70 ( class_Finite__Set_Ofinite(T_b)
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite__code,axiom,
% 197.55/197.70 ! [V_A_2,T_b] :
% 197.55/197.70 ( class_Finite__Set_Ofinite(T_b)
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite__Diff2,axiom,
% 197.55/197.70 ! [V_A_2,V_B_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.55/197.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.70 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_fold__graph__imp__finite,axiom,
% 197.55/197.70 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 197.55/197.70 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_finite__Diff__insert,axiom,
% 197.55/197.70 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 197.55/197.70 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Diff__iff,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.70 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.55/197.70 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_DiffD1,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.70 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_DiffD2,axiom,
% 197.55/197.70 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.55/197.70 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.55/197.70 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_empty__Diff,axiom,
% 197.55/197.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.55/197.70
% 197.55/197.70 fof(fact_Diff__empty,axiom,
% 197.55/197.70 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Diff__cancel,axiom,
% 197.55/197.71 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Diff__subset,axiom,
% 197.55/197.71 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Diff__mono,axiom,
% 197.55/197.71 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.55/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 197.55/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_double__diff,axiom,
% 197.55/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.55/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Un__Diff__cancel,axiom,
% 197.55/197.71 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Un__Diff__cancel2,axiom,
% 197.55/197.71 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Un__Diff,axiom,
% 197.55/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_finite_Oequations_I1_J,axiom,
% 197.55/197.71 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_finite__insert,axiom,
% 197.55/197.71 ! [V_A_2,V_a_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 197.55/197.71 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_finite__subset,axiom,
% 197.55/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.55/197.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_rev__finite__subset,axiom,
% 197.55/197.71 ! [V_A_2,V_B_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.55/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.55/197.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_finite__UnI,axiom,
% 197.55/197.71 ! [V_Ga_2,V_F_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.55/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 197.55/197.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_finite__Un,axiom,
% 197.55/197.71 ! [V_Ga_2,V_F_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 197.55/197.71 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.55/197.71 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 197.55/197.71 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_fold__graph_OemptyI,axiom,
% 197.55/197.71 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_empty__fold__graphE,axiom,
% 197.55/197.71 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 197.55/197.71 => V_x_2 = V_z_2 ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Diff1__fold__graph,axiom,
% 197.55/197.71 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 197.55/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.55/197.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_folding__one_Oinsert__remove,axiom,
% 197.55/197.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.55/197.71 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.55/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.55/197.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.55/197.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.55/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_insert__Diff1,axiom,
% 197.55/197.71 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 197.55/197.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.55/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_insert__Diff__if,axiom,
% 197.55/197.71 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 197.55/197.71 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.55/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 197.55/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.55/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.55/197.71
% 197.55/197.71 fof(fact_Diff__insert,axiom,
% 197.65/197.71 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Diff__insert2,axiom,
% 197.65/197.71 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_insert__Diff__single,axiom,
% 197.65/197.71 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Diff__subset__conv,axiom,
% 197.65/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Diff__partition,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one_Oremove,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 197.65/197.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph_OinsertI,axiom,
% 197.65/197.71 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 197.65/197.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 197.65/197.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Diff__insert__absorb,axiom,
% 197.65/197.71 ! [V_A_2,V_x_2,T_b] :
% 197.65/197.71 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_insert__Diff,axiom,
% 197.65/197.71 ! [V_A_2,V_a_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__inject,axiom,
% 197.65/197.71 ! [V_y,V_x] :
% 197.65/197.71 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 197.65/197.71 => V_x = V_y ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat_Oinject,axiom,
% 197.65/197.71 ! [V_nat_H_2,V_nat_2] :
% 197.65/197.71 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 197.65/197.71 <=> V_nat_2 = V_nat_H_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__n__not__n,axiom,
% 197.65/197.71 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 197.65/197.71
% 197.65/197.71 fof(fact_n__not__Suc__n,axiom,
% 197.65/197.71 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__leD,axiom,
% 197.65/197.71 ! [V_n,V_m] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_le__SucE,axiom,
% 197.65/197.71 ! [V_n,V_m] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.71 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple_Oremove,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__eq__diff__less__eq,axiom,
% 197.65/197.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.65/197.71 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.65/197.71 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one_Oclosed,axiom,
% 197.65/197.71 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_finite__empty__induct,axiom,
% 197.65/197.71 ! [V_P_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 197.65/197.71 => ( ! [B_a,B_A] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,B_A))
% 197.65/197.71 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 197.65/197.71 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_finite__subset__induct,axiom,
% 197.65/197.71 ! [V_P_2,V_A_2,V_F_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.65/197.71 => ( ! [B_a,B_F] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,B_F))
% 197.65/197.71 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 197.65/197.71 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold1Set_Oequations,axiom,
% 197.65/197.71 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 197.65/197.71 <=> ? [B_a,B_A] :
% 197.65/197.71 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 197.65/197.71 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 197.65/197.71 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_insert__fold1SetE,axiom,
% 197.65/197.71 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 197.65/197.71 => ~ ! [B_a,B_A] :
% 197.65/197.71 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one__idem_Oidem,axiom,
% 197.65/197.71 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.65/197.71 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__Suc__Suc,axiom,
% 197.65/197.71 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__diff__diff,axiom,
% 197.65/197.71 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__le__self,axiom,
% 197.65/197.71 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__le__mono2,axiom,
% 197.65/197.71 ! [V_l,V_n,V_m] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__le__mono,axiom,
% 197.65/197.71 ! [V_l,V_n,V_m] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__diff__cancel,axiom,
% 197.65/197.71 ! [V_n,V_i] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 197.65/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_eq__diff__iff,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.65/197.71 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)
% 197.65/197.71 <=> V_m_2 = V_n_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Nat_Odiff__diff__eq,axiom,
% 197.65/197.71 ! [V_n,V_m,V_k] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 197.65/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_le__diff__iff,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__diff__le,axiom,
% 197.65/197.71 ! [V_m,V_n] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.65/197.71 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple_Oempty,axiom,
% 197.65/197.71 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__eq__diff__eq,axiom,
% 197.65/197.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.65/197.71 ( class_Groups_Oab__group__add(T_b)
% 197.65/197.71 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 197.65/197.71 => ( V_a_2 = V_b_2
% 197.65/197.71 <=> V_c_2 = V_d_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__one__idem_Oin__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple_Oinsert,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Suc__Diff1,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph__permute__diff,axiom,
% 197.65/197.71 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 197.65/197.71 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubset__insert__iff,axiom,
% 197.65/197.71 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 197.65/197.71 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 197.65/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 197.65/197.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 197.65/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_finite__induct,axiom,
% 197.65/197.71 ! [V_P_2,V_F_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.65/197.71 => ( ! [B_x,B_F] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 197.65/197.71 => ( hBOOL(hAPP(V_P_2,B_F))
% 197.65/197.71 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 197.65/197.71 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 197.65/197.71 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 197.65/197.71 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oremove,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 197.65/197.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff1__le,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__mult__distrib,axiom,
% 197.65/197.71 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__commute,axiom,
% 197.65/197.71 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__mult__distrib2,axiom,
% 197.65/197.71 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 197.65/197.71 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.71 ( class_Groups_Oab__semigroup__mult(T_a)
% 197.65/197.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_times_Oidem,axiom,
% 197.65/197.71 ! [V_a,T_a] :
% 197.65/197.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.65/197.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_mult__idem,axiom,
% 197.65/197.71 ! [V_x,T_a] :
% 197.65/197.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.65/197.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_mult__left__idem,axiom,
% 197.65/197.71 ! [V_b,V_a,T_a] :
% 197.65/197.71 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 197.65/197.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__irrefl,axiom,
% 197.65/197.71 ! [V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__neq__iff,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( V_x_2 != V_y_2
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_not__less__iff__gr__or__eq,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 197.65/197.71 | V_x_2 = V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__less__linear,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 | V_x = V_y
% 197.65/197.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__antisym__conv3,axiom,
% 197.65/197.71 ! [V_x_2,V_y_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__neqE,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( V_x != V_y
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__imp__neq,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => V_x != V_y ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__not__sym,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__imp__not__less,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__imp__not__eq,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => V_x != V_y ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__imp__not__eq2,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => V_y != V_x ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__asym_H,axiom,
% 197.65/197.71 ! [V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I9_J,axiom,
% 197.65/197.71 ! [V_a,V_b,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_ord__eq__less__trans,axiom,
% 197.65/197.71 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oord(T_a)
% 197.65/197.71 => ( V_a = V_b
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I1_J,axiom,
% 197.65/197.71 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( V_a = V_b
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubset__trans,axiom,
% 197.65/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_ord__less__eq__trans,axiom,
% 197.65/197.71 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oord(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.71 => ( V_b = V_c
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I2_J,axiom,
% 197.65/197.71 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/197.71 => ( V_b = V_c
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__trans,axiom,
% 197.65/197.71 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I10_J,axiom,
% 197.65/197.71 ! [V_z,V_x,V_y,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__asym,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__cases,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ( V_x != V_y
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 197.65/197.71 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.71 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.71 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 197.65/197.71 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 197.65/197.71 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__fun__def,axiom,
% 197.65/197.71 ! [V_g_2,V_f_2,T_b,T_c] :
% 197.65/197.71 ( class_Orderings_Oord(T_c)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.65/197.71 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__not__less,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__not__le,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__le__less__linear,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/197.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__le,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Oorder(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 & V_x_2 != V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__le__not__le,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__le__less,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Oorder(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 | V_x_2 = V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_leI,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_not__leE,axiom,
% 197.65/197.71 ! [V_x,V_y,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__antisym__conv1,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__neq__le__trans,axiom,
% 197.65/197.71 ! [V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( V_a != V_b
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I12_J,axiom,
% 197.65/197.71 ! [V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( V_a != V_b
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_leD,axiom,
% 197.65/197.71 ! [V_x,V_y,T_a] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/197.71 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__imp__le,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_linorder__antisym__conv2,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.71 ( class_Orderings_Olinorder(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 197.65/197.71 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__le__imp__less__or__eq,axiom,
% 197.65/197.71 ! [V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 | V_x = V_y ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__le__neq__trans,axiom,
% 197.65/197.71 ! [V_b,V_a,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.71 => ( V_a != V_b
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I11_J,axiom,
% 197.65/197.71 ! [V_a,V_b,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/197.71 => ( V_a != V_b
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__less__le__trans,axiom,
% 197.65/197.71 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I7_J,axiom,
% 197.65/197.71 ! [V_z,V_x,V_y,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_order__le__less__trans,axiom,
% 197.65/197.71 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.71 ( class_Orderings_Opreorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_xt1_I8_J,axiom,
% 197.65/197.71 ! [V_z,V_x,V_y,T_a] :
% 197.65/197.71 ( class_Orderings_Oorder(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubsetD,axiom,
% 197.65/197.71 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_not__psubset__empty,axiom,
% 197.65/197.71 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__eq__diff__less,axiom,
% 197.65/197.71 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.65/197.71 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.65/197.71 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__supI2,axiom,
% 197.65/197.71 ! [V_a,V_b,V_x,T_a] :
% 197.65/197.71 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__supI1,axiom,
% 197.65/197.71 ! [V_b,V_a,V_x,T_a] :
% 197.65/197.71 ( class_Lattices_Osemilattice__sup(T_a)
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__mult__cancel1,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.71 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)
% 197.65/197.71 <=> V_m_2 = V_n_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubset__eq,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 & V_A_2 != V_B_2 ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_subset__iff__psubset__eq,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 | V_A_2 = V_B_2 ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubset__imp__subset,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_psubset__subset__trans,axiom,
% 197.65/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_subset__psubset__trans,axiom,
% 197.65/197.71 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_mult__le__mono,axiom,
% 197.65/197.71 ! [V_l,V_k,V_j,V_i] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_mult__le__mono2,axiom,
% 197.65/197.71 ! [V_k,V_j,V_i] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_mult__le__mono1,axiom,
% 197.65/197.71 ! [V_k,V_j,V_i] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_le__cube,axiom,
% 197.65/197.71 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_le__square,axiom,
% 197.65/197.71 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Osingleton,axiom,
% 197.65/197.71 ! [V_x_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__mult__le__cancel1,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 197.65/197.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oin__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__insert__le,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__mono,axiom,
% 197.65/197.71 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__seteq,axiom,
% 197.65/197.71 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 197.65/197.71 => V_A_2 = V_B_2 ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff__subset,axiom,
% 197.65/197.71 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_diff__card__le__card__Diff,axiom,
% 197.65/197.71 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Osubset__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Ounion__idem,axiom,
% 197.65/197.71 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph__insert__swap,axiom,
% 197.65/197.71 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 197.65/197.71 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oidem,axiom,
% 197.65/197.71 ! [V_x,T_a] :
% 197.65/197.71 ( class_Lattices_Olattice(T_a)
% 197.65/197.71 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__insert__if,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 197.65/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__insert__disjoint,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oinsert,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.65/197.71 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__insert,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Sup__fin_Oclosed,axiom,
% 197.65/197.71 ! [V_A_2,T_b] :
% 197.65/197.71 ( class_Lattices_Olattice(T_b)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff__singleton__if,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 197.65/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff__singleton,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 197.65/197.71 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 197.65/197.71 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 197.65/197.71 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 197.65/197.71 | ? [B_x,B_y] :
% 197.65/197.71 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 197.65/197.71 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 197.65/197.71 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff__insert,axiom,
% 197.65/197.71 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff1__less,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_card__Diff2__less,axiom,
% 197.65/197.71 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_fold1__insert,axiom,
% 197.65/197.71 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.71 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.65/197.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setsum__diff1,axiom,
% 197.65/197.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 197.65/197.71 ( class_Groups_Oab__group__add(T_c)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.65/197.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setsum__diff1__ring,axiom,
% 197.65/197.71 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 197.65/197.71 ( class_Rings_Oring(T_c)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setprod_Oremove,axiom,
% 197.65/197.71 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 197.65/197.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_lessI,axiom,
% 197.65/197.71 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_Suc__mono,axiom,
% 197.65/197.71 ! [V_n,V_m] :
% 197.65/197.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setprod__empty,axiom,
% 197.65/197.71 ! [V_f_2,T_c,T_b] :
% 197.65/197.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setprod_Oempty,axiom,
% 197.65/197.71 ! [V_g_2,T_c,T_b] :
% 197.65/197.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.65/197.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_less__not__refl,axiom,
% 197.65/197.71 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__neq__iff,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2] :
% 197.65/197.71 ( V_m_2 != V_n_2
% 197.65/197.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__mult__1,axiom,
% 197.65/197.71 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__1__eq__mult__iff,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2] :
% 197.65/197.71 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 197.65/197.71 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.71 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__mult__1__right,axiom,
% 197.65/197.71 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__mult__commute,axiom,
% 197.65/197.71 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__mult__eq__1__iff,axiom,
% 197.65/197.71 ! [V_n_2,V_m_2] :
% 197.65/197.71 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.71 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.71 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_nat__mult__assoc,axiom,
% 197.65/197.71 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 197.65/197.71
% 197.65/197.71 fof(fact_setprod__eq__1__iff,axiom,
% 197.65/197.71 ! [V_f_2,V_F_2,T_b] :
% 197.65/197.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.71 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.71 <=> ! [B_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 197.65/197.72 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod__infinite,axiom,
% 197.65/197.72 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod_Oinfinite,axiom,
% 197.65/197.72 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_linorder__neqE__nat,axiom,
% 197.65/197.72 ! [V_y,V_x] :
% 197.65/197.72 ( V_x != V_y
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__irrefl__nat,axiom,
% 197.65/197.72 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__not__refl2,axiom,
% 197.65/197.72 ! [V_m,V_n] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 197.65/197.72 => V_m != V_n ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__not__refl3,axiom,
% 197.65/197.72 ! [V_t,V_s] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 197.65/197.72 => V_s != V_t ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__less__cases,axiom,
% 197.65/197.72 ! [V_P_2,V_n_2,V_m_2] :
% 197.65/197.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.65/197.72 => ( ( V_m_2 = V_n_2
% 197.65/197.72 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.65/197.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 197.65/197.72 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_one__reorient,axiom,
% 197.65/197.72 ! [V_x_2,T_b] :
% 197.65/197.72 ( class_Groups_Oone(T_b)
% 197.65/197.72 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 197.65/197.72 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult_Ocomm__neutral,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult__1__right,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Groups_Omonoid__mult(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult__1,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult__1__left,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Groups_Omonoid__mult(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_not__less__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__Suc__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.65/197.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 | V_m_2 = V_n_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__less__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_not__less__less__Suc__eq,axiom,
% 197.65/197.72 ! [V_m_2,V_n_2] :
% 197.65/197.72 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 197.65/197.72 <=> V_n_2 = V_m_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__antisym,axiom,
% 197.65/197.72 ! [V_m,V_n] :
% 197.65/197.72 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 197.65/197.72 => V_m = V_n ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__SucI,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__lessI,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__trans__Suc,axiom,
% 197.65/197.72 ! [V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__SucE,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => V_m = V_n ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__lessD,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__less__SucD,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__mult__less__cancel1,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__less__le,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 & V_m_2 != V_n_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__eq__less__or__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 | V_m_2 = V_n_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__imp__le__nat,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__neq__implies__less,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => ( V_m != V_n
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__or__eq__imp__le,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 | V_m = V_n )
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__imp__diff__less,axiom,
% 197.65/197.72 ! [V_n,V_k,V_j] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__less__mono2,axiom,
% 197.65/197.72 ! [V_l,V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__le__lessD,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__less__Suc__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 197.65/197.72 <=> V_n_2 = V_m_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__leI,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__imp__less__Suc,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__le__eq,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__Suc__eq__le,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__eq__Suc__le,axiom,
% 197.65/197.72 ! [V_m_2,V_n_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__less__Suc,axiom,
% 197.65/197.72 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__Suc__1,axiom,
% 197.65/197.72 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__less__mono,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__diff__iff,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__singleton__def,axiom,
% 197.65/197.72 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 197.65/197.72 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 197.65/197.72 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__singleton,axiom,
% 197.65/197.72 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 197.65/197.72
% 197.65/197.72 fof(fact_folding__one_Oeq__fold,axiom,
% 197.65/197.72 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.72 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_psubset__card__mono,axiom,
% 197.65/197.72 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod__insert,axiom,
% 197.65/197.72 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod_Oinsert,axiom,
% 197.65/197.72 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Sup__fin_OF__eq,axiom,
% 197.65/197.72 ! [V_A_2,T_b] :
% 197.65/197.72 ( class_Lattices_Olattice(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__diff,axiom,
% 197.65/197.72 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Oab__group__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__diff__nat,axiom,
% 197.65/197.72 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card__psubset,axiom,
% 197.65/197.72 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod_Oinsert__remove,axiom,
% 197.65/197.72 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__insert__idem,axiom,
% 197.65/197.72 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.72 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__Un2,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__diff1__nat,axiom,
% 197.65/197.72 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 197.65/197.72 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.65/197.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_semilattice__big_OF__eq,axiom,
% 197.65/197.72 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.72 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__1__mult,axiom,
% 197.65/197.72 ! [V_n,V_m,T_a] :
% 197.65/197.72 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__in,axiom,
% 197.65/197.72 ! [V_A_2,T_b] :
% 197.65/197.72 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card_Oremove,axiom,
% 197.65/197.72 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.72 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_termination__basic__simps_I5_J,axiom,
% 197.65/197.72 ! [V_y,V_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod__mono__one__left,axiom,
% 197.65/197.72 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.65/197.72 => ( ! [B_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.65/197.72 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod__mono__one__right,axiom,
% 197.65/197.72 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.65/197.72 => ( ! [B_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.65/197.72 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card_Oinsert__remove,axiom,
% 197.65/197.72 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oab__semigroup__add(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__left__cancel,axiom,
% 197.65/197.72 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Groups_Ocancel__semigroup__add(T_b)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 197.65/197.72 <=> V_b_2 = V_c_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__right__cancel,axiom,
% 197.65/197.72 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 197.65/197.72 ( class_Groups_Ocancel__semigroup__add(T_b)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 197.65/197.72 <=> V_b_2 = V_c_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__left__imp__eq,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 197.65/197.72 => V_b = V_c ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__imp__eq,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 197.65/197.72 => V_b = V_c ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__right__imp__eq,axiom,
% 197.65/197.72 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.72 ( class_Groups_Ocancel__semigroup__add(T_a)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 197.65/197.72 => V_b = V_c ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 197.65/197.72 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 197.65/197.72 ! [V_d,V_c,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 197.65/197.72 ! [V_d,V_c,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 197.65/197.72 ! [V_c,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__commute,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__left__commute,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__assoc,axiom,
% 197.65/197.72 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__left__cancel,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.72 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)
% 197.65/197.72 <=> V_m_2 = V_n_2 ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__right__cancel,axiom,
% 197.65/197.72 ! [V_n_2,V_k_2,V_m_2] :
% 197.65/197.72 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2)
% 197.65/197.72 <=> V_m_2 = V_n_2 ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_crossproduct__eq,axiom,
% 197.65/197.72 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 197.65/197.72 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 197.65/197.72 <=> ( V_w_2 = V_x_2
% 197.65/197.72 | V_y_2 = V_z_2 ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_combine__common__factor,axiom,
% 197.65/197.72 ! [V_c,V_b,V_e,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Osemiring(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 197.65/197.72 ! [V_b,V_m,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__class_Odistrib,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_crossproduct__noteq,axiom,
% 197.65/197.72 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 197.65/197.72 => ( ( V_a_2 != V_b_2
% 197.65/197.72 & V_c_2 != V_d_2 )
% 197.65/197.72 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_termination__basic__simps_I1_J,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_termination__basic__simps_I2_J,axiom,
% 197.65/197.72 ! [V_y,V_z,V_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_termination__basic__simps_I4_J,axiom,
% 197.65/197.72 ! [V_y,V_z,V_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_termination__basic__simps_I3_J,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__imp__le__left,axiom,
% 197.65/197.72 ! [V_b,V_a,V_c,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__imp__le__right,axiom,
% 197.65/197.72 ! [V_b,V_c,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__mono,axiom,
% 197.65/197.72 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__left__mono,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__right__mono,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__cancel__left,axiom,
% 197.65/197.72 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__cancel__right,axiom,
% 197.65/197.72 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__cancel__right,axiom,
% 197.65/197.72 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__cancel__left,axiom,
% 197.65/197.72 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__strict__right__mono,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__strict__left__mono,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__strict__mono,axiom,
% 197.65/197.72 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__imp__less__right,axiom,
% 197.65/197.72 ! [V_b,V_c,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__imp__less__left,axiom,
% 197.65/197.72 ! [V_b,V_a,V_c,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__diff__cancel,axiom,
% 197.65/197.72 ! [V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ogroup__add(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__add__cancel,axiom,
% 197.65/197.72 ! [V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Ogroup__add(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__Suc__shift,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__Suc,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__Suc__right,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__lessD1,axiom,
% 197.65/197.72 ! [V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__eq__less,axiom,
% 197.65/197.72 ! [V_n,V_m,V_l,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__mono,axiom,
% 197.65/197.72 ! [V_l,V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__mono1,axiom,
% 197.65/197.72 ! [V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_trans__less__add2,axiom,
% 197.65/197.72 ! [V_m,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_trans__less__add1,axiom,
% 197.65/197.72 ! [V_m,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__left__cancel__less,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_not__add__less2,axiom,
% 197.65/197.72 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_not__add__less1,axiom,
% 197.65/197.72 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__leE,axiom,
% 197.65/197.72 ! [V_n,V_k,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 197.65/197.72 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__leD1,axiom,
% 197.65/197.72 ! [V_n,V_k,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__leD2,axiom,
% 197.65/197.72 ! [V_n,V_k,V_m] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__mono,axiom,
% 197.65/197.72 ! [V_l,V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__mono1,axiom,
% 197.65/197.72 ! [V_k,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_trans__le__add2,axiom,
% 197.65/197.72 ! [V_m,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_trans__le__add1,axiom,
% 197.65/197.72 ! [V_m,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__add__left__cancel__le,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__iff__add,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add1,axiom,
% 197.65/197.72 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add2,axiom,
% 197.65/197.72 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__cancel2,axiom,
% 197.65/197.72 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__cancel,axiom,
% 197.65/197.72 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__diff__left,axiom,
% 197.65/197.72 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__add__inverse,axiom,
% 197.65/197.72 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__add__inverse2,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__mult__distrib,axiom,
% 197.65/197.72 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__mult__distrib2,axiom,
% 197.65/197.72 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__one,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_eq__add__iff1,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oring(T_b)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 197.65/197.72 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_eq__add__iff2,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oring(T_b)
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 197.65/197.72 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 197.65/197.72 ! [V_m,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 197.65/197.72 ! [V_a,V_m,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 197.65/197.72 ! [V_m,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__less__le__mono,axiom,
% 197.65/197.72 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__le__less__mono,axiom,
% 197.65/197.72 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add__iff1,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oordered__ring(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add__iff2,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oordered__ring(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__iff1,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oordered__ring(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__iff2,axiom,
% 197.65/197.72 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 197.65/197.72 ( class_Rings_Oordered__ring(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__Suc1,axiom,
% 197.65/197.72 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__add__Suc2,axiom,
% 197.65/197.72 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__iff__Suc__add,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.65/197.72 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult__Suc__right,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_mult__Suc,axiom,
% 197.65/197.72 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__diff__inverse,axiom,
% 197.65/197.72 ! [V_n,V_m] :
% 197.65/197.72 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__diff__conv,axiom,
% 197.65/197.72 ! [V_k_2,V_j_2,V_i_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__add__assoc2,axiom,
% 197.65/197.72 ! [V_i,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__diff__assoc2,axiom,
% 197.65/197.72 ! [V_i,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__add__assoc,axiom,
% 197.65/197.72 ! [V_i,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__imp__diff__is__add,axiom,
% 197.65/197.72 ! [V_k_2,V_j_2,V_i_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 197.65/197.72 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add__diff__inverse2,axiom,
% 197.65/197.72 ! [V_m,V_n] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__diff__conv2,axiom,
% 197.65/197.72 ! [V_i_2,V_j_2,V_k_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_add__diff__assoc,axiom,
% 197.65/197.72 ! [V_i,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add__diff__inverse,axiom,
% 197.65/197.72 ! [V_m,V_n] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__add__diff,axiom,
% 197.65/197.72 ! [V_m,V_n,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__diff__conv,axiom,
% 197.65/197.72 ! [V_i_2,V_k_2,V_j_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__diff__right,axiom,
% 197.65/197.72 ! [V_i,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__eq__plus1__left,axiom,
% 197.65/197.72 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Suc__eq__plus1,axiom,
% 197.65/197.72 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__Suc__diff__eq2,axiom,
% 197.65/197.72 ! [V_m,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_diff__Suc__diff__eq1,axiom,
% 197.65/197.72 ! [V_m,V_j,V_k] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_linorder__neqE__linordered__idom,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Rings_Olinordered__idom(T_a)
% 197.65/197.72 => ( V_x != V_y
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 197.65/197.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 197.65/197.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 197.65/197.72 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 197.65/197.72 ! [V_rx,V_ly,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 197.65/197.72 ! [V_rx,V_ly,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 197.65/197.72 ! [V_ry,V_rx,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 197.65/197.72 ! [V_ry,V_rx,V_lx,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 197.65/197.72 ! [V_b,V_a,T_a] :
% 197.65/197.72 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__insert,axiom,
% 197.65/197.72 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum_Oinsert,axiom,
% 197.65/197.72 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum_Oinsert__remove,axiom,
% 197.65/197.72 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card_Oinsert,axiom,
% 197.65/197.72 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.72 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__diff1_H,axiom,
% 197.65/197.72 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum_Oremove,axiom,
% 197.65/197.72 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__less__add__iff1,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__less__add__iff2,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__le__add__iff1,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2)),V_n_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__diff__add__eq1,axiom,
% 197.65/197.72 ! [V_n,V_m,V_u,V_i,V_j] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__eq__add__iff1,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 197.65/197.72 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i_2),V_j_2)),V_u_2)),V_m_2) = V_n_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__le__add__iff2,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)))
% 197.65/197.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__diff__add__eq2,axiom,
% 197.65/197.72 ! [V_n,V_m,V_u,V_j,V_i] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.65/197.72 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_nat__eq__add__iff2,axiom,
% 197.65/197.72 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i_2),V_u_2)),V_m_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j_2),V_u_2)),V_n_2)
% 197.65/197.72 <=> V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2)),V_u_2)),V_n_2) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_left__add__mult__distrib,axiom,
% 197.65/197.72 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__strict__mono,axiom,
% 197.65/197.72 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.72 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( ! [B_x] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setsum__Un__nat,axiom,
% 197.65/197.72 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_convex__bound__lt,axiom,
% 197.65/197.72 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 197.65/197.72 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 197.65/197.72 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card__Plus,axiom,
% 197.65/197.72 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.65/197.72 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( class_Lattices_Olattice(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Sup__fin_Ounion__inter,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( class_Lattices_Olattice(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_fold1__Un,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_card__Un__disjoint,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod_Ounion__disjoint,axiom,
% 197.65/197.72 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_setprod__Un__disjoint,axiom,
% 197.65/197.72 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__zeroE,axiom,
% 197.65/197.72 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf1I,axiom,
% 197.65/197.72 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 197.65/197.72 ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.65/197.72 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf1E,axiom,
% 197.65/197.72 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.65/197.72 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 197.65/197.72 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le0,axiom,
% 197.65/197.72 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_IntI,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_IntE,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.72 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.65/197.72 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_zero__less__Suc,axiom,
% 197.65/197.72 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_finite__Int,axiom,
% 197.65/197.72 ! [V_Ga_2,V_F_2,T_b] :
% 197.65/197.72 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.72 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 197.65/197.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_zero__reorient,axiom,
% 197.65/197.72 ! [V_x_2,T_b] :
% 197.65/197.72 ( class_Groups_Ozero(T_b)
% 197.65/197.72 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 197.65/197.72 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf_Oidem,axiom,
% 197.65/197.72 ! [V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__idem,axiom,
% 197.65/197.72 ! [V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf_Ocommute,axiom,
% 197.65/197.72 ! [V_b,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__aci_I1_J,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__commute,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf_Oleft__idem,axiom,
% 197.65/197.72 ! [V_b,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__aci_I4_J,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__left__idem,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf_Oleft__commute,axiom,
% 197.65/197.72 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__aci_I3_J,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__left__commute,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf_Oassoc,axiom,
% 197.65/197.72 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__aci_I2_J,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__assoc,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__apply,axiom,
% 197.65/197.72 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 197.65/197.72 ( class_Lattices_Olattice(T_b)
% 197.65/197.72 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf1D1,axiom,
% 197.65/197.72 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.65/197.72 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf1D2,axiom,
% 197.65/197.72 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.65/197.72 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 197.65/197.72 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Int__absorb,axiom,
% 197.65/197.72 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Int__commute,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Int__left__absorb,axiom,
% 197.65/197.72 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Int__left__commute,axiom,
% 197.65/197.72 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Int__assoc,axiom,
% 197.65/197.72 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_Inf__fin_Oidem,axiom,
% 197.65/197.72 ! [V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__infE,axiom,
% 197.65/197.72 ! [V_b,V_a,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)))
% 197.65/197.72 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.65/197.72 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__mono,axiom,
% 197.65/197.72 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__greatest,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__infI,axiom,
% 197.65/197.72 ! [V_b,V_a,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__absorb2,axiom,
% 197.65/197.72 ! [V_x,V_y,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__absorb1,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__infI2,axiom,
% 197.65/197.72 ! [V_a,V_x,V_b,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__infI1,axiom,
% 197.65/197.72 ! [V_b,V_x,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__inf__iff,axiom,
% 197.65/197.72 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 197.65/197.72 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_le__iff__inf,axiom,
% 197.65/197.72 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_b)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.65/197.72 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__le2,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__ord_I2_J,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__le1,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__ord_I1_J,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__infI1,axiom,
% 197.65/197.72 ! [V_b,V_x,V_a,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_less__infI2,axiom,
% 197.65/197.72 ! [V_a,V_x,V_b,T_a] :
% 197.65/197.72 ( class_Lattices_Osemilattice__inf(T_a)
% 197.65/197.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 197.65/197.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__bot__left,axiom,
% 197.65/197.72 ! [V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__bot__right,axiom,
% 197.65/197.72 ! [V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Obounded__lattice__bot(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_sup__inf__distrib2,axiom,
% 197.65/197.72 ! [V_x,V_z,V_y,T_a] :
% 197.65/197.72 ( class_Lattices_Odistrib__lattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__distrib2,axiom,
% 197.65/197.72 ! [V_x,V_z,V_y,T_a] :
% 197.65/197.72 ( class_Lattices_Odistrib__lattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_sup__inf__distrib1,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Odistrib__lattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__distrib1,axiom,
% 197.65/197.72 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Odistrib__lattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_sup__inf__absorb,axiom,
% 197.65/197.72 ! [V_y,V_x,T_a] :
% 197.65/197.72 ( class_Lattices_Olattice(T_a)
% 197.65/197.72 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 197.65/197.72
% 197.65/197.72 fof(fact_inf__sup__absorb,axiom,
% 197.65/197.73 ! [V_y,V_x,T_a] :
% 197.65/197.73 ( class_Lattices_Olattice(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__iff,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_IntD1,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_IntD2,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__empty__left,axiom,
% 197.65/197.73 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__empty__right,axiom,
% 197.65/197.73 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_disjoint__iff__not__equal,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 <=> ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 => ! [B_xa] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 197.65/197.73 => B_x != B_xa ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_insert__inter__insert,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__lower1,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__lower2,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__absorb2,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__absorb1,axiom,
% 197.65/197.73 ! [V_A_2,V_B_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__greatest,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__mono,axiom,
% 197.65/197.73 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__Un__distrib,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Un__Int__distrib,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__Un__distrib2,axiom,
% 197.65/197.73 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Un__Int__distrib2,axiom,
% 197.65/197.73 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Un__Int__crazy,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__Int__distrib,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__Diff,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__Int__distrib2,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__Int2,axiom,
% 197.65/197.73 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__0__left,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Omonoid__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__0,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_double__zero__sym,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 197.65/197.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__0__right,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Omonoid__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add_Ocomm__neutral,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__0__iff,axiom,
% 197.65/197.73 ! [V_a_2,V_b_2,T_b] :
% 197.65/197.73 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 197.65/197.73 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 197.65/197.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_divisors__zero,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ono__zero__divisors(T_a)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 197.65/197.73 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 197.65/197.73 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_no__zero__divisors,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ono__zero__divisors(T_a)
% 197.65/197.73 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.65/197.73 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__eq__0__iff,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Oring__no__zero__divisors(T_b)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__zero__right,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Omult__zero(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__zero__left,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Omult__zero(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_right__minus__eq,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Ogroup__add(T_b)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 <=> V_a_2 = V_b_2 ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_eq__iff__diff__eq__0,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Oab__group__add(T_b)
% 197.65/197.73 => ( V_a_2 = V_b_2
% 197.65/197.73 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__self,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Ogroup__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__0__right,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Groups_Ogroup__add(T_a)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__neq__one,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Ozero__neq__one(T_a)
% 197.65/197.73 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_one__neq__zero,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Ozero__neq__one(T_a)
% 197.65/197.73 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Suc__neq__Zero,axiom,
% 197.65/197.73 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Zero__neq__Suc,axiom,
% 197.65/197.73 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat_Osimps_I3_J,axiom,
% 197.65/197.73 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Suc__not__Zero,axiom,
% 197.65/197.73 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat_Osimps_I2_J,axiom,
% 197.65/197.73 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Zero__not__Suc,axiom,
% 197.65/197.73 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_gr0I,axiom,
% 197.65/197.73 ! [V_n] :
% 197.65/197.73 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_gr__implies__not0,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.65/197.73 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_less__nat__zero__code,axiom,
% 197.65/197.73 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_neq0__conv,axiom,
% 197.65/197.73 ! [V_n_2] :
% 197.65/197.73 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_not__less0,axiom,
% 197.65/197.73 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_plus__nat_Oadd__0,axiom,
% 197.65/197.73 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Nat_Oadd__0__right,axiom,
% 197.65/197.73 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__is__0,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__eq__self__zero,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 197.65/197.73 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_le__0__eq,axiom,
% 197.65/197.73 ! [V_n_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 197.65/197.73 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 197.65/197.73 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diffs0__imp__equal,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => V_m = V_n ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__self__eq__0,axiom,
% 197.65/197.73 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_minus__nat_Odiff__0,axiom,
% 197.65/197.73 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__0__eq__0,axiom,
% 197.65/197.73 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__cancel2,axiom,
% 197.65/197.73 ! [V_n_2,V_k_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)
% 197.65/197.73 <=> ( V_m_2 = V_n_2
% 197.65/197.73 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 197.65/197.73 <=> ( V_m_2 = V_n_2
% 197.65/197.73 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__is__0,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__0__right,axiom,
% 197.65/197.73 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__0,axiom,
% 197.65/197.73 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 197.65/197.73 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 | V_m_2 = V_n_2 ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_finite__Plus__iff,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_finite__Plus,axiom,
% 197.65/197.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.65/197.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_finite__PlusD_I1_J,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 197.65/197.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_finite__PlusD_I2_J,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 197.65/197.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_distrib__inf__le,axiom,
% 197.65/197.73 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.73 ( class_Lattices_Olattice(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_distrib__sup__le,axiom,
% 197.65/197.73 ! [V_z,V_y,V_x,T_a] :
% 197.65/197.73 ( class_Lattices_Olattice(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__Plus__conv__if,axiom,
% 197.65/197.73 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.65/197.73 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 197.65/197.73 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 197.65/197.73 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 197.65/197.73 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__left__if1,axiom,
% 197.65/197.73 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__right__if1,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__left__if0,axiom,
% 197.65/197.73 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 197.65/197.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__right__if0,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 197.65/197.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__left,axiom,
% 197.65/197.73 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 197.65/197.73 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 197.65/197.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Int__insert__right,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 197.65/197.73 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 197.65/197.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__triv,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__disjoint,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Un__Int__assoc__eq,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__Int,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Diff__Un,axiom,
% 197.65/197.73 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Un__Diff__Int,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__nonpos__nonpos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__increasing2,axiom,
% 197.65/197.73 ! [V_a,V_b,V_c,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__increasing,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__nonneg__eq__0__iff,axiom,
% 197.65/197.73 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__nonneg__nonneg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__le__square,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__le__mult__iff,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 197.65/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__0__iff,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__nonneg__nonneg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__nonneg__nonpos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__nonneg__nonpos2,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__nonpos__nonneg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__nonpos__nonpos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__ring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__right__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__left__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__mult__left__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__comm__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__right__mono__neg,axiom,
% 197.65/197.73 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__ring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__left__mono__neg,axiom,
% 197.65/197.73 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__ring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__mono_H,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__mono,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_split__mult__pos__le,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__ring(T_a)
% 197.65/197.73 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_split__mult__neg__le,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Oordered__cancel__semiring(T_a)
% 197.65/197.73 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_pos__add__strict,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__neg__neg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__pos__pos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__left__mono__neg,axiom,
% 197.65/197.73 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__right__mono__neg,axiom,
% 197.65/197.73 ! [V_c,V_a,V_b,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_comm__mult__strict__left__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__left__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__right__mono,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__neg__neg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__neg__pos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel__left__neg,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__mult__pos2,axiom,
% 197.65/197.73 ! [V_a,V_b,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__mult__pos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__pos__neg2,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__pos__neg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__pos__pos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel__left__pos,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel__left__disj,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.65/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel__right__disj,axiom,
% 197.65/197.73 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 197.65/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 197.65/197.73 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_not__square__less__zero,axiom,
% 197.65/197.73 ! [V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring(T_a)
% 197.65/197.73 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_le__iff__diff__le__0,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_less__iff__diff__less__0,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__scale__eq__noteq,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 197.65/197.73 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 197.65/197.73 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 197.65/197.73 => ( ( V_a = V_b
% 197.65/197.73 & V_c != V_d )
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_sum__squares__eq__zero__iff,axiom,
% 197.65/197.73 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_not__one__le__zero,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__le__one,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_not__one__less__zero,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__one,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__empty,axiom,
% 197.65/197.73 ! [V_f_2,T_c,T_b] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum_Oempty,axiom,
% 197.65/197.73 ! [V_g_2,T_c,T_b] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__infinite,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum_Oinfinite,axiom,
% 197.65/197.73 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod__zero,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Rings_Ocomm__semiring__1(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( ? [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod__zero__iff,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 197.65/197.73 & class_Rings_Ono__zero__divisors(T_c) )
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 197.65/197.73 <=> ? [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_gr0__conv__Suc,axiom,
% 197.65/197.73 ! [V_n_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.65/197.73 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_less__Suc0,axiom,
% 197.65/197.73 ! [V_n_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))
% 197.65/197.73 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_less__Suc__eq__0__disj,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.65/197.73 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 | ? [B_j] :
% 197.65/197.73 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_one__is__add,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)
% 197.65/197.73 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.65/197.73 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__is__1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.65/197.73 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__gr__0,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 197.65/197.73 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card_Oempty,axiom,
% 197.65/197.73 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__infinite,axiom,
% 197.65/197.73 ! [V_A_2,T_b] :
% 197.65/197.73 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__eq__1__iff,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__less,axiom,
% 197.65/197.73 ! [V_m,V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__diff,axiom,
% 197.65/197.73 ! [V_m_2,V_n_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__mono2,axiom,
% 197.65/197.73 ! [V_k,V_j,V_i] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__mono1,axiom,
% 197.65/197.73 ! [V_k,V_j,V_i] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel2,axiom,
% 197.65/197.73 ! [V_n_2,V_k_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__0__less__mult__iff,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__mult__eq__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)
% 197.65/197.73 <=> V_m_2 = V_n_2 ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__mult__less__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__add__0,axiom,
% 197.65/197.73 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__is__0__eq_H,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__is__0__eq,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_One__nat__def,axiom,
% 197.65/197.73 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__eq__self__implies__10,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 197.65/197.73 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.73 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__eq__0__iff,axiom,
% 197.65/197.73 ! [V_f_2,V_F_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 197.65/197.73 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_inf__Sup__absorb,axiom,
% 197.65/197.73 ! [V_a_2,V_A_2,T_b] :
% 197.65/197.73 ( class_Lattices_Olattice(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__nonpos__neg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__neg__nonpos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__strict__increasing2,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__strict__increasing,axiom,
% 197.65/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__nonneg__pos,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__pos__nonneg,axiom,
% 197.65/197.73 ! [V_b,V_a,T_a] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__cancel__left__pos,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__cancel__left__neg,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__mono,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__strict__mono_H,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__le__imp__less,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__less__imp__less,axiom,
% 197.65/197.73 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__right__less__imp__less,axiom,
% 197.65/197.73 ! [V_b,V_c,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__imp__less__right,axiom,
% 197.65/197.73 ! [V_b,V_c,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__left__less__imp__less,axiom,
% 197.65/197.73 ! [V_b,V_a,V_c,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__less__imp__less__left,axiom,
% 197.65/197.73 ! [V_b,V_a,V_c,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__right__le__imp__le,axiom,
% 197.65/197.73 ! [V_b,V_c,V_a,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__left__le__imp__le,axiom,
% 197.65/197.73 ! [V_b,V_a,V_c,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__strict(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_sum__squares__ge__zero,axiom,
% 197.65/197.73 ! [V_y,V_x,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_sum__squares__le__zero__iff,axiom,
% 197.65/197.73 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_not__sum__squares__lt__zero,axiom,
% 197.65/197.73 ! [V_y,V_x,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__ring(T_a)
% 197.65/197.73 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_sum__squares__gt__zero__iff,axiom,
% 197.65/197.73 ! [V_y_2,V_x_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__ring__strict(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 197.65/197.73 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__right__le__one__le,axiom,
% 197.65/197.73 ! [V_y,V_x,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__idom(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__left__le__one__le,axiom,
% 197.65/197.73 ! [V_y,V_x,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__idom(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_zero__less__two,axiom,
% 197.65/197.73 ! [T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semidom(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__eq__0__iff,axiom,
% 197.65/197.73 ! [V_A_2,T_b] :
% 197.65/197.73 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__ge__0__finite,axiom,
% 197.65/197.73 ! [V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 197.65/197.73 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_diff__Suc__less,axiom,
% 197.65/197.73 ! [V_i,V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Suc__pred,axiom,
% 197.65/197.73 ! [V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.65/197.73 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_one__less__mult,axiom,
% 197.65/197.73 ! [V_m,V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_n__less__n__mult__m,axiom,
% 197.65/197.73 ! [V_m,V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_n__less__m__mult__n,axiom,
% 197.65/197.73 ! [V_m,V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__diff__split__asm,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_P_2] :
% 197.65/197.73 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 197.65/197.73 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.65/197.73 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.65/197.73 | ? [B_d] :
% 197.65/197.73 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 197.65/197.73 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__diff__split,axiom,
% 197.65/197.73 ! [V_b_2,V_a_2,V_P_2] :
% 197.65/197.73 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 197.65/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.65/197.73 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.65/197.73 & ! [B_d] :
% 197.65/197.73 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 197.65/197.73 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_one__le__mult__iff,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2))
% 197.65/197.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__le__cancel2,axiom,
% 197.65/197.73 ! [V_n_2,V_k_2,V_m_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.65/197.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_nat__mult__le__cancel1,axiom,
% 197.65/197.73 ! [V_n_2,V_m_2,V_k_2] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.73 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.65/197.73 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__eq__Suc0__iff,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 <=> ? [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.65/197.73 & ! [B_xa] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 197.65/197.73 => ( B_x != B_xa
% 197.65/197.73 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__eq__1__iff,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.73 <=> ? [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 197.65/197.73 & ! [B_xa] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 197.65/197.73 => ( B_x != B_xa
% 197.65/197.73 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod__pos__nat__iff,axiom,
% 197.65/197.73 ! [V_f_2,V_S_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 197.65/197.73 <=> ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_fold1__belowI,axiom,
% 197.65/197.73 ! [V_a_2,V_A_2,T_b] :
% 197.65/197.73 ( class_Lattices_Osemilattice__inf(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_below__fold1__iff,axiom,
% 197.65/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.65/197.73 ( class_Lattices_Osemilattice__inf(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 197.65/197.73 <=> ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__Un__Int,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod__Un__Int,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod_Ounion__inter,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card_Ounion__inter,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__Un__Int,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__Diff__subset__Int,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_convex__bound__le,axiom,
% 197.65/197.73 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 197.65/197.73 ( class_Rings_Olinordered__semiring__1(T_a)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_folding__one_Ounion__inter,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.73 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_folding__one_Ounion__disjoint,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.65/197.73 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.65/197.73 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 197.65/197.73 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__gt__0__iff,axiom,
% 197.65/197.73 ! [V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 197.65/197.73 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Suc__pred_H,axiom,
% 197.65/197.73 ! [V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.65/197.73 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Suc__diff__1,axiom,
% 197.65/197.73 ! [V_n] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.65/197.73 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_add__eq__if,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 197.65/197.73 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_mult__eq__if,axiom,
% 197.65/197.73 ! [V_n,V_m] :
% 197.65/197.73 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.65/197.73 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__Un__disjoint,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__Un,axiom,
% 197.65/197.73 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Oab__group__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_even__less__0__iff,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__idom(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.65/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__mono2,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.73 => ( ! [B_b] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_triple_Osize_I1_J,axiom,
% 197.65/197.73 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_b,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Plus__eq__empty__conv,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.65/197.73 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 197.65/197.73 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.65/197.73 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card_Ounion__inter__neutral,axiom,
% 197.65/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.65/197.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.65/197.73 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setprod__Un__one,axiom,
% 197.65/197.73 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.65/197.73 => ( ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.65/197.73 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__Un__zero,axiom,
% 197.65/197.73 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.65/197.73 => ( ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.65/197.73 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 197.65/197.73 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.65/197.73 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.65/197.73 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 197.65/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_bot__nat__def,axiom,
% 197.65/197.73 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_double__eq__0__iff,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.65/197.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.65/197.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_triple_Osize_I2_J,axiom,
% 197.65/197.73 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_card__Suc__eq,axiom,
% 197.65/197.73 ! [V_k_2,V_A_2,T_b] :
% 197.65/197.73 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 197.65/197.73 <=> ? [B_b,B_B] :
% 197.65/197.73 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 197.65/197.73 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 197.65/197.73 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 197.65/197.73 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.65/197.73 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_setsum__mono3,axiom,
% 197.65/197.73 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 197.65/197.73 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 197.65/197.73 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 197.65/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.65/197.73 => ( ! [B_x] :
% 197.65/197.73 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 197.65/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 197.65/197.73
% 197.65/197.73 fof(fact_Ints__odd__less__0,axiom,
% 197.65/197.73 ! [V_a_2,T_b] :
% 197.65/197.73 ( class_Rings_Olinordered__idom(T_b)
% 197.65/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Oremove,axiom,
% 197.76/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.73 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 197.76/197.73 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_com_Osize_I4_J,axiom,
% 197.76/197.73 ! [V_com2,V_com1] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1)),c_Com_Ocom_Ocom__size(V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_com_Osize_I12_J,axiom,
% 197.76/197.73 ! [V_com2,V_com1] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSemi(V_com1,V_com2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_setprod__diff1,axiom,
% 197.76/197.73 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.73 ( class_Fields_Ofield(T_c)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 197.76/197.73 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 197.76/197.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__zero__left,axiom,
% 197.76/197.73 ! [V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__zero,axiom,
% 197.76/197.73 ! [V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_add__divide__distrib,axiom,
% 197.76/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_times__divide__eq__right,axiom,
% 197.76/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_diff__divide__distrib,axiom,
% 197.76/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__1,axiom,
% 197.76/197.73 ! [V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_nonzero__eq__divide__eq,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_b)
% 197.76/197.73 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.73 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 197.76/197.73 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_nonzero__divide__eq__eq,axiom,
% 197.76/197.73 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_b)
% 197.76/197.73 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.73 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 197.76/197.73 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__eq__imp,axiom,
% 197.76/197.73 ! [V_a,V_b,V_c,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.73 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_eq__divide__imp,axiom,
% 197.76/197.73 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.73 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 197.76/197.73 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_right__inverse__eq,axiom,
% 197.76/197.73 ! [V_a_2,V_b_2,T_b] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_b)
% 197.76/197.73 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.73 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.73 <=> V_a_2 = V_b_2 ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__self,axiom,
% 197.76/197.73 ! [V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.73 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__self__if,axiom,
% 197.76/197.73 ! [V_a,T_a] :
% 197.76/197.73 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 197.76/197.73 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.76/197.73 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Osingleton,axiom,
% 197.76/197.73 ! [V_x_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__0,axiom,
% 197.76/197.73 ! [T_b] :
% 197.76/197.73 ( class_Rings_Oring__1(T_b)
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__add,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.73 ( class_Rings_Oring__1(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__mult,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.73 ( class_Rings_Oring__1(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__diff,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.73 ( class_Rings_Oring__1(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__1,axiom,
% 197.76/197.73 ! [T_b] :
% 197.76/197.73 ( class_Rings_Oring__1(T_b)
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_sup__Inf__absorb,axiom,
% 197.76/197.73 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Oin__idem,axiom,
% 197.76/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_com_Osize_I9_J,axiom,
% 197.76/197.73 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_com_Osize_I1_J,axiom,
% 197.76/197.73 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_OF__eq,axiom,
% 197.76/197.73 ! [V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__double__eq__0__iff,axiom,
% 197.76/197.73 ! [V_a_2,T_b] :
% 197.76/197.73 ( class_Int_Oring__char__0(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.73 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 197.76/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Osubset__idem,axiom,
% 197.76/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Ounion__idem,axiom,
% 197.76/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__le__Sup,axiom,
% 197.76/197.73 ! [V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Ints__odd__nonzero,axiom,
% 197.76/197.73 ! [V_a_2,T_b] :
% 197.76/197.73 ( class_Int_Oring__char__0(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Oinsert,axiom,
% 197.76/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 197.76/197.73 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.76/197.73 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Ounion__inter,axiom,
% 197.76/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 197.76/197.73 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.73 ( class_Lattices_Olattice(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.73 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.73 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.73 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_le__divide__eq,axiom,
% 197.76/197.73 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 197.76/197.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 197.76/197.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__le__eq,axiom,
% 197.76/197.73 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.73 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 197.76/197.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 197.76/197.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_pos__le__divide__eq,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_pos__divide__le__eq,axiom,
% 197.76/197.73 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_mult__imp__div__pos__le,axiom,
% 197.76/197.73 ! [V_z,V_x,V_y,T_a] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_mult__imp__le__div__pos,axiom,
% 197.76/197.73 ! [V_x,V_z,V_y,T_a] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 197.76/197.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_neg__le__divide__eq,axiom,
% 197.76/197.73 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_neg__divide__le__eq,axiom,
% 197.76/197.73 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 197.76/197.73 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_times__divide__times__eq,axiom,
% 197.76/197.73 ! [V_w,V_z,V_y,V_x,T_a] :
% 197.76/197.73 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.73 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 197.76/197.73
% 197.76/197.73 fof(fact_divide__right__mono__neg,axiom,
% 197.76/197.73 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.73 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__right__mono,axiom,
% 197.76/197.74 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__le__0__iff,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 197.76/197.74 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__le__divide__iff,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 197.76/197.74 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__less__divide__iff,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 197.76/197.74 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__less__0__iff,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 197.76/197.74 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__pos__pos,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__pos__neg,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__neg__pos,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__neg__neg,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__strict__right__mono,axiom,
% 197.76/197.74 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__strict__right__mono__neg,axiom,
% 197.76/197.74 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__divide__eq,axiom,
% 197.76/197.74 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 197.76/197.74 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 197.76/197.74 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__eq__eq,axiom,
% 197.76/197.74 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 197.76/197.74 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 197.76/197.74 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__divide__mult__cancel__right,axiom,
% 197.76/197.74 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.74 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__divide__mult__cancel__left,axiom,
% 197.76/197.74 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.74 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_frac__eq__eq,axiom,
% 197.76/197.74 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 197.76/197.74 ( class_Fields_Ofield(T_b)
% 197.76/197.74 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 197.76/197.74 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__nonpos__neg,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__nonpos__pos,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_frac__le,axiom,
% 197.76/197.74 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_frac__less,axiom,
% 197.76/197.74 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_frac__less2,axiom,
% 197.76/197.74 ! [V_z,V_w,V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__nonneg__neg,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__nonneg__pos,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__divide__eq,axiom,
% 197.76/197.74 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__less__eq,axiom,
% 197.76/197.74 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_pos__less__divide__eq,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_pos__divide__less__eq,axiom,
% 197.76/197.74 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__imp__div__pos__less,axiom,
% 197.76/197.74 ! [V_z,V_x,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__imp__less__div__pos,axiom,
% 197.76/197.74 ! [V_x,V_z,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_neg__less__divide__eq,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_neg__divide__less__eq,axiom,
% 197.76/197.74 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__strict__left__mono,axiom,
% 197.76/197.74 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__strict__left__mono__neg,axiom,
% 197.76/197.74 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__num__frac,axiom,
% 197.76/197.74 ! [V_x,V_z,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.74 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__divide__eq__iff,axiom,
% 197.76/197.74 ! [V_y,V_x,V_z,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__frac__num,axiom,
% 197.76/197.74 ! [V_z,V_x,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.74 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__add__eq__iff,axiom,
% 197.76/197.74 ! [V_y,V_x,V_z,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__frac__eq,axiom,
% 197.76/197.74 ! [V_w,V_x,V_z,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_diff__divide__eq__iff,axiom,
% 197.76/197.74 ! [V_y,V_x,V_z,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__diff__eq__iff,axiom,
% 197.76/197.74 ! [V_y,V_x,V_z,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_diff__frac__eq,axiom,
% 197.76/197.74 ! [V_w,V_x,V_z,V_y,T_a] :
% 197.76/197.74 ( class_Fields_Ofield(T_a)
% 197.76/197.74 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_gt__half__sum,axiom,
% 197.76/197.74 ! [V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__half__sum,axiom,
% 197.76/197.74 ! [V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__left__mono__neg,axiom,
% 197.76/197.74 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__left__mono,axiom,
% 197.76/197.74 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setprod__Un,axiom,
% 197.76/197.74 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Fields_Ofield(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.74 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Inf__fin_Oclosed,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Olattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.74 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__Un__disjoint,axiom,
% 197.76/197.74 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.74 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.74 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_ex__least__nat__less,axiom,
% 197.76/197.74 ! [V_n_2,V_P_2] :
% 197.76/197.74 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 197.76/197.74 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 197.76/197.74 => ? [B_k] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 197.76/197.74 & ! [B_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 197.76/197.74 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 197.76/197.74 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum__mono__zero__left,axiom,
% 197.76/197.74 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.76/197.74 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum__mono__zero__right,axiom,
% 197.76/197.74 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 197.76/197.74 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_field__le__mult__one__interval,axiom,
% 197.76/197.74 ! [V_y,V_x,T_a] :
% 197.76/197.74 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.74 => ( ! [B_z] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) )
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setprod__pos__nat,axiom,
% 197.76/197.74 ! [V_f_2,V_S_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__empty,axiom,
% 197.76/197.74 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 197.76/197.74
% 197.76/197.74 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 197.76/197.74 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.74 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__insert,axiom,
% 197.76/197.74 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Oab__semigroup__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.74 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum_Oeq__fold,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum_OF__eq,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.74 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setprod_OF__eq,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setprod_Oeq__fold,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__Un__Int,axiom,
% 197.76/197.74 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_comm__monoid__big_OF__eq,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.74 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.74 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.74 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__Un__one,axiom,
% 197.76/197.74 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 197.76/197.74 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.76/197.74 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.74 => hAPP(V_g_2,B_x) = V_z_2 )
% 197.76/197.74 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum__SucD,axiom,
% 197.76/197.74 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 197.76/197.74 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 197.76/197.74 => ? [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osize_I13_J,axiom,
% 197.76/197.74 ! [V_com2_2,V_com1_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com1_2)),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osize_I5_J,axiom,
% 197.76/197.74 ! [V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com1_2)),c_Com_Ocom_Ocom__size(V_com2_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__1,axiom,
% 197.76/197.74 ! [V_f_2,V_S_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.74 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 197.76/197.74 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_card_Oneutral,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.74 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.74 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_evaln_OIfFalse,axiom,
% 197.76/197.74 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 197.76/197.74 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 197.76/197.74 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2)
% 197.76/197.74 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_evaln_OIfTrue,axiom,
% 197.76/197.74 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 197.76/197.74 ( hBOOL(hAPP(V_b_2,V_s_2))
% 197.76/197.74 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2)
% 197.76/197.74 => c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2),V_s_2,V_n_2,V_s1_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_evaln__elim__cases_I5_J,axiom,
% 197.76/197.74 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 197.76/197.74 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2),V_s_2,V_n_2,V_t_2)
% 197.76/197.74 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 197.76/197.74 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) )
% 197.76/197.74 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 197.76/197.74 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I4_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 197.76/197.74 ( c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) = c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2)
% 197.76/197.74 <=> ( V_fun_2 = V_fun_H_2
% 197.76/197.74 & V_com1_2 = V_com1_H_2
% 197.76/197.74 & V_com2_2 = V_com2_H_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_evaln_Oequations_I5_J,axiom,
% 197.76/197.74 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 197.76/197.74 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2),V_a2_2,V_a4_2,V_a5_2)
% 197.76/197.74 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.74 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 197.76/197.74 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.74 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_evaln_Oequations_I6_J,axiom,
% 197.76/197.74 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 197.76/197.74 ( c_Natural_Oevaln(c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2),V_a2_2,V_a4_2,V_a5_2)
% 197.76/197.74 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.74 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 197.76/197.74 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.74 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I44_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I45_J,axiom,
% 197.76/197.74 ! [V_com2_2,V_com1_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I14_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I15_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OSKIP ).
% 197.76/197.74
% 197.76/197.74 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 197.76/197.74 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.74 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.74 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__image__cong,axiom,
% 197.76/197.74 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( class_Groups_Oab__semigroup__mult(T_c)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.74 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 197.76/197.74 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_expand__Suc,axiom,
% 197.76/197.74 ! [V_v] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osize_I3_J,axiom,
% 197.76/197.74 ! [V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osize_I11_J,axiom,
% 197.76/197.74 ! [V_com_2,V_fun_2,V_loc_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 197.76/197.74 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Olattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 197.76/197.74 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Olattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold1__eq__fold,axiom,
% 197.76/197.74 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.74 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__reorient,axiom,
% 197.76/197.74 ! [V_x_2,V_w_2,T_b] :
% 197.76/197.74 ( class_Int_Onumber(T_b)
% 197.76/197.74 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 197.76/197.74 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__number__of,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Int_Oring__char__0(T_b) )
% 197.76/197.74 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 197.76/197.74 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I2_J,axiom,
% 197.76/197.74 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 197.76/197.74 ( c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) = c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2)
% 197.76/197.74 <=> ( V_loc_2 = V_loc_H_2
% 197.76/197.74 & V_fun_2 = V_fun_H_2
% 197.76/197.74 & V_com_2 = V_com_H_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__number__of,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__number__of,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__add,axiom,
% 197.76/197.74 ! [V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__number__of__eq,axiom,
% 197.76/197.74 ! [V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__number__of__left,axiom,
% 197.76/197.74 ! [V_z,V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__mult,axiom,
% 197.76/197.74 ! [V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_arith__simps_I32_J,axiom,
% 197.76/197.74 ! [V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__number__of__left,axiom,
% 197.76/197.74 ! [V_z,V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__diff,axiom,
% 197.76/197.74 ! [V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__empty,axiom,
% 197.76/197.74 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I37_J,axiom,
% 197.76/197.74 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2,V_fun_H_2] : c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I36_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I34_J,axiom,
% 197.76/197.74 ! [V_com2_H_2,V_com1_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I35_J,axiom,
% 197.76/197.74 ! [V_com_2,V_fun_2,V_loc_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I11_J,axiom,
% 197.76/197.74 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 197.76/197.74
% 197.76/197.74 fof(fact_com_Osimps_I10_J,axiom,
% 197.76/197.74 ! [V_com_H_2,V_fun_H_2,V_loc_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__number__of__eq__not__less,axiom,
% 197.76/197.74 ! [V_w_2,V_v_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber(T_b)
% 197.76/197.74 & class_Orderings_Olinorder(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_left__distrib__number__of,axiom,
% 197.76/197.74 ! [V_v,V_b,V_a,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber(T_b)
% 197.76/197.74 & class_Rings_Osemiring(T_b) )
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_right__distrib__number__of,axiom,
% 197.76/197.74 ! [V_c,V_b,V_v,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber(T_b)
% 197.76/197.74 & class_Rings_Osemiring(T_b) )
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__number__of__diff1,axiom,
% 197.76/197.74 ! [V_c,V_w,V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_left__diff__distrib__number__of,axiom,
% 197.76/197.74 ! [V_v,V_b,V_a,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber(T_b)
% 197.76/197.74 & class_Rings_Oring(T_b) )
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_right__diff__distrib__number__of,axiom,
% 197.76/197.74 ! [V_c,V_b,V_v,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber(T_b)
% 197.76/197.74 & class_Rings_Oring(T_b) )
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Ints__number__of,axiom,
% 197.76/197.74 ! [V_w_2,T_b] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__eq__eq__number__of1,axiom,
% 197.76/197.74 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 197.76/197.74 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 197.76/197.74 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__eq__eq__number__of,axiom,
% 197.76/197.74 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 197.76/197.74 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 197.76/197.74 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__divide__eq__number__of,axiom,
% 197.76/197.74 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 197.76/197.74 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 197.76/197.74 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__divide__eq__number__of1,axiom,
% 197.76/197.74 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 197.76/197.74 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 197.76/197.74 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.74 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_union__fold__insert,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__sup__insert,axiom,
% 197.76/197.74 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__sup(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__inf__insert,axiom,
% 197.76/197.74 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__inf(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 197.76/197.74 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_sup__le__fold__sup,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__sup(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold__inf__le__inf,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__inf(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__less__eq__number__of1,axiom,
% 197.76/197.74 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__less__eq__number__of,axiom,
% 197.76/197.74 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__divide__eq__number__of,axiom,
% 197.76/197.74 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__divide__eq__number__of1,axiom,
% 197.76/197.74 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fold1__eq__fold__idem,axiom,
% 197.76/197.74 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 197.76/197.74 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Olattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 197.76/197.74 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Lattices_Olattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_folding__one_Oeq__fold_H,axiom,
% 197.76/197.74 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__divide__eq__number__of1,axiom,
% 197.76/197.74 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__divide__eq__number__of,axiom,
% 197.76/197.74 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__le__eq__number__of,axiom,
% 197.76/197.74 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__le__eq__number__of1,axiom,
% 197.76/197.74 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 197.76/197.74 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.74 & class_Int_Onumber(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 197.76/197.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 197.76/197.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 197.76/197.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 197.76/197.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__fold__sup,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 197.76/197.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 197.76/197.74 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__eq__number__of__int__code,axiom,
% 197.76/197.74 ! [V_l_2,V_k_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_times__numeral__code_I5_J,axiom,
% 197.76/197.74 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__number__of__int__code,axiom,
% 197.76/197.74 ! [V_l_2,V_k_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_plus__numeral__code_I9_J,axiom,
% 197.76/197.74 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 197.76/197.74 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.74 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 197.76/197.74 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__strict__right__mono,axiom,
% 197.76/197.74 ! [V_k,V_j,V_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__zmult__distrib,axiom,
% 197.76/197.74 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__zmult__distrib2,axiom,
% 197.76/197.74 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__add1__eq,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 197.76/197.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 197.76/197.74 | V_w_2 = V_z_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__add1__eq__le,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add1__zle__eq,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__imp__add1__zle,axiom,
% 197.76/197.74 ! [V_z,V_w] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__zless__mono,axiom,
% 197.76/197.74 ! [V_z,V_z_H,V_w,V_w_H] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__assoc,axiom,
% 197.76/197.74 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__left__commute,axiom,
% 197.76/197.74 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__commute,axiom,
% 197.76/197.74 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__left__mono,axiom,
% 197.76/197.74 ! [V_k,V_j,V_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiff__zmult__distrib,axiom,
% 197.76/197.74 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiff__zmult__distrib2,axiom,
% 197.76/197.74 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__assoc,axiom,
% 197.76/197.74 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__linear,axiom,
% 197.76/197.74 ! [V_y,V_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 197.76/197.74 | V_x = V_y
% 197.76/197.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__commute,axiom,
% 197.76/197.74 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__le,axiom,
% 197.76/197.74 ! [V_w_2,V_z_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 197.76/197.74 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 197.76/197.74 & V_z_2 != V_w_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__refl,axiom,
% 197.76/197.74 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__linear,axiom,
% 197.76/197.74 ! [V_w,V_z] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 197.76/197.74 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__trans,axiom,
% 197.76/197.74 ! [V_k,V_j,V_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__antisym,axiom,
% 197.76/197.74 ! [V_w,V_z] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 197.76/197.74 => V_z = V_w ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__1,axiom,
% 197.76/197.74 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__1__right,axiom,
% 197.76/197.74 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__diff1__eq,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_pos__zmult__eq__1__iff,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 197.76/197.74 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.74 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.74 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__0__less__1,axiom,
% 197.76/197.74 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__one__le__iff__zero__less,axiom,
% 197.76/197.74 ! [V_z_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__zless__mono2,axiom,
% 197.76/197.74 ! [V_k,V_j,V_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__bin__lemma,axiom,
% 197.76/197.74 ! [V_l_2,V_k_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__0,axiom,
% 197.76/197.74 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__0__right,axiom,
% 197.76/197.74 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 197.76/197.74
% 197.76/197.74 fof(fact_odd__nonzero,axiom,
% 197.76/197.74 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__imp__0__less,axiom,
% 197.76/197.74 ! [V_z] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_odd__less__0,axiom,
% 197.76/197.74 ! [V_z_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_finite__UnionD,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 197.76/197.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Groups_Oab__semigroup__mult(T_b)
% 197.76/197.74 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem__insert,axiom,
% 197.76/197.74 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.76/197.74 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem__sup,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__sup(T_b)
% 197.76/197.74 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm__idem__inf,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Lattices_Osemilattice__inf(T_b)
% 197.76/197.74 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 197.76/197.74 => V_y_2 = V_x_2 ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 197.76/197.74 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 197.76/197.74 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 197.76/197.74 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_sup__Sup__fold__sup,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__fin__Sup,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.74 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 197.76/197.74 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 197.76/197.74 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 197.76/197.74 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_unique__quotient__lemma__neg,axiom,
% 197.76/197.74 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiv__mono2__lemma,axiom,
% 197.76/197.74 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 197.76/197.74 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_unique__quotient__lemma,axiom,
% 197.76/197.74 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_q__neg__lemma,axiom,
% 197.76/197.74 ! [V_r_H,V_q_H,V_b_H] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_q__pos__lemma,axiom,
% 197.76/197.74 ! [V_r_H,V_q_H,V_b_H] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_self__quotient__aux1,axiom,
% 197.76/197.74 ! [V_q,V_r,V_a] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.74 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__is__id,axiom,
% 197.76/197.74 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__0__neq__1,axiom,
% 197.76/197.74 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_self__quotient__aux2,axiom,
% 197.76/197.74 ! [V_q,V_r,V_a] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.74 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_UnionI,axiom,
% 197.76/197.74 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__binary,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__Int__subset,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__disjoint,axiom,
% 197.76/197.74 ! [V_A_2,V_C_2,T_b] :
% 197.76/197.74 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.74 <=> ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 197.76/197.74 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__insert,axiom,
% 197.76/197.74 ! [V_A_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__singleton,axiom,
% 197.76/197.74 ! [V_a_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 197.76/197.74 ! [V_y,V_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 197.76/197.74 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__le__iff,axiom,
% 197.76/197.74 ! [V_b_2,V_A_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 197.76/197.74 <=> ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__Sup__iff,axiom,
% 197.76/197.74 ! [V_S_2,V_a_2,T_b] :
% 197.76/197.74 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 & class_Orderings_Olinorder(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 197.76/197.74 <=> ? [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__empty,axiom,
% 197.76/197.74 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__mono,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__upper,axiom,
% 197.76/197.74 ! [V_A_2,V_B_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Un__eq__Union,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__insert,axiom,
% 197.76/197.74 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Union__Un__distrib,axiom,
% 197.76/197.74 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__upper,axiom,
% 197.76/197.74 ! [V_A_2,V_x_2,T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 197.76/197.74 ! [V_y,V_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Sup__empty,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.74 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 197.76/197.74 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 197.76/197.74 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.74 => ? [B_y_H] :
% 197.76/197.74 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 197.76/197.74 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_finite__Union,axiom,
% 197.76/197.74 ! [V_A_2,T_b] :
% 197.76/197.74 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 197.76/197.74 => ( ! [B_M] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 197.76/197.74 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_tsub__def,axiom,
% 197.76/197.74 ! [V_x,V_y] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.76/197.74 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.76/197.74 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__number__of__lemma,axiom,
% 197.76/197.74 ! [V_v,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 197.76/197.74 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.74 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.74 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 197.76/197.74 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.74 => ~ ! [B_y] :
% 197.76/197.74 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 197.76/197.74 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__nat__number__of,axiom,
% 197.76/197.74 ! [V_v_H,V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_nat__number__of__mult__left,axiom,
% 197.76/197.74 ! [V_k,V_v_H,V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 197.76/197.74 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__eq__iff,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2,T_b] :
% 197.76/197.74 ( class_Nat_Osemiring__char__0(T_b)
% 197.76/197.74 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)
% 197.76/197.74 <=> V_m_2 = V_n_2 ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Pls__def,axiom,
% 197.76/197.74 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_rel__simps_I19_J,axiom,
% 197.76/197.74 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_rel__simps_I2_J,axiom,
% 197.76/197.74 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__Pls,axiom,
% 197.76/197.74 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__Pls__right,axiom,
% 197.76/197.74 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 197.76/197.74
% 197.76/197.74 fof(fact_mult__Pls,axiom,
% 197.76/197.74 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 197.76/197.74
% 197.76/197.74 fof(fact_diff__bin__simps_I1_J,axiom,
% 197.76/197.74 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__0,axiom,
% 197.76/197.74 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__eq__0__conv,axiom,
% 197.76/197.74 ! [V_n_2] :
% 197.76/197.74 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.74 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 197.76/197.74 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__zle__int,axiom,
% 197.76/197.74 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 197.76/197.74 ! [V_P_2] :
% 197.76/197.74 ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.74 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.74 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 197.76/197.74 ! [V_P_2] :
% 197.76/197.74 ( ? [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.74 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.74 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 197.76/197.74 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__less__0__conv,axiom,
% 197.76/197.74 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__int,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__int,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__int__left,axiom,
% 197.76/197.74 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zadd__int,axiom,
% 197.76/197.74 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 197.76/197.74 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zle__iff__zadd,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 197.76/197.74 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__le__imp__of__nat,axiom,
% 197.76/197.74 ! [V_m,T_a] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__0__le__iff,axiom,
% 197.76/197.74 ! [V_n,T_a] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__less__0__iff,axiom,
% 197.76/197.74 ! [V_m,T_a] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.74 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_semiring__norm_I112_J,axiom,
% 197.76/197.74 ! [T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__Pls,axiom,
% 197.76/197.74 ! [T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__mult,axiom,
% 197.76/197.74 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__int,axiom,
% 197.76/197.74 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 197.76/197.74 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__numeral__0__right,axiom,
% 197.76/197.74 ! [V_a,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__numeral__0,axiom,
% 197.76/197.74 ! [V_a,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__0,axiom,
% 197.76/197.74 ! [T_a] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__less__iff,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2,T_b] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__imp__of__nat__less,axiom,
% 197.76/197.74 ! [V_n,V_m,T_a] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__less__imp__less,axiom,
% 197.76/197.74 ! [V_n,V_m,T_a] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__1,axiom,
% 197.76/197.74 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 197.76/197.74 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__le__iff,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2,T_b] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__add,axiom,
% 197.76/197.74 ! [V_n,V_m,T_a] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_bin__less__0__simps_I1_J,axiom,
% 197.76/197.74 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_semiring__norm_I113_J,axiom,
% 197.76/197.74 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_nat__number__of__Pls,axiom,
% 197.76/197.74 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__mult,axiom,
% 197.76/197.74 ! [V_n,V_m,T_a] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__is__num__zero,axiom,
% 197.76/197.74 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__1,axiom,
% 197.76/197.74 ! [T_a] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Ints__of__nat,axiom,
% 197.76/197.74 ! [V_n_2,T_b] :
% 197.76/197.74 ( class_Rings_Oring__1(T_b)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__le__0__conv,axiom,
% 197.76/197.74 ! [V_n_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.74 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__Suc0__eq__1,axiom,
% 197.76/197.74 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zless__iff__Suc__zadd,axiom,
% 197.76/197.74 ! [V_z_2,V_w_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 197.76/197.74 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__Suc,axiom,
% 197.76/197.74 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiff__int,axiom,
% 197.76/197.74 ! [V_m,V_n] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__Suc,axiom,
% 197.76/197.74 ! [V_m,T_a] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_divide__Numeral0,axiom,
% 197.76/197.74 ! [V_x,T_a] :
% 197.76/197.74 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.74 & class_Int_Onumber__ring(T_a) )
% 197.76/197.74 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__0__number__of,axiom,
% 197.76/197.74 ! [V_v_2] :
% 197.76/197.74 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_eq__number__of__0,axiom,
% 197.76/197.74 ! [V_v_2] :
% 197.76/197.74 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__nat__number__of,axiom,
% 197.76/197.74 ! [V_v_H_2,V_v_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 197.76/197.74 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__diff,axiom,
% 197.76/197.74 ! [V_m,V_n,T_a] :
% 197.76/197.74 ( class_Rings_Oring__1(T_a)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.74 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__nat__number__of,axiom,
% 197.76/197.74 ! [V_v_H_2,V_v_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 197.76/197.74 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zero__less__int__conv,axiom,
% 197.76/197.74 ! [V_n_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zmult__zless__mono2__lemma,axiom,
% 197.76/197.74 ! [V_k,V_j,V_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__special_I1_J,axiom,
% 197.76/197.74 ! [V_y_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__special_I3_J,axiom,
% 197.76/197.74 ! [V_x_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__special_I3_J,axiom,
% 197.76/197.74 ! [V_x_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__special_I1_J,axiom,
% 197.76/197.74 ! [V_y_2,T_b] :
% 197.76/197.74 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__0__less__iff,axiom,
% 197.76/197.74 ! [V_n_2,T_b] :
% 197.76/197.74 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_less__0__number__of,axiom,
% 197.76/197.74 ! [V_v_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_add__nat__number__of,axiom,
% 197.76/197.74 ! [V_v_H,V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 197.76/197.74 ! [V_y,V_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_tsub__eq,axiom,
% 197.76/197.74 ! [V_x,V_y] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 197.76/197.74 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_zdiff__int__split,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2,V_P_2] :
% 197.76/197.74 ( hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 197.76/197.74 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 197.76/197.74 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 197.76/197.74 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.76/197.74 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of2,axiom,
% 197.76/197.74 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_nat__number__of__add__1,axiom,
% 197.76/197.74 ! [V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_nat__1__add__number__of,axiom,
% 197.76/197.74 ! [V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_nat__number__of__diff__1,axiom,
% 197.76/197.74 ! [V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_setsum__bounded,axiom,
% 197.76/197.74 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.74 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 197.76/197.74 & class_Rings_Osemiring__1(T_c) )
% 197.76/197.74 => ( ! [B_i] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nats__number__of,axiom,
% 197.76/197.74 ! [V_w_2,T_b] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 197.76/197.74 ! [V_y_2,V_x_2] :
% 197.76/197.74 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 197.76/197.74 <=> V_x_2 = V_y_2 ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_int__int__eq,axiom,
% 197.76/197.74 ! [V_n_2,V_m_2] :
% 197.76/197.74 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)
% 197.76/197.74 <=> V_m_2 = V_n_2 ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_succ__pred,axiom,
% 197.76/197.74 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 197.76/197.74
% 197.76/197.74 fof(fact_le__iff__pred__less,axiom,
% 197.76/197.74 ! [V_l_2,V_k_2] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 197.76/197.74 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_pred__def,axiom,
% 197.76/197.74 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_succ__def,axiom,
% 197.76/197.74 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nats__0,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nats__add,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nats__mult,axiom,
% 197.76/197.74 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 197.76/197.74 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Nats__1,axiom,
% 197.76/197.74 ! [T_b] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_of__nat__in__Nats,axiom,
% 197.76/197.74 ! [V_n_2,T_b] :
% 197.76/197.74 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.74 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_number__of__succ,axiom,
% 197.76/197.74 ! [V_k,T_a] :
% 197.76/197.74 ( class_Int_Onumber__ring(T_a)
% 197.76/197.74 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Suc__diff__number__of,axiom,
% 197.76/197.74 ! [V_m,V_v] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 197.76/197.74 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_Suc__nat__number__of__add,axiom,
% 197.76/197.74 ! [V_n,V_v] :
% 197.76/197.74 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.74 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )
% 197.76/197.74 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.74 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ).
% 197.76/197.74
% 197.76/197.74 fof(fact_insert__partition,axiom,
% 197.76/197.74 ! [V_F_2,V_x_2,T_b] :
% 197.76/197.74 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 197.76/197.74 => ( ! [B_x] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 197.76/197.74 => ! [B_xa] :
% 197.76/197.74 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 197.76/197.74 => ( B_x != B_xa
% 197.76/197.74 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 197.76/197.74 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Powp__mono,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_decr__mult__lemma,axiom,
% 197.76/197.75 ! [V_k_2,V_P_2,V_d_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.76/197.75 => ( ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_incr__mult__lemma,axiom,
% 197.76/197.75 ! [V_k_2,V_P_2,V_d_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.76/197.75 => ( ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.75 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Suc__nat__number__of,axiom,
% 197.76/197.75 ! [V_v] :
% 197.76/197.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zero__less__imp__eq__int,axiom,
% 197.76/197.75 ! [V_k] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.76/197.75 => ? [B_n] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 197.76/197.75 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__neg__0,axiom,
% 197.76/197.75 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__neg__int,axiom,
% 197.76/197.75 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__neg__1,axiom,
% 197.76/197.75 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__neg__eq__ge__0,axiom,
% 197.76/197.75 ! [V_x_2] :
% 197.76/197.75 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__def,axiom,
% 197.76/197.75 ! [V_Z_2] :
% 197.76/197.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__neg__number__of__Pls,axiom,
% 197.76/197.75 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__imp__number__of__eq__0,axiom,
% 197.76/197.75 ! [V_v] :
% 197.76/197.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__nat__number__of,axiom,
% 197.76/197.75 ! [V_v_H_2,V_v_2] :
% 197.76/197.75 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)
% 197.76/197.75 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 197.76/197.75 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 197.76/197.75 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__number__of__add__left,axiom,
% 197.76/197.75 ! [V_k,V_v_H,V_v] :
% 197.76/197.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_int__nat__number__of,axiom,
% 197.76/197.75 ! [V_v] :
% 197.76/197.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__number__of__pred__iff__0,axiom,
% 197.76/197.75 ! [V_v_2] :
% 197.76/197.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 197.76/197.75 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_of__nat__number__of__eq,axiom,
% 197.76/197.75 ! [V_v,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_decr__lemma,axiom,
% 197.76/197.75 ! [V_z,V_x,V_d] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_incr__lemma,axiom,
% 197.76/197.75 ! [V_x,V_z,V_d] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_card__partition,axiom,
% 197.76/197.75 ! [V_k_2,V_C_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 197.76/197.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 197.76/197.75 => ( ! [B_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 197.76/197.75 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 197.76/197.75 => ( ! [B_c1] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 197.76/197.75 => ! [B_c2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 197.76/197.75 => ( B_c1 != B_c2
% 197.76/197.75 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_inf__le__fold__inf,axiom,
% 197.76/197.75 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 197.76/197.75 ( class_Lattices_Osemilattice__inf(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.75 => ( ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_fold__sup__le__sup,axiom,
% 197.76/197.75 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 197.76/197.75 ( class_Lattices_Osemilattice__sup(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.75 => ( ! [B_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_UnionE,axiom,
% 197.76/197.75 ! [V_C_2,V_A_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 197.76/197.75 => ~ ! [B_X] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 197.76/197.75 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 197.76/197.75 ! [V_m,V_n] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__idempotent,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I51_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 197.76/197.75 <=> V_k_2 = V_l_2 ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__ge__self,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__le__D1,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__eq__0,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.75 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__zero,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__add__abs,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__mult,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__mult__self,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__minus__commute,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__one,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__of__nat,axiom,
% 197.76/197.75 ! [V_n,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__divide,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__int__eq,axiom,
% 197.76/197.75 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I34_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__eq__int__code_I16_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__int__code_I16_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I17_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I46_J,axiom,
% 197.76/197.75 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I39_J,axiom,
% 197.76/197.75 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__ge__zero,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__le__zero__iff,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.75 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__of__nonneg,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__of__pos,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zero__less__abs__iff,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 197.76/197.75 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__not__less__zero,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__triangle__ineq,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__mult__less,axiom,
% 197.76/197.75 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__triangle__ineq3,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__triangle__ineq2,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__triangle__ineq2__sym,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nonzero__abs__divide,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_bin__less__0__simps_I4_J,axiom,
% 197.76/197.75 ! [V_w_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__zmult__eq__1,axiom,
% 197.76/197.75 ! [V_n,V_m] :
% 197.76/197.75 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I22_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I12_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Bit1__def,axiom,
% 197.76/197.75 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__number__of__Bit1,axiom,
% 197.76/197.75 ! [V_w_2] :
% 197.76/197.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 197.76/197.75 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_succ__Pls,axiom,
% 197.76/197.75 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__eq__mult,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Oordered__ring__abs(T_a)
% 197.76/197.75 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 197.76/197.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.76/197.75 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__mult__pos,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__triangle__ineq4,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__diff__triangle__ineq,axiom,
% 197.76/197.75 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__div__pos,axiom,
% 197.76/197.75 ! [V_x,V_y,T_a] :
% 197.76/197.75 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.75 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_number__of__Bit1,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zabs__less__one__iff,axiom,
% 197.76/197.75 ! [V_z_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 197.76/197.75 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__numeral__1,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__numeral__1__right,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_semiring__norm_I110_J,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_numeral__1__eq__1,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I5_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I29_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_divide__numeral__1,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( ( class_Fields_Ofield(T_a)
% 197.76/197.75 & class_Int_Onumber__ring(T_a) )
% 197.76/197.75 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_divide__Numeral1,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( ( class_Fields_Ofield(T_a)
% 197.76/197.75 & class_Int_Onumber__ring(T_a) )
% 197.76/197.75 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_one__is__num__one,axiom,
% 197.76/197.75 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__numeral__1__eq__1,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Numeral1__eq1__nat,axiom,
% 197.76/197.75 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_numeral__1__eq__Suc__0,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_numeral__3__eq__3,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 197.76/197.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Suc3__eq__add__3,axiom,
% 197.76/197.75 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_le__special_I2_J,axiom,
% 197.76/197.75 ! [V_y_2,T_b] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_le__special_I4_J,axiom,
% 197.76/197.75 ! [V_x_2,T_b] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__special_I2_J,axiom,
% 197.76/197.75 ! [V_y_2,T_b] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__special_I4_J,axiom,
% 197.76/197.75 ! [V_x_2,T_b] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 & class_Rings_Olinordered__idom(T_b) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__special_I2_J,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__special_I3_J,axiom,
% 197.76/197.75 ! [V_v,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_one__code__numeral__code,axiom,
% 197.76/197.75 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__special_I2_J,axiom,
% 197.76/197.75 ! [V_v,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__special_I1_J,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__2__cases,axiom,
% 197.76/197.75 ! [V_n] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 197.76/197.75 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.75 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_half__gt__zero,axiom,
% 197.76/197.75 ! [V_r,T_a] :
% 197.76/197.75 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 197.76/197.75 & class_Int_Onumber__ring(T_a) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_half__gt__zero__iff,axiom,
% 197.76/197.75 ! [V_r_2,T_b] :
% 197.76/197.75 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 197.76/197.75 & class_Int_Onumber__ring(T_b) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_int__val__lemma,axiom,
% 197.76/197.75 ! [V_k_2,V_f_2,V_n_2] :
% 197.76/197.75 ( ! [B_i] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 197.76/197.75 => ? [B_i] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.75 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_negative__zle,axiom,
% 197.76/197.75 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_negative__zless,axiom,
% 197.76/197.75 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zminus__zminus,axiom,
% 197.76/197.75 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__Bit0,axiom,
% 197.76/197.75 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I48_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 197.76/197.75 <=> V_k_2 = V_l_2 ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__minus,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_equation__minus__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 197.76/197.75 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__equation__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 197.76/197.75 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__equal__iff__equal,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 197.76/197.75 <=> V_a_2 = V_b_2 ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_double__compl,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_uminus__apply,axiom,
% 197.76/197.75 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.75 ( class_Groups_Ouminus(T_b)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__eq__compl__iff,axiom,
% 197.76/197.75 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 197.76/197.75 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_code__numeral__zero__minus__one,axiom,
% 197.76/197.75 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_number__of__minus,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_arith__simps_I30_J,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__number__of__mult,axiom,
% 197.76/197.75 ! [V_z,V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__mono,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__le__compl__iff,axiom,
% 197.76/197.75 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_le__imp__neg__le,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__le__iff__le,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__le__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_le__minus__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__zero,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__0__equal__iff__equal,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 197.76/197.75 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_equal__neg__zero,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.75 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 197.76/197.75 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__equal__0__iff__equal,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.75 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__equal__zero,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.75 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 197.76/197.75 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__minus__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__less__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__less__iff__less,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__add__distrib,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oab__group__add(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__add,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__minus__cancel,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__add__cancel,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_square__eq__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Rings_Oidom(T_b)
% 197.76/197.75 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 197.76/197.75 <=> ( V_a_2 = V_b_2
% 197.76/197.75 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__mult__minus,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Oring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__mult__commute,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Oring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__mult__left,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Oring(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__mult__right,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Oring(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__diff__eq,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oab__group__add(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__eq__int__code_I13_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I31_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I14_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__int__code_I13_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zminus__0,axiom,
% 197.76/197.75 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Bit0__Pls,axiom,
% 197.76/197.75 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I38_J,axiom,
% 197.76/197.75 ! [V_l_2] :
% 197.76/197.75 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 197.76/197.75 <=> c_Int_OPls = V_l_2 ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I44_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 197.76/197.75 <=> V_k_2 = c_Int_OPls ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I49_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I50_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Bit0__def,axiom,
% 197.76/197.75 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__Bit0__Bit0,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__divide__left,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__divide__right,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__divide__divide,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__Bit0,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__minus__cancel,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__Pls,axiom,
% 197.76/197.75 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zminus__zadd__distrib,axiom,
% 197.76/197.75 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__numeral__code_I5_J,axiom,
% 197.76/197.75 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__bin__simps_I7_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult__zminus,axiom,
% 197.76/197.75 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__le__self__iff,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__le__0__iff__le,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_le__minus__self__iff,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__0__le__iff__le,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__less__nonneg,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__less__0__iff__less,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__0__less__iff__less,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__minus__self__iff,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_right__minus,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_b)
% 197.76/197.75 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 197.76/197.75 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_left__minus,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_ab__left__minus,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oab__group__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__unique,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__0,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__minus__eq__add,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_ab__diff__minus,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oab__group__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__def,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Ogroup__add(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Rings_Ocomm__ring__1(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Rings_Ocomm__ring__1(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_square__eq__1__iff,axiom,
% 197.76/197.75 ! [V_x_2,T_b] :
% 197.76/197.75 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 197.76/197.75 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.75 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.75 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__inf__bot,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_inf__compl__bot,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__eq,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__sup,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_compl__inf,axiom,
% 197.76/197.75 ! [V_y,V_x,T_a] :
% 197.76/197.75 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nonzero__minus__divide__right,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nonzero__minus__divide__divide,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Rings_Odivision__ring(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__le__D2,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__leI,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__le__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 197.76/197.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__ge__minus__self,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__less__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 197.76/197.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_bin__less__0__simps_I3_J,axiom,
% 197.76/197.75 ! [V_w_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I21_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I27_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__eq__int__code_I14_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I32_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I10_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I4_J,axiom,
% 197.76/197.75 ! [V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__int__code_I15_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I16_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__Bit1__Bit0,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__Bit0__Bit1,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zadd__zminus__inverse2,axiom,
% 197.76/197.75 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_negative__eq__positive,axiom,
% 197.76/197.75 ! [V_m_2,V_n_2] :
% 197.76/197.75 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 197.76/197.75 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.75 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__bin__simps_I3_J,axiom,
% 197.76/197.75 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__bin__simps_I9_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__bin__simps_I10_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__int__zless__negative,axiom,
% 197.76/197.75 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__int__def__symmetric,axiom,
% 197.76/197.75 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__int__def,axiom,
% 197.76/197.75 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Ints__minus,axiom,
% 197.76/197.75 ! [V_a_2,T_b] :
% 197.76/197.75 ( class_Rings_Oring__1(T_b)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w_2] :
% 197.76/197.75 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 197.76/197.75 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pred__Bit0,axiom,
% 197.76/197.75 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pred__Bit1,axiom,
% 197.76/197.75 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__Bit1,axiom,
% 197.76/197.75 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_succ__Bit1,axiom,
% 197.76/197.75 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_succ__Bit0,axiom,
% 197.76/197.75 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__of__nonpos,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__minus__le__zero,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__if,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oabs__if(T_a)
% 197.76/197.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__of__neg,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__eq__int__code_I15_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I33_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_less__int__code_I14_J,axiom,
% 197.76/197.75 ! [V_k2_2,V_k1_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_rel__simps_I15_J,axiom,
% 197.76/197.75 ! [V_l_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__number__of__eq,axiom,
% 197.76/197.75 ! [V_w,V_v,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__Bit1,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_int__zle__neg,axiom,
% 197.76/197.75 ! [V_m_2,V_n_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 197.76/197.75 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.75 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_negative__zle__0,axiom,
% 197.76/197.75 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_minus__numeral__code_I6_J,axiom,
% 197.76/197.75 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zabs__def,axiom,
% 197.76/197.75 ! [V_i] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__zminus__int,axiom,
% 197.76/197.75 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_diff__bin__simps_I8_J,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__Bit1__Bit1,axiom,
% 197.76/197.75 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zero__code__numeral__code,axiom,
% 197.76/197.75 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_double__number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_abs__number__of,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 & class_Rings_Olinordered__idom(T_a) )
% 197.76/197.75 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__number__of__diff2,axiom,
% 197.76/197.75 ! [V_w,V_c,V_v,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_number__of1,axiom,
% 197.76/197.75 ! [V_n] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_number__of__pred,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__zle__0__negative,axiom,
% 197.76/197.75 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_negative__zless__0,axiom,
% 197.76/197.75 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__2__right,axiom,
% 197.76/197.75 ! [V_z,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__2,axiom,
% 197.76/197.75 ! [V_z,T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_one__add__one__is__two,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_numeral__2__eq__2,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_semiring__norm_I115_J,axiom,
% 197.76/197.75 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 197.76/197.75 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__2__eq__Suc,axiom,
% 197.76/197.75 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_add__2__eq__Suc_H,axiom,
% 197.76/197.75 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__mult__2__right,axiom,
% 197.76/197.75 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__mult__2,axiom,
% 197.76/197.75 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 197.76/197.75 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__1__add__1,axiom,
% 197.76/197.75 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__special_I2_J,axiom,
% 197.76/197.75 ! [V_y_2,T_b] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__special_I4_J,axiom,
% 197.76/197.75 ! [V_x_2,T_b] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__zmod__mult__2,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__number__of__Bit1,axiom,
% 197.76/197.75 ! [V_v,V_w] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__zmod__mult__2,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__zdiv__mult__2,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_ComplI,axiom,
% 197.76/197.75 ! [V_A_2,V_c_2,T_b] :
% 197.76/197.75 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zadd1__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zdiv__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__div__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_DIVISION__BY__ZERO,axiom,
% 197.76/197.75 ! [V_a] :
% 197.76/197.75 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mod__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__div__equality2,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__div__equality,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mod__equality2,axiom,
% 197.76/197.75 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mod__equality,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zmod__equality2,axiom,
% 197.76/197.75 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zmod__equality,axiom,
% 197.76/197.75 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zmult1__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zdiv__equality,axiom,
% 197.76/197.75 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult__div__cancel,axiom,
% 197.76/197.75 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zdiv__equality_H,axiom,
% 197.76/197.75 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__0,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__by__0,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__self,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__cong,axiom,
% 197.76/197.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__simps_I1_J,axiom,
% 197.76/197.75 ! [V_b,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__simps_I2_J,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__left__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__right__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__self1,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__add__self2,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__right__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__left__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__mult1,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__mult2,axiom,
% 197.76/197.75 ! [V_b,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__simps_I4_J,axiom,
% 197.76/197.75 ! [V_b,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__cong,axiom,
% 197.76/197.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__diff__right__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__diff__left__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__diff__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__diff__cong,axiom,
% 197.76/197.75 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__minus__cong,axiom,
% 197.76/197.75 ! [V_a_H,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__minus__eq,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Oring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_ComplE,axiom,
% 197.76/197.75 ! [V_A_2,V_c_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 197.76/197.75 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_ComplD,axiom,
% 197.76/197.75 ! [V_A_2,V_c_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 197.76/197.75 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__iff,axiom,
% 197.76/197.75 ! [V_A_2,V_c_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 197.76/197.75 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zero,axiom,
% 197.76/197.75 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zero,axiom,
% 197.76/197.75 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__self,axiom,
% 197.76/197.75 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__anti__mono,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__subset__Compl__iff,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zminus__zminus,axiom,
% 197.76/197.75 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zminus2,axiom,
% 197.76/197.75 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__simps_I3_J,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zmult1__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiff__zmod__right,axiom,
% 197.76/197.75 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiff__zmod__left,axiom,
% 197.76/197.75 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zminus__zmod,axiom,
% 197.76/197.75 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus__zminus,axiom,
% 197.76/197.75 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus2,axiom,
% 197.76/197.75 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__by__0,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__0,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__by__1,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__self2__is__0,axiom,
% 197.76/197.75 ! [V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__self1__is__0,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zmult2__eq,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__self2,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__self1,axiom,
% 197.76/197.75 ! [V_b,V_c,V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__by__1,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zminus2__eq__if,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 197.76/197.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zminus1__eq__if,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 197.76/197.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_iszero__0,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.75 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_iszero__def,axiom,
% 197.76/197.75 ! [V_z_2,T_b] :
% 197.76/197.75 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.75 => ( c_Int_Oiszero(T_b,V_z_2)
% 197.76/197.75 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 197.76/197.75 ! [V_y,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__iszero__1,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.75 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__neg__pos__less0,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__self,axiom,
% 197.76/197.75 ! [V_a] :
% 197.76/197.75 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_subset__Compl__self__eq,axiom,
% 197.76/197.75 ! [V_A_2,T_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 197.76/197.75 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__le__nonneg__dividend,axiom,
% 197.76/197.75 ! [V_k,V_m] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 197.76/197.75 ! [V_y,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__mod__bound,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__mod__bound,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__disjoint2,axiom,
% 197.76/197.75 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__disjoint,axiom,
% 197.76/197.75 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__eq__0__iff,axiom,
% 197.76/197.75 ! [V_d_2,V_m_2] :
% 197.76/197.75 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__Int,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__Un,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus1__not__zero,axiom,
% 197.76/197.75 ! [V_l,V_k] :
% 197.76/197.75 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus2__not__zero,axiom,
% 197.76/197.75 ! [V_l,V_k] :
% 197.76/197.75 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__Diff__eq,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Diff__eq,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Diff__Compl,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__mult1__if,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.76/197.75 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__self2__is__id,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__self1__is__id,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__mult2,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__mult1,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__self,axiom,
% 197.76/197.75 ! [V_a,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_split__neg__lemma,axiom,
% 197.76/197.75 ! [V_n_2,V_P_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 197.76/197.75 <=> ! [B_i,B_j] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_split__pos__lemma,axiom,
% 197.76/197.75 ! [V_n_2,V_P_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 197.76/197.75 <=> ! [B_i,B_j] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__mono1__neg,axiom,
% 197.76/197.75 ! [V_b,V_a_H,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__mono1,axiom,
% 197.76/197.75 ! [V_b,V_a_H,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__neg__neg__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__mono2__neg,axiom,
% 197.76/197.75 ! [V_b,V_b_H,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__nonpos__pos__le0,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__pos__pos__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__nonneg__neg__le0,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__mono2,axiom,
% 197.76/197.75 ! [V_b,V_b_H,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 197.76/197.75 ! [V_b_2,V_a_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.75 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 197.76/197.75 ! [V_i_2,V_k_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 197.76/197.75 ! [V_a_2,V_b_2] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__eq__0__iff,axiom,
% 197.76/197.75 ! [V_k_2,V_i_2] :
% 197.76/197.75 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 197.76/197.75 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_int__div__less__self,axiom,
% 197.76/197.75 ! [V_k,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__zmult2__eq,axiom,
% 197.76/197.75 ! [V_b,V_a,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__neg__neg__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__mod__conj,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__mod__sign,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__pos__pos__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__mod__conj,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_pos__mod__sign,axiom,
% 197.76/197.75 ! [V_a,V_b] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_disjoint__eq__subset__Compl,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.75 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.75 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus2__eq__if,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__zminus1__eq__if,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.75 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__self2,axiom,
% 197.76/197.75 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult__self1,axiom,
% 197.76/197.75 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__add__self1,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__add__self2,axiom,
% 197.76/197.75 ! [V_a,V_b,T_a] :
% 197.76/197.75 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.75 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_iszero__Numeral0,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_iszero__number__of__Bit1,axiom,
% 197.76/197.75 ! [V_w,T_a] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 & class_Int_Oring__char__0(T_a) )
% 197.76/197.75 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_iszero__number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w_2,T_b] :
% 197.76/197.75 ( ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 & class_Int_Oring__char__0(T_b) )
% 197.76/197.75 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__pos__neg__trivial,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_divmod__int__rel__div__eq,axiom,
% 197.76/197.75 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 197.76/197.75 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 197.76/197.75 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 197.76/197.75 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_split__zdiv,axiom,
% 197.76/197.75 ! [V_k_2,V_n_2,V_P_2] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 197.76/197.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ! [B_i] :
% 197.76/197.75 ( ? [B_j] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 197.76/197.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ! [B_i] :
% 197.76/197.75 ( ? [B_j] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_divmod__int__rel__mod__eq,axiom,
% 197.76/197.75 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 197.76/197.75 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y)
% 197.76/197.75 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 197.76/197.75 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult2__lemma__aux2,axiom,
% 197.76/197.75 ! [V_q,V_r,V_b,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult2__lemma__aux1,axiom,
% 197.76/197.75 ! [V_q,V_r,V_b,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult2__lemma__aux4,axiom,
% 197.76/197.75 ! [V_q,V_b,V_r,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmult2__lemma__aux3,axiom,
% 197.76/197.75 ! [V_q,V_b,V_r,V_c] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_split__zmod,axiom,
% 197.76/197.75 ! [V_k_2,V_n_2,V_P_2] :
% 197.76/197.75 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 197.76/197.75 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.75 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 197.76/197.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 197.76/197.75 => ! [B_i,B_j] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 197.76/197.75 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => ! [B_i,B_j] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 197.76/197.75 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 & V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),B_i)),B_j) )
% 197.76/197.75 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zmod__number__of__Bit0,axiom,
% 197.76/197.75 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_not__iszero__Numeral1,axiom,
% 197.76/197.75 ! [T_a] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_a)
% 197.76/197.75 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__number__of__eq,axiom,
% 197.76/197.75 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zdiv__number__of__Bit1,axiom,
% 197.76/197.75 ! [V_v,V_w] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__special_I3_J,axiom,
% 197.76/197.75 ! [V_x_2,T_b] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_eq__special_I1_J,axiom,
% 197.76/197.75 ! [V_y_2,T_b] :
% 197.76/197.75 ( class_Int_Onumber__ring(T_b)
% 197.76/197.75 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 197.76/197.75 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_neg__zdiv__mult__2,axiom,
% 197.76/197.75 ! [V_b,V_a] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__of__aux__code,axiom,
% 197.76/197.75 ! [V_n,V_i] :
% 197.76/197.75 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.75 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 197.76/197.75 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.75 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_z3div__def,axiom,
% 197.76/197.75 ! [V_k,V_l] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.75 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.75 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_z3mod__def,axiom,
% 197.76/197.75 ! [V_k,V_l] :
% 197.76/197.75 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.75 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.75 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_of__nat__double,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_power__minus1__odd,axiom,
% 197.76/197.75 ! [V_n,T_a] :
% 197.76/197.75 ( class_Rings_Oring__1(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_odd__power__less__zero,axiom,
% 197.76/197.75 ! [V_n,V_a,T_a] :
% 197.76/197.75 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_double__complement,axiom,
% 197.76/197.75 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Compl__eq__Compl__iff,axiom,
% 197.76/197.75 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.75 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 197.76/197.75 <=> V_A_2 = V_B_2 ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 197.76/197.75 ! [V_n,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__power__eq,axiom,
% 197.76/197.75 ! [V_n,V_z] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.75 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__add1__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult2__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult1__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mod__equality_H,axiom,
% 197.76/197.75 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mult__div__cancel,axiom,
% 197.76/197.75 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Divides_Omod__div__equality_H,axiom,
% 197.76/197.75 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 197.76/197.75 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_int__power,axiom,
% 197.76/197.75 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zpower__int,axiom,
% 197.76/197.75 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 197.76/197.75 ! [V_q,V_y,V_x,T_a] :
% 197.76/197.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__le__mono,axiom,
% 197.76/197.75 ! [V_k,V_n,V_m] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.76/197.75 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__le__dividend,axiom,
% 197.76/197.75 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 197.76/197.75 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_div__mult2__eq,axiom,
% 197.76/197.75 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__less,axiom,
% 197.76/197.75 ! [V_n,V_m] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__less__eq__dividend,axiom,
% 197.76/197.75 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__distrib2,axiom,
% 197.76/197.75 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_mod__mult__distrib,axiom,
% 197.76/197.75 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__int,axiom,
% 197.76/197.75 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 197.76/197.75
% 197.76/197.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 197.76/197.75 ! [V_q,V_p,V_x,T_a] :
% 197.76/197.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zpower__zpower,axiom,
% 197.76/197.75 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 197.76/197.75 ! [V_x,T_a] :
% 197.76/197.75 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_zpower__zmod,axiom,
% 197.76/197.75 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_power__nat__number__of__number__of,axiom,
% 197.76/197.75 ! [V_w,V_v] :
% 197.76/197.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_power__nat__number__of,axiom,
% 197.76/197.75 ! [V_n,V_v] :
% 197.76/197.75 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 197.76/197.75 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.75 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 197.76/197.75 ! [V_y,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.75 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_nat__div__distrib,axiom,
% 197.76/197.75 ! [V_y,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 197.76/197.75
% 197.76/197.75 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 197.76/197.75 ! [V_y,V_x] :
% 197.76/197.75 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.75 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.75 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 197.76/197.75
% 197.76/197.76 fof(fact_nat__mod__distrib,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.76 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__1,axiom,
% 197.76/197.76 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__less,axiom,
% 197.76/197.76 ! [V_n,V_m] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mult__div__cancel__disj,axiom,
% 197.76/197.76 ! [V_n,V_m,V_k] :
% 197.76/197.76 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.76 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 197.76/197.76 ! [V_q,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 197.76/197.76 ! [V_q,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 197.76/197.76 ! [V_q,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__0,axiom,
% 197.76/197.76 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 197.76/197.76 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__Suc,axiom,
% 197.76/197.76 ! [V_n,V_m] :
% 197.76/197.76 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.76 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__1,axiom,
% 197.76/197.76 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__less__divisor,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 197.76/197.76 ! [V_q,V_p,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_eq__nat__nat__iff,axiom,
% 197.76/197.76 ! [V_z_H_2,V_z_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 197.76/197.76 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 197.76/197.76 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.76/197.76 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 197.76/197.76 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_all__nat,axiom,
% 197.76/197.76 ! [V_P_2] :
% 197.76/197.76 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.76 <=> ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.76 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_ex__nat,axiom,
% 197.76/197.76 ! [V_P_2] :
% 197.76/197.76 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.76 <=> ? [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.76 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__eq__0__iff,axiom,
% 197.76/197.76 ! [V_d_2,V_m_2] :
% 197.76/197.76 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 197.76/197.76 ! [V_n,V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__if,axiom,
% 197.76/197.76 ! [V_n,V_m] :
% 197.76/197.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__geq,axiom,
% 197.76/197.76 ! [V_n,V_m] :
% 197.76/197.76 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__mult__self3,axiom,
% 197.76/197.76 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_le__mod__geq,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zdiv__int,axiom,
% 197.76/197.76 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 197.76/197.76 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__number__of,axiom,
% 197.76/197.76 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__number__of__def,axiom,
% 197.76/197.76 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zpower__zadd__distrib,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 197.76/197.76 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zmod__int,axiom,
% 197.76/197.76 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 197.76/197.76 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_neg__nat,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 197.76/197.76 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_not__neg__nat,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Ints__power,axiom,
% 197.76/197.76 ! [V_n_2,V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Oring__1(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__nat__number__of,axiom,
% 197.76/197.76 ! [V_v_H,V_v] :
% 197.76/197.76 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__nat__number__of,axiom,
% 197.76/197.76 ! [V_v_H,V_v] :
% 197.76/197.76 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.76 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__div__nat__number__of,axiom,
% 197.76/197.76 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__le__mono2,axiom,
% 197.76/197.76 ! [V_k,V_n,V_m] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__mult__self__is__m,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__mult__self1__is__m,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mult__div__cancel1,axiom,
% 197.76/197.76 ! [V_n,V_m,V_k] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__less__dividend,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__le__0,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__0__iff,axiom,
% 197.76/197.76 ! [V_i_2] :
% 197.76/197.76 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zless__nat__conj,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mono__iff,axiom,
% 197.76/197.76 ! [V_w_2,V_z_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__le__divisor,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__1,axiom,
% 197.76/197.76 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__mult__self4,axiom,
% 197.76/197.76 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__0__le,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__eq__iff,axiom,
% 197.76/197.76 ! [V_z_2,V_m_2] :
% 197.76/197.76 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 197.76/197.76 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__nat__eq,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zless__nat__eq__int__zless,axiom,
% 197.76/197.76 ! [V_z_2,V_m_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__zminus__int,axiom,
% 197.76/197.76 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__le__zpower__abs,axiom,
% 197.76/197.76 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__abs__mult__distrib,axiom,
% 197.76/197.76 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__mod__nat__number__of,axiom,
% 197.76/197.76 ! [V_v_H] :
% 197.76/197.76 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__geq,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__if,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_split__div,axiom,
% 197.76/197.76 ! [V_k_2,V_n_2,V_P_2] :
% 197.76/197.76 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 197.76/197.76 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.76/197.76 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => ! [B_i,B_j] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 197.76/197.76 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 197.76/197.76 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__less__nat__eq,axiom,
% 197.76/197.76 ! [V_z_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__less__eq__zless,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__eq__iff2,axiom,
% 197.76/197.76 ! [V_w_2,V_m_2] :
% 197.76/197.76 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 197.76/197.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__eq__iff,axiom,
% 197.76/197.76 ! [V_m_2,V_w_2] :
% 197.76/197.76 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 197.76/197.76 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__le__eq__zle,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2] :
% 197.76/197.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_split__nat,axiom,
% 197.76/197.76 ! [V_i_2,V_P_2] :
% 197.76/197.76 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 197.76/197.76 <=> ( ! [B_n] :
% 197.76/197.76 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 197.76/197.76 => hBOOL(hAPP(V_P_2,B_n)) )
% 197.76/197.76 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__lemma,axiom,
% 197.76/197.76 ! [V_q,V_b,V_r,V_c] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_split__mod,axiom,
% 197.76/197.76 ! [V_k_2,V_n_2,V_P_2] :
% 197.76/197.76 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 197.76/197.76 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 197.76/197.76 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => ! [B_i,B_j] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 197.76/197.76 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 197.76/197.76 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__add__distrib,axiom,
% 197.76/197.76 ! [V_z_H,V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 197.76/197.76 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.76 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power3__eq__cube,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__eq__iff__number__of,axiom,
% 197.76/197.76 ! [V_v_2,V_m_2] :
% 197.76/197.76 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 197.76/197.76 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mult__distrib,axiom,
% 197.76/197.76 ! [V_z_H,V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__diff__distrib,axiom,
% 197.76/197.76 ! [V_z,V_z_H] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 197.76/197.76 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__times__mod__eq,axiom,
% 197.76/197.76 ! [V_m,V_k] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 197.76/197.76 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__eq__if,axiom,
% 197.76/197.76 ! [V_p,V_m] :
% 197.76/197.76 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 197.76/197.76 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__less__zpower__abs__iff,axiom,
% 197.76/197.76 ! [V_n_2,V_x_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x_2)),V_n_2)))
% 197.76/197.76 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.76 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 197.76/197.76 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_le__div__geq,axiom,
% 197.76/197.76 ! [V_m,V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_split__div__lemma,axiom,
% 197.76/197.76 ! [V_m_2,V_q_2,V_n_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 197.76/197.76 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_split__div_H,axiom,
% 197.76/197.76 ! [V_n_2,V_m_2,V_P_2] :
% 197.76/197.76 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 197.76/197.76 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 197.76/197.76 | ? [B_q] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q))))
% 197.76/197.76 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__Suc__eq__div__add3,axiom,
% 197.76/197.76 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__div__eq__add3__div,axiom,
% 197.76/197.76 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 197.76/197.76 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div2__Suc__Suc,axiom,
% 197.76/197.76 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_add__self__div__2,axiom,
% 197.76/197.76 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__less__nat__eq,axiom,
% 197.76/197.76 ! [V_z_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__less__iff,axiom,
% 197.76/197.76 ! [V_m_2,V_w_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 197.76/197.76 ! [V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 197.76/197.76 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 197.76/197.76 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 197.76/197.76 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__eq__power2,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__power2,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__eq__square,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod2__Suc__Suc,axiom,
% 197.76/197.76 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__power2,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 197.76/197.76 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__minus,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mult__distrib__neg,axiom,
% 197.76/197.76 ! [V_z_H,V_z] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__even__eq,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_abs__power2,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__abs,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__eq__imp__eq,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.76 => V_x = V_y ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__le__imp__le,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__le__power2,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__less__power2,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 197.76/197.76 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__less__0,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sum__power2__eq__zero__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__2,axiom,
% 197.76/197.76 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__eq__square__number__of,axiom,
% 197.76/197.76 ! [V_w,T_b] :
% 197.76/197.76 ( ( class_Groups_Omonoid__mult(T_b)
% 197.76/197.76 & class_Int_Onumber(T_b) )
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__eq__1__iff,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.76 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.76 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 197.76/197.76 ! [V_n,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__minus__even,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__2__gt__zero,axiom,
% 197.76/197.76 ! [V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__less__imp__less,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sum__power2__ge__zero,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sum__power2__le__zero__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.76 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_not__sum__power2__lt__zero,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sum__power2__gt__zero__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 197.76/197.76 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__sum,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__le__even__power_H,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__odd__eq,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 197.76/197.76 ! [V_n,V_x,T_a] :
% 197.76/197.76 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod2__gr__0,axiom,
% 197.76/197.76 ! [V_m_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 197.76/197.76 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__minus1__even,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__power__div__base,axiom,
% 197.76/197.76 ! [V_k,V_m] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 197.76/197.76 ! [V_n] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power2__diff,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__of__code,axiom,
% 197.76/197.76 ! [V_k] :
% 197.76/197.76 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.76 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.76 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.76 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.76 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 197.76/197.76 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.76 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__strict__mono,axiom,
% 197.76/197.76 ! [V_n,V_b,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__diff,axiom,
% 197.76/197.76 ! [V_m,V_n,V_a,T_a] :
% 197.76/197.76 ( class_Fields_Ofield(T_a)
% 197.76/197.76 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__less__power,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__increasing__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__le__imp__le__exp,axiom,
% 197.76/197.76 ! [V_n,V_m,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_field__power__not__zero,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 197.76/197.76 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__Suc__0,axiom,
% 197.76/197.76 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 197.76/197.76 ! [V_m_2,V_x_2] :
% 197.76/197.76 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.76/197.76 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__power__less__imp__less,axiom,
% 197.76/197.76 ! [V_n,V_m,V_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__zero__less__power__iff,axiom,
% 197.76/197.76 ! [V_n_2,V_x_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 197.76/197.76 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__commutes,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__mult__distrib,axiom,
% 197.76/197.76 ! [V_n,V_b,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Ocomm__monoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__one,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__nat__power,axiom,
% 197.76/197.76 ! [V_n,V_m,T_a] :
% 197.76/197.76 ( class_Rings_Osemiring__1(T_a)
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__mult,axiom,
% 197.76/197.76 ! [V_n,V_m,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__divide,axiom,
% 197.76/197.76 ! [V_n,V_b,V_a,T_a] :
% 197.76/197.76 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__abs,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__one__right,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__mono,axiom,
% 197.76/197.76 ! [V_n,V_b,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__le__power,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__less__power,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__eq__0__iff,axiom,
% 197.76/197.76 ! [V_n_2,V_a_2,T_b] :
% 197.76/197.76 ( ( class_Power_Opower(T_b)
% 197.76/197.76 & class_Rings_Omult__zero(T_b)
% 197.76/197.76 & class_Rings_Ono__zero__divisors(T_b)
% 197.76/197.76 & class_Rings_Ozero__neq__one(T_b) )
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_one__le__power,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__0__Suc,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( ( class_Power_Opower(T_a)
% 197.76/197.76 & class_Rings_Osemiring__0(T_a) )
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__inject__exp,axiom,
% 197.76/197.76 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2)
% 197.76/197.76 <=> V_m_2 = V_n_2 ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__Suc2,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__Suc,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Power_Opower(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__one__le__power,axiom,
% 197.76/197.76 ! [V_n,V_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__0,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Power_Opower(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__add,axiom,
% 197.76/197.76 ! [V_n,V_m,V_a,T_a] :
% 197.76/197.76 ( class_Groups_Omonoid__mult(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nonzero__power__divide,axiom,
% 197.76/197.76 ! [V_n,V_a,V_b,T_a] :
% 197.76/197.76 ( class_Fields_Ofield(T_a)
% 197.76/197.76 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__one__over,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_abs__power__minus,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__less__imp__less__base,axiom,
% 197.76/197.76 ! [V_b,V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__le__imp__le__base,axiom,
% 197.76/197.76 ! [V_b,V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__inject__base,axiom,
% 197.76/197.76 ! [V_b,V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.76/197.76 => V_a = V_b ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__gt1__lemma,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__less__power__Suc,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__0__left,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( ( class_Power_Opower(T_a)
% 197.76/197.76 & class_Rings_Osemiring__0(T_a) )
% 197.76/197.76 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 197.76/197.76 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__gt1,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__strict__increasing,axiom,
% 197.76/197.76 ! [V_a,V_N,V_n,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__less__imp__less__exp,axiom,
% 197.76/197.76 ! [V_n,V_m,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__strict__increasing__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zero__le__power__abs,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__increasing,axiom,
% 197.76/197.76 ! [V_a,V_N,V_n,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__minus,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__Suc__less,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__eq__imp__eq__base,axiom,
% 197.76/197.76 ! [V_b,V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.76 => V_a = V_b ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__Suc__less__one,axiom,
% 197.76/197.76 ! [V_n,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__strict__decreasing,axiom,
% 197.76/197.76 ! [V_a,V_N,V_n,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__decreasing,axiom,
% 197.76/197.76 ! [V_a,V_N,V_n,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__aux__def,axiom,
% 197.76/197.76 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_transfer__morphism__nat__int,axiom,
% 197.76/197.76 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_card__Pow,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__power__power,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Power_Opower(T_b)
% 197.76/197.76 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__m1__odd,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_PowI,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I24_J,axiom,
% 197.76/197.76 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I7_J,axiom,
% 197.76/197.76 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I40_J,axiom,
% 197.76/197.76 c_Int_OMin != c_Int_OPls ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I37_J,axiom,
% 197.76/197.76 c_Int_OPls != c_Int_OMin ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Bit1__Min,axiom,
% 197.76/197.76 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I43_J,axiom,
% 197.76/197.76 ! [V_l_2] :
% 197.76/197.76 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 197.76/197.76 <=> c_Int_OMin = V_l_2 ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I47_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 197.76/197.76 <=> V_k_2 = c_Int_OMin ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I42_J,axiom,
% 197.76/197.76 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I45_J,axiom,
% 197.76/197.76 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__top,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Union__Pow__eq,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__not__empty,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_bin__less__0__simps_I2_J,axiom,
% 197.76/197.76 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I23_J,axiom,
% 197.76/197.76 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I20_J,axiom,
% 197.76/197.76 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I30_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I26_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I3_J,axiom,
% 197.76/197.76 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I6_J,axiom,
% 197.76/197.76 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I13_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I9_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I28_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I8_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_eq__number__of__Pls__Min,axiom,
% 197.76/197.76 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Int_OMin__def,axiom,
% 197.76/197.76 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mult__Min,axiom,
% 197.76/197.76 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_neg__number__of__Min,axiom,
% 197.76/197.76 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_pred__Pls,axiom,
% 197.76/197.76 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 197.76/197.76
% 197.76/197.76 fof(fact_add__Min__right,axiom,
% 197.76/197.76 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_add__Min,axiom,
% 197.76/197.76 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_pred__Min,axiom,
% 197.76/197.76 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nonzero__number__of__Min,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_succ__Min,axiom,
% 197.76/197.76 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 197.76/197.76
% 197.76/197.76 fof(fact_diff__bin__simps_I2_J,axiom,
% 197.76/197.76 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__bottom,axiom,
% 197.76/197.76 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__iff,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_PowD,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__mono,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__Pow__iff,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 197.76/197.76 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mult__minus1__right,axiom,
% 197.76/197.76 ! [V_z,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mult__minus1,axiom,
% 197.76/197.76 ! [V_z,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_subset__Pow__Union,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_arith__simps_I31_J,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_number__of__Min,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_abs__minus__one,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 & class_Rings_Olinordered__idom(T_a) )
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_divide__minus1,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.76 & class_Int_Onumber__ring(T_a) )
% 197.76/197.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I11_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_rel__simps_I25_J,axiom,
% 197.76/197.76 ! [V_k_2] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zmod__minus1__right,axiom,
% 197.76/197.76 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_diff__bin__simps_I4_J,axiom,
% 197.76/197.76 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_minus__Min,axiom,
% 197.76/197.76 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zmult__eq__1__iff,axiom,
% 197.76/197.76 ! [V_n_2,V_m_2] :
% 197.76/197.76 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.76 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.76 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 197.76/197.76 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 197.76/197.76 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 197.76/197.76 ! [V_n,V_m] :
% 197.76/197.76 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.76 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 197.76/197.76 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_diff__bin__simps_I5_J,axiom,
% 197.76/197.76 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_diff__bin__simps_I6_J,axiom,
% 197.76/197.76 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power_Opower_Opower__0,axiom,
% 197.76/197.76 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power_Opower_Opower__Suc,axiom,
% 197.76/197.76 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_a_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zdiv__minus1__right,axiom,
% 197.76/197.76 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__Int__eq,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_minus1__divide,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 197.76/197.76 & class_Int_Onumber__ring(T_a) )
% 197.76/197.76 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_abs__power__minus__one,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 & class_Rings_Olinordered__idom(T_a) )
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__eq__minus1,axiom,
% 197.76/197.76 ! [V_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__empty,axiom,
% 197.76/197.76 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Un__Pow__subset,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_div__pos__neg__trivial,axiom,
% 197.76/197.76 ! [V_b,V_a] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zmod__minus1,axiom,
% 197.76/197.76 ! [V_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.76 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_power__m1__even,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osize_I1_J,axiom,
% 197.76/197.76 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__of__nat,axiom,
% 197.76/197.76 ! [V_k,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 197.76/197.76 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_negD,axiom,
% 197.76/197.76 ! [V_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.76 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osize_I3_J,axiom,
% 197.76/197.76 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__eq__iff,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2,T_b] :
% 197.76/197.76 ( class_Int_Oring__char__0(T_b)
% 197.76/197.76 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 197.76/197.76 <=> V_w_2 = V_z_2 ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_number__of__eq,axiom,
% 197.76/197.76 ! [V_k,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_int__number__of__def,axiom,
% 197.76/197.76 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__int__eq,axiom,
% 197.76/197.76 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__0,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__0__eq__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Int_Oring__char__0(T_b)
% 197.76/197.76 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 197.76/197.76 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__eq__0__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Int_Oring__char__0(T_b)
% 197.76/197.76 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__le__iff,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__less__iff,axiom,
% 197.76/197.76 ! [V_z_2,V_w_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__add,axiom,
% 197.76/197.76 ! [V_z,V_w,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__number__of__eq,axiom,
% 197.76/197.76 ! [V_v,T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__mult,axiom,
% 197.76/197.76 ! [V_z,V_w,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__1,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__diff,axiom,
% 197.76/197.76 ! [V_z,V_w,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__of__nat__eq,axiom,
% 197.76/197.76 ! [V_n,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__minus,axiom,
% 197.76/197.76 ! [V_z,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Ints__of__int,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Rings_Oring__1(T_b)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__power,axiom,
% 197.76/197.76 ! [V_n,V_z,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__m1,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Int_Onumber__ring(T_a)
% 197.76/197.76 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__le__0__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__0__le__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__0__less__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__int__less__0__iff,axiom,
% 197.76/197.76 ! [V_z_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_of__nat__nat,axiom,
% 197.76/197.76 ! [V_z,T_a] :
% 197.76/197.76 ( class_Rings_Oring__1(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 197.76/197.76 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 197.76/197.76 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osize_I4_J,axiom,
% 197.76/197.76 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osize_I2_J,axiom,
% 197.76/197.76 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__if,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Groups_Osgn__if(T_a)
% 197.76/197.76 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 197.76/197.76 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__1__neg,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__sgn,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Oinject,axiom,
% 197.76/197.76 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 197.76/197.76 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 197.76/197.76 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn0,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Groups_Osgn__if(T_a)
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__0__0,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.76 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__times,axiom,
% 197.76/197.76 ! [V_b,V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 197.76/197.76 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 197.76/197.76 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__less,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__greater,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mult__sgn__abs,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_abs__sgn,axiom,
% 197.76/197.76 ! [V_k,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Suc__code__numeral__minus__one,axiom,
% 197.76/197.76 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__1__pos,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_b)
% 197.76/197.76 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__pos,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__gcd_Osimps,axiom,
% 197.76/197.76 ! [V_x,V_y] :
% 197.76/197.76 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 197.76/197.76 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.76 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_zsgn__def,axiom,
% 197.76/197.76 ! [V_i] :
% 197.76/197.76 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.76 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sgn__neg,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Rings_Olinordered__idom(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 197.76/197.76 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 197.76/197.76 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 197.76/197.76 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_compl__unique,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.76 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 197.76/197.76 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 197.76/197.76 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat0__intermed__int__val,axiom,
% 197.76/197.76 ! [V_k_2,V_f_2,V_n_2] :
% 197.76/197.76 ( ! [B_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 197.76/197.76 => ? [B_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.76 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 197.76/197.76 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_UNIV__I,axiom,
% 197.76/197.76 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Un__UNIV__left,axiom,
% 197.76/197.76 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Un__UNIV__right,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Int__UNIV__left,axiom,
% 197.76/197.76 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Int__UNIV__right,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Pow__UNIV,axiom,
% 197.76/197.76 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__fun__UNIVD2,axiom,
% 197.76/197.76 ! [T_c,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 197.76/197.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__option__UNIV,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 197.76/197.76 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__Prod__UNIV,axiom,
% 197.76/197.76 ! [T_c,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 197.76/197.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_top__apply,axiom,
% 197.76/197.76 ! [V_x_2,T_c,T_b] :
% 197.76/197.76 ( class_Orderings_Otop(T_b)
% 197.76/197.76 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_UNIV__Plus__UNIV,axiom,
% 197.76/197.76 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Union__UNIV,axiom,
% 197.76/197.76 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Sup__UNIV,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_subset__UNIV,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__UNIV,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Finite__Set_Ofinite(T_b)
% 197.76/197.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_UNIV__not__empty,axiom,
% 197.76/197.76 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_card__UNIV__unit,axiom,
% 197.76/197.76 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__Plus__UNIV__iff,axiom,
% 197.76/197.76 ! [T_c,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 197.76/197.76 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.76 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 197.76/197.76 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 197.76/197.76 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 197.76/197.76 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_top__greatest,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Otop(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sup__top__left,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sup__top__right,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inf__eq__top__iff,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Lattices_Obounded__lattice__top(T_b)
% 197.76/197.76 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 197.76/197.76 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 197.76/197.76 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inf__top__right,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inf__top__left,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Obounded__lattice__top(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 197.76/197.76 ! [V_n,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Diff__UNIV,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 197.76/197.76 ! [V_y,V_x] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x)
% 197.76/197.76 => ( c_Nat__Transfer_Ois__nat(V_y)
% 197.76/197.76 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.76 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.76 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Compl__UNIV__eq,axiom,
% 197.76/197.76 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Compl__empty__eq,axiom,
% 197.76/197.76 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__compl,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 197.76/197.76 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Compl__partition,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Compl__partition2,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 197.76/197.76 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_is__nat__def,axiom,
% 197.76/197.76 ! [V_x_2] :
% 197.76/197.76 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.76/197.76 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_compl__top__eq,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.76 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_compl__bot__eq,axiom,
% 197.76/197.76 ! [T_a] :
% 197.76/197.76 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.76 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_compl__sup__top,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_sup__compl__top,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Lattices_Oboolean__algebra(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 197.76/197.76 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__UNIV__card__ge__0,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_card__UNIV__bool,axiom,
% 197.76/197.76 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 197.76/197.76 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__fun__UNIVD1,axiom,
% 197.76/197.76 ! [T_c,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 197.76/197.76 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.76/197.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__fold__inf,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__mod__eq__lemma,axiom,
% 197.76/197.76 ! [V_y,V_n,V_x] :
% 197.76/197.76 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 197.76/197.76 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__induct__0,axiom,
% 197.76/197.76 ! [V_i_2,V_P_2,V_p_2] :
% 197.76/197.76 ( ! [B_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 197.76/197.76 => ( hBOOL(hAPP(V_P_2,B_i))
% 197.76/197.76 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 197.76/197.76 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 197.76/197.76 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_nat__intermed__int__val,axiom,
% 197.76/197.76 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 197.76/197.76 ( ! [B_i] :
% 197.76/197.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 197.76/197.76 => ? [B_i] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.76 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_finite__Inter,axiom,
% 197.76/197.76 ! [V_M_2,T_b] :
% 197.76/197.76 ( ? [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 197.76/197.76 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 197.76/197.76 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_top1I,axiom,
% 197.76/197.76 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_InterD,axiom,
% 197.76/197.76 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_InterE,axiom,
% 197.76/197.76 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__UNIV,axiom,
% 197.76/197.76 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__empty,axiom,
% 197.76/197.76 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_le__Inf__iff,axiom,
% 197.76/197.76 ! [V_A_2,V_b_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 197.76/197.76 <=> ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__less__iff,axiom,
% 197.76/197.76 ! [V_a_2,V_S_2,T_b] :
% 197.76/197.76 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 & class_Orderings_Olinorder(T_b) )
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 197.76/197.76 <=> ? [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__UNIV,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__lower,axiom,
% 197.76/197.76 ! [V_A_2,V_B_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__anti__mono,axiom,
% 197.76/197.76 ! [V_A_2,V_B_2,T_b] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__insert,axiom,
% 197.76/197.76 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__lower,axiom,
% 197.76/197.76 ! [V_A_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__Un__distrib,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__singleton,axiom,
% 197.76/197.76 ! [V_a_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__empty,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__insert,axiom,
% 197.76/197.76 ! [V_A_2,V_a_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Int__eq__Inter,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__Un__subset,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__binary,axiom,
% 197.76/197.76 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inf__Inf__fold__inf,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inf__fin__Inf,axiom,
% 197.76/197.76 ! [V_A_2,T_b] :
% 197.76/197.76 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_iso__tuple__UNIV__I,axiom,
% 197.76/197.76 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_log_Osimps,axiom,
% 197.76/197.76 ! [V_i,V_b] :
% 197.76/197.76 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 197.76/197.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 197.76/197.76 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 197.76/197.76 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 197.76/197.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 197.76/197.76 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_mod__div__decomp,axiom,
% 197.76/197.76 ! [V_b,V_a,T_a] :
% 197.76/197.76 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.76 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_setprod__pos,axiom,
% 197.76/197.76 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_c)
% 197.76/197.76 => ( ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_setprod__nonneg,axiom,
% 197.76/197.76 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.76 ( class_Rings_Olinordered__semidom(T_c)
% 197.76/197.76 => ( ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_minus__shift__def,axiom,
% 197.76/197.76 ! [V_r,V_l,V_k] :
% 197.76/197.76 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 197.76/197.76 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 197.76/197.76 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inc__shift__def,axiom,
% 197.76/197.76 ! [V_k,V_v] :
% 197.76/197.76 ( ( V_v = V_k
% 197.76/197.76 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 197.76/197.76 & ( V_v != V_k
% 197.76/197.76 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Inter__subset,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( ! [B_X] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_InterI,axiom,
% 197.76/197.76 ! [V_A_2,V_C_2,T_b] :
% 197.76/197.76 ( ! [B_X] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_fold1__antimono,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__add__distrib__left,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.76 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oless__infI1,axiom,
% 197.76/197.76 ! [V_b,V_x,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oless__infI2,axiom,
% 197.76/197.76 ! [V_a,V_x,V_b,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__less__iff__conj,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__less__iff__disj,axiom,
% 197.76/197.76 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 197.76/197.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__le__iff__disj,axiom,
% 197.76/197.76 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 197.76/197.76 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__infE,axiom,
% 197.76/197.76 ! [V_b,V_a,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 197.76/197.76 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.76/197.76 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__mono,axiom,
% 197.76/197.76 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__greatest,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__infI,axiom,
% 197.76/197.76 ! [V_b,V_a,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__absorb2,axiom,
% 197.76/197.76 ! [V_x,V_y,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__absorb1,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__infI2,axiom,
% 197.76/197.76 ! [V_a,V_x,V_b,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__infI1,axiom,
% 197.76/197.76 ! [V_b,V_x,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__inf__iff,axiom,
% 197.76/197.76 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 197.76/197.76 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ole__iff__inf,axiom,
% 197.76/197.76 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.76/197.76 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__le2,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__le1,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__diff__distrib__left,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.76 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_inf__min,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( ( class_Lattices_Osemilattice__inf(T_b)
% 197.76/197.76 & class_Orderings_Olinorder(T_b) )
% 197.76/197.76 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__0L,axiom,
% 197.76/197.76 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__0R,axiom,
% 197.76/197.76 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__Suc__Suc,axiom,
% 197.76/197.76 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__diff,axiom,
% 197.76/197.76 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf_Oidem,axiom,
% 197.76/197.76 ! [V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf_Ocommute,axiom,
% 197.76/197.76 ! [V_b,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__commute,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 197.76/197.76 ! [V_b,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__left__idem,axiom,
% 197.76/197.76 ! [V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 197.76/197.76 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__left__commute,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf_Oassoc,axiom,
% 197.76/197.76 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Oinf__assoc,axiom,
% 197.76/197.76 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Min_Oidem,axiom,
% 197.76/197.76 ! [V_x,T_a] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_a)
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__number__of,axiom,
% 197.76/197.76 ! [V_v,V_u,T_b] :
% 197.76/197.76 ( ( class_Int_Onumber(T_b)
% 197.76/197.76 & class_Orderings_Oord(T_b) )
% 197.76/197.76 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 197.76/197.76 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 197.76/197.76 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ofold__inf__insert,axiom,
% 197.76/197.76 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 197.76/197.76 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Ofold1__belowI,axiom,
% 197.76/197.76 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_fold1__below__iff,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 197.76/197.76 <=> ? [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 197.76/197.76 <=> ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_fold1__strict__below__iff,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 197.76/197.76 <=> ? [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_strict__below__fold1__iff,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 197.76/197.76 <=> ! [B_x] :
% 197.76/197.76 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.76 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__ord__min,axiom,
% 197.76/197.76 ! [T_b] :
% 197.76/197.76 ( class_Orderings_Oord(T_b)
% 197.76/197.76 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Min_Oremove,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 197.76/197.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.76 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 197.76/197.76 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.76 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Min_Oeq__fold_H,axiom,
% 197.76/197.76 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.76 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.76
% 197.76/197.76 fof(fact_Min_Ounion__inter,axiom,
% 197.76/197.76 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.76 ( class_Orderings_Olinorder(T_b)
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.76 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.76 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf__nat__def,axiom,
% 197.76/197.77 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Osingleton,axiom,
% 197.76/197.77 ! [V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__le,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 197.76/197.77 ! [V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__in,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Oin__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_OF__eq,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__antimono,axiom,
% 197.76/197.77 ! [V_N_2,V_M_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 197.76/197.77 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__insert,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Osubset__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__Un,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.76/197.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Oinsert,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Oinsert__remove,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.76/197.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Ounion__disjoint,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min_Oclosed,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 197.76/197.77 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Min__eqI,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ! [B_y] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_field__le__epsilon,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Fields_Olinordered__field(T_a)
% 197.76/197.77 => ( ! [B_e] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osize_I14_J,axiom,
% 197.76/197.77 ! [V_com_2,V_fun_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osize_I6_J,axiom,
% 197.76/197.77 ! [V_com_2,V_fun_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Com_Ocom_Ocom__size(V_com_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_minus__code__numeral__code,axiom,
% 197.76/197.77 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_evaln_OWhileFalse,axiom,
% 197.76/197.77 ! [V_n_2,V_c_2,V_s_2,V_b_2] :
% 197.76/197.77 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 197.76/197.77 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_evaln_OWhileTrue,axiom,
% 197.76/197.77 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] :
% 197.76/197.77 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 197.76/197.77 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2)
% 197.76/197.77 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2)
% 197.76/197.77 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I5_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 197.76/197.77 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 197.76/197.77 <=> ( V_fun_2 = V_fun_H_2
% 197.76/197.77 & V_com_2 = V_com_H_2 ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_evaln_Oequations_I7_J,axiom,
% 197.76/197.77 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 197.76/197.77 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 197.76/197.77 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.77 => ? [B_s1] :
% 197.76/197.77 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 197.76/197.77 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_evaln_Oequations_I8_J,axiom,
% 197.76/197.77 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 197.76/197.77 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 197.76/197.77 <=> ( ( V_a6_2 = V_a2_2
% 197.76/197.77 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 197.76/197.77 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 197.76/197.77 & ? [B_s1] :
% 197.76/197.77 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 197.76/197.77 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I52_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I53_J,axiom,
% 197.76/197.77 ! [V_com2_2,V_com1_2,V_fun_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I46_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I47_J,axiom,
% 197.76/197.77 ! [V_com2_2,V_com1_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I38_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I39_J,axiom,
% 197.76/197.77 ! [V_com_2,V_fun_2,V_loc_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I16_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_com_Osimps_I17_J,axiom,
% 197.76/197.77 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 197.76/197.77
% 197.76/197.77 fof(fact_subtract__code__numeral__def,axiom,
% 197.76/197.77 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__box_Osize_I1_J,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 197.76/197.77 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 197.76/197.77 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat_Osize_I2_J,axiom,
% 197.76/197.77 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_diff__nat__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_v_H_2] :
% 197.76/197.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__abs,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__abs__ge__zero,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__addf,axiom,
% 197.76/197.77 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pred__subset__eq2,axiom,
% 197.76/197.77 ! [V_S_2,V_R_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pred__subset__eq,axiom,
% 197.76/197.77 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Powp__def,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 197.76/197.77 <=> ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 197.76/197.77 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_int__setprod,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__0,axiom,
% 197.76/197.77 ! [V_A_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__subtractf,axiom,
% 197.76/197.77 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fun__diff__def,axiom,
% 197.76/197.77 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ominus(T_b)
% 197.76/197.77 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__1,axiom,
% 197.76/197.77 ! [V_A_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__divide__distrib,axiom,
% 197.76/197.77 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Fields_Ofield(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_abs__setsum__abs,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.77 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_abs__setprod,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Fields_Olinordered__field(T_b)
% 197.76/197.77 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_bot__fun__def,axiom,
% 197.76/197.77 ! [V_x_2,T_c,T_b] :
% 197.76/197.77 ( class_Orderings_Obot(T_b)
% 197.76/197.77 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pred__equals__eq2,axiom,
% 197.76/197.77 ! [V_S_2,V_R_2,T_c,T_b] :
% 197.76/197.77 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 197.76/197.77 <=> V_R_2 = V_S_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pred__equals__eq,axiom,
% 197.76/197.77 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.77 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 197.76/197.77 <=> V_R_2 = V_S_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 197.76/197.77 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.77 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.77 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__box_Oinject,axiom,
% 197.76/197.77 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.77 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 197.76/197.77 <=> ( V_a_2 = V_a_H_2
% 197.76/197.77 & V_b_2 = V_b_H_2 ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__commute,axiom,
% 197.76/197.77 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 197.76/197.77 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.77 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.77 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup__Un__eq2,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_bot__empty__eq2,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_bot__empty__eq,axiom,
% 197.76/197.77 ! [V_x_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__timesf,axiom,
% 197.76/197.77 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup__fun__def,axiom,
% 197.76/197.77 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Lattices_Olattice(T_b)
% 197.76/197.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__product,axiom,
% 197.76/197.77 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__0(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__left__distrib,axiom,
% 197.76/197.77 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__0(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__right__distrib,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__0(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup__Un__eq,axiom,
% 197.76/197.77 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fold__image__def,axiom,
% 197.76/197.77 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_int__setsum,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__negf,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fun__Compl__def,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( class_Groups_Ouminus(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__int__setsum,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Rings_Oring__1(T_b)
% 197.76/197.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__int__setprod,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.76/197.77 & class_Rings_Oring__1(T_b) )
% 197.76/197.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum_Odistrib,axiom,
% 197.76/197.77 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf__Int__eq,axiom,
% 197.76/197.77 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf__fun__def,axiom,
% 197.76/197.77 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Lattices_Olattice(T_b)
% 197.76/197.77 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf__Int__eq2,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod_Odistrib,axiom,
% 197.76/197.77 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__eq__Suc__le__raw,axiom,
% 197.76/197.77 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__number__of__Bit0,axiom,
% 197.76/197.77 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__dividef,axiom,
% 197.76/197.77 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Fields_Ofield__inverse__zero(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat_Osize_I1_J,axiom,
% 197.76/197.77 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__nat__setsum,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.77 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_card__eq__setsum,axiom,
% 197.76/197.77 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__nat__setprod,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.76/197.77 & class_Rings_Osemiring__1(T_b) )
% 197.76/197.77 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 197.76/197.77 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__delta_H,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__delta,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__delta_H,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__delta,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__constant,axiom,
% 197.76/197.77 ! [V_A_2,V_y_2,T_c,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_power__number__of__even,axiom,
% 197.76/197.77 ! [V_w_2,V_z_2,T_b] :
% 197.76/197.77 ( class_Int_Onumber__ring(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fold__image__distrib,axiom,
% 197.76/197.77 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__constant,axiom,
% 197.76/197.77 ! [V_y_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zpower__number__of__even,axiom,
% 197.76/197.77 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Powp__Pow__eq,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__restrict__set,axiom,
% 197.76/197.77 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_power__number__of__even__number__of,axiom,
% 197.76/197.77 ! [V_w_2,V_v_2,T_b] :
% 197.76/197.77 ( class_Int_Onumber__ring(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_card_Oeq__fold__g,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_card__def,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fun__left__comm__idem__remove,axiom,
% 197.76/197.77 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_diff__nat__eq__if,axiom,
% 197.76/197.77 ! [V_z_2,V_z_H_2] :
% 197.76/197.77 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__div__mod,axiom,
% 197.76/197.77 ! [V_l,V_k] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.77 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__minus1,axiom,
% 197.76/197.77 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_LoopF,axiom,
% 197.76/197.77 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj)),V_P_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_adjust__eq,axiom,
% 197.76/197.77 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_minus__fold__remove,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Suc__eq__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_n_2] :
% 197.76/197.77 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_eq__number__of__Suc,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2] :
% 197.76/197.77 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__number__of__Bit1,axiom,
% 197.76/197.77 ! [V_w_2] :
% 197.76/197.77 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__Suc__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_n_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__number__of__Suc,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_le__Suc__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_n_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_le__number__of__Suc,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_power__number__of__odd,axiom,
% 197.76/197.77 ! [V_z_2,V_w_2,T_b] :
% 197.76/197.77 ( class_Int_Onumber__ring(T_b)
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setprod__gen__delta,axiom,
% 197.76/197.77 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zpower__number__of__odd,axiom,
% 197.76/197.77 ! [V_z_2,V_w_2] :
% 197.76/197.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg_Osimps,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 197.76/197.77 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__number__of__Suc,axiom,
% 197.76/197.77 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__Suc__number__of,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_power__number__of__odd__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_w_2,T_b] :
% 197.76/197.77 ( class_Int_Onumber__ring(T_b)
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 197.76/197.77 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__eqn,axiom,
% 197.76/197.77 ! [V_a,V_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__eqn__number__of,axiom,
% 197.76/197.77 ! [V_w,V_v] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 197.76/197.77 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 197.76/197.77 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_norm__frac_Osimps,axiom,
% 197.76/197.77 ! [V_a_2,V_b_2] :
% 197.76/197.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 197.76/197.77 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__case__add__eq__if,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg_Osimps,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 197.76/197.77 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup2CI,axiom,
% 197.76/197.77 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 197.76/197.77 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup2E,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 197.76/197.77 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf2E,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 197.76/197.77 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 197.76/197.77 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf2I,axiom,
% 197.76/197.77 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_bot2E,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf2D2,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_inf2D1,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup2I2,axiom,
% 197.76/197.77 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup2I1,axiom,
% 197.76/197.77 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_predicate2D,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_rev__predicate2D,axiom,
% 197.76/197.77 ! [V_Q_2,T_c,T_b,V_y_2,V_x_2,V_P_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_P_2),V_Q_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__by__empty,axiom,
% 197.76/197.77 ! [V_B_2,T_b,V_A_2] :
% 197.76/197.77 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__case__0,axiom,
% 197.76/197.77 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__case__Suc,axiom,
% 197.76/197.77 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__0,axiom,
% 197.76/197.77 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 197.76/197.77 ! [V_n_2,V_m_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 197.76/197.77 <=> hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool,c_fFalse,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_diff__Suc,axiom,
% 197.76/197.77 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_COMBI(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__Suc2,axiom,
% 197.76/197.77 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__Suc1,axiom,
% 197.76/197.77 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__div__mod,axiom,
% 197.76/197.77 ! [V_l,V_k] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 197.76/197.77 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__case__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__eqn__number__of,axiom,
% 197.76/197.77 ! [V_w,V_v] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.77 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 197.76/197.77 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__eqn,axiom,
% 197.76/197.77 ! [V_a,V_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.77 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 197.76/197.77 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_in__rel__def,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__mod__code__numeral__def,axiom,
% 197.76/197.77 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Nitpick_Orefl_H__def,axiom,
% 197.76/197.77 ! [V_r_2,T_b] :
% 197.76/197.77 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 197.76/197.77 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_adjust__def,axiom,
% 197.76/197.77 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__int__num,axiom,
% 197.76/197.77 ! [V_k_2,T_b] :
% 197.76/197.77 ( class_Rings_Oring__1(T_b)
% 197.76/197.77 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.76/197.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__step,axiom,
% 197.76/197.77 ! [V_m,V_n] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 197.76/197.77 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__rec__add__eq__if,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Int_Onat)),V_n_2))))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 197.76/197.77 ! [V_n_2,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.77 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_Groups_Oone__class_Oone(T_b)),V_n_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__rec__0,axiom,
% 197.76/197.77 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__rec__Suc,axiom,
% 197.76/197.77 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__zero,axiom,
% 197.76/197.77 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 197.76/197.77 ! [V_i_2,V_inc_2,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.77 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 197.76/197.77 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 197.76/197.77 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.77 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__base,axiom,
% 197.76/197.77 ! [V_n,V_m] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 197.76/197.77 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__div__mod,axiom,
% 197.76/197.77 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__mod__div,axiom,
% 197.76/197.77 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__rec__number__of,axiom,
% 197.76/197.77 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Nitpick_OFrac__def,axiom,
% 197.76/197.77 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__def,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 197.76/197.77 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__pdivmod,axiom,
% 197.76/197.77 ! [V_l_2,V_k_2] :
% 197.76/197.77 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 197.76/197.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 197.76/197.77 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 197.76/197.77 ! [V_a,V_r,V_q,V_c,V_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__unique,axiom,
% 197.76/197.77 ! [V_qr_H,V_qr,V_n,V_m] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 197.76/197.77 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 197.76/197.77 => V_qr = V_qr_H ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negateSnd__def,axiom,
% 197.76/197.77 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 197.76/197.77 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__eq,axiom,
% 197.76/197.77 ! [V_qr,V_n,V_m] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 197.76/197.77 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__eq,axiom,
% 197.76/197.77 ! [V_r,V_q,V_n,V_m] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__eq,axiom,
% 197.76/197.77 ! [V_r,V_q,V_n,V_m] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negateSnd__eq,axiom,
% 197.76/197.77 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel,axiom,
% 197.76/197.77 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 197.76/197.77 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 197.76/197.77 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pdivmod__def,axiom,
% 197.76/197.77 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pdivmod__posDivAlg,axiom,
% 197.76/197.77 ! [V_k,V_l] :
% 197.76/197.77 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 197.76/197.77 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__code,axiom,
% 197.76/197.77 ! [V_l_2,V_k_2] :
% 197.76/197.77 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 197.76/197.77 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 197.76/197.77 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 197.76/197.77 ! [V_c,V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod__caseI,axiom,
% 197.76/197.77 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_splitI,axiom,
% 197.76/197.77 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__box_Osize_I2_J,axiom,
% 197.76/197.77 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__box_Orecs,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__paired__All,axiom,
% 197.76/197.77 ! [T_c,T_b,V_P_2] :
% 197.76/197.77 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.77 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Pair__eq,axiom,
% 197.76/197.77 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.77 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 197.76/197.77 <=> ( V_a_2 = V_a_H_2
% 197.76/197.77 & V_b_2 = V_b_H_2 ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Pair__inject,axiom,
% 197.76/197.77 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 197.76/197.77 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 197.76/197.77 => ~ ( V_a = V_a_H
% 197.76/197.77 => V_b != V_b_H ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__weak__cong,axiom,
% 197.76/197.77 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 197.76/197.77 ( V_p_2 = V_q_2
% 197.76/197.77 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__conv,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod_Osimps_I2_J,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_splitD,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_apsnd__conv,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__eta,axiom,
% 197.76/197.77 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__twice,axiom,
% 197.76/197.77 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__box_Osimps_I2_J,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg_Opsimps,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.77 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) )
% 197.76/197.77 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_dual__max,axiom,
% 197.76/197.77 ! [T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zmult2__lemma,axiom,
% 197.76/197.77 ! [V_c,V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mem__splitI,axiom,
% 197.76/197.77 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_splitD_H,axiom,
% 197.76/197.77 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_accp_Osimps,axiom,
% 197.76/197.77 ! [V_a_2,V_r_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 197.76/197.77 <=> ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 197.76/197.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_accp_Oequations,axiom,
% 197.76/197.77 ! [V_a_2,V_r_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 197.76/197.77 <=> ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 197.76/197.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_accp__downward,axiom,
% 197.76/197.77 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 197.76/197.77 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_unique__remainder,axiom,
% 197.76/197.77 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 197.76/197.77 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => V_r = V_r_H ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_unique__quotient,axiom,
% 197.76/197.77 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 197.76/197.77 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => V_q = V_q_H ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_self__remainder,axiom,
% 197.76/197.77 ! [V_r,V_q,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__0,axiom,
% 197.76/197.77 ! [V_b] :
% 197.76/197.77 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_accp__subset,axiom,
% 197.76/197.77 ! [V_R2_2,V_R1_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__neg,axiom,
% 197.76/197.77 ! [V_qr,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__correct,axiom,
% 197.76/197.77 ! [V_a,V_b] :
% 197.76/197.77 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_self__quotient,axiom,
% 197.76/197.77 ! [V_r,V_q,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__mod,axiom,
% 197.76/197.77 ! [V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__div,axiom,
% 197.76/197.77 ! [V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg__correct,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__div__mod,axiom,
% 197.76/197.77 ! [V_a,V_b] :
% 197.76/197.77 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg__correct,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zadd1__lemma,axiom,
% 197.76/197.77 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 197.76/197.77 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 197.76/197.77 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zminus1__lemma,axiom,
% 197.76/197.77 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__if,axiom,
% 197.76/197.77 ! [V_m_2,V_n_2] :
% 197.76/197.77 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 197.76/197.77 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2) )
% 197.76/197.77 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 197.76/197.77 => c_Divides_Odivmod__nat(V_m_2,V_n_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_Nat_Onat),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat)),c_Nat_OSuc)),c_Divides_Odivmod__nat(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2),V_n_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__relI,axiom,
% 197.76/197.77 ! [V_r,V_q,V_b,V_a] :
% 197.76/197.77 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 197.76/197.77 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_zmult1__lemma,axiom,
% 197.76/197.77 ! [V_a,V_r,V_q,V_c,V_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 197.76/197.77 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__int__rel__def,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg_Opsimps,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.77 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 197.76/197.77 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_norm__frac_Opsimps,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 197.76/197.77 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 197.76/197.77 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 197.76/197.77 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_negDivAlg_Opinduct,axiom,
% 197.76/197.77 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 197.76/197.77 => ( ! [B_a,B_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 197.76/197.77 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 197.76/197.77 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.77 ( ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.77 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_posDivAlg_Opinduct,axiom,
% 197.76/197.77 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 197.76/197.77 => ( ! [B_a,B_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 197.76/197.77 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__gcd_Opsimps,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 197.76/197.77 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 197.76/197.77 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__pos__neg__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_in__measure,axiom,
% 197.76/197.77 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_snd__conv,axiom,
% 197.76/197.77 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 197.76/197.77
% 197.76/197.77 fof(fact_snd__eqD,axiom,
% 197.76/197.77 ! [V_a,V_y,V_x,T_a,T_b] :
% 197.76/197.77 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 197.76/197.77 => V_y = V_a ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_snd__apsnd,axiom,
% 197.76/197.77 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_apsnd__eq__conv,axiom,
% 197.76/197.77 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 197.76/197.77 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 197.76/197.77 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_snd__def,axiom,
% 197.76/197.77 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__int__def,axiom,
% 197.76/197.77 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__neg__pos,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__pos__pos,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__pos__pos__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__pos__neg,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__neg__neg,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 197.76/197.77 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.77 ( ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.77 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_norm__frac_Opinduct,axiom,
% 197.76/197.77 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 197.76/197.77 => ( ! [B_a,B_b] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__pos__neg__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__gcd_Opinduct,axiom,
% 197.76/197.77 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 197.76/197.77 => ( ! [B_x,B_y] :
% 197.76/197.77 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 197.76/197.77 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Pair__fst__snd__eq,axiom,
% 197.76/197.77 ! [T_c,T_b,V_t_2,V_s_2] :
% 197.76/197.77 ( V_s_2 = V_t_2
% 197.76/197.77 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 197.76/197.77 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod__eqI,axiom,
% 197.76/197.77 ! [V_q,V_p,T_b,T_a] :
% 197.76/197.77 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 197.76/197.77 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 197.76/197.77 => V_p = V_q ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fst__eqD,axiom,
% 197.76/197.77 ! [V_a,V_y,V_x,T_b,T_a] :
% 197.76/197.77 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 197.76/197.77 => V_x = V_a ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fst__conv,axiom,
% 197.76/197.77 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fst__apsnd,axiom,
% 197.76/197.77 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_fst__def,axiom,
% 197.76/197.77 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_pair__collapse,axiom,
% 197.76/197.77 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 197.76/197.77
% 197.76/197.77 fof(fact_surjective__pairing,axiom,
% 197.76/197.77 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod__case__beta,axiom,
% 197.76/197.77 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__int__def,axiom,
% 197.76/197.77 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mod__nat__def,axiom,
% 197.76/197.77 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__beta,axiom,
% 197.76/197.77 ! [V_z_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__comp__eq,axiom,
% 197.76/197.77 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_split__def,axiom,
% 197.76/197.77 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__neg__pos,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__pos__pos,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__pos__pos__1__number__of,axiom,
% 197.76/197.77 ! [V_w] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__pos__neg,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__neg__neg,axiom,
% 197.76/197.77 ! [V_b,V_a] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 197.76/197.77 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod__size__simp,axiom,
% 197.76/197.77 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_exI__realizer,axiom,
% 197.76/197.77 ! [T_b,T_c,V_x_2,V_y_2,V_P_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_conjI__realizer,axiom,
% 197.76/197.77 ! [T_c,T_b,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 197.76/197.77 ( hBOOL(hAPP(V_P_2,V_p_2))
% 197.76/197.77 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 197.76/197.77 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 197.76/197.77 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2)))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_arith__series__int,axiom,
% 197.76/197.77 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_finite__lessThan,axiom,
% 197.76/197.77 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__0,axiom,
% 197.76/197.77 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__eq__iff,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 197.76/197.77 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__Suc,axiom,
% 197.76/197.77 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_card__lessThan,axiom,
% 197.76/197.77 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__iff,axiom,
% 197.76/197.77 ! [V_k_2,V_i_2,T_b] :
% 197.76/197.77 ( class_Orderings_Oord(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__subset__iff,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__lessThan__Suc,axiom,
% 197.76/197.77 ! [V_n_2,V_f_2,T_b] :
% 197.76/197.77 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_lessThan__strict__subset__iff,axiom,
% 197.76/197.77 ! [V_n_2,V_m_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_n_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_div__nat__def,axiom,
% 197.76/197.77 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_single__Diff__lessThan,axiom,
% 197.76/197.77 ! [V_k_2,T_b] :
% 197.76/197.77 ( class_Orderings_Oorder(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_finite__nat__set__iff__bounded,axiom,
% 197.76/197.77 ! [V_N_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 197.76/197.77 <=> ? [B_m] :
% 197.76/197.77 ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 197.76/197.77 ! [V_N_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 197.76/197.77 <=> ? [B_m] :
% 197.76/197.77 ! [B_x] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_arith__series__general,axiom,
% 197.76/197.77 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 197.76/197.77 ( class_Rings_Ocomm__semiring__1(T_b)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_b)),c_Nat_Osemiring__1__class_Oof__nat(T_b))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_arith__series__nat,axiom,
% 197.76/197.77 ! [V_n_2,V_d_2,V_a_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Otimes__class_Otimes(tc_Nat_Onat)),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_d_2)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_divmod__nat__rel__def,axiom,
% 197.76/197.77 ! [V_qr_2,V_n_2,V_m_2] :
% 197.76/197.77 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 197.76/197.77 <=> ( V_m_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2))
% 197.76/197.77 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.77 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_range,axiom,
% 197.76/197.77 ! [V_s,V_k] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mlex__leq,axiom,
% 197.76/197.77 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_mlex__less,axiom,
% 197.76/197.77 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat_Osize_I4_J,axiom,
% 197.76/197.77 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_infinite__UNIV__nat,axiom,
% 197.76/197.77 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__size,axiom,
% 197.76/197.77 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat_Osize_I3_J,axiom,
% 197.76/197.77 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_prod_Orecs,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OatMost__iff,axiom,
% 197.76/197.77 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OatLeast__iff,axiom,
% 197.76/197.77 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OlessThan__iff,axiom,
% 197.76/197.77 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 197.76/197.77 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 197.76/197.77 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 197.76/197.77 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 197.76/197.77 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_ord_OgreaterThan__iff,axiom,
% 197.76/197.77 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 197.76/197.77 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_in__lex__prod,axiom,
% 197.76/197.77 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 197.76/197.77 | ( V_a_2 = V_a_H_2
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_in__finite__psubset,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.77 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__nonneg__0,axiom,
% 197.76/197.77 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 197.76/197.77 => ( ! [B_i] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 197.76/197.77 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 197.76/197.77 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_same__fstI,axiom,
% 197.76/197.77 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_P_2] :
% 197.76/197.77 ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_setsum__nonneg__leq__bound,axiom,
% 197.76/197.77 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add(T_c)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 197.76/197.77 => ( ! [B_i] :
% 197.76/197.77 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 197.76/197.77 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__Suc__number__of,axiom,
% 197.76/197.77 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__number__of__Suc,axiom,
% 197.76/197.77 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Oidem,axiom,
% 197.76/197.77 ! [V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__assoc,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup_Oassoc,axiom,
% 197.76/197.77 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__left__commute,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 197.76/197.77 ! [V_c,V_a,V_b,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__left__idem,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 197.76/197.77 ! [V_b,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__commute,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup_Ocommute,axiom,
% 197.76/197.77 ! [V_b,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup_Oidem,axiom,
% 197.76/197.77 ! [V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__Suc__Suc,axiom,
% 197.76/197.77 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__0R,axiom,
% 197.76/197.77 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__0L,axiom,
% 197.76/197.77 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__diff__distrib__left,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Groups_Oordered__ab__group__add(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__less__iff__conj,axiom,
% 197.76/197.77 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_less__max__iff__disj,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oless__supI2,axiom,
% 197.76/197.77 ! [V_a,V_b,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oless__supI1,axiom,
% 197.76/197.77 ! [V_b,V_a,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__add__distrib__left,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 197.76/197.77 ! [V_x,V_z,V_y,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 197.76/197.77 ! [V_x,V_z,V_y,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__inf__absorb,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 197.76/197.77 ! [T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_le__max__iff__disj,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 197.76/197.77 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__supE,axiom,
% 197.76/197.77 ! [V_x,V_b,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 197.76/197.77 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.76/197.77 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__mono,axiom,
% 197.76/197.77 ! [V_d,V_b,V_c,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__least,axiom,
% 197.76/197.77 ! [V_z,V_x,V_y,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__supI,axiom,
% 197.76/197.77 ! [V_b,V_x,V_a,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__absorb1,axiom,
% 197.76/197.77 ! [V_x,V_y,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__absorb2,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__supI2,axiom,
% 197.76/197.77 ! [V_a,V_b,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__supI1,axiom,
% 197.76/197.77 ! [V_b,V_a,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__sup__iff,axiom,
% 197.76/197.77 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 197.76/197.77 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 197.76/197.77 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ole__iff__sup,axiom,
% 197.76/197.77 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.76/197.77 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_le__maxI2,axiom,
% 197.76/197.77 ! [V_x,V_y,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_le__maxI1,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup__max,axiom,
% 197.76/197.77 ! [T_b] :
% 197.76/197.77 ( ( class_Lattices_Osemilattice__sup(T_b)
% 197.76/197.77 & class_Orderings_Olinorder(T_b) )
% 197.76/197.77 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sup__nat__def,axiom,
% 197.76/197.77 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__number__of,axiom,
% 197.76/197.77 ! [V_v,V_u,T_b] :
% 197.76/197.77 ( ( class_Int_Onumber(T_b)
% 197.76/197.77 & class_Orderings_Oord(T_b) )
% 197.76/197.77 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 197.76/197.77 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Odistrib__inf__le,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Odistrib__sup__le,axiom,
% 197.76/197.77 ! [V_z,V_y,V_x,T_a] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_a)
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_minus__max__eq__min,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.76/197.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_minus__min__eq__max,axiom,
% 197.76/197.77 ! [V_y,V_x,T_a] :
% 197.76/197.77 ( class_Groups_Olinordered__ab__group__add(T_a)
% 197.76/197.77 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_nat__minus__add__max,axiom,
% 197.76/197.77 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__Suc1,axiom,
% 197.76/197.77 ! [V_m_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),V_m_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__Suc2,axiom,
% 197.76/197.77 ! [V_n_2,V_m_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Nat_Onat_Onat__case(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),V_n_2)),V_m_2) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_max__ord__max,axiom,
% 197.76/197.77 ! [T_b] :
% 197.76/197.77 ( class_Orderings_Oord(T_b)
% 197.76/197.77 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Ofold__sup__insert,axiom,
% 197.76/197.77 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_dual__min,axiom,
% 197.76/197.77 ! [T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 197.76/197.77 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Oremove,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 197.76/197.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OInf__le__Sup,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 197.76/197.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_sum__diff__distrib,axiom,
% 197.76/197.77 ! [V_n_2,V_P_2,V_Q_2] :
% 197.76/197.77 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Q_2,B_x)),hAPP(V_P_2,B_x)))
% 197.76/197.77 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_P_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_Q_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_P_2)),V_Q_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Osingleton,axiom,
% 197.76/197.77 ! [V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max__ge,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 197.76/197.77 ! [V_x_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max__in,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Oin__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_OF__eq,axiom,
% 197.76/197.77 ! [V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max__mono,axiom,
% 197.76/197.77 ! [V_N_2,V_M_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 197.76/197.77 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.77 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max__insert,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Osubset__idem,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.77 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max__Un,axiom,
% 197.76/197.77 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.77 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 197.76/197.77 ! [V_a_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.77 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 197.76/197.77
% 197.76/197.77 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 197.76/197.77 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.77 ( class_Orderings_Olinorder(T_b)
% 197.76/197.77 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.77 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.76/197.77 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.77 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 197.76/197.78 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Oinsert,axiom,
% 197.76/197.78 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Oinsert__remove,axiom,
% 197.76/197.78 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 197.76/197.78 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Ounion__inter,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Ounion__disjoint,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.78 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Oeq__fold_H,axiom,
% 197.76/197.78 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 197.76/197.78 ! [V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Max_Oclosed,axiom,
% 197.76/197.78 ! [V_A_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_apfst__apsnd,axiom,
% 197.76/197.78 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_apsnd__apfst,axiom,
% 197.76/197.78 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_apfst__conv,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_apfst__eq__conv,axiom,
% 197.76/197.78 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.78 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 197.76/197.78 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_fst__apfst,axiom,
% 197.76/197.78 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_snd__apfst,axiom,
% 197.76/197.78 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_apsnd__apfst__commute,axiom,
% 197.76/197.78 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__lessI2,axiom,
% 197.76/197.78 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__natinterval__difff,axiom,
% 197.76/197.78 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_gauss__sum,axiom,
% 197.76/197.78 ! [V_n_2,T_b] :
% 197.76/197.78 ( class_Rings_Ocomm__semiring__1(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_n_2)),c_Groups_Oone__class_Oone(T_b))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INFI__fold__inf,axiom,
% 197.76/197.78 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF1__E,axiom,
% 197.76/197.78 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 197.76/197.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF1__D,axiom,
% 197.76/197.78 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__D,axiom,
% 197.76/197.78 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__E,axiom,
% 197.76/197.78 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 197.76/197.78 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF2__D,axiom,
% 197.76/197.78 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF2__E,axiom,
% 197.76/197.78 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.76/197.78 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 197.76/197.78 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__INT,axiom,
% 197.76/197.78 ! [V_A_2,T_c,V_I_2,T_b] :
% 197.76/197.78 ( ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 197.76/197.78 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I5_J,axiom,
% 197.76/197.78 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I5_J,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I8_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I8_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__commute,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INFI__apply,axiom,
% 197.76/197.78 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Pow__INT__eq,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__Int__distrib,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__subset__iff,axiom,
% 197.76/197.78 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__iff,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Inter__def,axiom,
% 197.76/197.78 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I7_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I6_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I7_J,axiom,
% 197.76/197.78 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Un__INT__distrib,axiom,
% 197.76/197.78 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I6_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Un__INT__distrib2,axiom,
% 197.76/197.78 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__INT__eq2,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INFI__bool__eq,axiom,
% 197.76/197.78 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_le__INF__iff,axiom,
% 197.76/197.78 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__less__iff,axiom,
% 197.76/197.78 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 & class_Orderings_Olinorder(T_b) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__insert__distrib,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__lower,axiom,
% 197.76/197.78 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__INT__eq,axiom,
% 197.76/197.78 ! [V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__absorb,axiom,
% 197.76/197.78 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__const,axiom,
% 197.76/197.78 ! [V_M_2,T_b,V_A_2,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__empty,axiom,
% 197.76/197.78 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__constant,axiom,
% 197.76/197.78 ! [V_c_2,T_c,T_b,V_A_2] :
% 197.76/197.78 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__insert,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__Un,axiom,
% 197.76/197.78 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Un__Inter,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastatMost__empty__iff2,axiom,
% 197.76/197.78 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastatMost__empty__iff,axiom,
% 197.76/197.78 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastatMost__empty,axiom,
% 197.76/197.78 ! [V_a_2,V_b_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastatMost__subset__iff,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 197.76/197.78 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 197.76/197.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastAtMost__singleton,axiom,
% 197.76/197.78 ! [V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 197.76/197.78 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.78 <=> ( V_a_2 = V_b_2
% 197.76/197.78 & V_b_2 = V_c_2 ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastAtMost__singleton_H,axiom,
% 197.76/197.78 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( V_a_2 = V_b_2
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 197.76/197.78 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__subset,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastAtMostSuc__conv,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF__leI,axiom,
% 197.76/197.78 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 197.76/197.78 ! [V_k_2,V_f_2] :
% 197.76/197.78 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastatMost__psubset__iff,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 197.76/197.78 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 197.76/197.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 197.76/197.78 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 197.76/197.78 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I4_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__head__Suc,axiom,
% 197.76/197.78 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__lessI1,axiom,
% 197.76/197.78 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__cl__ivl__Suc,axiom,
% 197.76/197.78 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_inf__INFI__fold__inf,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__ub__add__nat,axiom,
% 197.76/197.78 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat))))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_p_2)))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ex__nat__less,axiom,
% 197.76/197.78 ! [V_P_2,V_n_2] :
% 197.76/197.78 ( ? [B_m] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 197.76/197.78 & hBOOL(hAPP(V_P_2,B_m)) )
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 197.76/197.78 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_all__nat__less,axiom,
% 197.76/197.78 ! [V_P_2,V_n_2] :
% 197.76/197.78 ( ! [B_m] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_m)) )
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__leqI2,axiom,
% 197.76/197.78 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_smin__insertI,axiom,
% 197.76/197.78 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF1__iff,axiom,
% 197.76/197.78 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INF2__iff,axiom,
% 197.76/197.78 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_smin__emptyI,axiom,
% 197.76/197.78 ! [V_X_2] :
% 197.76/197.78 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_simp__from__to,axiom,
% 197.76/197.78 ! [V_i_2,V_j_2] :
% 197.76/197.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atLeastAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__leqI1,axiom,
% 197.76/197.78 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_wmax__insertI,axiom,
% 197.76/197.78 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_wmin__insertI,axiom,
% 197.76/197.78 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_smax__insertI,axiom,
% 197.76/197.78 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I8_J,axiom,
% 197.76/197.78 ! [V_t_2,V_A_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atLeastAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_wmax__emptyI,axiom,
% 197.76/197.78 ! [V_X_2] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_smax__emptyI,axiom,
% 197.76/197.78 ! [V_Y_2] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 197.76/197.78 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_wmin__emptyI,axiom,
% 197.76/197.78 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__weak__def,axiom,
% 197.76/197.78 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_max__weak__def,axiom,
% 197.76/197.78 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I6_J,axiom,
% 197.76/197.78 ! [V_A_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I8_J,axiom,
% 197.76/197.78 ! [V_B_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_infinite__UNIV__int,axiom,
% 197.76/197.78 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_max__strict__def,axiom,
% 197.76/197.78 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_max__ext__additive,axiom,
% 197.76/197.78 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__strict__def,axiom,
% 197.76/197.78 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_max__extp__max__ext__eq,axiom,
% 197.76/197.78 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 197.76/197.78 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 197.76/197.78 => ( ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 197.76/197.78 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I3_J,axiom,
% 197.76/197.78 ! [V_A_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 197.76/197.78 => ( ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 197.76/197.78 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 197.76/197.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I5_J,axiom,
% 197.76/197.78 ! [V_A_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I4_J,axiom,
% 197.76/197.78 ! [V_A_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( B_x != V_t_2
% 197.76/197.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( B_x != V_t_2
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I7_J,axiom,
% 197.76/197.78 ! [V_B_2,V_t_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I6_J,axiom,
% 197.76/197.78 ! [V_t_2,V_B_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_periodic__finite__ex,axiom,
% 197.76/197.78 ! [V_P_2,V_d_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 197.76/197.78 => ( ! [B_x,B_k] :
% 197.76/197.78 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.78 <=> hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 197.76/197.78 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 197.76/197.78 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_aset_I7_J,axiom,
% 197.76/197.78 ! [V_t_2,V_A_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_bset_I5_J,axiom,
% 197.76/197.78 ! [V_t_2,V_B_2,V_D_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 197.76/197.78 => ! [B_x] :
% 197.76/197.78 ( ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 197.76/197.78 => ! [B_xb] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 197.76/197.78 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__greaterThanLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__greaterThanLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThanLessThan__empty,axiom,
% 197.76/197.78 ! [V_k_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 197.76/197.78 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I13_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I12_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__greaterThanLessThan,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_max__rpair__set,axiom,
% 197.76/197.78 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_min__rpair__set,axiom,
% 197.76/197.78 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I19_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I4_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__greaterThanAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__greaterThanLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__greaterThanAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThanAtMost__empty,axiom,
% 197.76/197.78 ! [V_k_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 197.76/197.78 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 197.76/197.78 ! [V_l_2,V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 197.76/197.78 ! [V_l_2,V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I20_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I14_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__greaterThanAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I22_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I16_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__greaterThanAtMost,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I10_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__greaterThanLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__greaterThanAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I16_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__head,axiom,
% 197.76/197.78 ! [V_P_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I5_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_less__than__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_intrel__iff,axiom,
% 197.76/197.78 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 197.76/197.78 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_rp__inv__image__rp,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_P_2,T_b] :
% 197.76/197.78 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 197.76/197.78 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_P_2),V_f_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUPR__fold__sup,axiom,
% 197.76/197.78 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__I,axiom,
% 197.76/197.78 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP1__I,axiom,
% 197.76/197.78 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP2__I,axiom,
% 197.76/197.78 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UNION__empty__conv_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__constant,axiom,
% 197.76/197.78 ! [V_c_2,T_c,T_b,V_A_2] :
% 197.76/197.78 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__empty2,axiom,
% 197.76/197.78 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UNION__empty__conv_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__Un,axiom,
% 197.76/197.78 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__Un__distrib,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__UN,axiom,
% 197.76/197.78 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__iff,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I9_J,axiom,
% 197.76/197.78 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I9_J,axiom,
% 197.76/197.78 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Union__def,axiom,
% 197.76/197.78 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I8_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I8_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__commute,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUPR__apply,axiom,
% 197.76/197.78 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I6_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I6_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__UN__distrib2,axiom,
% 197.76/197.78 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__UN__distrib,axiom,
% 197.76/197.78 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I5_J,axiom,
% 197.76/197.78 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I5_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__subset__iff,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__Pow__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__UN__eq2,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__le__iff,axiom,
% 197.76/197.78 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_less__SUP__iff,axiom,
% 197.76/197.78 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 197.76/197.78 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.78 & class_Orderings_Olinorder(T_b) )
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__const,axiom,
% 197.76/197.78 ! [V_M_2,T_b,V_A_2,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__insert__distrib,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__upper,axiom,
% 197.76/197.78 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__UN__eq,axiom,
% 197.76/197.78 ! [V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__absorb,axiom,
% 197.76/197.78 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__singleton,axiom,
% 197.76/197.78 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I1_J,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I2_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__insert,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I7_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I7_J,axiom,
% 197.76/197.78 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__Union2,axiom,
% 197.76/197.78 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__Union,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__INT,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__UN,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__lessThan__UNIV,axiom,
% 197.76/197.78 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP__subset,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__less__def,axiom,
% 197.76/197.78 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_le__SUPI,axiom,
% 197.76/197.78 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 197.76/197.78 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_sup__SUPR__fold__sup,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 197.76/197.78 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_nat__def,axiom,
% 197.76/197.78 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_mlex__prod__def,axiom,
% 197.76/197.78 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_rp__inv__image__def,axiom,
% 197.76/197.78 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ball__UN,axiom,
% 197.76/197.78 ! [V_P_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 => ! [B_xa] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I9_J,axiom,
% 197.76/197.78 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I9_J,axiom,
% 197.76/197.78 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__UN__flatten,axiom,
% 197.76/197.78 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP1__iff,axiom,
% 197.76/197.78 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SUP2__iff,axiom,
% 197.76/197.78 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Rep__Integ__inject,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2] :
% 197.76/197.78 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 197.76/197.78 <=> V_x_2 = V_y_2 ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_measure__def,axiom,
% 197.76/197.78 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_in__inv__image,axiom,
% 197.76/197.78 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__le__eq__Un0,axiom,
% 197.76/197.78 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I7_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atMost,axiom,
% 197.76/197.78 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__eq__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 197.76/197.78 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast0AtMost,axiom,
% 197.76/197.78 ! [V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_lessThan__Suc__atMost,axiom,
% 197.76/197.78 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atMost,axiom,
% 197.76/197.78 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__Suc,axiom,
% 197.76/197.78 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__iff,axiom,
% 197.76/197.78 ! [V_k_2,V_i_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oord(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__subset__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__atMost__UNIV,axiom,
% 197.76/197.78 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__atMost__Suc,axiom,
% 197.76/197.78 ! [V_n_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__0,axiom,
% 197.76/197.78 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastAtMostL1,axiom,
% 197.76/197.78 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastAtMostR1,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I9_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__le__add__shift,axiom,
% 197.76/197.78 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I3_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I1_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I2_J,axiom,
% 197.76/197.78 ! [V_u_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I10_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_irrefl__def,axiom,
% 197.76/197.78 ! [V_r_2,T_b] :
% 197.76/197.78 ( c_Relation_Oirrefl(T_b,V_r_2)
% 197.76/197.78 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Field__insert,axiom,
% 197.76/197.78 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__on__def,axiom,
% 197.76/197.78 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__on__def_H,axiom,
% 197.76/197.78 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__on__empty,axiom,
% 197.76/197.78 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Field__empty,axiom,
% 197.76/197.78 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_mono__Field,axiom,
% 197.76/197.78 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Field__Un,axiom,
% 197.76/197.78 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__Field,axiom,
% 197.76/197.78 ! [V_r_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__on__eqI,axiom,
% 197.76/197.78 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 197.76/197.78 ( V_a_2 = V_b_2
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__on__iff,axiom,
% 197.76/197.78 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 197.76/197.78 <=> ( V_x_2 = V_y_2
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Id__onE,axiom,
% 197.76/197.78 ! [V_A_2,V_c_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 197.76/197.78 => ~ ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.78 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_geometric__sum,axiom,
% 197.76/197.78 ! [V_n_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Fields_Ofield(T_b)
% 197.76/197.78 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_escape,axiom,
% 197.76/197.78 ! [V_Q_2,V_c_2,V_Ga_2,T_b,V_P_2] :
% 197.76/197.78 ( ! [B_Z,B_s] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 197.76/197.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_c_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 197.76/197.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 197.76/197.78 => V_b_2 = V_d_2 ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 197.76/197.78 => V_a_2 = V_c_2 ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__eq__iff,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 197.76/197.78 <=> ( V_a_2 = V_c_2
% 197.76/197.78 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_all__nat__less__eq,axiom,
% 197.76/197.78 ! [V_P_2,V_n_2] :
% 197.76/197.78 ( ! [B_m] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_m)) )
% 197.76/197.78 <=> ! [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 197.76/197.78 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ex__nat__less__eq,axiom,
% 197.76/197.78 ! [V_P_2,V_n_2] :
% 197.76/197.78 ( ? [B_m] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 197.76/197.78 & hBOOL(hAPP(V_P_2,B_m)) )
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)))
% 197.76/197.78 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__add__Un,axiom,
% 197.76/197.78 ! [V_k_2,V_j_2,V_i_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 197.76/197.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan0,axiom,
% 197.76/197.78 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast0LessThan,axiom,
% 197.76/197.78 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_subset__card__intvl__is__intvl,axiom,
% 197.76/197.78 ! [V_k_2,V_A_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 197.76/197.78 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__empty,axiom,
% 197.76/197.78 ! [V_a_2,V_b_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 197.76/197.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 197.76/197.78 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__empty__iff,axiom,
% 197.76/197.78 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__subset__iff,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 197.76/197.78 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I17_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 197.76/197.78 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__diff,axiom,
% 197.76/197.78 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_n_2),V_m_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I11_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__add__nat__ivl,axiom,
% 197.76/197.78 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__diff__nat__ivl,axiom,
% 197.76/197.78 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 197.76/197.78 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThan__singleton,axiom,
% 197.76/197.78 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__UN__finite__eq,axiom,
% 197.76/197.78 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I21_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I15_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I8_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I2_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I9_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 197.76/197.78 ! [V_k_2,V_f_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__head__upt__Suc,axiom,
% 197.76/197.78 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThanSuc,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2] :
% 197.76/197.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_n_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_setsum__op__ivl__Suc,axiom,
% 197.76/197.78 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 197.76/197.78 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = c_Groups_Ozero__class_Ozero(T_b) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2))),hAPP(V_f_2,V_n_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I15_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I6_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I3_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I18_J,axiom,
% 197.76/197.78 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__finite2__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 197.76/197.78 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__finite2__eq,axiom,
% 197.76/197.78 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 197.76/197.78 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 197.76/197.78 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__finite__subset,axiom,
% 197.76/197.78 ! [V_C_2,V_A_2,T_b] :
% 197.76/197.78 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atLeastLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__atLeastLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 197.76/197.78 ! [V_x_2,V_y_2,V_c_2] :
% 197.76/197.78 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 197.76/197.78 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 197.76/197.78 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.76/197.78 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 197.76/197.78 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 197.76/197.78 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_equiv__intrel__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2] :
% 197.76/197.78 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atMost__Int__atLeast,axiom,
% 197.76/197.78 ! [V_n_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__eqI,axiom,
% 197.76/197.78 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 197.76/197.78 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__imageI,axiom,
% 197.76/197.78 ! [V_h_2,T_c,V_F_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__Un,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_subset__image__iff,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.78 <=> ? [B_AA] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 197.76/197.78 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__mono,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Pow__mono,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Un,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__insert,axiom,
% 197.76/197.78 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__is__empty,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.78 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__empty,axiom,
% 197.76/197.78 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_empty__is__image,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.78 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 197.76/197.78 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__iff,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_imageI,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_rev__image__eqI,axiom,
% 197.76/197.78 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__extend__simps_I10_J,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__simps_I10_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Pow__surj,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.78 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 197.76/197.78 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__image,axiom,
% 197.76/197.78 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__eq__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 197.76/197.78 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_range__composition,axiom,
% 197.76/197.78 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__atMost,axiom,
% 197.76/197.78 ! [V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__atLeast,axiom,
% 197.76/197.78 ! [V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__empty,axiom,
% 197.76/197.78 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__UN,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__simps_I10_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__UN,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__extend__simps_I10_J,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_insert__image,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_range__eqI,axiom,
% 197.76/197.78 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 197.76/197.78 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_rangeI,axiom,
% 197.76/197.78 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__surj,axiom,
% 197.76/197.78 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Int__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__diff__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Suc__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Suc__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__Int__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__constant__conv,axiom,
% 197.76/197.78 ! [V_c_2,T_c,T_b,V_A_2] :
% 197.76/197.78 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.78 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__mono,axiom,
% 197.76/197.78 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__range__imageI,axiom,
% 197.76/197.78 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 197.76/197.78 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Un__Image,axiom,
% 197.76/197.78 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__add__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__add__atLeastAtMost,axiom,
% 197.76/197.78 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__Id__on,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__INT__subset,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__Union,axiom,
% 197.76/197.78 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_card__image__le,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__iff,axiom,
% 197.76/197.78 ! [V_k_2,V_i_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oord(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__subset__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__0,axiom,
% 197.76/197.78 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__iff,axiom,
% 197.76/197.78 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 197.76/197.78 <=> ? [B_x] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.78 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_rev__ImageI,axiom,
% 197.76/197.78 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__constant,axiom,
% 197.76/197.78 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__eq__UN,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__atLeast,axiom,
% 197.76/197.78 ! [V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__lessThan,axiom,
% 197.76/197.78 ! [V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__eq__UN,axiom,
% 197.76/197.78 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__eq__fold__image,axiom,
% 197.76/197.78 ! [V_f_2,T_c,V_A_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 197.76/197.78 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I14_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I8_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastAtMostL2,axiom,
% 197.76/197.78 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__atLeastAtMostR2,axiom,
% 197.76/197.78 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UN__atLeast__UNIV,axiom,
% 197.76/197.78 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I6_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__Suc,axiom,
% 197.76/197.78 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_minus__Min__eq__Max,axiom,
% 197.76/197.78 ! [V_S_2,T_b] :
% 197.76/197.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.78 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_minus__Max__eq__Min,axiom,
% 197.76/197.78 ! [V_S_2,T_b] :
% 197.76/197.78 ( class_Groups_Olinordered__ab__group__add(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.78 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Image__singleton__iff,axiom,
% 197.76/197.78 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_surj__Compl__image__subset,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.78 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_of__int,axiom,
% 197.76/197.78 ! [V_j_2,V_i_2,T_b] :
% 197.76/197.78 ( class_Rings_Oring__1(T_b)
% 197.76/197.78 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_One__int__def,axiom,
% 197.76/197.78 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_pair__imageI,axiom,
% 197.76/197.78 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 197.76/197.78 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.78 ( V_A_2 = V_B_2
% 197.76/197.78 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 197.76/197.78 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Cantors__paradox,axiom,
% 197.76/197.78 ! [V_A_2,T_b] :
% 197.76/197.78 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Rep__Integ__inverse,axiom,
% 197.76/197.78 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 197.76/197.78 ! [V_A_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Field__Union,axiom,
% 197.76/197.78 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_b] :
% 197.76/197.78 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Union__image__eq,axiom,
% 197.76/197.78 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_UNION__eq__Union__image,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INTER__eq__Inter__image,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Inter__image__eq,axiom,
% 197.76/197.78 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Un__Union__image,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 197.76/197.78 ! [V_A_2,V_f_2,T_b] :
% 197.76/197.78 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Int__Inter__image,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Pow__insert,axiom,
% 197.76/197.78 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 197.76/197.78 ! [V_A_2] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 197.76/197.78 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 197.76/197.78 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 197.76/197.78 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 197.76/197.78 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__add__int__atLeastLessThan,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__ident,axiom,
% 197.76/197.78 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 197.76/197.78 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 197.76/197.78 ! [V_n_2,V_m_2] :
% 197.76/197.78 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 197.76/197.78 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 197.76/197.78 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_m_2,V_n_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Int_Onat,V_m_2),hAPP(c_Int_Onat,V_n_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 197.76/197.78 ! [V_u_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 197.76/197.78 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_minus,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Zero__int__def,axiom,
% 197.76/197.78 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_int__def,axiom,
% 197.76/197.78 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_add,axiom,
% 197.76/197.78 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_nat,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_minus__int__def,axiom,
% 197.76/197.78 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_less,axiom,
% 197.76/197.78 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_le,axiom,
% 197.76/197.78 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 197.76/197.78 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_mult,axiom,
% 197.76/197.78 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_eq__Abs__Integ,axiom,
% 197.76/197.78 ! [V_z_2] :
% 197.76/197.78 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThan__Suc,axiom,
% 197.76/197.78 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_finite__pointwise,axiom,
% 197.76/197.78 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] :
% 197.76/197.78 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 197.76/197.78 => ( ! [B_p] :
% 197.76/197.78 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 197.76/197.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 197.76/197.78 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 197.76/197.78 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThan__eq__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 197.76/197.78 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThan__iff,axiom,
% 197.76/197.78 ! [V_k_2,V_i_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oord(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThan__subset__iff,axiom,
% 197.76/197.78 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 197.76/197.78 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__greaterThan,axiom,
% 197.76/197.78 ! [V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Compl__atMost,axiom,
% 197.76/197.78 ! [V_k_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_atLeast__Suc__greaterThan,axiom,
% 197.76/197.78 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_INT__greaterThan__UNIV,axiom,
% 197.76/197.78 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I7_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I11_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__lessThan,axiom,
% 197.76/197.78 ! [V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_image__uminus__greaterThan,axiom,
% 197.76/197.78 ! [V_x_2,T_b] :
% 197.76/197.78 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.78 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__int_I5_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Oorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I1_J,axiom,
% 197.76/197.78 ! [V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_greaterThan__0,axiom,
% 197.76/197.78 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I13_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_ivl__disj__un_I12_J,axiom,
% 197.76/197.78 ! [V_u_2,V_l_2,T_b] :
% 197.76/197.78 ( class_Orderings_Olinorder(T_b)
% 197.76/197.78 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.78 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.78 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.78 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.78 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.78 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 197.76/197.78 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.78 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.78 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.78 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.78 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 197.76/197.78 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 197.76/197.78
% 197.76/197.78 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 197.76/197.78 ! [V_B_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_nat__set__def,axiom,
% 197.76/197.79 ! [V_S_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_S_2)
% 197.76/197.79 <=> ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 197.76/197.79 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => ( V_A_2 = V_B_2
% 197.76/197.79 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2] :
% 197.76/197.79 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.76/197.79 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.76/197.79 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 197.76/197.79 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 197.76/197.79 ! [V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 197.76/197.79 ! [V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 197.76/197.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 197.76/197.79 ! [V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 197.76/197.79 ! [V_A_2,V_x_2] :
% 197.76/197.79 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2] :
% 197.76/197.79 ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 197.76/197.79 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.79 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.79 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__def,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__image,axiom,
% 197.76/197.79 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 197.76/197.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__triv,axiom,
% 197.76/197.79 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__def,axiom,
% 197.76/197.79 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 197.76/197.79 ( ( V_x_2 = V_a_2
% 197.76/197.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 197.76/197.79 & ( V_x_2 != V_a_2
% 197.76/197.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__idem__iff,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 197.76/197.79 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__upd,axiom,
% 197.76/197.79 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__same,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__apply,axiom,
% 197.76/197.79 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 197.76/197.79 ( ( V_z_2 = V_x_2
% 197.76/197.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 197.76/197.79 & ( V_z_2 != V_x_2
% 197.76/197.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__twist,axiom,
% 197.76/197.79 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 197.76/197.79 ( V_a_2 != V_c_2
% 197.76/197.79 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__other,axiom,
% 197.76/197.79 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 197.76/197.79 ( V_z_2 != V_x_2
% 197.76/197.79 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fun__upd__idem,axiom,
% 197.76/197.79 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 197.76/197.79 ( hAPP(V_f_2,V_x_2) = V_y_2
% 197.76/197.79 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__is__empty,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 197.76/197.79 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__is__empty2,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 197.76/197.79 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__empty,axiom,
% 197.76/197.79 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotientI,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_singleton__quotient,axiom,
% 197.76/197.79 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__class__nondisjoint,axiom,
% 197.76/197.79 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_subset__equiv__class,axiom,
% 197.76/197.79 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotientE,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ~ ! [B_x] :
% 197.76/197.79 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__intrel,axiom,
% 197.76/197.79 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Union__quotient,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__class__self,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__disj,axiom,
% 197.76/197.79 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( V_X_2 = V_Y_2
% 197.76/197.79 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__class__eq,axiom,
% 197.76/197.79 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__eq__iff,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 197.76/197.79 => ( V_X_2 = V_Y_2
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__eqI,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.79 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__class__eq__iff,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.79 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_eq__equiv__class__iff,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.76/197.79 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_eq__equiv__class,axiom,
% 197.76/197.79 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 197.76/197.79 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__class__subset,axiom,
% 197.76/197.79 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_eq__equiv__class__iff2,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.76/197.79 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__equiv__class2,axiom,
% 197.76/197.79 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 197.76/197.79 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 197.76/197.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__equiv__class,axiom,
% 197.76/197.79 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equivp__equiv,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 197.76/197.79 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_identity__equivp,axiom,
% 197.76/197.79 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equivp__def,axiom,
% 197.76/197.79 ! [V_R_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.79 <=> ! [B_x,B_y] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 197.76/197.79 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equivp__reflp,axiom,
% 197.76/197.79 ! [V_x_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.79 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equivp__symp,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equivp__transp,axiom,
% 197.76/197.79 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_congruent2__implies__congruent,axiom,
% 197.76/197.79 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_congruent__def,axiom,
% 197.76/197.79 ! [V_f_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 197.76/197.79 <=> ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_congruent2D,axiom,
% 197.76/197.79 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 197.76/197.79 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_congruentD,axiom,
% 197.76/197.79 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 197.76/197.79 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_congruent2__implies__congruent__UN,axiom,
% 197.76/197.79 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 197.76/197.79 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 197.76/197.79 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__equiv__class__inject,axiom,
% 197.76/197.79 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 197.76/197.79 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => ! [B_y] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 197.76/197.79 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 197.76/197.79 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__equiv__class__type2,axiom,
% 197.76/197.79 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 197.76/197.79 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 197.76/197.79 => ( ! [B_x1] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 197.76/197.79 => ! [B_x2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__equiv__class__type,axiom,
% 197.76/197.79 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Integ__def,axiom,
% 197.76/197.79 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__def_H,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 <=> ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 197.76/197.79 & ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__quotient__disjoint,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__empty,axiom,
% 197.76/197.79 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__uminus,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( class_Groups_Oordered__ab__group__add(T_b)
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__imageD,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__id2,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__def,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 <=> ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => ! [B_xa] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 197.76/197.79 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 197.76/197.79 => B_x = B_xa ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__diff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__Id__on,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_subset__inj__on,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__contraD,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( V_x_2 != V_y_2
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.76/197.79 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__iff,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.76/197.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 197.76/197.79 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__onD,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 197.76/197.79 => V_x_2 = V_y_2 ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__Int,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_injD,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 197.76/197.79 => V_x_2 = V_y_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__eq,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 197.76/197.79 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__fun,axiom,
% 197.76/197.79 ! [T_d,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__image__eq__iff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 197.76/197.79 <=> V_A_2 = V_B_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 197.76/197.79 <=> V_A_2 = V_B_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__image,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__strict__subset,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_range__ex1__eq,axiom,
% 197.76/197.79 ! [V_b_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 197.76/197.79 <=> ? [B_x] :
% 197.76/197.79 ( V_b_2 = hAPP(V_f_2,B_x)
% 197.76/197.79 & ! [B_y] :
% 197.76/197.79 ( V_b_2 = hAPP(V_f_2,B_y)
% 197.76/197.79 => B_y = B_x ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__image__mem__iff,axiom,
% 197.76/197.79 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__iff__surj,axiom,
% 197.76/197.79 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 197.76/197.79 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( ? [B_f] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 197.76/197.79 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__surj__inj,axiom,
% 197.76/197.79 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_endo__inj__surj,axiom,
% 197.76/197.79 ! [V_f_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__UNIV__surj__inj,axiom,
% 197.76/197.79 ! [V_f_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__UNIV__inj__surj,axiom,
% 197.76/197.79 ! [V_f_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__empty,axiom,
% 197.76/197.79 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__image__subset__iff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__image__Int,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__Int,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__iff__eq__card,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_eq__card__imp__inj__on,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2)
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__image__set__diff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__set__diff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pigeonhole,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_c),V_A_2)))
% 197.76/197.79 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__fun__updI,axiom,
% 197.76/197.79 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__Un,axiom,
% 197.76/197.79 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 197.76/197.79 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__Int,axiom,
% 197.76/197.79 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 197.76/197.79 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__singleton,axiom,
% 197.76/197.79 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Rep__Integ,axiom,
% 197.76/197.79 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__bij__eq,axiom,
% 197.76/197.79 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__image__Compl__subset,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__onD2,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__onD1,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__onD,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__insert,axiom,
% 197.76/197.79 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 197.76/197.79 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__Un,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__iff__card__le,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.79 => ( ? [B_f] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_B_2)) )
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__inj__on__le,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_quotient__diff1,axiom,
% 197.76/197.79 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__INT,axiom,
% 197.76/197.79 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition__Integ,axiom,
% 197.76/197.79 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__into__into,axiom,
% 197.76/197.79 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__Suc,axiom,
% 197.76/197.79 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__add__nat,axiom,
% 197.76/197.79 ! [V_N_2,V_k_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2),V_N_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__of__nat,axiom,
% 197.76/197.79 ! [T_b] :
% 197.76/197.79 ( class_Nat_Osemiring__char__0(T_b)
% 197.76/197.79 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__int,axiom,
% 197.76/197.79 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_swap__inj__on,axiom,
% 197.76/197.79 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__into__f__eq,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__into__f__f,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__f__f,axiom,
% 197.76/197.79 ! [V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__into__onto,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__the__inv__into,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_f__the__inv__into__f,axiom,
% 197.76/197.79 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_ORep__range,axiom,
% 197.76/197.79 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_OAbs__image,axiom,
% 197.76/197.79 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_OAbs__inject,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 197.76/197.79 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 197.76/197.79 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_ORep__inject,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 197.76/197.79 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_ORep__inverse,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_ORep,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_type__definition_OAbs__inverse,axiom,
% 197.76/197.79 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 197.76/197.79 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 197.76/197.79 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Max_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Min_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Inf__fin_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Lattices_Olattice(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sup__fin_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Lattices_Olattice(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_hom__fold1__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,T_b] :
% 197.76/197.79 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_ImageE,axiom,
% 197.76/197.79 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 197.76/197.79 => ~ ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 197.76/197.79 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.79 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.79 => ( V_A_2 = V_B_2
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.79 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 197.76/197.79 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.79 & class_Groups_Ocomm__monoid__mult(T_b) )
% 197.76/197.79 => ( V_A_2 = V_B_2
% 197.76/197.79 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.79 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_accp__acc__eq,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_max__extp_Oequations,axiom,
% 197.76/197.79 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 197.76/197.79 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 197.76/197.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 197.76/197.79 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 & ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 197.76/197.79 => ? [B_xa] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_max__ext_Ointros,axiom,
% 197.76/197.79 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 197.76/197.79 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 197.76/197.79 => ? [B_xa] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_acc__subset,axiom,
% 197.76/197.79 ! [V_R2_2,V_R1_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_acc__downward,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_acc_Osimps,axiom,
% 197.76/197.79 ! [V_r_2,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 197.76/197.79 <=> ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 197.76/197.79 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__Inter,axiom,
% 197.76/197.79 ! [V_f_2,T_c,T_b,V_S_2] :
% 197.76/197.79 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 197.76/197.79 => ( ! [B_A] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 197.76/197.79 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__elem__def,axiom,
% 197.76/197.79 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_split__paired__The,axiom,
% 197.76/197.79 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_P_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_The__split__eq,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__inv__into__def,axiom,
% 197.76/197.79 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fold__def,axiom,
% 197.76/197.79 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_divmod__nat__def,axiom,
% 197.76/197.79 ! [V_n_2,V_m_2] : c_Divides_Odivmod__nat(V_m_2,V_n_2) = c_HOL_OThe(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat__rel(V_m_2,V_n_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fold1__def,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_The__split,axiom,
% 197.76/197.79 ! [V_P_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Oone__frac__def,axiom,
% 197.76/197.79 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 197.76/197.79 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Ofrac__def,axiom,
% 197.76/197.79 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_flat__lub__def,axiom,
% 197.76/197.79 ! [V_b_2,V_A_2,T_b] :
% 197.76/197.79 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 197.76/197.79 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 197.76/197.79 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__vimage__singleton,axiom,
% 197.76/197.79 ! [V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 197.76/197.79 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 197.76/197.79 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 197.76/197.79 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimageI,axiom,
% 197.76/197.79 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 197.76/197.79 ( hAPP(V_f_2,V_a_2) = V_b_2
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__UNIV,axiom,
% 197.76/197.79 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__mono,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Un,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Int,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__UN,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Compl,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__code,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 197.76/197.79 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__empty,axiom,
% 197.76/197.79 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__ident,axiom,
% 197.76/197.79 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__INT,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Diff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimageI2,axiom,
% 197.76/197.79 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimageD,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__eq,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__vimage__subset,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_surj__image__vimage__eq,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Union,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__singleton__eq,axiom,
% 197.76/197.79 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 197.76/197.79 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__insert,axiom,
% 197.76/197.79 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__vimageD,axiom,
% 197.76/197.79 ! [V_F_2,V_h_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__subsetD,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 197.76/197.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__vimage__eq,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__vimageI,axiom,
% 197.76/197.79 ! [V_h_2,T_c,V_F_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 197.76/197.79 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__vimage__image__eq,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__const,axiom,
% 197.76/197.79 ! [T_c,V_A_2,V_c_2,T_b] :
% 197.76/197.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__eq__UN,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__subsetI,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__if,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 197.76/197.79 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.76/197.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 197.76/197.79 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 197.76/197.79 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__split__eq__Sigma,axiom,
% 197.76/197.79 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Rep__Integ__induct,axiom,
% 197.76/197.79 ! [V_P_2,V_y_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 197.76/197.79 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 197.76/197.79 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Rep__Integ__cases,axiom,
% 197.76/197.79 ! [V_y_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 197.76/197.79 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SigmaI,axiom,
% 197.76/197.79 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__eq__cancel2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 197.76/197.79 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 197.76/197.79 <=> V_A_2 = V_B_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Diff__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__Diff__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Diff__distrib2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__empty1,axiom,
% 197.76/197.79 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Union,axiom,
% 197.76/197.79 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__cartesian__product,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__cartesian__product,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__empty2,axiom,
% 197.76/197.79 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__empty,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.79 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 197.76/197.79 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Compl__Times__UNIV1,axiom,
% 197.76/197.79 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Compl__Times__UNIV2,axiom,
% 197.76/197.79 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setprod__cartesian__product,axiom,
% 197.76/197.79 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__mult(T_b)
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Un__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__Un__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Un__distrib2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_swap__product,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__cartesian__product,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_equiv__type,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Int__distrib2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__Int__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__Int__distrib1,axiom,
% 197.76/197.79 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Id__on__subset__Times,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UNIV__Times__UNIV,axiom,
% 197.76/197.79 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_mem__Sigma__iff,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 197.76/197.79 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SigmaD1,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SigmaD2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SigmaE2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 197.76/197.79 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__cartesian__product__singleton,axiom,
% 197.76/197.79 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Times__subset__cancel2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Image__subset,axiom,
% 197.76/197.79 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__cartesian__productD1,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 197.76/197.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__cartesian__productD2,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fst__image__times,axiom,
% 197.76/197.79 ! [V_A_2,T_c,T_b,V_B_2] :
% 197.76/197.79 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.79 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_snd__image__times,axiom,
% 197.76/197.79 ! [V_B_2,T_c,T_b,V_A_2] :
% 197.76/197.79 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.79 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__on__def,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.79 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.79 & ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_insert__times__insert,axiom,
% 197.76/197.79 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__equiv__class,axiom,
% 197.76/197.79 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UN__Times__distrib,axiom,
% 197.76/197.79 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sigma__def,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__quotient,axiom,
% 197.76/197.79 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 197.76/197.79 ! [V_A_2,V_I_2,T_c,T_b] :
% 197.76/197.79 ? [B_f] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_refl__onI,axiom,
% 197.76/197.79 ! [V_A_2,V_r_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 197.76/197.79 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fold__image__Sigma,axiom,
% 197.76/197.79 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 197.76/197.79 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setprod__Sigma,axiom,
% 197.76/197.79 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__Sigma,axiom,
% 197.76/197.79 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__SigmaI,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__SigmaI,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( ! [B_a] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SigmaE,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 197.76/197.79 => ~ ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 => ! [B_y] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 197.76/197.79 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__surj,axiom,
% 197.76/197.79 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 197.76/197.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__imageI,axiom,
% 197.76/197.79 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__ident,axiom,
% 197.76/197.79 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_snd__prod__fun,axiom,
% 197.76/197.79 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fst__map__pair,axiom,
% 197.76/197.79 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__simp,axiom,
% 197.76/197.79 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__def,axiom,
% 197.76/197.79 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__surj__on,axiom,
% 197.76/197.79 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.79 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 197.76/197.79 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 197.76/197.79 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair__inj__on,axiom,
% 197.76/197.79 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.79 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.79 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 197.76/197.79 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_prod__fun__imageE,axiom,
% 197.76/197.79 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 197.76/197.79 => ~ ! [B_x,B_y] :
% 197.76/197.79 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__INTER,axiom,
% 197.76/197.79 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 197.76/197.79 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( ! [B_i] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 197.76/197.79 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 197.76/197.79 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__less__Suc2,axiom,
% 197.76/197.79 ! [V_i_2,V_M_2] :
% 197.76/197.79 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_CollectI,axiom,
% 197.76/197.79 ! [T_b,V_a_2,V_P_2] :
% 197.76/197.79 ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__conjI,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_b] :
% 197.76/197.79 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) )
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__less__nat,axiom,
% 197.76/197.79 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__le__nat,axiom,
% 197.76/197.79 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_SetCompr__Sigma__eq,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),V_Q_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__split,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_c,T_b] : hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Q_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__neg__eq,axiom,
% 197.76/197.79 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__Collect__eq,axiom,
% 197.76/197.79 ! [V_P_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_P_2),V_f_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__mem__eq,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_mem__Collect__eq,axiom,
% 197.76/197.79 ! [V_P_2,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_CollectD,axiom,
% 197.76/197.79 ! [V_P_2,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_CollectE,axiom,
% 197.76/197.79 ! [V_P_2,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_insert__Collect,axiom,
% 197.76/197.79 ! [V_P_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_empty__def,axiom,
% 197.76/197.79 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__empty__eq,axiom,
% 197.76/197.79 ! [V_P_2,T_b] :
% 197.76/197.79 ( hAPP(c_Set_OCollect(T_b),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_empty__Collect__eq,axiom,
% 197.76/197.79 ! [V_P_2,T_b] :
% 197.76/197.79 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_P_2)
% 197.76/197.79 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__disjI,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2))))
% 197.76/197.79 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Q_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__def,axiom,
% 197.76/197.79 ! [V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),V_P_2) = V_P_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__conj__eq,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__disj__eq,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2)),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_UNIV__def,axiom,
% 197.76/197.79 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_insert__compr__raw,axiom,
% 197.76/197.79 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_insert__compr,axiom,
% 197.76/197.79 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Un__def,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Int__Collect,axiom,
% 197.76/197.79 ! [V_P_2,V_A_2,V_x_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))))
% 197.76/197.79 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.79 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Int__def,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__conv__if,axiom,
% 197.76/197.79 ! [T_b,V_a_2,V_P_2] :
% 197.76/197.79 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.79 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.79 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__conv__if2,axiom,
% 197.76/197.79 ! [T_b,V_a_2,V_P_2] :
% 197.76/197.79 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.79 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 197.76/197.79 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.79 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_singleton__conv,axiom,
% 197.76/197.79 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_singleton__conv2,axiom,
% 197.76/197.79 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_set__diff__eq,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__not,axiom,
% 197.76/197.79 ! [V_P_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))
% 197.76/197.79 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_insert__def,axiom,
% 197.76/197.79 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Compl__eq,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__def,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__ball__eq,axiom,
% 197.76/197.79 ! [V_P_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_P_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Collect__imp__eq,axiom,
% 197.76/197.79 ! [V_Q_2,V_P_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(c_Set_OCollect(T_b),V_Q_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Inter__eq,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__M__bounded__by__nat,axiom,
% 197.76/197.79 ! [V_i_2,V_P_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_P_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__setsum__restrict,axiom,
% 197.76/197.79 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_d)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_INTER__def,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_if__image__distrib,axiom,
% 197.76/197.79 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_P_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_P_2))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_nat__seg__image__imp__finite,axiom,
% 197.76/197.79 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 197.76/197.79 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,V_f_2),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_n_2)))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__restrict__set_H,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__image__gen,axiom,
% 197.76/197.79 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Sup__Inf,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.79 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Inf__Sup,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.79 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Image__singleton,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__cases,axiom,
% 197.76/197.79 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_b,T_c] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_P_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_P_2))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__less__Suc,axiom,
% 197.76/197.79 ! [V_i_2,V_M_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.76/197.79 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_card__less,axiom,
% 197.76/197.79 ! [V_i_2,V_M_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__multicount,axiom,
% 197.76/197.79 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__subsets,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Pow__Compl,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Pow__def,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Collect__bounded__ex,axiom,
% 197.76/197.79 ! [V_Q_2,T_c,V_P_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),V_Q_2)))))
% 197.76/197.79 <=> ! [B_y] :
% 197.76/197.79 ( hBOOL(hAPP(V_P_2,B_y))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__image__set,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_P_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_P_2)))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__graph,axiom,
% 197.76/197.79 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 197.76/197.79 ! [V_P_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__psubset__def,axiom,
% 197.76/197.79 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inv__image__def,axiom,
% 197.76/197.79 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 197.76/197.79 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_P_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 197.76/197.79 ! [V_P_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_P_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_P_2),c_Int_Onat)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_add__Min__commute,axiom,
% 197.76/197.79 ! [V_k_2,V_N_2,T_b] :
% 197.76/197.79 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_add__Max__commute,axiom,
% 197.76/197.79 ! [V_k_2,V_N_2,T_b] :
% 197.76/197.79 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 197.76/197.79 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_sup__Inf1__distrib,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Lattices_Odistrib__lattice(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_sup__Inf2__distrib,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Lattices_Odistrib__lattice(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inf__Sup1__distrib,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Lattices_Odistrib__lattice(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inf__Sup2__distrib,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Lattices_Odistrib__lattice(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 197.76/197.79 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( class_Orderings_Olinorder(T_b)
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.79 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Oprod__def,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_int__ge__less__than__def,axiom,
% 197.76/197.79 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_int__ge__less__than2__def,axiom,
% 197.76/197.79 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_reflp__def,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Predicate_Oreflp(T_b,V_r_2)
% 197.76/197.79 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.79 ( class_Rings_Osemiring__0(T_d)
% 197.76/197.79 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 197.76/197.79 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__multicount__gen,axiom,
% 197.76/197.79 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 197.76/197.79 => ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 197.76/197.79 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_inj__on__id,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_of__int__eq__id,axiom,
% 197.76/197.79 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_apsnd__id,axiom,
% 197.76/197.79 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_reflpE,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Predicate_Oreflp(T_b,V_r_2)
% 197.76/197.79 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_apfst__id,axiom,
% 197.76/197.79 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_id__apply,axiom,
% 197.76/197.79 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 197.76/197.79
% 197.76/197.79 fof(fact_id__def,axiom,
% 197.76/197.79 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_vimage__id,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair_Oid,axiom,
% 197.76/197.79 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_map__pair_Oidentity,axiom,
% 197.76/197.79 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_image__id,axiom,
% 197.76/197.79 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_surj__id,axiom,
% 197.76/197.79 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_apsnd__def,axiom,
% 197.76/197.79 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_apfst__def,axiom,
% 197.76/197.79 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_split__Pair,axiom,
% 197.76/197.79 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setsum__reindex__id,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,T_b,T_c] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_setprod__reindex__id,axiom,
% 197.76/197.79 ! [V_B_2,V_f_2,T_b,T_c] :
% 197.76/197.79 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.79 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__conv__nat__seg__image,axiom,
% 197.76/197.79 ! [V_A_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__def,axiom,
% 197.76/197.79 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Collect__split,axiom,
% 197.76/197.79 ! [V_P_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__compI,axiom,
% 197.76/197.79 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_RangeI,axiom,
% 197.76/197.79 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__UNION__distrib,axiom,
% 197.76/197.79 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__UNION__distrib2,axiom,
% 197.76/197.79 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Id__on,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_O__assoc,axiom,
% 197.76/197.79 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__empty1,axiom,
% 197.76/197.79 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__empty2,axiom,
% 197.76/197.79 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__mono,axiom,
% 197.76/197.79 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__distrib,axiom,
% 197.76/197.79 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__distrib2,axiom,
% 197.76/197.79 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_union__comp__emptyR,axiom,
% 197.76/197.79 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 197.76/197.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.79 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_union__comp__emptyL,axiom,
% 197.76/197.79 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 197.76/197.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.79 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.79 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Union,axiom,
% 197.76/197.79 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__empty,axiom,
% 197.76/197.79 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__empty__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_b,T_c] :
% 197.76/197.79 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_rel__comp__subset__Sigma,axiom,
% 197.76/197.79 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Un__eq,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Range,axiom,
% 197.76/197.79 ! [V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_snd__eq__Range,axiom,
% 197.76/197.79 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 197.76/197.79 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__insert,axiom,
% 197.76/197.79 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Int__subset,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Range__Diff__subset,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_max__ext__compat,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__ext__compat,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_RangeP__Range__eq,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_RangeE,axiom,
% 197.76/197.79 ! [V_r_2,T_c,V_b_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 197.76/197.79 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pred__comp__rel__comp__eq,axiom,
% 197.76/197.79 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pred__comp_Ointros,axiom,
% 197.76/197.79 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_RangeP_Ointros,axiom,
% 197.76/197.79 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 197.76/197.79 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pred__comp_Oequations,axiom,
% 197.76/197.79 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 197.76/197.79 <=> ? [B_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 197.76/197.79 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_RangeP_Oequations,axiom,
% 197.76/197.79 ! [V_a2_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 197.76/197.79 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_reduction__pairI,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 197.76/197.79 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Collect__split,axiom,
% 197.76/197.79 ! [V_P_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_P_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__sym__eq__trivial,axiom,
% 197.76/197.79 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__less__than,axiom,
% 197.76/197.79 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__empty,axiom,
% 197.76/197.79 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__inv__image,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__lex__prod,axiom,
% 197.76/197.79 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 197.76/197.79 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__measure,axiom,
% 197.76/197.79 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_DomainI,axiom,
% 197.76/197.79 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__comp__self,axiom,
% 197.76/197.79 ! [V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__subset,axiom,
% 197.76/197.79 ! [V_p_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 197.76/197.79 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_min__ext__wf,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Id__on,axiom,
% 197.76/197.79 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__pair__less,axiom,
% 197.76/197.79 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_max__ext__wf,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__mlex,axiom,
% 197.76/197.79 ! [V_f_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__finite__psubset,axiom,
% 197.76/197.79 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__Int1,axiom,
% 197.76/197.79 ! [V_r_H_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__Int2,axiom,
% 197.76/197.79 ! [V_r_H_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__irrefl,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__asym,axiom,
% 197.76/197.79 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__not__sym,axiom,
% 197.76/197.79 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__not__refl,axiom,
% 197.76/197.79 ! [V_a_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__less,axiom,
% 197.76/197.79 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__int__ge__less__than,axiom,
% 197.76/197.79 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__int__ge__less__than2,axiom,
% 197.76/197.79 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__Un,axiom,
% 197.76/197.79 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 197.76/197.79 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_acc__wfD,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__acc__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__no__loop,axiom,
% 197.76/197.79 ! [V_R_2,T_b] :
% 197.76/197.79 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.79 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__union__merge,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 197.76/197.79 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__empty__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_c,T_b] :
% 197.76/197.79 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.79 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__empty,axiom,
% 197.76/197.79 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__mono,axiom,
% 197.76/197.79 ! [V_s_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Un__eq,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__Domain,axiom,
% 197.76/197.79 ! [V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 197.76/197.79 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_fst__eq__Domain,axiom,
% 197.76/197.79 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 <=> ~ ? [B_f] :
% 197.76/197.79 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfE__pf,axiom,
% 197.76/197.79 ! [V_A_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 197.76/197.79 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__union__compatible,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 197.76/197.79 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf,axiom,
% 197.76/197.79 ! [T_b] :
% 197.76/197.79 ( class_Orderings_Owellorder(T_b)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__insert,axiom,
% 197.76/197.79 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_reduction__pair__def,axiom,
% 197.76/197.79 ! [V_P_2,T_b] :
% 197.76/197.79 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 197.76/197.79 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))
% 197.76/197.79 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2))) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_reduction__pair__lemma,axiom,
% 197.76/197.79 ! [V_S_2,V_R_2,V_P_2,T_b] :
% 197.76/197.79 ( c_FunDef_Oreduction__pair(T_b,V_P_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2)))
% 197.76/197.79 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Int__subset,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Diff__subset,axiom,
% 197.76/197.79 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Field__def,axiom,
% 197.76/197.79 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__map__pair__image,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.79 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Domain__Union,axiom,
% 197.76/197.79 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_the__eq__trivial,axiom,
% 197.76/197.79 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 197.76/197.79
% 197.76/197.79 fof(fact_DomainP__Domain__eq,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 197.76/197.79 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__lenlex,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_DomainE,axiom,
% 197.76/197.79 ! [V_r_2,T_c,V_a_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 197.76/197.79 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_DomainP_Ointros,axiom,
% 197.76/197.79 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 197.76/197.79 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_DomainP_Oequations,axiom,
% 197.76/197.79 ! [V_a1_2,V_r_2,T_c,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 197.76/197.79 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pred__nat__def,axiom,
% 197.76/197.79 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__lex,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__lexn,axiom,
% 197.76/197.79 ! [V_n_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_lex__def,axiom,
% 197.76/197.79 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_lexn_Osimps_I1_J,axiom,
% 197.76/197.79 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__pred__nat,axiom,
% 197.76/197.79 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__same__fst,axiom,
% 197.76/197.79 ! [T_b,V_R_2,T_c,V_P_2] :
% 197.76/197.79 ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.79 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 197.76/197.79 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_P_2,V_R_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__if__measure,axiom,
% 197.76/197.79 ! [T_b,V_g_2,V_f_2,V_P_2] :
% 197.76/197.79 ( ! [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.79 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) )
% 197.76/197.79 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__def,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 197.76/197.79 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__empty,axiom,
% 197.76/197.79 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__accp__iff,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 197.76/197.79 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_accp__wfPD,axiom,
% 197.76/197.79 ! [V_x_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 197.76/197.79 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__subset,axiom,
% 197.76/197.79 ! [V_p_2,V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 197.76/197.79 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__in__rel,axiom,
% 197.76/197.79 ! [V_R_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_R_2)
% 197.76/197.79 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__wf__eq,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 197.76/197.79 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wfP__acyclicP,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_pigeonhole__infinite,axiom,
% 197.76/197.79 ! [V_f_2,T_c,V_A_2,T_b] :
% 197.76/197.79 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.79 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.79 => ? [B_x] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.79 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Abs__Integ__cases,axiom,
% 197.76/197.79 ! [V_x_2] :
% 197.76/197.79 ~ ! [B_y] :
% 197.76/197.79 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 197.76/197.79 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__acyclic,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_acyclic__subset,axiom,
% 197.76/197.79 ! [V_r_2,V_s_2,T_b] :
% 197.76/197.79 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 197.76/197.79 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.79 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 197.76/197.79 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.79 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__acyclic__wf,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 197.76/197.79 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.79 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Nitpick_Owf_H__def,axiom,
% 197.76/197.79 ! [V_r_2,T_b] :
% 197.76/197.79 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 197.76/197.79 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.79 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 197.76/197.79 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_Abs__Integ__induct,axiom,
% 197.76/197.79 ! [V_x_2,V_P_2] :
% 197.76/197.79 ( ! [B_y] :
% 197.76/197.79 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 197.76/197.79 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 197.76/197.79 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 197.76/197.79
% 197.76/197.79 fof(fact_finite__UN__I,axiom,
% 197.76/197.79 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( ! [B_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 197.76/197.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_inj__on__diff__nat,axiom,
% 197.76/197.80 ! [V_k_2,V_N_2] :
% 197.76/197.80 ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 197.76/197.80 => c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_k_2),V_N_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wfP__SUP,axiom,
% 197.76/197.80 ! [T_b,V_r_2,T_c] :
% 197.76/197.80 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 197.76/197.80 => ( ! [B_i,B_j] :
% 197.76/197.80 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 197.76/197.80 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 197.76/197.80 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_mem__splitI2,axiom,
% 197.76/197.80 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 197.76/197.80 ( ! [B_a,B_b] :
% 197.76/197.80 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_mem__splitE,axiom,
% 197.76/197.80 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 197.76/197.80 => ~ ! [B_x,B_y] :
% 197.76/197.80 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_vimage__Times,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Eps__split,axiom,
% 197.76/197.80 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_P_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__eq__id__dest,axiom,
% 197.76/197.80 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 197.76/197.80 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 197.76/197.80 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__id,axiom,
% 197.76/197.80 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_id__o,axiom,
% 197.76/197.80 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_exE__some,axiom,
% 197.76/197.80 ! [T_b,V_c_2,V_P_2] :
% 197.76/197.80 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.80 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_P_2)
% 197.76/197.80 => hBOOL(hAPP(V_P_2,V_c_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_fun__upd__comp,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_someI__ex,axiom,
% 197.76/197.80 ! [T_b,V_P_2] :
% 197.76/197.80 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.80 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_some__eq__ex,axiom,
% 197.76/197.80 ! [T_b,V_P_2] :
% 197.76/197.80 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2)))
% 197.76/197.80 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_some__eq__trivial,axiom,
% 197.76/197.80 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_some__sym__eq__trivial,axiom,
% 197.76/197.80 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_K__record__comp,axiom,
% 197.76/197.80 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_apsnd__compose,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 197.76/197.80 ! [V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_someI,axiom,
% 197.76/197.80 ! [T_b,V_x_2,V_P_2] :
% 197.76/197.80 ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.80 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_b,V_P_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_tfl__some,axiom,
% 197.76/197.80 ! [T_b,B_P] :
% 197.76/197.80 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 197.76/197.80 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__cong,axiom,
% 197.76/197.80 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 197.76/197.80 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))
% 197.76/197.80 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__eq__dest__lhs,axiom,
% 197.76/197.80 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 197.76/197.80 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 197.76/197.80 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_apfst__compose,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__eq__elim,axiom,
% 197.76/197.80 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 197.76/197.80 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 197.76/197.80 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__eq__dest,axiom,
% 197.76/197.80 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 197.76/197.80 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 197.76/197.80 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__apply,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__assoc,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_o__def,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_vimage__compose,axiom,
% 197.76/197.80 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_map__pair_Ocomp,axiom,
% 197.76/197.80 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_map__pair__compose,axiom,
% 197.76/197.80 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_map__pair_Ocompositionality,axiom,
% 197.76/197.80 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__surj,axiom,
% 197.76/197.80 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 197.76/197.80 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.80 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 197.76/197.80 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_image__compose,axiom,
% 197.76/197.80 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_inj__on__imageI2,axiom,
% 197.76/197.80 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 197.76/197.80 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_inj__comp,axiom,
% 197.76/197.80 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 197.76/197.80 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_inj__on__imageI,axiom,
% 197.76/197.80 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 197.76/197.80 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__inj__on,axiom,
% 197.76/197.80 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 197.76/197.80 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__inj__on__iff,axiom,
% 197.76/197.80 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 197.76/197.80 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setsum__reindex,axiom,
% 197.76/197.80 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setprod__reindex__cong,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.80 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 197.76/197.80 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setprod__reindex,axiom,
% 197.76/197.80 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Eps__split__eq,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_split__paired__Eps,axiom,
% 197.76/197.80 ! [V_P_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setsum_Oreindex,axiom,
% 197.76/197.80 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setprod_Oreindex,axiom,
% 197.76/197.80 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_the__inv__into__comp,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 197.76/197.80 => hAPP(c_Fun_Othe__inv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Fun_Othe__inv__into(T_d,T_b,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_fold__image__reindex,axiom,
% 197.76/197.80 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Oab__semigroup__mult(T_d)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 197.76/197.80 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),V_z_2),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Oremove,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__image_Oreindex,axiom,
% 197.76/197.80 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.80 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 197.76/197.80 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_c,T_c,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_c,T_b,T_c,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ounion,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.80 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.80 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__left__comp,axiom,
% 197.76/197.80 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__comp,axiom,
% 197.76/197.80 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_snd__comp__map__pair,axiom,
% 197.76/197.80 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_fst__comp__map__pair,axiom,
% 197.76/197.80 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_UN__o,axiom,
% 197.76/197.80 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__image_Odistrib,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.80 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(V_f_2,hAPP(hAPP(V_F_2,V_g_2),V_A_2)),hAPP(hAPP(V_F_2,V_h_2),V_A_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_split__comp,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__comp_H,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 197.76/197.80 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 197.76/197.80 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Oempty,axiom,
% 197.76/197.80 ! [V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Oeq__fold,axiom,
% 197.76/197.80 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__image_Oeq__fold,axiom,
% 197.76/197.80 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.80 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Oinsert,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Ounion__inter,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding_Oinsert__remove,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Loop__sound__lemma,axiom,
% 197.76/197.80 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] :
% 197.76/197.80 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.76/197.80 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_hoare__derivs_OIf,axiom,
% 197.76/197.80 ! [V_d_2,V_Q_2,V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] :
% 197.76/197.80 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.76/197.80 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.76/197.80 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OCond(V_b_2,V_c_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Loop,axiom,
% 197.76/197.80 ! [V_c_2,V_b_2,V_P_2,V_Ga_2,T_b] :
% 197.76/197.80 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_b_2)),V_c_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 197.76/197.80 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_peek__and__def,axiom,
% 197.76/197.80 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_P_2,V_p_2),V_Z_2),V_s_2))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 197.76/197.80 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setsum__reindex__nonzero,axiom,
% 197.76/197.80 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.80 => ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 197.76/197.80 => ( B_x != B_y
% 197.76/197.80 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 197.76/197.80 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Ounion__idem,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.80 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Oidem__comp,axiom,
% 197.76/197.80 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 197.76/197.80 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Oinsert__idem,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 197.76/197.80 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.80 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_strong__setprod__reindex__cong,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.80 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.80 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wfI__pf,axiom,
% 197.76/197.80 ! [V_R_2,T_b] :
% 197.76/197.80 ( ! [B_A] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 197.76/197.80 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.76/197.80 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Sigma__mono,axiom,
% 197.76/197.80 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_not__acc__down,axiom,
% 197.76/197.80 ! [V_R_2,V_x_2,T_b] :
% 197.76/197.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 197.76/197.80 => ~ ! [B_z] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acc_OaccI,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,T_b] :
% 197.76/197.80 ( ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_max__ext_Osimps,axiom,
% 197.76/197.80 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 197.76/197.80 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 197.76/197.80 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.80 & ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 197.76/197.80 => ? [B_xa] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 197.76/197.80 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 197.76/197.80 ( class_Orderings_Olinorder(T_b)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Max__eqI,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.80 ( class_Orderings_Olinorder(T_b)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => ( ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__no__infinite__down__chainE,axiom,
% 197.76/197.80 ! [V_f_2,V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.80 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_iterate_Osimps,axiom,
% 197.76/197.80 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 197.76/197.80 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.80 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 197.76/197.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.80 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Pair__scomp,axiom,
% 197.76/197.80 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_scomp__scomp,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_scomp__Pair,axiom,
% 197.76/197.80 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_scomp__apply,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_scomp__def,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_scomp__unfold,axiom,
% 197.76/197.80 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setsum__reindex__cong,axiom,
% 197.76/197.80 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_d)
% 197.76/197.80 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.80 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 197.76/197.80 => ( ! [B_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 197.76/197.80 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_setsum__ivl__cong,axiom,
% 197.76/197.80 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 197.76/197.80 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.80 & class_Orderings_Oord(T_b) )
% 197.76/197.80 => ( V_a_2 = V_c_2
% 197.76/197.80 => ( V_b_2 = V_d_2
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 197.76/197.80 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 197.76/197.80 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_less__eq,axiom,
% 197.76/197.80 ! [V_n_2,V_m_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__eq__minimal,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.80 <=> ! [B_Q] :
% 197.76/197.80 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 197.76/197.80 => ? [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 197.76/197.80 & ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__trancl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.80 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_less__than__def,axiom,
% 197.76/197.80 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acyclic__def,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.80 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl_Or__into__trancl,axiom,
% 197.76/197.80 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__subset__Field2,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_r__into__trancl_H,axiom,
% 197.76/197.80 ! [V_r_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__empty,axiom,
% 197.76/197.80 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__domain,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__range,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__trancl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__trans,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__into__trancl2,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_r__r__into__trancl,axiom,
% 197.76/197.80 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__mono,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__unfold,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__subset__Sigma,axiom,
% 197.76/197.80 ! [V_A_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__Int__subset,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__insert,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_reflcl__set__eq,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_r__into__rtrancl,axiom,
% 197.76/197.80 ! [V_r_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 197.76/197.80 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_IdI,axiom,
% 197.76/197.80 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__into__rtrancl,axiom,
% 197.76/197.80 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__trancl__absorb,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__rtrancl__absorb,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_reflcl__trancl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__reflcl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__unfold__left,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__unfold__right,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__empty,axiom,
% 197.76/197.80 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__idemp__self__comp,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_r__comp__rtrancl__eq,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__unfold,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__Int__subset,axiom,
% 197.76/197.80 ! [V_r_2,V_s_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Image__closed__trancl,axiom,
% 197.76/197.80 ! [V_X_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 197.76/197.80 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__subset__rtrancl,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__subset,axiom,
% 197.76/197.80 ! [V_S_2,V_R_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__mono,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__Un__subset,axiom,
% 197.76/197.80 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__reflcl,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__Un__rtrancl,axiom,
% 197.76/197.80 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__reflcl__absorb,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__rtrancl__UnI,axiom,
% 197.76/197.80 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__r__diff__Id,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__trans,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__idemp,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_refl__rtrancl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Range__rtrancl,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Domain__rtrancl,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Image__Id,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_R__O__Id,axiom,
% 197.76/197.80 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Id__O__R,axiom,
% 197.76/197.80 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_pair__in__Id__conv,axiom,
% 197.76/197.80 ! [V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 197.76/197.80 <=> V_a_2 = V_b_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__trancl__trancl,axiom,
% 197.76/197.80 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__rtrancl__trancl,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__into__trancl1,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtranclD,axiom,
% 197.76/197.80 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 => ( V_a_2 = V_b_2
% 197.76/197.80 | ( V_a_2 != V_b_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__into__trancl2,axiom,
% 197.76/197.80 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__eq__or__trancl,axiom,
% 197.76/197.80 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 <=> ( V_x_2 = V_y_2
% 197.76/197.80 | ( V_x_2 != V_y_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Domain__Id,axiom,
% 197.76/197.80 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Range__Id,axiom,
% 197.76/197.80 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_refl__Id,axiom,
% 197.76/197.80 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_pair__leq__def,axiom,
% 197.76/197.80 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Not__Domain__rtrancl,axiom,
% 197.76/197.80 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 197.76/197.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 <=> V_x_2 = V_y_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acc__downwards__aux,axiom,
% 197.76/197.80 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acc__downwards,axiom,
% 197.76/197.80 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__insert,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 197.76/197.80 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 197.76/197.80 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acyclic__insert,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 197.76/197.80 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.80 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_refl__reflcl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Id__def,axiom,
% 197.76/197.80 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_irrefl__diff__Id,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_pred__nat__trancl__eq__le,axiom,
% 197.76/197.80 ! [V_n_2,V_m_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__subset__Sigma__aux,axiom,
% 197.76/197.80 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.80 => ( V_a_2 = V_b_2
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_irrefl__tranclI,axiom,
% 197.76/197.80 ! [V_x_2,V_r_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sequence__trans,axiom,
% 197.76/197.80 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 197.76/197.80 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__Id,axiom,
% 197.76/197.80 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__UNION,axiom,
% 197.76/197.80 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__rel__comp,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__Un,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__Id__on,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Field__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 197.76/197.80 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__inv__image,axiom,
% 197.76/197.80 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__Int,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_refl__on__converse,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.80 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__INTER,axiom,
% 197.76/197.80 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__iff,axiom,
% 197.76/197.80 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converseI,axiom,
% 197.76/197.80 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converseD,axiom,
% 197.76/197.80 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acyclic__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.80 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__converse__trancl,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.80 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_equiv__comp__eq,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.80 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Range__def,axiom,
% 197.76/197.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Domain__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Range__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__converseI,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__converseD,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__converseI,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__converseD,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Image__subset__eq,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_refl__on__comp__subset,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__equivI,axiom,
% 197.76/197.80 ! [V_A_2,V_r_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 197.76/197.80 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 197.76/197.80 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__acyclic__wf__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 197.76/197.80 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.80 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converse__def,axiom,
% 197.76/197.80 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Image__INT__eq,axiom,
% 197.76/197.80 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 197.76/197.80 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 197.76/197.80 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_total__on__diff__Id,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 197.76/197.80 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__Id,axiom,
% 197.76/197.80 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__subset,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 197.76/197.80 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__rel__comp,axiom,
% 197.76/197.80 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 197.76/197.80 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 197.76/197.80 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__Id__on,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_total__on__empty,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_total__on__converse,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.80 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valuedD,axiom,
% 197.76/197.80 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 197.76/197.80 => V_y_2 = V_z_2 ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__def,axiom,
% 197.76/197.80 ! [V_r_2,T_c,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 197.76/197.80 <=> ! [B_x,B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 197.76/197.80 => ! [B_z] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 197.76/197.80 => B_y = B_z ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_total__on__def,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 197.76/197.80 <=> ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.80 => ! [B_xa] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 197.76/197.80 => ( B_x != B_xa
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__confluent,axiom,
% 197.76/197.80 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Image__Int__eq,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 197.76/197.80 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 197.76/197.80 ! [V_R_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_acyclicI,axiom,
% 197.76/197.80 ! [V_r_2,T_b] :
% 197.76/197.80 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 197.76/197.80 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_single__valued__rel__pow,axiom,
% 197.76/197.80 ! [V_n_2,V_R_2,T_b] :
% 197.76/197.80 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 197.76/197.80 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_comp__funpow,axiom,
% 197.76/197.80 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_wf__exp,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,T_b] :
% 197.76/197.80 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 197.76/197.80 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow__mult,axiom,
% 197.76/197.80 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow__swap1,axiom,
% 197.76/197.80 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__1,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__commute,axiom,
% 197.76/197.80 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__imp__rtrancl,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__power,axiom,
% 197.76/197.80 ! [V_R_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_relpow_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__add,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_relpow_Osimps_I1_J,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__0__I,axiom,
% 197.76/197.80 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__0__E,axiom,
% 197.76/197.80 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 197.76/197.80 => V_x_2 = V_y_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__Suc__I2,axiom,
% 197.76/197.80 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__Suc__I,axiom,
% 197.76/197.80 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow__add,axiom,
% 197.76/197.80 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow_Osimps_I1_J,axiom,
% 197.76/197.80 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_trancl__power,axiom,
% 197.76/197.80 ! [V_R_2,V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 197.76/197.80 <=> ? [B_n] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 197.76/197.80 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_funpow__code__def,axiom,
% 197.76/197.80 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__E2,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => V_x_2 != V_z_2 )
% 197.76/197.80 => ~ ! [B_y,B_m] :
% 197.76/197.80 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__E,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => V_x_2 != V_z_2 )
% 197.76/197.80 => ~ ! [B_y,B_m] :
% 197.76/197.80 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__Un__separatorE,axiom,
% 197.76/197.80 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 197.76/197.80 => ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Q_2))
% 197.76/197.80 => B_x = B_y ) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 197.76/197.80 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2)))
% 197.76/197.80 => ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Q_2))
% 197.76/197.80 => B_y = B_x ) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_P_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__Suc__D2,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 197.76/197.80 => ? [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__Suc__E,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 197.76/197.80 => ~ ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__pow__Suc__E2,axiom,
% 197.76/197.80 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 197.76/197.80 => ~ ! [B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_tranclD2,axiom,
% 197.76/197.80 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 197.76/197.80 => ? [B_z] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_tranclD,axiom,
% 197.76/197.80 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 197.76/197.80 => ? [B_z] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_IdE,axiom,
% 197.76/197.80 ! [V_p_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 197.76/197.80 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_transfer__nat__int__set__cong,axiom,
% 197.76/197.80 ! [V_P_H_2,V_P_2] :
% 197.76/197.80 ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 197.76/197.80 => ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.80 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 197.76/197.80 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Int__Collect__mono,axiom,
% 197.76/197.80 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.80 => ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.80 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_b),V_Q_2)))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_converseE,axiom,
% 197.76/197.80 ! [V_r_2,V_yx_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 197.76/197.80 => ~ ! [B_x,B_y] :
% 197.76/197.80 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rel__compE,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 197.76/197.80 => ~ ! [B_x,B_y,B_z] :
% 197.76/197.80 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 197.76/197.80 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 197.76/197.80 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Oof__frac__def,axiom,
% 197.76/197.80 ! [V_q,T_a,T_b] :
% 197.76/197.80 ( ( class_Rings_Oinverse(T_b)
% 197.76/197.80 & class_Rings_Oring__1(T_b) )
% 197.76/197.80 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 197.76/197.80 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 197.76/197.80 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Oless__frac__def,axiom,
% 197.76/197.80 ! [V_r_2,V_q_2,T_b] :
% 197.76/197.80 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 197.76/197.80 ! [V_r_2,V_q_2,T_b] :
% 197.76/197.80 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Odenom__def,axiom,
% 197.76/197.80 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Onum__def,axiom,
% 197.76/197.80 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_internal__split__def,axiom,
% 197.76/197.80 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_bool_Osize_I1_J,axiom,
% 197.76/197.80 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_internal__split__conv,axiom,
% 197.76/197.80 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_bool_Osize_I2_J,axiom,
% 197.76/197.80 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__less__ub,axiom,
% 197.76/197.80 ! [V_u_2,V_f_2] :
% 197.76/197.80 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 197.76/197.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lenlex__def,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_neq__if__length__neq,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_a] :
% 197.76/197.80 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 197.76/197.80 => V_xs != V_ys ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexn__length,axiom,
% 197.76/197.80 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 197.76/197.80 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 197.76/197.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lenlex__conv,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__sublist,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexn_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_impossible__Cons,axiom,
% 197.76/197.80 ! [V_x,V_ys,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 197.76/197.80 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Oinject,axiom,
% 197.76/197.80 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 197.76/197.80 <=> ( V_a_2 = V_a_H_2
% 197.76/197.80 & V_list_2 = V_list_H_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_not__Cons__self2,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_not__Cons__self,axiom,
% 197.76/197.80 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osize_I4_J,axiom,
% 197.76/197.80 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__in__lex,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 197.76/197.80 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 197.76/197.80 | ( V_x_2 = V_y_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__Cons__def,axiom,
% 197.76/197.80 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_pick_Osimps,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a,V_i] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 197.76/197.80 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 197.76/197.80 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_select__weight__cons__zero,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__cons__cons,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 | ( V_a_2 = V_b_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__lex,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osize_I2_J,axiom,
% 197.76/197.80 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__acc__listrel1I,axiom,
% 197.76/197.80 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__mono,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__converse,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 197.76/197.80 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1I2,axiom,
% 197.76/197.80 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 197.76/197.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__eq__len,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__listrel1__converse,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__listrel1__Cons,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 & V_xs_2 = V_ys_2 )
% 197.76/197.80 | ( V_x_2 = V_y_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1I1,axiom,
% 197.76/197.80 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Cons,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__linear,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 197.76/197.80 ( ! [B_a,B_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 197.76/197.80 | B_a = B_b
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 | V_x_2 = V_y_2
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__rtrancl__refl,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__mono,axiom,
% 197.76/197.80 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__eq__len,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__rtrancl__trans,axiom,
% 197.76/197.80 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__subset__listrel,axiom,
% 197.76/197.80 ! [V_r_H_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 197.76/197.80 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel_OCons,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrelp__listrel__eq,axiom,
% 197.76/197.80 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 197.76/197.80 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Cons1,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => ~ ! [B_y,B_ys] :
% 197.76/197.80 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrelp_Oequations_I2_J,axiom,
% 197.76/197.80 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 197.76/197.80 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 197.76/197.80 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrelp_OCons,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 197.76/197.80 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 197.76/197.80 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Cons2,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => ~ ! [B_x,B_xs] :
% 197.76/197.80 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__subset,axiom,
% 197.76/197.80 ! [V_A_2,V_r_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__UNIV,axiom,
% 197.76/197.80 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__mono,axiom,
% 197.76/197.80 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_equiv__listrel,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.80 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__refl__on,axiom,
% 197.76/197.80 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.80 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.80 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__in__lists__iff,axiom,
% 197.76/197.80 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__accD,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__accI,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__iff__nth,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 197.76/197.80 & ! [B_n] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__irreflexive,axiom,
% 197.76/197.80 ! [V_y_2,V_r_2,T_b] :
% 197.76/197.80 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_infinite__UNIV__listI,axiom,
% 197.76/197.80 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__eq__iff__nth__eq,axiom,
% 197.76/197.80 ! [T_b,V_ys_2,V_xs_2] :
% 197.76/197.80 ( V_xs_2 = V_ys_2
% 197.76/197.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 197.76/197.80 & ! [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__Cons__Suc,axiom,
% 197.76/197.80 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__Cons__0,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth_Osimps,axiom,
% 197.76/197.80 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__Cons_H,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a,V_n] :
% 197.76/197.80 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 197.76/197.80 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__Cons__number__of,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a,V_v] :
% 197.76/197.80 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 197.76/197.80 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__take__index__conv,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 197.76/197.80 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 197.76/197.80 | ? [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 197.76/197.80 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__sublist,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__set,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__subset__Cons,axiom,
% 197.76/197.80 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__all,axiom,
% 197.76/197.80 ! [V_n,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__take__subset,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__take__subset__set__take,axiom,
% 197.76/197.80 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__sublist__subset,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__take,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_n,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Suc__Cons,axiom,
% 197.76/197.80 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__ConsD,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 197.76/197.80 => ( V_y_2 = V_x_2
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__sublistD,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__takeD,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_notin__set__sublistI,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__take,axiom,
% 197.76/197.80 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__take,axiom,
% 197.76/197.80 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__upt__eq__take,axiom,
% 197.76/197.80 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_card__length,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_all__set__conv__all__nth,axiom,
% 197.76/197.80 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.80 ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.80 <=> ! [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__size__estimation,axiom,
% 197.76/197.80 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__size__estimation_H,axiom,
% 197.76/197.80 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__lists__conv__set,axiom,
% 197.76/197.80 ! [V_A_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 197.76/197.80 <=> ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__pos__if__in__set,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__conv__nth,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 <=> ? [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__mem,axiom,
% 197.76/197.80 ! [V_xs_2,T_b,V_n_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__eq__set,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__conv__nth,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__lists__length__eq,axiom,
% 197.76/197.80 ! [V_n_2,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_finite__lists__length__le,axiom,
% 197.76/197.80 ! [V_n_2,V_A_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__iff__zip,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 197.76/197.80 & ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__zip,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__zip,axiom,
% 197.76/197.80 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__zip,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__Cons__Cons,axiom,
% 197.76/197.80 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__eq__iff__zip__eq,axiom,
% 197.76/197.80 ! [T_b,V_ys_2,V_xs_2] :
% 197.76/197.80 ( V_xs_2 = V_ys_2
% 197.76/197.80 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 197.76/197.80 & ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__zipE,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 197.76/197.80 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__zip__rightD,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__zip__leftD,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__same,axiom,
% 197.76/197.80 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 & V_a_2 = V_b_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__zip,axiom,
% 197.76/197.80 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_greaterThanLessThan__upto,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__setsum__nth,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_atLeastAtMost__upto,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__upto,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 197.76/197.80 ! [V_ns_2] :
% 197.76/197.80 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 <=> ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 197.76/197.80 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_elem__le__listsum__nat,axiom,
% 197.76/197.80 ! [V_ns,V_k] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__simps_I2_J,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a] :
% 197.76/197.80 ( class_Groups_Omonoid__add(T_a)
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_atLeastLessThan__upto,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_greaterThanAtMost__upto,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nat__list__def,axiom,
% 197.76/197.80 ! [V_l_2] :
% 197.76/197.80 ( c_List_Onat__list(V_l_2)
% 197.76/197.80 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__size__pointwise,axiom,
% 197.76/197.80 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 197.76/197.80 ( ! [B_x] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__update__nat,axiom,
% 197.76/197.80 ! [V_n,V_ns,V_k] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__take,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_n] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__beyond,axiom,
% 197.76/197.80 ! [V_x,V_i,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__id,axiom,
% 197.76/197.80 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__list__update__neq,axiom,
% 197.76/197.80 ! [V_x,V_xs,T_a,V_j,V_i] :
% 197.76/197.80 ( V_i != V_j
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__list__update,axiom,
% 197.76/197.80 ! [V_x,V_xs,T_a,V_k] :
% 197.76/197.80 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 197.76/197.80 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__list__update,axiom,
% 197.76/197.80 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__update,axiom,
% 197.76/197.80 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_update__zip,axiom,
% 197.76/197.80 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__swap,axiom,
% 197.76/197.80 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 197.76/197.80 ( V_i != V_i_H
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__overwrite,axiom,
% 197.76/197.80 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__code_I3_J,axiom,
% 197.76/197.80 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__code_I2_J,axiom,
% 197.76/197.80 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__butlastD,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__update__subsetI,axiom,
% 197.76/197.80 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__update__subset__insert,axiom,
% 197.76/197.80 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__list__update,axiom,
% 197.76/197.80 ! [V_x,V_j,V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => ( ( V_i = V_j
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 197.76/197.80 & ( V_i != V_j
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__same__conv,axiom,
% 197.76/197.80 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 197.76/197.80 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__list__update__eq,axiom,
% 197.76/197.80 ! [V_x,V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__butlast,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_n] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__butlast,axiom,
% 197.76/197.80 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__update__memI,axiom,
% 197.76/197.80 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__conv__take,axiom,
% 197.76/197.80 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1__iff__update,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 <=> ? [B_y,B_n] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__list__update,axiom,
% 197.76/197.80 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__upto,axiom,
% 197.76/197.80 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__take,axiom,
% 197.76/197.80 ! [V_i,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__sublistI,axiom,
% 197.76/197.80 ! [V_I_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__zipI2,axiom,
% 197.76/197.80 ! [V_xs,T_b,V_ys,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__zipI1,axiom,
% 197.76/197.80 ! [V_ys,T_b,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 197.76/197.80 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_card__distinct,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__card,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__conv__nth,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 <=> ! [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => ! [B_j] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => ( B_i != B_j
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__eq__iff__index__eq,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 197.76/197.80 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.80 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nitpick_Ocard_H__def,axiom,
% 197.76/197.80 ! [V_A_2,T_b] :
% 197.76/197.80 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__take__lemma,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_a,V_k] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 197.76/197.80 => ( ! [B_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__remove1__eq,axiom,
% 197.76/197.80 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Cons__number__of,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a,V_v] :
% 197.76/197.80 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 197.76/197.80 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists_ONil,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Nil2,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Nil1,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 197.76/197.80 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__butlast,axiom,
% 197.76/197.80 ! [T_a,V_xs] :
% 197.76/197.80 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.80 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct_Osimps_I1_J,axiom,
% 197.76/197.80 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__remove1,axiom,
% 197.76/197.80 ! [V_x,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast_Osimps_I1_J,axiom,
% 197.76/197.80 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_x,T_a,V_xs] :
% 197.76/197.80 ( ( V_xs = c_List_Olist_ONil(T_a)
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 197.76/197.80 & ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_remove1_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_y,V_x] :
% 197.76/197.80 ( ( V_x = V_y
% 197.76/197.80 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 197.76/197.80 & ( V_x != V_y
% 197.76/197.80 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osimps_I3_J,axiom,
% 197.76/197.80 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upto__empty,axiom,
% 197.76/197.80 ! [V_i,V_j] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 197.76/197.80 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Nil,axiom,
% 197.76/197.80 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__0,axiom,
% 197.76/197.80 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__eq__Nil,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.80 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__nil,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_remove1_Osimps_I1_J,axiom,
% 197.76/197.80 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_remove1__commute,axiom,
% 197.76/197.80 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrelp_ONil,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrelp_Oequations_I1_J,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osize_I1_J,axiom,
% 197.76/197.80 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip_Osimps_I1_J,axiom,
% 197.76/197.80 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__Nil,axiom,
% 197.76/197.80 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__simps_I1_J,axiom,
% 197.76/197.80 ! [T_a] :
% 197.76/197.80 ( class_Groups_Omonoid__add(T_a)
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__0__conv,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osize_I3_J,axiom,
% 197.76/197.80 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__empty,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__empty2,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 197.76/197.80 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__nonempty,axiom,
% 197.76/197.80 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update_Osimps_I1_J,axiom,
% 197.76/197.80 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__code_I1_J,axiom,
% 197.76/197.80 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__remove1,axiom,
% 197.76/197.80 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 197.76/197.80 ( V_a_2 != V_b_2
% 197.76/197.80 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_notin__set__remove1,axiom,
% 197.76/197.80 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_remove1__idem,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__empty,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__remove1__subset,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__greater__0__conv,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.80 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__1__Cons,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_not__listrel1__Nil,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_not__Nil__listrel1,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel_ONil,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__Nil__right,axiom,
% 197.76/197.80 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nil2__notin__lex,axiom,
% 197.76/197.80 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nil__notin__lex,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Cons,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otake(T_b)),V_xs_2)),V_n_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upto_Osimps,axiom,
% 197.76/197.80 ! [V_j,V_i] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.76/197.80 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 197.76/197.80 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__singleton,axiom,
% 197.76/197.80 ! [V_x_2,T_b,V_A_2] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 197.76/197.80 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 197.76/197.80 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lists__empty,axiom,
% 197.76/197.80 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Cons_H,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a,V_n] :
% 197.76/197.80 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 197.76/197.80 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upto__rec__number__of,axiom,
% 197.76/197.80 ! [V_n,V_m] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 197.76/197.80 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 197.76/197.80 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel__Nil,axiom,
% 197.76/197.80 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__Cons__sing__Nil,axiom,
% 197.76/197.80 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__remove1,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upto_Opsimps,axiom,
% 197.76/197.80 ! [V_j_2,V_i_2] :
% 197.76/197.80 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2)))
% 197.76/197.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 197.76/197.80 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 197.76/197.80 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_select,axiom,
% 197.76/197.80 ! [V_s_2,T_b,V_xs_2] :
% 197.76/197.80 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listset_Osimps_I1_J,axiom,
% 197.76/197.80 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__Cons,axiom,
% 197.76/197.80 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osimps_I5_J,axiom,
% 197.76/197.80 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list_Osimps_I4_J,axiom,
% 197.76/197.80 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listset_Osimps_I2_J,axiom,
% 197.76/197.80 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__Cons1,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sorted__list__of__set__remove,axiom,
% 197.76/197.80 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.80 ( class_Orderings_Olinorder(T_b)
% 197.76/197.80 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.80 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upto_Opinduct,axiom,
% 197.76/197.80 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.80 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 197.76/197.80 => ( ! [B_i,B_j] :
% 197.76/197.80 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 197.76/197.80 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 197.76/197.80 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sorted__list__of__set__empty,axiom,
% 197.76/197.80 ! [T_b] :
% 197.76/197.80 ( class_Orderings_Olinorder(T_b)
% 197.76/197.80 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_anamorph_Osimps,axiom,
% 197.76/197.80 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 197.76/197.80 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.80 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 197.76/197.80 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.80 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__Cons,axiom,
% 197.76/197.80 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append1__eq__conv,axiom,
% 197.76/197.80 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 197.76/197.80 <=> ( V_xs_2 = V_ys_2
% 197.76/197.80 & V_x_2 = V_y_2 ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__eq__append__conv,axiom,
% 197.76/197.80 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 197.76/197.80 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 197.76/197.80 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 197.76/197.80 | ? [B_ys_H] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 197.76/197.80 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__eq__Cons__conv,axiom,
% 197.76/197.80 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 197.76/197.80 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 197.76/197.80 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 197.76/197.80 | ? [B_ys_H] :
% 197.76/197.80 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 197.76/197.80 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Cons__eq__appendI,axiom,
% 197.76/197.80 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 197.76/197.80 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 197.76/197.80 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__Cons,axiom,
% 197.76/197.80 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__in__lists__conv,axiom,
% 197.76/197.80 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__assoc,axiom,
% 197.76/197.80 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__eq__append__conv2,axiom,
% 197.76/197.80 ! [V_tsa_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_tsa_2)
% 197.76/197.80 <=> ? [B_us] :
% 197.76/197.80 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 197.76/197.80 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_tsa_2 )
% 197.76/197.80 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 197.76/197.80 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_tsa_2) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_same__append__eq,axiom,
% 197.76/197.80 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 197.76/197.80 <=> V_ys_2 = V_zs_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__same__eq,axiom,
% 197.76/197.80 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 197.76/197.80 <=> V_ys_2 = V_zs_2 ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__eq__appendI,axiom,
% 197.76/197.80 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 197.76/197.80 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 197.76/197.80 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listsum__append,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_a] :
% 197.76/197.80 ( class_Groups_Omonoid__add(T_a)
% 197.76/197.80 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__append,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_zip__append,axiom,
% 197.76/197.80 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 197.76/197.80 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 197.76/197.80 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 197.76/197.80 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__append,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_eq__Nil__appendI,axiom,
% 197.76/197.80 ! [T_a,V_ys,V_xs] :
% 197.76/197.80 ( V_xs = V_ys
% 197.76/197.80 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__self__conv2,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__self__conv,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 197.76/197.80 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__is__Nil__conv,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 197.76/197.80 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 197.76/197.80 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_self__append__conv2,axiom,
% 197.76/197.80 ! [V_xs_2,T_b,V_ys_2] :
% 197.76/197.80 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_self__append__conv,axiom,
% 197.76/197.80 ! [V_ys_2,T_b,V_xs_2] :
% 197.76/197.80 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 197.76/197.80 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__Nil2,axiom,
% 197.76/197.80 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_Nil__is__append__conv,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 197.76/197.80 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 197.76/197.80 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__Nil,axiom,
% 197.76/197.80 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__append,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_ys] :
% 197.76/197.80 ( ( V_ys = c_List_Olist_ONil(T_a)
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 197.76/197.80 & ( V_ys != c_List_Olist_ONil(T_a)
% 197.76/197.80 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__append__length,axiom,
% 197.76/197.80 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__append__length__plus,axiom,
% 197.76/197.80 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__append,axiom,
% 197.76/197.80 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__append1,axiom,
% 197.76/197.80 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__length,axiom,
% 197.76/197.80 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_remove1__append,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.80 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__butlast__appendI,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 197.76/197.80 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__snoc,axiom,
% 197.76/197.80 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__listrel1I,axiom,
% 197.76/197.80 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 & V_us_2 = V_vs_2 )
% 197.76/197.80 | ( V_xs_2 = V_ys_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__append__leftI,axiom,
% 197.76/197.80 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__append,axiom,
% 197.76/197.80 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 197.76/197.80 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.80 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 197.76/197.80 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__append,axiom,
% 197.76/197.80 ! [V_ys,V_xs,T_a,V_n] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_list__update__append,axiom,
% 197.76/197.80 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 197.76/197.80 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 197.76/197.80 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_sublist__append,axiom,
% 197.76/197.80 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1I,axiom,
% 197.76/197.80 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 197.76/197.80 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 197.76/197.80 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__append__left__rightI,axiom,
% 197.76/197.80 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__Suc__conv__app__nth,axiom,
% 197.76/197.80 ! [V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 197.76/197.80 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 & V_x_2 = V_y_2 )
% 197.76/197.80 | ( V_xs_2 = V_ys_2
% 197.76/197.80 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_listrel1E,axiom,
% 197.76/197.80 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 197.76/197.80 => ~ ! [B_x,B_y] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 197.76/197.80 => ! [B_us,B_vs] :
% 197.76/197.80 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 197.76/197.80 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_lexord__append__leftD,axiom,
% 197.76/197.80 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.80 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rotate1__def,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_upd__conv__take__nth__drop,axiom,
% 197.76/197.80 ! [V_a,V_xs,T_a,V_i] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.80 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_append__take__drop__id,axiom,
% 197.76/197.80 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__Suc__Cons,axiom,
% 197.76/197.80 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__1__Cons,axiom,
% 197.76/197.80 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_nth__via__drop,axiom,
% 197.76/197.80 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 197.76/197.80 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct1__rotate,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 197.76/197.80 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_distinct__drop,axiom,
% 197.76/197.80 ! [V_i,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.80 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__butlast,axiom,
% 197.76/197.80 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_butlast__drop,axiom,
% 197.76/197.80 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__take,axiom,
% 197.76/197.80 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_take__drop,axiom,
% 197.76/197.80 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__0,axiom,
% 197.76/197.80 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__drop,axiom,
% 197.76/197.80 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__zip,axiom,
% 197.76/197.80 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__rotate1,axiom,
% 197.76/197.80 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_length__drop,axiom,
% 197.76/197.80 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__rotate1,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_in__set__dropD,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__drop__subset,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_rotate1__is__Nil__conv,axiom,
% 197.76/197.80 ! [V_xs_2,T_b] :
% 197.76/197.80 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.80 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__Nil,axiom,
% 197.76/197.80 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_set__drop__subset__set__drop,axiom,
% 197.76/197.80 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 197.76/197.80 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__all,axiom,
% 197.76/197.80 ! [V_n,V_xs,T_a] :
% 197.76/197.80 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 197.76/197.80 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__eq__Nil,axiom,
% 197.76/197.80 ! [V_xs_2,V_n_2,T_b] :
% 197.76/197.80 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.80 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 197.76/197.80
% 197.76/197.80 fof(fact_drop__append,axiom,
% 197.76/197.80 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_append__eq__conv__conj,axiom,
% 197.76/197.81 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 197.76/197.81 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 197.76/197.81 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__Cons,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__Cons_H,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a,V_n] :
% 197.76/197.81 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 197.76/197.81 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__drop,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_i,V_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_append__eq__append__conv__if,axiom,
% 197.76/197.81 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 197.76/197.81 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 197.76/197.81 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 197.76/197.81 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 197.76/197.81 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 197.76/197.81 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__drop_H,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__simps,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_b,T_a] :
% 197.76/197.81 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 197.76/197.81 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__Cons__number__of,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a,V_v] :
% 197.76/197.81 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 197.76/197.81 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__add,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate1__length01,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 197.76/197.81 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__append1,axiom,
% 197.76/197.81 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__append2,axiom,
% 197.76/197.81 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_id__take__nth__drop,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__hd__drop,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__drop__conv__nth,axiom,
% 197.76/197.81 ! [V_n,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd_Osimps,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__append,axiom,
% 197.76/197.81 ! [V_ys,T_a,V_xs] :
% 197.76/197.81 ( ( V_xs = c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 197.76/197.81 & ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__append2,axiom,
% 197.76/197.81 ! [V_ys,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__in__set,axiom,
% 197.76/197.81 ! [T_b,V_xs_2] :
% 197.76/197.81 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__conv__nth,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate1__hd__tl,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__rotate__conv__nth,axiom,
% 197.76/197.81 ! [V_n,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl__drop,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__tl,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__rotate,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 197.76/197.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__tl,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__rotate,axiom,
% 197.76/197.81 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate0,axiom,
% 197.76/197.81 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__add,axiom,
% 197.76/197.81 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__rotate,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__rotate,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__is__Nil__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate1__rotate__swap,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__def,axiom,
% 197.76/197.81 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl__append2,axiom,
% 197.76/197.81 ! [V_ys,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__tl,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__conv__mod,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__Suc,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__Suc,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__id,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_n] :
% 197.76/197.81 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__length01,axiom,
% 197.76/197.81 ! [V_n,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 197.76/197.81 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__tl,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_tl__take,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__Suc,axiom,
% 197.76/197.81 ! [V_n,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__drop__take,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_fold1__set,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 197.76/197.81 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_lexord__append__rightI,axiom,
% 197.76/197.81 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 197.76/197.81 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__Nil,axiom,
% 197.76/197.81 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_start__le__sum,axiom,
% 197.76/197.81 ! [V_ns_2,V_n_2,V_m_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__absorb0,axiom,
% 197.76/197.81 ! [V_zs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_b)
% 197.76/197.81 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__assoc,axiom,
% 197.76/197.81 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Groups_Osemigroup__add(T_b)
% 197.76/197.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__Cons,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__foldl,axiom,
% 197.76/197.81 ! [T_b] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_b)
% 197.76/197.81 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sum__eq__0__conv,axiom,
% 197.76/197.81 ! [V_ns_2,V_m_2] :
% 197.76/197.81 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 197.76/197.81 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 197.76/197.81 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 197.76/197.81 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Sup__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.81 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Inf__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.81 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Sup__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Lattices_Olattice(T_b)
% 197.76/197.81 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Inf__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Lattices_Olattice(T_b)
% 197.76/197.81 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Min__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Max__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_SUPR__set__fold,axiom,
% 197.76/197.81 ! [V_f_2,V_xs_2,T_c,T_b] :
% 197.76/197.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.81 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_INFI__set__fold,axiom,
% 197.76/197.81 ! [V_f_2,V_xs_2,T_c,T_b] :
% 197.76/197.81 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.81 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_elem__le__sum,axiom,
% 197.76/197.81 ! [V_ns_2,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__list__of__set__insert,axiom,
% 197.76/197.81 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.81 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_lexord__Nil__left,axiom,
% 197.76/197.81 ! [V_r_2,V_y_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.81 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__key_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_x_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__key_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__left__comm,axiom,
% 197.76/197.81 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_fun__left__comm__insort,axiom,
% 197.76/197.81 ! [T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__key__left__comm,axiom,
% 197.76/197.81 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remove1__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__not__Nil,axiom,
% 197.76/197.81 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 197.76/197.81 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__insert__insort__key,axiom,
% 197.76/197.81 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 197.76/197.81 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__insert__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__insort__insert,axiom,
% 197.76/197.81 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__insert__triv,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__insort__insert,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__insert__key__triv,axiom,
% 197.76/197.81 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 197.76/197.81 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__list__update,axiom,
% 197.76/197.81 ! [V_x,V_k,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 197.76/197.81 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__conv__nth,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__ConsL,axiom,
% 197.76/197.81 ! [V_x,T_a,V_xs] :
% 197.76/197.81 ( V_xs = c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__ConsR,axiom,
% 197.76/197.81 ! [V_x,T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last_Osimps,axiom,
% 197.76/197.81 ! [V_x,T_a,V_xs] :
% 197.76/197.81 ( ( V_xs = c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 197.76/197.81 & ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__appendL,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_ys] :
% 197.76/197.81 ( V_ys = c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__appendR,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_ys] :
% 197.76/197.81 ( V_ys != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__append,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_ys] :
% 197.76/197.81 ( ( V_ys = c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 197.76/197.81 & ( V_ys != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__in__set,axiom,
% 197.76/197.81 ! [T_b,V_as_2] :
% 197.76/197.81 ( V_as_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__snoc,axiom,
% 197.76/197.81 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__drop,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_snoc__eq__iff__butlast,axiom,
% 197.76/197.81 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 197.76/197.81 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 197.76/197.81 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_append__butlast__last__id,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_lists_Osimps,axiom,
% 197.76/197.81 ! [V_A_2,V_a_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 197.76/197.81 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 197.76/197.81 | ? [B_a,B_l] :
% 197.76/197.81 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 197.76/197.81 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 197.76/197.81 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_select__weigth__select,axiom,
% 197.76/197.81 ! [T_b,V_xs_2] :
% 197.76/197.81 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__mapI,axiom,
% 197.76/197.81 ! [V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.81 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__map,axiom,
% 197.76/197.81 ! [V_f_2,T_c,T_b,V_xs_2] :
% 197.76/197.81 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__tl,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__map__map,axiom,
% 197.76/197.81 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__map1,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__zip__map,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__zip__map2,axiom,
% 197.76/197.81 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__map2,axiom,
% 197.76/197.81 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__same__conv__map,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Nil__is__map__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__is__Nil__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__update,axiom,
% 197.76/197.81 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__eq__conv,axiom,
% 197.76/197.81 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 197.76/197.81 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__eq__imp__length__eq,axiom,
% 197.76/197.81 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__addf,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__0,axiom,
% 197.76/197.81 ! [V_xs_2,T_c,T_b] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__const__mult,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 197.76/197.81 ( class_Rings_Osemiring__0(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__mult__const,axiom,
% 197.76/197.81 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Rings_Osemiring__0(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__subtractf,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__injective,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 197.76/197.81 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.81 => V_xs_2 = V_ys_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__map__eq__map,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.81 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 197.76/197.81 <=> V_xs_2 = V_ys_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__ident,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__butlast,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__map,axiom,
% 197.76/197.81 ! [V_f_2,T_c,T_b,V_xs_2] :
% 197.76/197.81 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Omap_Oidentity,axiom,
% 197.76/197.81 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Omap_Oid,axiom,
% 197.76/197.81 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Omap_Ocompositionality,axiom,
% 197.76/197.81 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__comp__map,axiom,
% 197.76/197.81 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Omap_Ocomp,axiom,
% 197.76/197.81 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__size__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__inj__on,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 197.76/197.81 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 197.76/197.81 => V_xs_2 = V_ys_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__on__map__eq__map,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 197.76/197.81 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 197.76/197.81 <=> V_xs_2 = V_ys_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__map,axiom,
% 197.76/197.81 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__fun__upd,axiom,
% 197.76/197.81 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 197.76/197.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 197.76/197.81 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 197.76/197.81 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__abs,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_uminus__listsum__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Groups_Oab__group__add(T_b)
% 197.76/197.81 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__on__mapI,axiom,
% 197.76/197.81 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 197.76/197.81 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__map,axiom,
% 197.76/197.81 ! [V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 197.76/197.81 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__mapD,axiom,
% 197.76/197.81 ! [V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 197.76/197.81 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 197.76/197.81 ! [V_f_2,V_xs_2,T_b,T_c] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__triv,axiom,
% 197.76/197.81 ! [V_xs_2,V_r_2,T_c,T_b] :
% 197.76/197.81 ( class_Rings_Osemiring__1(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__map__remove1,axiom,
% 197.76/197.81 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 197.76/197.81 ! [V_f_2,V_A_2,T_b,T_c] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.81 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.81 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.81 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pick__same,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_l_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zero__code__numeral__def,axiom,
% 197.76/197.81 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_times__code__numeral__code,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] :
% 197.76/197.81 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 197.76/197.81 <=> V_n_2 = V_m_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 197.76/197.81 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_one__code__numeral__def,axiom,
% 197.76/197.81 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_less__code__numeral__code,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 197.76/197.81 ! [V_y_2,V_x_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.81 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 197.76/197.81 <=> V_x_2 = V_y_2 ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__fst__zip,axiom,
% 197.76/197.81 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__snd__zip,axiom,
% 197.76/197.81 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_number__of__code__numeral__def,axiom,
% 197.76/197.81 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__map__fst__snd,axiom,
% 197.76/197.81 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_plus__code__numeral__code,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_less__eq__code__numeral__code,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_subtract__code__numeral__code,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pick__member,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_i_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__eq__conv,axiom,
% 197.76/197.81 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 197.76/197.81 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 197.76/197.81 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__size__conv__listsum,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_code__numeral__not__eq__zero,axiom,
% 197.76/197.81 ! [V_i_2] :
% 197.76/197.81 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 197.76/197.81 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 197.76/197.81 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_select__weight__member,axiom,
% 197.76/197.81 ! [V_s_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_select__weight__def,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_select__def,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__mono,axiom,
% 197.76/197.81 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 197.76/197.81 ( ( class_Groups_Omonoid__add(T_c)
% 197.76/197.81 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of__of__nat,axiom,
% 197.76/197.81 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 197.76/197.81
% 197.76/197.81 fof(fact_of__nat__nat__of,axiom,
% 197.76/197.81 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of__inverse,axiom,
% 197.76/197.81 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 197.76/197.81
% 197.76/197.81 fof(fact_times__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_code__numeral_Onat__of__inject,axiom,
% 197.76/197.81 ! [V_y_2,V_x_2] :
% 197.76/197.81 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 197.76/197.81 <=> V_x_2 = V_y_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 197.76/197.81 ! [V_l_2,V_k_2] :
% 197.76/197.81 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 197.76/197.81 <=> V_k_2 = V_l_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_type__definition__code__numeral,axiom,
% 197.76/197.81 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_less__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of,axiom,
% 197.76/197.81 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of__number,axiom,
% 197.76/197.81 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_int__of__def,axiom,
% 197.76/197.81 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_less__eq__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of__code,axiom,
% 197.76/197.81 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nat__of__aux__def,axiom,
% 197.76/197.81 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Suc__code__numeral__def,axiom,
% 197.76/197.81 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_minus__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_of__nat__inverse,axiom,
% 197.76/197.81 ! [V_y_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.81 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_plus__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_div__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_mod__code__numeral__def,axiom,
% 197.76/197.81 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_code__numeral__decr,axiom,
% 197.76/197.81 ! [V_k] :
% 197.76/197.81 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 197.76/197.81 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition__set,axiom,
% 197.76/197.81 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 197.76/197.81 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition__P,axiom,
% 197.76/197.81 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Opartition(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_P_2,T_b] : c_List_Opartition(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_P_2,V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_lists__IntI,axiom,
% 197.76/197.81 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 197.76/197.81 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_lists__Int__eq,axiom,
% 197.76/197.81 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp_ONil,axiom,
% 197.76/197.81 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp_Oequations_I1_J,axiom,
% 197.76/197.81 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__listsp__conv__set,axiom,
% 197.76/197.81 ! [V_xs_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp__conj__eq,axiom,
% 197.76/197.81 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 197.76/197.81 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 197.76/197.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp__infI,axiom,
% 197.76/197.81 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp__inf__eq,axiom,
% 197.76/197.81 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp_Oequations_I2_J,axiom,
% 197.76/197.81 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 197.76/197.81 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 197.76/197.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_append__in__listsp__conv,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 197.76/197.81 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 197.76/197.81 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp__mono,axiom,
% 197.76/197.81 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsp__lists__eq,axiom,
% 197.76/197.81 ! [V_x_2,V_A_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 197.76/197.81 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_product_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__def,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__map1,axiom,
% 197.76/197.81 ! [V_bs_2,V_as_2,V_f_2,T_d,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 197.76/197.81 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__map2,axiom,
% 197.76/197.81 ! [V_bs_2,V_f_2,T_d,V_as_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 197.76/197.81 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__dropI,axiom,
% 197.76/197.81 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_as_2,V_bs_2)
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_bs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__appendI,axiom,
% 197.76/197.81 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2)
% 197.76/197.81 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_c_2,V_d_2)
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__append,axiom,
% 197.76/197.81 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 => ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 197.76/197.81 <=> ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 & c_List_Olist__all2(T_b,T_c,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__Cons,axiom,
% 197.76/197.81 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 197.76/197.81 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 197.76/197.81 & c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__takeI,axiom,
% 197.76/197.81 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_ys_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__eq,axiom,
% 197.76/197.81 ! [T_b,V_ys_2,V_xs_2] :
% 197.76/197.81 ( V_xs_2 = V_ys_2
% 197.76/197.81 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__lengthD,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__Nil2,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,c_List_Olist_ONil(T_c))
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__Nil,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,c_List_Olist_ONil(T_b),V_ys_2)
% 197.76/197.81 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_product_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__conv__all__nth,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 197.76/197.81 & ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__nthD,axiom,
% 197.76/197.81 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__nthD2,axiom,
% 197.76/197.81 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__update__cong,axiom,
% 197.76/197.81 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_c,V_xs_2,T_b,V_i_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__update__cong2,axiom,
% 197.76/197.81 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__product,axiom,
% 197.76/197.81 ! [V_ys,T_b,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_product__list__set,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublists__powset,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__sublists,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublists_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublists_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__set__sublists,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__n__lists,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_enum__the__def,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : c_Enum_Oenum__the(T_b,V_P_2) = c_HOL_OThe(T_b,V_P_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__n__lists,axiom,
% 197.76/197.81 ! [V_n,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_n__lists_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_n__lists__Nil,axiom,
% 197.76/197.81 ! [T_a,V_n] :
% 197.76/197.81 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) )
% 197.76/197.81 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__n__lists,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_On__lists(T_a,V_n,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__n__lists__elem,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))))
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2I,axiom,
% 197.76/197.81 ! [V_P_2,V_b_2,V_a_2,T_c,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_P_2),B_x)) )
% 197.76/197.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_all__nth__imp__all__set,axiom,
% 197.76/197.81 ! [V_x_2,V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 197.76/197.81 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 197.76/197.81 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__removeAll__inj__on,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__remdups,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__remdups__leq,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__id__iff__distinct,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 197.76/197.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__removeAll,axiom,
% 197.76/197.81 ! [V_x,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__remdups__id,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__remdups,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__remdups__eq,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 197.76/197.81 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__remdups,axiom,
% 197.76/197.81 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__eq__nil__right__iff,axiom,
% 197.76/197.81 ! [V_x_2,T_b] :
% 197.76/197.81 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 197.76/197.81 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__eq__nil__iff,axiom,
% 197.76/197.81 ! [V_x_2,T_b] :
% 197.76/197.81 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_y,V_x] :
% 197.76/197.81 ( ( V_x = V_y
% 197.76/197.81 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) )
% 197.76/197.81 & ( V_x != V_y
% 197.76/197.81 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll__append,axiom,
% 197.76/197.81 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__map__remdups,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remove1__remdups,axiom,
% 197.76/197.81 ! [V_x,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll__id,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__remove1__removeAll,axiom,
% 197.76/197.81 ! [V_x,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__remdups__card__conv,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__removeAll__inj,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__removeAll,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__remdups__concat,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sort__key__simps_I1_J,axiom,
% 197.76/197.81 ! [V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__conv__concat,axiom,
% 197.76/197.81 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__conv__foldl,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__sort,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__sort,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__sort,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 197.76/197.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Nil__eq__concat__conv,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] :
% 197.76/197.81 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 197.76/197.81 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__eq__Nil__conv,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] :
% 197.76/197.81 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 197.76/197.81 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__concat,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__concat,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__concat,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sort__key__simps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__append,axiom,
% 197.76/197.81 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sort__foldl__insort,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__eq__concat__iff,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 197.76/197.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 197.76/197.81 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 197.76/197.81 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__injective,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 197.76/197.81 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 197.76/197.81 => V_xs_2 = V_ys_2 ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__map__singleton,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_n__lists_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Osimps_I3_J,axiom,
% 197.76/197.81 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__aux__filter__head,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__concat,axiom,
% 197.76/197.81 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__sort,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,V_P_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__filter,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__is__subset,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__id__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = V_xs_2
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__filter__le,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sum__length__filter__compl,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__filter,axiom,
% 197.76/197.81 ! [V_xs_2,V_Q_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remove1__filter__not,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__remove1,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_Q_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Q_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Q_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__insort__triv,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,V_x_2,V_P_2,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition__filter1,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_b] : hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__empty__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll__filter__not,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_remdups__filter,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_removeAll__filter__not__eq,axiom,
% 197.76/197.81 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition__filter2,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_P_2)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__transpose,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_i_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__map__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__filter,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_P_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__filter__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__filter__less,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_partition__filter__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__minus__filter__out,axiom,
% 197.76/197.81 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__in__sublist,axiom,
% 197.76/197.81 ! [V_s_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__empty,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__filter__conv__card,axiom,
% 197.76/197.81 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__aux__filter__tail,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Opsimps_I3_J,axiom,
% 197.76/197.81 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 197.76/197.81 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Opsimps_I2_J,axiom,
% 197.76/197.81 ! [V_xss_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 197.76/197.81 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublist__shift__lemma__Suc,axiom,
% 197.76/197.81 ! [V_is_2,V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_select__weigth__drop__zero,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pick__drop__zero,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose_Opsimps_I1_J,axiom,
% 197.76/197.81 ! [T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 197.76/197.81 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__max__length,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__aux__max,axiom,
% 197.76/197.81 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr__append,axiom,
% 197.76/197.81 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr__conv__foldl,axiom,
% 197.76/197.81 ! [V_a_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Groups_Oab__semigroup__add(T_b)
% 197.76/197.81 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr__map,axiom,
% 197.76/197.81 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__foldr1__lemma,axiom,
% 197.76/197.81 ! [V_xs_2,V_a_2,T_b] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__foldr1,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__transpose,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublist__def,axiom,
% 197.76/197.81 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sublist__shift__lemma,axiom,
% 197.76/197.81 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__upt,axiom,
% 197.76/197.81 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_atLeastLessThan__upt,axiom,
% 197.76/197.81 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__Suc__append,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__Suc,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__add__eq__append,axiom,
% 197.76/197.81 ! [V_k,V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__rec,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__conv__Cons,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__conv__Nil,axiom,
% 197.76/197.81 ! [V_i,V_j] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 197.76/197.81 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__eq__Nil__conv,axiom,
% 197.76/197.81 ! [V_j_2,V_i_2] :
% 197.76/197.81 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 197.76/197.81 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.81 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__0,axiom,
% 197.76/197.81 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_take__upt,axiom,
% 197.76/197.81 ! [V_n,V_m,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 197.76/197.81 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__list__of__set__range,axiom,
% 197.76/197.81 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__upt,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_drop__upt,axiom,
% 197.76/197.81 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__upt,axiom,
% 197.76/197.81 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__upt,axiom,
% 197.76/197.81 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__rec__number__of,axiom,
% 197.76/197.81 ! [V_n,V_m] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 197.76/197.81 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 197.76/197.81 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_upt__eq__Cons__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 197.76/197.81 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 197.76/197.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 197.76/197.81 & V_i_2 = V_x_2
% 197.76/197.81 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__upt,axiom,
% 197.76/197.81 ! [V_j,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__Suc__upt,axiom,
% 197.76/197.81 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_atLeastAtMost__upt,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_atLeast__upt,axiom,
% 197.76/197.81 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__upt,axiom,
% 197.76/197.81 ! [V_j,V_k,V_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_greaterThanAtMost__upt,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_greaterThanLessThan__upt,axiom,
% 197.76/197.81 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_atMost__upto,axiom,
% 197.76/197.81 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__nth,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 197.76/197.81 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.81 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 197.76/197.81 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_b)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__map__upt,axiom,
% 197.76/197.81 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__rectangle,axiom,
% 197.76/197.81 ! [V_n_2,T_b,V_xs_2] :
% 197.76/197.81 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 197.76/197.81 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.81 => ( ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 197.76/197.81 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__key__remove1,axiom,
% 197.76/197.81 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 197.76/197.81 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted_ONil,axiom,
% 197.76/197.81 ! [T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__single,axiom,
% 197.76/197.81 ! [V_x,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__upt,axiom,
% 197.76/197.81 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__sort,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__insort__insert,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__drop,axiom,
% 197.76/197.81 ! [V_n,V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__upto,axiom,
% 197.76/197.81 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__take,axiom,
% 197.76/197.81 ! [V_n,V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__remove1,axiom,
% 197.76/197.81 ! [V_a,V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__tl,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__insort,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 197.76/197.81 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__butlast,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted_Oequations_I1_J,axiom,
% 197.76/197.81 ! [T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__many__eq,axiom,
% 197.76/197.81 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 197.76/197.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__many,axiom,
% 197.76/197.81 ! [V_zs,V_y,V_x,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__remdups,axiom,
% 197.76/197.81 ! [V_l,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__distinct__set__unique,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 197.76/197.81 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 197.76/197.81 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__sort__key,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__insort__insert__key,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__map__remove1,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__insort__key,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 197.76/197.81 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__filter,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__map__same,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__same,axiom,
% 197.76/197.81 ! [V_xs_2,V_g_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__Cons,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 197.76/197.81 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 197.76/197.81 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ! [B_xa] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__insort,axiom,
% 197.76/197.81 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 197.76/197.81 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_c,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_P_2),V_xs_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted_Oequations_I2_J,axiom,
% 197.76/197.81 ! [V_a1_2,V_a2_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 197.76/197.81 <=> ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__list__of__set,axiom,
% 197.76/197.81 ! [V_A_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.81 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 197.76/197.81 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__remove1,axiom,
% 197.76/197.81 ! [V_xs_2,V_a_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__equals__nth__mono,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 <=> ! [B_j] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__nth__mono,axiom,
% 197.76/197.81 ! [V_j,V_i,V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_map__sorted__distinct__set__unique,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 197.76/197.81 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 197.76/197.81 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__column,axiom,
% 197.76/197.81 ! [V_i_2,V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__nth__transpose__sorted,axiom,
% 197.76/197.81 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_inj__on__rev,axiom,
% 197.76/197.81 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__rev,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 197.76/197.81 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev_Osimps_I1_J,axiom,
% 197.76/197.81 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Nil__is__rev__conv,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__is__Nil__conv,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__singleton__conv,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 197.76/197.81 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_singleton__rev__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 197.76/197.81 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__append,axiom,
% 197.76/197.81 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__concat,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__filter,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__rev,axiom,
% 197.76/197.81 ! [V_ys,T_b,V_xs,T_a] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 197.76/197.81 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__rev,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__rev1,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 197.76/197.81 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__rev,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] :
% 197.76/197.81 ( c_List_Olist__all2(T_b,T_c,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 197.76/197.81 <=> c_List_Olist__all2(T_b,T_c,V_P_2,V_xs_2,V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__is__rev__conv,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 197.76/197.81 <=> V_xs_2 = V_ys_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__swap,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 197.76/197.81 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__rev__ident,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__rev,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( class_Groups_Ocomm__monoid__add(T_a)
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__rev,axiom,
% 197.76/197.81 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr__foldl,axiom,
% 197.76/197.81 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__foldr,axiom,
% 197.76/197.81 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__eq__Cons__iff,axiom,
% 197.76/197.81 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 197.76/197.81 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_last__rev,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__rev,axiom,
% 197.76/197.81 ! [T_a,V_xs] :
% 197.76/197.81 ( V_xs != c_List_Olist_ONil(T_a)
% 197.76/197.81 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__transpose,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__foldl__cons,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__take,axiom,
% 197.76/197.81 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__drop,axiom,
% 197.76/197.81 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rotate__rev,axiom,
% 197.76/197.81 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__nth,axiom,
% 197.76/197.81 ! [V_xs,T_a,V_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_rev__update,axiom,
% 197.76/197.81 ! [V_y,V_xs,T_a,V_k] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__rev__nth__mono,axiom,
% 197.76/197.81 ! [V_j,V_i,V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldr__max__sorted,axiom,
% 197.76/197.81 ! [V_y_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 197.76/197.81 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 197.76/197.81 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 197.76/197.81 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__transpose__sorted,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 197.76/197.81 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__column__length,axiom,
% 197.76/197.81 ! [V_i_2,V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transpose__transpose,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 197.76/197.81 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 197.76/197.81 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__takeWhile,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__takeWhile__le,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__eq__all__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = V_xs_2
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_set__takeWhileD,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__takeWhile__snd,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__takeWhile__fst,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_P_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__tail,axiom,
% 197.76/197.81 ! [V_l_2,V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__eq__take,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__takeWhile,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_return__list__def,axiom,
% 197.76/197.81 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__append1,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_P_2,V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__nth,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_nth__length__takeWhile,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__not__last,axiom,
% 197.76/197.81 ! [T_b,V_xs_2] :
% 197.76/197.81 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 197.76/197.81 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 197.76/197.81 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 197.76/197.81 ! [V_l] :
% 197.76/197.81 ( c_List_Onat__list(V_l)
% 197.76/197.81 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 197.76/197.81 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_embed__list__def,axiom,
% 197.76/197.81 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__neq__rev,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__neq__rev,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__dropWhile__id,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),c_List_OdropWhile(T_b,V_P_2,V_xs_2)) = V_xs_2 ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__dropWhile,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_P_2,V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__dropWhile__le,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_x_2,V_P_2] :
% 197.76/197.81 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_P_2,V_xs_2) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__dropWhile,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_hd__dropWhile,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__map,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_P_2),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__append1,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 197.76/197.81 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 197.76/197.81 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 197.76/197.81 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__eq__drop,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] : c_List_OdropWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2))),V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__nth,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b,V_j_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 197.76/197.81 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_listsum__map__filter,axiom,
% 197.76/197.81 ! [V_f_2,V_P_2,V_xs_2,T_b,T_c] :
% 197.76/197.81 ( class_Groups_Omonoid__add(T_c)
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.81 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 197.76/197.81 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted__nth__monoI,axiom,
% 197.76/197.81 ! [V_xs,T_a] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_a)
% 197.76/197.81 => ( ! [B_i,B_j] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) )
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__eq__filter,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_P_2,V_xs_2))))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 197.76/197.81 ( ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 197.76/197.81 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_length__takeWhile__less__P__nth,axiom,
% 197.76/197.81 ! [V_xs_2,T_b,V_P_2,V_j_2] :
% 197.76/197.81 ( ! [B_i] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_P_2,V_xs_2)))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted_Osimps,axiom,
% 197.76/197.81 ! [V_a_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 197.76/197.81 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 197.76/197.81 | ? [B_xs,B_x] :
% 197.76/197.81 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 197.76/197.81 & ! [B_xa] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_not__in__set__insert,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Oinsert__def,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 197.76/197.81 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insert__remdups,axiom,
% 197.76/197.81 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__insert,axiom,
% 197.76/197.81 ! [V_x,V_xs,T_a] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__set__insert,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_List_Oset__insert,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insert__Nil,axiom,
% 197.76/197.81 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_concat__map__maps,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_maps__def,axiom,
% 197.76/197.81 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_maps__simps_I2_J,axiom,
% 197.76/197.81 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_maps__simps_I1_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_distinct__concat,axiom,
% 197.76/197.81 ! [V_xs_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 197.76/197.81 => ( ! [B_ys] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 197.76/197.81 => ( ! [B_ys] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ! [B_zs] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ( B_ys != B_zs
% 197.76/197.81 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 197.76/197.81 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measures__lesseq,axiom,
% 197.76/197.81 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_wf__measures,axiom,
% 197.76/197.81 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__measures_I1_J,axiom,
% 197.76/197.81 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measures__def,axiom,
% 197.76/197.81 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__measures_I2_J,axiom,
% 197.76/197.81 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 197.76/197.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.81 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 197.76/197.81 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measures__less,axiom,
% 197.76/197.81 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_foldl__apply,axiom,
% 197.76/197.81 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 197.76/197.81 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_order__fun_I2_J,axiom,
% 197.76/197.81 ! [V_g_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( ( class_Orderings_Oorder(T_c)
% 197.76/197.81 & class_Enum_Oenum(T_b) )
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.76/197.81 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.76/197.81 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_enum__ex__prod__def,axiom,
% 197.76/197.81 ! [V_P_2,T_b,T_c] :
% 197.76/197.81 ( ( class_Enum_Oenum(T_c)
% 197.76/197.81 & class_Enum_Oenum(T_b) )
% 197.76/197.81 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_P_2))
% 197.76/197.81 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_exists__code,axiom,
% 197.76/197.81 ! [V_P_2,T_b] :
% 197.76/197.81 ( class_Enum_Oenum(T_b)
% 197.76/197.81 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.81 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_enum__ex,axiom,
% 197.76/197.81 ! [V_P_2,T_b] :
% 197.76/197.81 ( class_Enum_Oenum(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_P_2))
% 197.76/197.81 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_zip__obtain__same__length,axiom,
% 197.76/197.81 ! [V_P_2,V_ys_2,T_c,V_xs_2,T_b] :
% 197.76/197.81 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pos__not__random__dseq__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_dropWhile__append2,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 => c_List_OdropWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_P_2,V_ys_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all2__all__nthI,axiom,
% 197.76/197.81 ! [V_P_2,V_b_2,T_c,V_a_2,T_b] :
% 197.76/197.81 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 197.76/197.81 => ( ! [B_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 197.76/197.81 => c_List_Olist__all2(T_b,T_c,V_P_2,V_a_2,V_b_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_finite__sorted__distinct__unique,axiom,
% 197.76/197.81 ! [V_A_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.81 => ? [B_x] :
% 197.76/197.81 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 197.76/197.81 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 197.76/197.81 & ! [B_y] :
% 197.76/197.81 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 197.76/197.81 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 197.76/197.81 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 197.76/197.81 => B_y = B_x ) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_takeWhile__append2,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 => c_List_OtakeWhile(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_insort__is__Cons,axiom,
% 197.76/197.81 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_c)
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 197.76/197.81 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_filter__eq__Cons__iff,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_b] :
% 197.76/197.81 ( hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 197.76/197.81 <=> ? [B_us,B_vs] :
% 197.76/197.81 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 & hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Cons__eq__filter__iff,axiom,
% 197.76/197.81 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_P_2),V_ys_2)
% 197.76/197.81 <=> ? [B_us,B_vs] :
% 197.76/197.81 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 197.76/197.81 & ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 197.76/197.81 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 & hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_P_2),B_vs) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_order__fun_I1_J,axiom,
% 197.76/197.81 ! [V_g_2,V_f_2,T_b,T_c] :
% 197.76/197.81 ( ( class_Orderings_Oorder(T_c)
% 197.76/197.81 & class_Enum_Oenum(T_b) )
% 197.76/197.81 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 197.76/197.81 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_enum__all,axiom,
% 197.76/197.81 ! [V_P_2,T_b] :
% 197.76/197.81 ( class_Enum_Oenum(T_b)
% 197.76/197.81 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2))
% 197.76/197.81 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_all__code,axiom,
% 197.76/197.81 ! [V_P_2,T_b] :
% 197.76/197.81 ( class_Enum_Oenum(T_b)
% 197.76/197.81 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 197.76/197.81 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_P_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_enum__all__prod__def,axiom,
% 197.76/197.81 ! [V_P_2,T_b,T_c] :
% 197.76/197.81 ( ( class_Enum_Oenum(T_c)
% 197.76/197.81 & class_Enum_Oenum(T_b) )
% 197.76/197.81 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_P_2))
% 197.76/197.81 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_P_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ball__nth,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b,V_n_2] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_sorted_OCons,axiom,
% 197.76/197.81 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.81 ( class_Orderings_Olinorder(T_b)
% 197.76/197.81 => ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 197.76/197.81 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 197.76/197.81 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__length,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ? [B_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__set__conv__decomp__first,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 <=> ? [B_ys] :
% 197.76/197.81 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 197.76/197.81 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__simps_I2_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : ~ c_List_Olist__ex(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 197.76/197.81 <=> ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 197.76/197.81 | c_List_Olist__ex(T_b,V_P_2,V_ys_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__iff,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ? [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__rev,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 197.76/197.81 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex__simps_I1_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 197.76/197.81 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 | c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__set__conv__decomp,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_in__set__conv__decomp__last,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 <=> ? [B_ys,B_zs] :
% 197.76/197.81 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 197.76/197.81 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__length,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ! [B_n] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measure__function__int,axiom,
% 197.76/197.81 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__simps_I2_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : c_List_Olist__all(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__append,axiom,
% 197.76/197.81 ! [V_ys_2,V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 197.76/197.81 <=> ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 197.76/197.81 & c_List_Olist__all(T_b,V_P_2,V_ys_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measure__size,axiom,
% 197.76/197.81 ! [T_b] :
% 197.76/197.81 ( class_Nat_Osize(T_b)
% 197.76/197.81 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_is__measure_Ointros,axiom,
% 197.76/197.81 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_is__measure_Oequations,axiom,
% 197.76/197.81 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_is__measure_Osimps,axiom,
% 197.76/197.81 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__iff,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measure__fst,axiom,
% 197.76/197.81 ! [T_c,V_f_2,T_b] :
% 197.76/197.81 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 197.76/197.81 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_measure__snd,axiom,
% 197.76/197.81 ! [T_c,V_f_2,T_b] :
% 197.76/197.81 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 197.76/197.81 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__rev,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 197.76/197.81 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__simps_I1_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 197.76/197.81 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 & c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_Ball__set__list__all,axiom,
% 197.76/197.81 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.81 ( ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.81 <=> c_List_Olist__all(T_b,V_P_2,V_xs_2) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__all__iff__raw,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__all(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ! [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex1__simps_I2_J,axiom,
% 197.76/197.81 ! [V_xs_2,V_x_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex1(T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 197.76/197.81 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 197.76/197.81 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.81 => c_List_Olist__ex1(T_b,V_P_2,V_xs_2) ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_transfer__morphism__int__nat,axiom,
% 197.76/197.81 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex1__simps_I1_J,axiom,
% 197.76/197.81 ! [V_P_2,T_b] : ~ c_List_Olist__ex1(T_b,V_P_2,c_List_Olist_ONil(T_b)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_bool_Osize_I4_J,axiom,
% 197.76/197.81 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_bool_Osize_I3_J,axiom,
% 197.76/197.81 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_list__ex1__iff,axiom,
% 197.76/197.81 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.81 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 197.76/197.81 <=> ? [B_x] :
% 197.76/197.81 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.81 & ! [B_y] :
% 197.76/197.81 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.81 & hBOOL(hAPP(V_P_2,B_y)) )
% 197.76/197.81 => B_y = B_x ) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 197.76/197.81 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 197.76/197.81 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.81 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 197.76/197.81 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.81 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 197.76/197.81 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 197.76/197.81 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.81 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 197.76/197.81 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 197.76/197.81 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 197.76/197.81 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 197.76/197.81 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pos__empty__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_neg__bind__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 197.76/197.81 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_neg__map__def,axiom,
% 197.76/197.81 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_neg__single__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pos__bind__def,axiom,
% 197.76/197.81 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 197.76/197.81 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pos__map__def,axiom,
% 197.76/197.81 ! [V_P_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 197.76/197.81
% 197.76/197.81 fof(fact_pos__single__def,axiom,
% 197.76/197.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_length__splice,axiom,
% 197.76/197.82 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_splice_Osimps_I3_J,axiom,
% 197.76/197.82 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_splice__Nil2,axiom,
% 197.76/197.82 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 197.76/197.82
% 197.76/197.82 fof(fact_splice_Osimps_I1_J,axiom,
% 197.76/197.82 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 197.76/197.82
% 197.76/197.82 fof(fact_splice_Osimps_I2_J,axiom,
% 197.76/197.82 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_New__DSequence_Opos__single__def,axiom,
% 197.76/197.82 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_acyclicP__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 197.76/197.82 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_converse__meet,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_converse__pred__comp,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep__eq,axiom,
% 197.76/197.82 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep__conversep,axiom,
% 197.76/197.82 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep__iff,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep_Oequations,axiom,
% 197.76/197.82 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep_Ointros,axiom,
% 197.76/197.82 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversepD,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep__noteq,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 197.76/197.82 <=> V_x_2 != V_y_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_converse__join,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_conversep__converse__eq,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_,axiom,
% 197.76/197.82 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_tl__replicate,axiom,
% 197.76/197.82 ! [V_x,T_a,V_n] :
% 197.76/197.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__length__filter,axiom,
% 197.76/197.82 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_length__replicate,axiom,
% 197.76/197.82 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 197.76/197.82
% 197.76/197.82 fof(fact_map__replicate__const,axiom,
% 197.76/197.82 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__app__Cons__same,axiom,
% 197.76/197.82 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__Suc,axiom,
% 197.76/197.82 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_rev__replicate,axiom,
% 197.76/197.82 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_take__replicate,axiom,
% 197.76/197.82 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_drop__replicate,axiom,
% 197.76/197.82 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_hd__replicate,axiom,
% 197.76/197.82 ! [V_x,T_a,V_n] :
% 197.76/197.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_last__replicate,axiom,
% 197.76/197.82 ! [V_x,T_a,V_n] :
% 197.76/197.82 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_zip__replicate,axiom,
% 197.76/197.82 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Ball__set__replicate,axiom,
% 197.76/197.82 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.82 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Bex__set__replicate,axiom,
% 197.76/197.82 ! [V_P_2,V_a_2,V_n_2,T_b] :
% 197.76/197.82 ( ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_a_2))))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 <=> ( hBOOL(hAPP(V_P_2,V_a_2))
% 197.76/197.82 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__eq__replicate,axiom,
% 197.76/197.82 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 197.76/197.82 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 197.76/197.82 <=> ( V_m_2 = V_n_2
% 197.76/197.82 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => V_x_2 = V_y_2 ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_nth__replicate,axiom,
% 197.76/197.82 ! [V_x,T_a,V_n,V_i] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 197.76/197.82 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_append__replicate__commute,axiom,
% 197.76/197.82 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__add,axiom,
% 197.76/197.82 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_filter__replicate,axiom,
% 197.76/197.82 ! [V_n_2,T_b,V_x_2,V_P_2] :
% 197.76/197.82 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.82 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) )
% 197.76/197.82 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 197.76/197.82 => hAPP(c_List_Ofilter(T_b,V_P_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_concat__replicate__trivial,axiom,
% 197.76/197.82 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__empty,axiom,
% 197.76/197.82 ! [V_x_2,V_n_2,T_b] :
% 197.76/197.82 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 197.76/197.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_empty__replicate,axiom,
% 197.76/197.82 ! [V_x_2,V_n_2,T_b] :
% 197.76/197.82 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 197.76/197.82 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__0,axiom,
% 197.76/197.82 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_map__replicate,axiom,
% 197.76/197.82 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_in__set__replicate,axiom,
% 197.76/197.82 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 197.76/197.82 <=> ( V_x_2 = V_y_2
% 197.76/197.82 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_replicate__append__same,axiom,
% 197.76/197.82 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_map__replicate__trivial,axiom,
% 197.76/197.82 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_set__replicate__conv__if,axiom,
% 197.76/197.82 ! [V_x_2,T_b,V_n_2] :
% 197.76/197.82 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 197.76/197.82 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_set__replicate,axiom,
% 197.76/197.82 ! [V_x_2,T_b,V_n_2] :
% 197.76/197.82 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_set__replicate__Suc,axiom,
% 197.76/197.82 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy__list_Osimps,axiom,
% 197.76/197.82 ! [V_d_2,T_b] :
% 197.76/197.82 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_eq__comp__r,axiom,
% 197.76/197.82 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy__prod__def,axiom,
% 197.76/197.82 ! [V_d,T_b,T_a] :
% 197.76/197.82 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 197.76/197.82 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_New__DSequence_Opos__union__def,axiom,
% 197.76/197.82 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__01,axiom,
% 197.76/197.82 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Oinject,axiom,
% 197.76/197.82 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 197.76/197.82 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 197.76/197.82 <=> ( V_a_2 = V_a_H_2
% 197.76/197.82 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_pos__union__def,axiom,
% 197.76/197.82 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy_H_Osimps,axiom,
% 197.76/197.82 ! [V_i,V_d] :
% 197.76/197.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 197.76/197.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy_H_Opsimps,axiom,
% 197.76/197.82 ! [V_i_2,V_d_2] :
% 197.76/197.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 197.76/197.82 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 197.76/197.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 197.76/197.82 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy__int__def,axiom,
% 197.76/197.82 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_small__lazy_H_Opinduct,axiom,
% 197.76/197.82 ! [V_P_2,V_a1_2,V_a0_2] :
% 197.76/197.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 197.76/197.82 => ( ! [B_d,B_i] :
% 197.76/197.82 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 197.76/197.82 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,B_d),B_i)) ) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_size__code,axiom,
% 197.76/197.82 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence__size__code,axiom,
% 197.76/197.82 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_seq__case,axiom,
% 197.76/197.82 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_yieldn__def,axiom,
% 197.76/197.82 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_refl__on__INTER,axiom,
% 197.76/197.82 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.82 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 197.76/197.82 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_in__set__member,axiom,
% 197.76/197.82 ! [V_xs_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_member__rec_I2_J,axiom,
% 197.76/197.82 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_member__set,axiom,
% 197.76/197.82 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_member__rec_I1_J,axiom,
% 197.76/197.82 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 197.76/197.82 <=> ( V_x_2 = V_y_2
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_List_Omember__def,axiom,
% 197.76/197.82 ! [V_x_2,V_xs_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__ex1__iff__raw,axiom,
% 197.76/197.82 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.82 ( c_List_Olist__ex1(T_b,V_P_2,V_xs_2)
% 197.76/197.82 <=> ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.82 & ! [B_y] :
% 197.76/197.82 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_y)) )
% 197.76/197.82 => B_y = B_x ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_setsum__UNION__zero,axiom,
% 197.76/197.82 ! [V_f_2,V_S_2,T_b,T_c] :
% 197.76/197.82 ( class_Groups_Ocomm__monoid__add(T_c)
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 197.76/197.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 197.76/197.82 => ( ! [B_T1] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 197.76/197.82 => ! [B_T2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 197.76/197.82 => ( B_T1 != B_T2
% 197.76/197.82 => ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 197.76/197.82 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 197.76/197.82 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_THE__default__def,axiom,
% 197.76/197.82 ! [V_d_2,T_b,V_P_2] :
% 197.76/197.82 ( ( ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.82 & ! [B_y] :
% 197.76/197.82 ( hBOOL(hAPP(V_P_2,B_y))
% 197.76/197.82 => B_y = B_x ) )
% 197.76/197.82 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = c_HOL_OThe(T_b,V_P_2) )
% 197.76/197.82 & ( ~ ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(V_P_2,B_x))
% 197.76/197.82 & ! [B_y] :
% 197.76/197.82 ( hBOOL(hAPP(V_P_2,B_y))
% 197.76/197.82 => B_y = B_x ) )
% 197.76/197.82 => c_FunDef_OTHE__default(T_b,V_d_2,V_P_2) = V_d_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_SUP2__E,axiom,
% 197.76/197.82 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 197.76/197.82 => ~ ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.82 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_INF2__I,axiom,
% 197.76/197.82 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_finite__maxlen,axiom,
% 197.76/197.82 ! [V_M_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 197.76/197.82 => ? [B_n] :
% 197.76/197.82 ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 197.76/197.82 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 197.76/197.82 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__02,axiom,
% 197.76/197.82 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 197.76/197.82 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__all__iff__all__interval__int,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Olist__all(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 197.76/197.82 <=> c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Olist__ex(tc_Int_Oint,V_P_2,c_List_Oupto(V_i_2,V_j_2))
% 197.76/197.82 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_P_2),V_i_2,V_j_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_all__interval__int__def,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Oall__interval__int(V_P_2,V_i_2,V_j_2)
% 197.76/197.82 <=> ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 197.76/197.82 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Random_Osimps,axiom,
% 197.76/197.82 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 197.76/197.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 197.76/197.82 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 197.76/197.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 197.76/197.82 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 197.76/197.82 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Random__Sequence_Oempty__def,axiom,
% 197.76/197.82 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Random__Sequence_Osingle__def,axiom,
% 197.76/197.82 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Random__Sequence_Omap__def,axiom,
% 197.76/197.82 ! [V_P_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_P_2) = c_Random__Sequence_Obind(T_c,T_b,V_P_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_exE__realizer,axiom,
% 197.76/197.82 ! [T_d,V_f_2,V_Q_2,V_p_2,T_b,T_c,V_P_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 197.76/197.82 => ( ! [B_x,B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(V_P_2,B_y),B_x))
% 197.76/197.82 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 197.76/197.82 => hBOOL(hAPP(V_Q_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Image__Collect__split,axiom,
% 197.76/197.82 ! [V_A_2,V_P_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_P_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_P_2)))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lexord__trans,axiom,
% 197.76/197.82 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 197.76/197.82 => ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__less__than,axiom,
% 197.76/197.82 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__lex__prod,axiom,
% 197.76/197.82 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_R1_2)
% 197.76/197.82 => ( c_Relation_Otrans(T_c,V_R2_2)
% 197.76/197.82 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_transD,axiom,
% 197.76/197.82 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__def,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 <=> ! [B_x,B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 197.76/197.82 => ! [B_z] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Union__eq,axiom,
% 197.76/197.82 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__rtrancl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__Id,axiom,
% 197.76/197.82 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__trancl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trancl__id,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__Id__on,axiom,
% 197.76/197.82 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__finite__psubset,axiom,
% 197.76/197.82 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lexord__transI,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bex__empty,axiom,
% 197.76/197.82 ! [V_P_2,T_b] :
% 197.76/197.82 ~ ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_listrel__trans,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.82 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_finite__Collect__bex,axiom,
% 197.76/197.82 ! [V_Q_2,T_c,V_A_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Q_2)))))
% 197.76/197.82 <=> ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Q_2),B_x)))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bex__UNIV,axiom,
% 197.76/197.82 ! [V_P_2,T_b] :
% 197.76/197.82 ( ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__Int,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Otrans(T_b,V_s_2)
% 197.76/197.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_SUPR__bool__eq,axiom,
% 197.76/197.82 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__O__subset,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__reflclI,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__inv__image,axiom,
% 197.76/197.82 ! [V_f_2,T_c,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Bex__set__list__ex,axiom,
% 197.76/197.82 ! [V_P_2,V_xs_2,T_b] :
% 197.76/197.82 ( ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 <=> c_List_Olist__ex(T_b,V_P_2,V_xs_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__ex__iff__raw,axiom,
% 197.76/197.82 ! [V_xs_2,V_P_2,T_b] :
% 197.76/197.82 ( c_List_Olist__ex(T_b,V_P_2,V_xs_2)
% 197.76/197.82 <=> ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_UN__eq,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_INT__eq,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Sup__fun__def,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.82 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Sup__apply,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.82 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Inf__apply,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.82 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Inf__fun__def,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,T_c,T_b] :
% 197.76/197.82 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 197.76/197.82 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_max__extp_Ointros,axiom,
% 197.76/197.82 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 197.76/197.82 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 197.76/197.82 => ? [B_xa] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 197.76/197.82 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 197.76/197.82 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_transp__def,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Predicate_Otransp(T_b,V_r_2)
% 197.76/197.82 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_transpE,axiom,
% 197.76/197.82 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Predicate_Otransp(T_b,V_r_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivp__reflp__symp__transp,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 197.76/197.82 & c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivpI,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Predicate_Oreflp(T_b,V_R_2)
% 197.76/197.82 => ( c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 => ( c_Predicate_Otransp(T_b,V_R_2)
% 197.76/197.82 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sympE,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Predicate_Osymp(T_b,V_r_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivpE,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 197.76/197.82 => ( c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_max__extp_Osimps,axiom,
% 197.76/197.82 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 197.76/197.82 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 197.76/197.82 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 197.76/197.82 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 197.76/197.82 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 & ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 197.76/197.82 => ? [B_xa] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 197.76/197.82 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_trans__diff__Id,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Oantisym(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.82 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__empty,axiom,
% 197.76/197.82 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__Id__on,axiom,
% 197.76/197.82 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__Id,axiom,
% 197.76/197.82 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__subset,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 197.76/197.82 => ( c_Relation_Oantisym(T_b,V_s_2)
% 197.76/197.82 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__def,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Oantisym(T_b,V_r_2)
% 197.76/197.82 <=> ! [B_x,B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 197.76/197.82 => B_x = B_y ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisymD,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Oantisym(T_b,V_r_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 197.76/197.82 => V_a_2 = V_b_2 ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_antisym__reflcl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 197.76/197.82 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_fun__lub__def,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__trans__comp__subset,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_symD,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__def,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 <=> ! [B_x,B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Int__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__rtrancl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Id,axiom,
% 197.76/197.82 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Un,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Osym(T_b,V_s_2)
% 197.76/197.82 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__trancl,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Id__on,axiom,
% 197.76/197.82 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_listrel__sym,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 197.76/197.82 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__conv__converse__eq,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Int,axiom,
% 197.76/197.82 ! [V_s_2,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Osym(T_b,V_s_2)
% 197.76/197.82 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__Un__converse,axiom,
% 197.76/197.82 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_sym__inv__image,axiom,
% 197.76/197.82 ! [V_f_2,T_c,V_r_2,T_b] :
% 197.76/197.82 ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivE,axiom,
% 197.76/197.82 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.82 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.82 => ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivI,axiom,
% 197.76/197.82 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.82 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.82 => ( c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 => ( c_Relation_Otrans(T_b,V_r_2)
% 197.76/197.82 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equiv__def,axiom,
% 197.76/197.82 ! [V_r_2,V_A_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 197.76/197.82 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 197.76/197.82 & c_Relation_Osym(T_b,V_r_2)
% 197.76/197.82 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_symp__def,axiom,
% 197.76/197.82 ! [V_r_2,T_b] :
% 197.76/197.82 ( c_Predicate_Osymp(T_b,V_r_2)
% 197.76/197.82 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivp__refl__symp__transp,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 197.76/197.82 & c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivpI,axiom,
% 197.76/197.82 ! [T_b,V_R_2] :
% 197.76/197.82 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 197.76/197.82 => ( c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 => ( c_Predicate_Otransp(T_b,V_R_2)
% 197.76/197.82 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivp__def,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 197.76/197.82 & ! [B_x,B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 197.76/197.82 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 197.76/197.82 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 197.76/197.82 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivp__symp,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivp__transp,axiom,
% 197.76/197.82 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_equivp__implies__part__equivp,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivpE,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 197.76/197.82 => ( c_Predicate_Osymp(T_b,V_R_2)
% 197.76/197.82 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_part__equivp__typedef,axiom,
% 197.76/197.82 ! [V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 197.76/197.82 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inj__iff,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__o__cancel,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__image__cancel,axiom,
% 197.76/197.82 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inj__on__inv__into,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.82 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__def,axiom,
% 197.76/197.82 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__def,axiom,
% 197.76/197.82 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__id,axiom,
% 197.76/197.82 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__f__eq,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__f__f,axiom,
% 197.76/197.82 ! [V_x_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__f__f,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__f__eq,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 197.76/197.82 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_f__inv__into__f,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.82 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__into,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__injective,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 197.76/197.82 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 197.76/197.82 => V_x_2 = V_y_2 ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_surj__iff__all,axiom,
% 197.76/197.82 ! [V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_surj__f__inv__f,axiom,
% 197.76/197.82 ! [V_y_2,V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_image__surj__f__inv__f,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_image__inv__into__cancel,axiom,
% 197.76/197.82 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inj__imp__surj__inv,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_image__inv__f__f,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__image__comp,axiom,
% 197.76/197.82 ! [V_X_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_surj__imp__inj__inv,axiom,
% 197.76/197.82 ! [V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_o__inv__o__cancel,axiom,
% 197.76/197.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__comp,axiom,
% 197.76/197.82 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 197.76/197.82 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_surj__iff,axiom,
% 197.76/197.82 ! [V_f_2,T_b,T_c] :
% 197.76/197.82 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inj__transfer,axiom,
% 197.76/197.82 ! [V_x_2,V_P_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => ( ! [B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 197.76/197.82 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_fold__image__UN__disjoint,axiom,
% 197.76/197.82 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 197.76/197.82 ( class_Groups_Ocomm__monoid__mult(T_d)
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 197.76/197.82 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 197.76/197.82 => ! [B_xa] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 197.76/197.82 => ( B_x != B_xa
% 197.76/197.82 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 197.76/197.82 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_nat__of__induct,axiom,
% 197.76/197.82 ! [V_P_2,V_y_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.82 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_nat__of__cases,axiom,
% 197.76/197.82 ! [V_y_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.82 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_of__nat__induct,axiom,
% 197.76/197.82 ! [V_x_2,V_P_2] :
% 197.76/197.82 ( ! [B_y] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 197.76/197.82 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_of__nat__cases,axiom,
% 197.76/197.82 ! [V_x_2] :
% 197.76/197.82 ~ ! [B_y] :
% 197.76/197.82 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 197.76/197.82 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 197.76/197.82 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_beyond__def,axiom,
% 197.76/197.82 ! [V_l,V_k] :
% 197.76/197.82 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 197.76/197.82 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 197.76/197.82 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 197.76/197.82 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_beyond__zero,axiom,
% 197.76/197.82 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 197.76/197.82 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__image__Collect__eq,axiom,
% 197.76/197.82 ! [V_P_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_P_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curry__def,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curryI,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 197.76/197.82 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__id,axiom,
% 197.76/197.82 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__inv__into,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__into__inv__into__eq,axiom,
% 197.76/197.82 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 197.76/197.82 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__imp__bij__inv,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inv__inv__eq,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_o__inv__distrib,axiom,
% 197.76/197.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__image__INT,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__comp__iff2,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 197.76/197.82 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 197.76/197.82 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__comp__iff,axiom,
% 197.76/197.82 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 197.76/197.82 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 197.76/197.82 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__trans,axiom,
% 197.76/197.82 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__comp,axiom,
% 197.76/197.82 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curryE,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 197.76/197.82 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curryD,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 197.76/197.82 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curry__conv,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__image__Compl__eq,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bijI,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__def,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 197.76/197.82 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__subset,axiom,
% 197.76/197.82 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.82 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__is__surj,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__imp__surj,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inj__on__imp__bij__betw,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__def,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__imp__inj__on,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__is__inj,axiom,
% 197.76/197.82 ! [V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__the__inv__into,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => c_Fun_Obij__betw(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__same__card,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__empty2,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__empty1,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 197.76/197.82 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__finite,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.82 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_BIJ,axiom,
% 197.76/197.82 ! [V_B_2,T_c,V_A_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 197.76/197.82 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 197.76/197.82 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__id__iff,axiom,
% 197.76/197.82 ! [V_B_2,V_A_2,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 197.76/197.82 <=> V_A_2 = V_B_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__id,axiom,
% 197.76/197.82 ! [T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__Disj__Un,axiom,
% 197.76/197.82 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 197.76/197.82 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 197.76/197.82 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 197.76/197.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 197.76/197.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_H_2),V_B_H_2)) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__betw__combine,axiom,
% 197.76/197.82 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 197.76/197.82 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 197.76/197.82 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 197.76/197.82 => c_Fun_Obij__betw(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_D_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_finite__vimage__iff,axiom,
% 197.76/197.82 ! [V_F_2,V_h_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 197.76/197.82 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_curry__split,axiom,
% 197.76/197.82 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_split__curry,axiom,
% 197.76/197.82 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 197.76/197.82
% 197.76/197.82 fof(fact_vimage__subset__eq,axiom,
% 197.76/197.82 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bij__vimage__eq__inv__image,axiom,
% 197.76/197.82 ! [V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 197.76/197.82 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_A_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 197.76/197.82 ! [V_M_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 197.76/197.82 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Cantor__Bernstein,axiom,
% 197.76/197.82 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2))
% 197.76/197.82 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_B_2)),V_A_2))
% 197.76/197.82 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_ex__bij__betw__nat__finite,axiom,
% 197.76/197.82 ! [V_M_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 197.76/197.82 => ? [B_h] : c_Fun_Obij__betw(tc_Nat_Onat,T_b,B_h,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2)),V_M_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_ex__bij__betw__finite__nat,axiom,
% 197.76/197.82 ! [V_M_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 197.76/197.82 => ? [B_h] : c_Fun_Obij__betw(T_b,tc_Nat_Onat,B_h,V_M_2,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_M_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_refl__on__UNION,axiom,
% 197.76/197.82 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 197.76/197.82 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 197.76/197.82 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bex__reg__eqv,axiom,
% 197.76/197.82 ! [V_P_2,V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 => ( ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_in__respects,axiom,
% 197.76/197.82 ! [V_R_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Quotient_ORespects(T_b,V_R_2)))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Respects__def,axiom,
% 197.76/197.82 ! [V_x_2,V_R_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(c_Quotient_ORespects(T_b,V_R_2),V_x_2))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_bex__reg__right,axiom,
% 197.76/197.82 ! [V_P_2,V_Q_2,V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(V_Q_2,B_x))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,B_x)) )
% 197.76/197.82 => ( ? [B_x1] : hBOOL(hAPP(V_Q_2,B_x1))
% 197.76/197.82 => ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Quotient_ORespects(T_b,V_R_2)))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_babs__reg__eqv,axiom,
% 197.76/197.82 ! [V_P_2,T_c,V_R_2,T_b] :
% 197.76/197.82 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 197.76/197.82 => c_Quotient_OBabs(T_b,T_c,c_Quotient_ORespects(T_b,V_R_2),V_P_2) = V_P_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_Babs__def,axiom,
% 197.76/197.82 ! [V_m_2,T_c,V_p_2,V_x_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_p_2))
% 197.76/197.82 => hAPP(c_Quotient_OBabs(T_b,T_c,V_p_2,V_m_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_wf__weak__decr__stable,axiom,
% 197.76/197.82 ! [V_r_2,V_f_2,T_b] :
% 197.76/197.82 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 197.76/197.82 => ( c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2))
% 197.76/197.82 => ? [B_i] :
% 197.76/197.82 ! [B_k] : hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),B_k)) = hAPP(V_f_2,B_i) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_INT__anti__mono,axiom,
% 197.76/197.82 ! [V_g_2,V_f_2,T_c,V_A_2,V_B_2,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_g_2))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_INT__greatest,axiom,
% 197.76/197.82 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(V_B_2,B_x))) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_rtrancl__induct2,axiom,
% 197.76/197.82 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2))
% 197.76/197.82 => ( ! [B_a,B_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 197.76/197.82 => ! [B_aa,B_ba] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_P_2,B_a),B_b))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba)) ) ) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_converse__rtranclE2,axiom,
% 197.76/197.82 ! [V_r_2,V_zb_2,V_za_2,V_xb_2,V_xa_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 197.76/197.82 => ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2) != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2)
% 197.76/197.82 => ~ ! [B_a,B_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_xa_2),V_xb_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))),V_r_2))
% 197.76/197.82 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_za_2),V_zb_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_converse__rtrancl__induct2,axiom,
% 197.76/197.82 ! [V_P_2,V_r_2,V_by_2,V_bx_2,V_ay_2,V_ax_2,T_c,T_b] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_ax_2),V_ay_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_P_2,V_bx_2),V_by_2))
% 197.76/197.82 => ( ! [B_a,B_b,B_aa,B_ba] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba))),V_r_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_aa),B_ba)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_bx_2),V_by_2))),c_Transitive__Closure_Ortrancl(tc_prod(T_b,T_c),V_r_2)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(V_P_2,B_aa),B_ba))
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) ) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(V_P_2,V_ax_2),V_ay_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_congruentI,axiom,
% 197.76/197.82 ! [T_c,V_f_2,V_r_2,T_b] :
% 197.76/197.82 ( ! [B_y,B_z] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 197.76/197.82 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 197.76/197.82 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_congruent2I_H,axiom,
% 197.76/197.82 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 197.76/197.82 ( ! [B_y1,B_z1] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y1),B_z1)),V_r1_2))
% 197.76/197.82 => ! [B_y2,B_z2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),B_y2),B_z2)),V_r2_2))
% 197.76/197.82 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 197.76/197.82 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__03,axiom,
% 197.76/197.82 ! [V_xqq,V_xq,T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(tc_Lazy__Sequence_Olazy__sequence(T_a),V_xq,V_xqq)) = c_Lazy__Sequence_Oappend(T_a,V_xq,c_Lazy__Sequence_Oflat(T_a,V_xqq)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_all__interval__nat__def,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2)
% 197.76/197.82 <=> ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)))
% 197.76/197.82 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__04,axiom,
% 197.76/197.82 ! [T_a] : c_Lazy__Sequence_Oflat(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(tc_Lazy__Sequence_Olazy__sequence(T_a))) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__all__iff__all__interval__nat,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Olist__all(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 197.76/197.82 <=> c_List_Oall__interval__nat(V_P_2,V_i_2,V_j_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_list__ex__iff__not__all__inverval__nat,axiom,
% 197.76/197.82 ! [V_j_2,V_i_2,V_P_2] :
% 197.76/197.82 ( c_List_Olist__ex(tc_Nat_Onat,V_P_2,c_List_Oupt(V_i_2,V_j_2))
% 197.76/197.82 <=> ~ c_List_Oall__interval__nat(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat,c_fNot),V_P_2),V_i_2,V_j_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__05,axiom,
% 197.76/197.82 ! [V_f_2,V_xq_2,T_b,T_c] : hAPP(c_Lazy__Sequence_Obind(T_c,T_b,V_xq_2),V_f_2) = c_Lazy__Sequence_Oflat(T_b,c_Lazy__Sequence_Omap(T_c,tc_Lazy__Sequence_Olazy__sequence(T_b),V_f_2,V_xq_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_folding__image_Ocong,axiom,
% 197.76/197.82 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 197.76/197.82 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 197.76/197.82 => ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 197.76/197.82 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 197.76/197.82 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(V_F_2,V_h_2),V_A_2) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__06,axiom,
% 197.76/197.82 ! [V_xq_2,V_x_2,V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_x_2,V_xq_2)) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,hAPP(V_f_2,V_x_2),c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,V_xq_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact__07,axiom,
% 197.76/197.82 ! [V_f_2,T_b,T_c] : c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_New__DSequence_Opos__map__def,axiom,
% 197.76/197.82 ! [V_i_2,V_xq_2,V_f_2,T_b,T_c] : c_New__DSequence_Opos__map(T_c,T_b,V_f_2,V_xq_2,V_i_2) = c_Lazy__Sequence_Omap(T_c,T_b,V_f_2,hAPP(V_xq_2,V_i_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_power__dvd__imp__le,axiom,
% 197.76/197.82 ! [V_n,V_m,V_i] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_i))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_Oorder__refl,axiom,
% 197.76/197.82 ! [V_x] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_x),V_x)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__0__right,axiom,
% 197.76/197.82 ! [V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__1__left,axiom,
% 197.76/197.82 ! [V_k] : hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k)) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_setprod__dvd__setprod__subset,axiom,
% 197.76/197.82 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 197.76/197.82 ( ( class_Groups_Ocomm__monoid__mult(T_c)
% 197.76/197.82 & class_Rings_Odvd(T_c) )
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__div__eq__mult,axiom,
% 197.76/197.82 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_b)
% 197.76/197.82 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 197.76/197.82 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = V_c_2
% 197.76/197.82 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__div__div__eq__mult,axiom,
% 197.76/197.82 ! [V_d_2,V_b_2,V_c_2,V_a_2,T_b] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_b)
% 197.76/197.82 => ( V_a_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.82 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_c_2),V_d_2))
% 197.76/197.82 => ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_b),V_d_2),V_c_2)
% 197.76/197.82 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2) ) ) ) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_unity__coeff__ex,axiom,
% 197.76/197.82 ! [V_l_2,V_P_2,T_b] :
% 197.76/197.82 ( ( class_Rings_Odvd(T_b)
% 197.76/197.82 & class_Rings_Osemiring__0(T_b) )
% 197.76/197.82 => ( ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_l_2),B_x)))
% 197.76/197.82 <=> ? [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),c_Groups_Ozero__class_Ozero(T_b))))
% 197.76/197.82 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_nat__mult__dvd__cancel__disj,axiom,
% 197.76/197.82 ! [V_n_2,V_m_2,V_k_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_m_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),V_n_2)))
% 197.76/197.82 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_div__mult__div__if__dvd,axiom,
% 197.76/197.82 ! [V_w,V_z,V_x,V_y,T_a] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_y),V_x))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_z),V_w))
% 197.76/197.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_x),V_y)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_w),V_z)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__div__mult,axiom,
% 197.76/197.82 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 197.76/197.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_c) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_a) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__div__mult__self,axiom,
% 197.76/197.82 ! [V_b,V_a,T_a] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 197.76/197.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)),V_a) = V_b ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_div__mult__swap,axiom,
% 197.76/197.82 ! [V_a,V_b,V_c,T_a] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_b))
% 197.76/197.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult__div__cancel,axiom,
% 197.76/197.82 ! [V_b,V_a,T_a] :
% 197.76/197.82 ( class_Divides_Osemiring__div(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 197.76/197.82 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_b),V_a)) = V_b ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult__right,axiom,
% 197.76/197.82 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_c)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult__left,axiom,
% 197.76/197.82 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvdI,axiom,
% 197.76/197.82 ! [V_k,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Odvd(T_a)
% 197.76/197.82 => ( V_a = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_k)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_b),V_a)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_mult__dvd__mono,axiom,
% 197.76/197.82 ! [V_d,V_c,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_c),V_d))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult,axiom,
% 197.76/197.82 ! [V_b,V_c,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_c))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult2,axiom,
% 197.76/197.82 ! [V_c,V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__triv__right,axiom,
% 197.76/197.82 ! [V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__triv__left,axiom,
% 197.76/197.82 ! [V_b,V_a,T_a] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_a)
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult__cancel__right,axiom,
% 197.76/197.82 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 197.76/197.82 ( class_Rings_Oidom(T_b)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 197.76/197.82 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__mult__cancel__left,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 197.76/197.82 ( class_Rings_Oidom(T_b)
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 197.76/197.82 <=> ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_a_2),V_b_2)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inf__period_I3_J,axiom,
% 197.76/197.82 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 197.76/197.82 ( ( class_Rings_Ocomm__ring(T_b)
% 197.76/197.82 & class_Rings_Odvd(T_b) )
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 197.76/197.82 => ! [B_x,B_k] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_inf__period_I4_J,axiom,
% 197.76/197.82 ! [V_t_2,V_D_2,V_d_2,T_b] :
% 197.76/197.82 ( ( class_Rings_Ocomm__ring(T_b)
% 197.76/197.82 & class_Rings_Odvd(T_b) )
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),V_D_2))
% 197.76/197.82 => ! [B_x,B_k] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),B_x),V_t_2)))
% 197.76/197.82 <=> hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_b),V_d_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_k),V_D_2))),V_t_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd__setprod,axiom,
% 197.76/197.82 ! [V_f_2,V_i_2,V_A_2,T_b,T_c] :
% 197.76/197.82 ( class_Rings_Ocomm__semiring__1(T_c)
% 197.76/197.82 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 197.76/197.82 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 197.76/197.82 => hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_c),hAPP(V_f_2,V_i_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastAtMost__singleton__iff,axiom,
% 197.76/197.82 ! [V_c_2,V_b_2,V_a_2] :
% 197.76/197.82 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))
% 197.76/197.82 <=> ( V_a_2 = V_b_2
% 197.76/197.82 & V_b_2 = V_c_2 ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastAtMost__singleton,axiom,
% 197.76/197.82 ! [V_a_2] : c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastAtMost__singleton_H,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2] :
% 197.76/197.82 ( V_a_2 = V_b_2
% 197.76/197.82 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastatMost__empty__iff2,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2] :
% 197.76/197.82 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2)
% 197.76/197.82 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastatMost__empty__iff,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2] :
% 197.76/197.82 ( c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 197.76/197.82 <=> ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastatMost__empty,axiom,
% 197.76/197.82 ! [V_a_2,V_b_2] :
% 197.76/197.82 ( ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 197.76/197.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2)) )
% 197.76/197.82 => c_SetInterval_Oord_OatLeastAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OgreaterThanAtMost__empty,axiom,
% 197.76/197.82 ! [V_k_2,V_l_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 197.76/197.82 => c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastLessThan__empty,axiom,
% 197.76/197.82 ! [V_a_2,V_b_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2))
% 197.76/197.82 => c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OgreaterThanLessThan__empty,axiom,
% 197.76/197.82 ! [V_k_2,V_l_2] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2))
% 197.76/197.82 => c_SetInterval_Oord_OgreaterThanLessThan(tc_Nat_Onat,hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OgreaterThanAtMost__empty__iff,axiom,
% 197.76/197.82 ! [V_l_2,V_k_2] :
% 197.76/197.82 ( c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 197.76/197.82 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 197.76/197.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastLessThan__empty__iff,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2] :
% 197.76/197.82 ( c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))
% 197.76/197.82 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OgreaterThanAtMost__empty__iff2,axiom,
% 197.76/197.82 ! [V_l_2,V_k_2] :
% 197.76/197.82 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OgreaterThanAtMost(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_k_2,V_l_2)
% 197.76/197.82 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_k_2),V_l_2))
% 197.76/197.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_l_2),V_k_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(fact_dvd_OatLeastLessThan__empty__iff2,axiom,
% 197.76/197.82 ! [V_b_2,V_a_2] :
% 197.76/197.82 ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = c_SetInterval_Oord_OatLeastLessThan(tc_Nat_Onat,c_Rings_Odvd__class_Odvd(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Nat_Onat),c_fNot)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Rings_Odvd__class_Odvd(tc_Nat_Onat)))),V_a_2,V_b_2)
% 197.76/197.82 <=> ~ ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_a_2),V_b_2))
% 197.76/197.82 & ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Nat_Onat),V_b_2),V_a_2)) ) ) ).
% 197.76/197.82
% 197.76/197.82 %----Arity declarations (222)
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 197.76/197.82 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Obounded__lattice(T_1)
% 197.76/197.82 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 197.76/197.82 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Obounded__lattice(T_1)
% 197.76/197.82 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Obounded__lattice(T_1)
% 197.76/197.82 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Olattice(T_1)
% 197.76/197.82 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Olattice(T_1)
% 197.76/197.82 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Odistrib__lattice(T_1)
% 197.76/197.82 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Oboolean__algebra(T_1)
% 197.76/197.82 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Orderings_Opreorder,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Orderings_Opreorder(T_1)
% 197.76/197.82 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Finite__Set_Ofinite(T_2)
% 197.76/197.82 & class_Finite__Set_Ofinite(T_1) )
% 197.76/197.82 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Lattices_Olattice,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Lattices_Olattice(T_1)
% 197.76/197.82 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Orderings_Oorder,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Orderings_Oorder(T_1)
% 197.76/197.82 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Orderings_Otop,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Orderings_Otop(T_1)
% 197.76/197.82 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Orderings_Oord,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Orderings_Oord(T_1)
% 197.76/197.82 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Orderings_Obot,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Orderings_Obot(T_1)
% 197.76/197.82 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Groups_Ouminus,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Groups_Ouminus(T_1)
% 197.76/197.82 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Groups_Ominus,axiom,
% 197.76/197.82 ! [T_2,T_1] :
% 197.76/197.82 ( class_Groups_Ominus(T_1)
% 197.76/197.82 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_fun__Enum_Oenum,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Enum_Oenum(T_2)
% 197.76/197.82 & class_Enum_Oenum(T_1) )
% 197.76/197.82 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Com_Ocom) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 197.76/197.82 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 197.76/197.82 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 197.76/197.82 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 197.76/197.82 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 197.76/197.82 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 197.76/197.82 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 197.76/197.82 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 197.76/197.82 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 197.76/197.82 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 197.76/197.82 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 197.76/197.82 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 197.76/197.82 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 197.76/197.82 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 197.76/197.82 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 197.76/197.82 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 197.76/197.82 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 197.76/197.82 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 197.76/197.82 class_Orderings_Opreorder(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 197.76/197.82 class_Orderings_Olinorder(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 197.76/197.82 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 197.76/197.82 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 197.76/197.82 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 197.76/197.82 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 197.76/197.82 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 197.76/197.82 class_Lattices_Olattice(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 197.76/197.82 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 197.76/197.82 class_Divides_Oring__div(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 197.76/197.82 class_Rings_Omult__zero(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Ocomm__ring,axiom,
% 197.76/197.82 class_Rings_Ocomm__ring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 197.76/197.82 class_Orderings_Oorder(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 197.76/197.82 class_Int_Oring__char__0(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 197.76/197.82 class_Int_Onumber__ring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 197.76/197.82 class_Rings_Osemiring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 197.76/197.82 class_Orderings_Oord(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 197.76/197.82 class_Groups_Ouminus(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 197.76/197.82 class_Groups_Osgn__if(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 197.76/197.82 class_Groups_Oabs__if(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 197.76/197.82 class_Rings_Oring__1(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 197.76/197.82 class_Groups_Ominus(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Power_Opower,axiom,
% 197.76/197.82 class_Power_Opower(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 197.76/197.82 class_Groups_Ozero(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oring,axiom,
% 197.76/197.82 class_Rings_Oring(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 197.76/197.82 class_Rings_Oidom(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Int_Onumber,axiom,
% 197.76/197.82 class_Int_Onumber(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Groups_Oone,axiom,
% 197.76/197.82 class_Groups_Oone(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Int__Oint__Rings_Odvd,axiom,
% 197.76/197.82 class_Rings_Odvd(tc_Int_Oint) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 197.76/197.82 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 197.76/197.82 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 197.76/197.82 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 197.76/197.82 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 197.76/197.82 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 197.76/197.82 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 197.76/197.82 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 197.76/197.82 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 197.76/197.82 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 197.76/197.82 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 197.76/197.82 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 197.76/197.82 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 197.76/197.82 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 197.76/197.82 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 197.76/197.82 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 197.76/197.82 class_Lattices_Olattice(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 197.76/197.82 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 197.76/197.82 class_Orderings_Oorder(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 197.76/197.82 class_Rings_Osemiring(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 197.76/197.82 class_Orderings_Oord(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 197.76/197.82 class_Orderings_Obot(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 197.76/197.82 class_Groups_Ominus(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Power_Opower,axiom,
% 197.76/197.82 class_Power_Opower(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 197.76/197.82 class_Groups_Ozero(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 197.76/197.82 class_Int_Onumber(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 197.76/197.82 class_Groups_Oone(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Rings_Odvd,axiom,
% 197.76/197.82 class_Rings_Odvd(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Nat_Onat) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 197.76/197.82 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 197.76/197.82 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 197.76/197.82 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 197.76/197.82 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 197.76/197.82 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 197.76/197.82 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 197.76/197.82 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 197.76/197.82 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 197.76/197.82 class_Lattices_Olattice(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 197.76/197.82 class_Orderings_Oorder(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 197.76/197.82 class_Orderings_Otop(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 197.76/197.82 class_Orderings_Oord(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 197.76/197.82 class_Orderings_Obot(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 197.76/197.82 class_Groups_Ouminus(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 197.76/197.82 class_Groups_Ominus(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 197.76/197.82 class_Enum_Oenum(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_HOL_Obool) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Com_Ostate) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 197.76/197.82 ! [T_1] :
% 197.76/197.82 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 197.76/197.82 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_List__Olist__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Finite__Set_Ofinite(T_2)
% 197.76/197.82 & class_Finite__Set_Ofinite(T_1) )
% 197.76/197.82 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_sum__Enum_Oenum,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Enum_Oenum(T_2)
% 197.76/197.82 & class_Enum_Oenum(T_1) )
% 197.76/197.82 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_sum__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 197.76/197.82 ! [T_1] :
% 197.76/197.82 ( class_Finite__Set_Ofinite(T_1)
% 197.76/197.82 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 197.76/197.82 ! [T_1] :
% 197.76/197.82 ( class_Enum_Oenum(T_1)
% 197.76/197.82 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 197.76/197.82 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 197.76/197.82 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Finite__Set_Ofinite(T_2)
% 197.76/197.82 & class_Finite__Set_Ofinite(T_1) )
% 197.76/197.82 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_prod__Enum_Oenum,axiom,
% 197.76/197.82 ! [T_1,T_2] :
% 197.76/197.82 ( ( class_Enum_Oenum(T_2)
% 197.76/197.82 & class_Enum_Oenum(T_1) )
% 197.76/197.82 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_prod__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 197.76/197.82 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 197.76/197.82 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 197.76/197.82 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 197.76/197.82 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 197.76/197.82 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 197.76/197.82 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 197.76/197.82 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 197.76/197.82 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 197.76/197.82 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 197.76/197.82 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 197.76/197.82 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 197.76/197.82 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 197.76/197.82 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 197.76/197.82 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 197.76/197.82 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 197.76/197.82 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 197.76/197.82 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 197.76/197.82 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 197.76/197.82 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 197.76/197.82 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 197.76/197.82 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 197.76/197.82 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 197.76/197.82 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 197.76/197.82 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 197.76/197.82 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 197.76/197.82 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 197.76/197.82 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 197.76/197.82 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 197.76/197.82 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Rings_Odvd,axiom,
% 197.76/197.82 class_Rings_Odvd(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 197.76/197.82 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 197.76/197.82
% 197.76/197.82 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 197.76/197.82 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 197.76/197.82
% 197.76/197.82 %----Helper facts (20)
% 197.76/197.82 fof(help_c__COMBI__1,axiom,
% 197.76/197.82 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__COMBK__1,axiom,
% 197.76/197.82 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__COMBB__1,axiom,
% 197.76/197.82 ! [V_R_2,V_Q_2,V_P_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__COMBC__1,axiom,
% 197.76/197.82 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__COMBS__1,axiom,
% 197.76/197.82 ! [V_R_2,V_Q_2,V_P_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fequal__1,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 197.76/197.82 | V_x_2 = V_y_2 ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fequal__2,axiom,
% 197.76/197.82 ! [V_y_2,V_x_2] :
% 197.76/197.82 ( V_x_2 != V_y_2
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fFalse__1,axiom,
% 197.76/197.82 ~ hBOOL(c_fFalse) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fTrue__1,axiom,
% 197.76/197.82 hBOOL(c_fTrue) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fNot__1,axiom,
% 197.76/197.82 ! [V_P_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 197.76/197.82 | ~ hBOOL(V_P_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fNot__2,axiom,
% 197.76/197.82 ! [V_P_2] :
% 197.76/197.82 ( ~ ~ hBOOL(V_P_2)
% 197.76/197.82 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fconj__1,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(V_P_2)
% 197.76/197.82 | ~ hBOOL(V_Q_2)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fconj__2,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 197.76/197.82 | hBOOL(V_P_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fconj__3,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 197.76/197.82 | hBOOL(V_Q_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fdisj__1,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(V_P_2)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fdisj__2,axiom,
% 197.76/197.82 ! [V_P_2,V_Q_2] :
% 197.76/197.82 ( ~ hBOOL(V_Q_2)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fdisj__3,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 197.76/197.82 | hBOOL(V_P_2)
% 197.76/197.82 | hBOOL(V_Q_2) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fimplies__1,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( hBOOL(V_P_2)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fimplies__2,axiom,
% 197.76/197.82 ! [V_P_2,V_Q_2] :
% 197.76/197.82 ( ~ hBOOL(V_Q_2)
% 197.76/197.82 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 197.76/197.82
% 197.76/197.82 fof(help_c__fimplies__3,axiom,
% 197.76/197.82 ! [V_Q_2,V_P_2] :
% 197.76/197.82 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 197.76/197.82 | ~ hBOOL(V_P_2)
% 197.76/197.82 | hBOOL(V_Q_2) ) ).
% 197.76/197.82
% 197.76/197.82 %----Conjectures (3)
% 197.76/197.82 fof(conj_0,hypothesis,
% 197.76/197.82 ! [B_Z,B_s] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(v_P,B_Z),B_s))
% 197.76/197.82 => ? [B_P_H,B_Q_H] :
% 197.76/197.82 ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
% 197.76/197.82 & ! [B_n] :
% 197.76/197.82 ( ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 197.76/197.82 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 197.76/197.82 => ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
% 197.76/197.82 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) )
% 197.76/197.82 & ! [B_s_H] :
% 197.76/197.82 ( ! [B_Z_H] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(B_P_H,B_Z_H),B_s))
% 197.76/197.82 => hBOOL(hAPP(hAPP(B_Q_H,B_Z_H),B_s_H)) )
% 197.76/197.82 => hBOOL(hAPP(hAPP(v_Q,B_Z),B_s_H)) ) ) ) ).
% 197.76/197.82
% 197.76/197.82 fof(conj_1,hypothesis,
% 197.76/197.82 ! [B_x] :
% 197.76/197.82 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 197.76/197.82 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,B_x) ) ).
% 197.76/197.82
% 197.76/197.82 fof(conj_2,conjecture,
% 197.76/197.82 c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)) ).
% 197.76/197.82
% 197.76/197.82 %------------------------------------------------------------------------------
% 197.76/197.82 %-------------------------------------------
% 197.76/197.82 % Proof found
% 197.76/197.82 % SZS status Theorem for theBenchmark
% 197.76/197.82 % SZS output start Proof
% 197.76/197.83 %ClaNum:10561(EqnAxiom:3177)
% 197.76/197.83 %VarNum:71516(SingletonVarNum:20700)
% 197.76/197.83 %MaxLitNum:8
% 197.76/197.83 %MaxfuncDepth:13
% 197.76/197.83 %SharedTerms:992
% 197.76/197.83 %goalClause: 4803
% 197.76/197.83 %singleGoalClaCount:1
% 197.76/197.83 [3181]P1(a187)
% 197.76/197.83 [3182]P2(a927)
% 197.76/197.83 [3183]P2(a931)
% 197.76/197.83 [3184]P109(a927)
% 197.76/197.83 [3185]P109(a931)
% 197.76/197.83 [3186]P109(a1)
% 197.76/197.83 [3187]P109(a99)
% 197.76/197.83 [3188]P110(a927)
% 197.76/197.83 [3189]P110(a931)
% 197.76/197.83 [3190]P110(a1)
% 197.76/197.83 [3191]P110(a99)
% 197.76/197.83 [3192]P111(a931)
% 197.76/197.83 [3193]P111(a1)
% 197.76/197.83 [3194]P111(a99)
% 197.76/197.83 [3195]P112(a927)
% 197.76/197.83 [3196]P112(a931)
% 197.76/197.83 [3197]P112(a1)
% 197.76/197.83 [3198]P112(a99)
% 197.76/197.83 [3199]P3(a927)
% 197.76/197.83 [3200]P3(a931)
% 197.76/197.83 [3201]P3(a1)
% 197.76/197.83 [3202]P104(a927)
% 197.76/197.83 [3203]P104(a931)
% 197.76/197.83 [3204]P104(a1)
% 197.76/197.83 [3205]P4(a927)
% 197.76/197.83 [3206]P5(a927)
% 197.76/197.83 [3207]P5(a931)
% 197.76/197.83 [3208]P5(a1)
% 197.76/197.83 [3209]P5(a99)
% 197.76/197.83 [3210]P6(a927)
% 197.76/197.83 [3211]P6(a934)
% 197.76/197.83 [3212]P83(a1)
% 197.76/197.83 [3213]P72(a1)
% 197.76/197.83 [3214]P73(a931)
% 197.76/197.83 [3215]P73(a1)
% 197.76/197.83 [3216]P73(a99)
% 197.76/197.83 [3217]P113(a1)
% 197.76/197.83 [3218]P75(a931)
% 197.76/197.83 [3219]P75(a1)
% 197.76/197.83 [3220]P75(a99)
% 197.76/197.83 [3221]P84(a931)
% 197.76/197.83 [3222]P84(a1)
% 197.76/197.83 [3223]P84(a99)
% 197.76/197.83 [3224]P85(a931)
% 197.76/197.83 [3225]P85(a1)
% 197.76/197.83 [3226]P85(a99)
% 197.76/197.83 [3227]P114(a931)
% 197.76/197.83 [3228]P114(a1)
% 197.76/197.83 [3229]P114(a99)
% 197.76/197.83 [3230]P115(a931)
% 197.76/197.83 [3231]P115(a1)
% 197.76/197.83 [3232]P115(a99)
% 197.76/197.83 [3233]P74(a931)
% 197.76/197.83 [3234]P74(a1)
% 197.76/197.83 [3235]P74(a99)
% 197.76/197.83 [3236]P76(a931)
% 197.76/197.83 [3237]P76(a1)
% 197.76/197.83 [3238]P76(a99)
% 197.76/197.83 [3239]P77(a931)
% 197.76/197.83 [3240]P77(a1)
% 197.76/197.83 [3241]P77(a99)
% 197.76/197.83 [3242]P142(a931)
% 197.76/197.83 [3243]P142(a1)
% 197.76/197.83 [3244]P143(a931)
% 197.76/197.83 [3245]P143(a1)
% 197.76/197.83 [3246]P143(a99)
% 197.76/197.83 [3247]P116(a931)
% 197.76/197.83 [3248]P116(a1)
% 197.76/197.83 [3249]P116(a99)
% 197.76/197.83 [3250]P87(a931)
% 197.76/197.83 [3251]P87(a1)
% 197.76/197.83 [3252]P87(a99)
% 197.76/197.83 [3253]P88(a931)
% 197.76/197.83 [3254]P88(a1)
% 197.76/197.83 [3255]P88(a99)
% 197.76/197.83 [3256]P90(a931)
% 197.76/197.83 [3257]P90(a1)
% 197.76/197.83 [3258]P90(a99)
% 197.76/197.83 [3259]P80(a1)
% 197.76/197.83 [3260]P131(a1)
% 197.76/197.83 [3261]P122(a1)
% 197.76/197.83 [3262]P79(a931)
% 197.76/197.83 [3263]P79(a1)
% 197.76/197.83 [3264]P79(a99)
% 197.76/197.83 [3265]P132(a1)
% 197.76/197.83 [3266]P91(a931)
% 197.76/197.83 [3267]P91(a1)
% 197.76/197.83 [3268]P91(a99)
% 197.76/197.83 [3269]P105(a927)
% 197.76/197.83 [3270]P105(a931)
% 197.76/197.83 [3271]P105(a1)
% 197.76/197.83 [3272]P102(a927)
% 197.76/197.83 [3273]P102(a931)
% 197.76/197.83 [3274]P102(a1)
% 197.76/197.83 [3275]P86(a931)
% 197.76/197.83 [3276]P86(a1)
% 197.76/197.83 [3277]P86(a99)
% 197.76/197.83 [3278]P81(a1)
% 197.76/197.83 [3279]P135(a931)
% 197.76/197.83 [3280]P135(a1)
% 197.76/197.83 [3281]P135(a99)
% 197.76/197.83 [3282]P144(a1)
% 197.76/197.83 [3283]P136(a931)
% 197.76/197.83 [3284]P136(a1)
% 197.76/197.83 [3285]P136(a99)
% 197.76/197.83 [3286]P147(a931)
% 197.76/197.83 [3287]P147(a1)
% 197.76/197.83 [3288]P147(a99)
% 197.76/197.83 [3289]P92(a931)
% 197.76/197.83 [3290]P92(a1)
% 197.76/197.83 [3291]P92(a99)
% 197.76/197.83 [3292]P129(a1)
% 197.76/197.83 [3293]P130(a1)
% 197.76/197.83 [3294]P138(a931)
% 197.76/197.83 [3295]P138(a1)
% 197.76/197.83 [3296]P138(a99)
% 197.76/197.83 [3297]P140(a931)
% 197.76/197.83 [3298]P140(a1)
% 197.76/197.83 [3299]P140(a99)
% 197.76/197.83 [3300]P139(a931)
% 197.76/197.83 [3301]P139(a1)
% 197.76/197.83 [3302]P139(a99)
% 197.76/197.83 [3303]P123(a931)
% 197.76/197.83 [3304]P123(a1)
% 197.76/197.83 [3305]P123(a99)
% 197.76/197.83 [3306]P137(a931)
% 197.76/197.83 [3307]P137(a1)
% 197.76/197.83 [3308]P137(a99)
% 197.76/197.83 [3309]P133(a931)
% 197.76/197.83 [3310]P133(a1)
% 197.76/197.83 [3311]P133(a99)
% 197.76/197.83 [3312]P134(a1)
% 197.76/197.83 [3313]P145(a1)
% 197.76/197.83 [3314]P96(a1)
% 197.76/197.83 [3315]P97(a931)
% 197.76/197.83 [3316]P97(a1)
% 197.76/197.83 [3317]P97(a99)
% 197.76/197.83 [3318]P98(a1)
% 197.76/197.83 [3319]P7(a927)
% 197.76/197.83 [3320]P106(a931)
% 197.76/197.83 [3321]P106(a1)
% 197.76/197.83 [3322]P106(a99)
% 197.76/197.83 [3323]P148(a931)
% 197.76/197.83 [3324]P148(a1)
% 197.76/197.83 [3325]P148(a99)
% 197.76/197.83 [3326]P89(a1)
% 197.76/197.83 [3327]P141(a1)
% 197.76/197.83 [3328]P99(a927)
% 197.76/197.83 [3329]P93(a927)
% 197.76/197.83 [3330]P93(a1)
% 197.76/197.83 [3331]P124(a1)
% 197.76/197.83 [3332]P117(a1)
% 197.76/197.83 [3333]P146(a1)
% 197.76/197.83 [3334]P78(a1)
% 197.76/197.83 [3335]P65(a931)
% 197.76/197.83 [3336]P65(a1)
% 197.76/197.83 [3337]P65(a99)
% 197.76/197.83 [3338]P66(a1)
% 197.76/197.83 [3339]P118(a931)
% 197.76/197.83 [3340]P118(a1)
% 197.76/197.83 [3341]P118(a99)
% 197.76/197.83 [3342]P149(a931)
% 197.76/197.83 [3343]P149(a1)
% 197.76/197.83 [3344]P149(a99)
% 197.76/197.83 [3345]P94(a1)
% 197.76/197.83 [3346]P119(a927)
% 197.76/197.83 [3347]P103(a927)
% 197.76/197.83 [3348]P82(a931)
% 197.76/197.83 [3349]P82(a1)
% 197.76/197.83 [3350]P82(a99)
% 197.76/197.83 [3351]P120(a931)
% 197.76/197.83 [3352]P95(a931)
% 197.76/197.83 [3353]P95(a1)
% 197.76/197.83 [3354]P95(a99)
% 197.76/197.83 [3355]P67(a927)
% 197.76/197.83 [3356]P67(a934)
% 197.76/197.83 [3357]P108(a927)
% 197.76/197.83 [3358]P108(a931)
% 197.76/197.83 [3359]P108(a928)
% 197.76/197.83 [3360]P108(a99)
% 197.76/197.83 [3361]P108(a934)
% 197.76/197.83 [3362]P108(a929)
% 197.76/197.83 [3363]P108(a322)
% 197.76/197.83 [3364]P107(a1)
% 197.76/197.83 [3365]P107(a934)
% 197.76/197.83 [3366]P125(a931)
% 197.76/197.83 [3367]P125(a1)
% 197.76/197.83 [3368]P125(a99)
% 197.76/197.83 [3369]P121(a1)
% 197.76/197.83 [3370]P101(a927)
% 197.76/197.83 [3386]P41(a931,a239)
% 197.76/197.83 [3387]P41(a931,a316)
% 197.76/197.83 [3388]P42(a931,a239)
% 197.76/197.83 [4730]~E(a97,a82)
% 197.76/197.83 [4731]~P1(a238)
% 197.76/197.83 [3178]E(f2(a1),a82)
% 197.76/197.83 [3179]E(f3(a99),a4)
% 197.76/197.83 [3180]E(f100(a99),a5)
% 197.76/197.83 [3371]E(f188(a931),f2(a931))
% 197.76/197.83 [3372]E(f28(a25),f2(a931))
% 197.76/197.83 [3373]E(f101(a931),f232(a931))
% 197.76/197.83 [3374]E(f110(a931),f233(a931))
% 197.76/197.83 [3375]E(f102(a1),f31(a1))
% 197.76/197.83 [3376]E(f83(a238),f2(a931))
% 197.76/197.83 [3377]E(f83(a187),f2(a931))
% 197.76/197.83 [3378]P8(f77(a1))
% 197.76/197.83 [3379]P8(f2(a1))
% 197.76/197.83 [3435]P41(f938(a931,a931),a32)
% 197.76/197.83 [3780]E(f319(a931,a931,a239,a239),a32)
% 197.76/197.83 [4732]~E(f77(a1),f2(a1))
% 197.76/197.83 [3380]E(f6(f2(a99)),f2(a931))
% 197.76/197.83 [3381]E(f111(f2(a931)),f2(a931))
% 197.76/197.83 [3390]E(f326(f78(a1),a82),a82)
% 197.76/197.83 [3393]E(f326(a112,f2(a931)),f77(a931))
% 197.76/197.83 [3394]E(f326(a104,f77(a1)),f77(a931))
% 197.76/197.83 [3395]E(f326(a5,f77(a931)),f77(a99))
% 197.76/197.83 [3397]E(f326(a5,f2(a931)),f2(a99))
% 197.76/197.83 [3399]E(f326(f103(a1),a82),f2(a1))
% 197.76/197.83 [3400]E(f326(f103(a99),a82),f2(a99))
% 197.76/197.83 [3401]E(f326(a104,f2(a1)),f2(a931))
% 197.76/197.83 [3402]E(f326(f189(a927),a238),f2(a931))
% 197.76/197.83 [3403]E(f326(f189(a927),a187),f2(a931))
% 197.76/197.83 [3404]E(f326(f189(a928),a25),f2(a931))
% 197.76/197.83 [3405]E(f326(f103(a931),a82),f2(a931))
% 197.76/197.83 [3411]E(f326(f78(a1),f77(a1)),a97)
% 197.76/197.83 [3419]E(f326(f189(a99),f2(a99)),f2(a931))
% 197.76/197.83 [3420]E(f326(f100(a1),f77(a931)),f77(a1))
% 197.76/197.83 [3421]E(f326(f100(a1),f2(a931)),f2(a1))
% 197.76/197.83 [3422]E(f326(f78(a1),f2(a1)),f2(a1))
% 197.76/197.83 [3432]E(f326(a104,f77(a1)),f326(a112,f2(a931)))
% 197.76/197.83 [3433]E(f317(f938(a931,a931),a32),a33)
% 197.76/197.83 [3434]E(f318(f938(a931,a931),a32),a34)
% 197.76/197.83 [3461]E(f326(f281(a931),f2(a931)),f188(f939(a931,a927)))
% 197.76/197.83 [3462]E(f326(f282(a931),f2(a931)),f241(f939(a931,a927)))
% 197.76/197.83 [3470]P44(f188(f939(a1,a927)))
% 197.76/197.83 [3504]E(f326(f326(f3(a99),f2(a99)),f77(a99)),f2(a99))
% 197.76/197.83 [3579]P1(f326(f326(f235(a1),a97),f2(a1)))
% 197.76/197.83 [3603]P1(f326(f326(f234(a1),f2(a1)),f77(a1)))
% 197.76/197.83 [3605]P1(f326(f326(f235(a1),f2(a1)),f77(a1)))
% 197.76/197.83 [3813]E(f326(f326(f288(a931,a931,a931),a316),f306(a931,a316)),a239)
% 197.76/197.83 [3852]P46(a1,a931,a104,f326(f234(a1),f2(a1)))
% 197.76/197.83 [3856]E(f326(f326(f39(a931,f939(a931,a927)),f241(f939(a931,a927))),f303(a931)),f188(f939(a931,a927)))
% 197.76/197.83 [3857]E(f326(f326(f40(a931,f939(a931,a927)),f241(f939(a931,a927))),f281(a931)),f241(f939(a931,a927)))
% 197.76/197.83 [3858]E(f326(f326(f40(a931,f939(a931,a927)),f241(f939(a931,a927))),f300(a931)),f241(f939(a931,a927)))
% 197.76/197.83 [3859]E(f326(f326(f40(a931,f939(a931,a927)),f241(f939(a931,a927))),f282(a931)),f241(f939(a931,a927)))
% 197.76/197.83 [3875]P27(a931,a1,f100(a1),f241(f939(a931,a927)))
% 197.76/197.83 [3889]P46(a931,a1,f100(a1),f326(f18(a927,a931),a187))
% 197.76/197.83 [4026]E(f326(f72(a931,a99,a1,a5),a104),f103(a99))
% 197.76/197.83 [4249]P61(a99,a931,a22,a5,f241(f939(a931,a927)))
% 197.76/197.83 [4255]P61(a1,f939(f938(a931,a931),a927),a106,a88,a98)
% 197.76/197.83 [4509]E(f257(a1,a1,a1,a1,f31(a1),f78(a1)),a51)
% 197.76/197.83 [4747]~E(f326(f103(a1),a97),f326(f103(a1),a82))
% 197.76/197.83 [4748]~P1(f326(a193,f77(a1)))
% 197.76/197.83 [4749]~P1(f326(a193,f2(a1)))
% 197.76/197.83 [4786]~P1(f326(f326(f235(a1),a82),f2(a1)))
% 197.76/197.83 [3453]E(f326(f326(f3(a1),a97),a97),a82)
% 197.76/197.83 [3468]E(f326(f100(a1),f326(a112,f2(a931))),f77(a1))
% 197.76/197.83 [3533]E(f326(f35(a934),f241(f939(a934,a927))),f77(a931))
% 197.76/197.83 [3553]P1(f326(a193,f326(f103(a1),a97)))
% 197.76/197.83 [3555]P1(f326(f326(f234(a1),a97),a82))
% 197.76/197.83 [3557]P1(f326(f326(f235(a1),a97),a82))
% 197.76/197.83 [3614]E(f326(f326(f308(a931),f2(a931)),f188(f939(a931,a927))),f326(f300(a931),f2(a931)))
% 197.76/197.83 [3669]P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),a82)))
% 197.76/197.83 [3681]E(f326(f309(a931,a931,a112),f241(f939(a931,a927))),f326(f303(a931),f2(a931)))
% 197.76/197.83 [3718]P10(f938(a931,a931),f241(f939(f938(a931,a931),a927)),a108)
% 197.76/197.83 [4033]E(f326(f72(a931,a1,a99,f100(a1)),a22),a24)
% 197.76/197.83 [4094]P41(a931,f326(f261(f938(a931,a931)),f326(f256(a931,a931,a927),f235(a931))))
% 197.76/197.83 [4777]~P1(f326(a193,f326(f103(a1),a82)))
% 197.76/197.83 [4778]~P1(f326(f326(f234(a1),a82),a97))
% 197.76/197.83 [4779]~P1(f326(f326(f235(a1),a82),a82))
% 197.76/197.83 [4780]~P1(f326(f326(f235(a1),a82),a97))
% 197.76/197.83 [4781]~P1(f326(f326(f235(a1),a97),a97))
% 197.76/197.83 [4792]~P1(f326(f61(a931),f241(f939(a931,a927))))
% 197.76/197.83 [4793]~P1(f326(f61(a1),f241(f939(a1,a927))))
% 197.76/197.83 [4675]E(f326(f256(a1,a1,a927),f326(f326(f10(f939(a1,a927),f939(a1,a927),a1),f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f235(a1),f2(a1))))),f326(f326(f9(a1,a1,f939(a1,a927)),f326(f326(f10(f939(a1,f939(a1,a927)),f939(a1,f939(a1,a927)),a1),f9(a1,a1,a927)),f326(f326(f10(f939(a1,a1),f939(a1,f939(a1,a927)),a1),f326(f10(a1,f939(a1,a927),a1),a323)),a217))),f77(a1)))),a213)
% 197.76/197.83 [4803]~P30(a926,a940,f326(f326(f326(f90(a926),a941),a943),a944))
% 197.76/197.83 [3755]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f78(a1),a97))
% 197.76/197.83 [3795]E(f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97),f326(f326(f3(a1),a82),a97))
% 197.76/197.83 [3959]E(f326(f326(f60(f938(a931,a931)),f241(f939(f938(a931,a931),a927))),a108),a98)
% 197.76/197.83 [3988]E(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a1))
% 197.76/197.83 [3989]E(f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a99))
% 197.76/197.83 [3990]E(f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(a931))
% 197.76/197.83 [3994]E(f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(a112,f2(a931)))
% 197.76/197.83 [4377]E(f326(f326(f110(f939(f938(f938(a931,a931),f938(a931,a931)),a927)),a32),f306(f938(a931,a931),f188(f939(f938(f938(a931,a931),f938(a931,a931)),a927)))),a70)
% 197.76/197.83 [4443]E(f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),f77(a931)),f2(a931))),f188(f939(f938(a931,a931),a927))))),f77(a1))
% 197.76/197.83 [4444]E(f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),f2(a931)),f2(a931))),f188(f939(f938(a931,a931),a927))))),f2(a1))
% 197.76/197.83 [4457]E(f326(f261(f938(a931,a931)),f326(f256(a931,a931,a927),f326(f326(f10(a931,f939(a931,a927),a931),f326(f9(a931,a931,a927),a323)),a112))),a316)
% 197.76/197.83 [4429]E(f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(a112,f326(a112,f2(a931))))
% 197.76/197.83 [4432]E(f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f326(f79(a931),f77(a931)),f77(a931)))
% 197.76/197.83 [4433]E(f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),f326(f35(a927),f241(f939(a927,a927))))
% 197.76/197.83 [4496]P8(f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 197.76/197.83 [4565]P29(f939(f938(a931,a931),a927),f326(f326(f251(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927),f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)),a33),a71))
% 197.76/197.83 [4566]P29(f939(f938(a931,a931),a927),f326(f326(f251(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927),f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)),a34),a69))
% 197.76/197.83 [4606]E(f326(f326(f110(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)),f318(f938(a931,a931),a70)),f326(f326(f308(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f188(f939(f938(a931,a931),a927))),f188(f939(f938(a931,a931),a927)))),f188(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)))),a69)
% 197.76/197.83 [4607]E(f326(f326(f110(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)),f317(f938(a931,a931),a70)),f326(f326(f308(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f188(f939(f938(a931,a931),a927))),f188(f939(f938(a931,a931),a927)))),f188(f939(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a927)))),a71)
% 197.76/197.83 [4498]E(f326(a104,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,f2(a931))))
% 197.76/197.83 [4543]E(f326(f100(a1),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 197.76/197.83 [4576]P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.83 [4577]E(f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)),f326(a112,f326(a112,f326(a112,f2(a931)))))
% 197.76/197.83 [4621]P8(f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 197.76/197.83 [4647]E(f326(f100(a1),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97)))
% 197.76/197.83 [4660]P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))))
% 197.76/197.83 [3389]P9(x33891,a323)
% 197.76/197.83 [3781]P27(a931,a931,a112,x37811)
% 197.76/197.83 [3382]P108(f930(x33821))
% 197.76/197.83 [3383]P108(f935(x33831))
% 197.76/197.83 [3384]P108(f932(x33841))
% 197.76/197.83 [3385]P108(f933(x33851))
% 197.76/197.83 [3406]P41(a1,f105(x34061))
% 197.76/197.83 [3407]P41(a1,f107(x34071))
% 197.76/197.83 [3457]P41(f939(x34571,a927),f313(x34571))
% 197.76/197.83 [3458]P42(f939(x34581,a927),f313(x34581))
% 197.76/197.83 [3482]E(f242(x34821,x34821,a323),a323)
% 197.76/197.83 [3497]E(f45(a1,x34971,x34971),f2(a1))
% 197.76/197.83 [3550]P16(x35501,f939(x35501,a927),f308(x35501))
% 197.76/197.83 [4734]~E(f326(a112,x47341),x47341)
% 197.76/197.83 [4744]~E(f326(a112,x47441),f2(a931))
% 197.76/197.83 [3391]E(f326(f189(a931),x33911),x33911)
% 197.76/197.83 [3392]E(f326(f103(a1),x33921),x33921)
% 197.76/197.83 [3408]E(f326(a88,f327(x34081)),x34081)
% 197.76/197.83 [3409]E(f326(a5,f590(x34091)),x34091)
% 197.76/197.83 [3410]E(f240(x34101,f2(a99)),f2(a99))
% 197.76/197.83 [3423]E(f114(x34231,f113(x34231)),f113(x34231))
% 197.76/197.83 [3424]E(f152(x34241,f113(x34241)),f113(x34241))
% 197.76/197.83 [3429]E(f326(f167(x34291),f113(x34291)),f113(x34291))
% 197.76/197.83 [3430]E(f326(f171(x34301),f113(x34301)),f113(x34301))
% 197.76/197.83 [3431]E(f326(f168(x34311),f113(x34311)),f113(x34311))
% 197.76/197.83 [3436]E(f326(f103(a1),x34361),f326(f102(a1),x34361))
% 197.76/197.83 [3437]E(f326(a88,f326(a106,x34371)),x34371)
% 197.76/197.83 [3439]E(f326(a5,f326(a22,x34391)),x34391)
% 197.76/197.83 [3440]E(f326(a22,f326(a5,x34401)),x34401)
% 197.76/197.83 [3442]P8(f326(f100(a1),x34421))
% 197.76/197.83 [3451]E(f326(f189(f932(x34511)),f113(x34511)),f2(a931))
% 197.76/197.83 [3452]E(f326(f189(f933(x34521)),f119(x34521)),f2(a931))
% 197.76/197.83 [3473]E(f326(f326(f3(a931),x34731),f2(a931)),x34731)
% 197.76/197.83 [3474]E(f326(f326(f80(a931),x34741),f77(a931)),x34741)
% 197.76/197.83 [3475]E(f326(f326(f80(a1),x34751),f77(a1)),x34751)
% 197.76/197.83 [3476]E(f326(f326(f79(a931),x34761),f2(a931)),x34761)
% 197.76/197.83 [3477]E(f326(f326(f79(a1),x34771),f2(a1)),x34771)
% 197.76/197.83 [3478]E(f326(f326(f233(a931),x34781),f2(a931)),x34781)
% 197.76/197.83 [3479]E(f326(f326(f80(a931),x34791),f2(a931)),f2(a931))
% 197.76/197.83 [3480]E(f326(f326(f36(a1),x34801),f2(a1)),f2(a1))
% 197.76/197.83 [3481]E(f326(f326(f232(a931),x34811),f2(a931)),f2(a931))
% 197.76/197.83 [3488]E(f326(f172(x34881),f113(x34881)),f188(f939(x34881,a927)))
% 197.76/197.83 [3492]P1(f326(f137(x34921),f113(x34921)))
% 197.76/197.83 [3498]E(f326(f154(x34981,x34981),f7(x34981)),f31(f932(x34981)))
% 197.76/197.83 [3499]E(f326(f154(x34991,x34991),f31(x34991)),f31(f932(x34991)))
% 197.76/197.83 [3500]E(f45(a1,x35001,f2(a1)),x35001)
% 197.76/197.83 [3501]E(f326(f234(a931),f326(a112,x35011)),f326(f235(a931),x35011))
% 197.76/197.83 [3502]E(f326(f281(a931),f326(a112,x35021)),f326(f300(a931),x35021))
% 197.76/197.83 [3503]E(f326(f282(a931),f326(a112,x35031)),f326(f303(a931),x35031))
% 197.76/197.83 [3505]E(f45(a1,f2(a1),x35051),f2(a1))
% 197.76/197.83 [3518]E(f326(f326(f79(a931),x35181),f77(a931)),f326(a112,x35181))
% 197.76/197.83 [3527]E(f326(f301(a931,x35271),f2(a931)),f188(f939(a931,a927)))
% 197.76/197.83 [3539]E(f302(a931,f2(a931),x35391),f326(f300(a931),x35391))
% 197.76/197.83 [3582]E(f326(f326(f3(a931),f326(a112,x35821)),f77(a931)),x35821)
% 197.76/197.83 [3594]E(f47(f2(a1),x35941),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 197.76/197.83 [3644]P1(f326(f326(f235(a931),x36441),f326(a112,x36441)))
% 197.76/197.83 [3656]P1(f326(f326(f235(a931),f2(a931)),f326(a112,x36561)))
% 197.76/197.83 [3888]E(f91(x38881,x38881,f241(f939(x38881,a927)),f31(x38881)),f31(x38881))
% 197.76/197.83 [3946]E(f326(f326(f3(a99),f326(a5,f326(a112,f326(a22,x39461)))),f77(a99)),x39461)
% 197.76/197.83 [4017]P1(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x40171))),f2(a1)))
% 197.76/197.83 [4164]P1(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41641)))),f2(a1)))
% 197.76/197.83 [4754]~E(f241(f939(x47541,a927)),f188(f939(x47541,a927)))
% 197.76/197.83 [4789]~P1(f326(f326(f235(a931),x47891),f2(a931)))
% 197.76/197.83 [4802]~P1(f326(f326(f235(a1),f326(f100(a1),x48021)),f2(a1)))
% 197.76/197.83 [3441]E(f120(x34411,f119(f933(x34411))),f119(x34411))
% 197.76/197.83 [3456]E(f179(x34561,f113(f932(x34561))),f113(f932(x34561)))
% 197.76/197.83 [3459]E(f326(f326(f80(a1),a82),x34591),a82)
% 197.76/197.83 [3460]E(f326(f326(f79(a1),a82),x34601),x34601)
% 197.76/197.83 [3463]E(f326(a104,f326(f100(a1),x34631)),x34631)
% 197.76/197.83 [3464]E(f326(f326(f3(a1),x34641),a82),x34641)
% 197.76/197.83 [3465]E(f326(f326(f79(a1),x34651),a82),x34651)
% 197.76/197.83 [3467]E(f326(f326(f3(a931),x34671),x34671),f2(a931))
% 197.76/197.83 [3471]E(f326(f35(a931),f326(f281(a931),x34711)),x34711)
% 197.76/197.83 [3472]E(f326(f78(a1),f326(f78(a1),x34721)),x34721)
% 197.76/197.83 [3483]E(f326(f326(f80(a931),f77(a931)),x34831),x34831)
% 197.76/197.83 [3484]E(f326(f326(f80(a1),f77(a1)),x34841),x34841)
% 197.76/197.83 [3485]E(f326(f326(f79(a931),f2(a931)),x34851),x34851)
% 197.76/197.83 [3486]E(f326(f326(f79(a1),f2(a1)),x34861),x34861)
% 197.76/197.83 [3487]E(f326(f326(f233(a931),f2(a931)),x34871),x34871)
% 197.76/197.83 [3493]E(f326(f326(f3(a931),f2(a931)),x34931),f2(a931))
% 197.76/197.83 [3494]E(f326(f326(f80(a931),f2(a931)),x34941),f2(a931))
% 197.76/197.83 [3495]E(f326(f326(f36(a1),f2(a1)),x34951),f2(a1))
% 197.76/197.83 [3496]E(f326(f326(f232(a931),f2(a931)),x34961),f2(a931))
% 197.76/197.83 [3506]E(f128(x35061,f326(f78(a1),x35061)),f132(a1,x35061))
% 197.76/197.83 [3511]E(f326(f301(a931,f2(a931)),x35111),f326(f281(a931),x35111))
% 197.76/197.83 [3512]E(f326(f326(f80(a1),a97),x35121),f326(f78(a1),x35121))
% 197.76/197.83 [3520]E(f326(a104,f326(f103(a1),x35201)),f326(f103(a931),x35201))
% 197.76/197.83 [3521]E(f326(a22,f326(f103(a99),x35211)),f326(f103(a931),x35211))
% 197.76/197.83 [3522]E(f326(f35(a931),f326(f300(a931),x35221)),f326(a112,x35221))
% 197.76/197.83 [3531]E(f326(f326(f79(a931),f77(a931)),x35311),f326(a112,x35311))
% 197.76/197.83 [3535]E(f326(f75(a1),f326(f100(a1),x35351)),f326(f100(a1),x35351))
% 197.76/197.83 [3536]E(f326(f102(a1),f326(f100(a1),x35361)),f326(f100(a1),x35361))
% 197.76/197.83 [3540]E(f326(f35(x35401),f188(f939(x35401,a927))),f2(a931))
% 197.76/197.83 [3542]E(f326(f326(f36(a931),x35421),f326(a112,f2(a931))),x35421)
% 197.76/197.83 [3551]E(f45(a931,x35511,f326(a112,f2(a931))),f2(a931))
% 197.76/197.83 [3552]E(f45(a1,x35521,f326(f103(a1),a97)),f2(a1))
% 197.76/197.83 [3566]E(f326(f326(f36(a1),x35661),f326(f103(a1),a97)),f326(f78(a1),x35661))
% 197.76/197.83 [3570]E(f139(a931,f326(f301(a931,x35701),f2(a931))),f113(a931))
% 197.76/197.83 [3571]E(f326(f326(f79(a1),x35711),f77(a1)),f326(f326(f3(a1),x35711),a97))
% 197.76/197.83 [3572]E(f326(f326(f3(a1),x35721),f77(a1)),f326(f326(f79(a1),x35721),a97))
% 197.76/197.83 [3576]P1(f326(f326(f234(a931),x35761),x35761))
% 197.76/197.83 [3577]P1(f326(f326(f234(a1),x35771),x35771))
% 197.76/197.83 [3578]P1(f326(f326(f286(a931),x35781),x35781))
% 197.76/197.83 [3583]E(f326(f78(a1),f326(f103(a1),x35831)),f326(f103(a1),f326(f78(a1),x35831)))
% 197.76/197.83 [3584]P1(f326(f61(a931),f326(f281(a931),x35841)))
% 197.76/197.83 [3585]P1(f326(f61(a931),f326(f300(a931),x35851)))
% 197.76/197.83 [3592]E(f161(x35921,f241(f939(x35921,a927))),f241(f939(f932(x35921),a927)))
% 197.76/197.83 [3597]P1(f326(f326(f234(a931),f2(a931)),x35971))
% 197.76/197.83 [3607]E(f326(f326(f79(a931),f111(x36071)),f326(a112,f2(a931))),f111(f326(a112,x36071)))
% 197.76/197.83 [3608]E(f326(f261(x36081),f326(f18(a927,x36081),a238)),f188(f939(x36081,a927)))
% 197.76/197.83 [3609]E(f326(f261(x36091),f326(f18(a927,x36091),a187)),f241(f939(x36091,a927)))
% 197.76/197.83 [3613]E(f326(f326(f308(a931),x36131),f326(f281(a931),x36131)),f326(f281(a931),f326(a112,x36131)))
% 197.76/197.83 [3625]E(f326(f326(f79(a1),f77(a1)),f326(f100(a1),x36251)),f326(f100(a1),f326(a112,x36251)))
% 197.76/197.83 [3627]E(f326(f326(f151(f932(x36271)),f113(x36271)),f113(f932(x36271))),f54(x36271,f113(x36271)))
% 197.76/197.83 [3647]E(f188(f939(f938(x36471,x36471),a927)),f262(x36471,f188(f939(x36471,a927))))
% 197.76/197.83 [3648]E(f326(f307(x36481),f241(f939(x36481,a927))),f241(f939(f939(x36481,a927),a927)))
% 197.76/197.83 [3649]E(f326(f78(f939(x36491,a927)),f188(f939(x36491,a927))),f241(f939(x36491,a927)))
% 197.76/197.83 [3650]E(f326(f78(f939(x36501,a927)),f241(f939(x36501,a927))),f188(f939(x36501,a927)))
% 197.76/197.83 [3652]P1(f326(f61(x36521),f188(f939(x36521,a927))))
% 197.76/197.83 [3654]E(f326(f301(a931,x36541),f326(a112,x36541)),f326(f326(f308(a931),x36541),f188(f939(a931,a927))))
% 197.76/197.83 [3655]E(f84(f938(a931,a931),f48(x36551,f2(a931))),f326(f326(f251(a931,a931),f2(a931)),x36551))
% 197.76/197.83 [3668]E(f326(f326(f308(a931),f326(a112,x36681)),f326(f300(a931),x36681)),f326(f300(a931),f326(a112,x36681)))
% 197.76/197.83 [3672]P41(x36721,f188(f939(f938(x36721,x36721),a927)))
% 197.76/197.83 [3673]P43(x36731,f188(f939(f938(x36731,x36731),a927)))
% 197.76/197.83 [3676]P1(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x36761)))
% 197.76/197.83 [3683]E(f326(f326(f79(a931),f326(f189(a931),x36831)),f326(a112,f2(a931))),f326(f189(a931),f326(a112,x36831)))
% 197.76/197.83 [3788]P44(f326(f309(a931,a1,f100(a1)),x37881))
% 197.76/197.83 [3828]P57(x38281,f188(f939(x38281,a927)),f188(f939(f938(x38281,x38281),a927)))
% 197.76/197.83 [3848]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f3(a1),x38481),f77(a1))),f50(f326(f103(a1),a97),x38481))
% 197.76/197.83 [3901]P64(x39011,f326(f18(f939(x39011,a927),x39011),f326(f18(a927,x39011),a238)))
% 197.76/197.83 [3913]E(f289(a931,f286(a931),x39131,x39131),f326(f326(f308(a931),x39131),f188(f939(a931,a927))))
% 197.76/197.83 [4106]P1(f326(f326(f328(f939(f938(a931,a931),a927)),f327(x41061)),a98))
% 197.76/197.83 [4132]P1(f326(f326(f328(f939(f938(a931,a931),a927)),f326(a106,x41321)),a98))
% 197.76/197.83 [4264]P27(x42641,f939(x42641,a927),f326(f326(f9(x42641,f939(x42641,a927),f939(x42641,a927)),f308(x42641)),f188(f939(x42641,a927))),f241(f939(x42641,a927)))
% 197.76/197.83 [4751]~E(f326(f326(f79(a1),x47511),x47511),a97)
% 197.76/197.83 [4776]~E(f326(a5,f326(a112,f326(a22,x47761))),f2(a99))
% 197.76/197.83 [4782]~P1(f326(a193,f326(f100(a1),x47821)))
% 197.76/197.83 [4785]~P1(f326(f326(f235(a931),x47851),x47851))
% 197.76/197.83 [4795]~P1(f326(f326(f234(a931),f326(a112,x47951)),x47951))
% 197.76/197.83 [3599]E(f326(a104,f326(f78(a1),f326(f100(a1),x35991))),f2(a931))
% 197.76/197.83 [3602]E(f326(f326(f79(a1),f326(f78(a1),x36021)),x36021),f2(a1))
% 197.76/197.83 [3606]E(f326(f35(a1),f326(f301(a1,f2(a1)),x36061)),f326(a104,x36061))
% 197.76/197.83 [3618]E(f326(f326(f243(a931),f326(a112,f2(a931))),x36181),f326(a112,f2(a931)))
% 197.76/197.83 [3715]E(f326(f280(x37151),f188(f939(f938(x37151,x37151),a927))),f188(f939(x37151,a927)))
% 197.76/197.83 [3723]E(f37(f939(x37231,a927),f188(f939(f939(x37231,a927),a927))),f188(f939(x37231,a927)))
% 197.76/197.83 [3724]E(f37(f939(x37241,a927),f241(f939(f939(x37241,a927),a927))),f241(f939(x37241,a927)))
% 197.76/197.83 [3725]E(f38(f939(x37251,a927),f188(f939(f939(x37251,a927),a927))),f241(f939(x37251,a927)))
% 197.76/197.83 [3726]E(f38(f939(x37261,a927),f241(f939(f939(x37261,a927),a927))),f188(f939(x37261,a927)))
% 197.76/197.83 [3730]P1(f326(f326(f286(a931),f326(a112,f2(a931))),x37301))
% 197.76/197.83 [3771]E(f326(f326(f308(f932(x37711)),f113(x37711)),f188(f939(f932(x37711),a927))),f161(x37711,f188(f939(x37711,a927))))
% 197.76/197.83 [3772]E(f326(f326(f308(f932(x37721)),f113(x37721)),f188(f939(f932(x37721),a927))),f162(x37721,f113(f939(x37721,a927))))
% 197.76/197.83 [3812]E(f326(f326(f79(a931),f6(x38121)),f326(a112,f2(a931))),f6(f326(a5,f326(a112,f326(a22,x38121)))))
% 197.76/197.83 [3839]E(f326(f35(a1),f326(f309(a931,a1,f100(a1)),x38391)),f326(f35(a931),x38391))
% 197.76/197.83 [3840]P1(f326(f326(f234(a931),x38401),f326(f326(f80(a931),x38401),x38401)))
% 197.76/197.83 [3879]E(f326(f309(a1,a931,a104),f302(a1,f2(a1),f326(f100(a1),x38791))),f326(f300(a931),x38791))
% 197.76/197.83 [3896]E(f326(f326(f36(a931),f326(a112,f2(a931))),f326(f103(a931),x38961)),f326(a104,f326(f326(f36(a1),f77(a1)),f326(f103(a1),x38961))))
% 197.76/197.83 [3898]E(f326(f172(a931),f139(a931,f326(f301(a931,f2(a931)),f326(a112,x38981)))),f326(f300(a931),x38981))
% 197.76/197.83 [3899]E(f326(f326(f79(a931),f326(f189(a99),x38991)),f326(a112,f2(a931))),f326(f189(a99),f326(a5,f326(a112,f326(a22,x38991)))))
% 197.76/197.83 [3919]P43(x39191,f306(x39191,f188(f939(f938(x39191,x39191),a927))))
% 197.76/197.83 [3920]P56(x39201,f306(x39201,f188(f939(f938(x39201,x39201),a927))))
% 197.76/197.83 [3921]E(f326(f309(a1,a931,a104),f326(f309(a931,a1,f100(a1)),x39211)),x39211)
% 197.76/197.83 [3952]E(f326(f326(f308(a931),f2(a931)),f326(f309(a931,a931,a112),f326(f281(a931),x39521))),f326(f281(a931),f326(a112,x39521)))
% 197.76/197.83 [3958]P59(x39581,x39581,f306(x39581,f188(f939(f938(x39581,x39581),a927))))
% 197.76/197.83 [3964]P1(f326(a193,f326(f78(a1),f326(f100(a1),f326(a112,x39641)))))
% 197.76/197.83 [3974]E(f326(f326(f3(f939(a931,a927)),f326(f282(a931),x39741)),f326(f326(f308(a931),x39741),f188(f939(a931,a927)))),f326(f282(a931),f326(a112,x39741)))
% 197.76/197.83 [3991]E(f326(f326(f79(a1),f326(f326(f3(a1),a82),x39911)),f326(f326(f3(a1),a82),x39911)),f326(f326(f3(a1),a82),f326(f326(f79(a1),x39911),x39911)))
% 197.76/197.83 [4006]E(f326(f326(f308(f939(x40061,a927)),f188(f939(x40061,a927))),f188(f939(f939(x40061,a927),a927))),f326(f307(x40061),f188(f939(x40061,a927))))
% 197.76/197.83 [4034]E(f326(f326(f3(f939(a931,a927)),f326(f303(a931),x40341)),f326(f326(f308(a931),f326(a112,x40341)),f188(f939(a931,a927)))),f326(f303(a931),f326(a112,x40341)))
% 197.76/197.83 [4144]E(f326(f103(a931),f326(f326(f79(a1),x41441),x41441)),f326(f326(f85(a931,a931),f326(f103(a931),x41441)),f326(f326(f20(a931,a931,a931),f79(a931)),f7(a931))))
% 197.76/197.83 [4518]P16(x45181,f939(x45181,a927),f326(f326(f10(f939(x45181,a927),f939(f939(x45181,a927),f939(x45181,a927)),x45181),f326(f9(f939(x45181,a927),f939(x45181,a927),f939(x45181,a927)),f3(f939(x45181,a927)))),f326(f326(f9(x45181,f939(x45181,a927),f939(x45181,a927)),f308(x45181)),f188(f939(x45181,a927)))))
% 197.76/197.83 [4605]E(f326(f261(f938(a1,a1)),f326(f256(a1,a1,a927),f326(f326(f10(f939(a1,a927),f939(a1,a927),a1),f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),x46051)))),f235(a1)))),f107(x46051))
% 197.76/197.83 [4638]E(f326(f261(f938(a1,a1)),f326(f256(a1,a1,a927),f326(f326(f20(a1,f939(a1,a927),f939(a1,a927)),f326(f326(f10(f939(a927,a927),f939(f939(a1,a927),f939(a1,a927)),a1),f10(a927,a927,a1)),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),x46381)))),f235(a1)))),f105(x46381))
% 197.76/197.83 [4691]E(f326(f261(f938(f939(x46911,a927),f939(x46911,a927))),f326(f256(f939(x46911,a927),f939(x46911,a927),a927),f326(f326(f9(f939(x46911,a927),f939(f939(x46911,a927),a927),f939(f939(x46911,a927),a927)),f326(f326(f10(f939(f939(x46911,a927),f939(a927,a927)),f939(f939(f939(x46911,a927),a927),f939(f939(x46911,a927),a927)),f939(x46911,a927)),f20(f939(x46911,a927),a927,a927)),f326(f326(f10(f939(f939(x46911,a927),a927),f939(f939(x46911,a927),f939(a927,a927)),f939(x46911,a927)),f326(f10(a927,f939(a927,a927),f939(x46911,a927)),a324)),f235(f939(x46911,a927))))),f61(x46911)))),f313(x46911))
% 197.76/197.83 [4799]~P1(f326(f61(f932(x47991)),f241(f939(f932(x47991),a927))))
% 197.76/197.83 [4812]~P1(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x48121)))))
% 197.76/197.83 [3750]E(f326(f326(f3(a1),f326(f326(f79(a1),x37501),a97)),a97),x37501)
% 197.76/197.83 [3764]E(f326(f172(a931),f139(a931,f326(f301(a931,f2(a931)),x37641))),f326(f281(a931),x37641))
% 197.76/197.83 [4013]E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x40131)),x40131),f326(f326(f3(a1),f326(f326(f79(a1),x40131),x40131)),a97))
% 197.76/197.83 [4061]E(f326(f285(x40611,x40611),f306(x40611,f188(f939(f938(x40611,x40611),a927)))),f306(x40611,f188(f939(f938(x40611,x40611),a927))))
% 197.76/197.83 [4109]P1(f326(f326(f234(a931),x41091),f326(f326(f80(a931),x41091),f326(f326(f80(a931),x41091),x41091))))
% 197.76/197.83 [4381]P1(f326(f61(a931),f326(f261(a931),f326(f326(f9(a931,a931,a927),f234(a931)),x43811))))
% 197.76/197.83 [4382]P1(f326(f61(a931),f326(f261(a931),f326(f326(f9(a931,a931,a927),f235(a931)),x43821))))
% 197.76/197.83 [4654]E(f326(f261(f938(x46541,x46541)),f326(f326(f10(f939(x46541,a927),a927,f938(x46541,x46541)),f86(x46541)),f326(f326(f9(f938(x46541,x46541),f939(x46541,f938(x46541,x46541)),f939(x46541,a927)),f326(f326(f10(f939(f938(x46541,x46541),a927),f939(f939(x46541,f938(x46541,x46541)),f939(x46541,a927)),f938(x46541,x46541)),f10(f938(x46541,x46541),a927,x46541)),a323)),f326(f326(f20(x46541,x46541,f938(x46541,x46541)),f251(x46541,x46541)),f7(x46541))))),f306(x46541,f188(f939(f938(x46541,x46541),a927))))
% 197.76/197.83 [4801]~E(f326(f326(f3(a1),f326(f326(f79(a1),x48011),x48011)),a97),a82)
% 197.76/197.83 [4804]~E(f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x48041)),x48041),f2(a1))
% 197.76/197.83 [4155]E(f326(f326(f79(a1),f326(f326(f3(a1),a97),x41551)),f326(f326(f3(a1),a97),x41551)),f326(f326(f3(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x41551),x41551)),a97)))
% 197.76/197.83 [4272]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x42721)),f326(f326(f3(a1),a97),x42721))),a97),f326(f326(f3(a1),a97),f326(f326(f79(a1),x42721),x42721)))
% 197.76/197.83 [4304]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43041),a97)),f326(f326(f79(a1),x43041),a97))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x43041),x43041)),a97))
% 197.76/197.83 [4342]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),a97),x43421)),f326(f326(f3(a1),a97),x43421))),a97),f326(f326(f3(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x43421),x43421)),a97)))
% 197.76/197.83 [4439]E(f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x44391),f2(a931))),f188(f939(f938(a931,a931),a927))))),f326(f100(a1),x44391))
% 197.76/197.83 [4449]E(f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),f331(x44491)),f500(x44491))),f188(f939(f938(a931,a931),a927))))),x44491)
% 197.76/197.83 [4482]E(f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x44821)),f326(f309(a931,a1,f100(a1)),f326(f261(a931),f326(f326(f10(a1,a927,a931),x44821),f100(a1)))))
% 197.76/197.83 [4526]P44(f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x45261)))
% 197.76/197.83 [4546]P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x45461),f188(f939(f938(a931,a931),a927)))),a71))
% 197.76/197.83 [4551]E(f326(f309(a1,a931,a104),f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f10(a931,a927,a1),x45511),a104)))),f326(f261(a931),x45511))
% 197.76/197.83 [4706]E(f311(a931,f326(f326(f40(f938(a931,a931),f939(a931,a927)),f326(a106,x47061)),f326(f256(a931,a931,f939(a931,a927)),f326(f326(f9(a931,f939(a931,a927),f939(a931,f939(a931,a927))),f326(f326(f10(f939(a931,f939(f939(a931,a927),f939(a931,a927))),f939(f939(a931,a927),f939(a931,f939(a931,a927))),a931),f9(a931,f939(a931,a927),f939(a931,a927))),f326(f326(f10(f939(a931,a931),f939(a931,f939(f939(a931,a927),f939(a931,a927))),a931),f326(f10(a931,f939(f939(a931,a927),f939(a931,a927)),a931),f308(a931))),f3(a931)))),f188(f939(a931,a927)))))),f326(a104,x47061))
% 197.76/197.83 [4200]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x42001),x42001)),a97)),a97),f326(f326(f79(a1),x42001),x42001))
% 197.76/197.83 [4250]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x42501),x42501)),a97)),a97),f326(f326(f79(a1),f326(f326(f3(a1),x42501),a97)),f326(f326(f3(a1),x42501),a97)))
% 197.76/197.83 [4455]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),f326(f78(a1),x44551)),a97)),f326(f326(f79(a1),f326(f78(a1),x44551)),a97))),a97),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44551),x44551)),a97)))
% 197.76/197.83 [4499]E(f326(f326(f79(a931),x44991),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(a112,x44991)))
% 197.76/197.83 [4500]E(f326(f326(f80(a931),x45001),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(a931),x45001),x45001))
% 197.76/197.83 [4501]E(f326(f326(f36(a931),f326(f326(f79(a931),x45011),x45011)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45011)
% 197.76/197.83 [4579]E(f45(a931,f326(a112,f326(a112,x45791)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a931,x45791,f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.83 [4721]E(f326(a88,f326(f326(f40(f938(a931,a931),f939(f938(a931,a931),a927)),f326(a106,x47211)),f326(f256(a931,a931,f939(f938(a931,a931),a927)),f326(f326(f10(f939(a931,f939(f938(a931,a931),a927)),f939(a931,f939(f938(a931,a931),a927)),a931),f326(f10(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927),a931),f284(f938(a931,a931),f938(a931,a931),a108))),f326(f326(f9(a931,f939(f938(a931,a931),a927),f939(a931,f939(f938(a931,a931),a927))),f326(f326(f10(f939(a931,f939(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f939(f939(f938(a931,a931),a927),f939(a931,f939(f938(a931,a931),a927))),a931),f9(a931,f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f10(f939(a931,f938(a931,a931)),f939(a931,f939(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),a931),f326(f10(f938(a931,a931),f939(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),a931),f308(f938(a931,a931)))),f326(f9(a931,a931,f938(a931,a931)),f251(a931,a931))))),f188(f939(f938(a931,a931),a927))))))),f326(f78(a1),x47211))
% 197.76/197.83 [4574]E(f326(f326(f79(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45741),f326(a112,f326(a112,x45741)))
% 197.76/197.83 [4575]E(f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x45751),f326(f326(f79(a931),x45751),x45751))
% 197.76/197.83 [4611]E(f326(f326(f36(a931),f326(a112,f326(a112,x46111))),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a112,f326(f326(f36(a931),x46111),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.83 [4661]E(f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46611),f326(a112,f326(a112,f326(a112,x46611))))
% 197.76/197.83 [4728]E(f326(f256(a1,a1,f938(a1,a1)),f326(f326(f20(a1,f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f939(f938(a1,a1),f938(a1,a1))),f939(f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),a1),f20(a1,f938(a1,a1),f938(a1,a1))),f326(f326(f10(f939(a1,f938(a1,a1)),f939(a1,f939(f938(a1,a1),f938(a1,a1))),a1),f326(f20(a1,f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),f326(f326(f10(a927,f939(f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),a1),f96(f938(a1,a1))),f326(f326(f10(a1,a927,a1),f326(f234(a1),f2(a1))),f326(f326(f9(a1,a1,a1),f3(a1)),x47281))))),f326(f326(f9(a1,f939(a1,a1),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f938(a1,a1)),f939(f939(a1,a1),f939(a1,f938(a1,a1))),a1),f10(a1,f938(a1,a1),a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f939(a1,a1),a1),f79(a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f77(a1))))),f326(f326(f9(a1,a1,a1),f3(a1)),x47281))))),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f43(x47281))
% 197.76/197.83 [3791]P45(a25,x37911,x37912,x37911)
% 197.76/197.83 [3426]P108(f937(x34261,x34262))
% 197.76/197.83 [3427]P108(f938(x34271,x34272))
% 197.76/197.83 [3428]P108(f936(x34281,x34282))
% 197.76/197.83 [3445]P15(a1,f178(x34451,x34452))
% 197.76/197.83 [3446]P41(x34461,f153(x34461,x34462))
% 197.76/197.83 [3447]P42(x34471,f262(x34471,x34472))
% 197.76/197.83 [3448]P42(x34481,f306(x34481,x34482))
% 197.76/197.83 [3449]P43(x34491,f262(x34491,x34492))
% 197.76/197.83 [3450]P56(x34501,f262(x34501,x34502))
% 197.76/197.83 [3513]P35(x35131,x35132,f113(x35131))
% 197.76/197.83 [3546]P57(x35461,x35462,f262(x35461,x35462))
% 197.76/197.83 [3547]P59(x35471,x35471,f262(x35471,x35472))
% 197.76/197.83 [3815]P27(x38151,x38151,f7(x38151),x38152)
% 197.76/197.83 [3816]P27(x38161,x38161,f31(x38161),x38162)
% 197.76/197.83 [3824]P36(x38241,x38242,f113(x38241),f113(x38241))
% 197.76/197.83 [3833]P27(f932(x38331),f932(x38331),f168(x38331),x38332)
% 197.76/197.83 [4240]P28(x42401,x42401,f31(x42401),x42402,x42402)
% 197.76/197.83 [4737]~E(f30(x47371,x47372),a25)
% 197.76/197.83 [4738]~E(f29(x47381,x47382),a25)
% 197.76/197.83 [4763]~P37(x47631,x47632,f113(x47631))
% 197.76/197.83 [4764]~P39(x47641,x47642,f113(x47641))
% 197.76/197.83 [3412]E(f326(f7(x34121),x34122),x34122)
% 197.76/197.83 [3413]E(f326(f261(x34131),x34132),x34132)
% 197.76/197.83 [3415]E(f326(f31(x34151),x34152),x34152)
% 197.76/197.83 [3425]E(f326(f191(x34251),x34252),f115(x34251))
% 197.76/197.83 [3443]E(f84(x34431,f326(a323,x34432)),x34432)
% 197.76/197.83 [3444]E(f89(x34441,f326(a323,x34442)),x34442)
% 197.76/197.83 [3466]E(f326(f125(x34661,x34662),f119(x34661)),f2(a931))
% 197.76/197.83 [3469]E(f326(f136(x34691,x34692),f113(x34691)),f113(x34691))
% 197.76/197.83 [3489]E(f306(x34891,f306(x34891,x34892)),f306(x34891,x34892))
% 197.76/197.83 [3490]E(f152(x34901,f152(x34901,x34902)),f152(x34901,x34902))
% 197.76/197.83 [3508]E(f326(f326(f134(x35081),x35082),f113(x35081)),x35082)
% 197.76/197.83 [3514]E(f173(x35141,x35142,f113(x35141)),x35142)
% 197.76/197.83 [3515]E(f173(x35151,f113(x35151),x35152),x35152)
% 197.76/197.83 [3516]E(f116(x35161,f119(x35161),x35162),x35162)
% 197.76/197.83 [3517]E(f169(x35171,f2(a931),x35172),f113(x35171))
% 197.76/197.83 [3523]E(f326(f326(f175(x35231),x35232),f113(x35231)),f113(x35231))
% 197.76/197.83 [3524]E(f326(f326(f138(x35241),x35242),f113(x35241)),f113(x35241))
% 197.76/197.83 [3526]E(f155(x35261,x35262,f113(x35261)),f2(a931))
% 197.76/197.83 [3528]E(f170(x35281,x35282,f113(x35281)),f113(x35281))
% 197.76/197.83 [3529]E(f177(x35291,x35292,f113(x35291)),f113(x35291))
% 197.76/197.83 [3530]E(f176(x35301,f113(x35301),x35302),f113(x35301))
% 197.76/197.83 [3534]E(f326(f172(x35341),f152(x35341,x35342)),f326(f172(x35341),x35342))
% 197.76/197.83 [3537]E(f326(f283(x35371,x35371),f262(x35371,x35372)),x35372)
% 197.76/197.83 [3538]E(f326(f263(x35381,x35381),f262(x35381,x35382)),x35382)
% 197.76/197.83 [3545]E(f326(f285(x35451,x35451),f262(x35451,x35452)),f262(x35451,x35452))
% 197.76/197.83 [3558]E(f306(f932(x35581),f157(x35581,x35582)),f158(x35581,f306(x35581,x35582)))
% 197.76/197.83 [3560]P1(f326(f137(a1),f178(x35601,x35602)))
% 197.76/197.83 [3568]E(f326(f283(x35681,x35681),f306(x35681,x35682)),f241(f939(x35681,a927)))
% 197.76/197.83 [3569]E(f326(f263(x35691,x35691),f306(x35691,x35692)),f241(f939(x35691,a927)))
% 197.76/197.83 [3573]P1(f326(f137(x35731),f152(x35731,x35732)))
% 197.76/197.83 [3575]P1(f326(f160(x35751,x35752),f113(x35751)))
% 197.76/197.83 [3581]E(f326(f172(a1),f178(x35811,x35812)),f302(a1,x35811,x35812))
% 197.76/197.83 [3595]P60(x35951,f188(f939(x35951,a927)),x35952)
% 197.76/197.83 [3600]E(f326(f255(a1,a1),f46(x36001,x36002)),f45(a1,x36001,x36002))
% 197.76/197.83 [3601]E(f326(f301(a931,x36011),f326(a112,x36012)),f302(a931,x36011,x36012))
% 197.76/197.83 [3617]E(f326(f326(f151(x36171),x36172),f113(x36171)),f140(x36171,x36172,f113(x36171)))
% 197.76/197.83 [3629]E(f302(a931,f326(a112,x36291),x36292),f304(a931,x36291,x36292))
% 197.76/197.83 [3632]P57(x36321,f241(f939(x36321,a927)),f306(x36321,x36322))
% 197.76/197.83 [3695]E(f326(f326(f3(a931),x36951),f326(a112,x36952)),f326(f35(a931),f305(a931,x36952,x36951)))
% 197.76/197.83 [3751]E(f166(x37511,x37512,f113(x37511)),f326(f326(f251(f932(x37511),f932(x37511)),f113(x37511)),f113(x37511)))
% 197.76/197.83 [3769]E(f326(f256(x37691,x37692,f938(x37691,x37692)),f251(x37691,x37692)),f31(f938(x37691,x37692)))
% 197.76/197.83 [3773]P1(f326(f326(f328(f932(x37731)),f113(x37731)),f161(x37731,x37732)))
% 197.76/197.83 [3774]E(f326(f189(f932(x37741)),f114(x37741,x37742)),f326(f326(f3(a931),f326(f189(f932(x37741)),x37742)),f77(a931)))
% 197.76/197.83 [3782]P1(f326(f61(a931),f302(a931,x37821,x37822)))
% 197.76/197.83 [3783]P1(f326(f61(a931),f305(a931,x37831,x37832)))
% 197.76/197.83 [3784]P1(f326(f61(a931),f304(a931,x37841,x37842)))
% 197.76/197.83 [3785]P1(f326(f61(a1),f302(a1,x37851,x37852)))
% 197.76/197.83 [3786]P1(f326(f61(a1),f305(a1,x37861,x37862)))
% 197.76/197.83 [3787]P1(f326(f61(a1),f304(a1,x37871,x37872)))
% 197.76/197.83 [3895]E(f326(f309(a931,a931,a112),f302(a931,x38951,x38952)),f302(a931,f326(a112,x38951),f326(a112,x38952)))
% 197.76/197.83 [3915]E(f326(f326(f288(x39151,x39151,x39151),f306(x39151,x39152)),f306(x39151,x39152)),f306(x39151,x39152))
% 197.76/197.83 [3950]E(f326(f326(f251(a99,a99),f326(f326(f36(a99),x39501),x39502)),f45(a99,x39501,x39502)),f23(x39501,x39502))
% 197.76/197.83 [3951]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x39511),x39512)),f45(a1,x39511,x39512)),f46(x39511,x39512))
% 197.76/197.83 [3978]E(f326(f326(f251(a931,a931),f326(f326(f36(a931),x39781),x39782)),f45(a931,x39781,x39782)),f84(f938(a931,a931),f48(x39781,x39782)))
% 197.76/197.83 [4030]P1(f326(f326(f235(a931),f326(f326(f3(a931),x40301),x40302)),f326(a112,x40301)))
% 197.76/197.83 [4080]P42(x40801,f326(f326(f288(x40801,x40801,x40801),x40802),f306(x40801,x40802)))
% 197.76/197.83 [4131]E(f326(f326(f79(a1),f326(f326(f80(a1),x41311),f326(f326(f36(a1),x41312),x41311))),f45(a1,x41312,x41311)),x41312)
% 197.76/197.83 [4135]E(f326(f326(f40(a931,f939(f938(f932(x41351),f932(x41351)),a927)),f241(f939(a931,a927))),f143(x41351,x41352)),f145(x41351,x41352))
% 197.76/197.83 [4358]P1(f326(f326(f328(f938(f932(x43581),f932(x43581))),f326(f326(f251(f932(x43581),f932(x43581)),f113(x43581)),f113(x43581))),f158(x43581,x43582)))
% 197.76/197.83 [4467]E(f252(x44671,x44671,x44671,a323,f252(x44671,x44671,x44671,x44672,a323)),x44672)
% 197.76/197.83 [4511]E(f257(x45111,x45111,x45112,x45112,f7(x45111),f7(x45112)),f31(f938(x45111,x45112)))
% 197.76/197.83 [4513]E(f257(x45131,x45131,x45132,x45132,f31(x45131),f31(x45132)),f31(f938(x45131,x45132)))
% 197.76/197.83 [3507]E(f326(f168(x35071),f326(f168(x35071),x35072)),x35072)
% 197.76/197.83 [3509]E(f326(f326(f138(x35091),f2(a931)),x35092),x35092)
% 197.76/197.83 [3525]E(f326(f326(f175(x35251),f2(a931)),x35252),f113(x35251))
% 197.76/197.83 [3532]E(f326(f326(f134(x35321),f113(x35321)),x35322),x35322)
% 197.76/197.83 [3541]E(f37(f939(x35411,a927),f326(f307(x35411),x35412)),x35412)
% 197.76/197.83 [3543]E(f326(f172(x35431),f326(f167(x35431),x35432)),f326(f172(x35431),x35432))
% 197.76/197.83 [3544]E(f326(f172(x35441),f326(f168(x35441),x35442)),f326(f172(x35441),x35442))
% 197.76/197.83 [3549]E(f326(f326(f3(a99),x35491),x35492),f326(f326(a4,x35491),x35492))
% 197.76/197.83 [3562]E(f326(f326(f80(a931),x35621),x35622),f326(f326(f80(a931),x35622),x35621))
% 197.76/197.83 [3563]E(f326(f326(f80(a1),x35631),x35632),f326(f326(f80(a1),x35632),x35631))
% 197.76/197.83 [3564]E(f326(f326(f79(a931),x35641),x35642),f326(f326(f79(a931),x35642),x35641))
% 197.76/197.83 [3565]E(f326(f326(f79(a1),x35651),x35652),f326(f326(f79(a1),x35652),x35651))
% 197.76/197.83 [3587]E(f326(f326(f183(x35871,x35871),f2(a931)),x35872),f31(x35871))
% 197.76/197.83 [3588]E(f326(f189(f932(x35881)),f326(f167(x35881),x35882)),f326(f189(f932(x35881)),x35882))
% 197.76/197.83 [3589]E(f326(f189(f932(x35891)),f326(f168(x35891),x35892)),f326(f189(f932(x35891)),x35892))
% 197.76/197.83 [3590]E(f176(x35901,x35902,f188(f939(a931,a927))),f113(x35901))
% 197.76/197.83 [3591]E(f326(f326(f154(x35911,x35911),f7(x35911)),x35912),x35912)
% 197.76/197.83 [3593]E(f326(f250(a1,a1),f46(x35931,x35932)),f326(f326(f36(a1),x35931),x35932))
% 197.76/197.83 [3610]E(f326(f189(f932(x36101)),f152(x36101,x36102)),f326(f35(x36101),f326(f172(x36101),x36102)))
% 197.76/197.83 [3611]E(f28(f29(x36111,x36112)),f326(f326(f79(a931),f28(x36112)),f326(a112,f2(a931))))
% 197.76/197.83 [3612]E(f326(f280(x36121),f326(f285(x36121,x36121),x36122)),f326(f280(x36121),x36122))
% 197.76/197.83 [3616]P1(f326(f61(x36161),f326(f172(x36161),x36162)))
% 197.76/197.83 [3624]E(f326(f326(f79(a1),x36241),f326(f78(a1),x36242)),f326(f326(f3(a1),x36241),x36242))
% 197.76/197.83 [3631]P26(x36311,x36312,f188(f939(f930(x36311),a927)))
% 197.76/197.83 [3633]E(f326(f309(x36331,x36331,f7(x36331)),x36332),x36332)
% 197.76/197.83 [3634]E(f326(f309(x36341,x36341,f31(x36341)),x36342),x36342)
% 197.76/197.83 [3635]E(f326(f310(x36351,x36351,f7(x36351)),x36352),x36352)
% 197.76/197.83 [3636]E(f326(f310(x36361,x36361,f31(x36361)),x36362),x36362)
% 197.76/197.83 [3637]P1(f326(f241(f939(x36371,a927)),x36372))
% 197.76/197.83 [3639]E(f326(f35(a931),f326(f301(a931,x36391),x36392)),f326(f326(f3(a931),x36392),x36391))
% 197.76/197.83 [3640]E(f326(f301(a931,f326(a112,x36401)),x36402),f305(a931,x36401,x36402))
% 197.76/197.83 [3653]E(f326(f326(f308(x36531),x36532),f188(f939(x36531,a927))),f326(f261(x36531),f326(a323,x36532)))
% 197.76/197.83 [3658]E(f306(x36581,f326(f285(x36581,x36581),x36582)),f326(f285(x36581,x36581),f306(x36581,x36582)))
% 197.76/197.83 [3663]E(f326(f326(f79(a931),f326(a112,x36631)),x36632),f326(f326(f79(a931),x36631),f326(a112,x36632)))
% 197.76/197.83 [3664]E(f326(f326(f3(a931),f326(a112,x36641)),f326(a112,x36642)),f326(f326(f3(a931),x36641),x36642))
% 197.76/197.83 [3670]E(f55(x36701,f2(a931),x36702),f326(f326(f151(f932(x36701)),f113(x36701)),f113(f932(x36701))))
% 197.76/197.83 [3671]E(f326(f35(a931),f304(a931,x36711,x36712)),f326(f326(f3(a931),x36712),x36711))
% 197.76/197.83 [3680]P41(x36801,f326(f326(f287(a931,x36801),a239),x36802))
% 197.76/197.83 [3682]P15(a931,f139(a931,f326(f301(a931,x36821),x36822)))
% 197.76/197.83 [3684]P1(f326(f61(a931),f326(f301(a931,x36841),x36842)))
% 197.76/197.83 [3685]P1(f326(f61(a1),f326(f301(a1,x36851),x36852)))
% 197.76/197.83 [3688]E(f326(f285(f932(x36881),f932(x36881)),f157(x36881,x36882)),f157(x36881,f326(f285(x36881,x36881),x36882)))
% 197.76/197.83 [3689]E(f326(f189(a928),f29(x36891,x36892)),f326(f326(f79(a931),f326(f189(a928),x36892)),f326(a112,f2(a931))))
% 197.76/197.83 [3691]E(f326(f301(a1,x36911),f326(f326(f79(a1),x36912),f77(a1))),f302(a1,x36911,x36912))
% 197.76/197.83 [3694]E(f326(f326(f36(a1),f326(f78(a1),x36941)),f326(f78(a1),x36942)),f326(f326(f36(a1),x36941),x36942))
% 197.76/197.83 [3702]E(f326(f326(f183(f938(x37021,x37021),a927),f77(a931)),x37022),x37022)
% 197.76/197.83 [3704]E(f326(f326(f110(f939(x37041,a927)),x37042),f188(f939(x37041,a927))),x37042)
% 197.76/197.83 [3705]E(f326(f326(f3(f939(x37051,a927)),x37052),f188(f939(x37051,a927))),x37052)
% 197.76/197.83 [3706]E(f326(f326(f101(f939(x37061,a927)),x37062),f241(f939(x37061,a927))),x37062)
% 197.76/197.83 [3707]E(f326(f250(a931,a931),f84(f938(a931,a931),f48(x37071,x37072))),f326(f326(f36(a931),x37071),x37072))
% 197.76/197.83 [3714]E(f302(a1,f326(f326(f79(a1),x37141),f77(a1)),x37142),f304(a1,x37141,x37142))
% 197.76/197.83 [3719]E(f326(f255(a931,a931),f84(f938(a931,a931),f48(x37191,x37192))),f45(a931,x37191,x37192))
% 197.76/197.83 [3729]P1(f326(f326(f328(x37291),x37292),f241(f939(x37291,a927))))
% 197.76/197.83 [3734]E(f326(f326(f3(a931),f326(a112,x37341)),x37342),f326(f35(a931),f302(a931,x37342,x37341)))
% 197.76/197.83 [3760]E(f326(f326(f110(f939(x37601,a927)),x37602),f241(f939(x37601,a927))),f241(f939(x37601,a927)))
% 197.76/197.83 [3761]E(f326(f326(f3(f939(x37611,a927)),x37612),f241(f939(x37611,a927))),f188(f939(x37611,a927)))
% 197.76/197.83 [3762]E(f326(f326(f101(f939(x37621,a927)),x37622),f188(f939(x37621,a927))),f188(f939(x37621,a927)))
% 197.76/197.83 [3777]E(f45(a1,f326(f100(a1),x37771),f326(f100(a1),x37772)),f326(f100(a1),f45(a931,x37771,x37772)))
% 197.76/197.83 [3778]E(f45(a1,f326(f78(a1),x37781),f326(f78(a1),x37782)),f326(f78(a1),f45(a1,x37781,x37782)))
% 197.76/197.83 [3789]E(f326(f189(f932(x37891)),f326(f171(x37891),x37892)),f326(f326(f3(a931),f326(f189(f932(x37891)),x37892)),f77(a931)))
% 197.76/197.83 [3817]E(f326(f326(f36(a1),f45(a1,x38171,x38172)),x38172),f2(a1))
% 197.76/197.83 [3826]E(f326(a5,f45(a931,f326(a22,x38261),f326(a22,x38262))),f45(a99,x38261,x38262))
% 197.76/197.83 [3861]E(f326(a5,f326(f326(f3(a931),f326(a22,x38611)),f326(a22,x38612))),f326(f326(f3(a99),x38611),x38612))
% 197.76/197.83 [3862]E(f326(a5,f326(f326(f80(a931),f326(a22,x38621)),f326(a22,x38622))),f326(f326(f80(a99),x38621),x38622))
% 197.76/197.83 [3863]E(f326(a5,f326(f326(f79(a931),f326(a22,x38631)),f326(a22,x38632))),f326(f326(f79(a99),x38631),x38632))
% 197.76/197.83 [3864]E(f326(a5,f326(f326(f36(a931),f326(a22,x38641)),f326(a22,x38642))),f326(f326(f36(a99),x38641),x38642))
% 197.76/197.83 [3873]E(f326(f309(a931,a931,a112),f326(f301(a931,x38731),x38732)),f326(f301(a931,f326(a112,x38731)),f326(a112,x38732)))
% 197.76/197.83 [3900]P1(f326(f48(x39001,x39002),f84(f938(a931,a931),f48(x39001,x39002))))
% 197.76/197.83 [3924]E(f326(f326(f79(a931),f326(f326(f79(a931),f28(x39241)),f28(x39242))),f326(a112,f2(a931))),f28(f30(x39241,x39242)))
% 197.76/197.83 [3925]E(f45(a931,f326(a112,f45(a931,x39251,x39252)),x39252),f45(a931,f326(a112,x39251),x39252))
% 197.76/197.83 [3937]E(f326(f326(f40(f939(x39371,a927),f939(x39371,a927)),x39372),f7(f939(x39371,a927))),f37(f939(x39371,a927),x39372))
% 197.76/197.83 [3938]E(f326(f326(f39(f939(x39381,a927),f939(x39381,a927)),x39382),f7(f939(x39381,a927))),f38(f939(x39381,a927),x39382))
% 197.76/197.83 [3939]E(f326(f309(f932(x39391),f939(x39391,a927),f172(x39391)),f326(f172(f932(x39391)),f54(x39391,x39392))),f326(f307(x39391),f326(f172(x39391),x39392)))
% 197.76/197.83 [3943]P1(f326(f326(f328(f939(x39431,a927)),x39432),f326(f307(x39431),x39432)))
% 197.76/197.83 [3949]E(f45(a1,f326(f78(a1),f45(a1,x39491,x39492)),x39492),f45(a1,f326(f78(a1),x39491),x39492))
% 197.76/197.83 [3960]P1(f326(f326(f234(f939(x39601,a927)),x39602),f241(f939(x39601,a927))))
% 197.76/197.83 [3962]E(f326(f326(f288(x39621,x39621,x39621),f306(x39621,x39622)),f306(x39621,f306(x39621,x39622))),f306(x39621,x39622))
% 197.76/197.83 [3963]E(f326(f326(f110(f939(x39631,a927)),f326(f263(x39631,x39631),x39632)),f326(f283(x39631,x39631),x39632)),f326(f280(x39631),x39632))
% 197.76/197.83 [3984]E(f312(x39841,x39842,f241(f939(x39841,a927)),f241(f939(x39842,a927))),f241(f939(f937(x39841,x39842),a927)))
% 197.76/197.83 [4035]P1(f326(f326(f234(a931),f45(a931,x40351,x40352)),x40351))
% 197.76/197.83 [4059]P1(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x40591))),f326(f100(a1),x40592)))
% 197.76/197.83 [4085]P1(f326(f326(f328(f939(x40851,a927)),f188(f939(x40851,a927))),f326(f307(x40851),x40852)))
% 197.76/197.83 [4090]E(f306(x40901,f326(f326(f288(x40901,x40901,x40901),x40902),f306(x40901,x40902))),f306(x40901,x40902))
% 197.76/197.83 [4093]E(f326(f326(f288(x40931,x40931,x40931),f306(x40931,x40932)),x40932),f326(f326(f288(x40931,x40931,x40931),x40932),f306(x40931,x40932)))
% 197.76/197.83 [4095]E(f326(a104,f326(f326(f79(a1),f326(f326(f3(a1),x40951),x40952)),f77(a1))),f326(f35(a1),f302(a1,x40952,x40951)))
% 197.76/197.83 [4110]E(f326(f283(x41101,x41101),f326(f326(f288(x41101,x41101,x41101),x41102),f306(x41101,x41102))),f326(f283(x41101,x41101),x41102))
% 197.76/197.83 [4111]E(f326(f263(x41111,x41111),f326(f326(f288(x41111,x41111,x41111),x41112),f306(x41111,x41112))),f326(f263(x41111,x41111),x41112))
% 197.76/197.83 [4127]E(f326(f326(f79(a931),f326(f326(f79(a931),f326(f189(a928),x41271)),f326(f189(a928),x41272))),f326(a112,f2(a931))),f326(f189(a928),f30(x41271,x41272)))
% 197.76/197.83 [4130]E(f326(f142(f932(x41301),f932(x41301),f134(x41301),f113(x41301)),f169(f932(x41301),x41302,f113(x41301))),f113(x41301))
% 197.76/197.83 [4139]P27(a931,a931,f326(f326(f9(a931,a931,a931),f79(a931)),x41391),x41392)
% 197.76/197.83 [4141]P15(a931,f326(f168(a931),f326(f326(f154(f932(x41411),a931),f189(f932(x41411))),f179(x41411,x41412))))
% 197.76/197.83 [4172]P56(x41721,f326(f326(f110(f939(f938(x41721,x41721),a927)),x41722),f326(f285(x41721,x41721),x41722)))
% 197.76/197.83 [4173]P56(x41731,f326(f326(f101(f939(f938(x41731,x41731),a927)),x41732),f326(f285(x41731,x41731),x41732)))
% 197.76/197.83 [4184]P1(f326(f326(f235(a1),f326(f78(a1),f326(f100(a1),f326(a112,x41841)))),f326(f100(a1),x41842)))
% 197.76/197.83 [4229]E(f326(f142(f932(x42291),x42291,f326(f9(x42291,f932(x42291),f932(x42291)),f151(x42291)),f113(x42291)),x42292),f326(f168(x42291),x42292))
% 197.76/197.83 [4279]P1(f326(f326(f234(f939(f938(f932(x42791),f932(x42791)),a927)),f158(x42791,x42792)),f306(f932(x42791),f157(x42791,x42792))))
% 197.76/197.83 [4308]P1(f326(f48(x43081,x43082),f326(f326(f251(a931,a931),f326(f326(f36(a931),x43081),x43082)),f45(a931,x43081,x43082))))
% 197.76/197.83 [4320]P1(f326(f326(f234(f939(f938(f932(x43201),f932(x43201)),a927)),f157(x43201,f306(x43201,x43202))),f306(f932(x43201),f157(x43201,x43202))))
% 197.76/197.83 [4536]E(f326(f326(f258(f938(a99,a99),a99,f938(a99,a99),f938(x45361,f938(a99,a99))),f266(f326(f165(a99),f326(f326(f154(f938(a99,x45361),a99),f250(a99,x45361)),x45362)))),f326(f326(f10(x45361,f939(f938(a99,a99),f938(x45361,f938(a99,a99))),a99),f251(x45361,f938(a99,a99))),f267(x45361,x45362))),f265(x45361,x45362))
% 197.76/197.83 [4613]E(f223(a931,f938(x46131,f933(x46131)),f2(a931),f326(f256(x46131,f933(x46131),a931),f326(f18(f939(f933(x46131),a931),x46131),f326(f326(f9(f933(x46131),a931,a931),f326(f326(f10(a931,f939(a931,a931),f933(x46131)),f79(a931)),f189(f933(x46131)))),f77(a931)))),f326(f135(x46131),x46132)),f326(f189(f933(x46131)),x46132))
% 197.76/197.83 [4720]E(f326(f256(f939(f938(x47201,x47201),a927),f939(f938(x47201,x47201),a927),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f326(f326(f9(f939(f938(x47201,x47201),a927),f939(f939(f938(x47201,x47201),a927),f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927))),f939(f939(f938(x47201,x47201),a927),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927))))),f326(f326(f10(f939(f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927)),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f939(f939(f939(f938(x47201,x47201),a927),f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927))),f939(f939(f938(x47201,x47201),a927),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927))))),f939(f938(x47201,x47201),a927)),f10(f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927)),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927))),f939(f938(x47201,x47201),a927))),f326(f326(f10(f939(f939(x47202,x47201),f939(f939(f938(x47202,x47202),a927),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f939(f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927)),f939(f939(x47202,x47201),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f939(f938(x47201,x47201),a927)),f20(f939(x47202,x47201),f939(f938(x47202,x47202),a927),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f326(f326(f10(f939(f939(x47202,x47201),f939(f938(x47202,x47202),a927)),f939(f939(x47202,x47201),f939(f939(f938(x47202,x47202),a927),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f939(f938(x47201,x47201),a927)),f326(f10(f939(f938(x47202,x47202),a927),f939(f939(f938(x47202,x47202),a927),f938(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927))),f939(x47202,x47201)),f251(f939(f938(x47202,x47202),a927),f939(f938(x47202,x47202),a927)))),f287(x47201,x47202))))),f287(x47201,x47202))),f73(x47201,x47202))
% 197.76/197.83 [4783]~E(f326(f307(x47831),x47832),f188(f939(f939(x47831,a927),a927)))
% 197.76/197.83 [4794]~P1(f326(f326(f172(x47941),f113(x47941)),x47942))
% 197.76/197.83 [4798]~P1(f326(f326(f328(x47981),x47982),f188(f939(x47981,a927))))
% 197.76/197.83 [4807]~P1(f326(f326(f235(f939(x48071,a927)),x48072),f188(f939(x48071,a927))))
% 197.76/197.83 [3642]E(f326(f326(f3(a931),x36421),f326(f326(f79(a931),x36421),x36422)),f2(a931))
% 197.76/197.83 [3645]E(f326(f326(f110(f939(x36451,a927)),x36452),x36452),x36452)
% 197.76/197.83 [3646]E(f326(f326(f101(f939(x36461,a927)),x36462),x36462),x36462)
% 197.76/197.83 [3674]E(f326(f326(f3(f939(x36741,a927)),x36742),x36742),f188(f939(x36741,a927)))
% 197.76/197.83 [3677]E(f326(f143(x36771,x36772),f2(a931)),f188(f939(f938(f932(x36771),f932(x36771)),a927)))
% 197.76/197.83 [3678]E(f326(f326(f79(a931),x36781),f326(a112,x36782)),f326(a112,f326(f326(f79(a931),x36781),x36782)))
% 197.76/197.83 [3690]E(f194(f326(f100(a1),x36901),f326(f100(a1),x36902)),f326(f100(a1),f326(f326(f3(a931),x36901),x36902)))
% 197.76/197.83 [3693]E(f326(f326(f36(a1),f326(f78(a1),x36931)),x36932),f326(f326(f36(a1),x36931),f326(f78(a1),x36932)))
% 197.76/197.83 [3697]E(f326(f35(a1),f326(f301(a1,x36971),x36972)),f326(a104,f326(f326(f3(a1),x36972),x36971)))
% 197.76/197.83 [3700]E(f326(f326(f79(a931),f326(a112,x37001)),x37002),f326(a112,f326(f326(f79(a931),x37001),x37002)))
% 197.76/197.83 [3703]E(f326(f78(f939(x37031,a927)),f326(f78(f939(x37031,a927)),x37032)),x37032)
% 197.76/197.83 [3716]E(f179(x37161,f326(f326(f151(f932(x37161)),f113(x37161)),x37162)),f179(x37161,x37162))
% 197.76/197.83 [3720]E(f326(f326(f79(a931),x37201),f326(f326(f80(a931),x37201),x37202)),f326(f326(f80(a931),x37201),f326(a112,x37202)))
% 197.76/197.83 [3727]E(f326(f326(a4,f326(a5,x37271)),f326(a5,x37272)),f326(a5,f326(f326(f3(a931),x37271),x37272)))
% 197.76/197.83 [3742]E(f326(f326(f80(a1),f326(f78(a1),x37421)),x37422),f326(f78(a1),f326(f326(f80(a1),x37421),x37422)))
% 197.76/197.83 [3744]E(f326(f326(f243(a1),f326(f100(a1),x37441)),x37442),f326(f100(a1),f326(f326(f243(a931),x37441),x37442)))
% 197.76/197.83 [3745]E(f326(f326(f80(a99),f326(a5,x37451)),f326(a5,x37452)),f326(a5,f326(f326(f80(a931),x37451),x37452)))
% 197.76/197.83 [3746]E(f326(f326(f79(a99),f326(a5,x37461)),f326(a5,x37462)),f326(a5,f326(f326(f79(a931),x37461),x37462)))
% 197.76/197.83 [3747]E(f326(f326(f232(a931),f326(a112,x37471)),f326(a112,x37472)),f326(a112,f326(f326(f232(a931),x37471),x37472)))
% 197.76/197.83 [3748]E(f326(f326(f233(a931),f326(a112,x37481)),f326(a112,x37482)),f326(a112,f326(f326(f233(a931),x37481),x37482)))
% 197.76/197.83 [3753]E(f326(f172(a931),f139(a931,f326(f301(a931,x37531),x37532))),f326(f301(a931,x37531),x37532))
% 197.76/197.83 [3754]E(f311(x37541,f326(f326(f308(x37541),x37542),f188(f939(x37541,a927)))),x37542)
% 197.76/197.83 [3758]E(f326(f283(x37581,x37582),f188(f939(f938(x37581,x37582),a927))),f188(f939(x37582,a927)))
% 197.76/197.83 [3759]E(f326(f263(x37591,x37592),f188(f939(f938(x37591,x37592),a927))),f188(f939(x37591,a927)))
% 197.76/197.83 [3763]E(f326(a104,f326(f326(f3(a1),x37631),x37632)),f326(f35(a1),f304(a1,x37632,x37631)))
% 197.76/197.83 [3768]E(f326(f326(f79(a931),x37681),f326(f326(f80(a931),x37682),x37681)),f326(f326(f80(a931),f326(a112,x37682)),x37681))
% 197.76/197.83 [3770]E(f326(f326(f60(x37701),f188(f939(x37701,a927))),x37702),f188(f939(f939(x37701,a927),a927)))
% 197.76/197.83 [3779]E(f326(f189(f932(a931)),f139(a931,f326(f301(a931,x37791),x37792))),f326(f326(f3(a931),x37792),x37791))
% 197.76/197.83 [3796]E(f326(f326(f110(f939(x37961,a927)),f188(f939(x37961,a927))),x37962),x37962)
% 197.76/197.83 [3797]E(f326(f326(f101(f939(x37971,a927)),f241(f939(x37971,a927))),x37972),x37972)
% 197.76/197.83 [3800]E(f326(f326(f79(a1),f326(f78(a1),x38001)),f326(f78(a1),x38002)),f326(f78(a1),f326(f326(f79(a1),x38001),x38002)))
% 197.76/197.83 [3802]E(f326(f326(f80(a1),f326(f103(a1),x38021)),f326(f103(a1),x38022)),f326(f103(a1),f326(f326(f80(a1),x38021),x38022)))
% 197.76/197.83 [3804]E(f326(f326(f80(a1),f326(f100(a1),x38041)),f326(f100(a1),x38042)),f326(f100(a1),f326(f326(f80(a931),x38041),x38042)))
% 197.76/197.83 [3805]E(f326(f326(f79(a1),f326(f103(a1),x38051)),f326(f103(a1),x38052)),f326(f103(a1),f326(f326(f79(a1),x38051),x38052)))
% 197.76/197.83 [3807]E(f326(f326(f79(a1),f326(f100(a1),x38071)),f326(f100(a1),x38072)),f326(f100(a1),f326(f326(f79(a931),x38071),x38072)))
% 197.76/197.83 [3808]E(f326(f326(f36(a1),f326(f100(a1),x38081)),f326(f100(a1),x38082)),f326(f100(a1),f326(f326(f36(a931),x38081),x38082)))
% 197.76/197.83 [3827]E(f326(f326(f8(x38271,a931),f326(f18(a931,x38271),f77(a931))),x38272),f326(f35(x38271),x38272))
% 197.76/197.83 [3834]E(f326(f78(a1),f45(a1,f326(f78(a1),x38341),x38342)),f45(a1,x38341,f326(f78(a1),x38342)))
% 197.76/197.83 [3836]E(f326(f172(a1),f178(x38361,f326(f326(f3(a1),x38362),f77(a1)))),f326(f301(a1,x38361),x38362))
% 197.76/197.83 [3841]P1(f326(f326(f234(a931),x38411),f326(f326(f79(a931),x38412),x38411)))
% 197.76/197.83 [3842]P1(f326(f326(f234(a931),x38421),f326(f326(f79(a931),x38421),x38422)))
% 197.76/197.83 [3844]E(f326(f326(f110(f939(x38441,a927)),f241(f939(x38441,a927))),x38442),f241(f939(x38441,a927)))
% 197.76/197.83 [3845]E(f326(f326(f3(f939(x38451,a927)),f188(f939(x38451,a927))),x38452),f188(f939(x38451,a927)))
% 197.76/197.83 [3846]E(f326(f326(f101(f939(x38461,a927)),f188(f939(x38461,a927))),x38462),f188(f939(x38461,a927)))
% 197.76/197.83 [3853]E(f326(f326(f251(a1,a1),x38531),f326(f78(a1),x38532)),f326(a51,f326(f326(f251(a1,a1),x38531),x38532)))
% 197.76/197.83 [3854]E(f326(f301(a1,f326(f326(f79(a1),x38541),f77(a1))),x38542),f305(a1,x38541,x38542))
% 197.76/197.83 [3865]E(f326(f326(f80(a931),x38651),f326(f326(f36(a931),x38652),x38651)),f326(f326(f3(a931),x38652),f45(a931,x38652,x38651)))
% 197.76/197.83 [3866]E(f326(f326(f80(a1),x38661),f326(f326(f36(a1),x38662),x38661)),f326(f326(f3(a1),x38662),f45(a1,x38662,x38661)))
% 197.76/197.83 [3870]E(f326(f172(a1),f178(f326(f326(f79(a1),x38701),f77(a1)),x38702)),f304(a1,x38701,x38702))
% 197.76/197.83 [3874]P1(f326(f326(f234(f939(x38741,a927)),x38742),x38742))
% 197.76/197.83 [3877]E(f326(f326(f110(f939(x38771,a927)),x38772),f326(f78(f939(x38771,a927)),x38772)),f241(f939(x38771,a927)))
% 197.76/197.83 [3878]E(f326(f326(f101(f939(x38781,a927)),x38782),f326(f78(f939(x38781,a927)),x38782)),f188(f939(x38781,a927)))
% 197.76/197.83 [3886]E(f326(f326(f3(a931),f326(f326(f3(a931),x38861),f77(a931))),x38862),f326(f326(f3(a931),x38861),f326(a112,x38862)))
% 197.76/197.83 [3892]E(f326(f326(f3(f939(x38921,a927)),f241(f939(x38921,a927))),x38922),f326(f78(f939(x38921,a927)),x38922))
% 197.76/197.83 [3893]E(f326(f326(f3(a1),f326(f103(a1),x38931)),f326(f103(a1),x38932)),f326(f103(a1),f326(f326(f79(a1),x38931),f326(f78(a1),x38932))))
% 197.76/197.83 [3906]E(f326(f172(a931),f139(a931,f326(f301(a931,x39061),f326(a112,x39062)))),f302(a931,x39061,x39062))
% 197.76/197.83 [3922]E(f326(f189(f932(f932(x39221))),f54(x39221,x39222)),f326(f326(f243(a931),f326(a112,f326(a112,f2(a931)))),f326(f189(f932(x39221)),x39222)))
% 197.76/197.83 [3941]E(f326(f326(f183(f938(x39411,x39411),a927),f2(a931)),x39412),f306(x39411,f188(f939(f938(x39411,x39411),a927))))
% 197.76/197.83 [3945]P1(f326(f137(a931),f139(a931,f326(f301(a931,x39451),x39452))))
% 197.76/197.83 [3961]E(f326(f309(a1,a931,a104),f302(a1,f326(f100(a1),x39611),f326(f100(a1),x39612))),f302(a931,x39611,x39612))
% 197.76/197.83 [3970]E(f185(a931,f2(a931),f7(a931),f326(f326(f3(a931),x39701),x39702)),f326(f326(f3(a931),x39701),f326(a112,x39702)))
% 197.76/197.83 [3971]E(f326(a104,f326(f326(f3(a1),x39711),f326(f326(f79(a1),x39712),f77(a1)))),f326(f35(a1),f305(a1,x39712,x39711)))
% 197.76/197.83 [4007]E(f326(f326(f154(a931,a931),a112),f139(a931,f326(f301(a931,x40071),x40072))),f139(a931,f326(f301(a931,f326(a112,x40071)),f326(a112,x40072))))
% 197.76/197.83 [4015]E(f326(f172(a1),f178(f326(f326(f79(a1),x40151),f77(a1)),f326(f326(f3(a1),x40152),f77(a1)))),f305(a1,x40151,x40152))
% 197.76/197.83 [4027]P1(f326(f326(f234(f939(x40271,a927)),f188(f939(x40271,a927))),x40272))
% 197.76/197.83 [4031]E(f84(x40311,f326(f326(f9(x40311,x40311,a927),a323),x40312)),x40312)
% 197.76/197.83 [4032]E(f89(x40321,f326(f326(f9(x40321,x40321,a927),a323),x40322)),x40322)
% 197.76/197.83 [4036]E(f326(f172(a931),f139(a931,f326(f301(a931,f326(a112,x40361)),f326(a112,x40362)))),f304(a931,x40361,x40362))
% 197.76/197.83 [4062]E(f326(f326(f253(x40621,x40622),f241(f939(x40621,a927))),f326(f18(f939(x40622,a927),x40621),f241(f939(x40622,a927)))),f241(f939(f938(x40621,x40622),a927)))
% 197.76/197.83 [4097]E(f326(f261(x40971),f326(f326(f10(a927,a927,x40971),a321),x40972)),f326(f78(f939(x40971,a927)),f326(f261(x40971),x40972)))
% 197.76/197.83 [4100]E(f326(f261(x41001),f326(f326(f9(x41001,x41001,a927),a323),x41002)),f326(f326(f308(x41001),x41002),f188(f939(x41001,a927))))
% 197.76/197.83 [4107]E(f326(f326(f79(a1),f326(f326(f3(a1),x41071),x41072)),f326(f326(f3(a1),x41071),x41072)),f326(f326(f3(a1),f326(f326(f79(a1),x41071),x41071)),f326(f326(f79(a1),x41072),x41072)))
% 197.76/197.83 [4108]E(f326(f326(f79(a1),f326(f326(f79(a1),x41081),x41081)),f326(f326(f79(a1),x41082),x41082)),f326(f326(f79(a1),f326(f326(f79(a1),x41081),x41082)),f326(f326(f79(a1),x41081),x41082)))
% 197.76/197.83 [4124]P1(f326(f326(f234(a931),f326(f35(x41241),f326(f172(x41241),x41242))),f326(f189(f932(x41241)),x41242)))
% 197.76/197.83 [4125]P1(f326(f326(f234(a931),f326(f189(f932(x41251)),f152(x41251,x41252))),f326(f189(f932(x41251)),x41252)))
% 197.76/197.83 [4136]E(f326(f261(x41361),f326(f326(f9(x41361,f939(x41361,a927),a927),f328(x41361)),x41362)),x41362)
% 197.76/197.83 [4150]E(f326(f326(f175(x41501),f326(f326(f3(a931),f326(f189(f932(x41501)),x41502)),f77(a931))),x41502),f114(x41501,x41502))
% 197.76/197.83 [4171]E(f185(a931,f2(a931),f326(f326(f10(a931,a931,a931),a112),f326(f232(a931),x41711)),x41712),f326(f326(f232(a931),f326(a112,x41711)),x41712))
% 197.76/197.83 [4176]E(f37(f939(x41761,a927),f326(f309(f939(f938(x41761,x41761),a927),f939(x41761,a927),f280(x41761)),x41762)),f326(f280(x41761),f37(f939(f938(x41761,x41761),a927),x41762)))
% 197.76/197.83 [4177]E(f185(a931,f326(a112,x41771),f326(f326(f10(a931,a931,a931),a112),f326(f233(a931),x41771)),x41772),f326(f326(f233(a931),f326(a112,x41771)),x41772))
% 197.76/197.83 [4179]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),f326(f75(a1),x41791)),f326(f75(a1),x41792))),f45(a1,f326(f75(a1),x41791),f326(f75(a1),x41792))),f53(x41791,x41792))
% 197.76/197.83 [4202]P1(f326(f326(f234(f939(f939(x42021,a927),a927)),x42022),f326(f307(x42021),f37(f939(x42021,a927),x42022))))
% 197.76/197.83 [4234]E(f326(f326(f40(x42341,f939(x42341,a927)),x42342),f326(f326(f9(x42341,f939(x42341,a927),f939(x42341,a927)),f308(x42341)),f188(f939(x42341,a927)))),x42342)
% 197.76/197.83 [4235]E(f326(f326(f288(x42351,x42351,x42351),f326(f285(x42351,x42351),x42352)),f306(x42351,f326(f285(x42351,x42351),x42352))),f326(f285(x42351,x42351),f326(f326(f288(x42351,x42351,x42351),x42352),f306(x42351,x42352))))
% 197.76/197.83 [4300]E(f326(f172(x43001),f326(f142(f932(x43001),f932(x43001),f134(x43001),f113(x43001)),x43002)),f326(f326(f40(f932(x43001),f939(x43001,a927)),f326(f172(f932(x43001)),x43002)),f172(x43001)))
% 197.76/197.83 [4331]E(f326(f326(f110(f939(f938(x43311,x43311),a927)),f306(x43311,f188(f939(f938(x43311,x43311),a927)))),f326(f326(f288(x43311,x43311,x43311),f306(x43311,x43312)),x43312)),f306(x43311,x43312))
% 197.76/197.83 [4367]E(f326(f326(f181(x43671,x43671),x43672),x43672),f326(f326(f154(x43671,f938(x43671,x43671)),f326(f326(f20(x43671,x43671,f938(x43671,x43671)),f251(x43671,x43671)),f7(x43671))),x43672))
% 197.76/197.83 [4478]E(f326(f142(a931,f932(x44781),f326(f9(f932(x44781),a931,a931),f326(f326(f10(a931,f939(a931,a931),f932(x44781)),f233(a931)),f189(f932(x44781)))),f2(a931)),f326(f168(f932(x44781)),x44782)),f326(f189(f932(f932(x44781))),f179(x44781,x44782)))
% 197.76/197.83 [4550]E(f326(f326(f287(f938(a931,f932(x45501)),f932(x45501)),f319(a931,f932(x45501),a239,f145(x45501,x45502))),f326(f326(f20(f932(x45501),f932(x45501),f938(a931,f932(x45501))),f326(f326(f10(a931,f939(f932(x45501),f938(a931,f932(x45501))),f932(x45501)),f251(a931,f932(x45501))),f189(f932(x45501)))),f7(f932(x45501)))),f146(x45501,x45502))
% 197.76/197.83 [4677]E(f326(f261(x46771),f326(f326(f10(f939(f939(x46771,a927),a927),a927,x46771),f86(f939(x46771,a927))),f326(f326(f10(f939(f939(x46771,a927),a927),f939(f939(x46771,a927),a927),x46771),f326(f20(f939(x46771,a927),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x46771,a927)),a324),f326(f326(f9(f939(x46771,a927),f939(f939(x46771,a927),a927),a927),f328(f939(x46771,a927))),x46772)))),f328(x46771)))),f37(f939(x46771,a927),x46772))
% 197.76/197.83 [4678]E(f326(f261(x46781),f326(f326(f10(f939(f939(x46781,a927),a927),a927,x46781),f87(f939(x46781,a927))),f326(f326(f10(f939(f939(x46781,a927),a927),f939(f939(x46781,a927),a927),x46781),f326(f20(f939(x46781,a927),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x46781,a927)),a329),f326(f326(f9(f939(x46781,a927),f939(f939(x46781,a927),a927),a927),f328(f939(x46781,a927))),x46782)))),f328(x46781)))),f38(f939(x46781,a927),x46782))
% 197.76/197.83 [4808]~P1(f326(f326(f235(a1),f326(f100(a1),x48081)),f326(f78(a1),f326(f100(a1),x48082))))
% 197.76/197.83 [3766]E(f326(f326(f3(a931),f326(f326(f79(a931),x37661),x37662)),x37662),x37661)
% 197.76/197.83 [3767]E(f326(f326(f3(a931),f326(f326(f79(a931),x37671),x37672)),x37671),x37672)
% 197.76/197.83 [3835]E(f326(f326(f79(a931),f326(f326(f3(a931),x38351),x38352)),x38352),f326(f326(f233(a931),x38351),x38352))
% 197.76/197.83 [3948]E(f326(f326(f80(a931),f326(f326(f36(a931),x39481),x39482)),x39482),f326(f326(f3(a931),x39481),f45(a931,x39481,x39482)))
% 197.76/197.83 [3975]E(f326(f172(a931),f139(a931,f326(f301(a931,f326(a112,x39751)),x39752))),f305(a931,x39751,x39752))
% 197.76/197.83 [3983]E(f326(f100(a1),f216(f326(a104,f326(f75(a1),x39831)),f326(a104,f326(f75(a1),x39832)))),f326(f326(a217,x39831),x39832))
% 197.76/197.83 [3985]E(f326(f326(f110(f939(x39851,a927)),f326(f78(f939(x39851,a927)),x39852)),x39852),f241(f939(x39851,a927)))
% 197.76/197.83 [3986]E(f326(f326(f101(f939(x39861,a927)),f326(f78(f939(x39861,a927)),x39862)),x39862),f188(f939(x39861,a927)))
% 197.76/197.83 [4003]P1(f326(f326(f234(a931),f326(f326(f3(a931),x40031),x40032)),x40031))
% 197.76/197.83 [4004]P1(f326(f326(f234(a931),f326(f326(f36(a931),x40041),x40042)),x40041))
% 197.76/197.83 [4028]P1(f326(f326(f235(a931),x40281),f326(a112,f326(f326(f79(a931),x40282),x40281))))
% 197.76/197.83 [4029]P1(f326(f326(f235(a931),x40291),f326(a112,f326(f326(f79(a931),x40291),x40292))))
% 197.76/197.83 [4046]E(f326(f326(f80(a931),f326(a104,f326(f75(a1),x40461))),f326(a104,f326(f75(a1),x40462))),f326(a104,f326(f75(a1),f326(f326(f80(a1),x40461),x40462))))
% 197.76/197.83 [4058]P1(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x40581)),x40582)))
% 197.76/197.83 [4129]E(f326(f284(f932(x41291),f932(x41291),f158(x41291,x41292)),f326(f326(f308(f932(x41291)),f113(x41291)),f188(f939(f932(x41291),a927)))),f326(f326(f308(f932(x41291)),f113(x41291)),f188(f939(f932(x41291),a927))))
% 197.76/197.83 [4148]E(f326(f326(f110(f939(f938(x41481,x41481),a927)),f306(x41481,x41482)),f306(x41481,f188(f939(f938(x41481,x41481),a927)))),f306(x41481,x41482))
% 197.76/197.83 [4161]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f79(a1),x41611),x41611))),f326(f103(a1),f326(f326(f79(a1),x41612),x41612))),f326(f326(f36(a1),f326(f103(a1),x41611)),f326(f103(a1),x41612)))
% 197.76/197.83 [4224]E(f326(f326(f243(a1),x42241),f326(f103(a931),f326(f326(f79(a1),x42242),x42242))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x42241),f326(f103(a931),x42242))),f326(f326(f20(a1,a1,a1),f80(a1)),f7(a1))))
% 197.76/197.83 [4230]E(f326(f261(f939(x42301,a927)),f326(f326(f9(f939(x42301,a927),f939(x42301,a927),a927),f234(f939(x42301,a927))),x42302)),f326(f307(x42301),x42302))
% 197.76/197.83 [4246]E(f326(f326(f154(a1,a931),a104),f326(f326(f134(a1),f326(f326(f154(a931,a1),f100(a1)),x42461)),f326(f326(f154(a931,a1),f100(a1)),x42462))),f326(f326(f134(a931),x42461),x42462))
% 197.76/197.83 [4278]E(f326(f309(a1,a1,f326(f326(f9(a1,a1,a1),f79(a1)),x42781)),f326(f301(a1,f2(a1)),f326(f326(f3(a1),x42782),x42781))),f326(f301(a1,x42781),x42782))
% 197.76/197.83 [4280]P58(x42801,f326(f326(f3(f939(f938(x42801,x42801),a927)),x42802),f306(x42801,f188(f939(f938(x42801,x42801),a927)))))
% 197.76/197.83 [4298]E(f326(f189(f932(x42981)),f326(f142(f932(x42981),f932(x42981),f134(x42981),f113(x42981)),x42982)),f326(f165(a931),f326(f326(f154(f932(x42981),a931),f189(f932(x42981))),x42982)))
% 197.76/197.83 [4302]P57(x43021,f241(f939(x43021,a927)),f326(f326(f110(f939(f938(x43021,x43021),a927)),x43022),f306(x43021,f188(f939(f938(x43021,x43021),a927)))))
% 197.76/197.83 [4347]E(f185(a931,f2(a931),f326(f326(f10(a931,a931,a931),a112),f326(f326(f9(a931,a931,a931),f232(a931)),x43471)),x43472),f326(f326(f232(a931),x43472),f326(a112,x43471)))
% 197.76/197.83 [4350]E(f185(a931,f326(a112,x43501),f326(f326(f10(a931,a931,a931),a112),f326(f326(f9(a931,a931,a931),f233(a931)),x43501)),x43502),f326(f326(f233(a931),x43502),f326(a112,x43501)))
% 197.76/197.83 [4353]E(f326(f309(x43531,f932(x43531),f326(f326(f9(x43531,f932(x43531),f932(x43531)),f151(x43531)),f113(x43531))),x43532),f174(x43531,x43532,f326(f326(f308(f932(x43531)),f113(x43531)),f188(f939(f932(x43531),a927)))))
% 197.76/197.83 [4355]E(f326(f326(f110(f939(f938(x43551,x43551),a927)),f326(f326(f288(x43551,x43551,x43551),x43552),f306(x43551,x43552))),f306(x43551,f188(f939(f938(x43551,x43551),a927)))),f306(x43551,x43552))
% 197.76/197.83 [4362]P1(f326(f326(f234(f939(f938(x43621,x43621),a927)),f262(x43621,x43622)),f326(f326(f253(x43621,x43621),x43622),f326(f18(f939(x43621,a927),x43621),x43622))))
% 197.76/197.83 [4365]E(f326(f309(a1,a931,a104),f326(f326(f110(f939(a1,a927)),f326(f309(a931,a1,f100(a1)),x43651)),f326(f309(a931,a1,f100(a1)),x43652))),f326(f326(f110(f939(a931,a927)),x43651),x43652))
% 197.76/197.83 [4366]E(f326(f309(a1,a931,a104),f326(f326(f101(f939(a1,a927)),f326(f309(a931,a1,f100(a1)),x43661)),f326(f309(a931,a1,f100(a1)),x43662))),f326(f326(f101(f939(a931,a927)),x43661),x43662))
% 197.76/197.83 [4369]E(f326(f261(x43691),f326(f326(f10(a927,a927,x43691),a321),f326(f326(f9(x43691,f939(x43691,a927),a927),f328(x43691)),x43692))),f326(f78(f939(x43691,a927)),x43692))
% 197.76/197.83 [4396]E(f326(f142(f932(x43961),f932(x43961),f134(x43961),f113(x43961)),f326(f326(f154(f932(x43961),f932(x43961)),f168(x43961)),f326(f168(f932(x43961)),x43962))),f326(f168(x43961),f326(f142(f932(x43961),f932(x43961),f134(x43961),f113(x43961)),x43962)))
% 197.76/197.83 [4422]E(f326(f326(f40(a931,f939(f938(x44221,x44221),a927)),f241(f939(a931,a927))),f326(f326(f9(a931,f939(f938(x44221,x44221),a927),f939(f938(x44221,x44221),a927)),f183(f938(x44221,x44221),a927)),x44222)),f306(x44221,x44222))
% 197.76/197.83 [4440]E(f84(x44401,f326(f326(f10(f939(x44401,a927),a927,x44401),f326(a323,x44402)),f326(f326(f9(x44401,f939(x44401,a927),f939(x44401,a927)),f308(x44401)),f188(f939(x44401,a927))))),f311(x44401,x44402))
% 197.76/197.83 [4448]E(f326(f189(f932(x44481)),f152(x44481,f326(f142(f932(x44481),f932(x44481),f134(x44481),f113(x44481)),x44482))),f326(f35(x44481),f326(f326(f40(f932(x44481),f939(x44481,a927)),f326(f172(f932(x44481)),x44482)),f172(x44481))))
% 197.76/197.83 [4462]E(f326(f326(f110(f939(f938(x44621,x44621),a927)),x44622),f326(f326(f288(x44621,x44621,x44621),f326(f326(f288(x44621,x44621,x44621),x44622),f306(x44621,x44622))),x44622)),f326(f326(f288(x44621,x44621,x44621),x44622),f306(x44621,x44622)))
% 197.76/197.83 [4486]P1(f326(f326(f234(f939(f938(x44861,x44861),a927)),f326(f326(f288(x44861,x44861,x44861),x44862),f306(x44861,x44862))),f326(f326(f253(x44861,x44861),f326(f280(x44861),x44862)),f326(f18(f939(x44861,a927),x44861),f326(f280(x44861),x44862)))))
% 197.76/197.83 [4527]E(f326(f261(f932(x45271)),f326(f326(f9(f932(x45271),f939(x45271,a927),a927),f326(f326(f10(f939(x45271,a927),f939(f939(x45271,a927),a927),f932(x45271)),f234(f939(x45271,a927))),f172(x45271))),x45272)),f161(x45271,x45272))
% 197.76/197.83 [4538]E(f326(f156(f932(x45381),x45381,f113(x45381),f326(f326(f10(f932(x45381),f939(f932(x45381),f932(x45381)),x45381),f326(f9(f932(x45381),f932(x45381),f932(x45381)),f134(x45381))),f326(f326(f9(x45381,f932(x45381),f932(x45381)),f151(x45381)),f113(x45381)))),x45382),f326(f167(x45381),x45382))
% 197.76/197.83 [4578]P27(f939(x45781,x45782),f939(f938(x45781,x45782),a927),f326(f326(f10(f939(f938(x45781,x45782),a927),f939(f938(x45781,x45782),a927),f939(x45781,x45782)),f261(f938(x45781,x45782))),f326(f326(f10(f939(x45781,f939(x45782,a927)),f939(f938(x45781,x45782),a927),f939(x45781,x45782)),f256(x45781,x45782,a927)),f326(f10(x45782,f939(x45782,a927),x45781),f326(f9(x45782,x45782,a927),a323)))),f241(f939(f939(x45781,x45782),a927)))
% 197.76/197.83 [4583]E(f45(a1,f326(f103(a1),f326(f326(f79(a1),x45831),x45831)),f326(f103(a1),f326(f326(f79(a1),x45832),x45832))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f103(a1),x45831),f326(f103(a1),x45832))))
% 197.76/197.83 [4627]E(f326(f326(f40(x46271,f939(f938(x46271,x46271),a927)),x46272),f326(f326(f9(x46271,f939(f938(x46271,x46271),a927),f939(f938(x46271,x46271),a927)),f326(f326(f10(f938(x46271,x46271),f939(f939(f938(x46271,x46271),a927),f939(f938(x46271,x46271),a927)),x46271),f308(f938(x46271,x46271))),f326(f326(f20(x46271,x46271,f938(x46271,x46271)),f251(x46271,x46271)),f7(x46271)))),f188(f939(f938(x46271,x46271),a927)))),f262(x46271,x46272))
% 197.76/197.83 [4635]E(f202(x46351,f326(f326(f251(a1,a1),f326(f78(a1),f326(f326(f72(f938(a1,a1),a1,x46351,f250(a1,a1)),f212(x46351)),x46352))),f326(f326(f72(f938(a1,a1),a1,x46351,f255(a1,a1)),f212(x46351)),x46352))),f227(x46351,x46352))
% 197.76/197.83 [4716]E(f326(f261(f939(x47161,a927)),f326(f326(f10(f939(f939(x47161,a927),a927),a927,f939(x47161,a927)),f86(f939(x47161,a927))),f326(f326(f9(f939(x47161,a927),f939(f939(x47161,a927),a927),f939(f939(x47161,a927),a927)),f326(f326(f10(f939(f939(x47161,a927),f939(a927,a927)),f939(f939(f939(x47161,a927),a927),f939(f939(x47161,a927),a927)),f939(x47161,a927)),f20(f939(x47161,a927),a927,a927)),f326(f326(f10(f939(f939(x47161,a927),a927),f939(f939(x47161,a927),f939(a927,a927)),f939(x47161,a927)),f326(f10(a927,f939(a927,a927),f939(x47161,a927)),a324)),f326(f326(f9(f939(x47161,a927),f939(f939(x47161,a927),f939(x47161,a927)),f939(f939(x47161,a927),a927)),f326(f326(f10(f939(f939(x47161,a927),a927),f939(f939(f939(x47161,a927),f939(x47161,a927)),f939(f939(x47161,a927),a927)),f939(x47161,a927)),f10(f939(x47161,a927),a927,f939(x47161,a927))),a323)),f78(f939(x47161,a927)))))),f326(f326(f10(f939(f939(x47161,a927),a927),a927,f939(x47161,a927)),f326(f328(f939(x47161,a927)),x47162)),f307(x47161))))),f326(f307(x47161),f326(f78(f939(x47161,a927)),x47162)))
% 197.76/197.83 [4806]~E(f326(f326(f79(a1),x48061),x48061),f326(f326(f3(a1),f326(f326(f79(a1),x48062),x48062)),a97))
% 197.76/197.83 [4810]~P1(f326(f326(f235(a931),f326(f326(f79(a931),x48101),x48102)),x48102))
% 197.76/197.83 [4811]~P1(f326(f326(f235(a931),f326(f326(f79(a931),x48111),x48112)),x48111))
% 197.76/197.83 [4063]E(f326(f326(f3(a931),x40631),f326(f326(f80(a931),f326(f326(f36(a931),x40631),x40632)),x40632)),f45(a931,x40631,x40632))
% 197.76/197.83 [4064]E(f326(f326(f3(a1),x40641),f326(f326(f80(a1),f326(f326(f36(a1),x40641),x40642)),x40642)),f45(a1,x40641,x40642))
% 197.76/197.83 [4098]E(f326(f326(f154(a931,x40981),f326(f164(x40981),x40982)),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(x40981)),x40982)))),x40982)
% 197.76/197.83 [4157]E(f326(f284(x41571,x41571,f306(x41571,f188(f939(f938(x41571,x41571),a927)))),x41572),x41572)
% 197.76/197.83 [4283]E(f306(x42831,f326(f326(f110(f939(f938(x42831,x42831),a927)),x42832),f306(x42831,f188(f939(f938(x42831,x42831),a927))))),f306(x42831,x42832))
% 197.76/197.83 [4284]E(f306(x42841,f326(f326(f3(f939(f938(x42841,x42841),a927)),x42842),f306(x42841,f188(f939(f938(x42841,x42841),a927))))),f306(x42841,x42842))
% 197.76/197.83 [4334]E(f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43341),x43341)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x43342),x43342)),a97)),f326(f326(f79(a1),f326(f326(f3(a1),x43341),x43342)),f326(f326(f3(a1),x43341),x43342)))
% 197.76/197.83 [4374]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x43741),x43742)),f326(f326(f79(a1),x43741),x43742))),a97),f326(f326(f79(a1),f326(f326(f79(a1),x43741),x43741)),f326(f326(f3(a1),f326(f326(f79(a1),x43742),x43742)),a97)))
% 197.76/197.83 [4399]E(f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x43991),x43991)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x43992),x43992)),a97)),f326(f326(f79(a1),f326(f326(f79(a1),x43991),f326(f326(f3(a1),x43992),a97))),f326(f326(f79(a1),x43991),f326(f326(f3(a1),x43992),a97))))
% 197.76/197.83 [4410]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),x44101),x44102)),f326(f326(f3(a1),x44101),x44102))),a97),f326(f326(f3(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44101),x44101)),a97)),f326(f326(f79(a1),x44102),x44102)))
% 197.76/197.83 [4411]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f79(a1),x44111),x44112)),f326(f326(f79(a1),x44111),x44112))),a97),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44111),x44111)),a97)),f326(f326(f79(a1),x44112),x44112)))
% 197.76/197.83 [4459]E(f326(f100(a1),f326(f326(f36(a931),f326(f326(f80(a931),f326(a104,f326(f75(a1),x44591))),f326(a104,f326(f75(a1),x44592)))),f216(f326(a104,f326(f75(a1),x44591)),f326(a104,f326(f75(a1),x44592))))),f218(x44591,x44592))
% 197.76/197.83 [4504]E(f326(f326(f258(f938(a99,a99),a99,f938(a99,a99),f938(x45041,f938(a99,a99))),f266(f326(a5,f326(f189(f932(x45041)),x45042)))),f326(f326(f10(x45041,f939(f938(a99,a99),f938(x45041,f938(a99,a99))),a99),f251(x45041,f938(a99,a99))),f326(f326(f10(a931,x45041,a99),f326(f164(x45041),x45042)),a22))),f274(x45041,x45042))
% 197.76/197.83 [4584]E(f326(f142(a931,f932(x45841),f326(f9(f932(x45841),a931,a931),f326(f326(f10(a931,f939(a931,a931),f932(x45841)),f233(a931)),f189(f932(x45841)))),f2(a931)),f326(f168(f932(x45841)),f179(x45841,x45842))),f326(f189(f932(f932(x45841))),f326(f136(f932(x45841),f326(f326(f10(a927,a927,f932(x45841)),a321),f326(f326(f9(f932(x45841),f932(x45841),a927),a323),f113(x45841)))),x45842)))
% 197.76/197.83 [4590]E(f326(f326(f40(a931,f939(x45901,a927)),f241(f939(a931,a927))),f326(f326(f9(a931,f939(a931,f939(x45901,a927)),f939(x45901,a927)),f326(f326(f10(f939(a931,a927),f939(f939(a931,f939(x45901,a927)),f939(x45901,a927)),a931),f40(a931,f939(x45901,a927))),f301(a931,f2(a931)))),x45902)),f326(f326(f40(a931,f939(x45901,a927)),f241(f939(a931,a927))),x45902))
% 197.76/197.83 [4612]P1(f326(f61(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),x46121)),f326(f326(f9(a931,a931,a927),f235(a931)),x46122)))))
% 197.76/197.83 [4725]E(f326(f261(f938(f932(x47251),f932(x47251))),f326(f256(f932(x47251),f932(x47251),a927),f326(f326(f20(f932(x47251),f939(f932(x47251),a927),f939(f932(x47251),a927)),f326(f326(f10(f939(f932(x47251),f939(a927,a927)),f939(f939(f932(x47251),a927),f939(f932(x47251),a927)),f932(x47251)),f20(f932(x47251),a927,a927)),f326(f326(f10(f939(f932(x47251),a927),f939(f932(x47251),f939(a927,a927)),f932(x47251)),f326(f10(a927,f939(a927,a927),f932(x47251)),a325)),f326(f326(f9(f932(x47251),f939(f932(x47251),a931),f939(f932(x47251),a927)),f326(f326(f10(f939(a931,a927),f939(f939(f932(x47251),a931),f939(f932(x47251),a927)),f932(x47251)),f10(a931,a927,f932(x47251))),f326(f326(f10(a931,f939(a931,a927),f932(x47251)),f235(a931)),f189(f932(x47251))))),f189(f932(x47251)))))),f326(f326(f20(f932(x47251),f939(f932(x47251),a927),f939(f932(x47251),a927)),f326(f326(f10(f939(f932(x47251),f939(a927,a927)),f939(f939(f932(x47251),a927),f939(f932(x47251),a927)),f932(x47251)),f20(f932(x47251),a927,a927)),f326(f326(f10(f939(f932(x47251),a927),f939(f932(x47251),f939(a927,a927)),f932(x47251)),f326(f10(a927,f939(a927,a927),f932(x47251)),a324)),f326(f326(f9(f932(x47251),f939(f932(x47251),a931),f939(f932(x47251),a927)),f326(f326(f10(f939(a931,a927),f939(f939(f932(x47251),a931),f939(f932(x47251),a927)),f932(x47251)),f10(a931,a927,f932(x47251))),f326(f326(f10(a931,f939(a931,a927),f932(x47251)),a323),f189(f932(x47251))))),f189(f932(x47251)))))),f326(f326(f9(f932(x47251),f939(f938(f932(x47251),f932(x47251)),a927),f939(f932(x47251),a927)),f326(f326(f10(f939(f932(x47251),f939(f939(f938(f932(x47251),f932(x47251)),a927),a927)),f939(f939(f938(f932(x47251),f932(x47251)),a927),f939(f932(x47251),a927)),f932(x47251)),f9(f932(x47251),f939(f938(f932(x47251),f932(x47251)),a927),a927)),f326(f326(f10(f939(f932(x47251),f938(f932(x47251),f932(x47251))),f939(f932(x47251),f939(f939(f938(f932(x47251),f932(x47251)),a927),a927)),f932(x47251)),f326(f10(f938(f932(x47251),f932(x47251)),f939(f939(f938(f932(x47251),f932(x47251)),a927),a927),f932(x47251)),f328(f938(f932(x47251),f932(x47251))))),f251(f932(x47251),f932(x47251))))),f145(x47251,x47252)))))),f146(x47251,x47252))
% 197.76/197.83 [4402]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x44021),x44022)),f326(f326(f80(a1),x44021),x44022))),x44022),f326(f326(f80(a1),f326(f326(f3(a1),f326(f326(f79(a1),x44021),x44021)),a97)),x44022))
% 197.76/197.83 [4503]E(f326(a104,f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x45031),x45032)),f188(f939(f938(a931,a931),a927)))))),f326(f326(f3(a931),x45031),x45032))
% 197.76/197.83 [4507]E(f326(f326(f288(x45071,x45071,x45071),f326(f326(f110(f939(f938(x45071,x45071),a927)),x45072),f306(x45071,f188(f939(f938(x45071,x45071),a927))))),f306(x45071,f326(f326(f110(f939(f938(x45071,x45071),a927)),x45072),f306(x45071,f188(f939(f938(x45071,x45071),a927)))))),f306(x45071,x45072))
% 197.76/197.83 [4544]E(f267(x45441,f326(f136(f938(a99,x45441),f326(f256(a99,x45441,a927),f326(f326(f10(a927,f939(x45441,a927),a99),f18(a927,x45441)),f326(f235(a99),f2(a99))))),x45442)),f267(x45441,x45442))
% 197.76/197.83 [4545]E(f265(x45451,f326(f136(f938(a99,x45451),f326(f256(a99,x45451,a927),f326(f326(f10(a927,f939(x45451,a927),a99),f18(a927,x45451)),f326(f235(a99),f2(a99))))),x45452)),f265(x45451,x45452))
% 197.76/197.83 [4547]E(f326(f78(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x45471),x45472)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x45472),x45471)),f188(f939(f938(a931,a931),a927))))))
% 197.76/197.83 [4603]E(f326(f326(f287(f932(a931),x46031),f145(a931,a239)),f326(f326(f9(x46031,f932(f939(x46031,a931)),f932(a931)),f326(f326(f10(f939(f939(x46031,a931),a931),f939(f932(f939(x46031,a931)),f932(a931)),x46031),f154(f939(x46031,a931),a931)),f326(f9(f939(x46031,a931),x46031,a931),f7(f939(x46031,a931))))),x46032)),f153(x46031,x46032))
% 197.76/197.83 [4624]E(f326(f326(f85(a1,a931),f326(f103(a1),f326(f326(f79(a1),x46241),a97))),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f2(a931))),f326(f326(f10(a931,a931,a1),a112),f326(f326(f10(a931,a931,a1),f326(f232(a931),x46242)),a104)))),f326(f326(f232(a931),f326(a112,x46242)),f326(f103(a931),x46241)))
% 197.76/197.83 [4625]E(f326(f326(f85(a1,a931),f326(f103(a1),f326(f326(f79(a1),x46251),a97))),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f326(a112,x46252))),f326(f326(f10(a931,a931,a1),a112),f326(f326(f10(a931,a931,a1),f326(f233(a931),x46252)),a104)))),f326(f326(f233(a931),f326(a112,x46252)),f326(f103(a931),x46251)))
% 197.76/197.83 [4645]E(f326(f142(f932(x46451),f932(x46451),f134(x46451),f113(x46451)),f326(f326(f154(f932(x46451),f932(x46451)),f156(f932(x46451),x46451,f113(x46451),f326(f326(f10(f932(x46451),f939(f932(x46451),f932(x46451)),x46451),f18(f932(x46451),f932(x46451))),f326(f326(f9(x46451,f932(x46451),f932(x46451)),f151(x46451)),f113(x46451))))),x46452)),f326(f326(f154(f932(x46451),x46451),f141(x46451)),f326(f136(f932(x46451),f326(f326(f10(a927,a927,f932(x46451)),a321),f326(f326(f9(f932(x46451),f932(x46451),a927),a323),f113(x46451)))),x46452)))
% 197.76/197.83 [4707]E(f326(f256(a1,a1,a927),f326(f326(f9(a1,f939(a1,a927),f939(a1,a927)),f326(f326(f10(f939(a1,f939(a927,a927)),f939(f939(a1,a927),f939(a1,a927)),a1),f20(a1,a927,a927)),f326(f326(f10(f939(a1,a927),f939(a1,f939(a927,a927)),a1),f326(f10(a927,f939(a927,a927),a1),a324)),f326(f326(f10(f939(a1,a1),f939(a1,a927),a1),f326(f10(a1,a927,a1),f326(a323,x47071))),f326(f326(f10(a1,f939(a1,a1),a1),f79(a1)),f326(f80(a1),x47072)))))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),f326(a329,f326(f326(f235(a1),f2(a1)),x47072))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),f326(f326(f9(a1,a1,a927),f235(a1)),x47072))))),f326(f326(f10(a927,a927,a1),f326(a329,f326(a321,f326(f326(f235(a1),f2(a1)),x47072)))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f235(a1),x47072))),f326(f326(f9(a1,a1,a927),f234(a1)),f2(a1))))))),f49(x47071,x47072))
% 197.76/197.83 [4710]E(f326(f261(x47101),f326(f326(f10(f939(a931,a927),a927,x47101),f86(a931)),f326(f326(f9(x47101,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),x47101),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),x47101),f326(f10(a927,f939(a927,a927),a931),a324)),f326(f326(f9(x47101,f939(a931,x47101),f939(a931,a927)),f326(f326(f10(f939(x47101,a927),f939(f939(a931,x47101),f939(a931,a927)),x47101),f10(x47101,a927,a931)),a323)),f326(f164(x47101),x47102))))),f326(f326(f9(a931,a931,a927),f235(a931)),f326(f189(f932(x47101)),x47102))))),f326(f172(x47101),x47102))
% 197.76/197.83 [4517]E(f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),x45171),a97)),x45172)),f326(f326(f3(a1),f326(f326(f79(a1),x45171),a97)),x45172))),a97),f326(f326(f3(a1),f326(f326(f79(a1),x45171),x45171)),f326(f326(f3(a1),f326(f326(f79(a1),x45172),x45172)),a97)))
% 197.76/197.83 [4640]E(f326(f142(f932(f932(x46401)),f932(f932(x46401)),f134(f932(x46401)),f113(f932(x46401))),f326(f326(f154(f932(x46401),f932(f932(x46401))),f156(f932(f932(x46401)),x46401,f113(f932(x46401)),f326(f18(f939(f932(x46401),f932(f932(x46401))),x46401),f326(f326(f9(f932(x46401),f932(f932(x46401)),f932(f932(x46401))),f151(f932(x46401))),f113(f932(x46401)))))),x46402)),f326(f326(f154(f932(x46401),f932(x46401)),f171(x46401)),f326(f136(f932(x46401),f326(f326(f10(a927,a927,f932(x46401)),a321),f326(f326(f9(f932(x46401),f932(x46401),a927),a323),f113(x46401)))),x46402)))
% 197.76/197.83 [4650]E(f326(f326(f85(a1,a931),f326(f103(a1),f326(f326(f79(a1),x46501),a97))),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f2(a931))),f326(f326(f10(a931,a931,a1),a112),f326(f326(f9(a1,a931,a931),f326(f326(f10(a931,f939(a931,a931),a1),f232(a931)),a104)),x46502)))),f326(f326(f232(a931),f326(f103(a931),x46501)),f326(a112,x46502)))
% 197.76/197.83 [4651]E(f326(f326(f85(a1,a931),f326(f103(a1),f326(f326(f79(a1),x46511),a97))),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f326(a112,x46512))),f326(f326(f10(a931,a931,a1),a112),f326(f326(f9(a1,a931,a931),f326(f326(f10(a931,f939(a931,a931),a1),f233(a931)),a104)),x46512)))),f326(f326(f233(a931),f326(f103(a931),x46511)),f326(a112,x46512)))
% 197.76/197.83 [4639]E(f326(f256(x46391,x46391,a927),f326(f326(f20(x46391,a927,f939(x46391,a927)),f326(f326(f10(f939(x46391,f939(a927,a927)),f939(a927,f939(x46391,a927)),x46391),f9(x46391,a927,a927)),f326(f326(f10(f939(x46391,a927),f939(x46391,f939(a927,a927)),x46391),f326(f10(a927,f939(a927,a927),x46391),a324)),a323))),x46392)),f262(x46391,x46392))
% 197.76/197.83 [4684]E(f326(f326(f36(a931),x46841),f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46842)),f326(f326(f36(a931),x46841),f326(a112,f326(a112,f326(a112,x46842)))))
% 197.76/197.83 [4685]E(f45(a931,x46851,f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46852)),f45(a931,x46851,f326(a112,f326(a112,f326(a112,x46852)))))
% 197.76/197.83 [4686]E(f45(a931,f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46861),x46862),f45(a931,f326(a112,f326(a112,f326(a112,x46861))),x46862))
% 197.76/197.83 [4698]E(f123(f326(x46981,f326(f326(f80(a99),f326(f103(a99),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46982))),f326(f200(x46981),x46982))
% 197.76/197.83 [4699]E(f326(f326(f36(a931),f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),x46991)),x46992),f326(f326(f36(a931),f326(a112,f326(a112,f326(a112,x46991)))),x46992))
% 197.76/197.83 [4757]~E(f27(x47571,x47572,x47573),a25)
% 197.76/197.83 [4758]~E(f26(x47581,x47582,x47583),a25)
% 197.76/197.83 [4762]~E(f126(x47621,x47622,x47623),f119(x47621))
% 197.76/197.83 [3491]E(f326(f192(x34911,x34912),x34913),f121(x34911,x34912))
% 197.76/197.83 [3510]E(f326(f199(x35101,x35102),x35103),f326(f129(x35101),x35102))
% 197.76/197.83 [3586]E(f326(f326(f154(x35861,x35862),x35863),f113(x35861)),f113(x35862))
% 197.76/197.83 [3626]E(f326(f184(x36261,x36262,x36263),f2(a931)),x36262)
% 197.76/197.83 [3628]E(f326(f326(f181(x36281,x36282),x36283),f113(x36282)),f113(f938(x36281,x36282)))
% 197.76/197.83 [3643]E(f326(f189(f932(x36431)),f169(x36431,x36432,x36433)),x36432)
% 197.76/197.83 [3662]E(f84(x36621,f62(x36621,x36622,x36623)),f326(f63(x36621,x36622),x36623))
% 197.76/197.83 [3666]E(f242(x36661,x36662,f242(x36662,x36661,x36663)),x36663)
% 197.76/197.83 [3686]E(f326(f168(x36861),f169(x36861,x36862,x36863)),f169(x36861,x36862,x36863))
% 197.76/197.83 [3713]E(f140(x37131,x37132,f152(x37131,x37133)),f152(x37131,f140(x37131,x37132,x37133)))
% 197.76/197.83 [3732]E(f326(f250(f932(x37321),f932(x37321)),f166(x37321,x37322,x37323)),f326(f136(x37321,x37322),x37323))
% 197.76/197.83 [3775]E(f326(f326(f151(x37751),x37752),f169(x37751,x37753,x37752)),f169(x37751,f326(a112,x37753),x37752))
% 197.76/197.83 [3809]E(f19(x38091,x38092,x38093,f2(a99)),x38092)
% 197.76/197.83 [3810]E(f185(x38101,x38102,x38103,f2(a931)),x38102)
% 197.76/197.83 [3811]E(f21(x38111,x38112,x38113,f2(a99)),x38112)
% 197.76/197.83 [3818]E(f163(x38181,x38182,x38183,f113(x38181)),f113(x38182))
% 197.76/197.83 [3819]E(f130(x38191,x38192,x38193,f119(x38191)),f119(x38192))
% 197.76/197.83 [3825]E(f326(f326(f164(x38251),f326(f326(f151(x38251),x38252),x38253)),f2(a931)),x38252)
% 197.76/197.83 [3855]E(f59(x38551,x38552,f113(x38551),x38553),f113(f938(x38551,x38552)))
% 197.76/197.83 [3876]P27(x38761,x38762,x38763,f188(f939(x38761,a927)))
% 197.76/197.83 [3979]E(f264(x39791,x39792,x39793),f326(f251(f939(a99,f939(a927,f935(f933(x39791)))),f938(a99,a99)),f41(x39791)))
% 197.76/197.83 [4037]E(f326(f72(x40371,x40372,x40371,x40373),f31(x40371)),x40373)
% 197.76/197.83 [4216]P1(f326(f326(f328(f938(x42161,x42161)),f326(f326(f251(x42161,x42161),x42162),x42162)),f306(x42161,x42163)))
% 197.76/197.83 [4815]~P1(f326(f326(f328(f938(f932(x48151),f932(x48151))),f326(f326(f251(f932(x48151),f932(x48151)),x48152),f113(x48151))),f145(x48151,x48153)))
% 197.76/197.83 [4816]~P1(f326(f326(f328(f938(f932(x48161),f932(x48161))),f326(f326(f251(f932(x48161),f932(x48161)),x48162),f113(x48161))),f147(x48161,x48163)))
% 197.76/197.83 [4817]~P1(f326(f326(f328(f938(f932(x48171),f932(x48171))),f326(f326(f251(f932(x48171),f932(x48171)),x48172),f113(x48171))),f157(x48171,x48173)))
% 197.76/197.83 [4818]~P1(f326(f326(f328(f938(f932(x48181),f932(x48181))),f326(f326(f251(f932(x48181),f932(x48181)),f113(x48181)),x48182)),f145(x48181,x48183)))
% 197.76/197.83 [4819]~P1(f326(f326(f328(f938(f932(x48191),f932(x48191))),f326(f326(f251(f932(x48191),f932(x48191)),f113(x48191)),x48192)),f157(x48191,x48193)))
% 197.76/197.83 [3561]E(f326(f326(f201(x35611),x35612),x35613),f202(x35611,f215(x35612,x35613)))
% 197.76/197.83 [3615]E(f326(f285(x36151,x36152),f326(f285(x36152,x36151),x36153)),x36153)
% 197.76/197.83 [3638]E(f326(f326(f181(x36381,x36382),f113(x36381)),x36383),f113(f938(x36381,x36382)))
% 197.76/197.83 [3641]E(f176(x36411,x36412,f326(f281(a931),x36413)),f326(f326(f175(x36411),x36413),x36412))
% 197.76/197.83 [3659]E(f152(x36591,f326(f136(x36591,x36592),x36593)),f326(f136(x36591,x36592),f152(x36591,x36593)))
% 197.76/197.83 [3660]E(f326(f283(x36601,x36602),f326(f285(x36602,x36601),x36603)),f326(f263(x36602,x36601),x36603))
% 197.76/197.83 [3661]E(f326(f263(x36611,x36612),f326(f285(x36612,x36611),x36613)),f326(f283(x36612,x36611),x36613))
% 197.76/197.83 [3679]E(f326(f136(x36791,x36792),f326(f168(x36791),x36793)),f326(f168(x36791),f326(f136(x36791,x36792),x36793)))
% 197.76/197.83 [3692]E(f326(f326(f138(x36921),x36922),f326(f171(x36921),x36923)),f326(f326(f138(x36921),f326(a112,x36922)),x36923))
% 197.76/197.83 [3708]E(f28(f26(x37081,x37082,x37083)),f326(f326(f79(a931),f28(x37083)),f326(a112,f2(a931))))
% 197.76/197.83 [3709]E(f326(f309(x37091,x37092,x37093),f188(f939(x37091,a927))),f188(f939(x37092,a927)))
% 197.76/197.83 [3710]E(f326(f284(x37101,x37102,x37103),f188(f939(x37101,a927))),f188(f939(x37102,a927)))
% 197.76/197.83 [3711]E(f326(f310(x37111,x37112,x37113),f188(f939(x37112,a927))),f188(f939(x37111,a927)))
% 197.76/197.83 [3712]E(f326(f310(x37121,x37122,x37123),f241(f939(x37122,a927))),f241(f939(x37121,a927)))
% 197.76/197.83 [3738]E(f120(x37381,f126(f933(x37381),x37382,x37383)),f116(x37381,x37382,f120(x37381,x37383)))
% 197.76/197.83 [3740]E(f326(f326(f308(x37401),x37402),f326(f172(x37401),x37403)),f326(f172(x37401),f140(x37401,x37402,x37403)))
% 197.76/197.83 [3829]E(f326(f189(a928),f26(x38291,x38292,x38293)),f326(f326(f79(a931),f326(f189(a928),x38293)),f326(a112,f2(a931))))
% 197.76/197.83 [3830]E(f326(f309(f938(x38301,x38302),x38302,f255(x38301,x38302)),x38303),f326(f283(x38301,x38302),x38303))
% 197.76/197.83 [3831]E(f326(f309(f938(x38311,x38312),x38311,f250(x38311,x38312)),x38313),f326(f263(x38311,x38312),x38313))
% 197.76/197.83 [3847]E(f326(f172(x38471),f169(x38471,f326(a112,x38472),x38473)),f326(f326(f308(x38471),x38473),f188(f939(x38471,a927))))
% 197.76/197.83 [3905]E(f326(f326(f251(x39051,x39052),f326(f250(x39051,x39052),x39053)),f326(f255(x39051,x39052),x39053)),x39053)
% 197.76/197.83 [3912]E(f326(f189(f933(x39121)),f126(x39121,x39122,x39123)),f326(f326(f79(a931),f326(f189(f933(x39121)),x39123)),f326(a112,f2(a931))))
% 197.76/197.83 [3914]E(f326(f326(f256(x39141,x39142,x39141),f18(x39141,x39142)),x39143),f326(f250(x39141,x39142),x39143))
% 197.76/197.83 [3992]E(f28(f27(x39921,x39922,x39923)),f326(f326(f79(a931),f326(f326(f79(a931),f28(x39922)),f28(x39923))),f326(a112,f2(a931))))
% 197.76/197.83 [4042]E(f326(f72(x40421,x40421,x40422,f31(x40421)),x40423),x40423)
% 197.76/197.83 [4049]E(f326(f326(f134(x40491),f169(x40491,x40492,x40493)),f326(f326(f151(x40491),x40493),f113(x40491))),f326(f326(f151(x40491),x40493),f169(x40491,x40492,x40493)))
% 197.76/197.83 [4151]E(f326(f189(a928),f27(x41511,x41512,x41513)),f326(f326(f79(a931),f326(f326(f79(a931),f326(f189(a928),x41512)),f326(f189(a928),x41513))),f326(a112,f2(a931))))
% 197.76/197.83 [4225]P1(f326(f326(f234(f939(x42251,a927)),f326(f172(x42251),f326(f136(x42251,x42252),x42253))),f326(f172(x42251),x42253)))
% 197.76/197.83 [4269]P1(f326(f326(f234(f939(x42691,a927)),f326(f172(x42691),f326(f326(f175(x42691),x42692),x42693))),f326(f172(x42691),x42693)))
% 197.76/197.83 [4270]P1(f326(f326(f234(f939(x42701,a927)),f326(f172(x42701),f326(f326(f138(x42701),x42702),x42703))),f326(f172(x42701),x42703)))
% 197.76/197.83 [4274]P1(f326(f326(f234(f939(x42741,a927)),f326(f172(x42741),f176(x42741,x42742,x42743))),f326(f172(x42741),x42742)))
% 197.76/197.83 [4275]P1(f326(f326(f234(f939(x42751,a927)),f326(f172(x42751),f170(x42751,x42752,x42753))),f326(f172(x42751),x42753)))
% 197.76/197.83 [4296]P27(f938(x42961,x42962),f938(x42962,x42961),f326(f256(x42961,x42962,f938(x42962,x42961)),f326(f9(x42962,x42961,f938(x42962,x42961)),f251(x42962,x42961))),x42963)
% 197.76/197.83 [4307]E(f326(f326(f326(f183(f932(x43071),f932(x43071)),f45(a931,x43072,f326(f189(f932(x43071)),x43073))),f167(x43071)),x43073),f326(f326(f326(f183(f932(x43071),f932(x43071)),x43072),f167(x43071)),x43073))
% 197.76/197.83 [4351]P1(f326(f326(f328(f938(f932(x43511),f932(x43511))),f326(f326(f251(f932(x43511),f932(x43511)),x43512),x43512)),f158(x43511,f306(x43511,x43513))))
% 197.76/197.83 [4490]E(f84(f938(x44901,x44902),f326(f326(f20(f938(x44901,x44902),x44902,a927),f326(f326(f10(x44901,f939(x44902,a927),f938(x44901,x44902)),x44903),f250(x44901,x44902))),f255(x44901,x44902))),f84(f938(x44901,x44902),f326(f256(x44901,x44902,a927),x44903)))
% 197.76/197.83 [4491]E(f89(f938(x44911,x44912),f326(f326(f20(f938(x44911,x44912),x44912,a927),f326(f326(f10(x44911,f939(x44912,a927),f938(x44911,x44912)),x44913),f250(x44911,x44912))),f255(x44911,x44912))),f89(f938(x44911,x44912),f326(f256(x44911,x44912,a927),x44913)))
% 197.76/197.83 [4524]E(f326(f326(f287(f938(a931,x45241),x45241),f319(a931,x45241,a239,x45242)),f326(f326(f20(x45241,x45241,f938(a931,x45241)),f326(f326(f10(a931,f939(x45241,f938(a931,x45241)),x45241),f251(a931,x45241)),x45243)),f7(x45241))),f320(x45241,x45243,x45242))
% 197.76/197.83 [4586]E(f326(f257(x45861,x45861,x45862,x45862,f7(x45861),f7(x45862)),x45863),x45863)
% 197.76/197.83 [4659]E(f326(f142(f932(f932(x46591)),f932(f932(x46591)),f134(f932(x46591)),f113(f932(x46591))),f326(f326(f154(f932(x46591),f932(f932(x46591))),f326(f326(f9(f932(x46591),f932(x46591),f932(f932(x46591))),f326(f326(f10(f939(x46591,f932(x46591)),f939(f932(x46591),f932(f932(x46591))),f932(x46591)),f154(x46591,f932(x46591))),f326(f9(x46591,f932(x46591),f932(x46591)),f151(x46591)))),x46592)),f55(x46591,x46593,x46592))),f55(x46591,f326(a112,x46593),x46592))
% 197.76/197.83 [4715]E(f223(a931,f938(x47151,f933(x47151)),f2(a931),f326(f256(x47151,f933(x47151),a931),f326(f326(f9(x47151,a931,f939(f933(x47151),a931)),f326(f326(f10(f939(f933(x47151),f939(a931,a931)),f939(a931,f939(f933(x47151),a931)),x47151),f9(f933(x47151),a931,a931)),f326(f326(f10(f939(f933(x47151),a931),f939(f933(x47151),f939(a931,a931)),x47151),f326(f10(a931,f939(a931,a931),f933(x47151)),f79(a931))),f326(f326(f9(x47151,f939(f933(x47151),a931),f939(f933(x47151),a931)),f326(f326(f10(f939(a931,a931),f939(f939(f933(x47151),a931),f939(f933(x47151),a931)),x47151),f10(a931,a931,f933(x47151))),f326(f326(f10(a931,f939(a931,a931),x47151),f79(a931)),x47152))),f125(x47151,x47152))))),f77(a931))),f326(f135(x47151),x47153)),f326(f125(x47151,x47152),x47153))
% 197.76/197.83 [4724]E(f326(f326(f85(a1,x47241),f218(f326(f326(f72(f938(a1,a1),a1,x47241,f255(a1,a1)),f212(x47241)),x47242),f326(f326(f72(f938(a1,a1),a1,x47241,f255(a1,a1)),f212(x47241)),x47243))),f326(f326(f20(a1,a1,x47241),f326(f326(f10(a1,f939(a1,x47241),a1),f201(x47241)),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f939(a1,a1),a1),f79(a1)),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f938(a1,a1),a1,x47241,f250(a1,a1)),f212(x47241)),x47242))),f326(f326(f9(a1,a1,a1),f36(a1)),f326(f326(f72(f938(a1,a1),a1,x47241,f255(a1,a1)),f212(x47241)),x47242))))),f326(f326(f10(a1,a1,a1),f326(f80(a1),f326(f326(f72(f938(a1,a1),a1,x47241,f250(a1,a1)),f212(x47241)),x47243))),f326(f326(f9(a1,a1,a1),f36(a1)),f326(f326(f72(f938(a1,a1),a1,x47241,f255(a1,a1)),f212(x47241)),x47243)))))),f7(a1))),f230(x47241,x47242,x47243))
% 197.76/197.83 [4753]~E(f326(f326(f151(x47531),x47532),x47533),x47533)
% 197.76/197.83 [4760]~E(f326(f326(f151(x47601),x47602),x47603),f113(x47601))
% 197.76/197.83 [4774]~E(f326(f326(f308(x47741),x47742),x47743),f188(f939(x47741,a927)))
% 197.76/197.83 [4796]~E(f326(f309(x47961,f939(x47961,a927),x47962),x47963),f326(f307(x47961),x47963))
% 197.76/197.83 [3620]E(f326(f326(f159(x36201,f113(x36201)),x36202),x36203),f113(x36201))
% 197.76/197.83 [3621]E(f326(f141(x36211),f326(f326(f151(x36211),x36212),x36213)),x36212)
% 197.76/197.83 [3622]E(f326(f171(x36221),f326(f326(f151(x36221),x36222),x36223)),x36223)
% 197.76/197.83 [3665]E(f326(f326(f138(x36651),f77(a931)),f326(f326(f151(x36651),x36652),x36653)),x36653)
% 197.76/197.83 [3699]E(f114(x36991,f326(f326(f138(x36991),x36992),x36993)),f326(f326(f138(x36991),x36992),f114(x36991,x36993)))
% 197.76/197.83 [3701]E(f326(f326(f159(x37011,x37012),x37013),f326(f326(f164(x37011),x37012),x37013)),x37012)
% 197.76/197.83 [3722]E(f326(f326(f308(x37221),x37222),f326(f326(f308(x37221),x37222),x37223)),f326(f326(f308(x37221),x37222),x37223))
% 197.76/197.83 [3735]E(f326(f326(f308(x37351),x37352),f326(f172(x37351),x37353)),f326(f172(x37351),f326(f326(f151(x37351),x37352),x37353)))
% 197.76/197.83 [3737]E(f326(f326(f138(x37371),x37372),f326(f171(x37371),x37373)),f326(f171(x37371),f326(f326(f138(x37371),x37372),x37373)))
% 197.76/197.83 [3749]E(f326(f326(f175(x37491),f77(a931)),f326(f326(f151(x37491),x37492),x37493)),f326(f326(f151(x37491),x37492),f113(x37491)))
% 197.76/197.83 [3794]E(f326(f63(x37941,x37942),f326(f326(f308(x37941),x37943),f188(f939(x37941,a927)))),x37943)
% 197.76/197.83 [3837]E(f326(f326(f79(a931),x38371),f326(f326(f79(a931),x38372),x38373)),f326(f326(f79(a931),x38372),f326(f326(f79(a931),x38371),x38373)))
% 197.76/197.83 [3838]E(f326(f326(f79(a1),x38381),f326(f326(f79(a1),x38382),x38383)),f326(f326(f79(a1),x38382),f326(f326(f79(a1),x38381),x38383)))
% 197.76/197.83 [3843]E(f326(f326(f253(x38431,x38432),f188(f939(x38431,a927))),x38433),f188(f939(f938(x38431,x38432),a927)))
% 197.76/197.83 [3868]E(f326(f326(f110(f939(x38681,a927)),x38682),x38683),f326(f326(f110(f939(x38681,a927)),x38683),x38682))
% 197.76/197.83 [3869]E(f326(f326(f101(f939(x38691,a927)),x38692),x38693),f326(f326(f101(f939(x38691,a927)),x38693),x38692))
% 197.76/197.83 [3871]E(f326(f326(f134(x38711),x38712),f326(f326(f151(x38711),x38713),f113(x38711))),f326(f167(x38711),f326(f326(f151(x38711),x38713),x38712)))
% 197.76/197.83 [3872]E(f326(f326(f134(x38721),f326(f168(x38721),x38722)),f326(f168(x38721),x38723)),f326(f168(x38721),f326(f326(f134(x38721),x38723),x38722)))
% 197.76/197.83 [3882]E(f326(f171(x38821),f326(f326(f175(x38821),f326(a112,x38822)),x38823)),f326(f326(f175(x38821),x38822),f326(f171(x38821),x38823)))
% 197.76/197.83 [3890]P1(f326(f326(f328(x38901),x38902),f326(f326(f308(x38901),x38902),x38903)))
% 197.76/197.83 [3894]E(f326(f326(f39(x38941,f939(x38942,a927)),f188(f939(x38941,a927))),x38943),f241(f939(x38942,a927)))
% 197.76/197.83 [3897]E(f326(f284(x38971,x38971,f262(x38971,x38972)),x38973),f326(f326(f101(f939(x38971,a927)),x38972),x38973))
% 197.76/197.83 [3911]E(f326(f189(f932(x39111)),f326(f326(f151(x39111),x39112),x39113)),f326(f326(f79(a931),f326(f189(f932(x39111)),x39113)),f326(a112,f2(a931))))
% 197.76/197.83 [3916]E(f114(x39161,f326(f326(f134(x39161),x39162),f326(f326(f151(x39161),x39163),f113(x39161)))),x39162)
% 197.76/197.83 [3917]E(f144(x39171,f326(f326(f134(x39171),x39172),f326(f326(f151(x39171),x39173),f113(x39171)))),x39173)
% 197.76/197.83 [3926]E(f326(f326(f134(x39261),f326(f326(f175(x39261),x39262),x39263)),f326(f326(f138(x39261),x39262),x39263)),x39263)
% 197.76/197.83 [3935]E(f326(f326(f3(a931),f326(f326(f79(a931),x39351),x39352)),f326(f326(f79(a931),x39353),x39352)),f326(f326(f3(a931),x39351),x39353))
% 197.76/197.83 [3936]E(f326(f326(f3(a931),f326(f326(f79(a931),x39361),x39362)),f326(f326(f79(a931),x39361),x39363)),f326(f326(f3(a931),x39362),x39363))
% 197.76/197.83 [3942]E(f326(f326(f134(x39421),f326(f168(x39421),x39422)),f326(f326(f151(x39421),x39423),f113(x39421))),f326(f168(x39421),f326(f326(f151(x39421),x39423),x39422)))
% 197.76/197.83 [3944]E(f326(f326(f79(a931),f326(f189(f932(x39441)),x39442)),f326(f189(f932(x39441)),x39443)),f326(f189(f932(x39441)),f326(f326(f134(x39441),x39442),x39443)))
% 197.76/197.83 [3947]E(f326(f326(f79(a931),f326(f189(f932(x39471)),x39472)),f326(f189(f932(x39471)),x39473)),f326(f189(f932(x39471)),f173(x39471,x39472,x39473)))
% 197.76/197.83 [3954]E(f326(f326(f110(f939(x39541,a927)),f326(f172(x39541),x39542)),f326(f172(x39541),x39543)),f326(f172(x39541),f326(f326(f134(x39541),x39542),x39543)))
% 197.76/197.83 [3955]E(f45(a931,f326(f326(f80(a931),x39551),x39552),f326(f326(f80(a931),x39551),x39553)),f326(f326(f80(a931),x39551),f45(a931,x39552,x39553)))
% 197.76/197.83 [3967]E(f326(f326(f175(x39671),f326(f326(f3(a931),x39672),f77(a931))),f326(f171(x39671),x39673)),f326(f171(x39671),f326(f326(f175(x39671),x39672),x39673)))
% 197.76/197.83 [3972]E(f326(f326(f101(f939(x39721,a927)),x39722),f326(f78(f939(x39721,a927)),x39723)),f326(f326(f3(f939(x39721,a927)),x39722),x39723))
% 197.76/197.83 [3973]E(f326(f326(f3(f939(x39731,a927)),x39732),f326(f78(f939(x39731,a927)),x39733)),f326(f326(f101(f939(x39731,a927)),x39732),x39733))
% 197.76/197.83 [3996]E(f326(f326(f253(x39961,x39962),x39963),f326(f18(f939(x39962,a927),x39961),f188(f939(x39962,a927)))),f188(f939(f938(x39961,x39962),a927)))
% 197.76/197.83 [3998]E(f326(f326(f3(a931),f326(f326(f80(a931),x39981),x39982)),f326(f326(f80(a931),x39981),x39983)),f326(f326(f80(a931),x39981),f326(f326(f3(a931),x39982),x39983)))
% 197.76/197.83 [3999]E(f326(f326(f79(a931),f326(f326(f80(a931),x39991),x39992)),f326(f326(f80(a931),x39991),x39993)),f326(f326(f80(a931),x39991),f326(f326(f79(a931),x39992),x39993)))
% 197.76/197.83 [4000]E(f326(f326(f3(a1),f326(f326(f80(a1),x40001),x40002)),f326(f326(f80(a1),x40001),x40003)),f326(f326(f80(a1),x40001),f326(f326(f3(a1),x40002),x40003)))
% 197.76/197.83 [4001]E(f326(f326(f79(a1),f326(f326(f80(a1),x40011),x40012)),f326(f326(f80(a1),x40011),x40013)),f326(f326(f80(a1),x40011),f326(f326(f79(a1),x40012),x40013)))
% 197.76/197.83 [4002]E(f326(f326(f80(a1),f326(f326(f243(a1),x40021),x40022)),f326(f326(f243(a1),x40021),x40023)),f326(f326(f243(a1),x40021),f326(f326(f79(a931),x40022),x40023)))
% 197.76/197.83 [4016]E(f326(f326(f40(x40161,f939(x40162,a927)),x40163),f326(f18(f939(x40162,a927),x40161),f188(f939(x40162,a927)))),f188(f939(x40162,a927)))
% 197.76/197.83 [4018]E(f45(a931,f326(f326(f80(a931),x40181),x40182),f326(f326(f80(a931),x40183),x40182)),f326(f326(f80(a931),f45(a931,x40181,x40183)),x40182))
% 197.76/197.83 [4023]E(f45(a1,f326(f326(f3(a1),x40231),f45(a1,x40232,x40233)),x40233),f45(a1,f326(f326(f3(a1),x40231),x40232),x40233))
% 197.76/197.83 [4024]E(f45(a1,f326(f326(f80(a1),x40241),f45(a1,x40242,x40243)),x40243),f45(a1,f326(f326(f80(a1),x40241),x40242),x40243))
% 197.76/197.83 [4025]P1(f326(f326(f234(f939(x40251,a927)),x40252),f326(f326(f308(x40251),x40253),x40252)))
% 197.76/197.83 [4102]E(f326(f326(f39(f939(x41021,a927),f939(x41021,a927)),x41022),f326(f110(f939(x41021,a927)),x41023)),f326(f326(f110(f939(x41021,a927)),x41023),f38(f939(x41021,a927),x41022)))
% 197.76/197.83 [4103]E(f326(f326(f40(f939(x41031,a927),f939(x41031,a927)),x41032),f326(f101(f939(x41031,a927)),x41033)),f326(f326(f101(f939(x41031,a927)),x41033),f37(f939(x41031,a927),x41032)))
% 197.76/197.83 [4115]E(f326(f172(x41151),f326(f326(f326(f183(f932(x41151),f932(x41151)),x41152),f167(x41151)),x41153)),f326(f172(x41151),x41153))
% 197.76/197.83 [4119]E(f326(f326(f175(x41191),f326(f189(f932(x41191)),f177(x41191,x41192,x41193))),x41193),f177(x41191,x41192,x41193))
% 197.76/197.83 [4123]E(f326(f189(f932(x41231)),f326(f326(f326(f183(f932(x41231),f932(x41231)),x41232),f167(x41231)),x41233)),f326(f189(f932(x41231)),x41233))
% 197.76/197.83 [4126]E(f326(f326(f256(x41261,x41262,x41262),f326(f18(f939(x41262,x41262),x41261),f7(x41262))),x41263),f326(f255(x41261,x41262),x41263))
% 197.76/197.83 [4133]E(f45(a1,f326(f326(f3(a1),f45(a1,x41331,x41332)),x41333),x41332),f45(a1,f326(f326(f3(a1),x41331),x41333),x41332))
% 197.76/197.83 [4134]E(f45(a1,f326(f326(f243(a1),f45(a1,x41341,x41342)),x41343),x41342),f45(a1,f326(f326(f243(a1),x41341),x41343),x41342))
% 197.76/197.83 [4137]E(f326(f326(f40(f939(f938(x41371,x41372),a927),f939(x41372,a927)),x41373),f283(x41371,x41372)),f326(f283(x41371,x41372),f37(f939(f938(x41371,x41372),a927),x41373)))
% 197.76/197.83 [4138]E(f326(f326(f40(f939(f938(x41381,x41382),a927),f939(x41381,a927)),x41383),f263(x41381,x41382)),f326(f263(x41381,x41382),f37(f939(f938(x41381,x41382),a927),x41383)))
% 197.76/197.83 [4162]E(f326(f72(x41621,x41621,x41621,x41622),f326(f326(f183(x41621,x41621),x41623),x41622)),f326(f326(f183(x41621,x41621),f326(a112,x41623)),x41622))
% 197.76/197.83 [4180]E(f326(f326(f138(x41801),f326(f326(f3(a931),f326(f189(f932(x41801)),x41802)),x41803)),f326(f168(x41801),x41802)),f326(f168(x41801),f326(f326(f175(x41801),x41803),x41802)))
% 197.76/197.83 [4181]E(f326(f326(f175(x41811),f326(f326(f3(a931),f326(f189(f932(x41811)),x41812)),x41813)),f326(f168(x41811),x41812)),f326(f168(x41811),f326(f326(f138(x41811),x41813),x41812)))
% 197.76/197.83 [4183]E(f326(f326(f79(a931),f326(f165(a931),f326(f326(f154(x41831,a931),x41832),x41833))),f326(f189(f932(x41831)),x41833)),f155(x41831,x41832,x41833))
% 197.76/197.83 [4203]E(f326(f167(x42031),f326(f326(f326(f183(f932(x42031),f932(x42031)),x42032),f167(x42031)),x42033)),f326(f326(f326(f183(f932(x42031),f932(x42031)),f326(a112,x42032)),f167(x42031)),x42033))
% 197.76/197.83 [4217]P1(f326(f326(f234(a931),f326(f189(f932(x42171)),f326(f136(x42171,x42172),x42173))),f326(f189(f932(x42171)),x42173)))
% 197.76/197.83 [4233]E(f326(f326(f110(f939(f939(x42331,a927),a927)),f326(f307(x42331),x42332)),f326(f309(f939(x42331,a927),f939(x42331,a927),f326(f308(x42331),x42333)),f326(f307(x42331),x42332))),f326(f307(x42331),f326(f326(f308(x42331),x42333),x42332)))
% 197.76/197.83 [4252]P26(x42521,x42522,f326(f326(f308(f930(x42521)),f326(f326(f326(f90(x42521),x42523),a25),x42523)),f188(f939(f930(x42521),a927))))
% 197.76/197.83 [4266]P1(f326(f326(f234(a931),f326(f189(f932(x42661)),f177(x42661,x42662,x42663))),f326(f189(f932(x42661)),x42663)))
% 197.76/197.83 [4273]E(f326(f263(x42731,x42732),f326(f261(f938(x42731,x42732)),f326(f256(x42731,x42732,a927),x42733))),f326(f261(x42731),f326(f326(f10(f939(x42732,a927),a927,x42731),f86(x42732)),x42733)))
% 197.76/197.83 [4285]E(f326(f309(a931,a931,f326(f326(f9(a931,a931,a931),f79(a931)),x42851)),f302(a931,x42852,x42853)),f302(a931,f326(f326(f79(a931),x42852),x42851),f326(f326(f79(a931),x42853),x42851)))
% 197.76/197.83 [4299]E(f326(f309(a931,a931,f326(f326(f9(a931,a931,a931),f79(a931)),x42991)),f326(f301(a931,x42992),x42993)),f326(f301(a931,f326(f326(f79(a931),x42992),x42991)),f326(f326(f79(a931),x42993),x42991)))
% 197.76/197.83 [4317]E(f326(f326(f181(x43171,x43172),f326(f326(f154(f938(x43171,x43172),x43171),f250(x43171,x43172)),x43173)),f326(f326(f154(f938(x43171,x43172),x43172),f255(x43171,x43172)),x43173)),x43173)
% 197.76/197.83 [4322]E(f326(f326(f79(a931),f326(f326(f80(a931),x43221),f45(a931,f326(f326(f36(a931),x43222),x43221),x43223))),f45(a931,x43222,x43221)),f45(a931,x43222,f326(f326(f80(a931),x43221),x43223)))
% 197.76/197.83 [4335]E(f326(f326(f134(x43351),x43352),f326(f142(f932(x43351),f932(x43351),f134(x43351),f113(x43351)),x43353)),f326(f142(f932(x43351),f932(x43351),f134(x43351),x43352),x43353))
% 197.76/197.83 [4356]P1(f326(f326(f328(f938(x43561,x43561)),f326(f326(f251(x43561,x43561),x43562),x43562)),f326(f326(f183(f938(x43561,x43561),a927),f2(a931)),x43563)))
% 197.76/197.83 [4361]E(f326(f261(x43611),f326(f326(f10(f939(x43612,a927),a927,x43611),f86(x43612)),f326(f9(x43612,x43611,a927),x43613))),f326(f283(x43612,x43611),f326(f261(f938(x43612,x43611)),f326(f256(x43612,x43611,a927),x43613))))
% 197.76/197.83 [4378]E(f326(f326(f110(f939(x43781,a927)),f326(f326(f40(a931,f939(x43781,a927)),f302(a931,f77(a931),x43782)),x43783)),f326(x43783,f2(a931))),f326(f326(f40(a931,f939(x43781,a927)),f326(f300(a931),x43782)),x43783))
% 197.76/197.83 [4393]E(f326(f142(f932(x43931),f932(x43931),f134(x43931),f113(x43931)),f326(f326(f154(f932(x43931),f932(x43931)),f136(x43931,x43932)),x43933)),f326(f136(x43931,x43932),f326(f142(f932(x43931),f932(x43931),f134(x43931),f113(x43931)),x43933)))
% 197.76/197.83 [4397]E(f326(f255(f932(x43971),f932(x43971)),f166(x43971,x43972,x43973)),f326(f136(x43971,f326(f72(a927,a927,x43971,a321),x43972)),x43973))
% 197.76/197.83 [4442]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),x44421),f326(f326(f36(a1),x44422),x44421))),f45(a1,x44422,x44421))),x44423),f326(f326(f79(a1),x44422),x44423))
% 197.76/197.83 [4479]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f326(f36(a1),x44791),x44792)),x44792)),f45(a1,x44791,x44792))),x44793),f326(f326(f79(a1),x44791),x44793))
% 197.76/197.83 [4505]E(f84(f938(x45051,x45052),f326(f256(x45051,x45052,a927),f326(f326(f10(f939(x45052,f938(x45051,x45052)),f939(x45052,a927),x45051),f326(f10(f938(x45051,x45052),a927,x45052),x45053)),f251(x45051,x45052)))),f84(f938(x45051,x45052),x45053))
% 197.76/197.83 [4506]E(f89(f938(x45061,x45062),f326(f256(x45061,x45062,a927),f326(f326(f10(f939(x45062,f938(x45061,x45062)),f939(x45062,a927),x45061),f326(f10(f938(x45061,x45062),a927,x45062),x45063)),f251(x45061,x45062)))),f89(f938(x45061,x45062),x45063))
% 197.76/197.83 [4533]P1(f326(f326(f234(f939(x45331,a927)),f37(f939(x45331,a927),f326(f326(f101(f939(f939(x45331,a927),a927)),x45332),x45333))),f326(f326(f101(f939(x45331,a927)),f37(f939(x45331,a927),x45332)),f37(f939(x45331,a927),x45333))))
% 197.76/197.83 [4534]E(f326(f168(x45341),f326(f326(f326(f183(f932(x45341),f932(x45341)),f326(f326(f3(a931),f326(f189(f932(x45341)),x45342)),f45(a931,x45343,f326(f189(f932(x45341)),x45342)))),f167(x45341)),x45342)),f326(f326(f326(f183(f932(x45341),f932(x45341)),x45343),f167(x45341)),f326(f168(x45341),x45342)))
% 197.76/197.83 [4571]P1(f326(f326(f234(a931),f326(f189(f932(x45711)),f326(f326(f138(x45711),f326(f189(f932(x45711)),f177(x45711,x45712,x45713))),x45713))),f326(f189(f932(x45711)),x45713)))
% 197.76/197.83 [4809]~P1(f326(f62(x48091,x48092,f188(f939(x48091,a927))),x48093))
% 197.76/197.83 [4814]~P1(f326(f326(f328(f938(x48141,x48141)),f326(f326(f251(x48141,x48141),x48142),x48143)),f153(x48141,f113(f939(x48141,a931)))))
% 197.76/197.83 [3883]E(f326(f189(f932(x38831)),f326(f326(f175(x38831),x38832),x38833)),f326(f326(f232(a931),f326(f189(f932(x38831)),x38833)),x38832))
% 197.76/197.83 [3884]E(f326(f189(f932(x38841)),f326(f326(f138(x38841),x38842),x38843)),f326(f326(f3(a931),f326(f189(f932(x38841)),x38843)),x38842))
% 197.76/197.83 [3910]E(f326(f189(f932(f932(x39101))),f55(x39101,x39102,x39103)),f326(f326(f243(a931),f326(f189(f932(x39101)),x39103)),x39102))
% 197.76/197.83 [3928]E(f326(f326(f36(a931),f326(f326(f36(a931),x39281),x39282)),x39283),f326(f326(f36(a931),x39281),f326(f326(f80(a931),x39282),x39283)))
% 197.76/197.83 [3929]E(f326(f326(f3(a931),f326(f326(f3(a931),x39291),x39292)),x39293),f326(f326(f3(a931),x39291),f326(f326(f79(a931),x39292),x39293)))
% 197.76/197.83 [3930]E(f326(f326(f80(a931),f326(f326(f80(a931),x39301),x39302)),x39303),f326(f326(f80(a931),x39301),f326(f326(f80(a931),x39302),x39303)))
% 197.76/197.83 [3931]E(f326(f326(f80(a1),f326(f326(f80(a1),x39311),x39312)),x39313),f326(f326(f80(a1),x39311),f326(f326(f80(a1),x39312),x39313)))
% 197.76/197.83 [3932]E(f326(f326(f79(a931),f326(f326(f79(a931),x39321),x39322)),x39323),f326(f326(f79(a931),x39321),f326(f326(f79(a931),x39322),x39323)))
% 197.76/197.83 [3933]E(f326(f326(f79(a1),f326(f326(f79(a1),x39331),x39332)),x39333),f326(f326(f79(a1),x39331),f326(f326(f79(a1),x39332),x39333)))
% 197.76/197.83 [3934]E(f326(f326(f243(a1),f326(f326(f243(a1),x39341),x39342)),x39343),f326(f326(f243(a1),x39341),f326(f326(f80(a931),x39342),x39343)))
% 197.76/197.83 [3953]E(f162(x39531,f326(f326(f151(f939(x39531,a927)),x39532),x39533)),f174(x39531,x39532,f162(x39531,x39533)))
% 197.76/197.83 [3997]E(f326(f326(f3(a931),f326(f326(f3(a931),x39971),x39972)),x39973),f326(f326(f3(a931),f326(f326(f3(a931),x39971),x39973)),x39972))
% 197.76/197.83 [4005]E(f326(f326(f101(f939(x40051,a927)),x40052),f326(f326(f3(f939(x40051,a927)),x40053),x40052)),f188(f939(x40051,a927)))
% 197.76/197.83 [4009]E(f326(f326(f154(a931,x40091),f326(f18(x40091,a931),x40092)),f139(a931,f326(f301(a931,f2(a931)),x40093))),f169(x40091,x40093,x40092))
% 197.76/197.83 [4047]E(f37(f939(x40471,a927),f326(f326(f308(f939(x40471,a927)),x40472),x40473)),f326(f326(f110(f939(x40471,a927)),x40472),f37(f939(x40471,a927),x40473)))
% 197.76/197.83 [4048]E(f38(f939(x40481,a927),f326(f326(f308(f939(x40481,a927)),x40482),x40483)),f326(f326(f101(f939(x40481,a927)),x40482),f38(f939(x40481,a927),x40483)))
% 197.76/197.83 [4050]E(f169(x40501,f326(f189(f932(x40501)),f326(f136(x40501,f326(a323,x40502)),x40503)),x40502),f326(f136(x40501,f326(a323,x40502)),x40503))
% 197.76/197.83 [4052]E(f326(f326(f3(a931),f326(f326(f80(a931),x40521),x40522)),f326(f326(f80(a931),x40523),x40522)),f326(f326(f80(a931),f326(f326(f3(a931),x40521),x40523)),x40522))
% 197.76/197.83 [4053]E(f326(f326(f79(a931),f326(f326(f80(a931),x40531),x40532)),f326(f326(f80(a931),x40533),x40532)),f326(f326(f80(a931),f326(f326(f79(a931),x40531),x40533)),x40532))
% 197.76/197.83 [4054]E(f326(f326(f3(a1),f326(f326(f80(a1),x40541),x40542)),f326(f326(f80(a1),x40543),x40542)),f326(f326(f80(a1),f326(f326(f3(a1),x40541),x40543)),x40542))
% 197.76/197.83 [4055]E(f326(f326(f79(a1),f326(f326(f80(a1),x40551),x40552)),f326(f326(f80(a1),x40553),x40552)),f326(f326(f80(a1),f326(f326(f79(a1),x40551),x40553)),x40552))
% 197.76/197.83 [4057]E(f326(f326(f232(a931),f326(f326(f3(a931),x40571),x40572)),f326(f326(f3(a931),x40573),x40572)),f326(f326(f3(a931),f326(f326(f232(a931),x40571),x40573)),x40572))
% 197.76/197.83 [4079]E(f326(f326(f101(f939(f932(x40791),a927)),f160(x40791,x40792)),f160(x40791,x40793)),f160(x40791,f326(f326(f101(f939(x40791,a927)),x40792),x40793)))
% 197.76/197.83 [4082]E(f326(f326(f110(f939(x40821,a927)),x40822),f326(f326(f110(f939(x40821,a927)),x40822),x40823)),f326(f326(f110(f939(x40821,a927)),x40822),x40823))
% 197.76/197.83 [4083]E(f326(f326(f110(f939(x40831,a927)),x40832),f326(f326(f3(f939(x40831,a927)),x40833),x40832)),f326(f326(f110(f939(x40831,a927)),x40832),x40833))
% 197.76/197.83 [4084]E(f326(f326(f101(f939(x40841,a927)),x40842),f326(f326(f101(f939(x40841,a927)),x40842),x40843)),f326(f326(f101(f939(x40841,a927)),x40842),x40843))
% 197.76/197.83 [4096]E(f326(f326(f288(x40961,x40962,x40962),x40963),f306(x40962,f188(f939(f938(x40962,x40962),a927)))),x40963)
% 197.76/197.83 [4099]E(f326(f326(f110(f939(x40991,a927)),f326(f326(f308(x40991),x40992),f188(f939(x40991,a927)))),x40993),f326(f326(f308(x40991),x40992),x40993))
% 197.76/197.83 [4118]E(f326(f326(f3(a931),f326(f326(f3(a931),f326(a112,x41181)),x41182)),f326(a112,x41183)),f326(f326(f3(a931),f326(f326(f3(a931),x41181),x41182)),x41183))
% 197.76/197.83 [4146]E(f326(f326(f101(f939(f939(x41461,a927),a927)),f326(f307(x41461),x41462)),f326(f307(x41461),x41463)),f326(f307(x41461),f326(f326(f101(f939(x41461,a927)),x41462),x41463)))
% 197.76/197.83 [4149]E(f326(f326(f110(f939(x41491,a927)),f326(f78(f939(x41491,a927)),x41492)),x41493),f326(f78(f939(x41491,a927)),f326(f326(f3(f939(x41491,a927)),x41492),x41493)))
% 197.76/197.83 [4159]E(f326(f326(f308(x41591),x41592),f326(f326(f3(f939(x41591,a927)),x41593),f326(f326(f308(x41591),x41592),f188(f939(x41591,a927))))),f326(f326(f308(x41591),x41592),x41593))
% 197.76/197.83 [4169]P1(f326(f326(f234(f939(x41691,a927)),x41692),f326(f326(f110(f939(x41691,a927)),x41693),x41692)))
% 197.76/197.83 [4170]P1(f326(f326(f234(f939(x41701,a927)),x41702),f326(f326(f110(f939(x41701,a927)),x41702),x41703)))
% 197.76/197.83 [4174]E(f326(f326(f101(f939(x41741,a927)),f326(f78(f939(x41741,a927)),x41742)),f326(f78(f939(x41741,a927)),x41743)),f326(f78(f939(x41741,a927)),f326(f326(f110(f939(x41741,a927)),x41742),x41743)))
% 197.76/197.83 [4175]E(f326(f326(f110(f939(x41751,a927)),f326(f78(f939(x41751,a927)),x41752)),f326(f78(f939(x41751,a927)),x41753)),f326(f78(f939(x41751,a927)),f326(f326(f101(f939(x41751,a927)),x41752),x41753)))
% 197.76/197.83 [4189]P1(f326(f326(f234(f939(x41891,a927)),f326(f172(x41891),x41892)),f326(f172(x41891),f326(f326(f151(x41891),x41893),x41892))))
% 197.76/197.83 [4201]E(f326(f326(f110(f939(x42011,a927)),f326(f326(f3(f939(x42011,a927)),x42012),x42013)),f326(f326(f101(f939(x42011,a927)),x42012),x42013)),x42012)
% 197.76/197.83 [4253]E(f326(f326(f8(x42531,a1),f326(f326(f10(a931,a1,x42531),f100(a1)),x42532)),x42533),f326(f100(a1),f326(f326(f8(x42531,a931),x42532),x42533)))
% 197.76/197.83 [4254]E(f326(f326(f11(x42541,a1),f326(f326(f10(a931,a1,x42541),f100(a1)),x42542)),x42543),f326(f100(a1),f326(f326(f11(x42541,a931),x42542),x42543)))
% 197.76/197.83 [4301]E(f326(f326(f134(x43011),f177(x43011,x43012,x43013)),f326(f326(f138(x43011),f326(f189(f932(x43011)),f177(x43011,x43012,x43013))),x43013)),x43013)
% 197.76/197.83 [4305]E(f326(f78(f939(f938(x43051,x43052),a927)),f326(f326(f253(x43051,x43052),x43053),f326(f18(f939(x43052,a927),x43051),f241(f939(x43052,a927))))),f326(f326(f253(x43051,x43052),f326(f78(f939(x43051,a927)),x43053)),f326(f18(f939(x43052,a927),x43051),f241(f939(x43052,a927)))))
% 197.76/197.83 [4306]E(f326(f78(f939(f938(x43061,x43062),a927)),f326(f326(f253(x43061,x43062),f241(f939(x43061,a927))),f326(f18(f939(x43062,a927),x43061),x43063))),f326(f326(f253(x43061,x43062),f241(f939(x43061,a927))),f326(f18(f939(x43062,a927),x43061),f326(f78(f939(x43062,a927)),x43063))))
% 197.76/197.83 [4357]E(f326(f326(f40(f939(x43571,a927),f939(x43571,a927)),x43572),f326(f326(f9(f939(x43571,a927),f939(x43571,a927),f939(x43571,a927)),f101(f939(x43571,a927))),x43573)),f326(f326(f101(f939(x43571,a927)),f37(f939(x43571,a927),x43572)),x43573))
% 197.76/197.83 [4363]E(f326(f142(f932(x43631),f932(x43631),f134(x43631),f113(x43631)),f326(f326(f151(f932(x43631)),x43632),x43633)),f326(f326(f134(x43631),x43632),f326(f142(f932(x43631),f932(x43631),f134(x43631),f113(x43631)),x43633)))
% 197.76/197.83 [4384]E(f326(f326(f308(f939(x43841,a927)),f326(f284(x43841,x43841,x43842),f326(f326(f308(x43841),x43843),f188(f939(x43841,a927))))),f188(f939(f939(x43841,a927),a927))),f326(f326(f60(x43841),f326(f326(f308(x43841),x43843),f188(f939(x43841,a927)))),x43842))
% 197.76/197.83 [4394]E(f326(f326(f79(a931),f326(f326(f80(a931),x43941),f326(f326(f36(a931),x43942),x43943))),f326(f326(f36(a931),f326(f326(f80(a931),x43941),f45(a931,x43942,x43943))),x43943)),f326(f326(f36(a931),f326(f326(f80(a931),x43941),x43942)),x43943))
% 197.76/197.83 [4395]E(f326(f326(f79(a1),f326(f326(f80(a1),x43951),f326(f326(f36(a1),x43952),x43953))),f326(f326(f36(a1),f326(f326(f80(a1),x43951),f45(a1,x43952,x43953))),x43953)),f326(f326(f36(a1),f326(f326(f80(a1),x43951),x43952)),x43953))
% 197.76/197.83 [4427]E(f326(f326(f3(f939(x44271,a927)),f326(f172(x44271),x44272)),f326(f326(f308(x44271),x44273),f188(f939(x44271,a927)))),f326(f172(x44271),f326(f136(x44271,f326(f326(f10(a927,a927,x44271),a321),f326(a323,x44273))),x44272)))
% 197.76/197.83 [4477]E(f326(f326(f134(x44771),f326(f142(f932(x44771),f932(x44771),f134(x44771),f113(x44771)),x44772)),f326(f142(f932(x44771),f932(x44771),f134(x44771),f113(x44771)),x44773)),f326(f142(f932(x44771),f932(x44771),f134(x44771),f113(x44771)),f326(f326(f134(f932(x44771)),x44772),x44773)))
% 197.76/197.83 [4480]E(f326(f326(f251(f932(x44801),f932(x44801)),f326(f136(x44801,x44802),x44803)),f326(f136(x44801,f326(f72(a927,a927,x44801,a321),x44802)),x44803)),f166(x44801,x44802,x44803))
% 197.76/197.83 [4483]E(f326(f326(f79(a931),f326(f326(f79(a931),f326(f326(f36(a931),x44831),x44832)),f326(f326(f36(a931),x44833),x44832))),f326(f326(f36(a931),f326(f326(f79(a931),f45(a931,x44831,x44832)),f45(a931,x44833,x44832))),x44832)),f326(f326(f36(a931),f326(f326(f79(a931),x44831),x44833)),x44832))
% 197.76/197.83 [4484]E(f326(f326(f79(a1),f326(f326(f79(a1),f326(f326(f36(a1),x44841),x44842)),f326(f326(f36(a1),x44843),x44842))),f326(f326(f36(a1),f326(f326(f79(a1),f45(a1,x44841,x44842)),f45(a1,x44843,x44842))),x44842)),f326(f326(f36(a1),f326(f326(f79(a1),x44841),x44843)),x44842))
% 197.76/197.83 [4537]E(f326(f326(f101(f939(f932(x45371),a927)),f326(f326(f9(f932(x45371),f939(f932(x45371),a927),a927),f328(f932(x45371))),f161(x45371,x45372))),f326(f326(f9(f932(x45371),f939(f932(x45371),a927),a927),f328(f932(x45371))),f161(x45371,x45373))),f160(x45371,f326(f326(f101(f939(x45371,a927)),f326(f326(f9(x45371,f939(x45371,a927),a927),f328(x45371)),x45372)),f326(f326(f9(x45371,f939(x45371,a927),a927),f328(x45371)),x45373))))
% 197.76/197.83 [4549]E(f326(f261(x45491),f326(f326(f20(x45491,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45491),a325),f326(f326(f9(x45491,x45491,a927),a323),x45492))),f326(f326(f9(x45491,f939(x45491,a927),a927),f328(x45491)),x45493))),f326(f326(f308(x45491),x45492),x45493))
% 197.76/197.83 [4569]E(f326(f326(f85(f932(f932(x45691)),f932(f932(x45691))),f54(x45691,x45692)),f326(f326(f20(f932(f932(x45691)),f932(f932(x45691)),f932(f932(x45691))),f326(f326(f10(f932(f932(x45691)),f939(f932(f932(x45691)),f932(f932(x45691))),f932(f932(x45691))),f134(f932(x45691))),f326(f154(f932(x45691),f932(x45691)),f326(f151(x45691),x45693)))),f7(f932(f932(x45691))))),f54(x45691,f326(f326(f151(x45691),x45693),x45692)))
% 197.76/197.83 [4572]E(f326(f261(x45721),f326(f326(f20(x45721,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45721),a325),f326(f326(f9(x45721,f939(x45721,a927),a927),f328(x45721)),x45722))),f326(f326(f9(x45721,f939(x45721,a927),a927),f328(x45721)),x45723))),f326(f326(f110(f939(x45721,a927)),x45722),x45723))
% 197.76/197.83 [4573]E(f326(f261(x45731),f326(f326(f20(x45731,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45731),a324),f326(f326(f9(x45731,f939(x45731,a927),a927),f328(x45731)),x45732))),f326(f326(f9(x45731,f939(x45731,a927),a927),f328(x45731)),x45733))),f326(f326(f101(f939(x45731,a927)),x45732),x45733))
% 197.76/197.83 [4662]E(f326(f326(f40(x46621,f939(f939(x46621,a927),a927)),x46622),f326(f326(f9(x46621,f939(f939(x46621,a927),a927),f939(f939(x46621,a927),a927)),f326(f326(f10(f939(x46621,a927),f939(f939(f939(x46621,a927),a927),f939(f939(x46621,a927),a927)),x46621),f308(f939(x46621,a927))),f326(f326(f10(f939(x46621,a927),f939(x46621,a927),x46621),f284(x46621,x46621,x46623)),f326(f326(f9(x46621,f939(x46621,a927),f939(x46621,a927)),f308(x46621)),f188(f939(x46621,a927)))))),f188(f939(f939(x46621,a927),a927)))),f326(f326(f60(x46621),x46622),x46623))
% 197.76/197.83 [4664]E(f326(f326(f201(x46641),f326(f326(f80(a1),f326(f326(f72(f938(a1,a1),a1,x46641,f250(a1,a1)),f212(x46641)),x46642)),f326(f326(f72(f938(a1,a1),a1,x46641,f250(a1,a1)),f212(x46641)),x46643))),f326(f326(f80(a1),f326(f326(f72(f938(a1,a1),a1,x46641,f255(a1,a1)),f212(x46641)),x46642)),f326(f326(f72(f938(a1,a1),a1,x46641,f255(a1,a1)),f212(x46641)),x46643))),f228(x46641,x46642,x46643))
% 197.76/197.83 [4667]E(f326(f261(f932(x46671)),f326(f326(f20(f932(x46671),a927,a927),f326(f326(f10(a927,f939(a927,a927),f932(x46671)),a324),f326(f326(f9(f932(x46671),a931,a927),f326(f326(f10(a931,f939(a931,a927),f932(x46671)),a323),f189(f932(x46671)))),x46672))),f326(f326(f9(f932(x46671),f939(x46671,a927),a927),f326(f326(f10(f939(x46671,a927),f939(f939(x46671,a927),a927),f932(x46671)),f234(f939(x46671,a927))),f172(x46671))),f326(f172(x46671),x46673)))),f326(f172(f932(x46671)),f55(x46671,x46672,x46673)))
% 197.76/197.83 [4070]E(f45(a931,f326(f326(f79(a931),f326(f326(f80(a931),x40701),x40702)),x40703),x40702),f45(a931,x40703,x40702))
% 197.76/197.83 [4117]E(f139(a931,f326(f301(a931,f326(f326(f79(a931),x41171),x41172)),x41173)),f326(f326(f138(a931),x41172),f139(a931,f326(f301(a931,x41171),x41173))))
% 197.76/197.83 [4158]E(f326(f326(f79(a1),f326(f100(a1),x41581)),f326(f326(f79(a1),f326(f100(a1),x41582)),x41583)),f326(f326(f79(a1),f326(f100(a1),f326(f326(f79(a931),x41581),x41582))),x41583))
% 197.76/197.83 [4165]E(f326(f326(f110(f939(x41651,a927)),f326(f326(f3(f939(x41651,a927)),x41652),x41653)),x41653),f326(f326(f110(f939(x41651,a927)),x41652),x41653))
% 197.76/197.83 [4166]E(f326(f326(f3(f939(x41661,a927)),f326(f326(f3(f939(x41661,a927)),x41662),x41663)),x41663),f326(f326(f3(f939(x41661,a927)),x41662),x41663))
% 197.76/197.83 [4190]E(f326(f326(f288(x41901,x41901,x41902),f306(x41901,f188(f939(f938(x41901,x41901),a927)))),x41903),x41903)
% 197.76/197.83 [4198]E(f326(f326(f110(f939(x41981,a927)),f326(f280(x41981),x41982)),f326(f280(x41981),x41983)),f326(f280(x41981),f326(f326(f110(f939(f938(x41981,x41981),a927)),x41982),x41983)))
% 197.76/197.83 [4208]E(f265(x42081,f326(f326(f151(f938(a99,x42081)),f326(f326(f251(a99,x42081),f2(a99)),x42082)),x42083)),f265(x42081,x42083))
% 197.76/197.83 [4210]E(f326(f326(f110(f939(x42101,a927)),f37(f939(x42101,a927),x42102)),f37(f939(x42101,a927),x42103)),f37(f939(x42101,a927),f326(f326(f110(f939(f939(x42101,a927),a927)),x42102),x42103)))
% 197.76/197.83 [4211]E(f326(f326(f101(f939(x42111,a927)),f38(f939(x42111,a927),x42112)),f38(f939(x42111,a927),x42113)),f38(f939(x42111,a927),f326(f326(f110(f939(f939(x42111,a927),a927)),x42112),x42113)))
% 197.76/197.83 [4248]E(f326(f326(f288(x42481,x42481,x42481),f326(f326(f183(f938(x42481,x42481),a927),x42482),x42483)),x42483),f326(f326(f183(f938(x42481,x42481),a927),f326(a112,x42482)),x42483))
% 197.76/197.83 [4293]P1(f326(f326(f234(f939(x42931,a927)),f326(f326(f3(f939(x42931,a927)),x42932),x42933)),x42932))
% 197.76/197.83 [4294]P1(f326(f326(f234(f939(x42941,a927)),f326(f326(f101(f939(x42941,a927)),x42942),x42943)),x42943))
% 197.76/197.83 [4295]P1(f326(f326(f234(f939(x42951,a927)),f326(f326(f101(f939(x42951,a927)),x42952),x42953)),x42952))
% 197.76/197.83 [4319]E(f306(x43191,f326(f326(f110(f939(f938(x43191,x43191),a927)),f306(x43191,x43192)),f306(x43191,x43193))),f306(x43191,f326(f326(f110(f939(f938(x43191,x43191),a927)),x43192),x43193)))
% 197.76/197.83 [4323]E(f37(f939(x43231,a927),f326(f326(f308(f939(x43231,a927)),x43232),f326(f326(f308(f939(x43231,a927)),x43233),f188(f939(f939(x43231,a927),a927))))),f326(f326(f110(f939(x43231,a927)),x43232),x43233))
% 197.76/197.83 [4324]E(f38(f939(x43241,a927),f326(f326(f308(f939(x43241,a927)),x43242),f326(f326(f308(f939(x43241,a927)),x43243),f188(f939(f939(x43241,a927),a927))))),f326(f326(f101(f939(x43241,a927)),x43242),x43243))
% 197.76/197.83 [4329]E(f326(f326(f288(x43291,x43291,x43291),f326(f326(f183(f938(x43291,x43291),a927),x43292),x43293)),x43293),f326(f326(f288(x43291,x43291,x43291),x43293),f326(f326(f183(f938(x43291,x43291),a927),x43292),x43293)))
% 197.76/197.83 [4398]E(f326(f326(f110(f939(x43981,a927)),f326(f261(x43981),f326(f326(f9(x43981,x43981,a927),a323),x43982))),x43983),f326(f326(f308(x43981),x43982),x43983))
% 197.76/197.83 [4400]E(f326(a104,f326(f326(f8(x44001,a1),f326(f326(f10(a931,a1,x44001),f100(a1)),x44002)),x44003)),f326(f326(f8(x44001,a931),x44002),x44003))
% 197.76/197.83 [4401]E(f326(a104,f326(f326(f11(x44011,a1),f326(f326(f10(a931,a1,x44011),f100(a1)),x44012)),x44013)),f326(f326(f11(x44011,a931),x44012),x44013))
% 197.76/197.83 [4474]E(f326(f156(f932(x44741),x44741,f326(f171(x44741),x44742),f326(f18(f939(f932(x44741),f932(x44741)),x44741),f326(f326(f9(f932(x44741),f932(x44741),f932(x44741)),f134(x44741)),x44742))),x44743),f326(f171(x44741),f326(f326(f134(x44741),x44743),x44742)))
% 197.76/197.83 [4502]P1(f326(f326(f234(f939(f939(x45021,a927),a927)),f326(f326(f110(f939(f939(x45021,a927),a927)),f326(f307(x45021),x45022)),f326(f307(x45021),x45023))),f326(f307(x45021),f326(f326(f110(f939(x45021,a927)),x45022),x45023))))
% 197.76/197.83 [4591]E(f326(f261(x45911),f326(f326(f20(x45911,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45911),a324),f326(f326(f9(x45911,f939(x45911,a927),a927),f328(x45911)),x45912))),f326(f326(f10(a927,a927,x45911),a321),f326(f326(f9(x45911,f939(x45911,a927),a927),f328(x45911)),x45913)))),f326(f326(f3(f939(x45911,a927)),x45912),x45913))
% 197.76/197.83 [4615]E(f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,a931,a927),f235(a931)),f326(f189(f932(x46151)),x46152)))),f326(f326(f10(x46151,a927,a931),x46153),f326(f164(x46151),x46152))))),f326(f189(f932(x46151)),f326(f136(x46151,x46153),x46152)))
% 197.76/197.83 [4617]E(f326(f189(f932(x46171)),f176(x46171,x46172,x46173)),f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,a931,a927),f235(a931)),f326(f189(f932(x46171)),x46172)))),f326(f326(f9(a931,f939(a931,a927),a927),f328(a931)),x46173)))))
% 197.76/197.83 [4713]E(f326(f326(f101(f939(f938(f932(x47131),f932(x47131)),a927)),f326(f309(f938(f938(x47131,f932(x47131)),f938(x47131,f932(x47131))),f938(f932(x47131),f932(x47131)),f257(f938(x47131,f932(x47131)),f932(x47131),f938(x47131,f932(x47131)),f932(x47131),f326(f256(x47131,f932(x47131),f932(x47131)),f151(x47131)),f326(f256(x47131,f932(x47131),f932(x47131)),f151(x47131)))),f319(x47131,f932(x47131),x47132,f326(f143(x47131,x47132),x47133)))),f326(f261(f938(f932(x47131),f932(x47131))),f326(f256(f932(x47131),f932(x47131),a927),f326(f326(f9(f932(x47131),f939(f932(x47131),a927),f939(f932(x47131),a927)),f326(f326(f10(f939(a927,a927),f939(f939(f932(x47131),a927),f939(f932(x47131),a927)),f932(x47131)),f10(a927,a927,f932(x47131))),f326(f326(f10(a927,f939(a927,a927),f932(x47131)),a324),f326(f326(f9(f932(x47131),a931,a927),f326(f326(f10(a931,f939(a931,a927),f932(x47131)),a323),f189(f932(x47131)))),f326(a112,x47133))))),f326(f326(f9(f932(x47131),a931,a927),f326(f326(f10(a931,f939(a931,a927),f932(x47131)),a323),f189(f932(x47131)))),f326(a112,x47133)))))),f326(f143(x47131,x47132),f326(a112,x47133)))
% 197.76/197.83 [4212]E(f45(a931,f326(a112,f326(f326(f79(a931),f326(f326(f80(a931),x42121),x42122)),x42123)),x42122),f45(a931,f326(a112,x42123),x42122))
% 197.76/197.83 [4460]E(f326(f261(x44601),f326(f326(f20(x44601,a927,a927),f326(f326(f10(a927,f939(a927,a927),x44601),a324),x44602)),x44603)),f326(f326(f101(f939(x44601,a927)),f326(f261(x44601),x44602)),f326(f261(x44601),x44603)))
% 197.76/197.83 [4461]E(f326(f261(x44611),f326(f326(f20(x44611,a927,a927),f326(f326(f10(a927,f939(a927,a927),x44611),a325),x44612)),x44613)),f326(f326(f110(f939(x44611,a927)),f326(f261(x44611),x44612)),f326(f261(x44611),x44613)))
% 197.76/197.83 [4463]E(f326(f326(f134(x44631),f326(f326(f138(x44631),f45(a931,x44632,f326(f189(f932(x44631)),x44633))),x44633)),f326(f326(f175(x44631),f45(a931,x44632,f326(f189(f932(x44631)),x44633))),x44633)),f326(f326(f326(f183(f932(x44631),f932(x44631)),x44632),f167(x44631)),x44633))
% 197.76/197.83 [4469]E(f326(f261(x44691),f326(f326(f20(x44691,a927,a927),f326(f326(f10(a927,f939(a927,a927),x44691),a329),x44692)),x44693)),f326(f326(f110(f939(x44691,a927)),f326(f78(f939(x44691,a927)),f326(f261(x44691),x44692))),f326(f261(x44691),x44693)))
% 197.76/197.83 [4485]E(f326(f326(f79(a931),f326(f189(f932(x44851)),f326(f136(x44851,x44852),x44853))),f326(f189(f932(x44851)),f326(f136(x44851,f326(f326(f10(a927,a927,x44851),a321),x44852)),x44853))),f326(f189(f932(x44851)),x44853))
% 197.76/197.83 [4508]P1(f326(f326(f234(f939(x45081,a927)),f326(f326(f110(f939(x45081,a927)),f38(f939(x45081,a927),x45082)),f38(f939(x45081,a927),x45083))),f38(f939(x45081,a927),f326(f326(f101(f939(f939(x45081,a927),a927)),x45082),x45083))))
% 197.76/197.83 [4522]E(f326(f172(x45221),f326(f136(x45221,f326(f326(f10(a927,a927,x45221),a321),f326(f326(f9(x45221,x45221,a927),a323),x45222))),x45223)),f326(f326(f3(f939(x45221,a927)),f326(f172(x45221),x45223)),f326(f326(f308(x45221),x45222),f188(f939(x45221,a927)))))
% 197.76/197.83 [4531]P1(f326(f326(f234(f939(f938(x45311,x45311),a927)),f326(f326(f110(f939(f938(x45311,x45311),a927)),f306(x45311,x45312)),f306(x45311,x45313))),f306(x45311,f326(f326(f110(f939(f938(x45311,x45311),a927)),x45312),x45313))))
% 197.76/197.83 [4554]E(f326(f326(f80(a931),f326(a112,f326(a112,f2(a931)))),f326(f326(f8(a931,a931),f326(f326(f10(a931,a931,a931),f326(f79(a931),x45541)),f326(f326(f9(a931,a931,a931),f80(a931)),x45542))),f326(f281(a931),x45543))),f326(f326(f80(a931),x45543),f326(f326(f79(a931),x45541),f326(f326(f79(a931),x45541),f326(f326(f80(a931),f326(f326(f3(a931),x45543),f77(a931))),x45542)))))
% 197.76/197.83 [4564]E(f326(f261(x45641),f326(f326(f20(x45641,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45641),a324),f326(f326(f9(x45641,f939(x45641,a927),a927),f328(x45641)),f326(f172(x45641),x45642)))),x45643)),f326(f172(x45641),f326(f136(x45641,x45643),x45642)))
% 197.76/197.83 [4712]E(f326(f261(x47121),f326(f326(f10(f939(a931,a927),a927,x47121),f86(a931)),f326(f326(f9(x47121,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),x47121),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),x47121),f326(f10(a927,f939(a927,a927),a931),a324)),f326(f326(f9(x47121,f939(a931,x47121),f939(a931,a927)),f326(f326(f10(f939(x47121,a927),f939(f939(a931,x47121),f939(a931,a927)),x47121),f10(x47121,a927,a931)),a323)),f326(f164(x47121),x47122))))),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,a931,a927),f235(a931)),f326(f189(f932(x47121)),x47122)))),f326(f326(f9(a931,f939(a931,a927),a927),f328(a931)),x47123))))),f326(f172(x47121),f176(x47121,x47122,x47123)))
% 197.76/197.83 [4604]E(f326(f261(x46041),f326(f326(f20(x46041,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46041),a329),f326(f326(f10(a927,a927,x46041),a321),f326(f326(f9(x46041,x46041,a927),a323),x46042)))),x46043)),f326(f326(f308(x46041),x46042),f326(f261(x46041),x46043)))
% 197.76/197.83 [4636]E(f326(f326(f154(f938(x46361,a931),x46361),f250(x46361,a931)),f326(f136(f938(x46361,a931),f326(f326(f9(f938(x46361,a931),f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),f938(x46361,a931)),f328(a931)),f255(x46361,a931))),x46362)),f326(f326(f181(x46361,a931),x46363),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(x46361)),x46363)))))),f176(x46361,x46363,x46362))
% 197.76/197.83 [4663]E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f8(a931,a1),f326(f326(f10(a1,a1,a931),f326(f79(a1),x46631)),f326(f326(f9(a931,a1,a1),f326(f326(f10(a1,f939(a1,a1),a931),f80(a1)),f100(a1))),x46632))),f326(f281(a931),x46633))),f326(f326(f80(a1),f326(f100(a1),x46633)),f326(f326(f79(a1),x46631),f326(f326(f79(a1),x46631),f326(f326(f80(a1),f326(f100(a1),f326(f326(f3(a931),x46633),f77(a931)))),x46632)))))
% 197.76/197.83 [4705]E(f326(f261(f938(x47051,x47052)),f326(f256(x47051,x47052,a927),f326(f326(f9(x47051,f939(f938(x47052,x47051),a927),f939(x47052,a927)),f326(f326(f10(f939(x47052,f939(f939(f938(x47052,x47051),a927),a927)),f939(f939(f938(x47052,x47051),a927),f939(x47052,a927)),x47051),f9(x47052,f939(f938(x47052,x47051),a927),a927)),f326(f326(f10(f939(x47052,f938(x47052,x47051)),f939(x47052,f939(f939(f938(x47052,x47051),a927),a927)),x47051),f326(f10(f938(x47052,x47051),f939(f939(f938(x47052,x47051),a927),a927),x47052),f328(f938(x47052,x47051)))),f326(f9(x47052,x47051,f938(x47052,x47051)),f251(x47052,x47051))))),x47053))),f326(f285(x47052,x47051),x47053))
% 197.76/197.83 [4726]E(f326(f261(f932(x47261)),f326(f326(f10(f939(x47261,a927),a927,f932(x47261)),f86(x47261)),f326(f326(f10(f939(x47261,f939(f932(x47261),a927)),f939(x47261,a927),f932(x47261)),f326(f10(f939(f932(x47261),a927),a927,x47261),f86(f932(x47261)))),f326(f326(f9(f932(x47261),f939(x47261,f939(f932(x47261),a927)),f939(x47261,f939(f932(x47261),a927))),f326(f326(f10(f939(x47261,f939(f939(f932(x47261),a927),f939(f932(x47261),a927))),f939(f939(x47261,f939(f932(x47261),a927)),f939(x47261,f939(f932(x47261),a927))),f932(x47261)),f20(x47261,f939(f932(x47261),a927),f939(f932(x47261),a927))),f326(f326(f10(f939(x47261,f939(f932(x47261),f939(a927,a927))),f939(x47261,f939(f939(f932(x47261),a927),f939(f932(x47261),a927))),f932(x47261)),f326(f10(f939(f932(x47261),f939(a927,a927)),f939(f939(f932(x47261),a927),f939(f932(x47261),a927)),x47261),f20(f932(x47261),a927,a927))),f326(f326(f10(f939(x47261,f939(f932(x47261),a927)),f939(x47261,f939(f932(x47261),f939(a927,a927))),f932(x47261)),f326(f10(f939(f932(x47261),a927),f939(f932(x47261),f939(a927,a927)),x47261),f326(f10(a927,f939(a927,a927),f932(x47261)),a324))),f326(f326(f9(f932(x47261),f939(x47261,f939(f932(x47261),f932(x47261))),f939(x47261,f939(f932(x47261),a927))),f326(f326(f10(f939(f939(f932(x47261),f932(x47261)),f939(f932(x47261),a927)),f939(f939(x47261,f939(f932(x47261),f932(x47261))),f939(x47261,f939(f932(x47261),a927))),f932(x47261)),f10(f939(f932(x47261),f932(x47261)),f939(f932(x47261),a927),x47261)),f326(f326(f10(f939(f932(x47261),a927),f939(f939(f932(x47261),f932(x47261)),f939(f932(x47261),a927)),f932(x47261)),f10(f932(x47261),a927,f932(x47261))),a323))),f151(x47261)))))),f326(f326(f9(x47261,f939(f932(x47261),a927),f939(f932(x47261),a927)),f326(f326(f10(f939(a927,a927),f939(f939(f932(x47261),a927),f939(f932(x47261),a927)),x47261),f10(a927,a927,f932(x47261))),f326(f326(f10(a927,f939(a927,a927),x47261),a324),f326(f326(f9(x47261,f939(x47261,a927),a927),f328(x47261)),x47262)))),f326(f326(f9(f932(x47261),f939(f932(x47261),a927),a927),f328(f932(x47261))),x47263)))))),f174(x47261,x47262,x47263))
% 197.76/197.83 [4723]E(f326(f326(f85(a1,f938(a1,a1)),f326(f326(f3(a1),x47231),x47232)),f326(f326(f9(a1,f938(a1,a1),f938(a1,a1)),f326(f326(f20(a1,f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),f326(f326(f10(a927,f939(f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),a1),f96(f938(a1,a1))),f326(f234(a1),f2(a1)))),f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x47233)),f77(a1))))),f326(f326(f251(a1,a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x47233)),x47231))),f326(f43(x47232),f326(f326(f251(a1,a1),x47233),x47231)))
% 197.76/197.83 [4746]~E(f29(x47461,x47462),f30(x47463,x47464))
% 197.76/197.83 [3765]E(f116(x37651,f326(x37652,x37653),f326(x37654,x37653)),f326(f203(x37651,x37652,x37654),x37653))
% 197.76/197.83 [3820]E(f326(f326(f244(x38201,x38202,x38203),x38204),f2(a931)),x38202)
% 197.76/197.83 [3860]E(f185(x38601,x38602,x38603,f326(a112,x38604)),f326(x38603,x38604))
% 197.76/197.83 [3902]E(f170(x39021,x39022,f170(x39021,x39023,x39024)),f170(x39021,x39023,f170(x39021,x39022,x39024)))
% 197.76/197.83 [3903]E(f126(x39031,x39032,f116(x39031,x39033,x39034)),f116(x39031,f126(x39031,x39032,x39033),x39034))
% 197.76/197.83 [4038]E(f326(f156(x40381,x40382,x40383,x40384),f113(x40382)),x40383)
% 197.76/197.83 [4039]E(f326(f142(x40391,x40392,x40393,x40394),f113(x40392)),x40394)
% 197.76/197.83 [4076]E(f326(f189(f936(x40761,x40762)),f220(x40761,x40762,x40763,x40764)),f2(a931))
% 197.76/197.83 [4101]E(f326(f256(x41011,x41012,x41013),f254(x41011,x41012,x41013,x41014)),x41014)
% 197.76/197.83 [4145]E(f326(f326(f134(x41451),f169(x41451,x41452,x41453)),f169(x41451,x41454,x41453)),f326(f326(f134(x41451),f169(x41451,x41454,x41453)),f169(x41451,x41452,x41453)))
% 197.76/197.83 [4231]E(f326(f326(f258(x42311,x42312,x42313,f938(x42312,x42313)),x42314),f251(x42312,x42313)),x42314)
% 197.76/197.83 [4241]E(f127(x42411,x42412,x42413,x42414,f119(x42412)),x42413)
% 197.76/197.83 [4247]E(f74(x42471,x42472,x42473,x42474,f326(x42473,x42474)),x42473)
% 197.76/197.83 [4515]P47(x45151,x45152,x45153,x45154,f188(f939(x45151,a927)),x45154)
% 197.76/197.83 [3567]E(f326(f326(f18(x35671,x35672),x35673),x35674),x35673)
% 197.76/197.83 [3850]E(f170(x38501,x38502,f326(f136(x38501,x38503),x38504)),f326(f136(x38501,x38503),f170(x38501,x38502,x38504)))
% 197.76/197.83 [3885]E(f326(f326(f64(x38851,x38852,x38853),x38854),f188(f939(x38851,a927))),x38854)
% 197.76/197.83 [3909]E(f326(f326(f164(x39091),f326(f326(f151(x39091),x39092),x39093)),f326(a112,x39094)),f326(f326(f164(x39091),x39093),x39094))
% 197.76/197.83 [3977]E(f326(f326(x39771,x39772),f326(f184(x39773,x39774,x39771),x39772)),f326(f184(x39773,x39774,x39771),f326(a112,x39772)))
% 197.76/197.83 [4019]E(f254(x40191,x40192,x40193,f326(f256(x40191,x40192,x40193),x40194)),x40194)
% 197.76/197.83 [4074]E(f326(f326(f159(x40741,f326(f326(f151(x40741),x40742),x40743)),f2(a931)),x40744),f326(f326(f151(x40741),x40744),x40743))
% 197.76/197.83 [4086]E(f326(f326(f40(f939(x40861,a927),f939(x40862,a927)),x40863),f309(x40861,x40862,x40864)),f326(f309(x40861,x40862,x40864),f37(f939(x40861,a927),x40863)))
% 197.76/197.83 [4087]E(f326(f326(f40(f939(x40871,a927),f939(x40872,a927)),x40873),f310(x40872,x40871,x40874)),f326(f310(x40872,x40871,x40874),f37(f939(x40871,a927),x40873)))
% 197.76/197.83 [4112]E(f120(x41121,f130(x41122,f933(x41121),x41123,x41124)),f326(f118(x41122,x41121,x41124),x41123))
% 197.76/197.83 [4186]E(f326(f125(x41861,x41862),f126(x41861,x41863,x41864)),f326(f326(f79(a931),f326(f326(f79(a931),f326(x41862,x41863)),f326(f125(x41861,x41862),x41864))),f326(a112,f2(a931))))
% 197.76/197.83 [4207]E(f326(f142(x42071,x42072,f326(f9(x42072,x42071,x42071),x42073),x42074),f326(f168(x42072),f113(x42072))),x42074)
% 197.76/197.83 [4313]E(f223(x43131,f938(x43132,f933(x43132)),x43133,f326(f256(x43132,f933(x43132),x43131),x43134),f326(f135(x43132),f119(x43132))),x43133)
% 197.76/197.83 [4445]E(f326(f256(x44451,x44452,x44453),f326(f326(f10(f939(x44452,f938(x44451,x44452)),f939(x44452,x44453),x44451),f326(f10(f938(x44451,x44452),x44453,x44452),x44454)),f251(x44451,x44452))),x44454)
% 197.76/197.83 [3756]E(f326(f255(x37561,x37562),f326(f326(f251(x37561,x37562),x37563),x37564)),x37564)
% 197.76/197.83 [3757]E(f326(f250(x37571,x37572),f326(f326(f251(x37571,x37572),x37573),x37574)),x37573)
% 197.76/197.83 [3792]E(f326(f189(f932(x37921)),f326(f326(f159(x37921,x37922),x37923),x37924)),f326(f189(f932(x37921)),x37922))
% 197.76/197.83 [3793]E(f326(f189(f932(x37931)),f326(f326(f154(x37932,x37931),x37933),x37934)),f326(f189(f932(x37932)),x37934))
% 197.76/197.83 [3814]E(f326(f326(f138(x38141),f326(a112,x38142)),f326(f326(f151(x38141),x38143),x38144)),f326(f326(f138(x38141),x38142),x38144))
% 197.76/197.83 [3880]E(f326(f326(f175(x38801),x38802),f169(x38801,x38803,x38804)),f169(x38801,f326(f326(f232(a931),x38802),x38803),x38804))
% 197.76/197.83 [3881]E(f326(f326(f138(x38811),x38812),f169(x38811,x38813,x38814)),f169(x38811,f326(f326(f3(a931),x38813),x38812),x38814))
% 197.76/197.83 [3887]E(f326(f326(f308(x38871),x38872),f326(f326(f308(x38871),x38873),x38874)),f326(f326(f308(x38871),x38873),f326(f326(f308(x38871),x38872),x38874)))
% 197.76/197.83 [3891]E(f326(f326(f154(x38911,x38912),x38913),f114(x38911,x38914)),f114(x38912,f326(f326(f154(x38911,x38912),x38913),x38914)))
% 197.76/197.83 [3907]E(f326(f168(x39071),f326(f326(f154(x39072,x39071),x39073),x39074)),f326(f326(f154(x39072,x39071),x39073),f326(f168(x39072),x39074)))
% 197.76/197.83 [3908]E(f326(f326(f154(x39081,x39082),x39083),f326(f171(x39081),x39084)),f326(f171(x39082),f326(f326(f154(x39081,x39082),x39083),x39084)))
% 197.76/197.83 [3923]E(f326(f326(f175(x39231),f326(a112,x39232)),f326(f326(f151(x39231),x39233),x39234)),f326(f326(f151(x39231),x39233),f326(f326(f175(x39231),x39232),x39234)))
% 197.76/197.83 [3927]E(f326(f172(x39271),f326(f326(f154(x39272,x39271),x39273),x39274)),f326(f309(x39272,x39271,x39273),f326(f172(x39272),x39274)))
% 197.76/197.83 [3940]E(f326(f326(f154(x39401,x39402),f326(f18(x39402,x39401),x39403)),x39404),f169(x39402,f326(f189(f932(x39401)),x39404),x39403))
% 197.76/197.83 [3976]E(f19(x39761,x39762,x39763,f326(a5,f326(a112,f326(a22,x39764)))),f326(x39763,x39764))
% 197.76/197.83 [3980]E(f326(f326(f134(x39801),f326(f136(x39801,x39802),x39803)),f326(f136(x39801,x39802),x39804)),f326(f136(x39801,x39802),f326(f326(f134(x39801),x39803),x39804)))
% 197.76/197.83 [3993]E(f152(x39931,f326(f326(f154(x39932,x39931),x39933),f152(x39932,x39934))),f152(x39931,f326(f326(f154(x39932,x39931),x39933),x39934)))
% 197.76/197.83 [4008]E(f326(f285(x40081,x40081),f326(f326(f287(x40082,x40081),x40083),x40084)),f326(f326(f287(x40082,x40081),f326(f285(x40082,x40082),x40083)),x40084))
% 197.76/197.83 [4020]E(f326(f326(f288(x40201,x40202,x40203),x40204),f188(f939(f938(x40202,x40203),a927))),f188(f939(f938(x40201,x40203),a927)))
% 197.76/197.83 [4021]E(f326(f326(f175(x40211),f326(f326(f3(a931),x40212),x40213)),f326(f326(f138(x40211),x40213),x40214)),f326(f326(f138(x40211),x40213),f326(f326(f175(x40211),x40212),x40214)))
% 197.76/197.83 [4040]E(f326(f326(f134(x40401),f169(x40401,x40402,x40403)),f169(x40401,x40404,x40403)),f169(x40401,f326(f326(f79(a931),x40402),x40404),x40403))
% 197.76/197.83 [4041]E(f326(f326(f326(f277(x40411),x40412),x40413),x40414),f326(f251(f939(a99,f939(a927,f935(f933(x40411)))),f938(a99,a99)),f326(f42(x40411),x40412)))
% 197.76/197.83 [4067]E(f37(f939(x40671,a927),f326(f309(x40672,f939(x40671,a927),x40673),x40674)),f326(f326(f40(x40672,f939(x40671,a927)),x40674),x40673))
% 197.76/197.83 [4068]E(f38(f939(x40681,a927),f326(f309(x40682,f939(x40681,a927),x40683),x40684)),f326(f326(f39(x40682,f939(x40681,a927)),x40684),x40683))
% 197.76/197.83 [4069]E(f326(f189(f932(f938(x40691,x40692))),f326(f326(f181(x40691,x40692),x40693),x40694)),f326(f326(f232(a931),f326(f189(f932(x40691)),x40693)),f326(f189(f932(x40692)),x40694)))
% 197.76/197.83 [4071]E(f326(f310(x40711,x40712,x40713),f326(f78(f939(x40712,a927)),x40714)),f326(f78(f939(x40711,a927)),f326(f310(x40711,x40712,x40713),x40714)))
% 197.76/197.83 [4122]E(f326(f310(x41221,x41222,x41223),f326(f261(x41222),x41224)),f326(f261(x41221),f326(f326(f10(x41222,a927,x41221),x41224),x41223)))
% 197.76/197.83 [4140]E(f326(f326(f164(x41401),f326(f326(f134(x41401),x41402),f326(f326(f151(x41401),x41403),x41404))),f326(f189(f932(x41401)),x41402)),x41403)
% 197.76/197.83 [4163]E(f326(f309(x41631,x41632,x41633),f326(f310(x41631,x41632,x41633),x41634)),f326(f326(f101(f939(x41632,a927)),x41634),f326(f309(x41631,x41632,x41633),f241(f939(x41631,a927)))))
% 197.76/197.83 [4182]P1(f326(f326(f328(x41821),f326(x41822,x41823)),f326(f309(x41824,x41821,x41822),f241(f939(x41824,a927)))))
% 197.76/197.83 [4191]E(f21(x41911,x41912,x41913,f326(a5,f326(a112,f326(a22,x41914)))),f326(f326(x41913,x41914),f21(x41911,x41912,x41913,x41914)))
% 197.76/197.83 [4195]E(f326(f326(f134(x41951),f169(x41951,x41952,x41953)),f326(f326(f151(x41951),x41953),x41954)),f326(f326(f151(x41951),x41953),f326(f326(f134(x41951),f169(x41951,x41952,x41953)),x41954)))
% 197.76/197.83 [4197]E(f326(f326(f253(x41971,x41972),f326(f172(x41971),x41973)),f326(f18(f939(x41972,a927),x41971),f326(f172(x41972),x41974))),f326(f172(f938(x41971,x41972)),f59(x41971,x41972,x41973,x41974)))
% 197.76/197.83 [4209]E(f155(x42091,x42092,f326(f326(f151(x42091),x42093),x42094)),f326(f326(f79(a931),f326(f326(f79(a931),f326(x42092,x42093)),f155(x42091,x42092,x42094))),f326(a112,f2(a931))))
% 197.76/197.83 [4222]E(f185(f932(x42221),f326(f326(f151(x42221),x42222),x42223),f326(f326(f9(a931,f932(x42221),f932(x42221)),f138(x42221)),x42223),x42224),f326(f326(f138(x42221),x42224),f326(f326(f151(x42221),x42222),x42223)))
% 197.76/197.83 [4223]P27(x42231,f938(x42232,x42231),f330(x42233,x42234,x42232,x42231),f326(f326(f40(x42232,f939(x42231,a927)),x42234),x42233))
% 197.76/197.83 [4232]E(f326(f326(f3(f939(x42321,a927)),f326(f326(f3(f939(x42321,a927)),x42322),x42323)),f326(f326(f308(x42321),x42324),f188(f939(x42321,a927)))),f326(f326(f3(f939(x42321,a927)),x42322),f326(f326(f308(x42321),x42324),x42323)))
% 197.76/197.83 [4245]E(f326(f326(f183(f939(x42451,x42452),f939(x42451,x42452)),x42453),f72(x42452,x42452,x42451,x42454)),f72(x42452,x42452,x42451,f326(f326(f183(x42452,x42452),x42453),x42454)))
% 197.76/197.83 [4318]E(f326(f326(f326(f183(f932(x43181),f932(x43181)),x43182),f167(x43181)),f326(f326(f326(f183(f932(x43181),f932(x43181)),x43183),f167(x43181)),x43184)),f326(f326(f326(f183(f932(x43181),f932(x43181)),f326(f326(f79(a931),x43182),x43183)),f167(x43181)),x43184))
% 197.76/197.83 [4403]P1(f326(f326(f234(f939(x44031,a927)),f326(f172(x44031),f326(f326(f159(x44031,x44032),x44033),x44034))),f326(f326(f308(x44031),x44034),f326(f172(x44031),x44032))))
% 197.76/197.83 [4435]E(f326(f326(f40(f939(x44351,a927),f939(f938(x44351,x44352),a927)),x44353),f326(f326(f9(f939(x44351,a927),f939(x44351,f939(x44352,a927)),f939(f938(x44351,x44352),a927)),f253(x44351,x44352)),x44354)),f326(f326(f253(x44351,x44352),f37(f939(x44351,a927),x44353)),x44354))
% 197.76/197.83 [4473]E(f209(x44731,x44732,x44733,f326(f72(x44732,f939(a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(x44732))))),x44731,f208(x44732)),x44734)),f210(x44731,x44732,x44734,x44733))
% 197.76/197.83 [4488]E(f205(x44881,x44882,x44883,f326(f72(x44882,f939(a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(f935(x44882)))))),x44881,f204(x44882)),x44884)),f206(x44881,x44882,x44884,x44883))
% 197.76/197.83 [4493]P1(f326(f66(x44931,x44932,x44933,x44934,f188(f939(x44931,a927))),x44934))
% 197.76/197.83 [4532]E(f326(f326(f40(x45321,f939(x45322,a927)),x45323),f326(f326(f9(x45321,f939(x45322,a927),f939(x45322,a927)),f326(f326(f10(x45322,f939(f939(x45322,a927),f939(x45322,a927)),x45321),f308(x45322)),x45324)),f188(f939(x45322,a927)))),f326(f309(x45321,x45322,x45324),x45323))
% 197.76/197.83 [4539]P1(f326(f326(f234(f939(x45391,a927)),f326(f283(x45392,x45391),f326(f326(f101(f939(f938(x45392,x45391),a927)),x45393),x45394))),f326(f326(f101(f939(x45391,a927)),f326(f283(x45392,x45391),x45393)),f326(f283(x45392,x45391),x45394))))
% 197.76/197.83 [4540]P1(f326(f326(f234(f939(x45401,a927)),f326(f263(x45401,x45402),f326(f326(f101(f939(f938(x45401,x45402),a927)),x45403),x45404))),f326(f326(f101(f939(x45401,a927)),f326(f263(x45401,x45402),x45403)),f326(f263(x45401,x45402),x45404))))
% 197.76/197.83 [4600]P1(f326(f326(f234(f939(f938(x46001,x46002),a927)),f326(f309(x46002,f938(x46001,x46002),f330(x46003,x46004,x46001,x46002)),f326(f326(f40(x46001,f939(x46002,a927)),x46004),x46003))),f326(f326(f253(x46001,x46002),x46004),x46003)))
% 197.76/197.83 [4601]E(f326(f118(x46011,f938(x46011,x46012),x46013),f326(f326(f10(f939(x46012,f933(f938(x46011,x46012))),f933(f938(x46011,x46012)),x46011),f118(x46012,f938(x46011,x46012),x46014)),f326(f326(f10(f939(x46012,f938(x46011,x46012)),f939(x46012,f933(f938(x46011,x46012))),x46011),f326(f10(f938(x46011,x46012),f933(f938(x46011,x46012)),x46012),f129(f938(x46011,x46012)))),f251(x46011,x46012)))),f131(x46011,x46012,x46013,x46014))
% 197.76/197.83 [4602]E(f275(x46021,x46022,x46023,f326(f72(x46022,f939(a99,f939(a99,f939(f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x46022)))),f938(a99,a99))))),x46021,f277(x46022)),x46024)),f278(x46021,x46022,x46024,x46023))
% 197.76/197.83 [4642]E(f84(f938(x46421,x46422),f326(f256(x46421,x46422,a927),f326(f326(f9(x46421,f939(x46422,a927),f939(x46422,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x46422,a927),f939(x46422,a927)),x46421),f10(a927,a927,x46422)),f326(f326(f10(a927,f939(a927,a927),x46421),a324),f326(a323,x46423)))),f326(a323,x46424)))),f326(f326(f251(x46421,x46422),x46423),x46424))
% 197.76/197.83 [4643]E(f89(f938(x46431,x46432),f326(f256(x46431,x46432,a927),f326(f326(f9(x46431,f939(x46432,a927),f939(x46432,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x46432,a927),f939(x46432,a927)),x46431),f10(a927,a927,x46432)),f326(f326(f10(a927,f939(a927,a927),x46431),a324),f326(a323,x46433)))),f326(a323,x46434)))),f326(f326(f251(x46431,x46432),x46433),x46434))
% 197.76/197.83 [4714]E(f326(f326(f256(f932(x47141),f932(x47141),f938(f932(x47141),f932(x47141))),f326(f326(f20(f932(x47141),f939(f932(x47141),f938(f932(x47141),f932(x47141))),f939(f932(x47141),f938(f932(x47141),f932(x47141)))),f326(f326(f10(f939(f932(x47141),f939(f938(f932(x47141),f932(x47141)),f938(f932(x47141),f932(x47141)))),f939(f939(f932(x47141),f938(f932(x47141),f932(x47141))),f939(f932(x47141),f938(f932(x47141),f932(x47141)))),f932(x47141)),f20(f932(x47141),f938(f932(x47141),f932(x47141)),f938(f932(x47141),f932(x47141)))),f326(f326(f10(f939(f932(x47141),f938(f932(x47141),f932(x47141))),f939(f932(x47141),f939(f938(f932(x47141),f932(x47141)),f938(f932(x47141),f932(x47141)))),f932(x47141)),f326(f10(f938(f932(x47141),f932(x47141)),f939(f938(f932(x47141),f932(x47141)),f938(f932(x47141),f932(x47141))),f932(x47141)),f326(f96(f938(f932(x47141),f932(x47141))),f326(x47142,x47143)))),f326(f326(f10(f932(x47141),f939(f932(x47141),f938(f932(x47141),f932(x47141))),f932(x47141)),f251(f932(x47141),f932(x47141))),f326(f151(x47141),x47143))))),f326(f326(f9(f932(x47141),f939(f932(x47141),f932(x47141)),f939(f932(x47141),f938(f932(x47141),f932(x47141)))),f326(f326(f10(f939(f932(x47141),f938(f932(x47141),f932(x47141))),f939(f939(f932(x47141),f932(x47141)),f939(f932(x47141),f938(f932(x47141),f932(x47141)))),f932(x47141)),f10(f932(x47141),f938(f932(x47141),f932(x47141)),f932(x47141))),f251(f932(x47141),f932(x47141)))),f326(f151(x47141),x47143)))),f166(x47141,x47142,x47144)),f166(x47141,x47142,f326(f326(f151(x47141),x47143),x47144)))
% 197.76/197.83 [3832]E(f326(f189(f930(x38321)),f326(f326(f326(f90(x38321),x38322),x38323),x38324)),f2(a931))
% 197.76/197.83 [3956]E(f326(f326(f175(x39561),x39562),f326(f326(f175(x39561),x39563),x39564)),f326(f326(f175(x39561),f326(f326(f232(a931),x39562),x39563)),x39564))
% 197.76/197.83 [3957]E(f326(f326(f138(x39571),x39572),f326(f326(f138(x39571),x39573),x39574)),f326(f326(f138(x39571),f326(f326(f79(a931),x39572),x39573)),x39574))
% 197.76/197.83 [3968]E(f326(f326(f134(x39681),f326(f326(f151(x39681),x39682),x39683)),x39684),f326(f326(f151(x39681),x39682),f326(f326(f134(x39681),x39683),x39684)))
% 197.76/197.83 [3969]E(f326(f326(f134(x39691),f326(f326(f134(x39691),x39692),x39693)),x39694),f326(f326(f134(x39691),x39692),f326(f326(f134(x39691),x39693),x39694)))
% 197.76/197.83 [4051]E(f326(f326(f164(x40511),f326(f326(f151(x40511),x40512),x40513)),x40514),f185(x40511,x40512,f326(f164(x40511),x40513),x40514))
% 197.76/197.83 [4060]E(f326(f326(f183(x40601,x40601),x40602),f326(f326(f183(x40601,x40601),x40603),x40604)),f326(f326(f183(x40601,x40601),f326(f326(f80(a931),x40603),x40602)),x40604))
% 197.76/197.83 [4089]E(f326(f326(f110(f939(x40891,a927)),x40892),f326(f326(f308(x40891),x40893),x40894)),f326(f326(f308(x40891),x40893),f326(f326(f110(f939(x40891,a927)),x40892),x40894)))
% 197.76/197.83 [4104]E(f326(f326(f326(f183(x41041,x41041),x41042),x41043),f326(x41043,x41044)),f326(x41043,f326(f326(f326(f183(x41041,x41041),x41042),x41043),x41044)))
% 197.76/197.83 [4113]E(f326(f326(f288(x41131,x41132,x41133),f188(f939(f938(x41131,x41132),a927))),x41134),f188(f939(f938(x41131,x41133),a927)))
% 197.76/197.83 [4128]E(f326(f326(f110(f939(x41281,a927)),f326(f326(f308(x41281),x41282),x41283)),x41284),f326(f326(f308(x41281),x41282),f326(f326(f110(f939(x41281,a927)),x41283),x41284)))
% 197.76/197.83 [4147]E(f326(f35(f938(x41471,x41472)),f326(f326(f253(x41471,x41472),x41473),f326(f18(f939(x41472,a927),x41471),x41474))),f326(f326(f80(a931),f326(f35(x41471),x41473)),f326(f35(x41472),x41474)))
% 197.76/197.83 [4154]E(f326(f326(f101(f939(x41541,a927)),f326(f326(f308(x41541),x41542),x41543)),f326(f326(f308(x41541),x41542),x41544)),f326(f326(f308(x41541),x41542),f326(f326(f101(f939(x41541,a927)),x41543),x41544)))
% 197.76/197.83 [4167]E(f326(f326(f110(f939(x41671,a927)),x41672),f326(f326(f110(f939(x41671,a927)),x41673),x41674)),f326(f326(f110(f939(x41671,a927)),x41673),f326(f326(f110(f939(x41671,a927)),x41672),x41674)))
% 197.76/197.83 [4168]E(f326(f326(f101(f939(x41681,a927)),x41682),f326(f326(f101(f939(x41681,a927)),x41683),x41684)),f326(f326(f101(f939(x41681,a927)),x41683),f326(f326(f101(f939(x41681,a927)),x41682),x41684)))
% 197.76/197.83 [4178]E(f64(x41781,x41782,f326(f326(f10(x41782,f939(x41782,x41782),x41781),x41783),x41784)),f326(f65(x41782,x41781,x41783),x41784))
% 197.76/197.83 [4187]E(f179(x41871,f326(f326(f154(f932(x41872),f932(x41871)),f326(f154(x41872,x41871),x41873)),x41874)),f326(f326(f154(f932(x41872),f932(x41871)),f326(f154(x41872,x41871),x41873)),f179(x41872,x41874)))
% 197.76/197.83 [4206]E(f326(f142(f932(x42061),f932(x42061),f134(x42061),f113(x42061)),f326(f326(f154(x42062,f932(x42061)),x42063),x42064)),f163(x42062,x42061,x42063,x42064))
% 197.76/197.83 [4265]E(f326(f72(x42651,x42651,x42651,f326(f326(f183(x42651,x42651),x42652),x42653)),f326(f326(f183(x42651,x42651),x42654),x42653)),f326(f326(f183(x42651,x42651),f326(f326(f79(a931),x42652),x42654)),x42653))
% 197.76/197.83 [4288]E(f326(f326(f101(f939(x42881,a927)),f326(f326(f110(f939(x42881,a927)),x42882),x42883)),f326(f326(f110(f939(x42881,a927)),x42882),x42884)),f326(f326(f110(f939(x42881,a927)),x42882),f326(f326(f101(f939(x42881,a927)),x42883),x42884)))
% 197.76/197.83 [4289]E(f326(f326(f101(f939(x42891,a927)),f326(f326(f3(f939(x42891,a927)),x42892),x42893)),f326(f326(f3(f939(x42891,a927)),x42892),x42894)),f326(f326(f3(f939(x42891,a927)),x42892),f326(f326(f110(f939(x42891,a927)),x42893),x42894)))
% 197.76/197.83 [4290]E(f326(f326(f110(f939(x42901,a927)),f326(f326(f3(f939(x42901,a927)),x42902),x42903)),f326(f326(f3(f939(x42901,a927)),x42902),x42904)),f326(f326(f3(f939(x42901,a927)),x42902),f326(f326(f101(f939(x42901,a927)),x42903),x42904)))
% 197.76/197.83 [4291]E(f326(f326(f110(f939(x42911,a927)),f326(f326(f101(f939(x42911,a927)),x42912),x42913)),f326(f326(f101(f939(x42911,a927)),x42912),x42914)),f326(f326(f101(f939(x42911,a927)),x42912),f326(f326(f110(f939(x42911,a927)),x42913),x42914)))
% 197.76/197.83 [4292]E(f326(f326(f3(f939(x42921,a927)),f326(f326(f101(f939(x42921,a927)),x42922),x42923)),f326(f326(f101(f939(x42921,a927)),x42922),x42924)),f326(f326(f101(f939(x42921,a927)),x42922),f326(f326(f3(f939(x42921,a927)),x42923),x42924)))
% 197.76/197.83 [4297]E(f326(f35(f938(x42971,x42972)),f326(f326(f253(x42971,x42972),f326(f326(f308(x42971),x42973),f188(f939(x42971,a927)))),f326(f18(f939(x42972,a927),x42971),x42974))),f326(f35(x42972),x42974))
% 197.76/197.83 [4332]E(f326(f326(f40(x43321,f939(x43322,a927)),x43323),f326(f326(f10(f939(x43322,a927),f939(x43322,a927),x43321),f78(f939(x43322,a927))),x43324)),f326(f78(f939(x43322,a927)),f326(f326(f39(x43321,f939(x43322,a927)),x43323),x43324)))
% 197.76/197.83 [4333]E(f326(f326(f39(x43331,f939(x43332,a927)),x43333),f326(f326(f10(f939(x43332,a927),f939(x43332,a927),x43331),f78(f939(x43332,a927))),x43334)),f326(f78(f939(x43332,a927)),f326(f326(f40(x43331,f939(x43332,a927)),x43333),x43334)))
% 197.76/197.83 [4349]E(f326(f326(f288(x43491,x43491,x43491),f326(f326(f183(f938(x43491,x43491),a927),x43492),x43493)),f326(f326(f183(f938(x43491,x43491),a927),x43494),x43493)),f326(f326(f183(f938(x43491,x43491),a927),f326(f326(f79(a931),x43492),x43494)),x43493))
% 197.76/197.83 [4379]E(f326(f326(f39(x43791,f939(f939(x43792,a927),a927)),x43793),f326(f326(f10(f939(x43792,a927),f939(f939(x43792,a927),a927),x43791),f307(x43792)),x43794)),f326(f307(x43792),f326(f326(f39(x43791,f939(x43792,a927)),x43793),x43794)))
% 197.76/197.83 [4408]E(f326(f326(f39(f939(x44081,a927),f939(x44082,a927)),x44083),f326(f326(f9(f939(x44081,a927),f939(x44081,f939(x44082,a927)),f939(x44082,a927)),f39(x44081,f939(x44082,a927))),x44084)),f326(f326(f39(x44081,f939(x44082,a927)),f37(f939(x44081,a927),x44083)),x44084))
% 197.76/197.83 [4409]E(f326(f326(f40(f939(x44091,a927),f939(x44092,a927)),x44093),f326(f326(f9(f939(x44091,a927),f939(x44091,f939(x44092,a927)),f939(x44092,a927)),f40(x44091,f939(x44092,a927))),x44094)),f326(f326(f40(x44091,f939(x44092,a927)),f37(f939(x44091,a927),x44093)),x44094))
% 197.76/197.83 [4414]E(f326(f326(f154(x44141,x44142),x44143),f326(f142(f932(x44141),f932(x44141),f134(x44141),f113(x44141)),x44144)),f326(f142(f932(x44142),f932(x44142),f134(x44142),f113(x44142)),f326(f326(f154(f932(x44141),f932(x44142)),f326(f154(x44141,x44142),x44143)),x44144)))
% 197.76/197.83 [4416]E(f185(f932(x44161),f113(x44161),f326(f326(f10(f932(x44161),f932(x44161),a931),f326(f151(x44161),x44162)),f326(f326(f9(a931,f932(x44161),f932(x44161)),f175(x44161)),x44163)),x44164),f326(f326(f175(x44161),x44164),f326(f326(f151(x44161),x44162),x44163)))
% 197.76/197.83 [4454]P1(f326(f326(f234(f939(x44541,a927)),f326(f309(x44542,x44541,x44543),f326(f310(x44542,x44541,x44543),x44544))),x44544))
% 197.76/197.83 [4456]E(f326(f309(f938(x44561,x44562),f938(x44562,x44561),f326(f256(x44561,x44562,f938(x44562,x44561)),f326(f9(x44562,x44561,f938(x44562,x44561)),f251(x44562,x44561)))),f326(f326(f253(x44561,x44562),x44563),f326(f18(f939(x44562,a927),x44561),x44564))),f326(f326(f253(x44562,x44561),x44564),f326(f18(f939(x44561,a927),x44562),x44563)))
% 197.76/197.83 [4465]E(f326(f326(f40(x44651,f939(x44652,a927)),x44653),f326(f326(f10(f939(x44651,a927),f939(x44652,a927),x44651),f284(x44651,x44652,x44654)),f326(f326(f9(x44651,f939(x44651,a927),f939(x44651,a927)),f308(x44651)),f188(f939(x44651,a927))))),f326(f284(x44651,x44652,x44654),x44653))
% 197.76/197.83 [4466]E(f326(f326(f40(x44661,f939(x44662,a927)),x44663),f326(f326(f10(f939(x44661,a927),f939(x44662,a927),x44661),f310(x44662,x44661,x44664)),f326(f326(f9(x44661,f939(x44661,a927),f939(x44661,a927)),f308(x44661)),f188(f939(x44661,a927))))),f326(f310(x44662,x44661,x44664),x44663))
% 197.76/197.83 [4553]E(f326(f326(f110(f939(x45531,a927)),f326(f326(f110(f939(x45531,a927)),f326(f326(f101(f939(x45531,a927)),x45532),x45533)),f326(f326(f101(f939(x45531,a927)),x45533),x45534))),f326(f326(f101(f939(x45531,a927)),x45534),x45532)),f326(f326(f101(f939(x45531,a927)),f326(f326(f101(f939(x45531,a927)),f326(f326(f110(f939(x45531,a927)),x45532),x45533)),f326(f326(f110(f939(x45531,a927)),x45533),x45534))),f326(f326(f110(f939(x45531,a927)),x45534),x45532)))
% 197.76/197.83 [4616]E(f326(f142(f932(x46161),f932(x46161),f134(x46161),f113(x46161)),f326(f326(f154(x46162,f932(x46161)),f326(f326(f9(x46162,f932(x46161),f932(x46161)),f326(f326(f10(x46161,f939(f932(x46161),f932(x46161)),x46162),f151(x46161)),x46163)),f113(x46161))),x46164)),f326(f326(f154(x46162,x46161),x46163),x46164))
% 197.76/197.83 [4626]E(f326(f326(f85(a1,x46261),f326(f103(a1),f326(f326(f79(a1),x46262),a97))),f326(f326(f20(a1,x46261,x46261),f326(f326(f9(a1,x46261,f939(x46261,x46261)),f326(f326(f10(a927,f939(x46261,f939(x46261,x46261)),a1),f96(x46261)),a193)),x46263)),f326(f326(f10(a931,x46261,a1),x46264),a104))),f185(x46261,x46263,x46264,f326(f103(a931),x46262)))
% 197.76/197.83 [4657]E(f326(f261(x46571),f326(f326(f10(f939(x46572,a927),a927,x46571),f86(x46572)),f326(f326(f10(f939(x46572,a927),f939(x46572,a927),x46571),f326(f20(x46572,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46572),a324),f326(f326(f9(x46572,f939(x46572,a927),a927),f328(x46572)),x46573)))),f326(f9(x46572,x46571,a927),x46574)))),f326(f284(x46572,x46571,f326(f261(f938(x46572,x46571)),f326(f256(x46572,x46571,a927),x46574))),x46573))
% 197.76/197.83 [4813]~P1(f326(f326(f188(f939(x48131,f939(x48132,a927))),x48133),x48134))
% 197.76/197.83 [4116]E(f326(f326(f164(x41161),f326(f326(f134(x41161),x41162),x41163)),f326(f326(f79(a931),f326(f189(f932(x41161)),x41162)),x41164)),f326(f326(f164(x41161),x41163),x41164))
% 197.76/197.83 [4121]E(f326(f326(f138(x41211),x41212),f326(f326(f175(x41211),f326(f326(f79(a931),x41213),x41212)),x41214)),f326(f326(f175(x41211),x41213),f326(f326(f138(x41211),x41212),x41214)))
% 197.76/197.83 [4220]E(f326(f326(f110(f939(x42201,a927)),f326(f283(x42202,x42201),x42203)),f326(f283(x42202,x42201),x42204)),f326(f283(x42202,x42201),f326(f326(f110(f939(f938(x42202,x42201),a927)),x42203),x42204)))
% 197.76/197.83 [4221]E(f326(f326(f110(f939(x42211,a927)),f326(f263(x42211,x42212),x42213)),f326(f263(x42211,x42212),x42214)),f326(f263(x42211,x42212),f326(f326(f110(f939(f938(x42211,x42212),a927)),x42213),x42214)))
% 197.76/197.83 [4226]E(f326(f326(f110(f939(x42261,a927)),f326(f326(f110(f939(x42261,a927)),x42262),x42263)),x42264),f326(f326(f110(f939(x42261,a927)),x42262),f326(f326(f110(f939(x42261,a927)),x42263),x42264)))
% 197.76/197.83 [4227]E(f326(f326(f3(f939(x42271,a927)),f326(f326(f101(f939(x42271,a927)),x42272),x42273)),x42274),f326(f326(f101(f939(x42271,a927)),x42272),f326(f326(f3(f939(x42271,a927)),x42273),x42274)))
% 197.76/197.83 [4228]E(f326(f326(f101(f939(x42281,a927)),f326(f326(f101(f939(x42281,a927)),x42282),x42283)),x42284),f326(f326(f101(f939(x42281,a927)),x42282),f326(f326(f101(f939(x42281,a927)),x42283),x42284)))
% 197.76/197.83 [4267]E(f326(f326(f110(f939(f938(x42671,x42672),a927)),f326(f285(x42672,x42671),x42673)),f326(f285(x42672,x42671),x42674)),f326(f285(x42672,x42671),f326(f326(f110(f939(f938(x42672,x42671),a927)),x42673),x42674)))
% 197.76/197.83 [4268]E(f326(f326(f101(f939(f938(x42681,x42682),a927)),f326(f285(x42682,x42681),x42683)),f326(f285(x42682,x42681),x42684)),f326(f285(x42682,x42681),f326(f326(f101(f939(f938(x42682,x42681),a927)),x42683),x42684)))
% 197.76/197.83 [4281]E(f326(f326(f110(f939(x42811,f939(x42812,a927))),f242(x42812,x42811,x42813)),f242(x42812,x42811,x42814)),f242(x42812,x42811,f326(f326(f110(f939(x42812,f939(x42811,a927))),x42813),x42814)))
% 197.76/197.83 [4282]E(f326(f326(f101(f939(x42821,f939(x42822,a927))),f242(x42822,x42821,x42823)),f242(x42822,x42821,x42824)),f242(x42822,x42821,f326(f326(f101(f939(x42822,f939(x42821,a927))),x42823),x42824)))
% 197.76/197.83 [4336]E(f326(f326(f101(f939(x43361,a927)),f326(f326(f110(f939(x43361,a927)),x43362),x43363)),f326(f326(f110(f939(x43361,a927)),x43364),x43363)),f326(f326(f110(f939(x43361,a927)),f326(f326(f101(f939(x43361,a927)),x43362),x43364)),x43363))
% 197.76/197.83 [4337]E(f326(f326(f110(f939(x43371,a927)),f326(f326(f3(f939(x43371,a927)),x43372),x43373)),f326(f326(f3(f939(x43371,a927)),x43374),x43373)),f326(f326(f3(f939(x43371,a927)),f326(f326(f110(f939(x43371,a927)),x43372),x43374)),x43373))
% 197.76/197.83 [4338]E(f326(f326(f110(f939(x43381,a927)),f326(f326(f101(f939(x43381,a927)),x43382),x43383)),f326(f326(f101(f939(x43381,a927)),x43384),x43383)),f326(f326(f101(f939(x43381,a927)),f326(f326(f110(f939(x43381,a927)),x43382),x43384)),x43383))
% 197.76/197.83 [4339]E(f326(f326(f3(f939(x43391,a927)),f326(f326(f101(f939(x43391,a927)),x43392),x43393)),f326(f326(f101(f939(x43391,a927)),x43394),x43393)),f326(f326(f101(f939(x43391,a927)),f326(f326(f3(f939(x43391,a927)),x43392),x43394)),x43393))
% 197.76/197.83 [4340]E(f326(f326(f3(f939(x43401,a927)),f326(f326(f101(f939(x43401,a927)),x43402),x43403)),f326(f326(f101(f939(x43401,a927)),x43404),x43403)),f326(f326(f3(f939(x43401,a927)),f326(f326(f101(f939(x43401,a927)),x43402),x43403)),x43404))
% 197.76/197.83 [4352]E(f326(f326(f3(f939(x43521,a927)),f326(f326(f3(f939(x43521,a927)),x43522),f326(f326(f308(x43521),x43523),f188(f939(x43521,a927))))),x43524),f326(f326(f3(f939(x43521,a927)),x43522),f326(f326(f308(x43521),x43523),x43524)))
% 197.76/197.83 [4405]E(f326(f326(f110(f939(x44051,a927)),f326(f326(f308(x44051),x44052),f326(f326(f308(x44051),x44053),f188(f939(x44051,a927))))),f326(f280(x44051),x44054)),f326(f280(x44051),f326(f326(f308(f938(x44051,x44051)),f326(f326(f251(x44051,x44051),x44052),x44053)),x44054)))
% 197.76/197.83 [4430]E(f326(f326(f40(a931,f939(x44301,a927)),f326(f300(a931),x44302)),f326(f326(f10(a931,f939(x44301,a927),a931),x44303),f326(f326(f9(a931,a931,a931),f79(a931)),x44304))),f326(f326(f40(a931,f939(x44301,a927)),f302(a931,x44304,f326(f326(f79(a931),x44302),x44304))),x44303))
% 197.76/197.83 [4431]E(f174(x44311,f326(f284(x44311,x44311,x44312),f326(f326(f308(x44311),x44313),f188(f939(x44311,a927)))),f326(f284(f932(x44311),f932(x44311),f158(x44311,x44312)),f326(f326(f308(f932(x44311)),x44314),f188(f939(f932(x44311),a927))))),f326(f284(f932(x44311),f932(x44311),f158(x44311,x44312)),f326(f326(f308(f932(x44311)),f326(f326(f151(x44311),x44313),x44314)),f188(f939(f932(x44311),a927)))))
% 197.76/197.83 [4495]E(f326(f261(x44951),f326(f326(f9(x44951,f939(x44952,a927),a927),f326(f326(f10(x44952,f939(f939(x44952,a927),a927),x44951),f328(x44952)),x44953)),x44954)),f326(f310(x44951,x44952,x44953),x44954))
% 197.76/197.83 [4585]E(f326(f261(x45851),f326(f326(f9(x45851,f939(f938(x45852,x45851),a927),a927),f326(f326(f10(f938(x45852,x45851),f939(f939(f938(x45852,x45851),a927),a927),x45851),f328(f938(x45852,x45851))),f326(f251(x45852,x45851),x45853))),x45854)),f326(f284(x45852,x45851,x45854),f326(f326(f308(x45852),x45853),f188(f939(x45852,a927)))))
% 197.76/197.83 [4599]E(f326(f326(f154(f938(x45991,a931),x45991),f250(x45991,a931)),f326(f136(f938(x45991,a931),f326(f326(f10(a931,a927,f938(x45991,a931)),x45992),f326(f326(f10(a931,a931,f938(x45991,a931)),a112),f255(x45991,a931)))),f326(f326(f181(x45991,a931),x45993),x45994))),f326(f326(f154(f938(x45991,a931),x45991),f250(x45991,a931)),f326(f136(f938(x45991,a931),f326(f326(f10(a931,a927,f938(x45991,a931)),x45992),f255(x45991,a931))),f326(f326(f181(x45991,a931),x45993),f326(f326(f154(a931,a931),a112),x45994)))))
% 197.76/197.83 [4608]P1(f326(f326(f234(f939(f939(x46081,a927),a927)),f326(f326(f40(x46082,f939(f939(x46081,a927),a927)),x46083),f326(f326(f10(f939(x46081,a927),f939(f939(x46081,a927),a927),x46082),f307(x46081)),x46084))),f326(f307(x46081),f326(f326(f40(x46082,f939(x46081,a927)),x46083),x46084))))
% 197.76/197.83 [4649]E(f326(f326(f85(a1,x46491),f326(f103(a1),f326(f326(f79(a1),x46492),a97))),f326(f326(f20(a1,x46491,x46491),f326(f326(f9(a1,x46491,f939(x46491,x46491)),f326(f326(f10(a927,f939(x46491,f939(x46491,x46491)),a1),f96(x46491)),a193)),x46493)),f326(f326(f20(a1,x46491,x46491),f326(f326(f10(a931,f939(x46491,x46491),a1),x46494),a104)),f326(f326(f10(a931,x46491,a1),f184(x46491,x46493,x46494)),a104)))),f326(f184(x46491,x46493,x46494),f326(f103(a931),x46492)))
% 197.76/197.83 [4673]E(f326(f261(f938(x46731,x46732)),f326(f256(x46731,x46732,a927),f326(f326(f9(x46731,f939(x46732,a927),f939(x46732,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x46732,a927),f939(x46732,a927)),x46731),f10(a927,a927,x46732)),f326(f326(f10(a927,f939(a927,a927),x46731),a324),f326(f326(f9(x46731,f939(x46731,a927),a927),f328(x46731)),x46733)))),f326(f326(f9(x46732,f939(x46732,a927),a927),f328(x46732)),x46734)))),f229(x46731,x46732,x46733,x46734))
% 197.76/197.83 [4709]E(f326(f326(f40(x47091,f939(f938(x47091,x47092),a927)),x47093),f326(f326(f20(x47091,f939(x47092,f939(f938(x47091,x47092),a927)),f939(f938(x47091,x47092),a927)),f326(f326(f10(f939(x47092,a927),f939(f939(x47092,f939(f938(x47091,x47092),a927)),f939(f938(x47091,x47092),a927)),x47091),f40(x47092,f939(f938(x47091,x47092),a927))),x47094)),f326(f326(f9(x47091,f939(f938(x47091,x47092),a927),f939(x47092,f939(f938(x47091,x47092),a927))),f326(f326(f10(f939(x47092,f939(f939(f938(x47091,x47092),a927),f939(f938(x47091,x47092),a927))),f939(f939(f938(x47091,x47092),a927),f939(x47092,f939(f938(x47091,x47092),a927))),x47091),f9(x47092,f939(f938(x47091,x47092),a927),f939(f938(x47091,x47092),a927))),f326(f326(f10(f939(x47092,f938(x47091,x47092)),f939(x47092,f939(f939(f938(x47091,x47092),a927),f939(f938(x47091,x47092),a927))),x47091),f326(f10(f938(x47091,x47092),f939(f939(f938(x47091,x47092),a927),f939(f938(x47091,x47092),a927)),x47092),f308(f938(x47091,x47092)))),f251(x47091,x47092)))),f188(f939(f938(x47091,x47092),a927))))),f326(f326(f253(x47091,x47092),x47093),x47094))
% 197.76/197.83 [4276]E(f326(f326(f134(x42761),f326(f326(f175(x42761),x42762),x42763)),f326(f326(f175(x42761),f326(f326(f3(a931),x42762),f326(f189(f932(x42761)),x42763))),x42764)),f326(f326(f175(x42761),x42762),f326(f326(f134(x42761),x42763),x42764)))
% 197.76/197.83 [4277]E(f326(f326(f134(x42771),f326(f326(f138(x42771),x42772),x42773)),f326(f326(f138(x42771),f326(f326(f3(a931),x42772),f326(f189(f932(x42771)),x42773))),x42774)),f326(f326(f138(x42771),x42772),f326(f326(f134(x42771),x42773),x42774)))
% 197.76/197.83 [4326]E(f326(f326(f79(a931),f326(f326(f80(a931),x43261),x43262)),f326(f326(f79(a931),f326(f326(f80(a931),x43263),x43262)),x43264)),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f79(a931),x43261),x43263)),x43262)),x43264))
% 197.76/197.83 [4471]E(f89(x44711,f326(f326(f9(x44711,x44712,a927),f326(f326(f10(x44712,f939(x44712,a927),x44711),a323),x44713)),x44714)),f326(f91(x44711,x44712,f241(f939(x44711,a927)),x44713),x44714))
% 197.76/197.83 [4519]P1(f326(f326(f234(f939(x45191,a927)),f326(f326(f3(f939(x45191,a927)),f326(f283(x45192,x45191),x45193)),f326(f283(x45192,x45191),x45194))),f326(f283(x45192,x45191),f326(f326(f3(f939(f938(x45192,x45191),a927)),x45193),x45194))))
% 197.76/197.83 [4520]P1(f326(f326(f234(f939(x45201,a927)),f326(f326(f3(f939(x45201,a927)),f326(f263(x45201,x45202),x45203)),f326(f263(x45201,x45202),x45204))),f326(f263(x45201,x45202),f326(f326(f3(f939(f938(x45201,x45202),a927)),x45203),x45204))))
% 197.76/197.83 [4628]E(f326(f326(f79(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x46281),x46282)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x46283),x46284)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),f326(f326(f79(a931),x46281),x46283)),f326(f326(f79(a931),x46282),x46284))),f188(f939(f938(a931,a931),a927))))))
% 197.76/197.83 [4668]E(f326(f326(f80(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x46681),x46682)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x46683),x46684)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),f326(f326(f79(a931),f326(f326(f80(a931),x46681),x46683)),f326(f326(f80(a931),x46682),x46684))),f326(f326(f79(a931),f326(f326(f80(a931),x46681),x46684)),f326(f326(f80(a931),x46682),x46683)))),f188(f939(f938(a931,a931),a927))))))
% 197.76/197.83 [4689]E(f326(f261(x46891),f326(f326(f10(f939(x46892,a927),a927,x46891),f87(x46892)),f326(f326(f10(f939(x46892,a927),f939(x46892,a927),x46891),f326(f20(x46892,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46892),a329),f326(f326(f9(x46892,f939(x46892,a927),a927),f328(x46892)),x46893)))),f326(f326(f9(x46891,f939(x46892,f939(x46891,a927)),f939(x46892,a927)),f326(f326(f10(f939(f939(x46891,a927),a927),f939(f939(x46892,f939(x46891,a927)),f939(x46892,a927)),x46891),f10(f939(x46891,a927),a927,x46892)),f328(x46891))),x46894)))),f326(f326(f39(x46892,f939(x46891,a927)),x46893),x46894))
% 197.76/197.83 [4722]E(f326(f326(f288(x47221,x47221,x47221),f326(f326(f308(f938(x47221,x47221)),f326(f326(f251(x47221,x47221),x47222),x47223)),x47224)),f306(x47221,f326(f326(f308(f938(x47221,x47221)),f326(f326(f251(x47221,x47221),x47222),x47223)),x47224))),f326(f326(f110(f939(f938(x47221,x47221),a927)),f326(f326(f288(x47221,x47221,x47221),x47224),f306(x47221,x47224))),f326(f261(f938(x47221,x47221)),f326(f256(x47221,x47221,a927),f326(f326(f9(x47221,f939(x47221,a927),f939(x47221,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x47221,a927),f939(x47221,a927)),x47221),f10(a927,a927,x47221)),f326(f326(f10(a927,f939(a927,a927),x47221),a324),f326(f326(f9(x47221,f939(f938(x47221,x47221),a927),a927),f326(f326(f10(f938(x47221,x47221),f939(f939(f938(x47221,x47221),a927),a927),x47221),f328(f938(x47221,x47221))),f326(f326(f9(x47221,x47221,f938(x47221,x47221)),f251(x47221,x47221)),x47222))),f306(x47221,x47224))))),f326(f326(f9(x47221,f939(f938(x47221,x47221),a927),a927),f326(f326(f10(f938(x47221,x47221),f939(f939(f938(x47221,x47221),a927),a927),x47221),f328(f938(x47221,x47221))),f326(f251(x47221,x47221),x47223))),f306(x47221,x47224)))))))
% 197.76/197.83 [4521]E(f326(f136(x45211,f326(f326(f20(x45211,a927,a927),f326(f326(f10(a927,f939(a927,a927),x45211),a324),x45212)),x45213)),x45214),f326(f136(x45211,x45213),f326(f136(x45211,x45212),x45214)))
% 197.76/197.83 [4622]E(f326(f326(f134(x46221),f326(f326(f326(f96(f932(x46221)),f326(f326(f328(a931),f2(a931)),x46222)),f326(f326(f151(x46221),x46223),f113(x46221))),f113(x46221))),f176(x46221,x46224,f326(f261(a931),f326(f326(f9(a931,f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),a931),f328(a931)),a112)),x46222)))),f176(x46221,f326(f326(f151(x46221),x46223),x46224),x46222))
% 197.76/197.83 [4718]E(f326(f261(f938(x47181,x47182)),f326(f326(f10(f939(a931,a927),a927,f938(x47181,x47182)),f86(a931)),f326(f326(f9(f938(x47181,x47182),f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),f938(x47181,x47182)),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),f938(x47181,x47182)),f326(f10(a927,f939(a927,a927),a931),a324)),f326(f326(f9(f938(x47181,x47182),f939(a931,f938(x47181,x47182)),f939(a931,a927)),f326(f326(f10(f939(f938(x47181,x47182),a927),f939(f939(a931,f938(x47181,x47182)),f939(a931,a927)),f938(x47181,x47182)),f10(f938(x47181,x47182),a927,a931)),a323)),f326(f326(f20(a931,x47182,f938(x47181,x47182)),f326(f326(f10(x47181,f939(x47182,f938(x47181,x47182)),a931),f251(x47181,x47182)),f326(f164(x47181),x47183))),f326(f164(x47182),x47184)))))),f326(f326(f9(a931,a931,a927),f235(a931)),f326(f326(f232(a931),f326(f189(f932(x47181)),x47183)),f326(f189(f932(x47182)),x47184)))))),f326(f172(f938(x47181,x47182)),f326(f326(f181(x47181,x47182),x47183),x47184)))
% 197.76/197.83 [4641]E(f326(f261(f938(x46411,x46412)),f326(f256(x46411,x46412,a927),f326(f326(f9(x46411,f939(x46412,a927),f939(x46412,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x46412,a927),f939(x46412,a927)),x46411),f10(a927,a927,x46412)),f326(f326(f10(a927,f939(a927,a927),x46411),a324),x46413))),x46414))),f326(f326(f253(x46411,x46412),f326(f261(x46411),x46413)),f326(f18(f939(x46412,a927),x46411),f326(f261(x46412),x46414))))
% 197.76/197.83 [4644]E(f326(f261(f938(x46441,x46442)),f326(f256(x46441,x46442,a927),f326(f326(f20(x46441,f939(x46442,a927),f939(x46442,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x46442,a927),f939(x46442,a927)),x46441),f10(a927,a927,x46442)),f326(f326(f10(a927,f939(a927,a927),x46441),a324),x46443))),x46444))),f326(f326(f253(x46441,x46442),f326(f261(x46441),x46443)),f326(f326(f10(f939(x46442,a927),f939(x46442,a927),x46441),f261(x46442)),x46444)))
% 197.76/197.83 [4656]E(f326(f261(x46561),f326(f326(f10(f939(x46562,a927),a927,x46561),f87(x46562)),f326(f326(f10(f939(x46562,a927),f939(x46562,a927),x46561),f326(f20(x46562,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46562),a329),f326(f326(f9(x46562,f939(x46562,a927),a927),f328(x46562)),x46563)))),x46564))),f326(f326(f39(x46562,f939(x46561,a927)),x46563),f326(f326(f10(f939(x46561,a927),f939(x46561,a927),x46562),f261(x46561)),f326(f9(x46561,x46562,a927),x46564))))
% 197.76/197.83 [4701]E(f326(f326(f154(f938(x47011,a931),x47011),f250(x47011,a931)),f326(f136(f938(x47011,a931),f326(f326(f9(f938(x47011,a931),f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),f938(x47011,a931)),f328(a931)),f255(x47011,a931))),x47012)),f326(f326(f181(x47011,a931),x47013),f139(a931,f326(f301(a931,x47014),f326(f326(f79(a931),x47014),f326(f189(f932(x47011)),x47013))))))),f326(f326(f154(f938(x47011,a931),x47011),f250(x47011,a931)),f326(f136(f938(x47011,a931),f326(f326(f9(f938(x47011,a931),f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),f938(x47011,a931)),f328(a931)),f326(f326(f9(f938(x47011,a931),a931,a931),f326(f326(f10(a931,f939(a931,a931),f938(x47011,a931)),f79(a931)),f255(x47011,a931))),x47014))),x47012)),f326(f326(f181(x47011,a931),x47013),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(x47011)),x47013)))))))
% 197.76/197.83 [4702]E(f326(a112,f326(f326(f233(a931),f326(f189(f932(x47021)),x47022)),f326(f142(a931,f932(x47023),f326(f9(f932(x47023),a931,a931),f326(f326(f10(a931,f939(a931,a931),f932(x47023)),f233(a931)),f326(f326(f9(f932(x47023),a931,a931),f326(f326(f10(a931,f939(a931,a931),f932(x47023)),f3(a931)),f189(f932(x47023)))),f326(a112,f2(a931))))),f2(a931)),f326(f168(f932(x47023)),f326(f136(f932(x47023),f326(f326(f10(a927,a927,f932(x47023)),a321),f326(f326(f9(f932(x47023),f932(x47023),a927),a323),f113(x47023)))),x47024))))),f326(f326(f233(a931),f326(a112,f326(f189(f932(x47021)),x47022))),f326(f142(a931,f932(x47023),f326(f9(f932(x47023),a931,a931),f326(f326(f10(a931,f939(a931,a931),f932(x47023)),f233(a931)),f189(f932(x47023)))),f2(a931)),f326(f168(f932(x47023)),x47024))))
% 197.76/197.83 [4655]E(f326(f326(f134(x46551),f176(x46551,x46552,x46553)),f176(x46551,x46554,f326(f261(a931),f326(f326(f9(a931,f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),a931),f328(a931)),f326(f326(f9(a931,a931,a931),f79(a931)),f326(f189(f932(x46551)),x46552)))),x46553)))),f176(x46551,f326(f326(f134(x46551),x46552),x46554),x46553))
% 197.76/197.83 [4703]E(f38(f939(x47031,a927),f326(f261(f939(x47031,a927)),f326(f326(f10(f939(x47032,a927),a927,f939(x47031,a927)),f86(x47032)),f326(f326(f10(f939(x47032,a927),f939(x47032,a927),f939(x47031,a927)),f326(f20(x47032,a927,a927),f326(f326(f10(a927,f939(a927,a927),x47032),a324),f326(f326(f9(x47032,f939(x47032,a927),a927),f328(x47032)),x47033)))),f326(f326(f9(f939(x47031,a927),f939(x47032,f939(x47031,a927)),f939(x47032,a927)),f326(f326(f10(f939(f939(x47031,a927),a927),f939(f939(x47032,f939(x47031,a927)),f939(x47032,a927)),f939(x47031,a927)),f10(f939(x47031,a927),a927,x47032)),a323)),x47034))))),f326(f326(f39(x47032,f939(x47031,a927)),x47033),x47034))
% 197.76/197.83 [4704]E(f37(f939(x47041,a927),f326(f261(f939(x47041,a927)),f326(f326(f10(f939(x47042,a927),a927,f939(x47041,a927)),f86(x47042)),f326(f326(f10(f939(x47042,a927),f939(x47042,a927),f939(x47041,a927)),f326(f20(x47042,a927,a927),f326(f326(f10(a927,f939(a927,a927),x47042),a324),f326(f326(f9(x47042,f939(x47042,a927),a927),f328(x47042)),x47043)))),f326(f326(f9(f939(x47041,a927),f939(x47042,f939(x47041,a927)),f939(x47042,a927)),f326(f326(f10(f939(f939(x47041,a927),a927),f939(f939(x47042,f939(x47041,a927)),f939(x47042,a927)),f939(x47041,a927)),f10(f939(x47041,a927),a927,x47042)),a323)),x47044))))),f326(f326(f40(x47042,f939(x47041,a927)),x47043),x47044))
% 197.76/197.83 [4711]E(f326(f326(f151(f932(x47111)),f326(f326(f151(x47111),x47112),f326(f142(f932(x47111),f932(x47111),f134(x47111),f113(x47111)),f326(f326(f154(f932(x47111),f932(x47111)),f156(f932(x47111),x47111,f113(x47111),f326(f326(f10(f932(x47111),f939(f932(x47111),f932(x47111)),x47111),f18(f932(x47111),f932(x47111))),f326(f326(f9(x47111,f932(x47111),f932(x47111)),f151(x47111)),f113(x47111))))),x47113)))),f179(x47111,f326(f326(f151(f932(x47111)),x47114),f326(f142(f932(f932(x47111)),f932(f932(x47111)),f134(f932(x47111)),f113(f932(x47111))),f326(f326(f154(f932(x47111),f932(f932(x47111))),f156(f932(f932(x47111)),x47111,f113(f932(x47111)),f326(f18(f939(f932(x47111),f932(f932(x47111))),x47111),f326(f326(f9(f932(x47111),f932(f932(x47111)),f932(f932(x47111))),f151(f932(x47111))),f113(f932(x47111)))))),x47113))))),f179(x47111,f326(f326(f151(f932(x47111)),f326(f326(f151(x47111),x47112),x47114)),x47113)))
% 197.76/197.83 [4719]E(f326(f261(f938(x47191,x47191)),f326(f256(x47191,x47191,a927),f326(f326(f9(x47191,f939(f938(x47192,x47192),a927),f939(x47191,a927)),f326(f326(f10(f939(x47191,f939(f939(f938(x47192,x47192),a927),a927)),f939(f939(f938(x47192,x47192),a927),f939(x47191,a927)),x47191),f9(x47191,f939(f938(x47192,x47192),a927),a927)),f326(f326(f10(f939(x47191,f938(x47192,x47192)),f939(x47191,f939(f939(f938(x47192,x47192),a927),a927)),x47191),f326(f10(f938(x47192,x47192),f939(f939(f938(x47192,x47192),a927),a927),x47191),f328(f938(x47192,x47192)))),f326(f326(f9(x47191,f939(x47191,x47192),f939(x47191,f938(x47192,x47192))),f326(f326(f10(f939(x47192,f938(x47192,x47192)),f939(f939(x47191,x47192),f939(x47191,f938(x47192,x47192))),x47191),f10(x47192,f938(x47192,x47192),x47191)),f326(f326(f10(x47192,f939(x47192,f938(x47192,x47192)),x47191),f251(x47192,x47192)),x47193))),x47193)))),x47194))),f326(f326(f287(x47192,x47191),x47194),x47193))
% 197.76/197.83 [4765]~E(f30(x47651,x47652),f27(x47653,x47654,x47655))
% 197.76/197.83 [4766]~E(f30(x47661,x47662),f26(x47663,x47664,x47665))
% 197.76/197.83 [4767]~E(f29(x47671,x47672),f27(x47673,x47674,x47675))
% 197.76/197.83 [4768]~E(f29(x47681,x47682),f26(x47683,x47684,x47685))
% 197.76/197.83 [4769]~E(f27(x47691,x47692,x47693),f30(x47694,x47695))
% 197.76/197.83 [4770]~E(f27(x47701,x47702,x47703),f29(x47704,x47705))
% 197.76/197.83 [4771]~E(f26(x47711,x47712,x47713),f30(x47714,x47715))
% 197.76/197.83 [4772]~E(f26(x47721,x47722,x47723),f29(x47724,x47725))
% 197.76/197.83 [3851]E(f326(f326(f154(x38511,x38512),x38513),f169(x38511,x38514,x38515)),f169(x38512,x38514,f326(x38513,x38515)))
% 197.76/197.83 [4188]E(f130(x41881,x41882,x41883,f126(x41881,x41884,x41885)),f126(x41882,f326(x41883,x41884),f130(x41881,x41882,x41883,x41885)))
% 197.76/197.83 [4420]E(f326(f74(x44201,x44202,x44203,x44204,x44205),x44204),x44205)
% 197.76/197.83 [4472]E(f252(x44721,x44722,x44723,f242(x44722,x44721,x44724),f242(x44723,x44722,x44725)),f242(x44723,x44721,f252(x44723,x44722,x44721,x44725,x44724)))
% 197.76/197.83 [4045]E(f326(f326(f256(x40451,x40452,x40453),x40454),x40455),f326(f326(x40454,f326(f250(x40451,x40452),x40455)),f326(f255(x40451,x40452),x40455)))
% 197.76/197.83 [4081]E(f326(f326(f326(f65(x40811,x40812,x40813),x40814),x40815),f188(f939(x40812,a927))),x40815)
% 197.76/197.83 [4360]E(f326(f72(f932(x43601),f932(x43602),f932(x43603),f326(f154(x43601,x43602),x43604)),f326(f154(x43603,x43601),x43605)),f326(f154(x43603,x43602),f326(f72(x43601,x43602,x43603,x43604),x43605)))
% 197.76/197.83 [4434]E(f84(x44341,f66(x44342,x44341,x44343,x44344,x44345)),f326(f326(f64(x44342,x44341,x44343),x44344),x44345))
% 197.76/197.83 [4468]E(f326(f326(f79(a931),f326(f326(f79(a931),f326(x44681,f326(f250(x44682,x44683),x44684))),f326(x44685,f326(f255(x44682,x44683),x44684)))),f326(a112,f2(a931))),f260(x44682,x44683,x44681,x44685,x44684))
% 197.76/197.83 [3981]E(f326(f326(f175(x39811),x39812),f326(f326(f154(x39813,x39811),x39814),x39815)),f326(f326(f154(x39813,x39811),x39814),f326(f326(f175(x39813),x39812),x39815)))
% 197.76/197.83 [3982]E(f326(f326(f138(x39821),x39822),f326(f326(f154(x39823,x39821),x39824),x39825)),f326(f326(f154(x39823,x39821),x39824),f326(f326(f138(x39823),x39822),x39825)))
% 197.76/197.83 [4014]E(f326(f326(f154(x40141,x40142),x40143),f326(f326(f151(x40141),x40144),x40145)),f326(f326(f151(x40142),f326(x40143,x40144)),f326(f326(f154(x40141,x40142),x40143),x40145)))
% 197.76/197.83 [4075]E(f326(f309(x40751,x40752,x40753),f326(f326(f308(x40751),x40754),x40755)),f326(f326(f308(x40752),f326(x40753,x40754)),f326(f309(x40751,x40752,x40753),x40755)))
% 197.76/197.83 [4105]E(f173(x41051,f326(f326(f151(x41051),x41052),x41053),f326(f326(f151(x41051),x41054),x41055)),f326(f326(f151(x41051),x41052),f326(f326(f151(x41051),x41054),f173(x41051,x41053,x41055))))
% 197.76/197.83 [4142]E(f326(f326(f181(x41421,x41422),f326(f326(f175(x41421),x41423),x41424)),f326(f326(f175(x41422),x41423),x41425)),f326(f326(f175(f938(x41421,x41422)),x41423),f326(f326(f181(x41421,x41422),x41424),x41425)))
% 197.76/197.83 [4143]E(f326(f326(f181(x41431,x41432),f326(f326(f138(x41431),x41433),x41434)),f326(f326(f138(x41432),x41433),x41435)),f326(f326(f138(f938(x41431,x41432)),x41433),f326(f326(f181(x41431,x41432),x41434),x41435)))
% 197.76/197.83 [4153]E(f326(f326(f159(x41531,f326(f326(f151(x41531),x41532),x41533)),f326(a112,x41534)),x41535),f326(f326(f151(x41531),x41532),f326(f326(f159(x41531,x41533),x41534),x41535)))
% 197.76/197.83 [4156]E(f326(f326(f134(x41561),f326(f326(f154(x41562,x41561),x41563),x41564)),f326(f326(f154(x41562,x41561),x41563),x41565)),f326(f326(f154(x41562,x41561),x41563),f326(f326(f134(x41562),x41564),x41565)))
% 197.76/197.83 [4160]E(f326(f326(x41601,x41602),f326(f326(f244(x41603,x41604,x41601),x41602),x41605)),f326(f326(f244(x41603,x41604,x41601),x41602),f326(a112,x41605)))
% 197.76/197.83 [4192]E(f163(x41921,x41922,x41923,f326(f326(f151(x41921),x41924),x41925)),f326(f326(f134(x41922),f326(x41923,x41924)),f163(x41921,x41922,x41923,x41925)))
% 197.76/197.83 [4204]E(f326(f326(f288(x42041,x42042,x42043),f326(f285(x42042,x42041),x42044)),f326(f285(x42043,x42042),x42045)),f326(f285(x42043,x42041),f326(f326(f288(x42043,x42042,x42041),x42045),x42044)))
% 197.76/197.83 [4236]E(f326(f326(f326(f183(f932(x42361),f932(x42361)),x42362),f167(x42361)),f326(f326(f154(x42363,x42361),x42364),x42365)),f326(f326(f154(x42363,x42361),x42364),f326(f326(f326(f183(f932(x42363),f932(x42363)),x42362),f167(x42363)),x42365)))
% 197.76/197.83 [4237]E(f326(f326(f258(x42371,x42372,x42371,x42373),f326(f251(x42372,x42371),x42374)),x42375),f326(x42375,x42374))
% 197.76/197.83 [4262]E(f155(x42621,x42622,f326(f326(f154(x42623,x42621),x42624),x42625)),f155(x42623,f326(f72(x42621,a931,x42623,x42622),x42624),x42625))
% 197.76/197.83 [4325]E(f177(f938(x43251,x43252),f326(f72(x43252,a927,f938(x43251,x43252),x43253),f255(x43251,x43252)),f326(f326(f181(x43251,x43252),x43254),x43255)),f326(f326(f181(x43251,x43252),x43254),f177(x43252,x43253,x43255)))
% 197.76/197.83 [4330]E(f326(f309(x43301,x43302,f326(f326(f10(x43303,x43302,x43301),x43304),x43305)),f241(f939(x43301,a927))),f326(f309(x43303,x43302,x43304),f326(f309(x43301,x43303,x43305),f241(f939(x43301,a927)))))
% 197.76/197.83 [4343]E(f177(f938(x43431,x43432),f326(f72(x43431,a927,f938(x43431,x43432),x43433),f250(x43431,x43432)),f326(f326(f181(x43431,x43432),x43434),x43435)),f326(f326(f181(x43431,x43432),f177(x43431,x43433,x43434)),x43435))
% 197.76/197.83 [4364]E(f326(f326(f110(f939(x43641,a927)),f326(f310(x43641,x43642,x43643),f326(f326(f308(x43642),x43644),f188(f939(x43642,a927))))),f326(f310(x43641,x43642,x43643),x43645)),f326(f310(x43641,x43642,x43643),f326(f326(f308(x43642),x43644),x43645)))
% 197.76/197.83 [4419]E(f326(f326(f134(f938(x44191,x44192)),f326(f326(f154(x44192,f938(x44191,x44192)),f326(f251(x44191,x44192),x44193)),x44194)),f59(x44191,x44192,x44195,x44194)),f59(x44191,x44192,f326(f326(f151(x44191),x44193),x44195),x44194))
% 197.76/197.83 [4421]E(f326(f326(f154(x44211,x44212),x44213),f177(x44211,f326(f72(x44212,a927,x44211,x44214),x44213),x44215)),f177(x44212,x44214,f326(f326(f154(x44211,x44212),x44213),x44215)))
% 197.76/197.83 [4426]E(f326(f142(x44261,x44262,f326(f9(x44262,x44261,x44261),f326(f9(x44261,x44262,x44261),x44263)),x44264),f326(f168(x44262),f326(f168(x44262),x44265))),f326(f142(x44261,x44262,x44263,x44264),x44265))
% 197.76/197.83 [4529]P1(f326(f326(f234(f939(x45291,a927)),f326(f309(x45292,x45291,x45293),f326(f326(f101(f939(x45292,a927)),x45294),x45295))),f326(f326(f101(f939(x45291,a927)),f326(f309(x45292,x45291,x45293),x45294)),f326(f309(x45292,x45291,x45293),x45295))))
% 197.76/197.83 [4530]P1(f326(f326(f234(f939(x45301,a927)),f326(f284(x45302,x45301,x45303),f326(f326(f101(f939(x45302,a927)),x45304),x45305))),f326(f326(f101(f939(x45301,a927)),f326(f284(x45302,x45301,x45303),x45304)),f326(f284(x45302,x45301,x45303),x45305))))
% 197.76/197.83 [4629]E(f326(f255(x46291,x46292),f326(f257(x46293,x46291,x46292,x46292,x46294,f31(x46292)),x46295)),f326(f255(x46293,x46292),x46295))
% 197.76/197.83 [4630]E(f326(f250(x46301,x46302),f326(f257(x46301,x46301,x46303,x46302,f31(x46301),x46304),x46305)),f326(f250(x46301,x46303),x46305))
% 197.76/197.83 [4717]P26(x47171,x47172,f326(f326(f308(f930(x47171)),f326(f326(f326(f90(x47171),f326(f326(f9(x47171,f939(a929,a927),f939(a929,a927)),f326(f326(f10(f939(a929,f939(a927,a927)),f939(f939(a929,a927),f939(a929,a927)),x47171),f20(a929,a927,a927)),f326(f326(f10(f939(a929,a927),f939(a929,f939(a927,a927)),x47171),f326(f10(a927,f939(a927,a927),a929),a324)),x47173))),f326(f326(f10(a927,a927,a929),a321),x47174))),f29(x47174,x47175)),x47173)),f188(f939(f930(x47171),a927))))
% 197.76/197.83 [3821]E(f326(f326(f326(f326(f204(x38211),x38212),x38213),x38214),x38215),f192(x38211,x38212))
% 197.76/197.83 [3822]E(f326(f326(f326(f326(f208(x38221),x38222),x38223),x38224),x38225),f199(x38221,x38222))
% 197.76/197.83 [3867]E(f93(x38671,x38672,f326(f326(f326(f90(x38671),x38673),x38674),x38675)),f2(a931))
% 197.76/197.83 [4193]E(f326(f326(f39(x41931,f939(x41932,a927)),f326(f326(f308(x41931),x41933),x41934)),x41935),f326(f326(f101(f939(x41932,a927)),f326(x41935,x41933)),f326(f326(f39(x41931,f939(x41932,a927)),x41934),x41935)))
% 197.76/197.83 [4194]E(f326(f326(f40(x41941,f939(x41942,a927)),f326(f326(f308(x41941),x41943),x41944)),x41945),f326(f326(f110(f939(x41942,a927)),f326(x41945,x41943)),f326(f326(f40(x41941,f939(x41942,a927)),x41944),x41945)))
% 197.76/197.83 [4244]E(f326(f118(x42441,x42442,f326(x42443,x42444)),f326(f326(f9(x42441,a99,f933(x42442)),x42445),x42444)),f326(f197(x42441,x42442,x42443,x42445),x42444))
% 197.76/197.83 [4256]E(f326(f326(f110(f939(x42561,a927)),f326(f309(x42562,x42561,x42563),x42564)),f326(f309(x42562,x42561,x42563),x42565)),f326(f309(x42562,x42561,x42563),f326(f326(f110(f939(x42562,a927)),x42564),x42565)))
% 197.76/197.83 [4257]E(f326(f326(f110(f939(x42571,a927)),f326(f284(x42572,x42571,x42573),x42574)),f326(f284(x42572,x42571,x42573),x42575)),f326(f284(x42572,x42571,x42573),f326(f326(f110(f939(x42572,a927)),x42574),x42575)))
% 197.76/197.83 [4258]E(f326(f326(f110(f939(x42581,a927)),f326(f310(x42581,x42582,x42583),x42584)),f326(f310(x42581,x42582,x42583),x42585)),f326(f310(x42581,x42582,x42583),f326(f326(f110(f939(x42582,a927)),x42584),x42585)))
% 197.76/197.83 [4259]E(f326(f326(f3(f939(x42591,a927)),f326(f310(x42591,x42592,x42593),x42594)),f326(f310(x42591,x42592,x42593),x42595)),f326(f310(x42591,x42592,x42593),f326(f326(f3(f939(x42592,a927)),x42594),x42595)))
% 197.76/197.83 [4260]E(f326(f326(f101(f939(x42601,a927)),f326(f310(x42601,x42602,x42603),x42604)),f326(f310(x42601,x42602,x42603),x42605)),f326(f310(x42601,x42602,x42603),f326(f326(f101(f939(x42602,a927)),x42604),x42605)))
% 197.76/197.83 [4321]E(f326(f326(f159(x43211,f326(f326(f134(x43211),x43212),f326(f326(f151(x43211),x43213),x43214))),f326(f189(f932(x43211)),x43212)),x43215),f326(f326(f134(x43211),x43212),f326(f326(f151(x43211),x43215),x43214)))
% 197.76/197.83 [4328]E(f326(f326(f39(x43281,f939(x43282,a927)),x43283),f326(f326(f10(f939(x43282,a927),f939(x43282,a927),x43281),f326(f308(x43282),x43284)),x43285)),f326(f326(f308(x43282),x43284),f326(f326(f39(x43281,f939(x43282,a927)),x43283),x43285)))
% 197.76/197.83 [4481]E(f326(f326(f154(x44811,x44812),x44813),f326(f136(x44811,f326(f72(x44812,a927,x44811,x44814),x44813)),x44815)),f326(f136(x44812,x44814),f326(f326(f154(x44811,x44812),x44813),x44815)))
% 197.76/197.83 [4487]E(f326(f189(f932(x44871)),f326(f136(x44871,x44872),f326(f326(f154(x44873,x44871),x44874),x44875))),f326(f189(f932(x44873)),f326(f136(x44873,f326(f72(x44871,a927,x44873,x44872),x44874)),x44875)))
% 197.76/197.83 [4694]E(f326(f156(f932(f938(x46941,x46942)),x46942,f113(f938(x46941,x46942)),f326(f326(f9(x46942,f939(f932(x46942),f932(f938(x46941,x46942))),f939(f932(x46942),f932(f938(x46941,x46942)))),f326(f326(f10(f939(f932(f938(x46941,x46942)),f932(f938(x46941,x46942))),f939(f939(f932(x46942),f932(f938(x46941,x46942))),f939(f932(x46942),f932(f938(x46941,x46942)))),x46942),f10(f932(f938(x46941,x46942)),f932(f938(x46941,x46942)),f932(x46942))),f326(f326(f10(f938(x46941,x46942),f939(f932(f938(x46941,x46942)),f932(f938(x46941,x46942))),x46942),f151(f938(x46941,x46942))),f326(f251(x46941,x46942),x46943)))),f326(f181(x46941,x46942),x46944))),x46945),f326(f326(f181(x46941,x46942),f326(f326(f151(x46941),x46943),x46944)),x46945))
% 197.76/197.83 [4185]E(f326(f326(f159(x41851,f326(f326(f159(x41851,x41852),x41853),x41854)),x41853),x41855),f326(f326(f159(x41851,x41852),x41853),x41855))
% 197.76/197.83 [4238]E(f326(f283(x42381,x42382),f326(f326(f308(f938(x42381,x42382)),f326(f326(f251(x42381,x42382),x42383),x42384)),x42385)),f326(f326(f308(x42382),x42384),f326(f283(x42381,x42382),x42385)))
% 197.76/197.83 [4239]E(f326(f263(x42391,x42392),f326(f326(f308(f938(x42391,x42392)),f326(f326(f251(x42391,x42392),x42393),x42394)),x42395)),f326(f326(f308(x42391),x42393),f326(f263(x42391,x42392),x42395)))
% 197.76/197.83 [4286]E(f122(x42861,x42862,f326(x42863,x42864),f326(f326(f9(x42861,a99,f933(f935(x42862))),x42865),x42864)),f326(f195(x42861,x42862,x42863,x42865),x42864))
% 197.76/197.83 [4314]E(f326(f326(f110(f939(f938(x43141,x43142),a927)),f326(f326(f253(x43141,x43142),x43143),x43144)),f326(f326(f253(x43141,x43142),x43145),x43144)),f326(f326(f253(x43141,x43142),f326(f326(f110(f939(x43141,a927)),x43143),x43145)),x43144))
% 197.76/197.83 [4315]E(f326(f326(f3(f939(f938(x43151,x43152),a927)),f326(f326(f253(x43151,x43152),x43153),x43154)),f326(f326(f253(x43151,x43152),x43155),x43154)),f326(f326(f253(x43151,x43152),f326(f326(f3(f939(x43151,a927)),x43153),x43155)),x43154))
% 197.76/197.83 [4316]E(f326(f326(f101(f939(f938(x43161,x43162),a927)),f326(f326(f253(x43161,x43162),x43163),x43164)),f326(f326(f253(x43161,x43162),x43165),x43164)),f326(f326(f253(x43161,x43162),f326(f326(f101(f939(x43161,a927)),x43163),x43165)),x43164))
% 197.76/197.83 [4375]E(f326(f326(f101(f939(x43751,a927)),f326(f326(f39(x43752,f939(x43751,a927)),x43753),x43754)),f326(f326(f39(x43752,f939(x43751,a927)),x43755),x43754)),f326(f326(f39(x43752,f939(x43751,a927)),f326(f326(f110(f939(x43752,a927)),x43753),x43755)),x43754))
% 197.76/197.83 [4376]E(f326(f326(f110(f939(x43761,a927)),f326(f326(f40(x43762,f939(x43761,a927)),x43763),x43764)),f326(f326(f40(x43762,f939(x43761,a927)),x43765),x43764)),f326(f326(f40(x43762,f939(x43761,a927)),f326(f326(f110(f939(x43762,a927)),x43763),x43765)),x43764))
% 197.76/197.83 [4390]E(f326(f326(f39(x43901,f939(x43902,a927)),x43903),f326(f326(f10(f939(x43902,a927),f939(x43902,a927),x43901),f326(f110(f939(x43902,a927)),x43904)),x43905)),f326(f326(f110(f939(x43902,a927)),x43904),f326(f326(f39(x43901,f939(x43902,a927)),x43903),x43905)))
% 197.76/197.83 [4391]E(f326(f326(f40(x43911,f939(x43912,a927)),x43913),f326(f326(f10(f939(x43912,a927),f939(x43912,a927),x43911),f326(f3(f939(x43912,a927)),x43914)),x43915)),f326(f326(f3(f939(x43912,a927)),x43914),f326(f326(f39(x43911,f939(x43912,a927)),x43913),x43915)))
% 197.76/197.83 [4392]E(f326(f326(f40(x43921,f939(x43922,a927)),x43923),f326(f326(f10(f939(x43922,a927),f939(x43922,a927),x43921),f326(f101(f939(x43922,a927)),x43924)),x43925)),f326(f326(f101(f939(x43922,a927)),x43924),f326(f326(f40(x43921,f939(x43922,a927)),x43923),x43925)))
% 197.76/197.83 [4446]E(f185(f932(x44461),f326(f326(f151(x44461),x44462),x44463),f326(f326(f10(f932(x44461),f932(x44461),a931),f326(f151(x44461),x44464)),f326(f326(f9(a931,x44461,f932(x44461)),f159(x44461,x44463)),x44462)),x44465),f326(f326(f159(x44461,f326(f326(f151(x44461),x44464),x44463)),x44465),x44462))
% 197.76/197.83 [4450]E(f326(f326(f39(x44501,f939(f938(x44502,x44503),a927)),x44504),f326(f326(f10(f939(f938(x44503,x44502),a927),f939(f938(x44502,x44503),a927),x44501),f285(x44503,x44502)),x44505)),f326(f285(x44503,x44502),f326(f326(f39(x44501,f939(f938(x44503,x44502),a927)),x44504),x44505)))
% 197.76/197.83 [4451]E(f326(f326(f40(x44511,f939(f938(x44512,x44513),a927)),x44514),f326(f326(f10(f939(f938(x44513,x44512),a927),f939(f938(x44512,x44513),a927),x44511),f285(x44513,x44512)),x44515)),f326(f285(x44513,x44512),f326(f326(f40(x44511,f939(f938(x44513,x44512),a927)),x44514),x44515)))
% 197.76/197.83 [4552]P1(f326(f326(f234(f939(x45521,a927)),f326(f326(f3(f939(x45521,a927)),f326(f309(x45522,x45521,x45523),x45524)),f326(f309(x45522,x45521,x45523),x45525))),f326(f309(x45522,x45521,x45523),f326(f326(f3(f939(x45522,a927)),x45524),x45525))))
% 197.76/197.83 [4697]E(f326(f156(f932(f938(x46971,x46972)),x46971,f113(f938(x46971,x46972)),f326(f326(f9(x46971,f939(f932(x46971),f932(f938(x46971,x46972))),f939(f932(x46971),f932(f938(x46971,x46972)))),f326(f326(f10(f939(f932(f938(x46971,x46972)),f932(f938(x46971,x46972))),f939(f939(f932(x46971),f932(f938(x46971,x46972))),f939(f932(x46971),f932(f938(x46971,x46972)))),x46971),f10(f932(f938(x46971,x46972)),f932(f938(x46971,x46972)),f932(x46971))),f326(f326(f10(f938(x46971,x46972),f939(f932(f938(x46971,x46972)),f932(f938(x46971,x46972))),x46971),f151(f938(x46971,x46972))),f326(f326(f9(x46971,x46972,f938(x46971,x46972)),f251(x46971,x46972)),x46973)))),f326(f326(f9(f932(x46971),f932(x46972),f932(f938(x46971,x46972))),f181(x46971,x46972)),x46974))),x46975),f326(f326(f181(x46971,x46972),x46975),f326(f326(f151(x46972),x46973),x46974)))
% 197.76/197.83 [4415]E(f326(f326(f110(f939(x44151,a927)),f326(f284(x44152,x44151,x44153),x44154)),f326(f284(x44152,x44151,x44155),x44154)),f326(f284(x44152,x44151,f326(f326(f110(f939(f938(x44152,x44151),a927)),x44153),x44155)),x44154))
% 197.76/197.83 [4452]E(f326(f326(f134(f938(x44521,x44522)),f326(f326(f181(x44521,x44522),x44523),f326(f326(f175(x44522),f326(f189(f932(x44521)),x44523)),x44524))),f326(f326(f181(x44521,x44522),x44525),f326(f326(f138(x44522),f326(f189(f932(x44521)),x44523)),x44524))),f326(f326(f181(x44521,x44522),f326(f326(f134(x44521),x44523),x44525)),x44524))
% 197.76/197.83 [4555]E(f326(f326(f253(x45551,x45552),x45553),f326(f326(f20(x45551,f939(x45552,a927),f939(x45552,a927)),f326(f326(f10(f939(x45552,a927),f939(f939(x45552,a927),f939(x45552,a927)),x45551),f110(f939(x45552,a927))),x45554)),x45555)),f326(f326(f110(f939(f938(x45551,x45552),a927)),f326(f326(f253(x45551,x45552),x45553),x45554)),f326(f326(f253(x45551,x45552),x45553),x45555)))
% 197.76/197.83 [4556]E(f326(f326(f253(x45561,x45562),x45563),f326(f326(f20(x45561,f939(x45562,a927),f939(x45562,a927)),f326(f326(f10(f939(x45562,a927),f939(f939(x45562,a927),f939(x45562,a927)),x45561),f3(f939(x45562,a927))),x45564)),x45565)),f326(f326(f3(f939(f938(x45561,x45562),a927)),f326(f326(f253(x45561,x45562),x45563),x45564)),f326(f326(f253(x45561,x45562),x45563),x45565)))
% 197.76/197.83 [4557]E(f326(f326(f253(x45571,x45572),x45573),f326(f326(f20(x45571,f939(x45572,a927),f939(x45572,a927)),f326(f326(f10(f939(x45572,a927),f939(f939(x45572,a927),f939(x45572,a927)),x45571),f101(f939(x45572,a927))),x45574)),x45575)),f326(f326(f101(f939(f938(x45571,x45572),a927)),f326(f326(f253(x45571,x45572),x45573),x45574)),f326(f326(f253(x45571,x45572),x45573),x45575)))
% 197.76/197.83 [4561]E(f326(f326(f39(x45611,f939(x45612,a927)),x45613),f326(f326(f9(x45611,f939(x45612,a927),f939(x45612,a927)),f326(f326(f10(f939(x45612,a927),f939(f939(x45612,a927),f939(x45612,a927)),x45611),f110(f939(x45612,a927))),x45614)),x45615)),f326(f326(f110(f939(x45612,a927)),f326(f326(f39(x45611,f939(x45612,a927)),x45613),x45614)),x45615))
% 197.76/197.83 [4562]E(f326(f326(f40(x45621,f939(x45622,a927)),x45623),f326(f326(f9(x45621,f939(x45622,a927),f939(x45622,a927)),f326(f326(f10(f939(x45622,a927),f939(f939(x45622,a927),f939(x45622,a927)),x45621),f3(f939(x45622,a927))),x45624)),x45625)),f326(f326(f3(f939(x45622,a927)),f326(f326(f40(x45621,f939(x45622,a927)),x45623),x45624)),x45625))
% 197.76/197.83 [4563]E(f326(f326(f40(x45631,f939(x45632,a927)),x45633),f326(f326(f9(x45631,f939(x45632,a927),f939(x45632,a927)),f326(f326(f10(f939(x45632,a927),f939(f939(x45632,a927),f939(x45632,a927)),x45631),f101(f939(x45632,a927))),x45634)),x45635)),f326(f326(f101(f939(x45632,a927)),f326(f326(f40(x45631,f939(x45632,a927)),x45633),x45634)),x45635))
% 197.76/197.83 [4567]E(f326(f326(f39(x45671,f939(x45672,a927)),x45673),f326(f326(f20(x45671,f939(x45672,a927),f939(x45672,a927)),f326(f326(f10(f939(x45672,a927),f939(f939(x45672,a927),f939(x45672,a927)),x45671),f101(f939(x45672,a927))),x45674)),x45675)),f326(f326(f101(f939(x45672,a927)),f326(f326(f39(x45671,f939(x45672,a927)),x45673),x45674)),f326(f326(f39(x45671,f939(x45672,a927)),x45673),x45675)))
% 197.76/197.83 [4568]E(f326(f326(f40(x45681,f939(x45682,a927)),x45683),f326(f326(f20(x45681,f939(x45682,a927),f939(x45682,a927)),f326(f326(f10(f939(x45682,a927),f939(f939(x45682,a927),f939(x45682,a927)),x45681),f110(f939(x45682,a927))),x45684)),x45685)),f326(f326(f110(f939(x45682,a927)),f326(f326(f40(x45681,f939(x45682,a927)),x45683),x45684)),f326(f326(f40(x45681,f939(x45682,a927)),x45683),x45685)))
% 197.76/197.83 [4581]E(f326(f326(f39(x45811,f939(x45812,a927)),x45813),f326(f326(f20(x45811,f939(x45812,a927),f939(x45812,a927)),f326(f326(f10(f939(x45812,a927),f939(f939(x45812,a927),f939(x45812,a927)),x45811),f101(f939(x45812,a927))),x45814)),x45815)),f326(f326(f101(f939(x45812,a927)),f38(f939(x45812,a927),f326(f309(x45811,f939(x45812,a927),x45814),x45813))),f38(f939(x45812,a927),f326(f309(x45811,f939(x45812,a927),x45815),x45813))))
% 197.76/197.83 [4582]E(f326(f326(f40(x45821,f939(x45822,a927)),x45823),f326(f326(f20(x45821,f939(x45822,a927),f939(x45822,a927)),f326(f326(f10(f939(x45822,a927),f939(f939(x45822,a927),f939(x45822,a927)),x45821),f110(f939(x45822,a927))),x45824)),x45825)),f326(f326(f110(f939(x45822,a927)),f37(f939(x45822,a927),f326(f309(x45821,f939(x45822,a927),x45824),x45823))),f37(f939(x45822,a927),f326(f309(x45821,f939(x45822,a927),x45825),x45823))))
% 197.76/197.83 [4618]E(f326(f326(f138(x46181),f326(f189(f932(x46181)),f177(x46181,x46182,f326(f326(f154(x46183,x46181),x46184),x46185)))),f326(f326(f154(x46183,x46181),x46184),x46185)),f326(f326(f154(x46183,x46181),x46184),f326(f326(f138(x46183),f326(f189(f932(x46183)),f177(x46183,f326(f72(x46181,a927,x46183,x46182),x46184),x46185))),x46185)))
% 197.76/197.83 [4494]E(f326(f326(f134(f938(x44941,x44942)),f326(f326(f181(x44941,x44942),f326(f326(f175(x44941),f326(f189(f932(x44942)),x44943)),x44944)),x44943)),f326(f326(f181(x44941,x44942),f326(f326(f138(x44941),f326(f189(f932(x44942)),x44943)),x44944)),x44945)),f326(f326(f181(x44941,x44942),x44944),f326(f326(f134(x44942),x44943),x44945)))
% 197.76/197.83 [4609]E(f84(x46091,f326(f326(f20(x46091,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46091),a324),f326(f326(f9(x46091,f939(x46091,a927),a927),f328(x46091)),x46092))),f326(f326(f9(x46091,x46093,a927),f326(f326(f10(x46093,f939(x46093,a927),x46091),a323),x46094)),x46095))),f326(f76(x46091,x46093,x46092,x46094),x46095))
% 197.76/197.83 [4610]E(f89(x46101,f326(f326(f20(x46101,a927,a927),f326(f326(f10(a927,f939(a927,a927),x46101),a324),f326(f326(f9(x46101,f939(x46101,a927),a927),f328(x46101)),x46102))),f326(f326(f9(x46101,x46103,a927),f326(f326(f10(x46103,f939(x46103,a927),x46101),a323),x46104)),x46105))),f326(f91(x46101,x46103,x46102,x46104),x46105))
% 197.76/197.83 [4658]E(f326(f326(f85(a1,x46581),f326(f103(a1),f326(f326(f79(a1),x46582),a97))),f326(f326(f20(a1,x46581,x46581),f326(f326(f9(a1,x46581,f939(x46581,x46581)),f326(f326(f10(a927,f939(x46581,f939(x46581,x46581)),a1),f96(x46581)),a193)),f185(x46581,x46583,x46584,x46585))),f326(f326(f10(a931,x46581,a1),x46584),f326(f326(f9(a1,a931,a931),f326(f326(f10(a931,f939(a931,a931),a1),f79(a931)),a104)),x46585)))),f185(x46581,x46583,x46584,f326(f326(f79(a931),f326(f103(a931),x46582)),x46585)))
% 197.76/197.83 [4693]E(f326(f326(f85(a1,x46931),f326(f103(a1),f326(f326(f79(a1),x46932),a97))),f326(f326(f20(a1,x46931,x46931),f326(f326(f9(a1,x46931,f939(x46931,x46931)),f326(f326(f10(a927,f939(x46931,f939(x46931,x46931)),a1),f96(x46931)),a193)),f326(f184(x46931,x46933,x46934),x46935))),f326(f326(f20(a1,x46931,x46931),f326(f326(f10(a931,f939(x46931,x46931),a1),x46934),f326(f326(f9(a1,a931,a931),f326(f326(f10(a931,f939(a931,a931),a1),f79(a931)),a104)),x46935))),f326(f326(f10(a931,x46931,a1),f184(x46931,x46933,x46934)),f326(f326(f9(a1,a931,a931),f326(f326(f10(a931,f939(a931,a931),a1),f79(a931)),a104)),x46935))))),f326(f184(x46931,x46933,x46934),f326(f326(f79(a931),f326(f103(a931),x46932)),x46935)))
% 197.76/197.83 [4727]E(f326(f261(f938(x47271,x47272)),f326(f256(x47271,x47272,a927),f326(f326(f10(f939(x47272,f939(x47273,a927)),f939(x47272,a927),x47271),f326(f10(f939(x47273,a927),a927,x47272),f86(x47273))),f326(f326(f9(x47271,f939(x47272,f939(x47273,a927)),f939(x47272,f939(x47273,a927))),f326(f326(f10(f939(f939(x47273,a927),f939(x47273,a927)),f939(f939(x47272,f939(x47273,a927)),f939(x47272,f939(x47273,a927))),x47271),f10(f939(x47273,a927),f939(x47273,a927),x47272)),f326(f326(f10(f939(x47273,f939(a927,a927)),f939(f939(x47273,a927),f939(x47273,a927)),x47271),f20(x47273,a927,a927)),f326(f326(f10(f939(x47273,a927),f939(x47273,f939(a927,a927)),x47271),f326(f10(a927,f939(a927,a927),x47273),a324)),f326(f326(f9(x47271,f939(f938(x47271,x47273),a927),f939(x47273,a927)),f326(f326(f10(f939(x47273,f939(f939(f938(x47271,x47273),a927),a927)),f939(f939(f938(x47271,x47273),a927),f939(x47273,a927)),x47271),f9(x47273,f939(f938(x47271,x47273),a927),a927)),f326(f326(f10(f939(x47273,f938(x47271,x47273)),f939(x47273,f939(f939(f938(x47271,x47273),a927),a927)),x47271),f326(f10(f938(x47271,x47273),f939(f939(f938(x47271,x47273),a927),a927),x47273),f328(f938(x47271,x47273)))),f251(x47271,x47273)))),x47274))))),f326(f326(f9(x47272,f939(f938(x47273,x47272),a927),f939(x47273,a927)),f326(f326(f10(f939(x47273,f939(f939(f938(x47273,x47272),a927),a927)),f939(f939(f938(x47273,x47272),a927),f939(x47273,a927)),x47272),f9(x47273,f939(f938(x47273,x47272),a927),a927)),f326(f326(f10(f939(x47273,f938(x47273,x47272)),f939(x47273,f939(f939(f938(x47273,x47272),a927),a927)),x47272),f326(f10(f938(x47273,x47272),f939(f939(f938(x47273,x47272),a927),a927),x47273),f328(f938(x47273,x47272)))),f326(f9(x47273,x47272,f938(x47273,x47272)),f251(x47273,x47272))))),x47275))))),f326(f326(f288(x47271,x47273,x47272),x47274),x47275))
% 197.76/197.83 [4791]~E(f26(x47911,x47912,x47913),f27(x47914,x47915,x47916))
% 197.76/197.83 [4344]E(f224(x43441,x43442,x43443,x43444,f220(x43441,x43442,x43445,x43446)),f326(f326(x43444,x43445),x43446))
% 197.76/197.83 [4345]E(f225(x43451,x43452,x43453,x43454,f220(x43451,x43452,x43455,x43456)),f326(f326(x43454,x43455),x43456))
% 197.76/197.83 [4470]E(f127(x44701,x44702,x44703,x44704,f126(x44702,x44705,x44706)),f326(f326(f326(x44704,x44705),x44706),f127(x44701,x44702,x44703,x44704,x44706)))
% 197.76/197.83 [4489]E(f74(x44891,x44892,f74(x44891,x44892,x44893,x44894,x44895),x44894,x44896),f74(x44891,x44892,x44893,x44894,x44896))
% 197.76/197.83 [4597]E(f326(f72(f938(x45971,x45972),x45972,f938(x45973,x45974),f255(x45971,x45972)),f257(x45973,x45971,x45974,x45972,x45975,x45976)),f326(f72(x45974,x45972,f938(x45973,x45974),x45976),f255(x45973,x45974)))
% 197.76/197.83 [4598]E(f326(f72(f938(x45981,x45982),x45981,f938(x45983,x45984),f250(x45981,x45982)),f257(x45983,x45981,x45984,x45982,x45985,x45986)),f326(f72(x45983,x45981,f938(x45983,x45984),x45985),f250(x45983,x45984)))
% 197.76/197.83 [4214]E(f326(f326(f72(x42141,x42142,x42143,x42144),x42145),x42146),f326(x42144,f326(x42145,x42146)))
% 197.76/197.83 [4354]E(f223(x43541,f938(x43542,f933(x43542)),x43543,f326(f256(x43542,f933(x43542),x43541),x43544),f326(f135(x43542),f126(x43542,x43545,x43546))),f326(f326(x43544,x43545),x43546))
% 197.76/197.83 [4404]E(f226(x44041,x44042,x44043,x44044,f220(x44041,x44042,x44045,x44046)),f326(f326(f79(a931),f326(f326(f79(a931),f326(x44043,x44045)),f326(x44044,x44046))),f326(a112,f2(a931))))
% 197.76/197.83 [4012]E(f326(f326(f256(x40121,x40122,x40123),x40124),f326(f326(f251(x40121,x40122),x40125),x40126)),f326(f326(x40124,x40125),x40126))
% 197.76/197.83 [4072]E(f326(f326(f326(f10(x40721,x40722,x40723),x40724),x40725),x40726),f326(x40724,f326(x40725,x40726)))
% 197.76/197.83 [4073]E(f326(f326(f326(f9(x40731,x40732,x40733),x40734),x40735),x40736),f326(f326(x40734,x40736),x40735))
% 197.76/197.83 [4091]E(f326(f326(f326(f20(x40911,x40912,x40913),x40914),x40915),x40916),f326(f326(x40914,x40916),f326(x40915,x40916)))
% 197.76/197.83 [4114]E(f326(f156(x41141,x41142,x41143,x41144),f326(f326(f151(x41142),x41145),x41146)),f326(f326(x41144,x41145),x41146))
% 197.76/197.83 [4152]E(f169(f938(x41521,x41522),f326(f326(f232(a931),x41523),x41524),f326(f326(f251(x41521,x41522),x41525),x41526)),f326(f326(f181(x41521,x41522),f169(x41521,x41523,x41525)),f169(x41522,x41524,x41526)))
% 197.76/197.83 [4218]E(f326(f326(f151(f938(x42181,x42182)),f326(f326(f251(x42181,x42182),x42183),x42184)),f326(f326(f181(x42181,x42182),x42185),x42186)),f326(f326(f181(x42181,x42182),f326(f326(f151(x42181),x42183),x42185)),f326(f326(f151(x42182),x42184),x42186)))
% 197.76/197.83 [4219]E(f326(f326(f154(x42191,x42192),x42193),f326(f326(f159(x42191,x42194),x42195),x42196)),f326(f326(f159(x42192,f326(f326(f154(x42191,x42192),x42193),x42194)),x42195),f326(x42193,x42196)))
% 197.76/197.83 [4243]E(f326(f326(f254(x42431,x42432,x42433,x42434),x42435),x42436),f326(x42434,f326(f326(f251(x42431,x42432),x42435),x42436)))
% 197.76/197.83 [4261]E(f326(f142(x42611,x42612,x42613,x42614),f326(f326(f151(x42612),x42615),x42616)),f326(f142(x42611,x42612,x42613,f326(f326(x42613,x42614),x42615)),x42616))
% 197.76/197.83 [4287]E(f259(x42871,x42872,x42873,x42874,f326(f326(f251(x42871,x42872),x42875),x42876)),f326(f326(x42874,x42875),x42876))
% 197.76/197.83 [4368]E(f326(f326(f40(x43681,f939(x43682,a927)),x43683),f326(f72(x43684,f939(x43682,a927),x43681,x43685),x43686)),f326(f326(f40(x43684,f939(x43682,a927)),f326(f309(x43681,x43684,x43686),x43683)),x43685))
% 197.76/197.83 [4418]E(f326(f326(f154(x44181,x44182),x44183),f326(f326(f154(x44184,x44181),x44185),x44186)),f326(f326(f154(x44184,x44182),f326(f72(x44181,x44182,x44184,x44183),x44185)),x44186))
% 197.76/197.83 [4424]E(f326(f309(x44241,x44242,f326(f72(x44243,x44242,x44241,x44244),x44245)),x44246),f326(f309(x44243,x44242,x44244),f326(f309(x44241,x44243,x44245),x44246)))
% 197.76/197.83 [4425]E(f326(f310(x44251,x44252,f326(f72(x44253,x44252,x44251,x44254),x44255)),x44256),f326(f310(x44251,x44253,x44255),f326(f310(x44253,x44252,x44254),x44256)))
% 197.76/197.83 [4453]E(f326(f142(x44531,x44532,x44533,f326(f142(x44531,x44532,x44533,x44534),x44535)),x44536),f326(f142(x44531,x44532,x44533,x44534),f326(f326(f134(x44532),x44535),x44536)))
% 197.76/197.83 [4587]E(f326(f257(x45871,x45871,x45872,x45873,f31(x45871),x45874),f326(f326(f251(x45871,x45872),x45875),x45876)),f326(f326(f251(x45871,x45873),x45875),f326(x45874,x45876)))
% 197.76/197.83 [4588]E(f326(f257(x45881,x45882,x45883,x45883,x45884,f31(x45883)),f326(f326(f251(x45881,x45883),x45885),x45886)),f326(f326(f251(x45882,x45883),f326(x45884,x45885)),x45886))
% 197.76/197.83 [4676]E(f326(f326(f154(f938(x46761,x46762),f938(x46761,x46763)),f326(f256(x46761,x46762,f938(x46761,x46763)),f326(f326(f9(x46761,f939(x46762,x46763),f939(x46762,f938(x46761,x46763))),f326(f326(f10(f939(x46763,f938(x46761,x46763)),f939(f939(x46762,x46763),f939(x46762,f938(x46761,x46763))),x46761),f10(x46763,f938(x46761,x46763),x46762)),f251(x46761,x46763))),x46764))),f326(f326(f181(x46761,x46762),x46765),x46766)),f326(f326(f181(x46761,x46763),x46765),f326(f326(f154(x46762,x46763),x46764),x46766)))
% 197.76/197.83 [4077]E(f94(x40771,x40772,x40773,f326(f326(f326(f90(x40771),x40774),x40775),x40776)),f326(f326(f326(x40773,x40774),x40775),x40776))
% 197.76/197.83 [4078]E(f95(x40781,x40782,x40783,f326(f326(f326(f90(x40781),x40784),x40785),x40786)),f326(f326(f326(x40783,x40784),x40785),x40786))
% 197.76/197.83 [4271]E(f326(f326(f72(x42711,x42712,x42713,f326(f18(x42712,x42711),x42714)),x42715),x42716),x42714)
% 197.76/197.83 [4303]E(f326(f309(x43031,x43032,x43033),f326(f309(x43034,x43031,x43035),x43036)),f326(f309(x43034,x43032,f326(f326(f10(x43031,x43032,x43034),x43033),x43035)),x43036))
% 197.76/197.83 [4309]E(f326(f326(f39(x43091,f939(x43092,a927)),f326(f309(x43093,x43091,x43094),x43095)),x43096),f326(f326(f39(x43093,f939(x43092,a927)),x43095),f326(f326(f10(x43091,f939(x43092,a927),x43093),x43096),x43094)))
% 197.76/197.83 [4310]E(f326(f326(f40(x43101,f939(x43102,a927)),f326(f309(x43103,x43101,x43104),x43105)),x43106),f326(f326(f40(x43103,f939(x43102,a927)),x43105),f326(f326(f10(x43101,f939(x43102,a927),x43103),x43106),x43104)))
% 197.76/197.83 [4311]E(f326(f326(f39(x43111,f939(x43112,a927)),x43113),f326(f326(f10(x43114,f939(x43112,a927),x43111),x43115),x43116)),f326(f326(f39(x43114,f939(x43112,a927)),f326(f309(x43111,x43114,x43116),x43113)),x43115))
% 197.76/197.83 [4312]E(f326(f326(f40(x43121,f939(x43122,a927)),x43123),f326(f326(f10(x43124,f939(x43122,a927),x43121),x43125),x43126)),f326(f326(f40(x43124,f939(x43122,a927)),f326(f309(x43121,x43124,x43126),x43123)),x43125))
% 197.76/197.83 [4370]E(f326(f326(f40(x43701,f939(x43702,a927)),x43703),f326(f326(f10(f939(x43704,a927),f939(x43702,a927),x43701),f309(x43704,x43702,x43705)),x43706)),f326(f309(x43704,x43702,x43705),f326(f326(f40(x43701,f939(x43704,a927)),x43703),x43706)))
% 197.76/197.83 [4371]E(f326(f326(f40(x43711,f939(x43712,a927)),x43713),f326(f326(f10(f939(x43714,a927),f939(x43712,a927),x43711),f284(x43714,x43712,x43715)),x43716)),f326(f284(x43714,x43712,x43715),f326(f326(f40(x43711,f939(x43714,a927)),x43713),x43716)))
% 197.76/197.83 [4372]E(f326(f326(f39(x43721,f939(x43722,a927)),x43723),f326(f326(f10(f939(x43724,a927),f939(x43722,a927),x43721),f310(x43722,x43724,x43725)),x43726)),f326(f310(x43722,x43724,x43725),f326(f326(f39(x43721,f939(x43724,a927)),x43723),x43726)))
% 197.76/197.83 [4373]E(f326(f326(f40(x43731,f939(x43732,a927)),x43733),f326(f326(f10(f939(x43734,a927),f939(x43732,a927),x43731),f310(x43732,x43734,x43735)),x43736)),f326(f310(x43732,x43734,x43735),f326(f326(f40(x43731,f939(x43734,a927)),x43733),x43736)))
% 197.76/197.83 [4458]E(f326(f142(x44581,x44582,f326(f9(x44582,x44581,x44581),x44583),x44584),f326(f168(x44582),f326(f326(f151(x44582),x44585),x44586))),f326(f326(x44583,x44585),f326(f142(x44581,x44582,f326(f9(x44582,x44581,x44581),x44583),x44584),f326(f168(x44582),x44586))))
% 197.76/197.83 [4516]E(f326(f326(f20(f938(x45161,x45162),x45162,x45163),f326(f326(f10(x45164,f939(x45162,x45163),f938(x45161,x45162)),x45165),f326(f326(f10(x45161,x45164,f938(x45161,x45162)),x45166),f250(x45161,x45162)))),f255(x45161,x45162)),f326(f256(x45161,x45162,x45163),f326(f326(f10(x45164,f939(x45162,x45163),x45161),x45165),x45166)))
% 197.76/197.83 [4523]E(f326(f142(x45231,x45232,f326(f9(x45232,x45231,x45231),x45233),f326(f142(x45231,x45232,f326(f9(x45232,x45231,x45231),x45233),x45234),f326(f168(x45232),x45235))),f326(f168(x45232),x45236)),f326(f142(x45231,x45232,f326(f9(x45232,x45231,x45231),x45233),x45234),f326(f168(x45232),f326(f326(f134(x45232),x45236),x45235))))
% 197.76/197.83 [4525]E(f326(f326(f154(f938(x45251,x45252),f938(x45253,x45252)),f326(f256(x45251,x45252,f938(x45253,x45252)),f326(f326(f10(x45253,f939(x45252,f938(x45253,x45252)),x45251),f251(x45253,x45252)),x45254))),f326(f326(f181(x45251,x45252),x45255),x45256)),f326(f326(f181(x45253,x45252),f326(f326(f154(x45251,x45253),x45254),x45255)),x45256))
% 197.76/197.83 [4570]P1(f326(f326(f234(f939(x45701,a927)),f326(f284(x45702,x45701,x45703),f326(f326(f39(x45704,f939(x45702,a927)),x45705),x45706))),f326(f326(f39(x45704,f939(x45701,a927)),x45705),f326(f326(f10(f939(x45702,a927),f939(x45701,a927),x45704),f284(x45702,x45701,x45703)),x45706))))
% 197.76/197.83 [4383]E(f326(f326(f181(x43831,x43832),f326(f326(f159(x43831,x43833),x43834),f326(f250(x43831,x43832),x43835))),f326(f326(f159(x43832,x43836),x43834),f326(f255(x43831,x43832),x43835))),f326(f326(f159(f938(x43831,x43832),f326(f326(f181(x43831,x43832),x43833),x43836)),x43834),x43835))
% 197.76/197.83 [4441]E(f326(f326(f110(f939(f938(x44411,x44412),a927)),f326(f326(f288(x44411,x44413,x44412),x44414),x44415)),f326(f326(f288(x44411,x44413,x44412),x44414),x44416)),f326(f326(f288(x44411,x44413,x44412),x44414),f326(f326(f110(f939(f938(x44413,x44412),a927)),x44415),x44416)))
% 197.76/197.83 [4535]E(f326(f326(f308(f938(x45351,x45352)),f326(f326(f251(x45351,x45352),x45353),x45354)),f326(f326(f110(f939(f938(x45351,x45352),a927)),f326(f326(f253(x45351,x45352),x45355),f326(f18(f939(x45352,a927),x45351),f326(f326(f308(x45352),x45354),x45356)))),f326(f326(f253(x45351,x45352),f326(f326(f308(x45351),x45353),x45355)),f326(f18(f939(x45352,a927),x45351),x45356)))),f326(f326(f253(x45351,x45352),f326(f326(f308(x45351),x45353),x45355)),f326(f18(f939(x45352,a927),x45351),f326(f326(f308(x45352),x45354),x45356))))
% 197.76/197.83 [4614]E(f326(f326(f101(f939(x46141,a927)),f326(f310(x46141,x46142,f326(f72(f938(x46142,x46143),x46142,x46141,f250(x46142,x46143)),x46144)),x46145)),f326(f310(x46141,x46143,f326(f72(f938(x46142,x46143),x46143,x46141,f255(x46142,x46143)),x46144)),x46146)),f326(f310(x46141,f938(x46142,x46143),x46144),f326(f326(f253(x46142,x46143),x46145),f326(f18(f939(x46143,a927),x46142),x46146))))
% 197.76/197.83 [4464]E(f326(f326(f110(f939(f938(x44641,x44642),a927)),f326(f326(f288(x44641,x44643,x44642),x44644),x44645)),f326(f326(f288(x44641,x44643,x44642),x44646),x44645)),f326(f326(f288(x44641,x44643,x44642),f326(f326(f110(f939(f938(x44641,x44643),a927)),x44644),x44646)),x44645))
% 197.76/197.83 [4595]E(f326(f326(f39(x45951,f939(x45952,a927)),x45953),f326(f326(f9(x45951,f939(x45954,f939(x45952,a927)),f939(x45952,a927)),f326(f326(f10(f939(x45954,a927),f939(f939(x45954,f939(x45952,a927)),f939(x45952,a927)),x45951),f39(x45954,f939(x45952,a927))),x45955)),x45956)),f326(f326(f39(x45954,f939(x45952,a927)),f326(f326(f40(x45951,f939(x45954,a927)),x45953),x45955)),x45956))
% 197.76/197.83 [4596]E(f326(f326(f40(x45961,f939(x45962,a927)),x45963),f326(f326(f9(x45961,f939(x45964,f939(x45962,a927)),f939(x45962,a927)),f326(f326(f10(f939(x45964,a927),f939(f939(x45964,f939(x45962,a927)),f939(x45962,a927)),x45961),f40(x45964,f939(x45962,a927))),x45965)),x45966)),f326(f326(f40(x45964,f939(x45962,a927)),f326(f326(f40(x45961,f939(x45964,a927)),x45963),x45965)),x45966))
% 197.76/197.83 [4648]E(f326(f256(x46481,x46482,f938(x46483,x46484)),f326(f326(f9(x46481,f939(x46482,x46484),f939(x46482,f938(x46483,x46484))),f326(f326(f10(f939(x46484,f938(x46483,x46484)),f939(f939(x46482,x46484),f939(x46482,f938(x46483,x46484))),x46481),f10(x46484,f938(x46483,x46484),x46482)),f326(f326(f10(x46483,f939(x46484,f938(x46483,x46484)),x46481),f251(x46483,x46484)),x46485))),x46486)),f257(x46481,x46483,x46482,x46484,x46485,x46486))
% 197.76/197.83 [4671]E(f326(f309(x46711,x46712,f326(f326(f20(x46711,x46712,x46712),f326(f326(f20(x46711,x46712,f939(x46712,x46712)),f326(f326(f10(a927,f939(x46712,f939(x46712,x46712)),x46711),f96(x46712)),x46713)),x46714)),x46715)),x46716),f326(f326(f110(f939(x46712,a927)),f326(f309(x46711,x46712,x46714),f326(f326(f101(f939(x46711,a927)),x46716),f326(f261(x46711),x46713)))),f326(f309(x46711,x46712,x46715),f326(f326(f101(f939(x46711,a927)),x46716),f326(f261(x46711),f326(f326(f10(a927,a927,x46711),a321),x46713))))))
% 197.76/197.83 [4683]E(f326(f309(x46831,f938(x46832,x46833),f326(f326(f20(x46831,x46833,f938(x46832,x46833)),f326(f326(f10(x46832,f939(x46833,f938(x46832,x46833)),x46831),f251(x46832,x46833)),x46834)),x46835)),x46836),f326(f326(f253(x46832,x46833),f326(f309(x46831,x46832,x46834),x46836)),f326(f326(f10(f939(x46831,a927),f939(x46833,a927),x46832),f309(x46831,x46833,x46835)),f326(f326(f9(x46832,f939(x46831,a927),f939(x46831,a927)),f326(f326(f10(f939(x46831,a927),f939(f939(x46831,a927),f939(x46831,a927)),x46832),f101(f939(x46831,a927))),f326(f326(f10(f939(x46832,a927),f939(x46831,a927),x46832),f310(x46831,x46832,x46834)),f326(f326(f9(x46832,f939(x46832,a927),f939(x46832,a927)),f308(x46832)),f188(f939(x46832,a927)))))),x46836))))
% 197.76/197.83 [4708]E(f245(x47081,x47082,x47083,x47084,x47085,x47086),f326(x47084,f326(f261(x47081),f326(f326(f10(f939(f939(x47083,x47081),a927),a927,x47081),f86(f939(x47083,x47081))),f326(f326(f10(f939(f939(x47083,x47081),a927),f939(f939(x47083,x47081),a927),x47081),f326(f20(f939(x47083,x47081),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x47083,x47081)),a324),f326(f326(f9(f939(x47083,x47081),f939(f939(x47083,x47081),a927),a927),f328(f939(x47083,x47081))),x47085)))),f326(f326(f9(x47081,f939(f939(x47083,x47081),x47081),f939(f939(x47083,x47081),a927)),f326(f326(f10(f939(x47081,a927),f939(f939(f939(x47083,x47081),x47081),f939(f939(x47083,x47081),a927)),x47081),f10(x47081,a927,f939(x47083,x47081))),a323)),f326(f326(f9(f939(x47083,x47081),x47083,x47081),f7(f939(x47083,x47081))),x47086)))))))
% 197.76/197.83 [4497]E(f326(f72(x44971,x44972,x44973,x44974),f74(x44973,x44971,x44975,x44976,x44977)),f74(x44973,x44972,f326(f72(x44971,x44972,x44973,x44974),x44975),x44976,f326(x44974,x44977)))
% 197.76/197.83 [4631]E(f326(f255(x46311,x46312),f326(f257(x46313,x46311,x46314,x46312,x46315,x46316),x46317)),f326(x46316,f326(f255(x46313,x46314),x46317)))
% 197.76/197.83 [4632]E(f326(f250(x46321,x46322),f326(f257(x46323,x46321,x46324,x46322,x46325,x46326),x46327)),f326(x46325,f326(f250(x46323,x46324),x46327)))
% 197.76/197.83 [4346]E(f326(f326(f181(x43461,x43462),f326(f326(f159(x43461,x43463),x43464),x43465)),f326(f326(f159(x43462,x43466),x43464),x43467)),f326(f326(f159(f938(x43461,x43462),f326(f326(f181(x43461,x43462),x43463),x43466)),x43464),f326(f326(f251(x43461,x43462),x43465),x43467)))
% 197.76/197.83 [4413]E(f326(f326(f326(f258(x44131,x44132,x44133,x44134),x44135),x44136),x44137),f326(f326(f256(x44132,x44133,x44134),x44136),f326(x44135,x44137)))
% 197.76/197.83 [4423]E(f326(f326(f326(f258(x44231,x44232,x44233,x44234),x44235),x44236),x44237),f326(f326(x44236,f326(f250(x44232,x44233),f326(x44235,x44237))),f326(f255(x44232,x44233),f326(x44235,x44237))))
% 197.76/197.83 [4475]E(f326(f72(x44751,x44752,x44753,x44754),f326(f72(x44755,x44751,x44753,x44756),x44757)),f326(f72(x44755,x44752,x44753,f326(f72(x44751,x44752,x44755,x44754),x44756)),x44757))
% 197.76/197.83 [4652]E(f326(f257(x46521,x46522,x46523,x46523,x46524,f31(x46523)),f326(f257(x46521,x46521,x46525,x46523,f31(x46521),x46526),x46527)),f326(f326(f251(x46522,x46523),f326(x46524,f326(f250(x46521,x46525),x46527))),f326(x46526,f326(f255(x46521,x46525),x46527))))
% 197.76/197.83 [4653]E(f326(f257(x46531,x46531,x46532,x46533,f31(x46531),x46534),f326(f257(x46535,x46531,x46532,x46532,x46536,f31(x46532)),x46537)),f326(f326(f251(x46531,x46533),f326(x46536,f326(f250(x46535,x46532),x46537))),f326(x46534,f326(f255(x46535,x46532),x46537))))
% 197.76/197.83 [4669]E(f326(f257(x46691,x46692,x46693,x46693,x46694,f31(x46693)),f326(f257(x46695,x46691,x46693,x46693,x46696,f31(x46693)),x46697)),f326(f257(x46695,x46692,x46693,x46693,f326(f72(x46691,x46692,x46695,x46694),x46696),f31(x46693)),x46697))
% 197.76/197.83 [4670]E(f326(f257(x46701,x46701,x46702,x46703,f31(x46701),x46704),f326(f257(x46701,x46701,x46705,x46702,f31(x46701),x46706),x46707)),f326(f257(x46701,x46701,x46705,x46703,f31(x46701),f326(f72(x46702,x46703,x46705,x46704),x46706)),x46707))
% 197.76/197.83 [4680]E(f326(f257(x46801,x46802,x46803,x46803,x46804,f31(x46803)),f326(f257(x46801,x46801,x46805,x46803,f31(x46801),x46806),x46807)),f326(f257(x46802,x46802,x46805,x46803,f31(x46802),x46806),f326(f257(x46801,x46802,x46805,x46805,x46804,f31(x46805)),x46807)))
% 197.76/197.83 [4380]E(f326(f326(f288(x43801,x43802,x43803),f326(f326(f288(x43801,x43804,x43802),x43805),x43806)),x43807),f326(f326(f288(x43801,x43804,x43803),x43805),f326(f326(f288(x43804,x43802,x43803),x43806),x43807)))
% 197.76/197.83 [4447]E(f326(f326(f256(x44471,x44472,x44473),f326(f72(x44474,f939(x44472,x44473),x44471,x44475),x44476)),x44477),f326(f326(x44475,f326(x44476,f326(f250(x44471,x44472),x44477))),f326(f255(x44471,x44472),x44477)))
% 197.76/197.83 [4528]E(f326(f142(x45281,x45282,f326(f9(x45282,x45281,x45281),x45283),x45284),f326(f168(x45282),f326(f326(f154(x45285,x45282),x45286),x45287))),f326(f142(x45281,x45285,f326(f9(x45285,x45281,x45281),f326(f72(x45282,f939(x45281,x45281),x45285,x45283),x45286)),x45284),f326(f168(x45285),x45287)))
% 197.76/197.83 [4476]E(f326(f326(f40(x44761,f939(f938(x44762,x44763),a927)),x44764),f326(f326(f10(f939(f938(x44765,x44763),a927),f939(f938(x44762,x44763),a927),x44761),f326(f288(x44762,x44765,x44763),x44766)),x44767)),f326(f326(f288(x44762,x44765,x44763),x44766),f326(f326(f40(x44761,f939(f938(x44765,x44763),a927)),x44764),x44767)))
% 197.76/197.83 [4619]E(f326(f326(f40(x46191,f939(f938(x46192,x46193),a927)),x46194),f326(f326(f9(x46191,f939(f938(x46195,x46193),a927),f939(f938(x46192,x46193),a927)),f326(f326(f10(f939(f938(x46192,x46195),a927),f939(f939(f938(x46195,x46193),a927),f939(f938(x46192,x46193),a927)),x46191),f288(x46192,x46195,x46193)),x46196)),x46197)),f326(f326(f288(x46192,x46195,x46193),f326(f326(f40(x46191,f939(f938(x46192,x46195),a927)),x46194),x46196)),x46197))
% 197.76/197.83 [4620]E(f326(f142(x46201,x46202,f326(f326(f9(x46201,f939(x46202,x46203),f939(x46202,x46201)),f326(f326(f10(f939(x46203,x46201),f939(f939(x46202,x46203),f939(x46202,x46201)),x46201),f10(x46203,x46201,x46202)),x46204)),x46205),x46206),x46207),f326(f142(x46201,x46203,x46204,x46206),f326(f326(f154(x46202,x46203),x46205),x46207)))
% 197.76/197.83 [4681]E(f326(f326(f39(x46811,f939(x46812,a927)),x46813),f326(f326(f10(f939(x46814,f939(x46812,a927)),f939(x46812,a927),x46811),f326(f39(x46814,f939(x46812,a927)),x46815)),f326(f326(f9(x46811,f939(x46814,f939(x46812,a927)),f939(x46814,f939(x46812,a927))),f326(f326(f10(f939(f939(x46812,a927),f939(x46812,a927)),f939(f939(x46814,f939(x46812,a927)),f939(x46814,f939(x46812,a927))),x46811),f10(f939(x46812,a927),f939(x46812,a927),x46814)),f326(f326(f10(f939(x46812,a927),f939(f939(x46812,a927),f939(x46812,a927)),x46811),f110(f939(x46812,a927))),x46816))),x46817))),f326(f326(f110(f939(x46812,a927)),f326(f326(f39(x46811,f939(x46812,a927)),x46813),x46816)),f326(f326(f39(x46814,f939(x46812,a927)),x46815),x46817)))
% 197.76/197.83 [4682]E(f326(f326(f40(x46821,f939(x46822,a927)),x46823),f326(f326(f10(f939(x46824,f939(x46822,a927)),f939(x46822,a927),x46821),f326(f40(x46824,f939(x46822,a927)),x46825)),f326(f326(f9(x46821,f939(x46824,f939(x46822,a927)),f939(x46824,f939(x46822,a927))),f326(f326(f10(f939(f939(x46822,a927),f939(x46822,a927)),f939(f939(x46824,f939(x46822,a927)),f939(x46824,f939(x46822,a927))),x46821),f10(f939(x46822,a927),f939(x46822,a927),x46824)),f326(f326(f10(f939(x46822,a927),f939(f939(x46822,a927),f939(x46822,a927)),x46821),f101(f939(x46822,a927))),x46826))),x46827))),f326(f326(f101(f939(x46822,a927)),f326(f326(f40(x46821,f939(x46822,a927)),x46823),x46826)),f326(f326(f40(x46824,f939(x46822,a927)),x46825),x46827)))
% 197.76/197.83 [4674]E(f197(x46741,x46742,f326(f326(f326(x46743,x46744),x46745),x46746),f326(f326(f9(x46741,f938(a99,a99),f939(a99,f933(x46742))),f326(f326(f9(x46741,a99,f939(f938(a99,a99),f939(a99,f933(x46742)))),f326(f326(f9(x46741,a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(x46742))))),x46747),x46744)),x46745)),x46746)),f326(f326(f326(f209(x46741,x46742,x46743,x46747),x46744),x46745),x46746))
% 197.76/197.83 [4688]E(f198(x46881,x46882,f326(f326(f326(x46883,x46884),x46885),x46886),f326(f326(f9(x46881,f938(a99,a99),f939(a99,f933(x46882))),f326(f326(f9(x46881,a99,f939(f938(a99,a99),f939(a99,f933(x46882)))),f326(f326(f9(x46881,a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(x46882))))),x46887),x46884)),x46885)),x46886)),f211(x46881,x46882,x46883,x46887,x46884,x46885,x46886))
% 197.76/197.83 [4679]E(f195(x46791,x46792,f326(f326(f326(x46793,x46794),x46795),x46796),f326(f326(f9(x46791,f938(a99,a99),f939(a99,f933(f935(x46792)))),f326(f326(f9(x46791,a99,f939(f938(a99,a99),f939(a99,f933(f935(x46792))))),f326(f326(f9(x46791,a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(f935(x46792)))))),x46797),x46794)),x46795)),x46796)),f326(f326(f326(f205(x46791,x46792,x46793,x46797),x46794),x46795),x46796))
% 197.76/197.83 [4690]E(f196(x46901,x46902,f326(f326(f326(x46903,x46904),x46905),x46906),f326(f326(f9(x46901,f938(a99,a99),f939(a99,f933(f935(x46902)))),f326(f326(f9(x46901,a99,f939(f938(a99,a99),f939(a99,f933(f935(x46902))))),f326(f326(f9(x46901,a99,f939(a99,f939(f938(a99,a99),f939(a99,f933(f935(x46902)))))),x46907),x46904)),x46905)),x46906)),f207(x46901,x46902,x46903,x46907,x46904,x46905,x46906))
% 197.76/197.83 [4589]E(f326(f257(x45891,x45892,x45893,x45894,x45895,x45896),f326(f326(f251(x45891,x45893),x45897),x45898)),f326(f326(f251(x45892,x45894),f326(x45895,x45897)),f326(x45896,x45898)))
% 197.76/197.83 [4692]E(f326(f326(f154(f938(x46921,x46922),f938(x46923,x46924)),f326(f256(x46921,x46922,f938(x46923,x46924)),f326(f326(f9(x46921,f939(x46922,x46924),f939(x46922,f938(x46923,x46924))),f326(f326(f10(f939(x46924,f938(x46923,x46924)),f939(f939(x46922,x46924),f939(x46922,f938(x46923,x46924))),x46921),f10(x46924,f938(x46923,x46924),x46922)),f326(f326(f10(x46923,f939(x46924,f938(x46923,x46924)),x46921),f251(x46923,x46924)),x46925))),x46926))),f326(f326(f181(x46921,x46922),x46927),x46928)),f326(f326(f181(x46923,x46924),f326(f326(f154(x46921,x46923),x46925),x46927)),f326(f326(f154(x46922,x46924),x46926),x46928)))
% 197.76/197.83 [4695]E(f326(f326(f154(f938(x46951,x46952),x46953),f326(f256(x46951,x46952,x46953),f326(f326(f10(f939(x46952,f938(x46951,x46954)),f939(x46952,x46953),x46951),f326(f10(f938(x46951,x46954),x46953,x46952),x46955)),f326(f326(f9(x46951,f939(x46952,x46954),f939(x46952,f938(x46951,x46954))),f326(f326(f10(f939(x46954,f938(x46951,x46954)),f939(f939(x46952,x46954),f939(x46952,f938(x46951,x46954))),x46951),f10(x46954,f938(x46951,x46954),x46952)),f251(x46951,x46954))),x46956)))),f326(f326(f181(x46951,x46952),x46957),x46958)),f326(f326(f154(f938(x46951,x46954),x46953),x46955),f326(f326(f181(x46951,x46954),x46957),f326(f326(f154(x46952,x46954),x46956),x46958))))
% 197.76/197.83 [4623]E(f326(f326(f154(f938(x46231,x46232),x46233),f326(f256(x46231,x46232,x46233),f326(f326(f10(f939(x46232,f938(x46234,x46232)),f939(x46232,x46233),x46231),f326(f10(f938(x46234,x46232),x46233,x46232),x46235)),f326(f326(f10(x46234,f939(x46232,f938(x46234,x46232)),x46231),f251(x46234,x46232)),x46236)))),f326(f326(f181(x46231,x46232),x46237),x46238)),f326(f326(f154(f938(x46234,x46232),x46233),x46235),f326(f326(f181(x46234,x46232),f326(f326(f154(x46231,x46234),x46236),x46237)),x46238)))
% 197.76/197.83 [4580]E(f326(f326(f256(x45801,x45802,x45803),f326(f326(f10(f939(x45802,f938(x45804,x45805)),f939(x45802,x45803),x45801),f326(f10(f938(x45804,x45805),x45803,x45802),f326(f256(x45804,x45805,x45803),x45806))),x45807)),x45808),f326(f326(f256(x45804,x45805,x45803),x45806),f326(f326(f256(x45801,x45802,f938(x45804,x45805)),x45807),x45808)))
% 197.76/197.83 [4696]E(f326(f326(f40(f938(x46961,x46962),f939(f938(x46963,x46964),a927)),f326(f326(f253(x46961,x46962),x46965),f326(f18(f939(x46962,a927),x46961),x46966))),f326(f256(x46961,x46962,f939(f938(x46963,x46964),a927)),f326(f326(f9(x46961,f939(x46962,f939(x46963,f939(x46964,a927))),f939(x46962,f939(f938(x46963,x46964),a927))),f326(f326(f10(f939(f939(x46963,f939(x46964,a927)),f939(f938(x46963,x46964),a927)),f939(f939(x46962,f939(x46963,f939(x46964,a927))),f939(x46962,f939(f938(x46963,x46964),a927))),x46961),f10(f939(x46963,f939(x46964,a927)),f939(f938(x46963,x46964),a927),x46962)),f326(f326(f10(f939(x46963,a927),f939(f939(x46963,f939(x46964,a927)),f939(f938(x46963,x46964),a927)),x46961),f253(x46963,x46964)),x46967))),f326(f326(f10(f939(x46964,a927),f939(x46963,f939(x46964,a927)),x46962),f18(f939(x46964,a927),x46963)),x46968)))),f326(f326(f253(x46963,x46964),f326(f326(f40(x46961,f939(x46963,a927)),x46965),x46967)),f326(f18(f939(x46964,a927),x46963),f326(f326(f40(x46962,f939(x46964,a927)),x46966),x46968))))
% 197.76/197.83 [4637]E(f326(f326(f258(x46371,x46372,x46373,x46374),f326(f326(f258(x46371,x46375,x46376,f938(x46372,x46373)),x46377),x46378)),x46379),f326(f326(f258(x46371,x46375,x46376,x46374),x46377),f326(f326(f9(x46375,f939(x46372,f939(x46373,x46374)),f939(x46376,x46374)),f326(f326(f10(f939(x46376,f938(x46372,x46373)),f939(f939(x46372,f939(x46373,x46374)),f939(x46376,x46374)),x46375),f258(x46376,x46372,x46373,x46374)),x46378)),x46379)))
% 197.76/197.83 [4666]E(f326(f72(f938(x46661,x46662),f938(x46663,x46664),f938(x46665,x46666),f257(x46661,x46663,x46662,x46664,x46667,x46668)),f257(x46665,x46661,x46666,x46662,x46669,x466610)),f257(x46665,x46663,x46666,x46664,f326(f72(x46661,x46663,x46665,x46667),x46669),f326(f72(x46662,x46664,x46666,x46668),x466610)))
% 197.76/197.83 [4672]E(f326(f257(x46721,x46722,x46723,x46724,x46725,x46726),f326(f257(x46727,x46721,x46728,x46723,x46729,x467210),x467211)),f326(f257(x46727,x46722,x46728,x46724,f326(f72(x46721,x46722,x46727,x46725),x46729),f326(f72(x46723,x46724,x46728,x46726),x467210)),x467211))
% 197.76/197.83 [4820]~P6(x48201)+P6(f935(x48201))
% 197.76/197.83 [4821]~P67(x48211)+P67(f935(x48211))
% 197.76/197.83 [4822]~P107(x48221)+P107(f932(x48221))
% 197.76/197.83 [4825]~P147(x48251)+~E(f77(x48251),f2(x48251))
% 197.76/197.83 [4827]~E(x48271,f2(a99))+E(f326(a24,x48271),f2(a1))
% 197.76/197.83 [4828]~E(x48281,f2(a1))+E(f81(a1,x48281),f2(a1))
% 197.76/197.83 [4834]~P148(x48341)+P32(x48341,f2(x48341))
% 197.76/197.83 [4836]~P111(x48361)+P15(x48361,f113(x48361))
% 197.76/197.83 [4845]P1(x48451)+P1(f326(a321,x48451))
% 197.76/197.83 [4899]~P148(x48991)+~P32(x48991,f77(x48991))
% 197.76/197.83 [4940]~P1(x49401)+~P1(f326(a321,x49401))
% 197.76/197.83 [4961]E(f326(a104,x49611),f2(a931))+~P1(f326(a193,x49611))
% 197.76/197.83 [5027]~P73(x50271)+P18(x50271,x50271,f80(x50271))
% 197.76/197.83 [5028]~P104(x50281)+P16(x50281,x50281,f110(x50281))
% 197.76/197.83 [5029]~P100(x50291)+P16(x50291,x50291,f80(x50291))
% 197.76/197.83 [5030]~P105(x50301)+P16(x50301,x50301,f101(x50301))
% 197.76/197.83 [5031]~P111(x50311)+P16(x50311,x50311,f232(x50311))
% 197.76/197.83 [5032]~P111(x50321)+P16(x50321,x50321,f233(x50321))
% 197.76/197.83 [4831]~E(x48311,f2(a931))+E(f326(f100(a1),x48311),f2(a1))
% 197.76/197.83 [4838]~P98(x48381)+E(f326(f103(x48381),a82),f2(x48381))
% 197.76/197.83 [4841]~E(f591(x48411),f2(a931))+E(f326(f165(a931),x48411),f2(a931))
% 197.76/197.83 [4842]~P110(x48421)+E(f236(x48421,f234(x48421)),f232(x48421))
% 197.76/197.83 [4843]~P110(x48431)+E(f237(x48431,f234(x48431)),f233(x48431))
% 197.76/197.83 [4844]~P94(x48441)+E(f81(x48441,f2(x48441)),f2(x48441))
% 197.76/197.83 [4853]~P148(x48531)+E(f326(f100(x48531),f77(a931)),f77(x48531))
% 197.76/197.83 [4854]~P148(x48541)+E(f326(f100(x48541),f2(a931)),f2(x48541))
% 197.76/197.83 [4855]~P145(x48551)+E(f326(f102(x48551),f77(a1)),f77(x48551))
% 197.76/197.83 [4856]~P145(x48561)+E(f326(f102(x48561),f2(a1)),f2(x48561))
% 197.76/197.83 [4857]E(x48571,f2(a931))+~E(f326(f100(a1),x48571),f2(a1))
% 197.76/197.83 [4893]~P122(x48931)+E(f326(f75(x48931),f77(x48931)),f77(x48931))
% 197.76/197.83 [4894]~P89(x48941)+E(f326(f75(x48941),f2(x48941)),f2(x48941))
% 197.76/197.83 [4895]~P99(x48951)+E(f326(f78(x48951),f188(x48951)),f241(x48951))
% 197.76/197.83 [4896]~P80(x48961)+E(f326(f78(x48961),f2(x48961)),f2(x48961))
% 197.76/197.83 [4897]~P99(x48971)+E(f326(f78(x48971),f241(x48971)),f188(x48971))
% 197.76/197.83 [4898]~P86(x48981)+E(f326(f165(x48981),f113(x48981)),f2(x48981))
% 197.76/197.83 [4916]~P40(x49161)+P44(f326(f172(a1),x49161))
% 197.76/197.83 [4945]~P98(x49451)+E(f326(f78(x49451),f77(x49451)),f326(f103(x49451),a97))
% 197.76/197.83 [4960]~P98(x49601)+P32(x49601,f326(f103(x49601),a82))
% 197.76/197.83 [4986]P40(x49861)+~P44(f326(f172(a1),x49861))
% 197.76/197.83 [5033]E(f326(f100(a1),f326(a104,x50331)),x50331)+P1(f326(a193,x50331))
% 197.76/197.83 [5103]~P118(x51031)+E(f244(x51031,f77(x51031),f80(x51031)),f243(x51031))
% 197.76/197.83 [5136]~P98(x51361)+~P32(x51361,f326(f103(x51361),a97))
% 197.76/197.83 [5283]E(f326(f75(a1),x52831),x52831)+P1(f326(f326(f235(a1),x52831),f2(a1)))
% 197.76/197.83 [5301]~E(f326(a104,x53011),f2(a931))+P1(f326(f326(f234(a1),x53011),f2(a1)))
% 197.76/197.83 [5366]~P1(f326(a193,x53661))+P1(f326(f326(f235(a1),x53661),f2(a1)))
% 197.76/197.83 [5406]~P145(x54061)+P1(f326(f326(f328(x54061),f77(x54061)),f109(x54061)))
% 197.76/197.83 [5407]~P148(x54071)+P1(f326(f326(f328(x54071),f77(x54071)),f186(x54071)))
% 197.76/197.83 [5408]~P145(x54081)+P1(f326(f326(f328(x54081),f2(x54081)),f109(x54081)))
% 197.76/197.83 [5409]~P148(x54091)+P1(f326(f326(f328(x54091),f2(x54091)),f186(x54091)))
% 197.76/197.83 [5410]~P114(x54101)+P1(f326(f326(f234(x54101),f2(x54101)),f77(x54101)))
% 197.76/197.83 [5411]~P114(x54111)+P1(f326(f326(f235(x54111),f2(x54111)),f77(x54111)))
% 197.76/197.83 [5464]E(x54641,f2(a931))+~P1(f326(f326(f234(a931),x54641),f2(a931)))
% 197.76/197.83 [5506]E(f326(a104,x55061),f2(a931))+~P1(f326(f326(f234(a1),x55061),f2(a1)))
% 197.76/197.83 [5568]P1(f326(a193,x55681))+~P1(f326(f326(f235(a1),x55681),f2(a1)))
% 197.76/197.83 [5575]~P111(x55751)+P18(x55751,f932(x55751),f148(x55751,x55751,f7(x55751)))
% 197.76/197.83 [5593]P44(x55931)+~P1(f326(f326(f234(a1),f2(a1)),f501(x55931)))
% 197.76/197.83 [5598]E(f326(f75(a1),x55981),f326(f78(a1),x55981))+~P1(f326(f326(f235(a1),x55981),f2(a1)))
% 197.76/197.83 [5769]~P114(x57691)+~P1(f326(f326(f234(x57691),f77(x57691)),f2(x57691)))
% 197.76/197.83 [5770]~P114(x57701)+~P1(f326(f326(f235(x57701),f77(x57701)),f2(x57701)))
% 197.76/197.83 [5784]~E(x57841,f2(a931))+P1(f326(f326(f234(a1),f326(f100(a1),x57841)),f2(a1)))
% 197.76/197.83 [5785]~E(x57851,f2(a1))+P1(f326(f326(f235(a1),f326(f75(a1),x57851)),f77(a1)))
% 197.76/197.83 [5908]~P86(x59081)+E(f142(x59081,x59081,f79(x59081),f2(x59081)),f165(x59081))
% 197.76/197.83 [6084]~P106(x60841)+P27(a931,x60841,f100(x60841),f241(f939(a931,a927)))
% 197.76/197.83 [6289]E(x62891,f2(a931))+~P1(f326(f326(f234(a1),f326(f100(a1),x62891)),f2(a1)))
% 197.76/197.83 [6290]E(x62901,f2(a1))+~P1(f326(f326(f235(a1),f326(f75(a1),x62901)),f77(a1)))
% 197.76/197.83 [7093]~P1(f326(f326(f235(a1),x70931),f2(a1)))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x70931),x70931)),f2(a1)))
% 197.76/197.83 [7657]P1(f326(f326(f235(a1),x76571),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x76571),x76571)),f2(a1)))
% 197.76/197.83 [8217]E(x82171,f326(a5,f2(a931)))+P1(f326(f326(f235(a931),f326(f326(f3(a931),f326(a22,x82171)),f326(a112,f2(a931)))),f326(a22,x82171)))
% 197.76/197.83 [8984]~P1(f326(f326(f235(a1),x89841),f2(a1)))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89841),x89841)),a97)),f2(a1)))
% 197.76/197.83 [9081]~P1(f326(f326(f235(a1),x90811),f2(a1)))+P1(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x90811)),x90811)),f2(a1)))
% 197.76/197.83 [9401]P1(f326(f326(f235(a1),x94011),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x94011),x94011)),a97)),f2(a1)))
% 197.76/197.83 [9471]P1(f326(f326(f235(a1),x94711),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f79(a1),f77(a1)),x94711)),x94711)),f2(a1)))
% 197.76/197.83 [4934]~E(a82,x49341)+E(f326(f326(f79(a1),x49341),x49341),a82)
% 197.76/197.83 [4935]~E(x49351,a82)+E(f326(f326(f79(a1),x49351),x49351),a82)
% 197.76/197.83 [4946]E(x49461,f2(a1))+E(f326(f326(f36(a1),x49461),x49461),f77(a1))
% 197.76/197.83 [5080]E(x50801,a82)+~E(f326(f326(f79(a1),x50801),x50801),a82)
% 197.76/197.83 [5081]E(a82,x50811)+~E(f326(f326(f79(a1),x50811),x50811),a82)
% 197.76/197.83 [5093]~P7(x50931)+E(f37(x50931,f188(f939(x50931,a927))),f188(x50931))
% 197.76/197.83 [5094]~P7(x50941)+E(f37(x50941,f241(f939(x50941,a927))),f241(x50941))
% 197.76/197.83 [5095]~P7(x50951)+E(f38(x50951,f188(f939(x50951,a927))),f241(x50951))
% 197.76/197.83 [5096]~P7(x50961)+E(f38(x50961,f241(f939(x50961,a927))),f188(x50961))
% 197.76/197.83 [5097]~P111(x50971)+E(f139(x50971,f188(f939(x50971,a927))),f113(x50971))
% 197.76/197.83 [5239]E(x52391,f2(a931))+P1(f326(f326(f235(a931),f2(a931)),x52391))
% 197.76/197.83 [5258]~P8(x52581)+P1(f326(f326(f234(a1),f2(a1)),x52581))
% 197.76/197.83 [5292]~E(f326(f103(a931),x52921),f2(a931))+P1(f326(f326(f234(a1),x52921),a82))
% 197.76/197.83 [5297]P44(x52971)+P1(f326(f326(f328(a1),f501(x52971)),x52971))
% 197.76/197.83 [5298]E(x52981,f326(a5,f2(a931)))+P1(f326(f326(f234(a99),f77(a99)),x52981))
% 197.76/197.83 [5339]P1(f326(a193,x53391))+P1(f326(f326(f234(a1),f2(a1)),x53391))
% 197.76/197.83 [5388]E(f326(f100(a1),f326(a104,x53881)),f2(a1))+P1(f326(f326(f234(a1),f2(a1)),x53881))
% 197.76/197.83 [5445]E(f326(f100(a1),f326(f103(a931),x54451)),f326(f103(a1),x54451))+P1(f326(a193,f326(f103(a1),x54451)))
% 197.76/197.83 [5470]E(f326(f103(a931),x54701),f2(a931))+~P1(f326(a193,f326(f103(a1),x54701)))
% 197.76/197.83 [5471]E(f326(f103(a931),x54711),f2(a931))+~P1(f326(f326(f234(a1),x54711),a82))
% 197.76/197.83 [5503]P8(x55031)+~P1(f326(f326(f234(a1),f2(a1)),x55031))
% 197.76/197.83 [5578]E(f326(a112,f831(x55781)),x55781)+~P1(f326(f326(f235(a931),f2(a931)),x55781))
% 197.76/197.83 [5587]E(f326(a112,f326(f103(a931),x55871)),f77(a931))+~P1(f326(a193,f326(f103(a1),x55871)))
% 197.76/197.83 [5594]E(f326(f100(a1),f336(x55941)),x55941)+~P1(f326(f326(f235(a1),f2(a1)),x55941))
% 197.76/197.83 [5601]~E(x56011,f326(a5,f2(a931)))+~P1(f326(f326(f234(a99),f77(a99)),x56011))
% 197.76/197.83 [5608]E(f326(f100(a1),f326(f103(a931),x56081)),f2(a1))+~P1(f326(a193,f326(f103(a1),x56081)))
% 197.76/197.83 [5634]E(f326(f165(a931),x56341),f2(a931))+P1(f326(f326(f328(a931),f591(x56341)),f326(f172(a931),x56341)))
% 197.76/197.83 [5654]E(f326(f100(a1),f326(a104,x56541)),x56541)+~P1(f326(f326(f234(a1),f2(a1)),x56541))
% 197.76/197.83 [5662]~P1(f326(a193,x56621))+~P1(f326(f326(f234(a1),f2(a1)),x56621))
% 197.76/197.83 [5762]E(f326(f326(f79(a931),f77(a931)),f326(f103(a931),x57621)),f77(a931))+~P1(f326(f326(f235(a1),x57621),a82))
% 197.76/197.83 [5827]E(x58271,f2(a931))+~P1(f326(f326(f235(a931),x58271),f326(a112,f2(a931))))
% 197.76/197.83 [5867]E(f326(f326(f3(a931),f326(f103(a931),x58671)),f77(a931)),f2(a931))+~P1(f326(f326(f234(a1),x58671),a82))
% 197.76/197.83 [5868]E(f326(f326(f79(a931),f326(f103(a931),x58681)),f77(a931)),f77(a931))+~P1(f326(f326(f235(a1),x58681),a82))
% 197.76/197.83 [5880]~P44(x58801)+E(f326(f35(a931),f326(f309(a1,a931,a104),x58801)),f326(f35(a1),x58801))
% 197.76/197.83 [5909]~P111(x59091)+E(f236(x59091,f326(f9(x59091,x59091,a927),f234(x59091))),f233(x59091))
% 197.76/197.83 [5910]~P111(x59101)+E(f237(x59101,f326(f9(x59101,x59101,a927),f234(x59101))),f232(x59101))
% 197.76/197.83 [5920]E(f45(a931,f326(a112,f2(a931)),f326(f103(a931),x59201)),f326(a112,f2(a931)))+~P1(f326(a193,f326(f103(a1),x59201)))
% 197.76/197.83 [5929]~P1(f326(f326(f235(a1),f2(a1)),x59291))+P1(f326(f326(f234(a1),f77(a1)),x59291))
% 197.76/197.83 [5930]P1(f326(f326(f235(a1),f2(a1)),x59301))+~P1(f326(f326(f234(a1),f77(a1)),x59301))
% 197.76/197.83 [5941]E(f326(a112,f326(f326(f3(a931),x59411),f77(a931))),x59411)+~P1(f326(f326(f235(a931),f2(a931)),x59411))
% 197.76/197.83 [5997]P1(f326(f326(f235(a931),f2(a931)),f336(x59971)))+~P1(f326(f326(f235(a1),f2(a1)),x59971))
% 197.76/197.83 [6058]E(f45(a1,f326(f103(a1),a97),x60581),f326(f326(f3(a1),x60581),f77(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x60581))
% 197.76/197.83 [6098]~P1(f326(f326(f235(a1),a82),x60981))+P1(f326(f326(f235(a931),f2(a931)),f326(f103(a931),x60981)))
% 197.76/197.83 [6103]E(f326(a22,f821(x61031)),x61031)+~P1(f326(f326(f328(a931),x61031),f241(f939(a931,a927))))
% 197.76/197.83 [6156]P1(f326(f326(f235(a931),f2(a931)),f326(a104,x61561)))+~P1(f326(f326(f235(a1),f2(a1)),x61561))
% 197.76/197.83 [6206]~P1(f326(f326(f235(a931),f2(a931)),x62061))+P1(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x62061)))
% 197.76/197.83 [6242]~P1(f326(f326(f235(a931),f2(a931)),f326(a104,x62421)))+P1(f326(f326(f235(a1),f2(a1)),x62421))
% 197.76/197.83 [6257]~P44(x62571)+E(f326(f309(a931,a1,f100(a1)),f326(f309(a1,a931,a104),x62571)),x62571)
% 197.76/197.83 [6270]P1(f326(f326(f235(a1),a82),x62701))+~P1(f326(f326(f235(a931),f2(a931)),f326(f103(a931),x62701)))
% 197.76/197.83 [6330]P1(f326(f326(f235(a931),f2(a931)),x63301))+~P1(f326(f326(f235(a1),f2(a1)),f326(f100(a1),x63301)))
% 197.76/197.83 [6445]E(f326(f309(a931,a1,f100(a1)),f326(f281(a931),f326(a104,x64451))),f326(f301(a1,f2(a1)),x64451))+~P1(f326(f326(f234(a1),f2(a1)),x64451))
% 197.76/197.83 [6461]~P114(x64611)+P1(f326(f326(f235(x64611),f2(x64611)),f326(f326(f79(x64611),f77(x64611)),f77(x64611))))
% 197.76/197.83 [6510]P1(f326(f326(f235(a931),f326(a112,f2(a931))),f326(a104,x65101)))+~P1(f326(f326(f235(a1),f77(a1)),x65101))
% 197.76/197.83 [6609]E(x66091,f2(a1))+P1(f326(f49(f2(a1),x66091),f326(f326(f251(a1,a1),f2(a1)),f2(a1))))
% 197.76/197.83 [6779]~P1(f326(f326(f235(a931),f326(a112,f2(a931))),f326(a104,x67791)))+P1(f326(f326(f235(a1),f77(a1)),x67791))
% 197.76/197.83 [7206]~P120(x72061)+P41(x72061,f326(f261(f938(x72061,x72061)),f326(f256(x72061,x72061,a927),f235(x72061))))
% 197.76/197.83 [5814]E(f326(f103(a931),f326(f326(f3(a1),x58141),a97)),f326(a112,f326(f103(a931),x58141)))+P1(f326(a193,f326(f103(a1),x58141)))
% 197.76/197.83 [5830]~P40(x58301)+E(f326(f326(f154(a931,a1),f100(a1)),f326(f326(f154(a1,a931),a104),x58301)),x58301)
% 197.76/197.83 [5844]P30(a926,a940,x58441)+~P1(f326(f326(f328(f930(a926)),x58441),a942))
% 197.76/197.83 [5947]E(f326(f78(a1),f326(f100(a1),f326(a112,f365(x59471)))),x59471)+~P1(f326(f326(f235(a1),x59471),f2(a1)))
% 197.76/197.83 [5957]E(f326(f326(f79(a931),f77(a931)),f326(f103(a931),x59571)),f326(f103(a931),f326(f326(f3(a1),x59571),a97)))+P1(f326(f326(f235(a1),x59571),a82))
% 197.76/197.83 [5999]E(f326(f326(f36(a1),f326(f103(a1),a97)),x59991),f326(f103(a1),a97))+~P1(f326(f326(f235(a1),f2(a1)),x59991))
% 197.76/197.83 [6094]E(f326(f326(f3(a931),f326(f103(a931),x60941)),f77(a931)),f326(f103(a931),f326(f326(f79(a1),x60941),a97)))+P1(f326(f326(f234(a1),x60941),a82))
% 197.76/197.83 [6095]E(f326(f326(f79(a931),f326(f103(a931),x60951)),f77(a931)),f326(f103(a931),f326(f326(f3(a1),x60951),a97)))+P1(f326(f326(f235(a1),x60951),a82))
% 197.76/197.83 [6141]E(f326(a104,f326(f326(f79(a1),f77(a1)),x61411)),f326(a112,f326(a104,x61411)))+~P1(f326(f326(f234(a1),f2(a1)),x61411))
% 197.76/197.83 [6177]E(f326(a112,f326(f326(f3(a931),x61771),f326(a112,f2(a931)))),x61771)+~P1(f326(f326(f235(a931),f2(a931)),x61771))
% 197.76/197.83 [6396]E(f45(a931,f326(a112,f2(a931)),f326(f103(a931),x63961)),f326(a104,f45(a1,f77(a1),f326(f103(a1),x63961))))+P1(f326(a193,f326(f103(a1),x63961)))
% 197.76/197.83 [6438]~P1(f326(f326(f234(a1),a82),x64381))+P1(f326(f326(f234(a1),a82),f326(f326(f79(a1),x64381),x64381)))
% 197.76/197.83 [6439]~P1(f326(f326(f235(a1),a97),x64391))+P1(f326(f326(f234(a1),a97),f326(f326(f79(a1),x64391),x64391)))
% 197.76/197.83 [6440]~P1(f326(f326(f235(a1),a82),x64401))+P1(f326(f326(f235(a1),a82),f326(f326(f79(a1),x64401),x64401)))
% 197.76/197.83 [6441]~P1(f326(f326(f235(a1),a97),x64411))+P1(f326(f326(f235(a1),a97),f326(f326(f79(a1),x64411),x64411)))
% 197.76/197.83 [6622]~P1(f326(f61(x66221),f241(f939(x66221,a927))))+P1(f326(f61(f935(x66221)),f241(f939(f935(x66221),a927))))
% 197.76/197.83 [6709]~P1(f326(f326(f234(a1),f2(a1)),x67091))+P1(f326(f326(f235(a1),f2(a1)),f326(f326(f79(a1),f77(a1)),x67091)))
% 197.76/197.83 [6716]E(f326(f250(a1,a1),f47(f77(a1),f326(f103(a1),x67161))),f326(f326(f36(a1),f77(a1)),f326(f103(a1),x67161)))+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x67161)))
% 197.76/197.83 [6738]E(f326(f255(a1,a1),f47(f77(a1),f326(f103(a1),x67381))),f45(a1,f77(a1),f326(f103(a1),x67381)))+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x67381)))
% 197.76/197.83 [6750]P1(f326(f61(x67501),f241(f939(x67501,a927))))+~P1(f326(f61(f935(x67501)),f241(f939(f935(x67501),a927))))
% 197.76/197.83 [6780]P1(f326(f326(f234(a1),a82),x67801))+~P1(f326(f326(f234(a1),a82),f326(f326(f79(a1),x67801),x67801)))
% 197.76/197.83 [6781]P1(f326(f326(f235(a1),a82),x67811))+~P1(f326(f326(f235(a1),a82),f326(f326(f79(a1),x67811),x67811)))
% 197.76/197.83 [6782]P1(f326(f326(f235(a1),a97),x67821))+~P1(f326(f326(f234(a1),a97),f326(f326(f79(a1),x67821),x67821)))
% 197.76/197.83 [6783]P1(f326(f326(f235(a1),a97),x67831))+~P1(f326(f326(f235(a1),a97),f326(f326(f79(a1),x67831),x67831)))
% 197.76/197.83 [7097]~P1(f326(f61(x70971),f241(f939(x70971,a927))))+P1(f326(f326(f235(a931),f2(a931)),f326(f35(x70971),f241(f939(x70971,a927)))))
% 197.76/197.83 [7699]P1(f326(f61(a931),x76991))+~P1(f326(f61(a1),f326(f309(a931,a1,f100(a1)),x76991)))
% 197.76/197.83 [5737]~E(a97,x57371)+E(f326(f326(f3(a1),f326(f326(f79(a1),x57371),x57371)),a97),a97)
% 197.76/197.83 [5738]~E(x57381,a97)+E(f326(f326(f3(a1),f326(f326(f79(a1),x57381),x57381)),a97),a97)
% 197.76/197.83 [6265]E(x62651,a97)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62651),x62651)),a97),a97)
% 197.76/197.83 [6266]E(a97,x62661)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x62661),x62661)),a97),a97)
% 197.76/197.83 [6677]~E(f326(f103(a931),x66771),f2(a931))+P1(f326(a193,f326(f103(a1),f326(f326(f79(a1),x66771),a97))))
% 197.76/197.83 [7027]~P1(f326(a193,f326(f103(a1),x70271)))+P1(f326(a193,f326(f103(a1),f326(f326(f79(a1),x70271),x70271))))
% 197.76/197.83 [7028]~P1(f326(f326(f234(a1),x70281),a82))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x70281),x70281)),a82))
% 197.76/197.83 [7029]~P1(f326(f326(f234(a1),x70291),a97))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x70291),x70291)),a97))
% 197.76/197.83 [7030]~P1(f326(f326(f235(a1),x70301),a82))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x70301),x70301)),a82))
% 197.76/197.83 [7031]~P1(f326(f326(f234(a1),x70311),a97))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x70311),x70311)),a97))
% 197.76/197.83 [7353]E(f326(f103(a931),x73531),f2(a931))+~P1(f326(a193,f326(f103(a1),f326(f326(f79(a1),x73531),a97))))
% 197.76/197.83 [7611]~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x76111)))+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f79(a1),x76111),x76111))))
% 197.76/197.83 [7612]P1(f326(a193,f326(f103(a1),x76121)))+~P1(f326(a193,f326(f103(a1),f326(f326(f79(a1),x76121),x76121))))
% 197.76/197.83 [7613]P1(f326(f326(f234(a1),x76131),a82))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x76131),x76131)),a82))
% 197.76/197.83 [7614]P1(f326(f326(f234(a1),x76141),a97))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x76141),x76141)),a97))
% 197.76/197.83 [7615]P1(f326(f326(f234(a1),x76151),a97))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x76151),x76151)),a97))
% 197.76/197.83 [7616]P1(f326(f326(f235(a1),x76161),a82))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x76161),x76161)),a82))
% 197.76/197.83 [7981]E(f326(a106,f541(x79811)),x79811)+~P1(f326(f326(f328(f939(f938(a931,a931),a927)),x79811),a98))
% 197.76/197.83 [6596]~P98(x65961)+E(f326(f103(x65961),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f77(x65961))
% 197.76/197.83 [7077]~P1(f326(a193,f326(f103(a1),x70771)))+E(f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x70771),x70771)),a97)),f2(a931))
% 197.76/197.83 [8161]~P1(f326(f326(f235(a1),f326(f103(a1),x81611)),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f50(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x81611))))),f326(f326(f36(a1),f77(a1)),f326(f103(a1),x81611)))
% 197.76/197.83 [8174]~P1(f326(f326(f235(a1),f326(f103(a1),x81741)),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f50(f326(f78(a1),f77(a1)),f326(f78(a1),f326(f103(a1),x81741))))),f45(a1,f77(a1),f326(f103(a1),x81741)))
% 197.76/197.83 [8224]~P1(f326(f326(f234(a1),a82),x82241))+P1(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x82241),x82241)),a97)))
% 197.76/197.83 [8225]~P1(f326(f326(f234(a1),a97),x82251))+P1(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x82251),x82251)),a97)))
% 197.76/197.83 [8226]~P1(f326(f326(f234(a1),a82),x82261))+P1(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x82261),x82261)),a97)))
% 197.76/197.83 [8227]~P1(f326(f326(f235(a1),a97),x82271))+P1(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x82271),x82271)),a97)))
% 197.76/197.83 [8527]~P98(x85271)+~P32(x85271,f326(f103(x85271),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 197.76/197.83 [8709]P1(f326(f326(f234(a1),a82),x87091))+~P1(f326(f326(f234(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x87091),x87091)),a97)))
% 197.76/197.83 [8710]P1(f326(f326(f234(a1),a82),x87101))+~P1(f326(f326(f235(a1),a82),f326(f326(f3(a1),f326(f326(f79(a1),x87101),x87101)),a97)))
% 197.76/197.83 [8711]P1(f326(f326(f234(a1),a97),x87111))+~P1(f326(f326(f234(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x87111),x87111)),a97)))
% 197.76/197.83 [8712]P1(f326(f326(f235(a1),a97),x87121))+~P1(f326(f326(f235(a1),a97),f326(f326(f3(a1),f326(f326(f79(a1),x87121),x87121)),a97)))
% 197.76/197.83 [9031]E(f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x90311),x90311)),a97)),f326(f326(f85(a931,a931),f326(f103(a931),x90311)),f326(f326(f10(a931,a931,a931),a112),f326(f326(f20(a931,a931,a931),f79(a931)),f7(a931)))))+P1(f326(a193,f326(f103(a1),x90311)))
% 197.76/197.83 [9898]E(x98981,f188(f939(f938(a931,a931),a927)))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x98981),f188(f939(f938(a931,a931),a927)))),a33))
% 197.76/197.83 [8958]~P1(f326(a193,f326(f103(a1),x89581)))+P1(f326(a193,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89581),x89581)),a97))))
% 197.76/197.83 [8959]~P1(f326(f326(f235(a1),x89591),a82))+P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89591),x89591)),a97)),a82))
% 197.76/197.83 [8960]~P1(f326(f326(f234(a1),x89601),a97))+P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89601),x89601)),a97)),a97))
% 197.76/197.83 [8961]~P1(f326(f326(f235(a1),x89611),a82))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89611),x89611)),a97)),a82))
% 197.76/197.83 [8962]~P1(f326(f326(f235(a1),x89621),a97))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x89621),x89621)),a97)),a97))
% 197.76/197.83 [9072]~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x90721)))+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x90721),x90721)),a97))))
% 197.76/197.83 [9232]~P98(x92321)+E(f326(f326(f79(x92321),f77(x92321)),f77(x92321)),f326(f103(x92321),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 197.76/197.83 [9385]P1(f326(a193,f326(f103(a1),x93851)))+~P1(f326(a193,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93851),x93851)),a97))))
% 197.76/197.83 [9386]P1(f326(f326(f234(a1),x93861),a97))+~P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93861),x93861)),a97)),a97))
% 197.76/197.83 [9387]P1(f326(f326(f235(a1),x93871),a82))+~P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93871),x93871)),a97)),a82))
% 197.76/197.83 [9388]P1(f326(f326(f235(a1),x93881),a82))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93881),x93881)),a97)),a82))
% 197.76/197.83 [9389]P1(f326(f326(f235(a1),x93891),a97))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93891),x93891)),a97)),a97))
% 197.76/197.83 [9943]~P1(f326(f61(f938(a931,a931)),x99431))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f188(f939(f938(a931,a931),a927))),x99431)),a69))
% 197.76/197.83 [9725]~P148(x97251)+E(f326(f326(f243(x97251),f77(x97251)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x97251))
% 197.76/197.83 [9726]~P148(x97261)+E(f326(f326(f243(x97261),f2(x97261)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x97261))
% 197.76/197.83 [10167]~P1(f326(f326(f235(a931),f77(a931)),x101671))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f36(a931),x101671),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.83 [10173]~P1(f326(f326(f235(a931),f2(a931)),x101731))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f36(a931),f326(f326(f79(a931),x101731),f77(a931))),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.83 [10213]~E(f45(a931,x102131,f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a931))+P1(f326(f326(f235(a931),f2(a931)),f45(a931,x102131,f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.83 [10243]E(f45(a931,x102431,f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(a931))+~P1(f326(f326(f235(a931),f2(a931)),f45(a931,x102431,f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.83 [4862]~P9(x48621,x48622)+P48(x48621,x48622)
% 197.76/197.83 [4863]~P41(x48631,x48632)+P62(x48631,x48632)
% 197.76/197.83 [4864]~P49(x48641,x48642)+P62(x48641,x48642)
% 197.76/197.83 [4866]~P9(x48661,x48662)+P54(x48661,x48662)
% 197.76/197.83 [4868]~P17(x48681,x48682)+P54(x48681,x48682)
% 197.76/197.83 [4870]~P9(x48701,x48702)+P55(x48701,x48702)
% 197.76/197.83 [4872]~P17(x48721,x48722)+P55(x48721,x48722)
% 197.76/197.83 [4873]~P9(x48731,x48732)+P17(x48731,x48732)
% 197.76/197.83 [4823]~E(x48231,x48232)+E(f268(x48231,x48232),f77(a99))
% 197.76/197.83 [4826]E(f216(x48261,x48262),x48261)+~E(x48262,f2(a931))
% 197.76/197.83 [4833]~E(x48332,f113(x48331))+E(f152(x48331,x48332),f113(x48331))
% 197.76/197.83 [4852]~E(f152(x48522,x48521),f113(x48522))+E(x48521,f113(x48522))
% 197.76/197.83 [4877]~P2(x48772)+P2(f939(x48771,x48772))
% 197.76/197.83 [4878]~P109(x48782)+P109(f939(x48781,x48782))
% 197.76/197.83 [4879]~P110(x48792)+P110(f939(x48791,x48792))
% 197.76/197.83 [4880]~P112(x48802)+P112(f939(x48801,x48802))
% 197.76/197.83 [4881]~P3(x48812)+P3(f939(x48811,x48812))
% 197.76/197.83 [4882]~P3(x48822)+P104(f939(x48821,x48822))
% 197.76/197.83 [4883]~P101(x48832)+P4(f939(x48831,x48832))
% 197.76/197.83 [4884]~P5(x48842)+P5(f939(x48841,x48842))
% 197.76/197.83 [4885]~P3(x48852)+P105(f939(x48851,x48852))
% 197.76/197.83 [4886]~P102(x48862)+P102(f939(x48861,x48862))
% 197.76/197.83 [4887]~P7(x48872)+P7(f939(x48871,x48872))
% 197.76/197.83 [4888]~P99(x48882)+P99(f939(x48881,x48882))
% 197.76/197.83 [4889]~P93(x48892)+P93(f939(x48891,x48892))
% 197.76/197.83 [4890]~P119(x48902)+P119(f939(x48901,x48902))
% 197.76/197.83 [4891]~P101(x48912)+P103(f939(x48911,x48912))
% 197.76/197.83 [4892]~P101(x48922)+P101(f939(x48921,x48922))
% 197.76/197.83 [4905]E(x49051,x49052)+~E(f326(a112,x49051),f326(a112,x49052))
% 197.76/197.83 [4906]E(x49061,x49062)+~E(f326(a106,x49061),f326(a106,x49062))
% 197.76/197.83 [4907]E(x49071,x49072)+~E(f326(a5,x49071),f326(a5,x49072))
% 197.76/197.83 [4909]E(x49091,x49092)+~E(f326(a22,x49091),f326(a22,x49092))
% 197.76/197.83 [4962]P43(x49621,x49622)+~E(f717(x49622,x49621),f718(x49622,x49621))
% 197.76/197.83 [4992]~P62(x49921,x49922)+P43(x49921,f306(x49921,x49922))
% 197.76/197.83 [4993]~P56(x49931,x49932)+P56(x49931,f306(x49931,x49932))
% 197.76/197.83 [5006]~P65(x50061)+E(f45(x50061,x50062,x50062),f2(x50061))
% 197.76/197.83 [5040]~P41(x50401,x50402)+P41(f932(x50401),f146(x50401,x50402))
% 197.76/197.83 [5041]~P41(x50411,x50412)+P41(f932(x50411),f145(x50411,x50412))
% 197.76/197.83 [5042]~P42(x50421,x50422)+P42(f932(x50421),f147(x50421,x50422))
% 197.76/197.83 [5043]~P42(x50431,x50432)+P42(f932(x50431),f158(x50431,x50432))
% 197.76/197.83 [5044]~P56(x50441,x50442)+P56(f932(x50441),f158(x50441,x50442))
% 197.76/197.83 [5141]~P41(x51411,x51412)+P41(f939(x51411,a927),f317(x51411,x51412))
% 197.76/197.83 [5142]~P41(x51421,x51422)+P41(f939(x51421,a927),f318(x51421,x51422))
% 197.76/197.83 [5267]~P8(x52671)+P44(f302(a1,x52671,x52672))
% 197.76/197.83 [5369]~P41(x53691,x53692)+P64(x53691,f67(x53691,x53691,x53692))
% 197.76/197.83 [5874]~P83(x58741)+P27(x58741,x58741,f78(x58741),x58742)
% 197.76/197.83 [4847]~E(x48472,f113(x48471))+E(f326(f167(x48471),x48472),f113(x48471))
% 197.76/197.83 [4848]~E(x48482,f113(x48481))+E(f326(f168(x48481),x48482),f113(x48481))
% 197.76/197.83 [4911]E(x49111,f326(a104,x49112))+~E(f326(f100(a1),x49111),x49112)
% 197.76/197.83 [4914]E(x49141,f113(x49142))+~E(f326(f167(x49142),x49141),f113(x49142))
% 197.76/197.83 [4915]E(x49151,f113(x49152))+~E(f326(f168(x49152),x49151),f113(x49152))
% 197.76/197.83 [4931]~P98(x49311)+E(f326(f103(x49311),x49312),f326(f102(x49311),x49312))
% 197.76/197.83 [4939]~P6(x49391)+P1(f326(f61(x49391),x49392))
% 197.76/197.83 [4947]~E(f678(x49472,x49471),f113(x49471))+E(f179(x49471,x49472),f113(f932(x49471)))
% 197.76/197.83 [4956]~E(x49562,f113(x49561))+E(f326(f172(x49561),x49562),f188(f939(x49561,a927)))
% 197.76/197.83 [4957]~E(x49572,f113(x49571))+E(f188(f939(x49571,a927)),f326(f172(x49571),x49572))
% 197.76/197.83 [4959]E(x49591,x49592)+~E(f326(f100(a1),x49591),f326(f100(a1),x49592))
% 197.76/197.83 [4963]E(f214(x49631,x49632),f2(a931))+P1(f326(f61(x49631),x49632))
% 197.76/197.83 [4981]~P122(x49811)+E(f81(x49811,f81(x49811,x49812)),f81(x49811,x49812))
% 197.76/197.83 [4995]~P85(x49951)+E(f326(f326(f243(x49951),x49952),f77(a931)),x49952)
% 197.76/197.83 [4996]~P115(x49961)+E(f326(f326(f243(x49961),x49962),f77(a931)),x49962)
% 197.76/197.83 [4997]~P56(x49971,x49972)+E(f326(f285(x49971,x49971),x49972),x49972)
% 197.76/197.83 [5001]E(x50011,x50012)+E(f268(x50011,x50012),f326(f326(f79(a99),x50012),f77(a99)))
% 197.76/197.83 [5004]E(f326(f35(x50041),x50042),f2(a931))+P1(f326(f61(x50041),x50042))
% 197.76/197.83 [5007]~E(f152(x50071,x50072),x50072)+P1(f326(f137(x50071),x50072))
% 197.76/197.83 [5010]~P4(x50101)+E(f326(f326(f110(x50101),x50102),f188(x50101)),x50102)
% 197.76/197.83 [5011]~P80(x50111)+E(f326(f326(f3(x50111),x50112),f2(x50111)),x50112)
% 197.76/197.83 [5012]~P75(x50121)+E(f326(f326(f80(x50121),x50122),f77(x50121)),x50122)
% 197.76/197.83 [5013]~P85(x50131)+E(f326(f326(f80(x50131),x50132),f77(x50131)),x50132)
% 197.76/197.83 [5014]~P115(x50141)+E(f326(f326(f80(x50141),x50142),f77(x50141)),x50142)
% 197.76/197.83 [5015]~P115(x50151)+E(f326(f326(f79(x50151),x50152),f2(x50151)),x50152)
% 197.76/197.83 [5016]~P79(x50161)+E(f326(f326(f79(x50161),x50162),f2(x50161)),x50162)
% 197.76/197.83 [5017]~P86(x50171)+E(f326(f326(f79(x50171),x50172),f2(x50171)),x50172)
% 197.76/197.83 [5018]~P103(x50181)+E(f326(f326(f101(x50181),x50182),f241(x50181)),x50182)
% 197.76/197.83 [5019]~P126(x50191)+E(f326(f326(f290(x50191),x50192),f77(x50191)),x50192)
% 197.76/197.83 [5020]~P65(x50201)+E(f326(f326(f36(x50201),x50202),f77(x50201)),x50202)
% 197.76/197.83 [5021]~P115(x50211)+E(f326(f326(f243(x50211),x50212),f2(a931)),f77(x50211))
% 197.76/197.83 [5022]~P118(x50221)+E(f326(f326(f243(x50221),x50222),f2(a931)),f77(x50221))
% 197.76/197.83 [5023]~E(x50232,f188(f939(x50231,a927)))+E(f326(f35(x50231),x50232),f2(a931))
% 197.76/197.83 [5034]~P65(x50341)+E(f45(x50341,x50342,f2(x50341)),x50342)
% 197.76/197.83 [5045]~P103(x50451)+E(f326(f326(f110(x50451),x50452),f241(x50451)),f241(x50451))
% 197.76/197.83 [5046]~P115(x50461)+E(f326(f326(f80(x50461),x50462),f2(x50461)),f2(x50461))
% 197.76/197.83 [5047]~P136(x50471)+E(f326(f326(f80(x50471),x50472),f2(x50471)),f2(x50471))
% 197.76/197.83 [5048]~P4(x50481)+E(f326(f326(f101(x50481),x50482),f188(x50481)),f188(x50481))
% 197.76/197.83 [5049]~P127(x50491)+E(f326(f326(f290(x50491),x50492),f2(x50491)),f2(x50491))
% 197.76/197.83 [5050]~P65(x50501)+E(f326(f326(f36(x50501),x50502),f2(x50501)),f2(x50501))
% 197.76/197.83 [5052]~P65(x50521)+E(f45(x50521,x50522,f77(x50521)),f2(x50521))
% 197.76/197.83 [5053]~P65(x50531)+E(f45(x50531,f2(x50531),x50532),f2(x50531))
% 197.76/197.83 [5082]E(x50821,f2(a931))+E(f55(x50822,x50821,f113(x50822)),f113(f932(x50822)))
% 197.76/197.83 [5105]P56(x51051,x51052)+~E(f326(f285(x51051,x51051),x51052),x51052)
% 197.76/197.83 [5106]P41(x51061,x51062)+~E(f592(x51062,x51061),f188(f939(x51061,a927)))
% 197.76/197.83 [5107]E(x51071,f113(x51072))+~E(f326(f172(x51072),x51071),f188(f939(x51072,a927)))
% 197.76/197.83 [5108]E(x51081,f113(x51082))+~E(f188(f939(x51082,a927)),f326(f172(x51082),x51081))
% 197.76/197.83 [5111]~E(x51111,x51112)+P1(f326(f326(a323,x51111),x51112))
% 197.76/197.83 [5121]P1(x51211)+P1(f326(f326(a329,x51211),x51212))
% 197.76/197.83 [5122]E(x51221,f113(x51222))+E(f326(f326(f164(x51222),x51221),f2(a931)),f326(f141(x51222),x51221))
% 197.76/197.83 [5125]E(f152(x51251,x51252),x51252)+~P1(f326(f137(x51251),x51252))
% 197.76/197.83 [5132]~P1(x51322)+P1(f326(f326(a329,x51321),x51322))
% 197.76/197.83 [5133]~P1(x51332)+P1(f326(f326(a325,x51331),x51332))
% 197.76/197.83 [5134]~P1(x51341)+P1(f326(f326(a325,x51341),x51342))
% 197.76/197.83 [5144]~E(f679(x51442,x51441),f683(x51442,x51441))+P1(f326(f137(x51441),x51442))
% 197.76/197.83 [5151]E(f326(f261(x51511),x51512),f188(f939(x51511,a927)))+P1(f326(x51512,f555(x51512)))
% 197.76/197.83 [5152]E(f188(f939(x51521,a927)),f326(f261(x51521),x51522))+P1(f326(x51522,f568(x51522)))
% 197.76/197.83 [5221]~P122(x52211)+E(f326(f326(f80(x52211),x52212),f81(x52211,x52212)),f326(f75(x52211),x52212))
% 197.76/197.83 [5232]~E(x52321,f2(a1))+E(f46(x52321,x52322),f326(f326(f251(a1,a1),f2(a1)),f2(a1)))
% 197.76/197.83 [5263]~P62(x52631,x52632)+P62(x52631,f326(f285(x52631,x52631),x52632))
% 197.76/197.83 [5264]~P42(x52641,x52642)+P42(x52641,f326(f285(x52641,x52641),x52642))
% 197.76/197.83 [5265]~P43(x52651,x52652)+P43(x52651,f326(f285(x52651,x52651),x52652))
% 197.76/197.83 [5266]~P56(x52661,x52662)+P56(x52661,f326(f285(x52661,x52661),x52662))
% 197.76/197.83 [5288]E(x52881,x52882)+~P1(f326(f326(a323,x52881),x52882))
% 197.76/197.83 [5299]P1(x52991)+~P1(f326(f326(a324,x52992),x52991))
% 197.76/197.83 [5300]P1(x53001)+~P1(f326(f326(a324,x53001),x53002))
% 197.76/197.83 [5305]~P119(x53051)+P1(f326(f326(f234(x53051),x53052),f241(x53051)))
% 197.76/197.83 [5306]~P115(x53061)+P1(f326(f326(f286(x53061),x53062),f2(x53061)))
% 197.76/197.83 [5310]E(x53101,x53102)+~E(f326(x53101,f332(x53102,x53101)),f326(x53102,f332(x53102,x53101)))
% 197.76/197.83 [5341]E(x53411,f2(a931))+E(f216(x53411,f45(a931,x53412,x53411)),f216(x53412,x53411))
% 197.76/197.83 [5346]~P111(x53461)+P15(x53461,f326(f326(f151(x53461),x53462),f113(x53461)))
% 197.76/197.83 [5348]E(x53481,f2(a1))+P1(f326(f49(x53482,x53481),f46(x53482,x53481)))
% 197.76/197.83 [5364]~P17(x53642,x53641)+P1(f326(f326(x53641,f812(x53641)),f812(x53641)))
% 197.76/197.83 [5367]~E(x53671,x53672)+P1(f326(f326(f235(a931),x53671),f326(a112,x53672)))
% 197.76/197.83 [5377]~E(x53771,f2(a931))+P1(f326(f326(f235(a931),x53771),f326(a112,x53772)))
% 197.76/197.83 [5387]P1(f326(x53871,x53872))+P1(f326(f326(f234(a1),f2(a1)),f334(x53871)))
% 197.76/197.83 [5450]E(f326(f326(f308(x54502),f503(x54502,x54501)),f530(x54502,x54501)),x54501)+E(x54501,f188(f939(x54502,a927)))
% 197.76/197.83 [5451]P62(x54511,x54512)+~P62(x54511,f326(f285(x54511,x54511),x54512))
% 197.76/197.83 [5452]P42(x54521,x54522)+~P42(x54521,f326(f285(x54521,x54521),x54522))
% 197.76/197.83 [5453]P43(x54531,x54532)+~P43(x54531,f326(f285(x54531,x54531),x54532))
% 197.76/197.83 [5454]P56(x54541,x54542)+~P56(x54541,f326(f285(x54541,x54541),x54542))
% 197.76/197.83 [5457]~E(f45(a931,x54572,x54571),f2(a931))+E(f326(f326(f80(a931),x54571),f359(x54571,x54572)),x54572)
% 197.76/197.83 [5458]~E(f45(a1,x54582,x54581),f2(a1))+E(f326(f326(f80(a1),x54581),f335(x54581,x54582)),x54582)
% 197.76/197.83 [5484]~P1(f326(x54841,x54842))+P1(f326(f326(f234(a1),f2(a1)),f333(x54841)))
% 197.76/197.83 [5495]E(f326(f326(f3(a931),f326(a104,x54951)),f326(a104,x54952)),f326(a104,x54951))+~P1(f326(a193,x54952))
% 197.76/197.83 [5524]E(f271(x55241,x55242),f77(a99))+~P1(f326(f326(f234(a99),x55241),f77(a99)))
% 197.76/197.83 [5620]E(f326(f326(f164(x56201),x56202),f679(x56202,x56201)),f326(f326(f164(x56201),x56202),f683(x56202,x56201)))+P1(f326(f137(x56201),x56202))
% 197.76/197.83 [5663]~P1(f326(x56631,f89(x56632,x56631)))+P1(f326(x56631,f593(x56632,x56631)))
% 197.76/197.83 [5727]P64(x57271,x57272)+~P1(f326(f314(x57271,x57272),f569(x57272,x57271)))
% 197.76/197.83 [5871]~P17(x58712,x58711)+P1(f326(f326(x58711,f813(x58711,x58712)),f813(x58711,x58712)))
% 197.76/197.83 [5872]~P17(x58722,x58721)+P1(f326(f326(x58721,f816(x58721,x58722)),f816(x58721,x58722)))
% 197.76/197.83 [5881]~E(f326(a112,f45(a931,x58811,x58812)),x58812)+E(f45(a931,f326(a112,x58811),x58812),f2(a931))
% 197.76/197.83 [5936]P41(x59361,x59362)+P1(f326(f326(f328(x59361),f611(x59362,x59361)),f612(x59362,x59361)))
% 197.76/197.83 [5943]~P98(x59431)+P1(f326(f326(f328(x59431),f326(f103(x59431),x59432)),f109(x59431)))
% 197.76/197.83 [5944]~P145(x59441)+P1(f326(f326(f328(x59441),f326(f100(x59441),x59442)),f109(x59441)))
% 197.76/197.83 [5945]~P148(x59451)+P1(f326(f326(f328(x59451),f326(f100(x59451),x59452)),f186(x59451)))
% 197.76/197.83 [5946]~P145(x59461)+P1(f326(f326(f328(x59461),f326(f102(x59461),x59462)),f109(x59461)))
% 197.76/197.83 [6080]~P42(x60801,x60802)+E(f326(f326(f288(x60801,x60801,x60801),x60802),f306(x60801,x60802)),x60802)
% 197.76/197.83 [6097]E(f326(a112,f45(a931,x60971,x60972)),x60972)+E(f45(a931,f326(a112,x60971),x60972),f326(a112,f45(a931,x60971,x60972)))
% 197.76/197.83 [6522]P41(x65221,x65222)+~P1(f326(f326(f328(x65221),f570(x65222,x65221)),f315(x65221,x65222)))
% 197.76/197.83 [6560]~P114(x65601)+~P1(f326(f326(f235(x65601),f326(f100(x65601),x65602)),f2(x65601)))
% 197.76/197.83 [6561]~P89(x65611)+~P1(f326(f326(f235(x65611),f326(f75(x65611),x65612)),f2(x65611)))
% 197.76/197.83 [6592]E(x65921,f188(f939(x65922,a927)))+~P1(f326(f326(f328(x65922),f503(x65922,x65921)),f530(x65922,x65921)))
% 197.76/197.83 [6649]P1(f326(f326(f235(a1),x66491),f45(a1,x66492,x66491)))+~P1(f326(f326(f235(a1),x66491),f2(a1)))
% 197.76/197.83 [6752]E(f326(f326(f308(a931),f326(a112,x67521)),f302(a931,x67522,x67521)),f302(a931,x67522,f326(a112,x67521)))+~P1(f326(f326(f234(a931),x67522),f326(a112,x67521)))
% 197.76/197.83 [6841]~P111(x68411)+P15(x68411,f150(x68411,x68411,f7(x68411),x68412))
% 197.76/197.83 [6969]E(f326(f167(x69691),x69692),x69692)+~P1(f326(f326(f234(a931),f326(f189(f932(x69691)),x69692)),f77(a931)))
% 197.76/197.83 [6990]~P89(x69901)+P1(f326(f326(f234(x69901),f326(f78(x69901),f326(f75(x69901),x69902))),f2(x69901)))
% 197.76/197.83 [7023]~P41(x70231,x70232)+P41(x70231,f326(f326(f288(x70231,x70231,x70231),x70232),f306(x70231,x70232)))
% 197.76/197.83 [7024]~P56(x70241,x70242)+P56(x70241,f326(f326(f288(x70241,x70241,x70241),x70242),f306(x70241,x70242)))
% 197.76/197.83 [7246]~P1(f326(f326(f235(a1),x72462),f2(a1)))+P1(f326(f326(f234(a1),f45(a1,x72461,x72462)),f2(a1)))
% 197.76/197.83 [7654]~P148(x76541)+E(f190(x76541,f326(f326(f9(x76541,x76541,x76541),f79(x76541)),f77(x76541)),x76542,f2(x76541)),f326(f100(x76541),x76542))
% 197.76/197.83 [7685]~P129(x76851)+~P1(f326(f326(f235(x76851),f326(f326(f80(x76851),x76852),x76852)),f2(x76851)))
% 197.76/197.83 [10334]~P122(x103341)+~P1(f326(f326(f235(x103341),f326(f326(f243(x103341),x103342),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x103341)))
% 197.76/197.83 [4912]~E(x49122,f113(x49121))+E(f326(f189(f932(x49121)),x49122),f2(a931))
% 197.76/197.83 [4948]~E(x49481,f2(a931))+E(f326(f326(f79(a931),x49481),x49482),x49482)
% 197.76/197.83 [4949]~E(x49492,f2(a931))+E(f326(f326(f80(a931),x49491),x49492),f2(a931))
% 197.76/197.83 [4951]~E(x49511,f2(a931))+E(f326(f326(f80(a931),x49511),x49512),f2(a931))
% 197.76/197.83 [4952]~E(x49522,f2(a1))+E(f326(f326(f36(a1),x49521),x49522),f2(a1))
% 197.76/197.83 [4953]~E(x49532,f2(a931))+E(f326(f326(f243(a931),x49531),x49532),f77(a931))
% 197.76/197.83 [4964]E(x49641,f113(x49642))+~E(f326(f189(f932(x49642)),x49641),f2(a931))
% 197.76/197.83 [4965]~P3(x49651)+E(f326(f326(f110(x49651),x49652),x49652),x49652)
% 197.76/197.83 [4967]~P104(x49671)+E(f326(f326(f110(x49671),x49672),x49672),x49672)
% 197.76/197.83 [4969]~P100(x49691)+E(f326(f326(f80(x49691),x49692),x49692),x49692)
% 197.76/197.83 [4970]~P3(x49701)+E(f326(f326(f101(x49701),x49702),x49702),x49702)
% 197.76/197.83 [4972]~P105(x49721)+E(f326(f326(f101(x49721),x49722),x49722),x49722)
% 197.76/197.83 [4974]~P111(x49741)+E(f326(f326(f232(x49741),x49742),x49742),x49742)
% 197.76/197.83 [4976]~P111(x49761)+E(f326(f326(f233(x49761),x49762),x49762),x49762)
% 197.76/197.83 [4994]~P80(x49941)+E(f326(f326(f3(x49941),x49942),x49942),f2(x49941))
% 197.76/197.83 [5008]~P80(x50081)+E(f326(f78(x50081),f326(f78(x50081),x50082)),x50082)
% 197.76/197.83 [5009]~P99(x50091)+E(f326(f78(x50091),f326(f78(x50091),x50092)),x50092)
% 197.76/197.83 [5026]~E(x50262,f2(a931))+E(f326(f326(f243(a931),x50261),x50262),f326(a112,f2(a931)))
% 197.76/197.83 [5061]~P4(x50611)+E(f326(f326(f110(x50611),f188(x50611)),x50612),x50612)
% 197.76/197.83 [5062]~P75(x50621)+E(f326(f326(f80(x50621),f77(x50621)),x50622),x50622)
% 197.76/197.83 [5063]~P85(x50631)+E(f326(f326(f80(x50631),f77(x50631)),x50632),x50632)
% 197.76/197.83 [5064]~P115(x50641)+E(f326(f326(f80(x50641),f77(x50641)),x50642),x50642)
% 197.76/197.83 [5065]~P115(x50651)+E(f326(f326(f79(x50651),f2(x50651)),x50652),x50652)
% 197.76/197.83 [5066]~P79(x50661)+E(f326(f326(f79(x50661),f2(x50661)),x50662),x50662)
% 197.76/197.83 [5067]~P86(x50671)+E(f326(f326(f79(x50671),f2(x50671)),x50672),x50672)
% 197.76/197.83 [5068]~P103(x50681)+E(f326(f326(f101(x50681),f241(x50681)),x50682),x50682)
% 197.76/197.83 [5086]~P103(x50861)+E(f326(f326(f110(x50861),f241(x50861)),x50862),f241(x50861))
% 197.76/197.83 [5087]~P115(x50871)+E(f326(f326(f80(x50871),f2(x50871)),x50872),f2(x50871))
% 197.76/197.83 [5088]~P136(x50881)+E(f326(f326(f80(x50881),f2(x50881)),x50882),f2(x50881))
% 197.76/197.83 [5089]~P4(x50891)+E(f326(f326(f101(x50891),f188(x50891)),x50892),f188(x50891))
% 197.76/197.83 [5090]~P126(x50901)+E(f326(f326(f290(x50901),f2(x50901)),x50902),f2(x50901))
% 197.76/197.83 [5091]~P65(x50911)+E(f326(f326(f36(x50911),f2(x50911)),x50912),f2(x50911))
% 197.76/197.83 [5092]~P85(x50921)+E(f326(f326(f243(x50921),f77(x50921)),x50922),f77(x50921))
% 197.76/197.83 [5100]E(x51001,f113(x51002))+E(f144(x51002,f326(f168(x51002),x51001)),f326(f141(x51002),x51001))
% 197.76/197.83 [5101]E(x51011,f113(x51012))+E(f326(f141(x51012),f326(f168(x51012),x51011)),f144(x51012,x51011))
% 197.76/197.83 [5102]E(x51021,f2(a931))+~E(f326(f326(f79(a931),x51022),x51021),x51022)
% 197.76/197.83 [5109]~P98(x51091)+E(f326(f102(x51091),f326(f103(a1),x51092)),f326(f103(x51091),x51092))
% 197.76/197.83 [5110]~P145(x51101)+E(f326(f102(x51101),f326(f100(a1),x51102)),f326(f100(x51101),x51102))
% 197.76/197.83 [5117]E(x51171,f77(a931))+~E(f326(f326(f80(a931),x51172),x51171),f77(a931))
% 197.76/197.83 [5118]E(x51181,f77(a931))+~E(f326(f326(f80(a931),x51181),x51182),f77(a931))
% 197.76/197.83 [5119]E(x51191,f2(a931))+~E(f326(f326(f79(a931),x51192),x51191),f2(a931))
% 197.76/197.83 [5120]E(x51201,f2(a931))+~E(f326(f326(f79(a931),x51201),x51202),f2(a931))
% 197.76/197.83 [5137]~P122(x51371)+E(f326(f75(x51371),f326(f100(x51371),x51372)),f326(f100(x51371),x51372))
% 197.76/197.83 [5138]~P89(x51381)+E(f326(f75(x51381),f326(f75(x51381),x51382)),f326(f75(x51381),x51382))
% 197.76/197.83 [5139]~P89(x51391)+E(f326(f75(x51391),f326(f78(x51391),x51392)),f326(f75(x51391),x51392))
% 197.76/197.83 [5140]~P79(x51401)+E(f326(f165(x51401),f326(f168(x51401),x51402)),f326(f165(x51401),x51402))
% 197.76/197.83 [5145]~E(x51451,f326(a112,f2(a931)))+E(f326(f326(f243(a931),x51451),x51452),f326(a112,f2(a931)))
% 197.76/197.83 [5154]~P80(x51541)+E(f326(f326(f3(x51541),f2(x51541)),x51542),f326(f78(x51541),x51542))
% 197.76/197.83 [5155]~E(x51552,f2(a931))+E(f139(a931,f326(f301(a931,x51551),x51552)),f113(a931))
% 197.76/197.83 [5164]~P98(x51641)+E(f326(f326(f79(x51641),x51642),f326(f103(x51641),a82)),x51642)
% 197.76/197.83 [5165]E(x51651,f2(a1))+E(f47(f326(f75(a1),x51652),f326(f75(a1),x51651)),f53(x51652,x51651))
% 197.76/197.83 [5181]~E(x51811,x51812)+P1(f326(f326(f234(a931),x51811),x51812))
% 197.76/197.83 [5188]~E(x51881,f2(a99))+E(f326(f326(f79(a931),f326(a22,x51881)),x51882),x51882)
% 197.76/197.83 [5202]~P8(x52021)+P8(f326(f326(f243(a1),x52021),x52022))
% 197.76/197.83 [5203]~P99(x52031)+E(f326(f326(f110(x52031),x52032),f326(f78(x52031),x52032)),f241(x52031))
% 197.76/197.83 [5204]~P80(x52041)+E(f326(f326(f79(x52041),x52042),f326(f78(x52041),x52042)),f2(x52041))
% 197.76/197.83 [5205]~P99(x52051)+E(f326(f326(f101(x52051),x52052),f326(f78(x52051),x52052)),f188(x52051))
% 197.76/197.83 [5229]E(x52291,f2(a931))+~E(f326(f78(a1),f326(f100(a1),x52292)),f326(f100(a1),x52291))
% 197.76/197.83 [5230]E(x52301,f2(a931))+~E(f326(f78(a1),f326(f100(a1),x52301)),f326(f100(a1),x52302))
% 197.76/197.83 [5240]E(f194(x52401,x52402),f2(a1))+P1(f326(f326(f234(a1),x52402),x52401))
% 197.76/197.83 [5241]E(f178(x52411,x52412),f113(a1))+P1(f326(f326(f234(a1),x52411),x52412))
% 197.76/197.83 [5242]E(f240(x52421,x52422),f2(a99))+P1(f326(f326(f235(a99),x52421),x52422))
% 197.76/197.83 [5255]E(x52551,f326(a112,f2(a931)))+~E(f326(f326(f80(a931),x52552),x52551),f326(a112,f2(a931)))
% 197.76/197.83 [5256]E(x52561,f326(a112,f2(a931)))+~E(f326(f326(f80(a931),x52561),x52562),f326(a112,f2(a931)))
% 197.76/197.83 [5257]~P109(x52571)+P1(f326(f326(f234(x52571),x52572),x52572))
% 197.76/197.83 [5260]~P98(x52601)+E(f326(f326(f80(x52601),x52602),f326(f103(x52601),a97)),f326(f78(x52601),x52602))
% 197.76/197.83 [5280]~P98(x52801)+E(f326(f78(x52801),f326(f103(x52801),x52802)),f326(f103(x52801),f326(f78(a1),x52802)))
% 197.76/197.83 [5281]~P145(x52811)+E(f326(f78(x52811),f326(f102(x52811),x52812)),f326(f102(x52811),f326(f78(a1),x52812)))
% 197.76/197.83 [5311]~E(x53111,f326(a112,x53112))+P1(f326(f326(f235(a931),f2(a931)),x53111))
% 197.76/197.83 [5329]~P111(x53291)+E(f326(f78(f939(x53291,a927)),f326(f281(x53291),x53292)),f326(f282(x53291),x53292))
% 197.76/197.83 [5330]~P111(x53301)+E(f326(f78(f939(x53301,a927)),f326(f300(x53301),x53302)),f326(f303(x53301),x53302))
% 197.76/197.83 [5331]~P111(x53311)+E(f326(f78(f939(x53311,a927)),f326(f282(x53311),x53312)),f326(f281(x53311),x53312))
% 197.76/197.83 [5332]~P111(x53321)+E(f326(f78(f939(x53321,a927)),f326(f303(x53321),x53322)),f326(f300(x53321),x53322))
% 197.76/197.83 [5340]~E(f326(f100(a1),x53402),x53401)+P1(f326(f326(f234(a1),f2(a1)),x53401))
% 197.76/197.83 [5347]~E(x53472,f2(a1))+E(f53(x53471,x53472),f326(f326(f251(a1,a1),f2(a1)),f326(f75(a1),x53471)))
% 197.76/197.83 [5349]~P2(x53491)+P1(f326(f326(f234(x53491),f188(x53491)),x53492))
% 197.76/197.83 [5382]E(x53821,x53822)+~E(f326(f326(f79(a1),x53821),x53821),f326(f326(f79(a1),x53822),x53822))
% 197.76/197.83 [5386]~P1(f326(x53861,x53862))+P1(f326(x53861,f326(a104,f333(x53861))))
% 197.76/197.83 [5412]~P122(x54121)+E(f326(f326(f80(x54121),f81(x54121,x54122)),f326(f75(x54121),x54122)),x54122)
% 197.76/197.83 [5419]~E(x54192,f2(a931))+E(f84(f938(a931,a931),f48(x54191,x54192)),f326(f326(f251(a931,a931),f2(a931)),x54191))
% 197.76/197.83 [5424]~E(x54241,x54242)+~P1(f326(f326(f235(a931),x54241),x54242))
% 197.76/197.83 [5425]~E(x54251,x54252)+~P1(f326(f326(f235(a1),x54251),x54252))
% 197.76/197.83 [5428]~P148(x54281)+E(f326(f326(f79(x54281),f77(x54281)),f326(f100(x54281),x54282)),f326(f100(x54281),f326(a112,x54282)))
% 197.76/197.83 [5432]~E(x54321,f2(a931))+~P1(f326(f326(f235(a931),x54322),x54321))
% 197.76/197.83 [5446]E(f152(x54461,x54462),x54462)+~E(f326(f189(f932(x54461)),f152(x54461,x54462)),f326(f189(f932(x54461)),x54462))
% 197.76/197.83 [5447]E(f326(f35(x54471),f326(f172(x54471),x54472)),f326(f189(f932(x54471)),x54472))+~P1(f326(f137(x54471),x54472))
% 197.76/197.83 [5462]~P1(f326(x54621,f898(x54621)))+P1(f326(x54621,f326(f100(a1),x54622)))
% 197.76/197.83 [5472]E(f240(x54721,x54722),x54722)+~P1(f326(f326(f235(a99),x54721),x54722))
% 197.76/197.83 [5474]E(f271(x54741,x54742),f77(a99))+~P1(f326(f326(f235(a99),x54742),x54741))
% 197.76/197.83 [5475]E(f178(x54751,x54752),f113(a1))+~P1(f326(f326(f235(a1),x54752),x54751))
% 197.76/197.83 [5476]E(f128(x54761,x54762),f115(a1))+~P1(f326(f326(f235(a1),x54761),x54762))
% 197.76/197.83 [5478]~P112(x54781)+E(f302(x54781,x54782,x54782),f326(f326(f308(x54781),x54782),f188(f939(x54781,a927))))
% 197.76/197.83 [5498]~E(f326(f326(f3(a931),x54981),x54982),f2(a931))+P1(f326(f326(f234(a931),x54981),x54982))
% 197.76/197.83 [5521]~E(x55212,f2(a931))+E(f55(x55211,x55212,f113(x55211)),f326(f326(f151(f932(x55211)),f113(x55211)),f113(f932(x55211))))
% 197.76/197.83 [5525]~P109(x55251)+~P1(f326(f326(f235(x55251),x55252),x55252))
% 197.76/197.83 [5527]~E(f45(a1,x55271,x55272),f2(a1))+E(f45(a1,x55271,f326(f78(a1),x55272)),f2(a1))
% 197.76/197.83 [5529]~E(f45(a1,x55291,x55292),f2(a1))+E(f45(a1,f326(f78(a1),x55291),x55292),f2(a1))
% 197.76/197.83 [5537]E(f326(f301(a931,x55371),f326(a112,x55372)),f188(f939(a931,a927)))+P1(f326(f326(f234(a931),x55371),x55372))
% 197.76/197.83 [5560]E(f139(a931,f326(f301(a931,x55601),x55602)),f113(a931))+P1(f326(f326(f235(a931),x55601),x55602))
% 197.76/197.83 [5565]~E(f326(f35(x55651),f326(f172(x55651),x55652)),f326(f189(f932(x55651)),x55652))+P1(f326(f137(x55651),x55652))
% 197.76/197.83 [5569]~P1(f326(f137(x55691),x55692))+P1(f326(f137(x55691),f326(f167(x55691),x55692)))
% 197.76/197.83 [5570]~P1(f326(f137(x55701),x55702))+P1(f326(f137(x55701),f326(f171(x55701),x55702)))
% 197.76/197.83 [5571]~P1(f326(f137(x55711),x55712))+P1(f326(f137(x55711),f326(f168(x55711),x55712)))
% 197.76/197.83 [5579]P1(f326(x55791,x55792))+~P1(f326(x55791,f326(a104,f334(x55791))))
% 197.76/197.83 [5580]P1(f326(f326(f234(a931),x55802),x55801))+P1(f326(f326(f234(a931),x55801),x55802))
% 197.76/197.83 [5581]P1(f326(f326(f234(a1),x55812),x55811))+P1(f326(f326(f234(a1),x55811),x55812))
% 197.76/197.83 [5585]~P89(x55851)+P1(f326(f326(f234(x55851),x55852),f326(f75(x55851),x55852)))
% 197.76/197.83 [5588]P1(f326(x55881,f922(x55881)))+~P1(f326(x55881,f326(f100(a1),x55882)))
% 197.76/197.83 [5612]E(f326(f326(f3(a931),x56121),x56122),f2(a931))+~P1(f326(f326(f234(a931),x56121),x56122))
% 197.76/197.83 [5613]E(f326(f326(f36(a931),x56131),x56132),f2(a931))+~P1(f326(f326(f235(a931),x56131),x56132))
% 197.76/197.83 [5632]E(f45(a931,x56321,x56322),x56321)+~P1(f326(f326(f235(a931),x56321),x56322))
% 197.76/197.83 [5640]E(f45(a1,x56401,f326(f78(a1),x56402)),f291(x56401,x56402))+P1(f326(f326(f234(a1),f2(a1)),x56402))
% 197.76/197.83 [5652]E(f326(f326(f3(a1),x56521),x56522),f194(x56521,x56522))+~P1(f326(f326(f234(a1),x56522),x56521))
% 197.76/197.83 [5672]P1(f326(f326(f234(a1),f2(a1)),f898(x56721)))+P1(f326(x56721,f326(f100(a1),x56722)))
% 197.76/197.83 [5685]~P114(x56851)+P1(f326(f326(f234(x56851),f2(x56851)),f326(f100(x56851),x56852)))
% 197.76/197.83 [5686]~P89(x56861)+P1(f326(f326(f234(x56861),f2(x56861)),f326(f75(x56861),x56862)))
% 197.76/197.83 [5713]E(f326(f326(f79(a931),x57131),f762(x57132,x57131)),x57132)+~P1(f326(f326(f234(a931),x57131),x57132))
% 197.76/197.83 [5728]E(f302(a1,x57281,x57282),f188(f939(a1,a927)))+~P1(f326(f326(f235(a1),x57282),x57281))
% 197.76/197.83 [5730]~P122(x57301)+E(f326(f326(f80(x57301),f326(f75(x57301),x57302)),f326(f75(x57301),x57302)),f326(f326(f80(x57301),x57302),x57302))
% 197.76/197.83 [5736]E(f139(a931,f326(f301(a931,x57361),f326(a112,x57362))),f113(a931))+P1(f326(f326(f234(a931),x57361),x57362))
% 197.76/197.83 [5740]E(f326(f326(f36(a1),x57401),x57402),f292(x57401,x57402))+~P1(f326(f326(f234(a1),f2(a1)),x57402))
% 197.76/197.83 [5760]P1(f326(f137(x57601),x57602))+~P1(f326(f137(x57601),f326(f167(x57601),x57602)))
% 197.76/197.83 [5761]P1(f326(f137(x57611),x57612))+~P1(f326(f137(x57611),f326(f168(x57611),x57612)))
% 197.76/197.83 [5786]P1(f326(f61(a931),x57861))+P1(f326(f326(f328(a931),f364(x57861,x57862)),x57861))
% 197.76/197.83 [5787]P1(f326(f61(a931),x57871))+P1(f326(f326(f328(a931),f417(x57871,x57872)),x57871))
% 197.76/197.83 [5790]P1(f326(f326(f235(a931),x57902),f326(a112,x57901)))+P1(f326(f326(f235(a931),x57901),x57902))
% 197.76/197.83 [5791]E(f45(a1,x57911,x57912),f291(x57911,x57912))+~P1(f326(f326(f234(a1),f2(a1)),x57912))
% 197.76/197.83 [5795]E(f139(a931,f326(f301(a931,x57951),x57952)),f113(a931))+~P1(f326(f326(f234(a931),x57952),x57951))
% 197.76/197.83 [5796]~P83(x57961)+E(f326(f309(x57961,x57961,f78(x57961)),f326(f281(x57961),x57962)),f326(f303(x57961),f326(f78(x57961),x57962)))
% 197.76/197.83 [5797]~P83(x57971)+E(f326(f309(x57971,x57971,f78(x57971)),f326(f300(x57971),x57972)),f326(f282(x57971),f326(f78(x57971),x57972)))
% 197.76/197.83 [5798]~P83(x57981)+E(f326(f309(x57981,x57981,f78(x57981)),f326(f282(x57981),x57982)),f326(f300(x57981),f326(f78(x57981),x57982)))
% 197.76/197.83 [5799]~P83(x57991)+E(f326(f309(x57991,x57991,f78(x57991)),f326(f303(x57991),x57992)),f326(f281(x57991),f326(f78(x57991),x57992)))
% 197.76/197.83 [5810]E(x58101,f188(f939(x58102,a927)))+P1(f326(f326(f328(x58102),f443(x58101,x58102)),x58101))
% 197.76/197.83 [5811]E(x58111,f188(f939(x58112,a927)))+P1(f326(f326(f328(x58112),f487(x58111,x58112)),x58111))
% 197.76/197.83 [5822]~P1(f326(f326(f235(a931),x58221),x58222))+P1(f326(f326(f234(a931),x58221),x58222))
% 197.76/197.83 [5823]~P1(f326(f326(f235(a1),x58231),x58232))+P1(f326(f326(f234(a1),x58231),x58232))
% 197.76/197.83 [5839]E(f47(x58391,x58392),f326(f326(f251(a1,a1),f2(a1)),x58391))+~P1(f326(f326(f235(a1),x58391),x58392))
% 197.76/197.83 [5841]E(f215(f326(f78(a1),x58411),f326(f78(a1),x58412)),f215(x58411,x58412))+~P1(f326(f326(f235(a1),x58412),f2(a1)))
% 197.76/197.83 [5853]E(x58531,x58532)+~E(f326(a5,f326(a112,f326(a22,x58531))),f326(a5,f326(a112,f326(a22,x58532))))
% 197.76/197.83 [5858]E(f47(x58581,x58582),f326(f326(f251(a1,a1),f2(a1)),x58581))+~P1(f326(f326(f234(a1),x58582),f2(a1)))
% 197.76/197.83 [5887]E(f45(a931,f326(f103(a931),x58871),f326(f103(a931),x58872)),f2(a931))+~P1(f326(a193,f326(f103(a1),x58871)))
% 197.76/197.83 [5901]P1(f326(f326(f234(a1),f2(a1)),f922(x59011)))+~P1(f326(x59011,f326(f100(a1),x59012)))
% 197.76/197.84 [5934]P44(f302(a1,x59341,x59342))+~P1(f326(f326(f234(a1),f2(a1)),x59341))
% 197.76/197.84 [5939]~P1(f326(f61(x59391),x59392))+P1(f326(f61(f939(x59391,a927)),f326(f307(x59391),x59392)))
% 197.76/197.84 [5952]E(f326(f326(f79(a1),x59521),f326(f100(a1),f337(x59522,x59521))),x59522)+~P1(f326(f326(f234(a1),x59521),x59522))
% 197.76/197.84 [5960]P1(f326(f326(f234(a931),x59601),x59602))+P1(f326(f326(f234(a931),f326(a112,x59602)),x59601))
% 197.76/197.84 [6004]E(f326(f326(f36(a931),f326(f103(a931),x60041)),f326(f103(a931),x60042)),f2(a931))+~P1(f326(a193,f326(f103(a1),x60041)))
% 197.76/197.84 [6005]E(f326(f326(f80(a931),f326(f103(a931),x60051)),f326(f103(a931),x60052)),f2(a931))+~P1(f326(f326(f235(a1),x60051),a82))
% 197.76/197.84 [6007]P1(f326(f326(f234(a931),x60071),f326(a112,x60072)))+~P1(f326(f326(f234(a931),x60071),x60072))
% 197.76/197.84 [6009]P1(f326(f326(f235(a931),x60091),f326(a112,x60092)))+~P1(f326(f326(f234(a931),x60091),x60092))
% 197.76/197.84 [6011]P1(f326(f326(f235(a931),x60111),f326(a112,x60112)))+~P1(f326(f326(f235(a931),x60111),x60112))
% 197.76/197.84 [6014]~E(x60141,x60142)+P1(f326(f326(f235(a1),x60141),f326(f326(f79(a1),x60142),f77(a1))))
% 197.76/197.84 [6017]E(f45(a1,x60171,x60172),f2(a1))+E(f326(f326(f3(a1),x60172),f45(a1,x60171,x60172)),f45(a1,f326(f78(a1),x60171),x60172))
% 197.76/197.84 [6026]E(x60261,f113(x60262))+P1(f326(f326(f328(x60262),f144(x60262,x60261)),f326(f172(x60262),x60261)))
% 197.76/197.84 [6038]E(f84(f938(a931,a931),f48(x60381,x60382)),f326(f326(f251(a931,a931),f2(a931)),x60381))+~P1(f326(f326(f235(a931),x60381),x60382))
% 197.76/197.84 [6073]E(f326(f326(f3(a931),f326(f103(a931),x60731)),f326(f103(a931),x60732)),f326(f103(a931),x60731))+~P1(f326(f326(f235(a1),x60732),a82))
% 197.76/197.84 [6074]E(f326(f326(f79(a931),f326(f103(a931),x60741)),f326(f103(a931),x60742)),f326(f103(a931),x60742))+~P1(f326(f326(f235(a1),x60741),a82))
% 197.76/197.84 [6081]E(f326(a112,f326(f326(f79(a931),x60811),f794(x60812,x60811))),x60812)+~P1(f326(f326(f235(a931),x60811),x60812))
% 197.76/197.84 [6108]P1(f326(x61081,x61082))+~P1(f326(x61081,f326(a88,f594(x61082,x61081))))
% 197.76/197.84 [6109]P1(f326(x61091,x61092))+~P1(f326(x61091,f326(a5,f829(x61092,x61091))))
% 197.76/197.84 [6118]~P1(f326(f326(f235(a931),x61181),f326(a112,x61182)))+P1(f326(f326(f234(a931),x61181),x61182))
% 197.76/197.84 [6168]E(f326(f326(f308(a931),x61681),f326(f301(a931,x61682),x61681)),f326(f301(a931,x61682),f326(a112,x61681)))+~P1(f326(f326(f234(a931),x61682),x61681))
% 197.76/197.84 [6170]E(x61701,f113(x61702))+E(f326(f326(f134(x61702),f114(x61702,x61701)),f326(f326(f151(x61702),f144(x61702,x61701)),f113(x61702))),x61701)
% 197.76/197.84 [6187]P1(f326(f61(x61871),x61872))+~P1(f326(f326(f235(a931),f2(a931)),f326(f35(x61871),x61872)))
% 197.76/197.84 [6191]~E(x61911,f188(f939(x61912,a927)))+~P1(f326(f326(f235(a931),f2(a931)),f326(f35(x61912),x61911)))
% 197.76/197.84 [6203]~P1(f326(f326(f235(a931),x62031),x62032))+P1(f326(f326(f234(a931),f326(a112,x62031)),x62032))
% 197.76/197.84 [6207]~P111(x62071)+E(f150(x62071,x62071,f7(x62071),f152(x62071,x62072)),f139(x62071,f326(f172(x62071),x62072)))
% 197.76/197.84 [6210]E(x62101,f113(x62102))+P1(f326(f326(f328(x62102),f326(f141(x62102),x62101)),f326(f172(x62102),x62101)))
% 197.76/197.84 [6216]~P114(x62161)+P1(f326(f326(f235(x62161),x62162),f326(f326(f79(x62161),x62162),f77(x62161))))
% 197.76/197.84 [6218]~P89(x62181)+P1(f326(f326(f234(x62181),f326(f78(x62181),x62182)),f326(f75(x62181),x62182)))
% 197.76/197.84 [6232]~E(x62321,x62322)+E(f289(a931,f286(a931),x62321,x62322),f326(f326(f308(a931),x62321),f188(f939(a931,a927))))
% 197.76/197.84 [6250]P1(f326(f61(a931),x62501))+~P1(f326(f326(f234(a931),f417(x62501,x62502)),x62502))
% 197.76/197.84 [6251]P1(f326(f61(a931),x62511))+~P1(f326(f326(f235(a931),f364(x62511,x62512)),x62512))
% 197.76/197.84 [6254]~P1(f326(f61(f938(x62541,x62541)),x62542))+P1(f326(f61(x62541),f326(f280(x62541),x62542)))
% 197.76/197.84 [6308]E(f289(a931,f286(a931),x63081,x63082),f188(f939(a931,a927)))+P1(f326(f326(f286(a931),x63081),x63082))
% 197.76/197.84 [6314]~P1(f326(f326(f235(a931),x63142),f326(a112,x63141)))+~P1(f326(f326(f235(a931),x63141),x63142))
% 197.76/197.84 [6315]~P112(x63151)+E(f326(f326(f101(f939(x63151,a927)),f326(f300(x63151),x63152)),f326(f282(x63151),x63152)),f326(f326(f308(x63151),x63152),f188(f939(x63151,a927))))
% 197.76/197.84 [6327]P1(f326(f61(x63271),x63272))+~P1(f326(f61(f939(x63271,a927)),f326(f307(x63271),x63272)))
% 197.76/197.84 [6350]P1(f326(f326(f234(a931),f326(a112,x63501)),f326(a112,x63502)))+~P1(f326(f326(f234(a931),x63501),x63502))
% 197.76/197.84 [6351]P1(f326(f326(f234(a931),f326(a22,x63511)),f326(a22,x63512)))+~P1(f326(f326(f234(a99),x63511),x63512))
% 197.76/197.84 [6352]P1(f326(f326(f234(a99),f326(a5,x63521)),f326(a5,x63522)))+~P1(f326(f326(f234(a931),x63521),x63522))
% 197.76/197.84 [6354]P1(f326(f326(f235(a931),f326(a112,x63541)),f326(a112,x63542)))+~P1(f326(f326(f235(a931),x63541),x63542))
% 197.76/197.84 [6355]P1(f326(f326(f235(a931),f326(a22,x63551)),f326(a22,x63552)))+~P1(f326(f326(f235(a99),x63551),x63552))
% 197.76/197.84 [6356]P1(f326(f326(f235(a99),f326(a5,x63561)),f326(a5,x63562)))+~P1(f326(f326(f235(a931),x63561),x63562))
% 197.76/197.84 [6361]E(x63611,x63612)+~E(f326(f309(a931,a1,f100(a1)),x63611),f326(f309(a931,a1,f100(a1)),x63612))
% 197.76/197.84 [6377]P1(f326(f326(f234(a931),x63771),x63772))+~P1(f326(f326(f234(a931),f326(a112,x63771)),x63772))
% 197.76/197.84 [6380]P1(f326(f326(f235(a931),x63801),x63802))+~P1(f326(f326(f234(a931),f326(a112,x63801)),x63802))
% 197.76/197.84 [6381]P1(f326(f326(f235(a931),x63811),x63812))+~P1(f326(f326(f235(a931),f326(a112,x63811)),x63812))
% 197.76/197.84 [6399]E(f45(a1,x63991,x63992),f2(a1))+E(f326(f326(f3(a1),f45(a1,x63991,x63992)),x63992),f45(a1,x63991,f326(f78(a1),x63992)))
% 197.76/197.84 [6464]E(f326(f35(f939(x64641,a927)),f326(f307(x64641),x64642)),f326(f326(f243(a931),f326(a112,f326(a112,f2(a931)))),f326(f35(x64641),x64642)))+~P1(f326(f61(x64641),x64642))
% 197.76/197.84 [6467]E(x64671,f113(x64672))+E(f326(f326(f164(x64672),x64671),f326(f326(f3(a931),f326(f189(f932(x64672)),x64671)),f77(a931))),f144(x64672,x64671))
% 197.76/197.84 [6489]E(x64891,f113(x64892))+E(f326(f326(f134(x64892),f326(f171(x64892),x64891)),f326(f326(f151(x64892),f326(f141(x64892),x64891)),f113(x64892))),f326(f167(x64892),x64891))
% 197.76/197.84 [6519]~P1(f326(f61(x65191),f37(f939(x65191,a927),x65192)))+P1(f326(f61(f939(x65191,a927)),x65192))
% 197.76/197.84 [6541]P1(f326(f326(f234(a931),f326(f103(a931),x65411)),f326(f103(a931),x65412)))+~P1(f326(f326(f234(a1),x65411),a82))
% 197.76/197.84 [6562]~P1(f326(f326(f235(a1),x65621),x65622))+P1(f326(f326(f234(a1),x65621),f326(f326(f3(a1),x65622),f77(a1))))
% 197.76/197.84 [6563]~P1(f326(f326(f234(a1),x65631),x65632))+P1(f326(f326(f235(a1),x65631),f326(f326(f79(a1),x65632),f77(a1))))
% 197.76/197.84 [6564]~P1(f326(f326(f235(a1),x65641),x65642))+P1(f326(f326(f235(a1),x65641),f326(f326(f79(a1),x65642),f77(a1))))
% 197.76/197.84 [6566]~P1(f326(f326(f234(a1),x65661),x65662))+P1(f326(f326(f234(a931),f326(f103(a931),x65661)),f326(f103(a931),x65662)))
% 197.76/197.84 [6567]~P1(f326(f326(f234(a1),x65671),x65672))+P1(f326(f326(f234(a1),f326(f103(a1),x65671)),f326(f103(a1),x65672)))
% 197.76/197.84 [6569]~P1(f326(f326(f234(a931),x65691),x65692))+P1(f326(f326(f234(a1),f326(f100(a1),x65691)),f326(f100(a1),x65692)))
% 197.76/197.84 [6570]~P1(f326(f326(f235(a1),x65701),x65702))+P1(f326(f326(f235(a1),f326(f103(a1),x65701)),f326(f103(a1),x65702)))
% 197.76/197.84 [6572]~P1(f326(f326(f235(a931),x65721),x65722))+P1(f326(f326(f235(a1),f326(f100(a1),x65721)),f326(f100(a1),x65722)))
% 197.76/197.84 [6593]~P1(f326(f326(f234(a931),x65931),x65932))+~P1(f326(f326(f234(a931),f326(a112,x65932)),x65931))
% 197.76/197.84 [6635]~P1(f326(f326(f234(a931),f326(a112,x66351)),f326(a112,x66352)))+P1(f326(f326(f234(a931),x66351),x66352))
% 197.76/197.84 [6636]~P1(f326(f326(f234(a99),f326(a5,x66361)),f326(a5,x66362)))+P1(f326(f326(f234(a931),x66361),x66362))
% 197.76/197.84 [6637]~P1(f326(f326(f234(a931),f326(a22,x66371)),f326(a22,x66372)))+P1(f326(f326(f234(a99),x66371),x66372))
% 197.76/197.84 [6639]~P1(f326(f326(f235(a931),f326(a112,x66391)),f326(a112,x66392)))+P1(f326(f326(f235(a931),x66391),x66392))
% 197.76/197.84 [6640]~P1(f326(f326(f235(a99),f326(a5,x66401)),f326(a5,x66402)))+P1(f326(f326(f235(a931),x66401),x66402))
% 197.76/197.84 [6641]~P1(f326(f326(f235(a931),f326(a104,x66411)),f326(a104,x66412)))+P1(f326(f326(f235(a1),x66411),x66412))
% 197.76/197.84 [6642]~P1(f326(f326(f235(a931),f326(a22,x66421)),f326(a22,x66422)))+P1(f326(f326(f235(a99),x66421),x66422))
% 197.76/197.84 [6683]~P1(f326(f326(f235(a931),f326(a104,x66832)),f326(a104,x66831)))+P1(f326(f326(f235(a1),f2(a1)),x66831))
% 197.76/197.84 [6715]P1(f326(f326(f234(a1),f2(a1)),f45(a1,x67151,x67152)))+~P1(f326(f326(f235(a1),f2(a1)),x67152))
% 197.76/197.84 [6875]P41(x68751,x68752)+~E(f326(f326(f288(x68751,x68751,x68751),x68752),x68752),f188(f939(f938(x68751,x68751),a927)))
% 197.76/197.84 [6889]~P41(x68891,x68892)+P41(x68891,f326(f326(f288(x68891,x68891,x68891),x68892),x68892))
% 197.76/197.84 [6900]P1(f326(f326(f234(a1),x69001),x69002))+~P1(f326(f326(f235(a1),x69001),f326(f326(f79(a1),x69002),f77(a1))))
% 197.76/197.84 [6901]P1(f326(f326(f235(a1),x69011),x69012))+~P1(f326(f326(f234(a1),x69011),f326(f326(f3(a1),x69012),f77(a1))))
% 197.76/197.84 [6904]P1(f326(f326(f234(a931),x69041),x69042))+~P1(f326(f326(f234(a1),f326(f100(a1),x69041)),f326(f100(a1),x69042)))
% 197.76/197.84 [6905]P1(f326(f326(f234(a1),x69051),x69052))+~P1(f326(f326(f234(a1),f326(f103(a1),x69051)),f326(f103(a1),x69052)))
% 197.76/197.84 [6907]P1(f326(f326(f235(a931),x69071),x69072))+~P1(f326(f326(f235(a1),f326(f100(a1),x69071)),f326(f100(a1),x69072)))
% 197.76/197.84 [6908]P1(f326(f326(f235(a1),x69081),x69082))+~P1(f326(f326(f235(a931),f326(f103(a931),x69081)),f326(f103(a931),x69082)))
% 197.76/197.84 [6909]P1(f326(f326(f235(a1),x69091),x69092))+~P1(f326(f326(f235(a1),f326(f103(a1),x69091)),f326(f103(a1),x69092)))
% 197.76/197.84 [6980]~E(f289(a931,f286(a931),x69801,x69802),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x69801),x69802))
% 197.76/197.84 [7004]~E(f708(x70042,x70041),f113(x70041))+E(f326(f142(f932(x70041),f932(x70041),f134(x70041),f113(x70041)),x70042),f113(x70041))
% 197.76/197.84 [7005]~E(f714(x70052,x70051),f113(x70051))+E(f326(f142(f932(x70051),f932(x70051),f134(x70051),f113(x70051)),x70052),f113(x70051))
% 197.76/197.84 [7010]~P7(x70101)+E(f326(f142(x70101,x70101,f110(x70101),f188(x70101)),x70102),f37(x70101,f326(f172(x70101),x70102)))
% 197.76/197.84 [7011]~P7(x70111)+E(f326(f142(x70111,x70111,f101(x70111),f241(x70111)),x70112),f38(x70111,f326(f172(x70111),x70112)))
% 197.76/197.84 [7025]E(x70251,f2(a99))+E(f326(f326(f79(a931),f326(a22,f326(f326(f3(a99),x70251),f77(a99)))),f326(a112,x70252)),f326(f326(f79(a931),f326(a22,x70251)),x70252))
% 197.76/197.84 [7074]P1(f326(f326(f235(a1),f326(f326(f3(a1),x70741),x70742)),f2(a1)))+~P1(f326(f326(f235(a1),x70741),x70742))
% 197.76/197.84 [7099]~P111(x70991)+E(f326(f326(f110(f939(x70991,a927)),f326(f326(f308(x70991),x70992),f188(f939(x70991,a927)))),f326(f303(x70991),x70992)),f326(f282(x70991),x70992))
% 197.76/197.84 [7176]~P64(x71761,x71762)+P41(x71761,f326(f261(f938(x71761,x71761)),f326(f256(x71761,x71761,a927),x71762)))
% 197.76/197.84 [7177]~P64(x71771,x71772)+P62(x71771,f326(f261(f938(x71771,x71771)),f326(f256(x71771,x71771,a927),x71772)))
% 197.76/197.84 [7178]~P54(x71781,x71782)+P42(x71781,f326(f261(f938(x71781,x71781)),f326(f256(x71781,x71781,a927),x71782)))
% 197.76/197.84 [7179]~P55(x71791,x71792)+P56(x71791,f326(f261(f938(x71791,x71791)),f326(f256(x71791,x71791,a927),x71792)))
% 197.76/197.84 [7180]E(x71801,f188(f939(x71802,a927)))+~P1(f326(f326(f234(f939(x71802,a927)),x71801),f188(f939(x71802,a927))))
% 197.76/197.84 [7261]~P1(f326(f326(f235(a931),f2(a931)),x72612))+P1(f326(f326(f234(a931),f45(a931,x72611,x72612)),x72612))
% 197.76/197.84 [7262]~P1(f326(f326(f234(a1),f2(a1)),x72621))+P1(f326(f326(f234(a1),f45(a1,x72621,x72622)),x72621))
% 197.76/197.84 [7263]~P1(f326(f326(f235(a931),f2(a931)),x72632))+P1(f326(f326(f235(a931),f45(a931,x72631,x72632)),x72632))
% 197.76/197.84 [7265]~P1(f326(f326(f235(a1),f2(a1)),x72652))+P1(f326(f326(f235(a1),f45(a1,x72651,x72652)),x72652))
% 197.76/197.84 [7343]~P112(x73431)+E(f326(f326(f3(f939(x73431,a927)),f326(f326(f308(x73431),x73432),f188(f939(x73431,a927)))),f326(f281(x73431),x73432)),f326(f326(f308(x73431),x73432),f188(f939(x73431,a927))))
% 197.76/197.84 [7418]~P48(x74181,x74182)+P57(x74181,f241(f939(x74181,a927)),f326(f261(f938(x74181,x74181)),f326(f256(x74181,x74181,a927),x74182)))
% 197.76/197.84 [7419]P1(f326(x74191,x74192))+P1(f326(f326(f328(f939(f938(a931,a931),a927)),f594(x74192,x74191)),a98))
% 197.76/197.84 [7464]E(f326(f326(f134(a931),f139(a931,f326(f301(a931,x74641),x74642))),f326(f326(f151(a931),x74642),f113(a931))),f139(a931,f326(f301(a931,x74641),f326(a112,x74642))))+~P1(f326(f326(f234(a931),x74641),x74642))
% 197.76/197.84 [7620]E(x76201,f2(a931))+~E(f326(f142(a931,a931,f79(a931),x76201),x76202),f2(a931))
% 197.76/197.84 [7646]~P1(f326(f326(f235(a1),f326(f326(f3(a1),x76461),x76462)),f2(a1)))+P1(f326(f326(f235(a1),x76461),x76462))
% 197.76/197.84 [7673]P41(x76731,x76732)+~P41(x76731,f326(f326(f288(x76731,x76731,x76731),x76732),x76732))
% 197.76/197.84 [7702]~P1(f326(f326(f234(a931),f326(a112,x77021)),x77022))+P1(f185(a927,a238,f326(f234(a931),x77021),x77022))
% 197.76/197.84 [7859]P27(a931,a931,f326(f326(f9(a931,a931,a931),f3(a931)),x78591),x78592)+P1(f326(f326(f328(a931),f595(x78591,x78592)),x78592))
% 197.76/197.84 [7917]E(f326(f326(f326(f65(a931,x79171,f79(a931)),f326(f18(a931,x79171),f77(a931))),f2(a931)),x79172),f326(f35(x79171),x79172))+~P1(f326(f61(x79171),x79172))
% 197.76/197.84 [7958]P27(a931,a931,f326(f326(f9(a931,a931,a931),f3(a931)),x79581),x79582)+~P1(f326(f326(f234(a931),x79581),f595(x79581,x79582)))
% 197.76/197.84 [8013]P41(x80131,x80132)+P1(f326(f326(f234(f939(x80131,a927)),f592(x80132,x80131)),f326(f284(x80131,x80131,x80132),f592(x80132,x80131))))
% 197.76/197.84 [8018]P64(x80181,x80182)+~P41(x80181,f326(f261(f938(x80181,x80181)),f326(f256(x80181,x80181,a927),x80182)))
% 197.76/197.84 [8019]P54(x80191,x80192)+~P42(x80191,f326(f261(f938(x80191,x80191)),f326(f256(x80191,x80191,a927),x80192)))
% 197.76/197.84 [8020]P55(x80201,x80202)+~P56(x80201,f326(f261(f938(x80201,x80201)),f326(f256(x80201,x80201,a927),x80202)))
% 197.76/197.84 [8092]P1(f326(f326(f234(a931),f326(a112,x80921)),x80922))+~P1(f185(a927,a238,f326(f234(a931),x80921),x80922))
% 197.76/197.84 [8149]P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x81491),x81492)),f306(a931,a316)))+~P1(f326(f326(f234(a931),x81491),x81492))
% 197.76/197.84 [8246]P48(x82461,x82462)+~P57(x82461,f241(f939(x82461,a927)),f326(f261(f938(x82461,x82461)),f326(f256(x82461,x82461,a927),x82462)))
% 197.76/197.84 [8304]~P1(f326(f137(x83041),x83042))+P1(f326(f137(f939(x83041,a927)),f326(f326(f154(f932(x83041),f939(x83041,a927)),f172(x83041)),f54(x83041,x83042))))
% 197.76/197.84 [8505]~P41(x85051,f326(f285(x85051,x85051),x85052))+P41(x85051,f326(f285(x85051,x85051),f326(f326(f288(x85051,x85051,x85051),x85052),f306(x85051,x85052))))
% 197.76/197.84 [8603]P28(x86031,a931,f834(x86032,x86031),x86032,f326(f301(a931,f2(a931)),f326(f35(x86031),x86032)))+~P1(f326(f61(x86031),x86032))
% 197.76/197.84 [8604]P28(a931,x86041,f835(x86042,x86041),f326(f301(a931,f2(a931)),f326(f35(x86041),x86042)),x86042)+~P1(f326(f61(x86041),x86042))
% 197.76/197.84 [8621]P28(a931,x86211,f836(x86212,x86211),f302(a931,f77(a931),f326(f35(x86211),x86212)),x86212)+~P1(f326(f61(x86211),x86212))
% 197.76/197.84 [8630]P1(f326(f61(f938(x86301,x86301)),f326(f326(f288(x86301,x86301,x86301),x86302),f306(x86301,x86302))))+~P1(f326(f61(f938(x86301,x86301)),x86302))
% 197.76/197.84 [8658]E(x86581,f2(a1))+P1(f326(f49(x86582,x86581),f326(f326(f251(a1,a1),f326(f326(f36(a1),x86582),x86581)),f45(a1,x86582,x86581))))
% 197.76/197.84 [8671]~P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x86711),x86712)),f306(a931,a316)))+P1(f326(f326(f234(a931),x86711),x86712))
% 197.76/197.84 [8687]~P86(x86871)+E(f326(f142(x86871,x86871,f326(f9(x86871,x86871,x86871),f79(x86871)),f2(x86871)),f326(f168(x86871),x86872)),f326(f142(x86871,x86871,f79(x86871),f2(x86871)),x86872))
% 197.76/197.84 [8858]~P111(x88581)+E(f326(f142(f932(x88581),x88581,f326(f9(x88581,f932(x88581),f932(x88581)),f148(x88581,x88581,f7(x88581))),f113(x88581)),x88582),f150(x88581,x88581,f7(x88581),x88582))
% 197.76/197.84 [8969]~P62(x89691,f326(f261(f938(x89691,x89691)),f326(f256(x89691,x89691,a927),x89692)))+P62(x89691,f326(f261(f938(x89691,x89691)),f326(f256(x89691,x89691,a927),f242(x89691,x89691,x89692))))
% 197.76/197.84 [8983]P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x89831),x89832)),f326(f326(f288(a931,a931,a931),a316),f306(a931,a316))))+~P1(f326(f326(f235(a931),x89831),x89832))
% 197.76/197.84 [9029]~P1(f326(f61(f938(x90291,x90291)),f326(f326(f288(x90291,x90291,x90291),x90292),f306(x90291,x90292))))+P1(f326(f61(f938(x90291,x90291)),x90292))
% 197.76/197.84 [9088]~P62(x90881,f326(f261(f938(x90881,x90881)),f326(f256(x90881,x90881,a927),f242(x90881,x90881,x90882))))+P62(x90881,f326(f261(f938(x90881,x90881)),f326(f256(x90881,x90881,a927),x90882)))
% 197.76/197.84 [9286]P62(x92861,x92862)+P1(f326(f326(f328(f938(x92861,x92861)),f326(f326(f251(x92861,x92861),f626(x92862,x92861)),f626(x92862,x92861))),f326(f326(f288(x92861,x92861,x92861),x92862),f306(x92861,x92862))))
% 197.76/197.84 [9287]P62(x92871,x92872)+P1(f326(f326(f328(f938(x92871,x92871)),f326(f326(f251(x92871,x92871),f637(x92872,x92871)),f637(x92872,x92871))),f326(f326(f288(x92871,x92871,x92871),x92872),f306(x92871,x92872))))
% 197.76/197.84 [9404]~P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x94041),x94042)),f326(f326(f288(a931,a931,a931),a316),f306(a931,a316))))+P1(f326(f326(f235(a931),x94041),x94042))
% 197.76/197.84 [5325]~P98(x53251)+E(f326(f326(f79(x53251),f326(f103(x53251),a82)),x53252),x53252)
% 197.76/197.84 [5354]~P99(x53541)+E(f326(f326(f110(x53541),f326(f78(x53541),x53542)),x53542),f241(x53541))
% 197.76/197.84 [5355]~P72(x53551)+E(f326(f326(f79(x53551),f326(f78(x53551),x53552)),x53552),f2(x53551))
% 197.76/197.84 [5356]~P80(x53561)+E(f326(f326(f79(x53561),f326(f78(x53561),x53562)),x53562),f2(x53561))
% 197.76/197.84 [5357]~P99(x53571)+E(f326(f326(f101(x53571),f326(f78(x53571),x53572)),x53572),f188(x53571))
% 197.76/197.84 [5390]~P98(x53901)+E(f326(f326(f80(x53901),f326(f103(x53901),a97)),x53902),f326(f78(x53901),x53902))
% 197.76/197.84 [5552]~P117(x55521)+E(f326(f326(f80(x55521),f326(f78(x55521),f77(x55521))),x55522),f326(f78(x55521),x55522))
% 197.76/197.84 [5597]E(f326(f75(a1),x55971),f77(a1))+~E(f326(f75(a1),f326(f326(f80(a1),x55971),x55972)),f77(a1))
% 197.76/197.84 [5688]~P98(x56881)+E(f326(f326(f79(x56881),f77(x56881)),f326(f103(x56881),x56882)),f326(f103(x56881),f326(f326(f3(a1),x56882),a97)))
% 197.76/197.84 [5741]~P3(x57411)+E(f12(x57411,f326(f326(f308(x57411),x57412),f188(f939(x57411,a927)))),x57412)
% 197.76/197.84 [5742]~P3(x57421)+E(f13(x57421,f326(f326(f308(x57421),x57422),f188(f939(x57421,a927)))),x57422)
% 197.76/197.84 [5743]~P7(x57431)+E(f37(x57431,f326(f326(f308(x57431),x57432),f188(f939(x57431,a927)))),x57432)
% 197.76/197.84 [5744]~P7(x57441)+E(f38(x57441,f326(f326(f308(x57441),x57442),f188(f939(x57441,a927)))),x57442)
% 197.76/197.84 [5745]~P111(x57451)+E(f16(x57451,f326(f326(f308(x57451),x57452),f188(f939(x57451,a927)))),x57452)
% 197.76/197.84 [5746]~P111(x57461)+E(f17(x57461,f326(f326(f308(x57461),x57462),f188(f939(x57461,a927)))),x57462)
% 197.76/197.84 [5768]E(f326(f326(f79(a931),x57681),f326(f326(f3(a931),x57682),x57681)),x57682)+P1(f326(f326(f235(a931),x57682),x57681))
% 197.76/197.84 [5805]E(x58051,f113(x58052))+P1(f326(f326(f235(a931),f2(a931)),f326(f189(f932(x58052)),x58051)))
% 197.76/197.84 [5931]~P111(x59311)+E(f14(x59311,f232(x59311),f326(f326(f308(x59311),x59312),f188(f939(x59311,a927)))),x59312)
% 197.76/197.84 [5932]~P111(x59321)+E(f15(x59321,f233(x59321),f326(f326(f308(x59321),x59322),f188(f939(x59321,a927)))),x59322)
% 197.76/197.84 [5993]E(f326(f326(f3(a931),x59931),f326(f326(f3(a931),x59931),x59932)),x59932)+~P1(f326(f326(f234(a931),x59932),x59931))
% 197.76/197.84 [5994]E(f326(f326(f79(a931),x59941),f326(f326(f3(a931),x59942),x59941)),x59942)+~P1(f326(f326(f234(a931),x59941),x59942))
% 197.76/197.84 [6016]E(f45(a931,f326(f326(f3(a931),x60161),x60162),x60162),f45(a931,x60161,x60162))+P1(f326(f326(f235(a931),x60161),x60162))
% 197.76/197.84 [6027]E(f326(f78(a1),f326(f326(f36(a1),x60271),f326(f78(a1),x60272))),f292(x60271,x60272))+P1(f326(f326(f234(a1),f2(a1)),x60272))
% 197.76/197.84 [6029]~E(x60292,f2(a931))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f243(a931),x60291),x60292)))
% 197.76/197.84 [6085]~P98(x60851)+E(f326(f326(f79(x60851),f326(f78(x60851),f77(x60851))),f326(f103(x60851),x60852)),f326(f103(x60851),f326(f326(f79(a1),x60852),a97)))
% 197.76/197.84 [6087]E(f326(f326(f243(a931),f326(f103(a931),x60871)),x60872),f326(f326(f243(a931),f2(a931)),x60872))+~P1(f326(a193,f326(f103(a1),x60871)))
% 197.76/197.84 [6195]E(f326(f141(a931),f139(a931,f326(f301(a931,x61951),x61952))),x61951)+~P1(f326(f326(f235(a931),x61951),x61952))
% 197.76/197.84 [6211]E(f326(f326(f80(a931),f326(f103(a931),x62111)),f326(f103(a931),x62112)),f326(f103(a931),f326(f326(f80(a1),x62111),x62112)))+P1(f326(f326(f235(a1),x62111),a82))
% 197.76/197.84 [6217]~P129(x62171)+P1(f326(f326(f234(x62171),f2(x62171)),f326(f326(f80(x62171),x62172),x62172)))
% 197.76/197.84 [6229]E(f326(f326(f3(a931),f326(a112,x62291)),x62292),f326(a112,f326(f326(f3(a931),x62291),x62292)))+~P1(f326(f326(f234(a931),x62292),x62291))
% 197.76/197.84 [6233]E(f45(a931,f326(f326(f3(a931),x62331),x62332),x62332),f45(a931,x62331,x62332))+~P1(f326(f326(f234(a931),x62332),x62331))
% 197.76/197.84 [6285]E(f326(f326(f243(a931),f326(a104,x62851)),x62852),f326(a104,f326(f326(f243(a1),x62851),x62852)))+~P1(f326(f326(f234(a1),f2(a1)),x62851))
% 197.76/197.84 [6303]P1(f326(f137(x63031),x63032))+P1(f326(f326(f235(a931),f679(x63032,x63031)),f326(f189(f932(x63031)),x63032)))
% 197.76/197.84 [6304]P1(f326(f137(x63041),x63042))+P1(f326(f326(f235(a931),f683(x63042,x63041)),f326(f189(f932(x63041)),x63042)))
% 197.76/197.84 [6321]~E(x63211,f113(x63212))+~P1(f326(f326(f235(a931),f2(a931)),f326(f189(f932(x63212)),x63211)))
% 197.76/197.84 [6332]E(f144(a931,f139(a931,f326(f301(a931,x63321),x63322))),f326(f326(f3(a931),x63322),f77(a931)))+~P1(f326(f326(f235(a931),x63321),x63322))
% 197.76/197.84 [6335]E(f326(f326(f79(a1),x63351),f326(f100(a1),f326(a112,f338(x63352,x63351)))),x63352)+~P1(f326(f326(f235(a1),x63351),x63352))
% 197.76/197.84 [6342]E(x63421,f2(a931))+E(f326(f326(f80(a931),x63422),f326(f326(f243(a931),x63422),f326(f326(f3(a931),x63421),f77(a931)))),f326(f326(f243(a931),x63422),x63421))
% 197.76/197.84 [6371]E(f326(f326(f80(a931),f326(a104,x63711)),f326(a104,x63712)),f326(a104,f326(f326(f80(a1),x63711),x63712)))+~P1(f326(f326(f234(a1),f2(a1)),x63711))
% 197.76/197.84 [6372]E(f326(f326(f36(a931),f326(a104,x63721)),f326(a104,x63722)),f326(a104,f326(f326(f36(a1),x63721),x63722)))+~P1(f326(f326(f234(a1),f2(a1)),x63721))
% 197.76/197.84 [6386]~P115(x63861)+E(f326(f326(f79(x63861),x63862),x63862),f326(f326(f80(x63861),f326(f326(f79(x63861),f77(x63861)),f77(x63861))),x63862))
% 197.76/197.84 [6408]E(f326(f326(f3(a1),f326(f100(a1),x64081)),f326(f100(a1),x64082)),f326(f100(a1),f326(f326(f3(a931),x64081),x64082)))+~P1(f326(f326(f234(a931),x64082),x64081))
% 197.76/197.84 [6410]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x64101),x64102)),f50(x64101,x64102))+~P1(f326(f326(f234(a1),x64102),f2(a1)))
% 197.76/197.84 [6442]E(f179(x64421,x64422),f113(f932(x64421)))+P1(f326(f326(f328(f932(x64421)),f678(x64422,x64421)),f326(f172(f932(x64421)),x64422)))
% 197.76/197.84 [6451]E(f116(a1,f326(f129(a1),x64511),f128(x64512,f326(f326(f79(a1),x64511),f77(a1)))),f128(x64512,x64511))+P1(f326(f326(f235(a1),x64512),x64511))
% 197.76/197.84 [6525]E(f326(f326(f151(a1),x65251),f178(f326(f326(f79(a1),x65251),f77(a1)),x65252)),f178(x65251,x65252))+~P1(f326(f326(f234(a1),x65251),x65252))
% 197.76/197.84 [6565]~P1(f326(f326(f235(a931),x65652),x65651))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f3(a931),x65651),x65652)))
% 197.76/197.84 [6598]~P1(f326(f326(f235(a931),x65981),f326(a104,x65982)))+P1(f326(f326(f235(a1),f326(f100(a1),x65981)),x65982))
% 197.76/197.84 [6626]~P111(x66261)+E(f326(f326(f110(f939(x66261,a927)),f326(f281(x66261),x66262)),f326(f326(f308(x66261),x66262),f188(f939(x66261,a927)))),f326(f300(x66261),x66262))
% 197.76/197.84 [6627]~P1(f326(f326(f234(a1),f2(a1)),x66271))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),x66271),x66272)))
% 197.76/197.84 [6630]~P1(f326(f326(f235(a931),f2(a931)),x66301))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f243(a931),x66301),x66302)))
% 197.76/197.84 [6658]~E(f326(x66581,f2(a931)),f2(a931))+E(f326(f326(f8(a931,a931),x66581),f302(a931,f326(a112,f2(a931)),x66582)),f326(f326(f8(a931,a931),x66581),f302(a931,f2(a931),x66582)))
% 197.76/197.84 [6723]~P98(x67231)+E(f326(f326(f80(x67231),f326(f326(f79(x67231),f77(x67231)),f77(x67231))),f326(f103(x67231),x67232)),f326(f103(x67231),f326(f326(f79(a1),x67232),x67232)))
% 197.76/197.84 [6740]E(f326(f326(f308(a1),x67401),f302(a1,f326(f326(f79(a1),x67401),f77(a1)),x67402)),f302(a1,x67401,x67402))+P1(f326(f326(f235(a1),x67402),x67401))
% 197.76/197.84 [6741]P1(f326(f326(f235(a931),x67411),f326(a104,x67412)))+~P1(f326(f326(f235(a1),f326(f100(a1),x67411)),x67412))
% 197.76/197.84 [6843]E(f326(a104,f326(f326(f36(a1),f326(f103(a1),x68431)),f326(f103(a1),x68432))),f326(f326(f36(a931),f326(f103(a931),x68431)),f326(f103(a931),x68432)))+P1(f326(a193,f326(f103(a1),x68431)))
% 197.76/197.84 [6902]P1(f326(f326(f235(a931),x69021),x69022))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f3(a931),x69022),x69021)))
% 197.76/197.84 [6945]P1(f326(f326(f235(a931),f2(a931)),x69451))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f80(a931),x69452),x69451)))
% 197.76/197.84 [6946]P1(f326(f326(f235(a931),f2(a931)),x69461))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f80(a931),x69461),x69462)))
% 197.76/197.84 [6964]~P1(f326(f326(f234(a1),x69641),f2(a1)))+E(f326(f326(f80(a931),f326(a104,f326(f78(a1),x69641))),f326(a104,f326(f78(a1),x69642))),f326(a104,f326(f326(f80(a1),x69641),x69642)))
% 197.76/197.84 [7022]~E(x70222,f188(f939(x70221,a927)))+P1(f326(f326(f234(f939(x70221,a927)),x70222),f326(f78(f939(x70221,a927)),x70222)))
% 197.76/197.84 [7084]~P98(x70841)+E(f326(f326(f79(x70841),f326(f326(f79(x70841),f2(x70841)),f326(f103(x70841),x70842))),f326(f103(x70841),x70842)),f326(f103(x70841),f326(f326(f79(a1),x70842),x70842)))
% 197.76/197.84 [7140]~P1(f326(f326(f235(a1),x71401),x71402))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x71401),f77(a1))),x71402))
% 197.76/197.84 [7207]E(x72071,f2(a931))+~P1(f326(f326(f234(a1),f326(f100(a1),x72072)),f326(f78(a1),f326(f100(a1),x72071))))
% 197.76/197.84 [7208]E(x72081,f2(a931))+~P1(f326(f326(f234(a1),f326(f100(a1),x72081)),f326(f78(a1),f326(f100(a1),x72082))))
% 197.76/197.84 [7311]E(f326(f326(f251(a1,a1),f326(f103(a1),a97)),f326(f326(f79(a1),x73111),x73112)),f50(x73111,x73112))+~P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x73111),x73112)))
% 197.76/197.84 [7355]~P29(x73551,x73552)+P41(x73551,f326(f250(f939(f938(x73551,x73551),a927),f939(f938(x73551,x73551),a927)),x73552))
% 197.76/197.84 [7374]~P1(f326(f326(f234(a931),f326(a112,f2(a931))),x73741))+P1(f326(f326(f234(a931),f326(a112,f2(a931))),f326(f326(f243(a931),x73741),x73742)))
% 197.76/197.84 [7557]~P1(f326(f326(f234(a1),x75571),x75572))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x75571),x75571)),f326(f326(f79(a1),x75572),x75572)))
% 197.76/197.84 [7562]~P1(f326(f326(f235(a1),x75621),x75622))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x75621),x75621)),f326(f326(f79(a1),x75622),x75622)))
% 197.76/197.84 [7621]~P1(f326(f326(f235(a931),f2(a931)),x76211))+P1(f326(f326(f235(a931),f326(f326(f3(a931),x76211),f326(a112,x76212))),x76211))
% 197.76/197.84 [7655]P1(f326(f326(f234(a931),f326(a112,f2(a931))),x76551))+~P1(f326(f326(f234(a931),f326(a112,f2(a931))),f326(f326(f80(a931),x76552),x76551)))
% 197.76/197.84 [7656]P1(f326(f326(f234(a931),f326(a112,f2(a931))),x76561))+~P1(f326(f326(f234(a931),f326(a112,f2(a931))),f326(f326(f80(a931),x76561),x76562)))
% 197.76/197.84 [7660]P1(f326(f326(f234(a931),f326(f326(f164(a931),x76601),x76602)),f326(f165(a931),x76601)))+~P1(f326(f326(f235(a931),x76602),f326(f189(f932(a931)),x76601)))
% 197.76/197.84 [7701]P1(f326(f326(f235(a1),x77011),x77012))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x77011),f77(a1))),x77012))
% 197.76/197.84 [7746]P1(f326(f61(x77461),f241(f939(x77461,a927))))+~P1(f326(f61(f939(x77462,x77461)),f241(f939(f939(x77462,x77461),a927))))
% 197.76/197.84 [7747]P1(f326(f61(x77471),f241(f939(x77471,a927))))+~P1(f326(f61(f937(x77472,x77471)),f241(f939(f937(x77472,x77471),a927))))
% 197.76/197.84 [7748]P1(f326(f61(x77481),f241(f939(x77481,a927))))+~P1(f326(f61(f937(x77481,x77482)),f241(f939(f937(x77481,x77482),a927))))
% 197.76/197.84 [7787]E(x77871,f188(f939(x77872,a927)))+~P1(f326(f326(f234(f939(x77872,a927)),x77871),f326(f78(f939(x77872,a927)),x77871)))
% 197.76/197.84 [7927]E(f326(f142(f932(x79271),f932(x79271),f134(x79271),f113(x79271)),x79272),f113(x79271))+P1(f326(f326(f328(f932(x79271)),f708(x79272,x79271)),f326(f172(f932(x79271)),x79272)))
% 197.76/197.84 [7928]E(f326(f142(f932(x79281),f932(x79281),f134(x79281),f113(x79281)),x79282),f113(x79281))+P1(f326(f326(f328(f932(x79281)),f714(x79282,x79281)),f326(f172(f932(x79281)),x79282)))
% 197.76/197.84 [8167]P1(f326(f326(f234(a1),x81671),x81672))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x81671),x81671)),f326(f326(f79(a1),x81672),x81672)))
% 197.76/197.84 [8172]P1(f326(f326(f235(a1),x81721),x81722))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x81721),x81721)),f326(f326(f79(a1),x81722),x81722)))
% 197.76/197.84 [8268]~P115(x82681)+E(f326(f326(f80(x82681),f326(f326(f79(x82681),f77(x82681)),f77(x82681))),f326(f326(f8(a931,x82681),f100(x82681)),f302(a931,f77(a931),x82682))),f326(f326(f80(x82681),f326(f100(x82681),x82682)),f326(f326(f79(x82681),f326(f100(x82681),x82682)),f77(x82681))))
% 197.76/197.84 [8318]P1(f326(f326(f328(a931),x83181),x83182))+~P1(f326(f326(f328(a1),f326(f100(a1),x83181)),f326(f309(a931,a1,f100(a1)),x83182)))
% 197.76/197.84 [8477]~P1(f326(f61(x84771),x84772))+E(f326(f309(a931,x84771,f577(x84772,x84771)),f326(f261(a931),f326(f326(f9(a931,a931,a927),f235(a931)),f573(x84772,x84771)))),x84772)
% 197.76/197.84 [8755]P58(x87551,x87552)+P1(f326(f326(f328(f938(x87551,x87551)),f326(f326(f251(x87551,x87551),f475(x87552,x87551)),f475(x87552,x87551))),x87552))
% 197.76/197.84 [8756]P42(x87561,x87562)+P1(f326(f326(f328(f938(x87561,x87561)),f326(f326(f251(x87561,x87561),f800(x87562,x87561)),f803(x87562,x87561))),x87562))
% 197.76/197.84 [8757]P42(x87571,x87572)+P1(f326(f326(f328(f938(x87571,x87571)),f326(f326(f251(x87571,x87571),f803(x87572,x87571)),f804(x87572,x87571))),x87572))
% 197.76/197.84 [8758]P43(x87581,x87582)+P1(f326(f326(f328(f938(x87581,x87581)),f326(f326(f251(x87581,x87581),f718(x87582,x87581)),f717(x87582,x87581))),x87582))
% 197.76/197.84 [8759]P43(x87591,x87592)+P1(f326(f326(f328(f938(x87591,x87591)),f326(f326(f251(x87591,x87591),f717(x87592,x87591)),f718(x87592,x87591))),x87592))
% 197.76/197.84 [8760]P56(x87601,x87602)+P1(f326(f326(f328(f938(x87601,x87601)),f326(f326(f251(x87601,x87601),f814(x87602,x87601)),f815(x87602,x87601))),x87602))
% 197.76/197.84 [8901]~P98(x89011)+E(f326(f326(f3(x89011),f77(x89011)),f326(f103(x89011),x89012)),f326(f103(x89011),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x89012))))
% 197.76/197.84 [9026]~P1(f326(f326(f235(f939(a931,a927)),x90261),x90262))+P1(f326(f326(f235(f939(a1,a927)),f326(f309(a931,a1,f100(a1)),x90261)),f326(f309(a931,a1,f100(a1)),x90262)))
% 197.76/197.84 [9060]~P1(f326(f326(f235(a1),x90601),x90602))+P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x90601),x90601)),a97)),f326(f326(f79(a1),x90602),x90602)))
% 197.76/197.84 [9062]~P1(f326(f326(f235(a1),x90621),x90622))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x90621),x90621)),a97)),f326(f326(f79(a1),x90622),x90622)))
% 197.76/197.84 [9083]P26(a926,a942,f326(f326(f308(f930(a926)),f326(f326(f326(f90(a926),f869(x90831,x90832)),a943),f872(x90831,x90832))),f188(f939(f930(a926),a927))))+~P1(f326(f326(a941,x90831),x90832))
% 197.76/197.84 [9136]~P1(f326(f326(f328(a931),x91361),f326(f172(a931),x91362)))+P1(f326(f326(f234(a931),x91361),f326(f142(a931,a931,f79(a931),f2(a931)),x91362)))
% 197.76/197.84 [9226]P51(x92261,x92262)+~P1(f326(f326(f328(f938(x92261,x92261)),f326(f326(f251(x92261,x92261),f402(x92262,x92261)),f402(x92262,x92261))),x92262))
% 197.76/197.84 [9227]P42(x92271,x92272)+~P1(f326(f326(f328(f938(x92271,x92271)),f326(f326(f251(x92271,x92271),f800(x92272,x92271)),f804(x92272,x92271))),x92272))
% 197.76/197.84 [9228]P56(x92281,x92282)+~P1(f326(f326(f328(f938(x92281,x92281)),f326(f326(f251(x92281,x92281),f815(x92282,x92281)),f814(x92282,x92281))),x92282))
% 197.76/197.84 [9367]~P1(f326(f326(f234(f939(a1,a927)),f326(f309(a931,a1,f100(a1)),x93671)),f326(f309(a931,a1,f100(a1)),x93672)))+P1(f326(f326(f234(f939(a931,a927)),x93671),x93672))
% 197.76/197.84 [9368]~P1(f326(f326(f235(f939(a1,a927)),f326(f309(a931,a1,f100(a1)),x93681)),f326(f309(a931,a1,f100(a1)),x93682)))+P1(f326(f326(f235(f939(a931,a927)),x93681),x93682))
% 197.76/197.84 [9461]P1(f326(f326(f235(a1),x94611),x94612))+~P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x94611),x94611)),a97)),f326(f326(f79(a1),x94612),x94612)))
% 197.76/197.84 [9463]P1(f326(f326(f235(a1),x94631),x94632))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x94631),x94631)),a97)),f326(f326(f79(a1),x94632),x94632)))
% 197.76/197.84 [10354]~P107(x103541)+E(f116(f932(x103541),f326(f129(f932(x103541)),f113(x103541)),f326(f326(f326(f96(f933(f932(x103541))),f326(f326(f235(a1),f2(a1)),x103542)),f326(f118(f938(x103541,f932(x103541)),f932(x103541),f131(x103541,f932(x103541),f132(x103541,f326(f326(f3(a1),x103542),f77(a1))),f132(f932(x103541),f326(f326(f3(a1),x103542),f77(a1))))),f326(f256(x103541,f932(x103541),f933(f932(x103541))),f326(f326(f10(f939(f932(x103541),f932(x103541)),f939(f932(x103541),f933(f932(x103541))),x103541),f326(f10(f932(x103541),f933(f932(x103541)),f932(x103541)),f129(f932(x103541)))),f151(x103541))))),f115(f932(x103541)))),f132(f932(x103541),x103542))
% 197.76/197.84 [10376]~P1(f326(f61(x103761),x103762))+E(f326(f189(f932(x103761)),f89(f932(x103761),f326(f326(f20(f932(x103761),a927,a927),f326(f326(f10(a927,f939(a927,a927),f932(x103761)),a324),f326(f326(f9(f932(x103761),f939(x103761,a927),a927),f326(f326(f10(f939(x103761,a927),f939(f939(x103761,a927),a927),f932(x103761)),a323),f172(x103761))),x103762))),f137(x103761)))),f214(x103761,x103762))
% 197.76/197.84 [6331]E(f326(f326(f79(a931),f326(f326(f3(a931),x63311),x63312)),x63312),x63311)+~P1(f326(f326(f234(a931),x63312),x63311))
% 197.76/197.84 [6404]E(f326(f326(f36(a931),f326(f326(f80(a931),x64041),x64042)),x64042),x64041)+~P1(f326(f326(f235(a931),f2(a931)),x64042))
% 197.76/197.84 [6405]E(f326(f326(f36(a931),f326(f326(f80(a931),x64051),x64052)),x64051),x64052)+~P1(f326(f326(f235(a931),f2(a931)),x64051))
% 197.76/197.84 [6409]~P79(x64091)+E(f326(f326(f8(a931,x64091),f326(f164(x64091),x64092)),f326(f301(a931,f2(a931)),f326(f189(f932(x64091)),x64092))),f326(f165(x64091),x64092))
% 197.76/197.84 [6517]E(f45(a931,f326(a112,f326(f326(f80(a931),x65171),x65172)),x65171),f77(a931))+~P1(f326(f326(f235(a931),f77(a931)),x65171))
% 197.76/197.84 [6523]E(f326(a112,f326(f326(f79(a931),f326(f103(a931),x65231)),x65232)),f326(f326(f79(a931),f77(a931)),x65232))+~P1(f326(a193,f326(f103(a1),x65231)))
% 197.76/197.84 [6552]E(f326(a104,f326(f326(f243(a1),f326(f103(a1),x65521)),x65522)),f326(f326(f243(a931),f326(f103(a931),x65521)),x65522))+P1(f326(a193,f326(f103(a1),x65521)))
% 197.76/197.84 [6795]E(f326(f326(f3(a931),x67951),f326(f103(a931),f326(f326(f79(a1),x67952),a97))),f326(f326(f3(a931),f326(a112,x67951)),f326(f103(a931),x67952)))+~P1(f326(f326(f235(a1),a82),x67952))
% 197.76/197.84 [6874]E(x68741,f2(a931))+E(f326(a112,f326(f326(f79(a931),f326(f326(f3(a931),x68741),f77(a931))),x68742)),f326(f326(f79(a931),x68741),x68742))
% 197.76/197.84 [6915]E(x69151,f2(a1))+P1(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x69151)),x69152)))
% 197.76/197.84 [6930]~E(x69302,f2(a931))+P1(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x69301)),x69302)))
% 197.76/197.84 [6967]E(x69671,f2(a931))+E(f326(f326(f79(a931),x69672),f326(f326(f80(a931),f326(f326(f3(a931),x69671),f77(a931))),x69672)),f326(f326(f80(a931),x69671),x69672))
% 197.76/197.84 [7015]~P1(f326(f326(f234(a1),x70151),x70152))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x70151),a97)),x70152))
% 197.76/197.84 [7144]E(f326(f326(f151(a931),x71441),f139(a931,f326(f301(a931,f326(a112,x71441)),x71442))),f139(a931,f326(f301(a931,x71441),x71442)))+~P1(f326(f326(f235(a931),x71441),x71442))
% 197.76/197.84 [7346]E(x73461,x73462)+~E(f326(f326(f3(a1),f326(f326(f79(a1),x73461),x73461)),a97),f326(f326(f3(a1),f326(f326(f79(a1),x73462),x73462)),a97))
% 197.76/197.84 [7349]E(x73491,f113(x73492))+E(f265(x73492,f326(f326(f154(x73492,f938(a99,x73492)),f326(f251(a99,x73492),f77(a99))),x73491)),f274(x73492,x73491))
% 197.76/197.84 [7589]P1(f326(f326(f234(a1),x75891),x75892))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x75891),a97)),x75892))
% 197.76/197.84 [8066]~P1(f326(f326(f235(a931),x80661),x80662))+P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x80661),x80662)),a239))
% 197.76/197.84 [8295]~P1(f326(f326(f235(a99),f2(a99)),x82951))+P1(f326(f326(f235(a99),f326(f250(a99,f938(a99,a99)),f326(f266(x82951),x82952))),x82951))
% 197.76/197.84 [8558]~P42(x85581,x85582)+P42(x85581,f326(f326(f110(f939(f938(x85581,x85581),a927)),x85582),f306(x85581,f188(f939(f938(x85581,x85581),a927)))))
% 197.76/197.84 [8559]~P43(x85591,x85592)+P43(x85591,f326(f326(f110(f939(f938(x85591,x85591),a927)),x85592),f306(x85591,f188(f939(f938(x85591,x85591),a927)))))
% 197.76/197.84 [8607]~P89(x86071)+P1(f326(f326(f234(x86071),f326(f75(x86071),f326(f165(x86071),x86072))),f326(f165(x86071),f326(f326(f154(x86071,x86071),f75(x86071)),x86072))))
% 197.76/197.84 [8632]P1(f326(f326(f235(a931),x86321),x86322))+~P1(f326(f326(f328(f938(a931,a931)),f326(f326(f251(a931,a931),x86321),x86322)),a239))
% 197.76/197.84 [8779]E(f326(f326(f251(x87791,x87791),f635(x87792,x87791)),f635(x87792,x87791)),x87792)+~P1(f326(f326(f328(f938(x87791,x87791)),x87792),f306(x87791,f188(f939(f938(x87791,x87791),a927)))))
% 197.76/197.84 [8823]E(f326(f301(a931,x88231),f326(f326(f79(a931),x88231),f326(f35(a931),x88232))),x88232)+~P1(f326(f326(f234(f939(a931,a927)),x88232),f326(f301(a931,x88231),f326(f326(f79(a931),x88231),f326(f35(a931),x88232)))))
% 197.76/197.84 [9053]P43(x90531,x90532)+~P43(x90531,f326(f326(f110(f939(f938(x90531,x90531),a927)),x90532),f306(x90531,f188(f939(f938(x90531,x90531),a927)))))
% 197.76/197.84 [9181]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x91811),x91811)),a97))),f326(f103(a1),f326(f326(f79(a1),x91812),x91812))),f326(f326(f36(a1),f326(f103(a1),x91811)),f326(f103(a1),x91812)))+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x91812)))
% 197.76/197.84 [9271]~P42(x92711,x92712)+P1(f326(f326(f234(f939(f938(x92711,x92711),a927)),f326(f326(f288(x92711,x92711,x92711),x92712),x92712)),x92712))
% 197.76/197.84 [9297]E(f177(f932(x92971),f326(f326(f10(a927,a927,f932(x92971)),a321),f326(f326(f9(f932(x92971),f932(x92971),a927),a323),f113(x92971))),x92972),f179(x92971,f179(x92971,x92972)))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x92971),a931),f189(f932(x92971))),x92972)))
% 197.76/197.84 [9300]E(f326(f326(f36(a1),f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93001),x93001)),a97))),f326(f103(a1),f326(f326(f79(a1),x93002),x93002))),f326(f326(f36(a1),f326(f326(f79(a1),f326(f103(a1),x93001)),f77(a1))),f326(f103(a1),x93002)))+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x93002)))
% 197.76/197.84 [10148]P1(f326(a193,x101482))+E(f326(f326(f85(a1,a931),f326(f326(f3(a1),x101481),x101482)),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f2(a931))),a104)),f326(f326(f3(a931),f326(a104,x101481)),f326(a104,x101482)))
% 197.76/197.84 [10156]E(f326(f326(f85(a1,a931),f326(f103(a1),f326(f326(f79(a1),x101561),f326(f78(a1),x101562)))),f326(f326(f20(a1,a931,a931),f326(f326(f9(a1,a931,f939(a931,a931)),f326(f326(f10(a927,f939(a931,f939(a931,a931)),a1),f96(a931)),a193)),f2(a931))),a104)),f326(f326(f3(a931),f326(f103(a931),x101561)),f326(f103(a931),x101562)))+P1(f326(f326(f235(a1),x101562),a82))
% 197.76/197.84 [10157]~P29(x101571,x101572)+P1(f326(f326(f234(f939(f938(x101571,x101571),a927)),f326(f326(f288(x101571,x101571,x101571),f326(f250(f939(f938(x101571,x101571),a927),f939(f938(x101571,x101571),a927)),x101572)),f326(f255(f939(f938(x101571,x101571),a927),f939(f938(x101571,x101571),a927)),x101572))),f326(f250(f939(f938(x101571,x101571),a927),f939(f938(x101571,x101571),a927)),x101572)))
% 197.76/197.84 [10214]~E(f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,f939(a931,a927),a927),f328(a931)),x102141))),f326(f326(f9(a931,a931,a927),f235(a931)),f326(a112,x102142))))),f2(a931))+~P1(f326(f326(f328(a931),f2(a931)),x102141))
% 197.76/197.84 [10225]E(f298(a931,f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x102251,x102252),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x102252),x102251))
% 197.76/197.84 [10230]E(f299(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x102301,x102302),f188(f939(a931,a927)))+P1(f326(f326(f286(a931),x102301),x102302))
% 197.76/197.84 [10231]E(f296(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x102311,x102312),f188(f939(a931,a927)))+P1(f326(f326(f286(a931),x102311),x102312))
% 197.76/197.84 [10235]E(f299(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x102351,x102352),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x102352),x102351))
% 197.76/197.84 [10237]E(f296(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x102371,x102372),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x102372),x102371))
% 197.76/197.84 [10280]E(f45(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x102801),x102801)),a97)),f326(f103(a1),f326(f326(f79(a1),x102802),x102802))),f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f103(a1),x102801),f326(f103(a1),x102802)))),f77(a1)))+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x102802)))
% 197.76/197.84 [10289]E(f45(a1,f326(f103(a1),f326(f326(f3(a1),f326(f326(f79(a1),x102891),x102891)),a97)),f326(f103(a1),f326(f326(f79(a1),x102892),x102892))),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f326(f79(a1),f326(f103(a1),x102891)),f77(a1)),f326(f103(a1),x102892)))),f77(a1)))+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x102892)))
% 197.76/197.84 [10343]~P7(x103431)+E(f37(x103431,f326(f261(x103431),f326(f326(f10(f939(x103431,a927),a927,x103431),f87(x103431)),f326(f326(f10(f939(x103431,a927),f939(x103431,a927),x103431),f326(f20(x103431,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103431),a329),f326(f326(f9(x103431,f939(x103431,a927),a927),f328(x103431)),x103432)))),f234(x103431))))),f38(x103431,x103432))
% 197.76/197.84 [10369]~P41(x103691,x103692)+P64(x103691,f326(f326(f9(x103691,f939(f938(x103691,x103691),a927),f939(x103691,a927)),f326(f326(f10(f939(x103691,f939(f939(f938(x103691,x103691),a927),a927)),f939(f939(f938(x103691,x103691),a927),f939(x103691,a927)),x103691),f9(x103691,f939(f938(x103691,x103691),a927),a927)),f326(f326(f10(f939(x103691,f938(x103691,x103691)),f939(x103691,f939(f939(f938(x103691,x103691),a927),a927)),x103691),f326(f10(f938(x103691,x103691),f939(f939(f938(x103691,x103691),a927),a927),x103691),f328(f938(x103691,x103691)))),f251(x103691,x103691)))),x103692))
% 197.76/197.84 [10370]~P10(x103701,f241(f939(x103701,a927)),x103702)+P9(x103701,f326(f326(f9(x103701,f939(f938(x103701,x103701),a927),f939(x103701,a927)),f326(f326(f10(f939(x103701,f939(f939(f938(x103701,x103701),a927),a927)),f939(f939(f938(x103701,x103701),a927),f939(x103701,a927)),x103701),f9(x103701,f939(f938(x103701,x103701),a927),a927)),f326(f326(f10(f939(x103701,f938(x103701,x103701)),f939(x103701,f939(f939(f938(x103701,x103701),a927),a927)),x103701),f326(f10(f938(x103701,x103701),f939(f939(f938(x103701,x103701),a927),a927),x103701),f328(f938(x103701,x103701)))),f251(x103701,x103701)))),x103702))
% 197.76/197.84 [10414]P41(x104141,x104142)+~P64(x104141,f326(f326(f9(x104141,f939(f938(x104141,x104141),a927),f939(x104141,a927)),f326(f326(f10(f939(x104141,f939(f939(f938(x104141,x104141),a927),a927)),f939(f939(f938(x104141,x104141),a927),f939(x104141,a927)),x104141),f9(x104141,f939(f938(x104141,x104141),a927),a927)),f326(f326(f10(f939(x104141,f938(x104141,x104141)),f939(x104141,f939(f939(f938(x104141,x104141),a927),a927)),x104141),f326(f10(f938(x104141,x104141),f939(f939(f938(x104141,x104141),a927),a927),x104141),f328(f938(x104141,x104141)))),f251(x104141,x104141)))),x104142))
% 197.76/197.84 [10415]P10(x104151,f241(f939(x104151,a927)),x104152)+~P9(x104151,f326(f326(f9(x104151,f939(f938(x104151,x104151),a927),f939(x104151,a927)),f326(f326(f10(f939(x104151,f939(f939(f938(x104151,x104151),a927),a927)),f939(f939(f938(x104151,x104151),a927),f939(x104151,a927)),x104151),f9(x104151,f939(f938(x104151,x104151),a927),a927)),f326(f326(f10(f939(x104151,f938(x104151,x104151)),f939(x104151,f939(f939(f938(x104151,x104151),a927),a927)),x104151),f326(f10(f938(x104151,x104151),f939(f939(f938(x104151,x104151),a927),a927),x104151),f328(f938(x104151,x104151)))),f251(x104151,x104151)))),x104152))
% 197.76/197.84 [7537]E(f326(f326(f79(a931),f326(f103(a931),f326(f326(f3(a1),x75371),a97))),x75372),f326(a112,f326(f326(f79(a931),f326(f103(a931),x75371)),x75372)))+P1(f326(a193,f326(f103(a1),x75371)))
% 197.76/197.84 [7984]~P98(x79841)+E(f326(f326(f79(x79841),f326(f326(f79(x79841),f77(x79841)),f326(f103(x79841),x79842))),f326(f103(x79841),x79842)),f326(f103(x79841),f326(f326(f3(a1),f326(f326(f79(a1),x79842),x79842)),a97)))
% 197.76/197.84 [8634]~P1(f326(f326(f234(a1),x86341),x86342))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x86341),x86341)),f326(f326(f3(a1),f326(f326(f79(a1),x86342),x86342)),a97)))
% 197.76/197.84 [8636]~P1(f326(f326(f234(a1),x86361),x86362))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x86361),x86361)),f326(f326(f3(a1),f326(f326(f79(a1),x86362),x86362)),a97)))
% 197.76/197.84 [9064]P1(f326(f326(f234(a1),x90641),x90642))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x90641),x90641)),f326(f326(f3(a1),f326(f326(f79(a1),x90642),x90642)),a97)))
% 197.76/197.84 [9066]P1(f326(f326(f234(a1),x90661),x90662))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),x90661),x90661)),f326(f326(f3(a1),f326(f326(f79(a1),x90662),x90662)),a97)))
% 197.76/197.84 [9356]~P1(f326(f326(f234(a1),x93561),x93562))+P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93561),x93561)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x93562),x93562)),a97)))
% 197.76/197.84 [9358]~P1(f326(f326(f235(a1),x93581),x93582))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x93581),x93581)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x93582),x93582)),a97)))
% 197.76/197.84 [9633]P1(f326(f326(f234(a1),x96331),x96332))+~P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),x96331),x96331)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x96332),x96332)),a97)))
% 197.76/197.84 [9635]P1(f326(f326(f235(a1),x96351),x96352))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),x96351),x96351)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),x96352),x96352)),a97)))
% 197.76/197.84 [9668]~P1(f326(f61(x96681),x96682))+P1(f326(f61(f939(x96681,a927)),f326(f261(f939(x96681,a927)),f326(f326(f9(f939(x96681,a927),f939(x96681,a927),a927),f234(f939(x96681,a927))),x96682))))
% 197.76/197.84 [9720]~E(f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),x97201),f188(f939(f938(a931,a931),a927)))),f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),x97202),f188(f939(f938(a931,a931),a927)))))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x97201),x97202)),a108))
% 197.76/197.84 [9807]E(f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),x98071),f188(f939(f938(a931,a931),a927)))),f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),x98072),f188(f939(f938(a931,a931),a927)))))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x98071),x98072)),a108))
% 197.76/197.84 [9843]P1(f326(f326(f234(a1),f2(a1)),f655(x98431,x98432)))+E(f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98431)),f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98432)))
% 197.76/197.84 [10353]~P7(x103531)+E(f38(x103531,f326(f261(x103531),f326(f326(f10(f939(x103531,a927),a927,x103531),f87(x103531)),f326(f326(f10(f939(x103531,a927),f939(x103531,a927),x103531),f326(f20(x103531,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103531),a329),f326(f326(f9(x103531,f939(x103531,a927),a927),f328(x103531)),x103532)))),f326(f9(x103531,x103531,a927),f234(x103531)))))),f37(x103531,x103532))
% 197.76/197.84 [10375]P1(f326(f326(f328(a931),f2(a931)),x103751))+E(f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),a931),f328(a931)),a112)),x103751))),f326(f326(f9(a931,a931,a927),f235(a931)),x103752)))),f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,f939(a931,a927),a927),f328(a931)),x103751))),f326(f326(f9(a931,a931,a927),f235(a931)),f326(a112,x103752))))))
% 197.76/197.84 [7853]~P98(x78531)+E(f326(f326(f80(x78531),x78532),f326(f103(x78531),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x78532)
% 197.76/197.84 [8119]~P98(x81191)+E(f326(f326(f79(x81191),f326(f103(x81191),x81192)),f77(x81191)),f326(f103(x81191),f326(f326(f79(a1),x81192),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))
% 197.76/197.84 [8266]P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x82662)))+E(f326(f326(f243(a1),x82661),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x82662),x82662)),a97))),f77(a1))
% 197.76/197.84 [9695]~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x96952)))+E(f326(f326(f243(a1),x96951),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x96952),x96952)),a97))),f326(f326(f85(a1,a1),f326(f326(f243(a1),x96951),f326(f103(a931),x96952))),f326(f326(f20(a1,a1,a1),f326(f326(f10(a1,f939(a1,a1),a1),f80(a1)),f326(f80(a1),x96951))),f7(a1))))
% 197.76/197.84 [10066]~P1(f326(f326(f234(a931),f659(x100662,x100661)),f326(x100661,f659(x100662,x100661))))+P1(f326(f61(a931),f326(f261(a931),f326(f326(f9(a931,a931,a927),f326(f326(f10(a931,f939(a931,a927),a931),f234(a931)),x100661)),x100662))))
% 197.76/197.84 [10204]~P1(f326(f326(f234(a931),f326(f103(a931),x102041)),f326(a112,x102042)))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102041),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),f234(a931)),a104)),x102042))))
% 197.76/197.84 [10205]~P1(f326(f326(f235(a931),f326(f103(a931),x102051)),f326(a112,x102052)))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102051),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),f235(a931)),a104)),x102052))))
% 197.76/197.84 [10264]P1(f326(f326(f234(a931),f326(f103(a931),x102641)),f326(a112,x102642)))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102641),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),f234(a931)),a104)),x102642))))
% 197.76/197.84 [10265]P1(f326(f326(f235(a931),f326(f103(a931),x102651)),f326(a112,x102652)))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102651),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),f235(a931)),a104)),x102652))))
% 197.76/197.84 [10295]~P1(f326(f326(f234(a931),f326(a112,x102952)),f326(f103(a931),x102951)))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102951),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f10(a931,a927,a1),f326(f234(a931),x102952)),a104)))))
% 197.76/197.84 [10296]~P1(f326(f326(f235(a931),f326(a112,x102962)),f326(f103(a931),x102961)))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x102961),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f10(a931,a927,a1),f326(f235(a931),x102962)),a104)))))
% 197.76/197.84 [10341]P1(f326(f326(f234(a931),f326(a112,x103411)),f326(f103(a931),x103412)))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103412),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f10(a931,a927,a1),f326(f234(a931),x103411)),a104)))))
% 197.76/197.84 [10342]P1(f326(f326(f235(a931),f326(a112,x103421)),f326(f103(a931),x103422)))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103422),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f10(a931,a927,a1),f326(f235(a931),x103421)),a104)))))
% 197.76/197.84 [10424]~P1(f326(f326(f328(a931),f2(a931)),x104241))+E(f326(a112,f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,f939(a931,a927),a927),f326(f326(f10(a931,f939(f939(a931,a927),a927),a931),f328(a931)),a112)),x104241))),f326(f326(f9(a931,a931,a927),f235(a931)),x104242))))),f326(f35(a931),f326(f261(a931),f326(f326(f20(a931,a927,a927),f326(f326(f10(a927,f939(a927,a927),a931),a324),f326(f326(f9(a931,f939(a931,a927),a927),f328(a931)),x104241))),f326(f326(f9(a931,a931,a927),f235(a931)),f326(a112,x104242))))))
% 197.76/197.84 [8806]~P98(x88061)+E(f326(f326(f80(x88061),f326(f103(x88061),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x88062),x88062)
% 197.76/197.84 [8867]~P98(x88671)+E(f326(f326(f79(x88671),f77(x88671)),f326(f103(x88671),x88672)),f326(f103(x88671),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x88672)))
% 197.76/197.84 [8929]~P98(x89291)+E(f326(f326(f3(x89291),f326(f103(x89291),x89292)),f77(x89291)),f326(f103(x89291),f326(f326(f79(a1),x89292),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [9084]~P1(f326(f326(f235(a931),f326(f103(a931),a82)),x90842))+E(f326(f326(f3(a931),x90841),f326(f326(f3(a931),x90842),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f3(a931),f326(a112,x90841)),x90842))
% 197.76/197.84 [9738]~P115(x97381)+E(f326(f326(f80(x97381),x97382),x97382),f326(f326(f243(x97381),x97382),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [9739]~P85(x97391)+E(f326(f326(f243(x97391),x97392),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f80(x97391),x97392),x97392))
% 197.76/197.84 [9741]~P98(x97411)+E(f326(f326(f80(x97411),x97412),f326(f103(x97411),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f79(x97411),x97412),x97412))
% 197.76/197.84 [9984]~P122(x99841)+E(f326(f326(f243(x99841),f326(f75(x99841),x99842)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99841),x99842),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [9985]~P145(x99851)+E(f326(f326(f243(x99851),f326(f78(x99851),x99852)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x99851),x99852),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [9981]~P98(x99811)+E(f326(f326(f80(x99811),f326(f103(x99811),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x99812),f326(f326(f79(x99811),x99812),x99812))
% 197.76/197.84 [10099]~P122(x100991)+E(f326(f75(x100991),f326(f326(f243(x100991),x100992),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x100991),x100992),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [10164]~P122(x101641)+P1(f326(f326(f234(x101641),f2(x101641)),f326(f326(f243(x101641),x101642),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.84 [10332]~E(f326(a112,x103322),f326(f103(a931),x103321))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103321),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),a323),a104)),x103322)))))
% 197.76/197.84 [10333]~E(f326(f103(a931),x103331),f326(a112,x103332))+P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103331),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),a323),a104)),x103332)))))
% 197.76/197.84 [10378]E(f326(a112,x103781),f326(f103(a931),x103782))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103782),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),a323),a104)),x103781)))))
% 197.76/197.84 [10379]E(f326(f103(a931),x103791),f326(a112,x103792))+~P1(f326(f326(f85(a1,a927),f326(f103(a1),f326(f326(f79(a1),x103791),a97))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a329),f326(f326(f10(a927,a927,a1),a321),a193))),f326(f326(f9(a1,a931,a927),f326(f326(f10(a931,f939(a931,a927),a1),a323),a104)),x103792)))))
% 197.76/197.84 [10425]~P17(x104251,x104252)+P1(f326(f326(f328(f939(x104251,a927)),f824(x104252,x104251)),f326(f326(f10(f939(x104251,a927),a927,f939(x104251,a927)),f86(x104251)),f326(f326(f10(f939(x104251,a927),f939(x104251,a927),f939(x104251,a927)),f326(f20(x104251,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104251),a324),f326(f326(f20(x104251,x104251,a927),x104252),f7(x104251))))),f326(f326(f9(f939(x104251,a927),f939(x104251,f939(x104251,a927)),f939(x104251,a927)),f326(f326(f10(f939(f939(x104251,a927),a927),f939(f939(x104251,f939(x104251,a927)),f939(x104251,a927)),f939(x104251,a927)),f10(f939(x104251,a927),a927,x104251)),a323)),x104252)))))
% 197.76/197.84 [10162]~P98(x101621)+E(f326(f326(f243(x101621),f326(f103(x101621),a97)),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101622)),f77(x101621))
% 197.76/197.84 [10163]~P145(x101631)+E(f326(f326(f243(x101631),f326(f78(x101631),f77(x101631))),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101632)),f77(x101631))
% 197.76/197.84 [10166]~P85(x101661)+E(f326(f326(f243(x101661),x101662),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),a97))),f326(f326(f80(x101661),f326(f326(f80(x101661),x101662),x101662)),x101662))
% 197.76/197.84 [10358]~P1(f326(f326(f234(a1),f2(a1)),x103582))+E(f45(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103581)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103582)),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,x103581,x103582))))
% 197.76/197.84 [10381]~P1(f326(f326(f234(a1),f2(a1)),x103812))+E(f326(f326(f36(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103811))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103812)),f326(f326(f36(a1),x103811),x103812))
% 197.76/197.84 [10383]~P1(f326(f326(f234(a1),x103832),f2(a1)))+E(f326(f326(f36(a1),f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103831))),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103832)),f326(f326(f36(a1),f326(f326(f79(a1),x103831),f77(a1))),x103832))
% 197.76/197.84 [10384]~P1(f326(f326(f234(a1),x103842),f2(a1)))+E(f45(a1,f326(f326(f79(a1),f77(a1)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103841)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103842)),f326(f326(f3(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f45(a1,f326(f326(f79(a1),x103841),f77(a1)),x103842))),f77(a1)))
% 197.76/197.84 [10255]~P98(x102551)+E(f326(f326(f243(x102551),f326(f103(x102551),a97)),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102552))),f326(f103(x102551),a97))
% 197.76/197.84 [10257]~P145(x102571)+E(f326(f326(f243(x102571),f326(f78(x102571),f77(x102571))),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102572))),f326(f78(x102571),f77(x102571)))
% 197.76/197.84 [5191]P42(x51911,x51912)+~P10(x51911,x51913,x51912)
% 197.76/197.84 [5193]P56(x51931,x51932)+~P10(x51931,x51933,x51932)
% 197.76/197.84 [5363]~P10(x53631,x53632,x53633)+P57(x53631,x53632,x53633)
% 197.76/197.84 [6387]E(x63871,x63872)+~P45(a25,x63871,x63873,x63872)
% 197.76/197.84 [8333]~E(x83332,x83333)+P38(x83331,x83331,a323,x83332,x83333)
% 197.76/197.84 [8880]E(x88801,x88802)+~P38(x88803,x88803,a323,x88801,x88802)
% 197.76/197.84 [4999]E(f169(x49991,x49992,x49993),f113(x49991))+~E(x49992,f2(a931))
% 197.76/197.84 [5167]~E(f169(x51672,x51671,x51673),f113(x51672))+E(x51671,f2(a931))
% 197.76/197.84 [5368]~P41(x53681,x53683)+P41(x53681,f320(x53681,x53682,x53683))
% 197.76/197.84 [5477]~P33(x54771,x54772,x54773)+P35(a1,x54771,f178(x54772,x54773))
% 197.76/197.84 [5532]P30(x55321,x55322,x55323)+~P30(x55321,f326(a112,x55322),x55323)
% 197.76/197.84 [5550]P33(x55501,x55502,x55503)+~P35(a1,x55501,f178(x55502,x55503))
% 197.76/197.84 [5621]~P10(x56211,x56212,x56213)+P10(f932(x56211),f161(x56211,x56212),f158(x56211,x56213))
% 197.76/197.84 [5622]~P57(x56221,x56222,x56223)+P57(f932(x56221),f161(x56221,x56222),f158(x56221,x56223))
% 197.76/197.84 [5733]P59(x57331,x57332,x57333)+~E(f609(x57333,x57332,x57331),f610(x57333,x57332,x57331))
% 197.76/197.84 [5734]P60(x57341,x57342,x57343)+~E(f629(x57343,x57342,x57341),f630(x57343,x57342,x57341))
% 197.76/197.84 [6697]P31(x66971,x66972,x66973)+~P30(x66971,f633(x66973,x66972,x66971),f779(x66973,x66972,x66971))
% 197.76/197.84 [8339]~E(x83392,x83393)+P28(x83391,x83391,f31(x83391),x83392,x83393)
% 197.76/197.84 [8888]E(x88881,x88882)+~P28(x88883,x88883,f31(x88883),x88881,x88882)
% 197.76/197.84 [4954]~E(f326(f168(x49542),x49541),x49543)+E(x49541,f326(f168(x49542),x49543))
% 197.76/197.84 [4955]~E(x49552,f326(f168(x49551),x49553))+E(f326(f168(x49551),x49552),x49553)
% 197.76/197.84 [5005]E(x50051,x50052)+~E(f326(f168(x50053),x50051),f326(f168(x50053),x50052))
% 197.76/197.84 [5217]~P9(x52173,x52171)+P1(f326(f326(x52171,x52172),x52172))
% 197.76/197.84 [5218]~P48(x52183,x52181)+P1(f326(f326(x52181,x52182),x52182))
% 197.76/197.84 [5220]~P64(x52201,x52202)+P1(f326(f314(x52201,x52202),x52203))
% 197.76/197.84 [5284]~P41(x52841,x52842)+P41(f932(x52841),f326(f143(x52841,x52842),x52843))
% 197.76/197.84 [5289]~P1(f326(x52892,x52893))+~E(f326(f261(x52891),x52892),f188(f939(x52891,a927)))
% 197.76/197.84 [5290]~P1(f326(x52902,x52903))+~E(f188(f939(x52901,a927)),f326(f261(x52901),x52902))
% 197.76/197.84 [5302]E(x53021,f2(a931))+E(f144(x53022,f169(x53022,x53021,x53023)),x53023)
% 197.76/197.84 [5321]~P1(f326(x53211,x53213))+P1(f326(x53211,f89(x53212,x53211)))
% 197.76/197.84 [5322]~P1(f326(x53221,x53223))+P1(f326(x53221,f749(x53221,x53222)))
% 197.76/197.84 [5334]E(x53341,f2(a931))+E(f326(f141(x53342),f169(x53342,x53341,x53343)),x53343)
% 197.76/197.84 [5439]~E(x54392,x54393)+P1(f326(f326(f328(x54391),x54392),f326(a323,x54393)))
% 197.76/197.84 [5455]~E(x54552,f2(a931))+E(f326(f172(x54551),f169(x54551,x54552,x54553)),f188(f939(x54551,a927)))
% 197.76/197.84 [5499]E(f326(f168(x54991),x54992),f326(f326(f151(x54991),x54993),f113(x54991)))+~E(x54992,f326(f326(f151(x54991),x54993),f113(x54991)))
% 197.76/197.84 [5500]~E(x55003,f326(f326(f151(x55001),x55002),f113(x55001)))+E(f326(f326(f151(x55001),x55002),f113(x55001)),f326(f168(x55001),x55003))
% 197.76/197.84 [5546]~P37(x55461,x55462,x55463)+P37(x55461,x55462,f326(f168(x55461),x55463))
% 197.76/197.84 [5547]~P35(x55471,x55472,x55473)+P35(x55471,x55472,f326(f168(x55471),x55473))
% 197.76/197.84 [5551]E(f326(f35(x55511),f830(x55512,x55513,x55511)),x55512)+~E(f326(f35(x55511),x55513),f326(a112,x55512))
% 197.76/197.84 [5558]~P41(x55581,x55583)+P1(f326(f326(f328(x55581),x55582),f315(x55581,x55583)))
% 197.76/197.84 [5562]~E(f326(f168(x55622),x55621),f326(f326(f151(x55622),x55623),f113(x55622)))+E(x55621,f326(f326(f151(x55622),x55623),f113(x55622)))
% 197.76/197.84 [5563]~E(f326(f326(f151(x55632),x55633),f113(x55632)),f326(f168(x55632),x55631))+E(x55631,f326(f326(f151(x55632),x55633),f113(x55632)))
% 197.76/197.84 [5586]E(f84(f938(a931,a931),f48(x55861,x55862)),x55863)+~P1(f326(f48(x55861,x55862),x55863))
% 197.76/197.84 [5625]P37(x56251,x56252,x56253)+~P37(x56251,x56252,f326(f168(x56251),x56253))
% 197.76/197.84 [5626]P35(x56261,x56262,x56263)+~P35(x56261,x56262,f326(f168(x56261),x56263))
% 197.76/197.84 [5664]P1(f326(f326(x56641,x56642),x56642))+~P1(f326(f269(x56643,x56641),x56642))
% 197.76/197.84 [5665]~P1(f326(f326(x56652,x56653),x56653))+P1(f326(f269(x56651,x56652),x56653))
% 197.76/197.84 [5687]~E(x56872,f113(x56871))+P1(f326(f326(f328(f932(x56871)),x56872),f161(x56871,x56873)))
% 197.76/197.84 [5696]~P57(x56961,x56962,x56963)+P57(x56961,x56962,f326(f285(x56961,x56961),x56963))
% 197.76/197.84 [5697]~P60(x56971,x56972,x56973)+P60(x56971,x56972,f326(f285(x56971,x56971),x56973))
% 197.76/197.84 [5714]~P65(x57141)+E(f45(x57141,f45(x57141,x57142,x57143),x57143),f45(x57141,x57142,x57143))
% 197.76/197.84 [5816]E(x58161,x58162)+~P1(f326(f326(f328(x58163),x58161),f326(a323,x58162)))
% 197.76/197.84 [5863]~P148(x58631)+E(f190(x58631,x58632,f2(a931),x58633),x58633)
% 197.76/197.84 [5885]P57(x58851,x58852,x58853)+~P57(x58851,x58852,f326(f285(x58851,x58851),x58853))
% 197.76/197.84 [5886]P60(x58861,x58862,x58863)+~P60(x58861,x58862,f326(f285(x58861,x58861),x58863))
% 197.76/197.84 [5890]~P111(x58902)+E(f150(x58901,x58902,x58903,f113(x58901)),f113(x58901))
% 197.76/197.84 [5902]E(f170(x59021,x59022,f152(x59021,x59023)),f152(x59021,f170(x59021,x59022,x59023)))+~P1(f326(f137(x59021),x59023))
% 197.76/197.84 [6001]~P1(f326(f326(x60013,x60012),x60012))+P1(f326(f326(f328(x60011),x60012),f269(x60011,x60013)))
% 197.76/197.84 [6003]E(f326(f136(x60031,x60032),x60033),f113(x60031))+P1(f326(x60032,f684(x60033,x60032,x60031)))
% 197.76/197.84 [6062]E(f68(x60621,x60622,x60623),x60622)+P1(f326(x60623,f750(x60622,x60621,x60623)))
% 197.76/197.84 [6161]~P1(f326(f137(x61611),x61612))+P1(f326(f137(x61611),f176(x61611,x61612,x61613)))
% 197.76/197.84 [6162]~P1(f326(f137(x61621),x61623))+P1(f326(f137(x61621),f170(x61621,x61622,x61623)))
% 197.76/197.84 [6163]~P1(f326(f137(x61631),x61633))+P1(f326(f137(x61631),f177(x61631,x61632,x61633)))
% 197.76/197.84 [6164]~P1(f326(f137(x61641),x61643))+P1(f326(f137(x61641),f140(x61641,x61642,x61643)))
% 197.76/197.84 [6165]~P150(x61651,x61652,x61653)+P1(f326(x61651,f45(a1,x61652,x61653)))
% 197.76/197.84 [6181]~P37(x61813,x61811,x61812)+P1(f326(x61811,f763(x61812,x61811,x61813)))
% 197.76/197.84 [6182]~P39(x61823,x61821,x61822)+P1(f326(x61821,f770(x61822,x61821,x61823)))
% 197.76/197.84 [6183]~P39(x61833,x61831,x61832)+P1(f326(x61831,f781(x61832,x61831,x61833)))
% 197.76/197.84 [6184]~P37(x61843,x61841,x61842)+P1(f326(x61841,f806(x61841,x61842,x61843)))
% 197.76/197.84 [6185]~P37(x61853,x61851,x61852)+P1(f326(x61851,f807(x61852,x61851,x61853)))
% 197.76/197.84 [6190]P1(f326(f326(x61901,x61902),x61902))+~P1(f326(f326(f328(x61903),x61902),f269(x61903,x61901)))
% 197.76/197.84 [6205]E(f326(f136(x62051,x62052),x62053),f177(x62051,x62052,x62053))+P1(f326(x62052,f734(x62053,x62052,x62051)))
% 197.76/197.84 [6245]~P1(f326(f137(x62451),x62453))+P1(f326(f137(f932(x62451)),f55(x62451,x62452,x62453)))
% 197.76/197.84 [6279]~P112(x62791)+E(f326(f326(f101(f939(x62791,a927)),f326(f281(x62791),x62792)),f302(x62791,x62792,x62793)),f188(f939(x62791,a927)))
% 197.76/197.84 [6280]~P112(x62801)+E(f326(f326(f101(f939(x62801,a927)),f326(f300(x62801),x62802)),f305(x62801,x62802,x62803)),f188(f939(x62801,a927)))
% 197.76/197.84 [6281]~P112(x62811)+E(f326(f326(f101(f939(x62811,a927)),f326(f300(x62811),x62812)),f304(x62811,x62812,x62813)),f188(f939(x62811,a927)))
% 197.76/197.84 [6513]E(f326(f136(x65131,x65132),x65133),x65133)+~P1(f326(x65132,f685(x65133,x65132,x65131)))
% 197.76/197.84 [6515]E(f326(f326(f308(x65151),f887(x65152,x65153,x65151)),f830(x65152,x65153,x65151)),x65153)+~E(f326(f35(x65151),x65153),f326(a112,x65152))
% 197.76/197.84 [6530]P150(x65301,x65302,x65303)+~P1(f326(x65301,f45(a1,x65302,x65303)))
% 197.76/197.84 [6580]P35(x65801,x65802,x65803)+~P1(f326(x65802,f771(x65803,x65802,x65801)))
% 197.76/197.84 [6581]P35(x65811,x65812,x65813)+~P1(f326(x65812,f777(x65812,x65813,x65811)))
% 197.76/197.84 [6582]P35(x65821,x65822,x65823)+~P1(f326(x65822,f778(x65823,x65822,x65821)))
% 197.76/197.84 [6583]P33(x65831,x65832,x65833)+~P1(f326(x65831,f795(x65833,x65832,x65831)))
% 197.76/197.84 [6584]P34(x65841,x65842,x65843)+~P1(f326(x65841,f864(x65843,x65842,x65841)))
% 197.76/197.84 [6586]E(f177(x65861,x65862,x65863),x65863)+~P1(f326(x65862,f730(x65863,x65862,x65861)))
% 197.76/197.84 [6666]~P1(f326(x66662,f396(x66663,x66662,x66661)))+P1(f326(f247(x66661,x66662),x66663))
% 197.76/197.84 [6667]~P1(f326(x66672,f686(x66673,x66672,x66671)))+P1(f326(f160(x66671,x66672),x66673))
% 197.76/197.84 [6916]~P1(f326(f314(x69161,x69162),f399(x69163,x69162,x69161)))+P1(f326(f314(x69161,x69162),x69163))
% 197.76/197.84 [6917]~P1(f326(f314(x69171,x69172),f405(x69173,x69172,x69171)))+P1(f326(f314(x69171,x69172),x69173))
% 197.76/197.84 [7538]~P65(x75381)+E(f326(f326(f79(x75381),f326(f326(f80(x75381),x75382),f326(f326(f36(x75381),x75383),x75382))),f45(x75381,x75383,x75382)),x75383)
% 197.76/197.84 [7568]P33(x75681,x75682,x75683)+P1(f326(f326(f328(a1),f795(x75683,x75682,x75681)),f302(a1,x75682,x75683)))
% 197.76/197.84 [8005]E(f326(f326(f251(x80051,x80051),f444(x80052,x80053,x80051)),f444(x80052,x80053,x80051)),x80053)+~P1(f326(f326(f328(f938(x80051,x80051)),x80053),f262(x80051,x80052)))
% 197.76/197.84 [8127]~P1(f326(f326(f328(x81271),f542(x81273,x81272,x81271)),f315(x81271,x81273)))+P1(f326(f326(f328(x81271),x81272),f315(x81271,x81273)))
% 197.76/197.84 [8128]~P1(f326(f326(f328(x81281),f615(x81283,x81282,x81281)),f315(x81281,x81283)))+P1(f326(f326(f328(x81281),x81282),f315(x81281,x81283)))
% 197.76/197.84 [8129]~P1(f326(f326(f328(x81291),f617(x81293,x81292,x81291)),f315(x81291,x81293)))+P1(f326(f326(f328(x81291),x81292),f315(x81291,x81293)))
% 197.76/197.84 [8223]P37(a1,x82231,f178(x82232,x82233))+P33(f326(f72(a927,a927,a1,a321),x82231),x82232,x82233)
% 197.76/197.84 [8314]~P65(x83141)+E(f326(f326(f79(x83141),f326(f326(f80(x83141),f326(f326(f36(x83141),x83142),x83143)),x83143)),f45(x83141,x83142,x83143)),x83142)
% 197.76/197.84 [8361]~E(f326(f35(x83611),x83612),f326(a112,x83613))+~P1(f326(f326(f328(x83611),f887(x83613,x83612,x83611)),f830(x83613,x83612,x83611)))
% 197.76/197.84 [8798]~P37(a1,x87981,f178(x87982,x87983))+~P33(f326(f72(a927,a927,a1,a321),x87981),x87982,x87983)
% 197.76/197.84 [8985]P1(f326(f326(f234(f939(f938(x89851,x89851),a927)),f306(x89851,x89852)),f306(x89851,x89853)))+~P1(f326(f326(f234(f939(f938(x89851,x89851),a927)),x89852),f306(x89851,x89853)))
% 197.76/197.84 [9267]E(x92671,f113(x92672))+~P1(f326(f326(f328(f938(f932(x92672),f932(x92672))),f326(f326(f251(f932(x92672),f932(x92672)),x92671),f113(x92672))),f158(x92672,x92673)))
% 197.76/197.84 [9291]E(x92911,f113(x92912))+~P1(f326(f326(f328(f938(f932(x92912),f932(x92912))),f326(f326(f251(f932(x92912),f932(x92912)),f113(x92912)),x92911)),f158(x92912,x92913)))
% 197.76/197.84 [9424]E(f326(f326(f151(x94241),f703(x94242,x94243,x94241)),f704(x94242,x94243,x94241)),x94243)+~P1(f326(f326(f328(f938(f932(x94241),f932(x94241))),f326(f326(f251(f932(x94241),f932(x94241)),f113(x94241)),x94243)),f147(x94241,x94242)))
% 197.76/197.84 [9661]~P129(x96611)+~P1(f326(f326(f235(x96611),f326(f326(f79(x96611),f326(f326(f80(x96611),x96612),x96612)),f326(f326(f80(x96611),x96613),x96613))),f2(x96611)))
% 197.76/197.84 [9713]P1(f326(f61(x97131),x97132))+~P1(f326(f326(f328(f938(f939(x97131,a927),f939(x97131,a927))),f326(f326(f251(f939(x97131,a927),f939(x97131,a927)),x97133),x97132)),f313(x97131)))
% 197.76/197.84 [10010]~P52(x100101,x100102,x100103)+P1(f326(f326(f234(a1),f326(f326(f72(f938(a1,a1),a1,x100101,f250(a1,a1)),f212(x100101)),f230(x100101,x100102,f227(x100101,x100103)))),f2(a1)))
% 197.76/197.84 [10011]~P53(x100111,x100112,x100113)+P1(f326(f326(f235(a1),f326(f326(f72(f938(a1,a1),a1,x100111,f250(a1,a1)),f212(x100111)),f230(x100111,x100112,f227(x100111,x100113)))),f2(a1)))
% 197.76/197.84 [10130]P53(x101301,x101302,x101303)+~P1(f326(f326(f235(a1),f326(f326(f72(f938(a1,a1),a1,x101301,f250(a1,a1)),f212(x101301)),f230(x101301,x101302,f227(x101301,x101303)))),f2(a1)))
% 197.76/197.84 [10131]P52(x101311,x101312,x101313)+~P1(f326(f326(f234(a1),f326(f326(f72(f938(a1,a1),a1,x101311,f250(a1,a1)),f212(x101311)),f230(x101311,x101312,f227(x101311,x101313)))),f2(a1)))
% 197.76/197.84 [10485]~P122(x104851)+~P1(f326(f326(f235(x104851),f326(f326(f79(x104851),f326(f326(f243(x104851),x104852),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104851),x104853),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104851)))
% 197.76/197.84 [4984]~E(x49843,f113(x49841))+E(f326(f326(f134(x49841),x49842),x49843),x49842)
% 197.76/197.84 [4985]~E(x49852,f113(x49851))+E(f326(f326(f134(x49851),x49852),x49853),x49853)
% 197.76/197.84 [4991]~E(x49912,f2(a931))+E(f326(f326(f175(x49911),x49912),x49913),f113(x49911))
% 197.76/197.84 [5000]~E(x50003,f113(x50001))+E(f326(f326(f175(x50001),x50002),x50003),f113(x50001))
% 197.76/197.84 [5039]~E(x50391,x50393)+E(x50391,f326(f326(f134(x50392),f113(x50392)),x50393))
% 197.76/197.84 [5130]~P2(x51302)+E(f326(f188(f939(x51301,x51302)),x51303),f188(x51302))
% 197.76/197.84 [5131]~P119(x51312)+E(f326(f241(f939(x51311,x51312)),x51313),f241(x51312))
% 197.76/197.84 [5149]E(x51491,f113(x51492))+~E(f326(f326(f134(x51492),x51493),x51491),x51493)
% 197.76/197.84 [5150]E(x51501,f113(x51502))+~E(f326(f326(f134(x51502),x51501),x51503),x51503)
% 197.76/197.84 [5158]E(x51581,f113(x51582))+~E(f326(f326(f134(x51582),x51583),x51581),f113(x51582))
% 197.76/197.84 [5159]E(x51591,f113(x51592))+~E(f326(f326(f134(x51592),x51591),x51593),f113(x51592))
% 197.76/197.84 [5184]~E(x51842,f2(a931))+E(f326(f326(f80(a931),x51841),x51842),f326(f326(f80(a931),x51843),x51842))
% 197.76/197.84 [5186]~E(x51861,f2(a931))+E(f326(f326(f80(a931),x51861),x51862),f326(f326(f80(a931),x51861),x51863))
% 197.76/197.84 [5243]~P3(x52431)+E(f326(f326(f110(x52431),x52432),x52433),f326(f326(f110(x52431),x52433),x52432))
% 197.76/197.84 [5245]~P104(x52451)+E(f326(f326(f110(x52451),x52452),x52453),f326(f326(f110(x52451),x52453),x52452))
% 197.76/197.84 [5246]~P115(x52461)+E(f326(f326(f80(x52461),x52462),x52463),f326(f326(f80(x52461),x52463),x52462))
% 197.76/197.84 [5247]~P115(x52471)+E(f326(f326(f79(x52471),x52472),x52473),f326(f326(f79(x52471),x52473),x52472))
% 197.76/197.84 [5248]~P3(x52481)+E(f326(f326(f101(x52481),x52482),x52483),f326(f326(f101(x52481),x52483),x52482))
% 197.76/197.84 [5250]~P105(x52501)+E(f326(f326(f101(x52501),x52502),x52503),f326(f326(f101(x52501),x52503),x52502))
% 197.76/197.84 [5252]~P111(x52521)+E(f326(f326(f232(x52521),x52522),x52523),f326(f326(f232(x52521),x52523),x52522))
% 197.76/197.84 [5254]~P111(x52541)+E(f326(f326(f233(x52541),x52542),x52543),f326(f326(f233(x52541),x52543),x52542))
% 197.76/197.84 [5316]E(f45(a931,x53161,x53162),f2(a931))+~E(x53161,f326(f326(f80(a931),x53162),x53163))
% 197.76/197.84 [5317]E(f45(a1,x53171,x53172),f2(a1))+~E(x53171,f326(f326(f80(a1),x53172),x53173))
% 197.76/197.84 [5380]E(x53801,x53802)+~E(f326(f326(f79(a931),x53803),x53801),f326(f326(f79(a931),x53803),x53802))
% 197.76/197.84 [5381]E(x53811,x53812)+~E(f326(f326(f79(a931),x53811),x53813),f326(f326(f79(a931),x53812),x53813))
% 197.76/197.84 [5391]~P72(x53911)+E(f326(f326(f79(x53911),x53912),f326(f78(x53911),x53913)),f326(f326(f3(x53911),x53912),x53913))
% 197.76/197.84 [5392]~P80(x53921)+E(f326(f326(f79(x53921),x53922),f326(f78(x53921),x53923)),f326(f326(f3(x53921),x53922),x53923))
% 197.76/197.84 [5393]~P117(x53931)+E(f326(f326(f79(x53931),x53932),f326(f78(x53931),x53933)),f326(f326(f3(x53931),x53932),x53933))
% 197.76/197.84 [5394]~P99(x53941)+E(f326(f326(f101(x53941),x53942),f326(f78(x53941),x53943)),f326(f326(f3(x53941),x53942),x53943))
% 197.76/197.84 [5395]~P80(x53951)+E(f326(f326(f3(x53951),x53952),f326(f78(x53951),x53953)),f326(f326(f79(x53951),x53952),x53953))
% 197.76/197.84 [5433]~P1(f326(x54333,x54332))+P1(f326(f326(f328(x54331),x54332),x54333))
% 197.76/197.84 [5435]~P79(x54352)+E(f326(f326(f8(x54351,x54352),x54353),f188(f939(x54351,a927))),f2(x54352))
% 197.76/197.84 [5437]~P75(x54372)+E(f326(f326(f11(x54371,x54372),x54373),f188(f939(x54371,a927))),f77(x54372))
% 197.76/197.84 [5489]~E(x54892,f326(f326(f79(a931),x54891),x54893))+P1(f326(f326(f234(a931),x54891),x54892))
% 197.76/197.84 [5492]~E(x54922,f188(f939(x54921,a927)))+E(f326(f326(f60(x54921),x54922),x54923),f188(f939(f939(x54921,a927),a927)))
% 197.76/197.84 [5493]~E(x54932,f188(f939(x54931,a927)))+E(f188(f939(f939(x54931,a927),a927)),f326(f326(f60(x54931),x54932),x54933))
% 197.76/197.84 [5566]~E(f326(f283(x55662,x55663),x55661),f188(f939(x55663,a927)))+E(x55661,f188(f939(f938(x55662,x55663),a927)))
% 197.76/197.84 [5567]~E(f326(f263(x55672,x55673),x55671),f188(f939(x55672,a927)))+E(x55671,f188(f939(f938(x55672,x55673),a927)))
% 197.76/197.84 [5599]E(f326(f283(x55991,x55992),x55993),f188(f939(x55992,a927)))+~E(x55993,f188(f939(f938(x55991,x55992),a927)))
% 197.76/197.84 [5600]E(f326(f263(x56001,x56002),x56003),f188(f939(x56001,a927)))+~E(x56003,f188(f939(f938(x56001,x56002),a927)))
% 197.76/197.84 [5603]E(f273(x56031,x56032,x56033),f326(f326(f3(a99),x56032),x56033))+P1(f326(f326(f235(a99),x56032),x56033))
% 197.76/197.84 [5619]P1(f326(x56191,x56192))+~P1(f326(f326(f328(x56193),x56192),x56191))
% 197.76/197.84 [5657]E(x56571,x56572)+~E(f326(f78(f939(x56573,a927)),x56571),f326(f78(f939(x56573,a927)),x56572))
% 197.76/197.84 [5668]~E(x56681,f188(f939(x56682,a927)))+~P1(f326(f326(f328(x56682),x56683),x56681))
% 197.76/197.84 [5698]~E(x56982,f326(f326(f79(a1),x56981),f326(f100(a1),x56983)))+P1(f326(f326(f234(a1),x56981),x56982))
% 197.76/197.84 [5712]E(f326(f326(f308(x57121),x57122),x57123),x57123)+~P1(f326(f326(f328(x57121),x57122),x57123))
% 197.76/197.84 [5723]E(x57231,f188(f939(x57232,a927)))+~E(f326(f326(f60(x57232),x57231),x57233),f188(f939(f939(x57232,a927),a927)))
% 197.76/197.84 [5724]E(x57241,f188(f939(x57242,a927)))+~E(f188(f939(f939(x57242,a927),a927)),f326(f326(f60(x57242),x57241),x57243))
% 197.76/197.84 [5731]~P113(x57311)+E(f326(f326(f80(x57311),f326(f78(x57311),x57312)),f326(f78(x57311),x57313)),f326(f326(f80(x57311),x57312),x57313))
% 197.76/197.84 [5732]~P68(x57321)+E(f326(f326(f290(x57321),f326(f78(x57321),x57322)),f326(f78(x57321),x57323)),f326(f326(f290(x57321),x57322),x57323))
% 197.76/197.84 [5764]~P1(f326(x57643,x57642))+P1(f326(f326(f328(x57641),x57642),f326(f261(x57641),x57643)))
% 197.76/197.84 [5789]E(x57891,f2(a931))+E(f326(f172(x57892),f169(x57892,x57891,x57893)),f326(f326(f308(x57892),x57893),f188(f939(x57892,a927))))
% 197.76/197.84 [5809]E(f170(x58091,x58092,x58093),x58093)+P1(f326(f326(f328(x58091),x58092),f326(f172(x58091),x58093)))
% 197.76/197.84 [5894]~P1(f326(f137(x58941),x58943))+P1(f326(f137(x58941),f326(f136(x58941,x58942),x58943)))
% 197.76/197.84 [5937]~P65(x59371)+E(f326(f326(f36(x59371),f45(x59371,x59372,x59373)),x59373),f2(x59371))
% 197.76/197.84 [5956]E(f176(x59561,f326(f326(f151(x59561),x59562),f113(x59561)),x59563),f113(x59561))+P1(f326(f326(f328(a931),f2(a931)),x59563))
% 197.76/197.84 [5962]E(x59621,f2(a931))+E(f326(f171(x59622),f169(x59622,x59621,x59623)),f169(x59622,f326(f326(f3(a931),x59621),f77(a931)),x59623))
% 197.76/197.84 [6013]E(f326(f326(f151(x60131),x60132),x60133),f140(x60131,x60132,x60133))+P1(f326(f326(f328(x60131),x60132),f326(f172(x60131),x60133)))
% 197.76/197.84 [6022]E(x60221,x60222)+~E(f326(f326(f80(a931),f326(a112,x60223)),x60221),f326(f326(f80(a931),f326(a112,x60223)),x60222))
% 197.76/197.84 [6023]~E(x60232,f326(f326(f79(a1),x60231),f326(f100(a1),f326(a112,x60233))))+P1(f326(f326(f235(a1),x60231),x60232))
% 197.76/197.84 [6086]~P34(x60861,x60862,x60863)+P35(a931,x60861,f139(a931,f326(f301(a931,x60862),x60863)))
% 197.76/197.84 [6140]~E(x61403,f113(x61401))+E(f326(f326(f326(f183(f932(x61401),f932(x61401)),x61402),f167(x61401)),x61403),f113(x61401))
% 197.76/197.84 [6144]P1(f326(x61441,x61442))+~P1(f326(f326(f328(x61443),x61442),f326(f261(x61443),x61441)))
% 197.76/197.84 [6176]E(x61761,x61762)+~E(f326(f326(f308(x61763),x61761),f188(f939(x61763,a927))),f326(f326(f308(x61763),x61762),f188(f939(x61763,a927))))
% 197.76/197.84 [6192]~P112(x61921)+E(f326(f326(f101(f939(x61921,a927)),f326(f281(x61921),x61922)),f326(f301(x61921,x61922),x61923)),f188(f939(x61921,a927)))
% 197.76/197.84 [6231]E(f140(x62311,x62312,x62313),x62313)+~P1(f326(f326(f328(x62311),x62312),f326(f172(x62311),x62313)))
% 197.76/197.84 [6253]~P83(x62531)+E(f326(f309(x62531,x62531,f78(x62531)),f326(f301(x62531,x62532),x62533)),f304(x62531,f326(f78(x62531),x62533),f326(f78(x62531),x62532)))
% 197.76/197.84 [6264]E(f326(f189(f932(x62641)),f170(x62641,x62642,x62643)),f326(f189(f932(x62641)),x62643))+P1(f326(f326(f328(x62641),x62642),f326(f172(x62641),x62643)))
% 197.76/197.84 [6320]~P112(x63201)+E(f326(f326(f101(f939(x63201,a927)),f326(f301(x63201,x63202),x63203)),f326(f282(x63201),x63203)),f188(f939(x63201,a927)))
% 197.76/197.84 [6340]~P83(x63401)+E(f326(f309(x63401,x63401,f78(x63401)),f302(x63401,x63402,x63403)),f302(x63401,f326(f78(x63401),x63403),f326(f78(x63401),x63402)))
% 197.76/197.84 [6341]~P83(x63411)+E(f326(f309(x63411,x63411,f78(x63411)),f305(x63411,x63412,x63413)),f305(x63411,f326(f78(x63411),x63413),f326(f78(x63411),x63412)))
% 197.76/197.84 [6406]E(f176(x64061,f326(f326(f151(x64061),x64062),f113(x64061)),x64063),f326(f326(f151(x64061),x64062),f113(x64061)))+~P1(f326(f326(f328(a931),f2(a931)),x64063))
% 197.76/197.84 [6411]P34(x64111,x64112,x64113)+~P35(a931,x64111,f139(a931,f326(f301(a931,x64112),x64113)))
% 197.76/197.84 [6414]~P83(x64141)+E(f326(f309(x64141,x64141,f78(x64141)),f304(x64141,x64142,x64143)),f326(f301(x64141,f326(f78(x64141),x64143)),f326(f78(x64141),x64142)))
% 197.76/197.84 [6434]~P66(x64341)+E(f45(x64341,f326(f78(x64341),f45(x64341,x64342,x64343)),x64343),f45(x64341,f326(f78(x64341),x64342),x64343))
% 197.76/197.84 [6528]~P1(f326(f61(f938(x65282,x65281)),x65283))+P1(f326(f61(x65281),f326(f283(x65282,x65281),x65283)))
% 197.76/197.84 [6529]~P1(f326(f61(f938(x65291,x65292)),x65293))+P1(f326(f61(x65291),f326(f263(x65291,x65292),x65293)))
% 197.76/197.84 [6534]~P112(x65341)+E(f326(f326(f101(f939(x65341,a927)),f302(x65341,x65342,x65343)),f326(f303(x65341),x65343)),f188(f939(x65341,a927)))
% 197.76/197.84 [6535]~P112(x65351)+E(f326(f326(f101(f939(x65351,a927)),f305(x65351,x65352,x65353)),f326(f282(x65351),x65353)),f188(f939(x65351,a927)))
% 197.76/197.84 [6536]~P112(x65361)+E(f326(f326(f101(f939(x65361,a927)),f304(x65361,x65362,x65363)),f326(f303(x65361),x65363)),f188(f939(x65361,a927)))
% 197.76/197.84 [6607]E(f326(f326(f164(x66071),x66072),f632(x66072,x66073,x66071)),x66073)+~P1(f326(f326(f328(x66071),x66073),f326(f172(x66071),x66072)))
% 197.76/197.84 [6751]E(x67511,f113(x67512))+~E(f326(f326(f326(f183(f932(x67512),f932(x67512)),x67513),f167(x67512)),x67511),f113(x67512))
% 197.76/197.84 [6854]~P1(f326(f61(f938(x68542,x68541)),x68543))+P1(f326(f61(f938(x68541,x68542)),f326(f285(x68542,x68541),x68543)))
% 197.76/197.84 [6877]E(x68771,x68772)+~E(f289(a931,f286(a931),x68773,x68771),f326(f326(f308(a931),x68772),f188(f939(a931,a927))))
% 197.76/197.84 [6878]E(x68781,x68782)+~E(f289(a931,f286(a931),x68781,x68782),f326(f326(f308(a931),x68783),f188(f939(a931,a927))))
% 197.76/197.84 [7006]P60(x70061,x70062,x70063)+P1(f326(f326(f328(x70061),f630(x70063,x70062,x70061)),x70062))
% 197.76/197.84 [7007]P60(x70071,x70072,x70073)+P1(f326(f326(f328(x70071),f629(x70073,x70072,x70071)),x70072))
% 197.76/197.84 [7018]P1(f326(f314(x70181,x70182),x70183))+P1(f326(f326(x70182,f399(x70183,x70182,x70181)),x70183))
% 197.76/197.84 [7019]P1(f326(f314(x70191,x70192),x70193))+P1(f326(f326(x70192,f405(x70193,x70192,x70191)),x70193))
% 197.76/197.84 [7050]E(f326(f189(f932(x70501)),f170(x70501,x70502,x70503)),f326(f326(f3(a931),f326(f189(f932(x70501)),x70503)),f77(a931)))+~P1(f326(f326(f328(x70501),x70502),f326(f172(x70501),x70503)))
% 197.76/197.84 [7089]P1(f326(f247(x70891,x70892),x70893))+P1(f326(f326(f328(x70891),f396(x70893,x70892,x70891)),x70893))
% 197.76/197.84 [7098]~P1(f326(f61(f938(x70982,x70981)),f326(f285(x70981,x70982),x70983)))+P1(f326(f61(f938(x70981,x70982)),x70983))
% 197.76/197.84 [7156]~P1(f326(f326(f328(x71561),x71562),f326(f172(x71561),f114(x71561,x71563))))+P1(f326(f326(f328(x71561),x71562),f326(f172(x71561),x71563)))
% 197.76/197.84 [7161]P31(x71611,x71612,x71613)+P1(f326(f326(f328(f930(x71611)),f779(x71613,x71612,x71611)),x71613))
% 197.76/197.84 [7191]E(f326(f136(x71911,x71912),x71913),x71913)+P1(f326(f326(f328(x71911),f685(x71913,x71912,x71911)),f326(f172(x71911),x71913)))
% 197.76/197.84 [7205]E(f326(f136(x72051,x72052),x72053),f113(x72051))+P1(f326(f326(f328(x72051),f684(x72053,x72052,x72051)),f326(f172(x72051),x72053)))
% 197.76/197.84 [7230]P35(x72301,x72302,x72303)+P1(f326(f326(f328(x72301),f771(x72303,x72302,x72301)),f326(f172(x72301),x72303)))
% 197.76/197.84 [7231]P35(x72311,x72312,x72313)+P1(f326(f326(f328(x72311),f778(x72313,x72312,x72311)),f326(f172(x72311),x72313)))
% 197.76/197.84 [7232]P35(x72321,x72322,x72323)+P1(f326(f326(f328(x72321),f777(x72322,x72323,x72321)),f326(f172(x72321),x72323)))
% 197.76/197.84 [7235]E(f177(x72351,x72352,x72353),x72353)+P1(f326(f326(f328(x72351),f730(x72353,x72352,x72351)),f326(f172(x72351),x72353)))
% 197.76/197.84 [7312]P1(f326(f160(x73121,x73122),x73123))+P1(f326(f326(f328(x73121),f686(x73123,x73122,x73121)),f326(f172(x73121),x73123)))
% 197.76/197.84 [7321]~P37(x73211,x73213,x73212)+P1(f326(f326(f328(x73211),f763(x73212,x73213,x73211)),f326(f172(x73211),x73212)))
% 197.76/197.84 [7322]~P39(x73221,x73223,x73222)+P1(f326(f326(f328(x73221),f770(x73222,x73223,x73221)),f326(f172(x73221),x73222)))
% 197.76/197.84 [7323]~P39(x73231,x73233,x73232)+P1(f326(f326(f328(x73231),f781(x73232,x73233,x73231)),f326(f172(x73231),x73232)))
% 197.76/197.84 [7324]~P37(x73241,x73242,x73243)+P1(f326(f326(f328(x73241),f806(x73242,x73243,x73241)),f326(f172(x73241),x73243)))
% 197.76/197.84 [7325]~P37(x73251,x73253,x73252)+P1(f326(f326(f328(x73251),f807(x73252,x73253,x73251)),f326(f172(x73251),x73252)))
% 197.76/197.84 [7359]P1(f326(f326(f328(x73591),x73592),f344(x73593,x73592,x73591)))+~P1(f326(f326(f328(x73591),x73592),f37(f939(x73591,a927),x73593)))
% 197.76/197.84 [7360]~P79(x73601)+E(f326(f326(f79(x73601),f326(f326(f8(a931,x73601),x73602),f326(f281(a931),x73603))),f326(x73602,x73603)),f326(f326(f8(a931,x73601),x73602),f326(f281(a931),f326(a112,x73603))))
% 197.76/197.84 [7372]P34(x73721,x73722,x73723)+P1(f326(f326(f328(a931),f864(x73723,x73722,x73721)),f326(f301(a931,x73722),x73723)))
% 197.76/197.84 [7452]~P37(x74522,x74521,x74523)+P1(f326(x74521,f326(f326(f164(x74522),x74523),f766(x74523,x74521,x74522))))
% 197.76/197.84 [7465]~P1(f326(f326(f328(x74651),x74652),f379(x74652,x74653,x74651)))+P1(f326(f326(f328(x74651),x74652),f38(f939(x74651,a927),x74653)))
% 197.76/197.84 [7498]~P79(x74981)+E(f326(f326(f79(x74981),f326(f326(f8(a931,x74981),x74982),f326(f300(a931),x74983))),f326(x74982,f326(a112,x74983))),f326(f326(f8(a931,x74981),x74982),f326(f300(a931),f326(a112,x74983))))
% 197.76/197.84 [7644]P1(f326(f326(f328(f932(x76441)),x76442),f161(x76441,x76443)))+P1(f326(f326(f328(x76441),f672(x76443,x76442,x76441)),f326(f172(x76441),x76442)))
% 197.76/197.84 [7658]~P1(f326(f326(f328(f932(x76581)),x76582),f161(x76581,f315(x76581,x76583))))+P1(f326(f326(f328(f932(x76581)),x76582),f315(f932(x76581),f157(x76581,x76583))))
% 197.76/197.84 [7686]~P1(f326(f326(f328(f932(x76861)),x76862),f315(f932(x76861),f157(x76861,x76863))))+P1(f326(f326(f328(f932(x76861)),x76862),f161(x76861,f315(x76861,x76863))))
% 197.76/197.84 [7722]E(f326(f326(f326(f183(f932(x77221),f932(x77221)),x77222),f167(x77221)),x77223),x77223)+~P1(f326(f326(f234(a931),f326(f189(f932(x77221)),x77223)),f77(a931)))
% 197.76/197.84 [7755]E(f326(f326(f134(x77551),f773(x77552,x77553,x77551)),f326(f326(f151(x77551),x77553),f774(x77552,x77553,x77551))),x77552)+~P1(f326(f326(f328(x77551),x77553),f326(f172(x77551),x77552)))
% 197.76/197.84 [7756]E(f326(f326(f134(x77561),f767(x77562,x77563,x77561)),f326(f326(f151(x77561),x77563),f769(x77562,x77563,x77561))),x77562)+~P1(f326(f326(f328(x77561),x77563),f326(f172(x77561),x77562)))
% 197.76/197.84 [7757]E(f326(f326(f134(x77571),f775(x77572,x77573,x77571)),f326(f326(f151(x77571),x77573),f776(x77572,x77573,x77571))),x77572)+~P1(f326(f326(f328(x77571),x77573),f326(f172(x77571),x77572)))
% 197.76/197.84 [7779]~P27(x77791,x77792,x77793,f241(f939(x77791,a927)))+P27(f932(x77791),f932(x77792),f326(f154(x77791,x77792),x77793),f241(f939(f932(x77791),a927)))
% 197.76/197.84 [7929]E(x79291,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x79292)),x79293)),f326(f255(a931,a931),x79292)))+~P1(f326(f48(x79291,x79293),x79292))
% 197.76/197.84 [7937]P27(x79371,x79372,x79373,f241(f939(x79371,a927)))+~P27(f932(x79371),f932(x79372),f326(f154(x79371,x79372),x79373),f241(f939(f932(x79371),a927)))
% 197.76/197.84 [7980]P1(f326(f326(f328(f939(x79801,a927)),f379(x79802,x79803,x79801)),x79803))+P1(f326(f326(f328(x79801),x79802),f38(f939(x79801,a927),x79803)))
% 197.76/197.84 [8069]P1(f326(f326(f328(f932(x80691)),x80692),f161(x80691,x80693)))+~P1(f326(f326(f328(x80691),f672(x80693,x80692,x80691)),x80693))
% 197.76/197.84 [8177]P35(x81771,x81772,x81773)+~P1(f326(x81772,f326(f326(f164(x81771),x81773),f772(x81773,x81772,x81771))))
% 197.76/197.84 [8202]E(x82021,x82022)+~E(f326(f326(f9(x82023,f939(x82023,a927),a927),f328(x82023)),x82021),f326(f326(f9(x82023,f939(x82023,a927),a927),f328(x82023)),x82022))
% 197.76/197.84 [8210]~P1(f326(f326(f328(f938(x82101,x82101)),x82103),f262(x82101,x82102)))+P1(f326(f326(f328(x82101),f444(x82102,x82103,x82101)),x82102))
% 197.76/197.84 [8212]~P1(f326(f326(f328(x82121),x82123),f37(f939(x82121,a927),x82122)))+P1(f326(f326(f328(f939(x82121,a927)),f344(x82122,x82123,x82121)),x82122))
% 197.76/197.84 [8334]P27(x83341,x83342,f91(x83342,x83341,f241(f939(x83342,a927)),x83343),f241(f939(x83341,a927)))+~E(f326(f309(x83342,x83341,x83343),f241(f939(x83342,a927))),f241(f939(x83341,a927)))
% 197.76/197.84 [8390]~P1(f326(f326(f328(x83901),x83902),f326(f172(x83901),f767(x83903,x83902,x83901))))+~P1(f326(f326(f328(x83901),x83902),f326(f172(x83901),x83903)))
% 197.76/197.84 [8391]~P1(f326(f326(f328(x83911),x83912),f326(f172(x83911),f776(x83913,x83912,x83911))))+~P1(f326(f326(f328(x83911),x83912),f326(f172(x83911),x83913)))
% 197.76/197.84 [8418]P34(f326(f72(a927,a927,a931,a321),x84181),x84182,x84183)+P37(a931,x84181,f139(a931,f326(f301(a931,x84182),x84183)))
% 197.76/197.84 [8578]E(x85781,f113(x85782))+P1(f326(f326(f328(x85782),f326(f250(x85782,f938(a99,a99)),f326(f274(x85782,x85781),x85783))),f326(f172(x85782),x85781)))
% 197.76/197.84 [8677]~P74(x86771)+E(f326(f142(x86771,x86771,f326(f9(x86771,x86771,x86771),f79(x86771)),x86772),f326(f168(x86771),x86773)),f326(f142(x86771,x86771,f79(x86771),x86772),x86773))
% 197.76/197.84 [8868]~P27(x88682,x88681,x88683,f241(f939(x88682,a927)))+E(f326(f309(x88681,x88682,f91(x88682,x88681,f241(f939(x88682,a927)),x88683)),f241(f939(x88681,a927))),f241(f939(x88682,a927)))
% 197.76/197.84 [8938]~P34(f326(f72(a927,a927,a931,a321),x89381),x89382,x89383)+~P37(a931,x89381,f139(a931,f326(f301(a931,x89382),x89383)))
% 197.76/197.84 [9187]~P111(x91871)+E(f326(f172(x91871),f149(x91871,x91871,f7(x91871),x91872,x91873)),f326(f326(f308(x91871),x91872),f326(f172(x91871),x91873)))
% 197.76/197.84 [9196]~E(f326(x91963,f326(f91(x91961,x91962,f241(f939(x91961,a927)),x91963),f823(x91963,x91962,x91961))),f823(x91963,x91962,x91961))+E(f326(f309(x91961,x91962,x91963),f241(f939(x91961,a927))),f241(f939(x91962,a927)))
% 197.76/197.84 [9198]P1(f326(f326(f235(a931),f2(a931)),f638(x91981,x91982,x91983)))+~P1(f326(f326(f328(f938(x91983,x91983)),x91982),f326(f326(f288(x91983,x91983,x91983),x91981),f306(x91983,x91981))))
% 197.76/197.84 [9482]~P62(x94821,x94822)+~P1(f326(f326(f328(f938(x94821,x94821)),f326(f326(f251(x94821,x94821),x94823),x94823)),f326(f326(f288(x94821,x94821,x94821),x94822),f306(x94821,x94822))))
% 197.76/197.84 [9616]~E(f326(f326(f101(f939(f938(x96161,x96161),a927)),f326(f285(x96161,x96161),x96162)),f306(x96161,x96162)),f188(f939(f938(x96161,x96161),a927)))+~P1(f326(f326(f328(f938(x96161,x96161)),f326(f326(f251(x96161,x96161),x96163),x96163)),f326(f326(f288(x96161,x96161,x96161),x96162),f306(x96161,x96162))))
% 197.76/197.84 [9800]~P1(f326(f61(x98001),x98002))+P1(f326(f326(f234(a931),f326(f35(x98001),f326(f326(f3(f939(x98001,a927)),x98002),f326(f326(f308(x98001),x98003),f188(f939(x98001,a927)))))),f326(f35(x98001),x98002)))
% 197.76/197.84 [5304]~E(x53043,f113(x53041))+E(f144(x53041,f326(f326(f151(x53041),x53042),x53043)),x53042)
% 197.76/197.84 [5313]~E(x53133,f113(x53131))+E(f114(x53131,f326(f326(f151(x53131),x53132),x53133)),f113(x53131))
% 197.76/197.84 [5343]E(x53431,f113(x53432))+E(f144(x53432,f326(f326(f151(x53432),x53433),x53431)),f144(x53432,x53431))
% 197.76/197.84 [5345]E(x53451,f113(x53452))+E(f144(x53452,f326(f326(f134(x53452),x53453),x53451)),f144(x53452,x53451))
% 197.76/197.84 [5350]~E(x53503,f113(x53501))+E(f114(x53501,f326(f326(f134(x53501),x53502),x53503)),f114(x53501,x53502))
% 197.76/197.84 [5352]~E(x53523,f113(x53521))+E(f144(x53521,f326(f326(f134(x53521),x53522),x53523)),f144(x53521,x53522))
% 197.76/197.84 [5385]E(x53851,f113(x53852))+E(f326(f141(x53852),f326(f326(f134(x53852),x53851),x53853)),f326(f141(x53852),x53851))
% 197.76/197.84 [5413]~E(x54132,f113(x54131))+E(f326(f141(x54131),f326(f326(f134(x54131),x54132),x54133)),f326(f141(x54131),x54133))
% 197.76/197.84 [5465]~P3(x54651)+E(f326(f326(f110(x54651),x54652),f326(f326(f101(x54651),x54652),x54653)),x54652)
% 197.76/197.84 [5466]~P3(x54661)+E(f326(f326(f101(x54661),x54662),f326(f326(f110(x54661),x54662),x54663)),x54662)
% 197.76/197.84 [5467]~P111(x54671)+E(f326(f326(f232(x54671),x54672),f326(f326(f233(x54671),x54672),x54673)),x54672)
% 197.76/197.84 [5468]~P111(x54681)+E(f326(f326(f233(x54681),x54682),f326(f326(f232(x54681),x54682),x54683)),x54682)
% 197.76/197.84 [5487]~P65(x54871)+E(f45(x54871,f326(f326(f80(x54871),x54872),x54873),x54873),f2(x54871))
% 197.76/197.84 [5488]~P65(x54881)+E(f45(x54881,f326(f326(f80(x54881),x54882),x54883),x54882),f2(x54881))
% 197.76/197.84 [5561]~P72(x55611)+E(f326(f78(x55611),f326(f326(f3(x55611),x55612),x55613)),f326(f326(f3(x55611),x55613),x55612))
% 197.76/197.84 [5623]E(x56231,f113(x56232))+E(f114(x56232,f326(f326(f151(x56232),x56233),x56231)),f326(f326(f151(x56232),x56233),f114(x56232,x56231)))
% 197.76/197.84 [5624]E(x56241,f113(x56242))+E(f114(x56242,f326(f326(f134(x56242),x56243),x56241)),f326(f326(f134(x56242),x56243),f114(x56242,x56241)))
% 197.76/197.84 [5627]~P7(x56271)+E(f37(x56271,f326(f326(f308(x56271),x56272),x56273)),f326(f326(f110(x56271),x56272),f37(x56271,x56273)))
% 197.76/197.84 [5628]~P7(x56281)+E(f38(x56281,f326(f326(f308(x56281),x56282),x56283)),f326(f326(f101(x56281),x56282),f38(x56281,x56283)))
% 197.76/197.84 [5673]~P3(x56731)+E(f326(f326(f110(x56731),x56732),f326(f326(f110(x56731),x56732),x56733)),f326(f326(f110(x56731),x56732),x56733))
% 197.76/197.84 [5675]~P104(x56751)+E(f326(f326(f110(x56751),x56752),f326(f326(f110(x56751),x56752),x56753)),f326(f326(f110(x56751),x56752),x56753))
% 197.76/197.84 [5676]~P100(x56761)+E(f326(f326(f80(x56761),x56762),f326(f326(f80(x56761),x56762),x56763)),f326(f326(f80(x56761),x56762),x56763))
% 197.76/197.84 [5677]~P3(x56771)+E(f326(f326(f101(x56771),x56772),f326(f326(f101(x56771),x56772),x56773)),f326(f326(f101(x56771),x56772),x56773))
% 197.76/197.84 [5679]~P105(x56791)+E(f326(f326(f101(x56791),x56792),f326(f326(f101(x56791),x56792),x56793)),f326(f326(f101(x56791),x56792),x56793))
% 197.76/197.84 [5681]~P111(x56811)+E(f326(f326(f232(x56811),x56812),f326(f326(f232(x56811),x56812),x56813)),f326(f326(f232(x56811),x56812),x56813))
% 197.76/197.84 [5683]~P111(x56831)+E(f326(f326(f233(x56831),x56832),f326(f326(f233(x56831),x56832),x56833)),f326(f326(f233(x56831),x56832),x56833))
% 197.76/197.84 [5690]~P65(x56901)+E(f45(x56901,f326(f326(f79(x56901),x56902),x56903),x56903),f45(x56901,x56902,x56903))
% 197.76/197.84 [5691]~P65(x56911)+E(f45(x56911,f326(f326(f79(x56911),x56912),x56913),x56912),f45(x56911,x56913,x56912))
% 197.76/197.84 [5699]~P113(x56991)+E(f326(f326(f80(x56991),x56992),f326(f78(x56991),x56993)),f326(f78(x56991),f326(f326(f80(x56991),x56992),x56993)))
% 197.76/197.84 [5700]~P68(x57001)+E(f326(f326(f290(x57001),x57002),f326(f78(x57001),x57003)),f326(f78(x57001),f326(f326(f290(x57001),x57002),x57003)))
% 197.76/197.84 [5701]~P86(x57011)+E(f326(f326(f79(x57011),x57012),f326(f165(x57011),x57013)),f326(f165(x57011),f326(f326(f151(x57011),x57012),x57013)))
% 197.76/197.84 [5729]~P113(x57291)+E(f326(f326(f80(x57291),f326(f78(x57291),x57292)),x57293),f326(f326(f80(x57291),x57292),f326(f78(x57291),x57293)))
% 197.76/197.84 [5735]~P10(x57351,x57352,x57353)+E(f37(f939(x57351,a927),f326(f326(f60(x57351),x57352),x57353)),x57352)
% 197.76/197.84 [5801]~P118(x58011)+E(f326(f326(f80(x58011),x58012),f326(f326(f243(x58011),x58012),x58013)),f326(f326(f243(x58011),x58012),f326(a112,x58013)))
% 197.76/197.84 [5802]~P115(x58021)+E(f326(f326(f80(x58021),x58022),f326(f326(f243(x58021),x58022),x58023)),f326(f326(f243(x58021),x58022),f326(a112,x58023)))
% 197.76/197.84 [5812]~P80(x58121)+E(f326(f326(f79(x58121),f326(f78(x58121),x58122)),f326(f326(f79(x58121),x58122),x58123)),x58123)
% 197.76/197.84 [5835]~P148(x58351)+E(f326(f326(f243(x58351),f326(f100(x58351),x58352)),x58353),f326(f100(x58351),f326(f326(f243(a931),x58352),x58353)))
% 197.76/197.84 [5836]~P145(x58361)+E(f326(f326(f243(x58361),f326(f102(x58361),x58362)),x58363),f326(f102(x58361),f326(f326(f243(a1),x58362),x58363)))
% 197.76/197.84 [5842]~P89(x58421)+E(f326(f75(x58421),f326(f326(f3(x58421),x58422),x58423)),f326(f75(x58421),f326(f326(f3(x58421),x58423),x58422)))
% 197.76/197.84 [5845]~P122(x58451)+E(f326(f326(f80(x58451),f81(x58451,x58452)),f81(x58451,x58453)),f81(x58451,f326(f326(f80(x58451),x58452),x58453)))
% 197.76/197.84 [5849]E(x58491,f113(x58492))+E(f326(f326(f134(x58492),f326(f171(x58492),x58491)),x58493),f326(f171(x58492),f326(f326(f134(x58492),x58491),x58493)))
% 197.76/197.84 [5854]~E(x58542,f326(a112,f326(f326(f79(a931),x58541),x58543)))+P1(f326(f326(f235(a931),x58541),x58542))
% 197.76/197.84 [5855]~P122(x58551)+E(f326(f326(f243(x58551),f326(f75(x58551),x58552)),x58553),f326(f75(x58551),f326(f326(f243(x58551),x58552),x58553)))
% 197.76/197.84 [5856]~P113(x58561)+E(f326(f326(f80(x58561),f326(f78(x58561),x58562)),x58563),f326(f78(x58561),f326(f326(f80(x58561),x58562),x58563)))
% 197.76/197.84 [5857]~P126(x58571)+E(f326(f326(f290(x58571),f326(f78(x58571),x58572)),x58573),f326(f78(x58571),f326(f326(f290(x58571),x58572),x58573)))
% 197.76/197.84 [5955]E(f817(x59551,x59552,x59553),f820(x59551,x59552,x59553))+E(f326(f326(f101(f939(x59553,a927)),x59552),x59551),f188(f939(x59553,a927)))
% 197.76/197.84 [5970]~P79(x59702)+E(f326(f326(f8(x59701,x59702),f326(f18(x59702,x59701),f2(x59702))),x59703),f2(x59702))
% 197.76/197.84 [5971]~P75(x59712)+E(f326(f326(f11(x59711,x59712),f326(f18(x59712,x59711),f77(x59712))),x59713),f77(x59712))
% 197.76/197.84 [5973]~P98(x59731)+E(f326(f326(f3(x59731),f326(f103(x59731),x59732)),f326(f103(x59731),x59733)),f326(f103(x59731),f326(f326(f3(a1),x59732),x59733)))
% 197.76/197.84 [5976]~P148(x59761)+E(f326(f326(f80(x59761),f326(f100(x59761),x59762)),f326(f100(x59761),x59763)),f326(f100(x59761),f326(f326(f80(a931),x59762),x59763)))
% 197.76/197.84 [5977]~P148(x59771)+E(f326(f326(f79(x59771),f326(f100(x59771),x59772)),f326(f100(x59771),x59773)),f326(f100(x59771),f326(f326(f79(a931),x59772),x59773)))
% 197.76/197.84 [5978]~P145(x59781)+E(f326(f326(f3(x59781),f326(f102(x59781),x59782)),f326(f102(x59781),x59783)),f326(f102(x59781),f326(f326(f3(a1),x59782),x59783)))
% 197.76/197.84 [5979]~P145(x59791)+E(f326(f326(f80(x59791),f326(f102(x59791),x59792)),f326(f102(x59791),x59793)),f326(f102(x59791),f326(f326(f80(a1),x59792),x59793)))
% 197.76/197.84 [5980]~P145(x59801)+E(f326(f326(f79(x59801),f326(f102(x59801),x59802)),f326(f102(x59801),x59803)),f326(f102(x59801),f326(f326(f79(a1),x59802),x59803)))
% 197.76/197.84 [5981]~P98(x59811)+E(f326(f326(f80(x59811),f326(f103(x59811),x59812)),f326(f103(x59811),x59813)),f326(f103(x59811),f326(f326(f80(a1),x59812),x59813)))
% 197.76/197.84 [5982]~P98(x59821)+E(f326(f326(f79(x59821),f326(f103(x59821),x59822)),f326(f103(x59821),x59823)),f326(f103(x59821),f326(f326(f79(a1),x59822),x59823)))
% 197.76/197.84 [6030]~E(x60303,x60302)+P1(f326(f326(f234(f939(x60301,a927)),x60302),x60303))
% 197.76/197.84 [6036]~E(x60362,x60363)+P1(f326(f326(f234(f939(x60361,a927)),x60362),x60363))
% 197.76/197.84 [6041]~P122(x60411)+E(f326(f326(f80(x60411),f326(f75(x60411),x60412)),f326(f75(x60411),x60413)),f326(f75(x60411),f326(f326(f80(x60411),x60412),x60413)))
% 197.76/197.84 [6042]~P70(x60421)+E(f326(f326(f290(x60421),f326(f75(x60421),x60422)),f326(f75(x60421),x60423)),f326(f75(x60421),f326(f326(f290(x60421),x60422),x60423)))
% 197.76/197.84 [6043]~P99(x60431)+E(f326(f326(f101(x60431),f326(f78(x60431),x60432)),f326(f78(x60431),x60433)),f326(f78(x60431),f326(f326(f110(x60431),x60432),x60433)))
% 197.76/197.84 [6044]~P80(x60441)+E(f326(f326(f79(x60441),f326(f78(x60441),x60442)),f326(f78(x60441),x60443)),f326(f78(x60441),f326(f326(f79(x60441),x60443),x60442)))
% 197.76/197.84 [6045]~P72(x60451)+E(f326(f326(f79(x60451),f326(f78(x60451),x60452)),f326(f78(x60451),x60453)),f326(f78(x60451),f326(f326(f79(x60451),x60452),x60453)))
% 197.76/197.84 [6046]~P99(x60461)+E(f326(f326(f110(x60461),f326(f78(x60461),x60462)),f326(f78(x60461),x60463)),f326(f78(x60461),f326(f326(f101(x60461),x60462),x60463)))
% 197.76/197.84 [6047]~P81(x60471)+E(f326(f326(f233(x60471),f326(f78(x60471),x60472)),f326(f78(x60471),x60473)),f326(f78(x60471),f326(f326(f232(x60471),x60472),x60473)))
% 197.76/197.84 [6048]~P81(x60481)+E(f326(f326(f232(x60481),f326(f78(x60481),x60482)),f326(f78(x60481),x60483)),f326(f78(x60481),f326(f326(f233(x60481),x60482),x60483)))
% 197.76/197.84 [6049]~P86(x60491)+E(f326(f326(f79(x60491),f326(f165(x60491),x60492)),f326(f165(x60491),x60493)),f326(f165(x60491),f326(f326(f134(x60491),x60492),x60493)))
% 197.76/197.84 [6050]E(x60501,f188(f939(x60502,a927)))+~E(f326(f326(f110(f939(x60502,a927)),x60503),x60501),f188(f939(x60502,a927)))
% 197.76/197.84 [6051]E(x60511,f188(f939(x60512,a927)))+~E(f326(f326(f110(f939(x60512,a927)),x60511),x60513),f188(f939(x60512,a927)))
% 197.76/197.84 [6052]~P151(x60521,x60522,x60523)+P1(f326(x60521,f326(f326(f36(a1),x60522),x60523)))
% 197.76/197.84 [6111]~P1(f326(f61(x61111),x61113))+P1(f326(f61(x61111),f326(f326(f308(x61111),x61112),x61113)))
% 197.76/197.84 [6112]~P1(f326(f137(x61121),x61123))+P1(f326(f137(x61121),f326(f326(f175(x61121),x61122),x61123)))
% 197.76/197.84 [6113]~P1(f326(f137(x61131),x61133))+P1(f326(f137(x61131),f326(f326(f138(x61131),x61132),x61133)))
% 197.76/197.84 [6145]~P3(x61451)+P1(f326(f326(f234(x61451),x61452),f326(f326(f110(x61451),x61453),x61452)))
% 197.76/197.84 [6146]~P104(x61461)+P1(f326(f326(f234(x61461),x61462),f326(f326(f110(x61461),x61463),x61462)))
% 197.76/197.84 [6147]~P3(x61471)+P1(f326(f326(f234(x61471),x61472),f326(f326(f110(x61471),x61472),x61473)))
% 197.76/197.84 [6148]~P104(x61481)+P1(f326(f326(f234(x61481),x61482),f326(f326(f110(x61481),x61482),x61483)))
% 197.76/197.84 [6149]~P111(x61491)+P1(f326(f326(f234(x61491),x61492),f326(f326(f233(x61491),x61493),x61492)))
% 197.76/197.84 [6150]~P111(x61501)+P1(f326(f326(f234(x61501),x61502),f326(f326(f233(x61501),x61502),x61503)))
% 197.76/197.84 [6151]~P115(x61511)+P1(f326(f326(f286(x61511),x61512),f326(f326(f80(x61511),x61513),x61512)))
% 197.76/197.84 [6152]~P115(x61521)+P1(f326(f326(f286(x61521),x61522),f326(f326(f80(x61521),x61522),x61523)))
% 197.76/197.84 [6166]~E(x61661,f2(a931))+E(f326(f326(f36(a931),f326(f326(f80(a931),x61661),x61662)),f326(f326(f80(a931),x61661),x61663)),f2(a931))
% 197.76/197.84 [6247]~P98(x62471)+E(f326(f326(f3(x62471),f326(f103(x62471),x62472)),f326(f103(x62471),x62473)),f326(f103(x62471),f326(f326(f79(a1),x62472),f326(f78(a1),x62473))))
% 197.76/197.84 [6305]E(x63051,f2(a931))+E(f326(f326(f36(a931),f326(f326(f80(a931),x63051),x63052)),f326(f326(f80(a931),x63051),x63053)),f326(f326(f36(a931),x63052),x63053))
% 197.76/197.84 [6338]E(f152(x63381,f326(f326(f151(x63381),x63382),x63383)),f326(f326(f151(x63381),x63382),f152(x63381,x63383)))+P1(f326(f326(f328(x63381),x63382),f326(f172(x63381),x63383)))
% 197.76/197.84 [6375]P151(x63751,x63752,x63753)+~P1(f326(x63751,f326(f326(f36(a1),x63752),x63753)))
% 197.76/197.84 [6447]E(x64471,f113(x64472))+E(f326(f326(f151(x64472),f326(f141(x64472),x64471)),f326(f326(f175(x64472),x64473),f326(f171(x64472),x64471))),f326(f326(f175(x64472),f326(a112,x64473)),x64471))
% 197.76/197.84 [6454]E(f326(f326(f3(f939(x64541,a927)),x64542),x64543),x64542)+~E(f326(f326(f101(f939(x64541,a927)),x64542),x64543),f188(f939(x64541,a927)))
% 197.76/197.84 [6468]E(f152(x64681,f326(f326(f151(x64681),x64682),x64683)),f152(x64681,x64683))+~P1(f326(f326(f328(x64681),x64682),f326(f172(x64681),x64683)))
% 197.76/197.84 [6498]~P1(f326(f326(f234(a931),x64981),x64983))+P1(f326(f326(f234(a931),x64981),f326(f326(f79(a931),x64982),x64983)))
% 197.76/197.84 [6500]~P1(f326(f326(f234(a931),x65001),x65002))+P1(f326(f326(f234(a931),x65001),f326(f326(f79(a931),x65002),x65003)))
% 197.76/197.84 [6502]~P1(f326(f326(f235(a931),x65021),x65023))+P1(f326(f326(f235(a931),x65021),f326(f326(f79(a931),x65022),x65023)))
% 197.76/197.84 [6504]~P1(f326(f326(f235(a931),x65041),x65042))+P1(f326(f326(f235(a931),x65041),f326(f326(f79(a931),x65042),x65043)))
% 197.76/197.84 [6542]P1(f326(f61(x65421),x65422))+~P1(f326(f61(x65421),f326(f326(f308(x65421),x65423),x65422)))
% 197.76/197.84 [6543]P1(f326(f137(x65431),x65432))+~P1(f326(f137(x65431),f326(f326(f151(x65431),x65433),x65432)))
% 197.76/197.84 [6544]P1(f326(f137(x65441),x65442))+~P1(f326(f137(x65441),f326(f326(f134(x65441),x65443),x65442)))
% 197.76/197.84 [6545]P1(f326(f137(x65451),x65452))+~P1(f326(f137(x65451),f326(f326(f134(x65451),x65452),x65453)))
% 197.76/197.84 [6597]~P115(x65971)+E(f326(f326(f79(x65971),x65972),f326(f326(f80(x65971),x65973),x65972)),f326(f326(f80(x65971),f326(f326(f79(x65971),x65973),f77(x65971))),x65972))
% 197.76/197.84 [6643]~E(x66431,x66432)+~P1(f326(f326(f235(f939(x66433,a927)),x66431),x66432))
% 197.76/197.84 [6688]P1(f326(f326(f328(x66881),x66882),x66883))+P1(f326(f326(f328(x66881),x66882),f326(f78(f939(x66881,a927)),x66883)))
% 197.76/197.84 [6694]E(f144(x66941,f326(f326(f138(x66941),x66942),x66943)),f144(x66941,x66943))+~P1(f326(f326(f235(a931),x66942),f326(f189(f932(x66941)),x66943)))
% 197.76/197.84 [6695]E(f326(f326(f175(x66951),x66952),f114(x66951,x66953)),f326(f326(f175(x66951),x66952),x66953))+~P1(f326(f326(f235(a931),x66952),f326(f189(f932(x66951)),x66953)))
% 197.76/197.84 [6753]E(f326(f326(f326(f183(f932(x67531),f932(x67531)),x67532),f167(x67531)),x67533),x67533)+~E(f45(a931,x67532,f326(f189(f932(x67531)),x67533)),f2(a931))
% 197.76/197.84 [6760]~P10(x67601,x67603,x67602)+E(f326(f326(f288(x67601,x67601,x67601),f326(f285(x67601,x67601),x67602)),x67602),x67602)
% 197.76/197.84 [6803]~E(f326(f326(f110(f939(x68031,a927)),x68032),x68033),x68033)+P1(f326(f326(f234(f939(x68031,a927)),x68032),x68033))
% 197.76/197.84 [6808]~P59(x68081,x68081,x68083)+P59(x68081,x68081,f326(f326(f183(f938(x68081,x68081),a927),x68082),x68083))
% 197.76/197.84 [6811]~P1(f326(f326(f328(x68111),x68113),f326(f172(x68111),x68112)))+P1(f326(f326(f235(a931),f2(a931)),f326(f189(f932(x68111)),x68112)))
% 197.76/197.84 [6837]~P89(x68371)+E(f326(f75(x68371),f326(f326(f79(x68371),f326(f75(x68371),x68372)),f326(f75(x68371),x68373))),f326(f326(f79(x68371),f326(f75(x68371),x68372)),f326(f75(x68371),x68373)))
% 197.76/197.84 [6847]E(f326(f326(f36(a931),f326(f326(f80(a931),x68471),x68472)),f326(f326(f80(a931),x68471),x68473)),f326(f326(f36(a931),x68472),x68473))+~P1(f326(f326(f235(a931),f2(a931)),x68471))
% 197.76/197.84 [6986]~P1(f326(f61(x69861),x69863))+E(f326(f326(f64(x69861,f939(x69861,a927),f308(x69861)),x69862),x69863),f326(f326(f110(f939(x69861,a927)),x69863),x69862))
% 197.76/197.84 [7043]E(f326(f326(f110(f939(x70431,a927)),x70432),x70433),x70432)+~P1(f326(f326(f234(f939(x70431,a927)),x70433),x70432))
% 197.76/197.84 [7045]E(f326(f326(f110(f939(x70451,a927)),x70452),x70453),x70453)+~P1(f326(f326(f234(f939(x70451,a927)),x70452),x70453))
% 197.76/197.84 [7046]E(f326(f326(f101(f939(x70461,a927)),x70462),x70463),x70463)+~P1(f326(f326(f234(f939(x70461,a927)),x70463),x70462))
% 197.76/197.84 [7047]E(f326(f326(f101(f939(x70471,a927)),x70472),x70473),x70472)+~P1(f326(f326(f234(f939(x70471,a927)),x70472),x70473))
% 197.76/197.84 [7096]~P1(f326(f137(x70961),x70962))+E(f326(f326(f3(f939(x70961,a927)),f326(f172(x70961),x70962)),f326(f326(f308(x70961),x70963),f188(f939(x70961,a927)))),f326(f172(x70961),f170(x70961,x70963,x70962)))
% 197.76/197.84 [7151]P41(x71511,x71512)+~P41(x71511,f326(f326(f183(f938(x71511,x71511),a927),x71513),x71512))
% 197.76/197.84 [7168]~E(x71681,f2(a931))+P1(f326(f326(f286(a931),f326(f326(f80(a931),x71681),x71682)),f326(f326(f80(a931),x71681),x71683)))
% 197.76/197.84 [7218]P1(f326(f49(x72181,x72182),f326(a51,x72183)))+~P1(f326(f49(f326(f78(a1),x72181),f326(f78(a1),x72182)),x72183))
% 197.76/197.84 [7223]E(f326(f326(f3(f939(x72231,a927)),f326(f326(f308(x72231),x72232),x72233)),f326(f326(f308(x72231),x72232),f188(f939(x72231,a927)))),x72233)+P1(f326(f326(f328(x72231),x72232),x72233))
% 197.76/197.84 [7244]E(f326(f326(f101(f939(x72441,a927)),f326(f172(x72441),x72442)),f326(f172(x72441),x72443)),f188(f939(x72441,a927)))+~P1(f326(f137(x72441),f326(f326(f134(x72441),x72442),x72443)))
% 197.76/197.84 [7259]~P1(f326(f326(f328(x72591),x72592),f326(f172(x72591),x72593)))+~P1(f326(f137(x72591),f326(f326(f151(x72591),x72592),x72593)))
% 197.76/197.84 [7331]P35(x73311,x73312,x73313)+P1(f326(f326(f235(a931),f772(x73313,x73312,x73311)),f326(f189(f932(x73311)),x73313)))
% 197.76/197.84 [7341]E(f326(f326(f101(f939(x73411,a927)),x73412),x73413),f188(f939(x73411,a927)))+P1(f326(f326(f328(x73411),f817(x73413,x73412,x73411)),x73412))
% 197.76/197.84 [7342]E(f326(f326(f101(f939(x73421,a927)),x73422),x73423),f188(f939(x73421,a927)))+P1(f326(f326(f328(x73421),f820(x73423,x73422,x73421)),x73423))
% 197.76/197.84 [7345]E(f114(x73451,f326(f326(f175(x73451),x73452),x73453)),f326(f326(f175(x73451),f326(f326(f3(a931),x73452),f77(a931))),x73453))+~P1(f326(f326(f234(a931),x73452),f326(f189(f932(x73451)),x73453)))
% 197.76/197.84 [7405]~P37(x74053,x74052,x74051)+P1(f326(f326(f235(a931),f766(x74051,x74052,x74053)),f326(f189(f932(x74053)),x74051)))
% 197.76/197.84 [7425]P1(f326(f326(f235(a931),f2(a931)),x74251))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x74252),x74251)),f326(f326(f80(a931),x74253),x74251)))
% 197.76/197.84 [7426]P1(f326(f326(f235(a931),f2(a931)),x74261))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x74261),x74262)),f326(f326(f80(a931),x74261),x74263)))
% 197.76/197.84 [7429]~P1(f326(f326(f328(x74291),x74292),x74293))+~P1(f326(f326(f328(x74291),x74292),f326(f78(f939(x74291,a927)),x74293)))
% 197.76/197.84 [7435]~P1(f326(f326(f235(f939(x74351,a927)),x74352),x74353))+P1(f326(f326(f234(f939(x74351,a927)),x74352),x74353))
% 197.76/197.84 [7546]~P1(f326(f326(f234(a931),x75463),x75462))+P1(f326(f326(f234(a931),f326(f326(f3(a931),x75461),x75462)),f326(f326(f3(a931),x75461),x75463)))
% 197.76/197.84 [7547]~P1(f326(f326(f234(a931),x75471),x75473))+P1(f326(f326(f234(a931),f326(f326(f3(a931),x75471),x75472)),f326(f326(f3(a931),x75473),x75472)))
% 197.76/197.84 [7549]~P1(f326(f326(f234(a931),x75492),x75493))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x75491),x75492)),f326(f326(f80(a931),x75491),x75493)))
% 197.76/197.84 [7551]~P1(f326(f326(f234(a931),x75511),x75513))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x75511),x75512)),f326(f326(f80(a931),x75513),x75512)))
% 197.76/197.84 [7552]~P1(f326(f326(f234(a931),x75522),x75523))+P1(f326(f326(f234(a931),f326(f326(f79(a931),x75521),x75522)),f326(f326(f79(a931),x75521),x75523)))
% 197.76/197.84 [7553]~P1(f326(f326(f234(a931),x75531),x75533))+P1(f326(f326(f234(a931),f326(f326(f79(a931),x75531),x75532)),f326(f326(f79(a931),x75533),x75532)))
% 197.76/197.84 [7554]~P1(f326(f326(f234(a931),x75541),x75543))+P1(f326(f326(f234(a931),f326(f326(f36(a931),x75541),x75542)),f326(f326(f36(a931),x75543),x75542)))
% 197.76/197.84 [7555]~P1(f326(f326(f234(a1),x75552),x75553))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x75551),x75552)),f326(f326(f79(a1),x75551),x75553)))
% 197.76/197.84 [7558]~P1(f326(f326(f235(a931),x75582),x75583))+P1(f326(f326(f235(a931),f326(f326(f79(a931),x75581),x75582)),f326(f326(f79(a931),x75581),x75583)))
% 197.76/197.84 [7559]~P1(f326(f326(f235(a931),x75591),x75593))+P1(f326(f326(f235(a931),f326(f326(f79(a931),x75591),x75592)),f326(f326(f79(a931),x75593),x75592)))
% 197.76/197.84 [7560]~P1(f326(f326(f235(a1),x75601),x75603))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x75601),x75602)),f326(f326(f79(a1),x75603),x75602)))
% 197.76/197.84 [7563]~P1(f326(f326(f286(a931),x75632),x75633))+P1(f326(f326(f286(a931),f326(f326(f80(a931),x75631),x75632)),f326(f326(f80(a931),x75631),x75633)))
% 197.76/197.84 [7643]E(x76431,x76432)+~P1(f326(f326(f328(x76433),x76431),f326(f326(f308(x76433),x76432),f188(f939(x76433,a927)))))
% 197.76/197.84 [7645]~E(f326(f326(f101(f939(x76451,a927)),x76452),x76453),f188(f939(x76451,a927)))+P1(f326(f326(f234(f939(x76451,a927)),x76452),f326(f78(f939(x76451,a927)),x76453)))
% 197.76/197.84 [7650]P1(f326(f326(f328(f939(x76501,a927)),x76502),f326(f307(x76501),x76503)))+~P1(f326(f326(f234(f939(x76501,a927)),x76502),x76503))
% 197.76/197.84 [7703]E(f326(f326(f151(x77031),f326(f326(f164(x77031),x77032),x77033)),f326(f326(f138(x77031),f326(a112,x77033)),x77032)),f326(f326(f138(x77031),x77033),x77032))+~P1(f326(f326(f235(a931),x77033),f326(f189(f932(x77031)),x77032)))
% 197.76/197.84 [7732]P1(f326(f326(f328(f938(x77321,x77321)),x77322),f306(x77321,x77323)))+~P1(f326(f326(f328(f938(x77321,x77321)),x77322),x77323))
% 197.76/197.84 [7741]~P1(f326(f326(f328(f939(x77411,a927)),x77412),f326(f307(x77411),x77413)))+P1(f326(f326(f234(f939(x77411,a927)),x77412),x77413))
% 197.76/197.84 [7785]P1(f326(f326(f234(f939(x77851,a927)),x77852),f37(f939(x77851,a927),x77853)))+~P1(f326(f326(f328(f939(x77851,a927)),x77852),x77853))
% 197.76/197.84 [7809]~P145(x78091)+E(f326(f326(f80(x78091),f326(f326(f243(x78091),f326(f78(x78091),f77(x78091))),x78092)),f326(f326(f243(x78091),x78093),x78092)),f326(f326(f243(x78091),f326(f78(x78091),x78093)),x78092))
% 197.76/197.84 [7831]E(f326(f326(f164(x78311),x78312),f326(f326(f3(a931),f326(f189(f932(x78311)),x78312)),f326(a112,x78313))),f326(f326(f164(x78311),f326(f168(x78311),x78312)),x78313))+~P1(f326(f326(f235(a931),x78313),f326(f189(f932(x78311)),x78312)))
% 197.76/197.84 [7848]~E(f326(f326(f101(f939(x78481,a927)),f917(x78483,x78482,x78481)),x78483),f188(f939(x78481,a927)))+E(f326(f326(f101(f939(x78481,a927)),f37(f939(x78481,a927),x78482)),x78483),f188(f939(x78481,a927)))
% 197.76/197.84 [7912]~P1(f326(f326(f328(x79123),x79122),f326(f172(x79123),x79121)))+P1(f326(f326(f235(a931),f632(x79121,x79122,x79123)),f326(f189(f932(x79123)),x79121)))
% 197.76/197.84 [7920]P1(f326(f326(f328(x79201),f326(f326(f164(x79201),x79202),x79203)),f326(f172(x79201),x79202)))+~P1(f326(f326(f235(a931),x79203),f326(f189(f932(x79201)),x79202)))
% 197.76/197.84 [8016]~P1(f326(x80162,f731(x80163,x80162,x80161)))+E(f326(f326(f138(x80161),f326(f189(f932(x80161)),f177(x80161,x80162,x80163))),x80163),f113(x80161))
% 197.76/197.84 [8029]P1(f326(f326(f234(f939(f932(x80291),a927)),f161(x80291,x80292)),f161(x80291,x80293)))+~P1(f326(f326(f234(f939(x80291,a927)),x80292),x80293))
% 197.76/197.84 [8030]P1(f326(f326(f234(f939(f932(x80301),a927)),f160(x80301,x80302)),f160(x80301,x80303)))+~P1(f326(f326(f234(f939(x80301,a927)),x80302),x80303))
% 197.76/197.84 [8056]E(f326(f326(f101(f939(x80561,a927)),f37(f939(x80561,a927),x80562)),x80563),f188(f939(x80561,a927)))+P1(f326(f326(f328(f939(x80561,a927)),f917(x80563,x80562,x80561)),x80562))
% 197.76/197.84 [8058]~P1(f326(f326(f328(f939(x80581,a927)),x80583),x80582))+P1(f326(f326(f234(f939(x80581,a927)),f38(f939(x80581,a927),x80582)),x80583))
% 197.76/197.84 [8060]E(f326(f326(f101(f939(x80601,a927)),x80602),x80603),f188(f939(x80601,a927)))+~P1(f326(f326(f234(f939(x80601,a927)),x80602),f326(f78(f939(x80601,a927)),x80603)))
% 197.76/197.84 [8114]E(f326(f326(f3(a931),f326(f326(f79(a931),f326(f165(a931),x81141)),x81142)),f326(f326(f164(a931),x81141),x81143)),f326(f165(a931),f326(f326(f159(a931,x81141),x81143),x81142)))+~P1(f326(f326(f235(a931),x81143),f326(f189(f932(a931)),x81141)))
% 197.76/197.84 [8165]P1(f326(f326(f234(a931),x81651),x81652))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x81653),x81651)),f326(f326(f79(a931),x81653),x81652)))
% 197.76/197.84 [8168]P1(f326(f326(f235(a931),x81681),x81682))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),x81683),x81681)),f326(f326(f79(a931),x81683),x81682)))
% 197.76/197.84 [8169]P1(f326(f326(f235(a931),x81691),x81692))+~P1(f326(f326(f235(a931),f326(f326(f80(a931),x81693),x81691)),f326(f326(f80(a931),x81693),x81692)))
% 197.76/197.84 [8170]P1(f326(f326(f235(a931),x81701),x81702))+~P1(f326(f326(f235(a931),f326(f326(f80(a931),x81701),x81703)),f326(f326(f80(a931),x81702),x81703)))
% 197.76/197.84 [8200]P1(f326(f326(f235(a931),f2(a931)),x82001))+~P1(f326(f326(f235(a931),f326(f326(f80(a931),x82002),x82001)),f326(f326(f80(a931),x82003),x82001)))
% 197.76/197.84 [8201]P1(f326(f326(f235(a931),f2(a931)),x82011))+~P1(f326(f326(f235(a931),f326(f326(f80(a931),x82011),x82012)),f326(f326(f80(a931),x82011),x82013)))
% 197.76/197.84 [8276]E(f246(x82761,x82762,x82763),x82762)+~P1(f326(f326(f234(f939(x82761,a927)),x82763),f326(f326(f308(x82761),x82762),f188(f939(x82761,a927)))))
% 197.76/197.84 [8327]~P1(f326(f137(x83271),x83273))+E(f326(f136(x83271,f326(f326(f10(a927,a927,x83271),a321),f326(a323,x83272))),x83273),f170(x83271,x83272,x83273))
% 197.76/197.84 [8352]E(f326(f326(f138(x83521),f326(f189(f932(x83521)),f177(x83521,x83522,x83523))),x83523),f113(x83521))+P1(f326(f326(f328(x83521),f731(x83523,x83522,x83521)),f326(f172(x83521),x83523)))
% 197.76/197.84 [8357]E(f326(f326(f134(x83571),f326(f326(f175(x83571),x83572),x83573)),f326(f326(f151(x83571),f326(f326(f164(x83571),x83573),x83572)),f113(x83571))),f326(f326(f175(x83571),f326(a112,x83572)),x83573))+~P1(f326(f326(f235(a931),x83572),f326(f189(f932(x83571)),x83573)))
% 197.76/197.84 [8423]E(f326(f136(x84231,f326(f326(f10(a927,a927,x84231),a321),f326(a323,x84232))),x84233),x84233)+P1(f326(f326(f328(x84231),x84232),f326(f172(x84231),x84233)))
% 197.76/197.84 [8429]P1(f326(f326(f234(f939(f939(x84291,a927),a927)),f247(x84291,x84292)),f247(x84291,x84293)))+~P1(f326(f326(f234(f939(x84291,a927)),x84292),x84293))
% 197.76/197.84 [8468]~P1(f326(f137(x84681),x84683))+P1(f326(f137(x84681),f326(f326(f326(f183(f932(x84681),f932(x84681)),x84682),f167(x84681)),x84683)))
% 197.76/197.84 [8474]~P1(f326(f326(f235(a931),x84742),x84743))+P1(f326(f326(f235(a931),f326(f326(f80(a931),f326(a112,x84741)),x84742)),f326(f326(f80(a931),f326(a112,x84741)),x84743)))
% 197.76/197.84 [8494]P1(f326(f326(f234(f939(f939(x84941,a927),a927)),f326(f307(x84941),x84942)),f326(f307(x84941),x84943)))+~P1(f326(f326(f234(f939(x84941,a927)),x84942),x84943))
% 197.76/197.84 [8563]~E(f326(f309(x85631,x85632,x85633),f241(f939(x85631,a927))),f241(f939(x85632,a927)))+E(f326(f72(x85631,x85632,x85632,x85633),f91(x85631,x85632,f241(f939(x85631,a927)),x85633)),f31(x85632))
% 197.76/197.84 [8657]~P1(f326(f326(f234(f939(x86571,a927)),x86573),x86572))+P1(f326(f326(f234(f939(x86571,a927)),f326(f78(f939(x86571,a927)),x86572)),f326(f78(f939(x86571,a927)),x86573)))
% 197.76/197.84 [8690]E(f326(f309(a931,a931,f326(f326(f9(a931,a931,a931),f3(a931)),x86901)),f326(f301(a931,x86902),x86903)),f326(f301(a931,f326(f326(f3(a931),x86902),x86901)),f326(f326(f3(a931),x86903),x86901)))+~P1(f326(f326(f235(a931),x86901),x86903))
% 197.76/197.84 [8716]~P86(x87161)+E(f326(f326(f79(x87161),x87162),f326(f142(x87161,x87161,f79(x87161),f2(x87161)),x87163)),f326(f142(x87161,x87161,f79(x87161),x87162),x87163))
% 197.76/197.84 [8792]~P89(x87921)+P1(f326(f326(f234(x87921),f326(f75(x87921),f326(f326(f3(x87921),x87922),x87923))),f326(f326(f79(x87921),f326(f75(x87921),x87922)),f326(f75(x87921),x87923))))
% 197.76/197.84 [8793]~P89(x87931)+P1(f326(f326(f234(x87931),f326(f75(x87931),f326(f326(f79(x87931),x87932),x87933))),f326(f326(f79(x87931),f326(f75(x87931),x87932)),f326(f75(x87931),x87933))))
% 197.76/197.84 [8804]E(f326(f326(f79(a1),f326(f326(f80(a1),x88041),f45(a1,f326(f326(f36(a1),x88042),x88041),x88043))),f45(a1,x88042,x88041)),f45(a1,x88042,f326(f326(f80(a1),x88041),x88043)))+~P1(f326(f326(f235(a1),f2(a1)),x88043))
% 197.76/197.84 [8810]E(f326(f326(f134(x88101),f326(f326(f175(x88101),x88102),x88103)),f326(f326(f151(x88101),f326(f141(x88101),f326(f326(f138(x88101),x88102),x88103))),f113(x88101))),f326(f326(f175(x88101),f326(a112,x88102)),x88103))+~P1(f326(f326(f235(a931),x88102),f326(f189(f932(x88101)),x88103)))
% 197.76/197.84 [8830]E(f326(f267(x88301,f326(f326(f154(x88301,f938(a99,x88301)),f326(f251(a99,x88301),f77(a99))),x88302)),f326(a5,x88303)),f326(f326(f164(x88301),x88302),x88303))+~P1(f326(f326(f235(a931),x88303),f326(f189(f932(x88301)),x88302)))
% 197.76/197.84 [8898]P1(f326(f326(f328(f938(x88981,x88981)),x88982),f326(f326(f288(x88981,x88981,x88981),x88983),f306(x88981,x88983))))+~P1(f326(f326(f328(f938(x88981,x88981)),x88982),x88983))
% 197.76/197.84 [8909]E(f326(f309(x89091,x89092,x89093),f241(f939(x89091,a927))),f241(f939(x89092,a927)))+~E(f326(f72(x89091,x89092,x89092,x89093),f91(x89091,x89092,f241(f939(x89091,a927)),x89093)),f31(x89092))
% 197.76/197.84 [8918]P1(f326(f326(f234(a931),x89181),x89182))+~P1(f326(f326(f234(a931),f326(f326(f80(a931),f326(a112,x89183)),x89181)),f326(f326(f80(a931),f326(a112,x89183)),x89182)))
% 197.76/197.84 [8934]P1(f326(f326(f234(f939(x89341,a927)),x89342),x89343))+~P1(f326(f326(f234(f939(x89341,a927)),f326(f78(f939(x89341,a927)),x89343)),f326(f78(f939(x89341,a927)),x89342)))
% 197.76/197.84 [8957]P1(f326(f137(x89571),x89572))+~P1(f326(f137(x89571),f326(f326(f326(f183(f932(x89571),f932(x89571)),x89573),f167(x89571)),x89572)))
% 197.76/197.84 [9030]E(f326(f284(x90301,x90301,f306(x90301,x90302)),x90303),x90303)+~P1(f326(f326(f234(f939(x90301,a927)),f326(f284(x90301,x90301,x90302),x90303)),x90303))
% 197.76/197.84 [9078]~P111(x90781)+P15(x90781,f326(f136(x90781,f326(f326(f9(x90781,x90781,a927),a323),f326(x90782,x90783))),x90783))
% 197.76/197.84 [9086]~P1(f326(f326(f234(a931),x90861),x90862))+P1(f326(f326(f234(a931),x90861),f326(f142(a931,a931,f79(a931),x90862),x90863)))
% 197.76/197.84 [9172]~P1(f326(f326(f328(f938(x91721,x91721)),x91722),f306(x91721,x91723)))+P1(f326(f326(f328(f938(x91721,x91721)),x91722),f326(f326(f183(f938(x91721,x91721),a927),f636(x91723,x91722,x91721)),x91723)))
% 197.76/197.84 [9254]~P86(x92541)+E(f326(f326(f79(x92541),x92542),f326(f142(x92541,x92541,f326(f9(x92541,x92541,x92541),f79(x92541)),f2(x92541)),f326(f168(x92541),x92543))),f326(f142(x92541,x92541,f79(x92541),x92542),x92543))
% 197.76/197.84 [9371]~P28(x93712,x93711,x93713,f241(f939(x93712,a927)),f241(f939(x93711,a927)))+E(f91(x93711,x93712,f241(f939(x93711,a927)),f91(x93712,x93711,f241(f939(x93712,a927)),x93713)),x93713)
% 197.76/197.84 [9532]P59(x95321,x95322,x95323)+P1(f326(f326(f328(f938(x95321,x95322)),f326(f326(f251(x95321,x95322),f627(x95323,x95322,x95321)),f610(x95323,x95322,x95321))),x95323))
% 197.76/197.84 [9533]P59(x95331,x95332,x95333)+P1(f326(f326(f328(f938(x95331,x95332)),f326(f326(f251(x95331,x95332),f627(x95333,x95332,x95331)),f609(x95333,x95332,x95331))),x95333))
% 197.76/197.84 [9601]~P1(f326(f326(f328(f938(x96011,x96011)),x96012),f326(f326(f288(x96011,x96011,x96011),x96013),f306(x96011,x96013))))+P1(f326(f326(f328(f938(x96011,x96011)),x96012),f326(f326(f183(f938(x96011,x96011),a927),f638(x96013,x96012,x96011)),x96013)))
% 197.76/197.84 [9602]~P1(f326(x96021,f326(f326(f164(x96022),x96023),f326(f189(f932(x96022)),f177(x96022,x96021,x96023)))))+~P1(f326(f326(f235(a931),f326(f189(f932(x96022)),f177(x96022,x96021,x96023))),f326(f189(f932(x96022)),x96023)))
% 197.76/197.84 [9693]~P1(f326(f326(f234(f939(x96931,a927)),x96932),x96933))+P1(f326(f326(f234(f939(x96931,a927)),f326(f326(f9(x96931,f939(x96931,a927),a927),f328(x96931)),x96932)),f326(f326(f9(x96931,f939(x96931,a927),a927),f328(x96931)),x96933)))
% 197.76/197.84 [9751]~P1(f326(f326(f328(f938(f939(x97511,a927),f939(x97511,a927))),f326(f326(f251(f939(x97511,a927),f939(x97511,a927)),x97512),x97513)),f313(x97511)))+P1(f326(f326(f235(f939(x97511,a927)),x97512),x97513))
% 197.76/197.84 [9775]P60(x97751,x97752,x97753)+~P1(f326(f326(f328(f938(x97751,x97751)),f326(f326(f251(x97751,x97751),f630(x97753,x97752,x97751)),f629(x97753,x97752,x97751))),x97753))
% 197.76/197.84 [9776]P60(x97761,x97762,x97763)+~P1(f326(f326(f328(f938(x97761,x97761)),f326(f326(f251(x97761,x97761),f629(x97763,x97762,x97761)),f630(x97763,x97762,x97761))),x97763))
% 197.76/197.84 [9814]~P1(f326(f326(f328(f938(f932(x98141),f932(x98141))),f326(f326(f251(f932(x98141),f932(x98141)),x98142),x98142)),f147(x98141,x98143)))+P1(f326(f326(f328(f938(x98141,x98141)),f326(f326(f251(x98141,x98141),f671(x98142,x98143,x98141)),f671(x98142,x98143,x98141))),x98143))
% 197.76/197.84 [9865]P1(f326(f326(f234(f939(x98651,a927)),x98652),x98653))+~P1(f326(f326(f234(f939(x98651,a927)),f326(f326(f9(x98651,f939(x98651,a927),a927),f328(x98651)),x98652)),f326(f326(f9(x98651,f939(x98651,a927),a927),f328(x98651)),x98653)))
% 197.76/197.84 [9947]E(f326(f326(f3(a931),f326(f326(f8(a931,a931),x99471),f326(f281(a931),x99472))),f326(f326(f8(a931,a931),x99473),f326(f281(a931),x99472))),f326(f326(f8(a931,a931),f326(f326(f20(a931,a931,a931),f326(f326(f10(a931,f939(a931,a931),a931),f3(a931)),x99471)),x99473)),f326(f281(a931),x99472)))+~P1(f326(f326(f234(a931),f326(x99473,f426(x99472,x99471,x99473))),f326(x99471,f426(x99472,x99471,x99473))))
% 197.76/197.84 [5891]~P80(x58911)+E(f326(f326(f3(x58911),f326(f326(f79(x58911),x58912),x58913)),x58913),x58912)
% 197.76/197.84 [5892]~P80(x58921)+E(f326(f326(f79(x58921),f326(f326(f3(x58921),x58922),x58923)),x58923),x58922)
% 197.76/197.84 [6120]~P80(x61201)+E(f326(f326(f79(x61201),x61202),f326(f326(f79(x61201),f326(f78(x61201),x61202)),x61203)),x61203)
% 197.76/197.84 [6208]~P85(x62081)+E(f326(f326(f80(x62081),f326(f326(f243(x62081),x62082),x62083)),x62082),f326(f326(f243(x62081),x62082),f326(a112,x62083)))
% 197.76/197.84 [6209]~P115(x62091)+E(f326(f326(f80(x62091),f326(f326(f243(x62091),x62092),x62093)),x62092),f326(f326(f243(x62091),x62092),f326(a112,x62093)))
% 197.76/197.84 [6431]~P122(x64311)+E(f326(f75(x64311),f326(f326(f243(x64311),f326(f78(x64311),x64312)),x64313)),f326(f75(x64311),f326(f326(f243(x64311),x64312),x64313)))
% 197.76/197.84 [6477]~P85(x64771)+E(f326(f326(f80(x64771),f326(f326(f243(x64771),x64772),x64773)),x64772),f326(f326(f80(x64771),x64772),f326(f326(f243(x64771),x64772),x64773)))
% 197.76/197.84 [6533]E(f326(f326(f3(a99),f326(f326(f79(a99),x65331),x65332)),x65333),f273(x65331,x65332,x65333))+~P1(f326(f326(f235(a99),x65332),x65333))
% 197.76/197.84 [6557]~E(f326(f326(f138(x65571),x65573),x65572),f113(x65571))+P1(f326(f326(f234(a931),f326(f189(f932(x65571)),x65572)),x65573))
% 197.76/197.84 [6693]E(f326(f326(f80(a931),f326(f103(a931),x66931)),f326(f326(f80(a931),f326(f103(a931),x66932)),x66933)),f2(a931))+~P1(f326(f326(f235(a1),x66931),a82))
% 197.76/197.84 [6710]~P68(x67101)+E(f326(f326(f243(x67101),f326(f326(f290(x67101),f77(x67101)),x67102)),x67103),f326(f326(f290(x67101),f77(x67101)),f326(f326(f243(x67101),x67102),x67103)))
% 197.76/197.84 [6789]E(f326(f326(f3(a931),f326(f326(f79(a931),x67891),x67892)),x67893),f326(f326(f3(a931),x67891),f326(f326(f3(a931),x67893),x67892)))+~P1(f326(f326(f234(a931),x67892),x67893))
% 197.76/197.84 [6791]E(f326(f326(f3(a931),f326(f326(f79(a931),x67911),x67912)),x67913),f326(f326(f79(a931),x67911),f326(f326(f3(a931),x67912),x67913)))+~P1(f326(f326(f234(a931),x67913),x67912))
% 197.76/197.84 [6828]~P3(x68281)+P1(f326(f326(f234(x68281),f326(f326(f101(x68281),x68282),x68283)),x68283))
% 197.76/197.84 [6829]~P105(x68291)+P1(f326(f326(f234(x68291),f326(f326(f101(x68291),x68292),x68293)),x68293))
% 197.76/197.84 [6830]~P3(x68301)+P1(f326(f326(f234(x68301),f326(f326(f101(x68301),x68302),x68303)),x68302))
% 197.76/197.84 [6831]~P105(x68311)+P1(f326(f326(f234(x68311),f326(f326(f101(x68311),x68312),x68313)),x68312))
% 197.76/197.84 [6832]~P111(x68321)+P1(f326(f326(f234(x68321),f326(f326(f232(x68321),x68322),x68323)),x68323))
% 197.76/197.84 [6833]~P111(x68331)+P1(f326(f326(f234(x68331),f326(f326(f232(x68331),x68332),x68333)),x68332))
% 197.76/197.84 [6846]E(f326(f326(f36(a1),f326(f326(f36(a1),x68461),x68462)),x68463),f326(f326(f36(a1),x68461),f326(f326(f80(a1),x68462),x68463)))+~P1(f326(f326(f235(a1),f2(a1)),x68463))
% 197.76/197.84 [6898]~P115(x68981)+E(f326(f326(f79(x68981),f326(f326(f80(x68981),x68982),x68983)),x68983),f326(f326(f80(x68981),f326(f326(f79(x68981),x68982),f77(x68981))),x68983))
% 197.76/197.84 [6899]~P98(x68991)+E(f326(f326(f80(x68991),f326(f78(x68991),f326(f103(x68991),x68992))),x68993),f326(f326(f80(x68991),f326(f103(x68991),f326(f78(a1),x68992))),x68993))
% 197.76/197.84 [6970]~P86(x69701)+E(f326(f165(x69701),f326(f326(f154(x69702,x69701),f326(f18(x69701,x69702),f2(x69701))),x69703)),f2(x69701))
% 197.76/197.84 [6987]E(f326(f326(f79(a931),f326(f103(a931),x69871)),f326(f326(f79(a931),f326(f103(a931),x69872)),x69873)),f326(f326(f79(a931),f326(f103(a931),x69872)),x69873))+~P1(f326(a193,f326(f103(a1),x69871)))
% 197.76/197.84 [7002]~P7(x70021)+E(f37(x70021,f326(f326(f308(x70021),x70022),f326(f326(f308(x70021),x70023),f188(f939(x70021,a927))))),f326(f326(f110(x70021),x70022),x70023))
% 197.76/197.84 [7003]~P7(x70031)+E(f38(x70031,f326(f326(f308(x70031),x70032),f326(f326(f308(x70031),x70033),f188(f939(x70031,a927))))),f326(f326(f101(x70031),x70032),x70033))
% 197.76/197.84 [7026]E(f326(f326(f175(x70261),x70262),x70263),x70263)+~P1(f326(f326(f234(a931),f326(f189(f932(x70261)),x70263)),x70262))
% 197.76/197.84 [7038]E(f326(f326(f138(x70381),x70382),x70383),f113(x70381))+~P1(f326(f326(f234(a931),f326(f189(f932(x70381)),x70383)),x70382))
% 197.76/197.84 [7049]E(f326(f326(f79(a931),f326(f326(f3(a931),x70491),x70492)),x70493),f326(f326(f3(a931),f326(f326(f79(a931),x70491),x70493)),x70492))+~P1(f326(f326(f234(a931),x70492),x70491))
% 197.76/197.84 [7063]~P1(f326(f326(f235(a931),x70631),x70633))+P1(f326(f326(f235(a931),f326(f326(f3(a931),x70631),x70632)),x70633))
% 197.76/197.84 [7090]~P111(x70901)+E(f170(x70901,x70902,f326(f326(f148(x70901,x70901,f7(x70901)),x70902),x70903)),x70903)
% 197.76/197.84 [7181]E(f326(f326(f3(a931),f326(f326(f79(a931),x71811),x71812)),f326(a112,x71813)),f326(f326(f3(a931),x71811),f326(a112,f326(f326(f3(a931),x71813),x71812))))+~P1(f326(f326(f234(a931),x71812),x71813))
% 197.76/197.84 [7182]~P122(x71821)+P1(f326(f326(f234(x71821),f2(x71821)),f326(f326(f243(x71821),f326(f75(x71821),x71822)),x71823)))
% 197.76/197.84 [7228]P26(x72281,x72282,x72283)+~P1(f326(f326(f234(f939(f930(x72281),a927)),x72283),x72282))
% 197.76/197.84 [7270]~P1(f326(f61(x72701),x72702))+P1(f326(f61(x72701),f326(f326(f3(f939(x72701,a927)),x72702),x72703)))
% 197.76/197.84 [7271]~P1(f326(f61(x72711),x72713))+P1(f326(f61(x72711),f326(f326(f101(f939(x72711,a927)),x72712),x72713)))
% 197.76/197.84 [7272]~P1(f326(f61(x72721),x72722))+P1(f326(f61(x72721),f326(f326(f101(f939(x72721,a927)),x72722),x72723)))
% 197.76/197.84 [7415]~P41(x74151,x74153)+P41(x74151,f326(f326(f101(f939(f938(x74151,x74151),a927)),x74152),x74153))
% 197.76/197.84 [7416]~P41(x74161,x74162)+P41(x74161,f326(f326(f101(f939(f938(x74161,x74161),a927)),x74162),x74163))
% 197.76/197.84 [7542]~P3(x75421)+E(f12(x75421,f326(f172(x75421),f326(f326(f151(x75421),x75422),x75423))),f326(f142(x75421,x75421,f110(x75421),x75422),x75423))
% 197.76/197.84 [7543]~P3(x75431)+E(f13(x75431,f326(f172(x75431),f326(f326(f151(x75431),x75432),x75433))),f326(f142(x75431,x75431,f101(x75431),x75432),x75433))
% 197.76/197.84 [7544]~P111(x75441)+E(f16(x75441,f326(f172(x75441),f326(f326(f151(x75441),x75442),x75443))),f326(f142(x75441,x75441,f232(x75441),x75442),x75443))
% 197.76/197.84 [7545]~P111(x75451)+E(f17(x75451,f326(f172(x75451),f326(f326(f151(x75451),x75452),x75453))),f326(f142(x75451,x75451,f233(x75451),x75452),x75453))
% 197.76/197.84 [7610]~P1(f326(f61(x76101),x76102))+P1(f326(f326(f234(a931),f326(f35(x76101),x76102)),f326(f35(x76101),f326(f326(f308(x76101),x76103),x76102))))
% 197.76/197.84 [7617]E(f326(f326(f110(f939(a931,a927)),f326(f301(a931,x76171),x76172)),f326(f301(a931,x76172),f326(f326(f79(a931),x76172),x76173))),f326(f301(a931,x76171),f326(f326(f79(a931),x76172),x76173)))+~P1(f326(f326(f234(a931),x76171),x76172))
% 197.76/197.84 [7626]P1(f326(f326(f234(a931),x76261),x76262))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x76263),x76261)),x76262))
% 197.76/197.84 [7627]P1(f326(f326(f234(a931),x76271),x76272))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x76271),x76273)),x76272))
% 197.76/197.84 [7628]P1(f326(f326(f235(a931),x76281),x76282))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),x76281),x76283)),x76282))
% 197.76/197.84 [7667]~P111(x76671)+E(f14(x76671,f232(x76671),f326(f172(x76671),f326(f326(f151(x76671),x76672),x76673))),f326(f142(x76671,x76671,f232(x76671),x76672),x76673))
% 197.76/197.84 [7668]~P111(x76681)+E(f15(x76681,f233(x76681),f326(f172(x76681),f326(f326(f151(x76681),x76682),x76683))),f326(f142(x76681,x76681,f233(x76681),x76682),x76683))
% 197.76/197.84 [7672]~E(x76722,f188(f939(f938(x76721,x76721),a927)))+P1(f326(f326(f234(f939(f938(x76721,x76721),a927)),x76722),x76723))
% 197.76/197.84 [7780]E(f326(f326(f110(f939(x77801,a927)),x77802),f326(f326(f3(f939(x77801,a927)),x77803),x77802)),x77803)+~P1(f326(f326(f234(f939(x77801,a927)),x77802),x77803))
% 197.76/197.84 [7781]~P1(f326(f326(f234(a931),x77811),f326(f326(f79(a931),x77813),x77812)))+P1(f326(f326(f234(a931),f326(f326(f3(a931),x77811),x77812)),x77813))
% 197.76/197.84 [7782]~P1(f326(f326(f235(a931),x77821),f326(f326(f3(a931),x77823),x77822)))+P1(f326(f326(f235(a931),f326(f326(f79(a931),x77821),x77822)),x77823))
% 197.76/197.84 [7838]E(x78381,f113(x78382))+E(f326(f141(x78382),f326(f326(f326(f183(f932(x78382),f932(x78382)),x78383),f167(x78382)),x78381)),f326(f326(f164(x78382),x78381),f45(a931,x78383,f326(f189(f932(x78382)),x78381))))
% 197.76/197.84 [7847]E(f326(f326(f308(x78471),x78472),f326(f326(f3(f939(x78471,a927)),x78473),f326(f326(f308(x78471),x78472),f188(f939(x78471,a927))))),x78473)+~P1(f326(f326(f328(x78471),x78472),x78473))
% 197.76/197.84 [8007]P1(f326(f326(f234(a931),x80071),f326(f326(f79(a931),x80072),x80073)))+~P1(f326(f326(f234(a931),f326(f326(f3(a931),x80071),x80073)),x80072))
% 197.76/197.84 [8008]P1(f326(f326(f235(a931),x80081),f326(f326(f3(a931),x80082),x80083)))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),x80081),x80083)),x80082))
% 197.76/197.84 [8033]P1(f326(f61(x80331),x80332))+~P1(f326(f61(x80331),f326(f326(f110(f939(x80331,a927)),x80333),x80332)))
% 197.76/197.84 [8034]P1(f326(f61(x80341),x80342))+~P1(f326(f61(x80341),f326(f326(f110(f939(x80341,a927)),x80342),x80343)))
% 197.76/197.84 [8113]~P51(x81131,x81133)+P1(f326(f326(f328(f938(x81131,x81131)),f326(f326(f251(x81131,x81131),x81132),x81132)),x81133))
% 197.76/197.84 [8247]E(f326(f326(f164(a931),f139(a931,f326(f301(a931,x82471),x82472))),x82473),f326(f326(f79(a931),x82471),x82473))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),x82471),x82473)),x82472))
% 197.76/197.84 [8316]E(f326(f326(f175(a931),x83161),f139(a931,f326(f301(a931,x83162),x83163))),f139(a931,f326(f301(a931,x83162),f326(f326(f79(a931),x83162),x83161))))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x83162),x83161)),x83163))
% 197.76/197.84 [8373]~P98(x83731)+E(f326(f326(f243(x83731),x83732),f326(f103(a931),f326(f326(f79(a1),x83733),x83733))),f326(f326(f85(x83731,x83731),f326(f326(f243(x83731),x83732),f326(f103(a931),x83733))),f326(f326(f20(x83731,x83731,x83731),f80(x83731)),f7(x83731))))
% 197.76/197.84 [8637]E(f326(f326(f134(x86371),f326(f326(f175(x86371),x86372),x86373)),f326(f326(f151(x86371),f326(f326(f164(x86371),x86373),x86372)),f326(f326(f138(x86371),f326(a112,x86372)),x86373))),x86373)+~P1(f326(f326(f235(a931),x86372),f326(f189(f932(x86371)),x86373)))
% 197.76/197.84 [8644]P1(f326(f326(f234(f939(x86441,a927)),f314(x86441,x86442)),f314(x86441,x86443)))+~P1(f326(f326(f234(f939(x86441,f939(x86441,a927))),x86443),x86442))
% 197.76/197.84 [8645]~P60(x86451,x86452,x86453)+P60(x86451,x86452,f326(f326(f3(f939(f938(x86451,x86451),a927)),x86453),f306(x86451,f188(f939(f938(x86451,x86451),a927)))))
% 197.76/197.84 [8665]P1(f326(f326(f234(f939(x86651,a927)),f315(x86651,x86652)),f315(x86651,x86653)))+~P1(f326(f326(f234(f939(f938(x86651,x86651),a927)),x86653),x86652))
% 197.76/197.84 [8672]~P129(x86721)+P1(f326(f326(f234(x86721),f2(x86721)),f326(f326(f79(x86721),f326(f326(f80(x86721),x86722),x86722)),f326(f326(f80(x86721),x86723),x86723))))
% 197.76/197.84 [8705]P1(f326(f326(f234(f939(x87051,a927)),f326(f280(x87051),x87052)),f326(f280(x87051),x87053)))+~P1(f326(f326(f234(f939(f938(x87051,x87051),a927)),x87052),x87053))
% 197.76/197.84 [8734]~P58(x87341,x87342)+~P1(f326(f326(f328(f938(x87341,x87341)),f326(f326(f251(x87341,x87341),x87343),x87343)),x87342))
% 197.76/197.84 [8736]~P41(x87361,x87362)+~P1(f326(f326(f328(f938(x87361,x87361)),f326(f326(f251(x87361,x87361),x87363),x87363)),x87362))
% 197.76/197.84 [8794]P1(f326(f326(f234(f939(x87941,a927)),f37(f939(x87941,a927),x87942)),f37(f939(x87941,a927),x87943)))+~P1(f326(f326(f234(f939(f939(x87941,a927),a927)),x87942),x87943))
% 197.76/197.84 [8795]P1(f326(f326(f234(f939(x87951,a927)),f38(f939(x87951,a927),x87952)),f38(f939(x87951,a927),x87953)))+~P1(f326(f326(f234(f939(f939(x87951,a927),a927)),x87953),x87952))
% 197.76/197.84 [8849]~P10(x88491,x88493,x88492)+P1(f326(f326(f234(f939(f938(x88491,x88491),a927)),x88492),f326(f326(f253(x88491,x88491),x88493),f326(f18(f939(x88491,a927),x88491),x88493))))
% 197.76/197.84 [8850]~P57(x88501,x88503,x88502)+P1(f326(f326(f234(f939(f938(x88501,x88501),a927)),x88502),f326(f326(f253(x88501,x88501),x88503),f326(f18(f939(x88501,a927),x88501),x88503))))
% 197.76/197.84 [8899]~P89(x88991)+P1(f326(f326(f234(x88991),f326(f326(f3(x88991),f326(f75(x88991),x88992)),f326(f75(x88991),x88993))),f326(f75(x88991),f326(f326(f3(x88991),x88993),x88992))))
% 197.76/197.84 [8900]~P89(x89001)+P1(f326(f326(f234(x89001),f326(f326(f3(x89001),f326(f75(x89001),x89002)),f326(f75(x89001),x89003))),f326(f75(x89001),f326(f326(f3(x89001),x89002),x89003))))
% 197.76/197.84 [8932]P1(f326(f326(f234(f939(f938(x89321,x89321),a927)),f306(x89321,x89322)),f306(x89321,x89323)))+~P1(f326(f326(f234(f939(f938(x89321,x89321),a927)),x89322),x89323))
% 197.76/197.84 [9043]~P27(x90432,x90431,x90433,f241(f939(x90432,a927)))+E(f326(f72(x90431,x90432,x90432,f91(x90432,x90431,f241(f939(x90432,a927)),x90433)),x90433),f31(x90432))
% 197.76/197.84 [9104]P60(x91041,x91042,x91043)+~P60(x91041,x91042,f326(f326(f3(f939(f938(x91041,x91041),a927)),x91043),f306(x91041,f188(f939(f938(x91041,x91041),a927)))))
% 197.76/197.84 [9124]P1(f326(f326(f234(f939(f938(f932(x91241),f932(x91241)),a927)),f157(x91241,x91242)),f157(x91241,x91243)))+~P1(f326(f326(f234(f939(f938(x91241,x91241),a927)),x91242),x91243))
% 197.76/197.84 [9125]P1(f326(f326(f234(f939(f938(f932(x91251),f932(x91251)),a927)),f158(x91251,x91252)),f158(x91251,x91253)))+~P1(f326(f326(f234(f939(f938(x91251,x91251),a927)),x91252),x91253))
% 197.76/197.84 [9146]~P57(x91461,x91463,x91462)+P1(f326(f326(f234(f939(f938(x91461,x91461),a927)),x91462),f326(f326(f288(x91461,x91461,x91461),f326(f285(x91461,x91461),x91462)),x91462)))
% 197.76/197.84 [9199]~P1(f326(f137(x91991),x91992))+E(f326(f136(x91991,f326(f326(f9(x91991,f939(x91991,a927),a927),f328(x91991)),f326(f172(x91991),f176(x91991,x91992,x91993)))),x91992),f176(x91991,x91992,x91993))
% 197.76/197.84 [9252]E(x92521,x92522)+~P1(f326(f326(f328(f938(x92523,x92523)),f326(f326(f251(x92523,x92523),x92521),x92522)),f306(x92523,f188(f939(f938(x92523,x92523),a927)))))
% 197.76/197.84 [9334]P1(f326(f326(f328(x93341),x93342),f315(x93341,x93343)))+P1(f326(f326(f328(f938(x93341,x93341)),f326(f326(f251(x93341,x93341),f542(x93343,x93342,x93341)),x93342)),x93343))
% 197.76/197.84 [9335]P1(f326(f326(f328(x93351),x93352),f315(x93351,x93353)))+P1(f326(f326(f328(f938(x93351,x93351)),f326(f326(f251(x93351,x93351),f615(x93353,x93352,x93351)),x93352)),x93353))
% 197.76/197.84 [9336]P1(f326(f326(f328(x93361),x93362),f315(x93361,x93363)))+P1(f326(f326(f328(f938(x93361,x93361)),f326(f326(f251(x93361,x93361),f617(x93363,x93362,x93361)),x93362)),x93363))
% 197.76/197.84 [9372]P27(x93721,x93722,x93723,f241(f939(x93721,a927)))+~E(f326(f72(x93722,x93721,x93721,f91(x93721,x93722,f241(f939(x93721,a927)),x93723)),x93723),f31(x93721))
% 197.76/197.84 [9433]~P1(f326(f326(f328(f932(x94331)),x94333),f161(x94331,x94332)))+P1(f326(f160(x94331,f326(f326(f9(x94331,f939(x94331,a927),a927),f328(x94331)),x94332)),x94333))
% 197.76/197.84 [9456]P1(f326(x94563,x94562))+E(f326(f261(x94561),f326(f326(f20(x94561,a927,a927),f326(f326(f10(a927,f939(a927,a927),x94561),a324),f326(a323,x94562))),x94563)),f188(f939(x94561,a927)))
% 197.76/197.84 [9473]~P89(x94731)+P1(f326(f326(f234(x94731),f326(f75(x94731),f326(f326(f3(x94731),f326(f75(x94731),x94732)),f326(f75(x94731),x94733)))),f326(f75(x94731),f326(f326(f3(x94731),x94732),x94733))))
% 197.76/197.84 [9487]~P1(f326(x94873,x94872))+E(f326(f261(x94871),f326(f326(f20(x94871,a927,a927),f326(f326(f10(a927,f939(a927,a927),x94871),a324),f326(a323,x94872))),x94873)),f326(f326(f308(x94871),x94872),f188(f939(x94871,a927))))
% 197.76/197.84 [9496]~P1(f326(f326(f328(f939(x94961,a927)),x94963),f326(f307(x94961),x94962)))+P1(f326(f247(x94961,f326(f326(f9(x94961,f939(x94961,a927),a927),f328(x94961)),x94962)),x94963))
% 197.76/197.84 [9531]P41(x95311,x95312)+P1(f326(f326(f328(f938(x95311,x95311)),f326(f326(f251(x95311,x95311),f326(f582(x95312,x95311),f326(a112,x95313))),f326(f582(x95312,x95311),x95313))),x95312))
% 197.76/197.84 [9670]P1(f326(f326(f328(f932(x96701)),x96702),f161(x96701,x96703)))+~P1(f326(f160(x96701,f326(f326(f9(x96701,f939(x96701,a927),a927),f328(x96701)),x96703)),x96702))
% 197.76/197.84 [9685]P1(f326(f326(f328(f939(x96851,a927)),x96852),f326(f307(x96851),x96853)))+~P1(f326(f247(x96851,f326(f326(f9(x96851,f939(x96851,a927),a927),f328(x96851)),x96853)),x96852))
% 197.76/197.84 [9746]P1(f326(f326(f328(x97461),f326(f267(x97461,x97462),x97463)),f326(f172(x97461),f326(f326(f154(f938(a99,x97461),x97461),f255(a99,x97461)),x97462))))+~P1(f326(f326(f235(a99),x97463),f326(f165(a99),f326(f326(f154(f938(a99,x97461),a99),f250(a99,x97461)),x97462))))
% 197.76/197.84 [9793]P1(f326(f326(f234(f939(f938(f932(x97931),f932(x97931)),a927)),f158(x97931,x97932)),f326(f326(f253(f932(x97931),f932(x97931)),f161(x97931,x97933)),f326(f18(f939(f932(x97931),a927),f932(x97931)),f161(x97931,x97933)))))+~P1(f326(f326(f234(f939(f938(x97931,x97931),a927)),x97932),f326(f326(f253(x97931,x97931),x97933),f326(f18(f939(x97931,a927),x97931),x97933))))
% 197.76/197.84 [9817]P1(f326(f326(f328(x98171),f326(f250(x98171,f938(a99,a99)),f326(f265(x98171,x98172),x98173))),f326(f172(x98171),f326(f326(f154(f938(a99,x98171),x98171),f255(a99,x98171)),x98172))))+~P1(f326(f326(f235(a99),f2(a99)),f326(f165(a99),f326(f326(f154(f938(a99,x98171),a99),f250(a99,x98171)),x98172))))
% 197.76/197.84 [9832]~P1(f326(f326(f234(f939(f938(x98321,x98321),a927)),x98322),f326(f326(f253(x98321,x98321),x98323),f326(f18(f939(x98321,a927),x98321),x98323))))+P1(f326(f326(f234(f939(f938(x98321,x98321),a927)),f326(f326(f288(x98321,x98321,x98321),x98322),f306(x98321,x98322))),f326(f326(f253(x98321,x98321),x98323),f326(f18(f939(x98321,a927),x98321),x98323))))
% 197.76/197.84 [10133]~P41(x101331,x101332)+~P1(f326(f326(f328(f938(x101331,x101331)),f326(f326(f251(x101331,x101331),f326(x101333,f326(a112,f583(x101332,x101331,x101333)))),f326(x101333,f583(x101332,x101331,x101333)))),x101332))
% 197.76/197.84 [10134]~P41(x101341,x101342)+~P1(f326(f326(f328(f938(x101341,x101341)),f326(f326(f251(x101341,x101341),f326(x101343,f326(a112,f622(x101343,x101342,x101341)))),f326(x101343,f622(x101343,x101342,x101341)))),x101342))
% 197.76/197.84 [10395]P1(f326(f326(f234(f939(f938(f939(x103951,a927),f939(x103951,a927)),a927)),f326(f326(f288(f939(x103951,a927),f939(x103951,a927),f939(x103951,a927)),f317(x103951,x103952)),f326(f326(f110(f939(f938(f939(x103951,a927),f939(x103951,a927)),a927)),f317(x103951,x103953)),f326(f326(f308(f938(f939(x103951,a927),f939(x103951,a927))),f326(f326(f251(f939(x103951,a927),f939(x103951,a927)),f188(f939(x103951,a927))),f188(f939(x103951,a927)))),f188(f939(f938(f939(x103951,a927),f939(x103951,a927)),a927)))))),f317(x103951,x103952)))+~P1(f326(f326(f234(f939(f938(x103951,x103951),a927)),f326(f326(f288(x103951,x103951,x103951),x103952),x103953)),x103952))
% 197.76/197.84 [10396]P1(f326(f326(f234(f939(f938(f939(x103961,a927),f939(x103961,a927)),a927)),f326(f326(f288(f939(x103961,a927),f939(x103961,a927),f939(x103961,a927)),f318(x103961,x103962)),f326(f326(f110(f939(f938(f939(x103961,a927),f939(x103961,a927)),a927)),f318(x103961,x103963)),f326(f326(f308(f938(f939(x103961,a927),f939(x103961,a927))),f326(f326(f251(f939(x103961,a927),f939(x103961,a927)),f188(f939(x103961,a927))),f188(f939(x103961,a927)))),f188(f939(f938(f939(x103961,a927),f939(x103961,a927)),a927)))))),f318(x103961,x103962)))+~P1(f326(f326(f234(f939(f938(x103961,x103961),a927)),f326(f326(f288(x103961,x103961,x103961),x103962),x103963)),x103962))
% 197.76/197.84 [7541]~P1(f326(f326(f234(a931),x75412),x75411))+E(f326(f326(f3(a931),f326(a112,f326(f326(f3(a931),x75411),x75412))),x75413),f326(f326(f3(a931),f326(a112,x75411)),f326(f326(f79(a931),x75412),x75413)))
% 197.76/197.84 [7581]~P65(x75811)+E(f326(f326(f79(x75811),f45(x75811,x75812,x75813)),f326(f326(f80(x75811),f326(f326(f36(x75811),x75812),x75813)),x75813)),x75812)
% 197.76/197.84 [7786]E(f326(f326(f80(a931),f326(f103(a931),x77861)),f326(f326(f80(a931),f326(f103(a931),x77862)),x77863)),f326(f326(f80(a931),f326(f103(a931),f326(f326(f80(a1),x77861),x77862))),x77863))+P1(f326(f326(f235(a1),x77861),a82))
% 197.76/197.84 [8258]~P1(f326(f326(f234(a931),x82583),x82582))+P1(f326(f326(f234(a931),x82581),f326(f326(f3(a931),f326(f326(f79(a931),x82582),x82581)),x82583)))
% 197.76/197.84 [8459]~P1(f326(f326(f234(a931),x84591),x84592))+E(f326(f326(f134(a931),f139(a931,f326(f301(a931,x84591),x84592))),f139(a931,f326(f301(a931,x84592),f326(f326(f79(a931),x84592),x84593)))),f139(a931,f326(f301(a931,x84591),f326(f326(f79(a931),x84592),x84593))))
% 197.76/197.84 [8713]~P1(f326(f61(x87131),x87132))+E(f326(a112,f326(f35(x87131),f326(f326(f3(f939(x87131,a927)),x87132),f326(f326(f308(x87131),x87133),f188(f939(x87131,a927)))))),f326(f35(x87131),f326(f326(f308(x87131),x87133),x87132)))
% 197.76/197.84 [8752]~P1(f326(f61(x87521),x87522))+E(f326(f326(f79(a931),f77(a931)),f326(f35(x87521),f326(f326(f3(f939(x87521,a927)),x87522),f326(f326(f308(x87521),x87523),f188(f939(x87521,a927)))))),f326(f35(x87521),f326(f326(f308(x87521),x87523),x87522)))
% 197.76/197.84 [8941]E(f326(f326(f3(a931),f326(f35(x89411),x89412)),f326(f35(x89411),f326(f326(f101(f939(x89411,a927)),x89412),x89413))),f326(f35(x89411),f326(f326(f3(f939(x89411,a927)),x89412),x89413)))+~P1(f326(f61(x89411),f326(f326(f101(f939(x89411,a927)),x89412),x89413)))
% 197.76/197.84 [9194]~P8(f326(x91942,f412(x91942,x91943,x91941)))+E(f326(f100(a1),f326(f326(f8(x91941,a931),f326(f326(f10(a1,a931,x91941),a104),x91942)),x91943)),f326(f326(f8(x91941,a1),x91942),x91943))
% 197.76/197.84 [9195]~P8(f326(x91952,f409(x91952,x91953,x91951)))+E(f326(f100(a1),f326(f326(f11(x91951,a931),f326(f326(f10(a1,a931,x91951),a104),x91952)),x91953)),f326(f326(f11(x91951,a1),x91952),x91953))
% 197.76/197.84 [9235]~P1(f326(f61(x92351),x92353))+P1(f326(f326(f234(a931),f326(f326(f3(a931),f326(f35(x92351),x92352)),f326(f35(x92351),x92353))),f326(f35(x92351),f326(f326(f3(f939(x92351,a927)),x92352),x92353))))
% 197.76/197.84 [9262]P1(f326(f326(f328(x92621),f412(x92622,x92623,x92621)),x92623))+E(f326(f100(a1),f326(f326(f8(x92621,a931),f326(f326(f10(a1,a931,x92621),a104),x92622)),x92623)),f326(f326(f8(x92621,a1),x92622),x92623))
% 197.76/197.84 [9263]P1(f326(f326(f328(x92631),f409(x92632,x92633,x92631)),x92633))+E(f326(f100(a1),f326(f326(f11(x92631,a931),f326(f326(f10(a1,a931,x92631),a104),x92632)),x92633)),f326(f326(f11(x92631,a1),x92632),x92633))
% 197.76/197.84 [9326]E(f84(x93261,f326(f326(f9(x93261,f939(x93261,a927),a927),f328(x93261)),f326(f326(f3(f939(x93261,a927)),x93262),f326(f326(f308(x93261),x93263),f188(f939(x93261,a927)))))),f246(x93261,x93263,x93262))+P1(f326(f326(f234(f939(x93261,a927)),x93262),f326(f326(f308(x93261),x93263),f188(f939(x93261,a927)))))
% 197.76/197.84 [9686]E(f326(f326(f154(f932(x96861),x96861),f326(f326(f9(f932(x96861),a931,x96861),f164(x96861)),x96862)),f326(f136(f932(x96861),f326(f326(f10(a931,a927,f932(x96861)),f326(f235(a931),x96862)),f189(f932(x96861)))),x96863)),f326(f326(f164(f932(x96861)),f179(x96861,x96863)),x96862))+~P1(f326(f326(f235(a931),x96862),f326(f189(f932(f932(x96861))),f179(x96861,x96863))))
% 197.76/197.84 [9766]E(f326(f136(x97661,x97662),x97663),f177(x97661,x97662,x97663))+P1(f326(f326(f328(x97661),f734(x97663,x97662,x97661)),f326(f172(x97661),f326(f326(f138(x97661),f326(f189(f932(x97661)),f177(x97661,x97662,x97663))),x97663))))
% 197.76/197.84 [9907]E(f326(f326(f138(x99071),f326(f189(f932(x99071)),f177(x99071,x99072,x99073))),x99073),f113(x99071))+~P1(f326(x99072,f326(f141(x99071),f326(f326(f138(x99071),f326(f189(f932(x99071)),f177(x99071,x99072,x99073))),x99073))))
% 197.76/197.84 [9999]~P1(f326(f326(f328(f938(x99991,x99991)),x99992),f306(x99991,x99993)))+P1(f326(f326(f328(f938(x99991,x99991)),x99992),f326(f326(f40(a931,f939(f938(x99991,x99991),a927)),f241(f939(a931,a927))),f326(f326(f9(a931,f939(f938(x99991,x99991),a927),f939(f938(x99991,x99991),a927)),f183(f938(x99991,x99991),a927)),x99993))))
% 197.76/197.84 [10059]~P1(f326(f326(f234(f939(x100591,a927)),f326(f326(f40(a931,f939(x100591,a927)),f326(f301(a931,f2(a931)),f495(x100593,x100592,x100591))),x100592)),x100593))+P1(f326(f326(f234(f939(x100591,a927)),f326(f326(f40(a931,f939(x100591,a927)),f241(f939(a931,a927))),x100592)),x100593))
% 197.76/197.84 [10106]~P1(f326(f326(f235(a1),f2(a1)),x101063))+P1(f326(f326(f235(a1),x101061),f326(f326(f79(a1),x101062),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x101062),x101061))),f77(a1))),x101063))))
% 197.76/197.84 [10120]~P41(x101201,f326(f326(f110(f939(f938(x101201,x101201),a927)),x101202),x101203))+P41(x101201,f326(f326(f110(f939(f938(x101201,x101201),a927)),f326(f326(f110(f939(f938(x101201,x101201),a927)),f326(f326(f288(x101201,x101201,x101201),x101202),x101202)),f326(f326(f288(x101201,x101201,x101201),x101203),x101202))),x101203))
% 197.76/197.84 [10195]P41(x101951,f326(f326(f110(f939(f938(x101951,x101951),a927)),x101952),x101953))+~P41(x101951,f326(f326(f110(f939(f938(x101951,x101951),a927)),f326(f326(f110(f939(f938(x101951,x101951),a927)),f326(f326(f288(x101951,x101951,x101951),x101952),x101952)),f326(f326(f288(x101951,x101951,x101951),x101953),x101952))),x101953))
% 197.76/197.84 [9769]~P145(x97691)+E(f326(f102(x97691),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x97692),x97693)),f188(f939(f938(a931,a931),a927)))))),f326(f326(f3(x97691),f326(f100(x97691),x97692)),f326(f100(x97691),x97693)))
% 197.76/197.84 [9852]P1(f326(x98523,x98522))+E(f326(f261(x98521),f326(f326(f20(x98521,a927,a927),f326(f326(f10(a927,f939(a927,a927),x98521),a324),f326(f326(f9(x98521,x98521,a927),a323),x98522))),x98523)),f188(f939(x98521,a927)))
% 197.76/197.84 [9854]~P1(f326(x98543,x98542))+E(f326(f261(x98541),f326(f326(f20(x98541,a927,a927),f326(f326(f10(a927,f939(a927,a927),x98541),a324),f326(f326(f9(x98541,x98541,a927),a323),x98542))),x98543)),f326(f326(f308(x98541),x98542),f188(f939(x98541,a927))))
% 197.76/197.84 [10085]E(x100851,x100852)+P1(f326(f326(f242(x100853,x100853,f326(f326(f10(f939(x100853,a927),f939(x100853,a927),x100853),f326(f10(a927,a927,x100853),a321)),a323)),x100851),x100852))
% 197.76/197.84 [10175]~E(x101751,x101752)+~P1(f326(f326(f242(x101753,x101753,f326(f326(f10(f939(x101753,a927),f939(x101753,a927),x101753),f326(f10(a927,a927,x101753),a321)),a323)),x101751),x101752))
% 197.76/197.84 [10187]~P1(f326(f61(x101871),x101873))+E(f326(f326(f64(x101871,f939(x101871,a927),f326(f326(f10(f939(x101871,a927),f939(f939(x101871,a927),f939(x101871,a927)),x101871),f326(f9(f939(x101871,a927),f939(x101871,a927),f939(x101871,a927)),f3(f939(x101871,a927)))),f326(f326(f9(x101871,f939(x101871,a927),f939(x101871,a927)),f308(x101871)),f188(f939(x101871,a927))))),x101872),x101873),f326(f326(f3(f939(x101871,a927)),x101872),x101873))
% 197.76/197.84 [10219]~P1(f326(f326(f235(a1),f2(a1)),x102193))+P1(f326(f326(f235(a1),f326(f326(f3(a1),x102191),f326(f326(f80(a1),f326(f326(f79(a1),f326(f75(a1),f326(f326(f3(a1),x102191),x102192))),f77(a1))),x102193))),x102192))
% 197.76/197.84 [10481]~P1(f326(f326(f328(x104811),x104813),f315(x104811,x104812)))+P1(f326(f314(x104811,f326(f326(f9(x104811,f939(f938(x104811,x104811),a927),f939(x104811,a927)),f326(f326(f10(f939(x104811,f939(f939(f938(x104811,x104811),a927),a927)),f939(f939(f938(x104811,x104811),a927),f939(x104811,a927)),x104811),f9(x104811,f939(f938(x104811,x104811),a927),a927)),f326(f326(f10(f939(x104811,f938(x104811,x104811)),f939(x104811,f939(f939(f938(x104811,x104811),a927),a927)),x104811),f326(f10(f938(x104811,x104811),f939(f939(f938(x104811,x104811),a927),a927),x104811),f328(f938(x104811,x104811)))),f251(x104811,x104811)))),x104812)),x104813))
% 197.76/197.84 [10495]P1(f326(f326(f328(x104951),x104952),f315(x104951,x104953)))+~P1(f326(f314(x104951,f326(f326(f9(x104951,f939(f938(x104951,x104951),a927),f939(x104951,a927)),f326(f326(f10(f939(x104951,f939(f939(f938(x104951,x104951),a927),a927)),f939(f939(f938(x104951,x104951),a927),f939(x104951,a927)),x104951),f9(x104951,f939(f938(x104951,x104951),a927),a927)),f326(f326(f10(f939(x104951,f938(x104951,x104951)),f939(x104951,f939(f939(f938(x104951,x104951),a927),a927)),x104951),f326(f10(f938(x104951,x104951),f939(f939(f938(x104951,x104951),a927),a927),x104951),f328(f938(x104951,x104951)))),f251(x104951,x104951)))),x104953)),x104952))
% 197.76/197.84 [10057]~P1(f326(f61(x100571),f326(f261(x100571),x100573)))+P1(f326(f61(x100571),f326(f261(x100571),f326(f326(f20(x100571,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100571),a324),x100572)),x100573))))
% 197.76/197.84 [10058]~P1(f326(f61(x100581),f326(f261(x100581),x100582)))+P1(f326(f61(x100581),f326(f261(x100581),f326(f326(f20(x100581,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100581),a324),x100582)),x100583))))
% 197.76/197.84 [10154]P1(f326(f61(x101541),f326(f261(x101541),x101542)))+~P1(f326(f61(x101541),f326(f261(x101541),f326(f326(f20(x101541,a927,a927),f326(f326(f10(a927,f939(a927,a927),x101541),a325),x101543)),x101542))))
% 197.76/197.84 [10155]P1(f326(f61(x101551),f326(f261(x101551),x101552)))+~P1(f326(f61(x101551),f326(f261(x101551),f326(f326(f20(x101551,a927,a927),f326(f326(f10(a927,f939(a927,a927),x101551),a325),x101552)),x101553))))
% 197.76/197.84 [10458]~P1(f326(f61(x104581),x104582))+P1(f326(f61(f932(x104581)),f326(f261(f932(x104581)),f326(f326(f20(f932(x104581),a927,a927),f326(f326(f10(a927,f939(a927,a927),f932(x104581)),a324),f326(f326(f9(f932(x104581),f939(x104581,a927),a927),f326(f326(f10(f939(x104581,a927),f939(f939(x104581,a927),a927),f932(x104581)),f234(f939(x104581,a927))),f172(x104581))),x104582))),f326(f326(f9(f932(x104581),a931,a927),f326(f326(f10(a931,f939(a931,a927),f932(x104581)),a323),f189(f932(x104581)))),x104583)))))
% 197.76/197.84 [10459]~P1(f326(f61(x104591),x104592))+P1(f326(f61(f932(x104591)),f326(f261(f932(x104591)),f326(f326(f20(f932(x104591),a927,a927),f326(f326(f10(a927,f939(a927,a927),f932(x104591)),a324),f326(f326(f9(f932(x104591),f939(x104591,a927),a927),f326(f326(f10(f939(x104591,a927),f939(f939(x104591,a927),a927),f932(x104591)),f234(f939(x104591,a927))),f172(x104591))),x104592))),f326(f326(f9(f932(x104591),a931,a927),f326(f326(f10(a931,f939(a931,a927),f932(x104591)),f234(a931)),f189(f932(x104591)))),x104593)))))
% 197.76/197.84 [10168]~P115(x101681)+E(f326(f326(f243(x101681),x101682),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x101683)),f326(f326(f80(x101681),f326(f326(f243(x101681),x101682),x101683)),f326(f326(f243(x101681),x101682),x101683)))
% 197.76/197.84 [10200]~P85(x102001)+E(f326(f326(f243(x102001),f326(f326(f243(x102001),x102002),x102003)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x102001),x102002),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102003)))
% 197.76/197.84 [10256]~P145(x102561)+E(f326(f326(f243(x102561),f326(f78(x102561),x102562)),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102563)),f326(f326(f243(x102561),x102562),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102563)))
% 197.76/197.84 [10403]~P122(x104031)+P1(f326(f326(f234(x104031),f2(x104031)),f326(f326(f79(x104031),f326(f326(f243(x104031),x104032),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104031),x104033),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 197.76/197.84 [10266]~P115(x102661)+E(f326(f326(f243(x102661),x102662),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102663))),f326(f326(f80(x102661),x102662),f326(f326(f80(x102661),f326(f326(f243(x102661),x102662),x102663)),f326(f326(f243(x102661),x102662),x102663))))
% 197.76/197.84 [10316]~P85(x103161)+E(f326(f326(f80(x103161),x103162),f326(f326(f243(x103161),f326(f326(f243(x103161),x103162),x103163)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103161),x103162),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103163))))
% 197.76/197.84 [10357]~P122(x103571)+P1(f326(f326(f234(x103571),f2(x103571)),f326(f326(f243(x103571),x103572),f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x103573))))
% 197.76/197.84 [10434]~P98(x104341)+E(f326(f326(f3(x104341),f326(f326(f79(x104341),f326(f326(f243(x104341),x104342),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104341),x104343),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x104341),f326(f326(f80(x104341),f326(f103(x104341),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x104342)),x104343)),f326(f326(f243(x104341),f326(f326(f3(x104341),x104342),x104343)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [10435]~P98(x104351)+E(f326(f326(f79(x104351),f326(f326(f79(x104351),f326(f326(f243(x104351),x104352),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104351),x104353),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(f326(f80(x104351),f326(f326(f80(x104351),f326(f103(x104351),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x104352)),x104353)),f326(f326(f243(x104351),f326(f326(f79(x104351),x104352),x104353)),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [4927]E(x49271,x49272)+~E(f30(x49273,x49271),f30(x49274,x49272))
% 197.76/197.84 [4928]E(x49281,x49282)+~E(f30(x49281,x49283),f30(x49282,x49284))
% 197.76/197.84 [4929]E(x49291,x49292)+~E(f29(x49293,x49291),f29(x49294,x49292))
% 197.76/197.84 [4930]E(x49301,x49302)+~E(f29(x49301,x49303),f29(x49302,x49304))
% 197.76/197.84 [6083]P45(f29(x60831,x60833),x60832,x60834,x60832)+P1(f326(x60831,x60832))
% 197.76/197.84 [7217]~P45(x72171,x72172,x72173,x72174)+P45(x72171,x72172,f326(a112,x72173),x72174)
% 197.76/197.84 [8050]P27(x80501,x80502,x80503,x80504)+~E(f511(x80504,x80503,x80502,x80501),f520(x80504,x80503,x80502,x80501))
% 197.76/197.84 [8350]P38(x83501,x83502,x83503,x83504,f113(x83502))+~E(x83504,f113(x83501))
% 197.76/197.84 [8351]P38(x83511,x83512,x83513,f113(x83511),x83514)+~E(x83514,f113(x83512))
% 197.76/197.84 [8889]~P38(x88892,x88893,x88894,x88891,f113(x88893))+E(x88891,f113(x88892))
% 197.76/197.84 [8890]~P38(x88903,x88902,x88904,f113(x88903),x88901)+E(x88901,f113(x88902))
% 197.76/197.84 [5309]~P19(x53093,x53091,x53094)+E(f326(f326(x53091,x53092),x53092),x53092)
% 197.76/197.84 [5559]P1(f326(x55592,x55594))+E(f326(f136(x55591,x55592),f169(x55591,x55593,x55594)),f113(x55591))
% 197.76/197.84 [5596]~E(x55964,f188(f939(x55961,a927)))+E(f326(f309(x55961,x55962,x55963),x55964),f188(f939(x55962,a927)))
% 197.76/197.84 [5840]~P1(f326(x58402,x58404))+E(f326(f136(x58401,x58402),f169(x58401,x58403,x58404)),f169(x58401,x58403,x58404))
% 197.76/197.84 [5870]~E(f326(f309(x58702,x58703,x58704),x58701),f188(f939(x58703,a927)))+E(x58701,f188(f939(x58702,a927)))
% 197.76/197.84 [6057]~P9(x60571,x60573)+E(f270(x60571,x60572,f269(x60571,x60573),x60574),x60574)
% 197.76/197.84 [6167]~P111(x61672)+E(f326(f326(f148(x61671,x61672,x61673),x61674),f113(x61671)),f326(f326(f151(x61671),x61674),f113(x61671)))
% 197.76/197.84 [6527]~E(x65271,f188(f939(x65272,a927)))+~P1(f326(f62(x65272,x65273,x65271),x65274))
% 197.76/197.84 [6549]~P63(x65491,x65493,x65494,x65492)+P1(f326(f61(x65491),x65492))
% 197.76/197.84 [6551]~P63(x65511,x65513,x65512,x65514)+P1(f326(f61(x65511),x65512))
% 197.76/197.84 [6559]~P63(x65592,x65593,x65594,x65591)+~E(x65591,f188(f939(x65592,a927)))
% 197.76/197.84 [6591]~P112(x65911)+E(f326(f326(f101(f939(x65911,a927)),f326(f301(x65911,x65912),x65913)),f302(x65911,x65913,x65914)),f188(f939(x65911,a927)))
% 197.76/197.84 [6618]~P1(f326(f326(x66183,x66184),x66182))+P1(f326(f326(f328(x66181),x66182),f293(x66181,x66183,x66184)))
% 197.76/197.84 [6619]~P1(f326(f326(x66193,x66194),x66192))+P1(f326(f326(f328(x66191),x66192),f294(x66191,x66193,x66194)))
% 197.76/197.84 [6620]~P1(f326(f326(x66203,x66202),x66204))+P1(f326(f326(f328(x66201),x66202),f295(x66201,x66203,x66204)))
% 197.76/197.84 [6621]~P1(f326(f326(x66213,x66212),x66214))+P1(f326(f326(f328(x66211),x66212),f297(x66211,x66213,x66214)))
% 197.76/197.84 [6764]~P112(x67641)+E(f326(f326(f101(f939(x67641,a927)),f302(x67641,x67642,x67643)),f305(x67641,x67643,x67644)),f188(f939(x67641,a927)))
% 197.76/197.84 [6765]~P112(x67651)+E(f326(f326(f101(f939(x67651,a927)),f302(x67651,x67652,x67653)),f304(x67651,x67653,x67654)),f188(f939(x67651,a927)))
% 197.76/197.84 [6766]~P112(x67661)+E(f326(f326(f101(f939(x67661,a927)),f305(x67661,x67662,x67663)),f302(x67661,x67663,x67664)),f188(f939(x67661,a927)))
% 197.76/197.84 [6767]~P112(x67671)+E(f326(f326(f101(f939(x67671,a927)),f304(x67671,x67672,x67673)),f305(x67671,x67673,x67674)),f188(f939(x67671,a927)))
% 197.76/197.84 [6768]~P112(x67681)+E(f326(f326(f101(f939(x67681,a927)),f304(x67681,x67682,x67683)),f304(x67681,x67683,x67684)),f188(f939(x67681,a927)))
% 197.76/197.84 [6806]P1(f326(f326(x68061,x68062),f586(x68062,x68061)))+~P1(f326(f248(x68063,x68064,x68061),x68062))
% 197.76/197.84 [6885]~P111(x68852)+E(f326(f172(x68851),f150(x68851,x68852,x68853,x68854)),f326(f172(x68851),x68854))
% 197.76/197.84 [6935]~P148(x69351)+E(f190(x69351,x69352,f326(a112,x69353),x69354),f190(x69351,x69352,x69353,f326(x69352,x69354)))
% 197.76/197.84 [6996]~P1(f326(f326(f328(x69964),x69963),f293(x69964,x69961,x69962)))+P1(f326(f326(x69961,x69962),x69963))
% 197.76/197.84 [6997]~P1(f326(f326(f328(x69974),x69973),f294(x69974,x69971,x69972)))+P1(f326(f326(x69971,x69972),x69973))
% 197.76/197.84 [6998]~P1(f326(f326(f328(x69984),x69982),f295(x69984,x69981,x69983)))+P1(f326(f326(x69981,x69982),x69983))
% 197.76/197.84 [6999]~P1(f326(f326(f328(x69994),x69992),f297(x69994,x69991,x69993)))+P1(f326(f326(x69991,x69992),x69993))
% 197.76/197.84 [7075]E(f326(f35(f937(x70751,x70752)),f312(x70751,x70752,x70753,x70754)),f2(a931))+P1(f326(f61(x70752),x70754))
% 197.76/197.84 [7076]E(f326(f35(f937(x70761,x70762)),f312(x70761,x70762,x70763,x70764)),f2(a931))+P1(f326(f61(x70761),x70763))
% 197.76/197.84 [7279]~P16(x72794,x72791,x72792)+E(f326(f72(x72791,x72791,x72791,f326(x72792,x72793)),f326(x72792,x72793)),f326(x72792,x72793))
% 197.76/197.84 [7526]E(f276(x75261,x75262,x75263,x75264),f326(f251(f939(a99,f939(a927,f935(f933(x75261)))),f938(a99,a99)),f41(x75261)))+~P1(f326(f326(f234(a99),x75263),f2(a99)))
% 197.76/197.84 [8179]~E(x81792,x81793)+P1(f326(f326(f328(f938(x81791,x81791)),f326(f326(f251(x81791,x81791),x81792),x81793)),f306(x81791,x81794)))
% 197.76/197.84 [8208]~P27(x82081,x82082,x82083,f241(f939(x82081,a927)))+E(f326(f76(x82081,x82082,f241(f939(x82081,a927)),x82083),f326(x82083,x82084)),x82084)
% 197.76/197.84 [8209]~P27(x82091,x82092,x82093,f241(f939(x82091,a927)))+E(f326(f91(x82091,x82092,f241(f939(x82091,a927)),x82093),f326(x82093,x82094)),x82094)
% 197.76/197.84 [8299]~P1(f326(f326(f328(f932(x82991)),f326(f326(f151(x82991),x82994),x82992)),f161(x82991,x82993)))+P1(f326(f326(f328(f932(x82991)),x82992),f161(x82991,x82993)))
% 197.76/197.84 [8300]~P1(f326(f326(f328(f932(x83001)),f326(f326(f134(x83001),x83004),x83002)),f161(x83001,x83003)))+P1(f326(f326(f328(f932(x83001)),x83002),f161(x83001,x83003)))
% 197.76/197.84 [8301]~P1(f326(f326(f328(f932(x83011)),f326(f326(f134(x83011),x83012),x83014)),f161(x83011,x83013)))+P1(f326(f326(f328(f932(x83011)),x83012),f161(x83011,x83013)))
% 197.76/197.84 [8312]~P111(x83121)+P15(x83121,f326(f326(f154(x83122,x83121),x83123),f150(x83122,x83121,x83123,x83124)))
% 197.76/197.84 [8417]P27(x84174,x84173,x84171,x84172)+E(f326(x84171,f511(x84172,x84171,x84173,x84174)),f326(x84171,f520(x84172,x84171,x84173,x84174)))
% 197.76/197.84 [8523]~P27(x85232,x85231,x85234,x85233)+P27(x85231,x85232,f76(x85232,x85231,x85233,x85234),f326(f309(x85232,x85231,x85234),x85233))
% 197.76/197.84 [8663]P41(f938(x86632,x86634),f279(x86632,x86634,x86631,x86633))+P1(f326(x86631,f587(x86632,x86633,x86634,x86631)))
% 197.76/197.84 [8777]E(x87771,x87772)+~P1(f326(f326(f328(f938(x87773,x87773)),f326(f326(f251(x87773,x87773),x87771),x87772)),f262(x87773,x87774)))
% 197.76/197.84 [8841]~P1(f326(f61(f937(x88413,x88411)),f312(x88413,x88411,x88414,x88412)))+P1(f326(f61(x88411),x88412))
% 197.76/197.84 [8842]~P1(f326(f61(f937(x88421,x88423)),f312(x88421,x88423,x88422,x88424)))+P1(f326(f61(x88421),x88422))
% 197.76/197.84 [8851]~P27(x88511,x88512,x88513,x88514)+P28(x88511,x88512,x88513,x88514,f326(f309(x88511,x88512,x88513),x88514))
% 197.76/197.84 [8852]P13(x88521,x88522,x88523,x88524)+~E(f326(x88524,f852(x88522,x88524,x88523,x88521)),f326(x88524,f853(x88522,x88524,x88523,x88521)))
% 197.76/197.84 [8942]~P28(x89422,x89423,x89424,x89421,f188(f939(x89423,a927)))+E(x89421,f188(f939(x89422,a927)))
% 197.76/197.84 [8943]~P28(x89433,x89432,x89434,f188(f939(x89433,a927)),x89431)+E(x89431,f188(f939(x89432,a927)))
% 197.76/197.84 [9035]P41(f938(x90351,x90352),f279(x90351,x90352,x90353,x90354))+~P41(x90352,f326(x90354,f587(x90351,x90354,x90352,x90353)))
% 197.76/197.84 [9606]E(f326(f326(f159(x96061,x96062),f681(x96063,x96064,x96062,x96061)),f682(x96063,x96064,x96062,x96061)),x96064)+~P1(f326(f326(f328(f938(f932(x96061),f932(x96061))),f326(f326(f251(f932(x96061),f932(x96061)),x96062),x96064)),f157(x96061,x96063)))
% 197.76/197.84 [9611]~P1(f326(f326(f328(f938(f932(x96111),f932(x96111))),f326(f326(f251(f932(x96111),f932(x96111)),x96112),x96113)),f145(x96111,x96114)))+P1(f326(f326(f328(f938(f932(x96111),f932(x96111))),f326(f326(f251(f932(x96111),f932(x96111)),x96112),x96113)),f147(x96111,x96114)))
% 197.76/197.84 [9723]P1(f326(f61(x97231),x97232))+~P1(f326(f326(f328(f938(f939(x97231,a927),f939(x97231,a927))),f326(f326(f251(f939(x97231,a927),f939(x97231,a927)),x97233),x97232)),f318(x97231,x97234)))
% 197.76/197.84 [9724]P1(f326(f61(x97241),x97242))+~P1(f326(f326(f328(f938(f939(x97241,a927),f939(x97241,a927))),f326(f326(f251(f939(x97241,a927),f939(x97241,a927)),x97242),x97243)),f318(x97241,x97244)))
% 197.76/197.84 [9727]~E(x97271,f188(f939(x97272,a927)))+~P1(f326(f326(f328(f938(f939(x97272,a927),f939(x97272,a927))),f326(f326(f251(f939(x97272,a927),f939(x97272,a927)),x97273),x97271)),f318(x97272,x97274)))
% 197.76/197.84 [10368]P13(x103681,x103682,x103683,x103684)+~P1(f326(f326(f256(x103681,x103681,a927),f326(f326(f9(x103681,f939(x103681,x103682),f939(x103681,a927)),f326(f326(f10(f939(x103682,a927),f939(f939(x103681,x103682),f939(x103681,a927)),x103681),f10(x103682,a927,x103681)),f326(f326(f10(x103682,f939(x103682,a927),x103681),a323),x103684))),x103684)),f514(x103684,x103683,x103682,x103681)))
% 197.76/197.84 [5209]~E(x52092,f113(x52091))+E(f326(f326(f159(x52091,x52092),x52093),x52094),f113(x52091))
% 197.76/197.84 [5210]~E(x52104,f113(x52101))+E(f326(f326(f154(x52101,x52102),x52103),x52104),f113(x52102))
% 197.76/197.84 [5441]E(x54411,f113(x54412))+~E(f326(f326(f154(x54412,x54413),x54414),x54411),f113(x54413))
% 197.76/197.84 [5442]E(x54421,f113(x54422))+~E(f326(f326(f159(x54422,x54421),x54423),x54424),f113(x54422))
% 197.76/197.84 [5479]E(x54791,x54792)+~E(f326(f326(f134(x54793),x54794),x54791),f326(f326(f134(x54793),x54794),x54792))
% 197.76/197.84 [5480]E(x54801,x54802)+~E(f326(f326(f134(x54803),x54801),x54804),f326(f326(f134(x54803),x54802),x54804))
% 197.76/197.84 [5633]P1(f326(x56333,x56332))+E(f170(x56331,x56332,f326(f136(x56331,x56333),x56334)),f326(f136(x56331,x56333),x56334))
% 197.76/197.84 [5635]~P1(f326(x56352,x56353))+P37(x56351,x56352,f326(f326(f151(x56351),x56353),x56354))
% 197.76/197.84 [5644]E(x56441,x56442)+~E(f139(a931,f326(f301(a931,x56441),x56443)),f326(f326(f151(a931),x56442),x56444))
% 197.76/197.84 [5692]~P29(x56922,x56923)+P29(x56921,f326(f326(f73(x56922,x56921),x56923),x56924))
% 197.76/197.84 [5693]~P41(x56932,x56933)+P41(x56931,f326(f326(f287(x56932,x56931),x56933),x56934))
% 197.76/197.84 [5694]~P42(x56942,x56943)+P42(x56941,f326(f326(f287(x56942,x56941),x56943),x56944))
% 197.76/197.84 [5695]~P56(x56952,x56953)+P56(x56951,f326(f326(f287(x56952,x56951),x56953),x56954))
% 197.76/197.84 [5824]~P37(x58241,x58242,x58244)+P37(x58241,x58242,f326(f326(f151(x58241),x58243),x58244))
% 197.76/197.84 [5825]~P37(x58251,x58252,x58254)+P37(x58251,x58252,f326(f326(f134(x58251),x58253),x58254))
% 197.76/197.84 [5826]~P37(x58261,x58262,x58263)+P37(x58261,x58262,f326(f326(f134(x58261),x58263),x58264))
% 197.76/197.84 [5913]~E(x59131,f113(x59132))+~E(f326(f326(f134(x59132),x59133),f326(f326(f151(x59132),x59134),f113(x59132))),x59131)
% 197.76/197.84 [5938]~P35(x59383,x59381,f326(f326(f151(x59383),x59382),x59384))+P1(f326(x59381,x59382))
% 197.76/197.84 [5948]E(f114(x59481,x59482),x59483)+~E(f326(f326(f134(x59481),x59483),f326(f326(f151(x59481),x59484),f113(x59481))),x59482)
% 197.76/197.84 [5949]E(f144(x59491,x59492),x59493)+~E(f326(f326(f134(x59491),x59494),f326(f326(f151(x59491),x59493),f113(x59491))),x59492)
% 197.76/197.84 [6059]~E(f139(a931,f326(f301(a931,x60591),x60592)),f326(f326(f151(a931),x60593),x60594))+P1(f326(f326(f235(a931),x60591),x60592))
% 197.76/197.84 [6068]P35(x60681,x60682,x60683)+~P35(x60681,x60682,f326(f326(f151(x60681),x60684),x60683))
% 197.76/197.84 [6069]P35(x60691,x60692,x60693)+~P35(x60691,x60692,f326(f326(f134(x60691),x60694),x60693))
% 197.76/197.84 [6070]P35(x60701,x60702,x60703)+~P35(x60701,x60702,f326(f326(f134(x60701),x60703),x60704))
% 197.76/197.84 [6271]E(x62711,f326(f326(f134(x62712),f326(f168(x62712),x62713)),f326(f326(f151(x62712),x62714),f113(x62712))))+~E(f326(f168(x62712),x62711),f326(f326(f151(x62712),x62714),x62713))
% 197.76/197.84 [6449]~P112(x64491)+E(f326(f326(f101(f939(x64491,a927)),f326(f301(x64491,x64492),x64493)),f326(f301(x64491,x64493),x64494)),f188(f939(x64491,a927)))
% 197.76/197.84 [6460]E(f326(f326(f164(x64601),f169(x64601,x64602,x64603)),x64604),x64603)+~P1(f326(f326(f235(a931),x64604),x64602))
% 197.76/197.84 [6487]~P79(x64871)+E(f326(f165(x64871),f326(f326(f154(a1,x64871),x64872),f178(x64873,x64874))),f326(f326(f8(a1,x64871),x64872),f326(f172(a1),f178(x64873,x64874))))
% 197.76/197.84 [6488]~P79(x64881)+E(f326(f326(f8(a1,x64881),x64882),f326(f172(a1),f178(x64883,x64884))),f326(f165(x64881),f326(f326(f154(a1,x64881),x64882),f178(x64883,x64884))))
% 197.76/197.84 [6631]~E(x66312,f326(f326(f134(x66311),f326(f168(x66311),x66314)),f326(f326(f151(x66311),x66313),f113(x66311))))+E(f326(f168(x66311),x66312),f326(f326(f151(x66311),x66313),x66314))
% 197.76/197.84 [6647]~P21(x66472,x66473,x66474,x66471)+E(f326(x66471,f188(f939(x66472,a927))),f31(x66473))
% 197.76/197.84 [6674]~P112(x66741)+E(f326(f326(f101(f939(x66741,a927)),f305(x66741,x66742,x66743)),f326(f301(x66741,x66743),x66744)),f188(f939(x66741,a927)))
% 197.76/197.84 [6886]E(x68861,f188(f939(x68862,a927)))+~E(f312(x68863,x68862,x68864,x68861),f188(f939(f937(x68863,x68862),a927)))
% 197.76/197.84 [6887]E(x68871,f188(f939(x68872,a927)))+~E(f312(x68872,x68873,x68871,x68874),f188(f939(f937(x68872,x68873),a927)))
% 197.76/197.84 [6955]~P111(x69552)+E(f326(f189(f932(x69551)),f150(x69551,x69552,x69553,x69554)),f326(f189(f932(x69551)),x69554))
% 197.76/197.84 [6966]~P1(f326(f249(x69663,x69664,x69661),x69662))+P1(f326(f326(x69661,f571(x69662,x69661)),x69662))
% 197.76/197.84 [7008]~P1(f326(f61(x70082),x70084))+P1(f326(f61(x70081),f326(f309(x70082,x70081,x70083),x70084)))
% 197.76/197.84 [7240]~P27(x72402,x72401,x72403,x72404)+E(f326(f35(x72401),f326(f309(x72402,x72401,x72403),x72404)),f326(f35(x72402),x72404))
% 197.76/197.84 [7258]E(f326(f309(x72581,x72582,x72583),f326(f310(x72581,x72582,x72583),x72584)),x72584)+~E(f326(f309(x72581,x72582,x72583),f241(f939(x72581,a927))),f241(f939(x72582,a927)))
% 197.76/197.84 [7681]~P27(x76811,x76812,x76813,f241(f939(x76811,a927)))+E(f326(f310(x76811,x76812,x76813),f326(f309(x76811,x76812,x76813),x76814)),x76814)
% 197.76/197.84 [7968]E(x79681,x79682)+~P1(f326(f326(f328(x79683),x79681),f326(f172(x79683),f169(x79683,x79684,x79682))))
% 197.76/197.84 [7977]~E(x79771,f2(a931))+~P1(f326(f326(f328(x79772),x79773),f326(f172(x79772),f169(x79772,x79771,x79774))))
% 197.76/197.84 [8010]P1(f326(x80101,x80102))+~P1(f326(f326(f328(x80103),x80102),f326(f172(x80103),f177(x80103,x80101,x80104))))
% 197.76/197.84 [8124]~P1(f326(f326(f328(f932(x81241)),f326(f326(f151(x81241),x81242),x81244)),f161(x81241,x81243)))+P1(f326(f326(f328(x81241),x81242),x81243))
% 197.76/197.84 [8255]~P1(f326(f326(f328(x82551),x82552),f326(f172(x82551),f176(x82551,x82553,x82554))))+P1(f326(f326(f328(x82551),x82552),f326(f172(x82551),x82553)))
% 197.76/197.84 [8256]~P1(f326(f326(f328(x82561),x82562),f326(f172(x82561),f170(x82561,x82564,x82563))))+P1(f326(f326(f328(x82561),x82562),f326(f172(x82561),x82563)))
% 197.76/197.84 [8257]~P1(f326(f326(f328(x82571),x82572),f326(f172(x82571),f177(x82571,x82574,x82573))))+P1(f326(f326(f328(x82571),x82572),f326(f172(x82571),x82573)))
% 197.76/197.84 [8267]E(f326(f189(f932(x82671)),x82672),x82673)+~P1(f326(f326(f328(f932(x82671)),x82672),f326(f172(f932(x82671)),f55(x82671,x82673,x82674))))
% 197.76/197.84 [8364]P1(f326(x83643,x83642))+E(f326(f136(x83641,f326(f326(f10(a927,a927,x83641),a321),f326(a323,x83642))),f326(f136(x83641,x83643),x83644)),f326(f136(x83641,x83643),x83644))
% 197.76/197.84 [8475]E(f326(f326(f164(x84751),f177(x84751,x84752,x84753)),x84754),f326(f326(f164(x84751),x84753),x84754))+~P1(f326(f326(f235(a931),x84754),f326(f189(f932(x84751)),f177(x84751,x84752,x84753))))
% 197.76/197.84 [8561]~P79(x85611)+E(f326(f326(f8(a931,x85611),f326(f326(f10(a931,x85611,a931),x85612),a112)),f326(f301(a931,x85613),x85614)),f326(f326(f8(a931,x85611),x85612),f326(f301(a931,f326(a112,x85613)),f326(a112,x85614))))
% 197.76/197.84 [8570]~P79(x85701)+E(f326(f326(f8(a931,x85701),f326(f326(f10(a931,x85701,a931),x85702),a112)),f302(a931,x85703,x85704)),f326(f326(f8(a931,x85701),x85702),f302(a931,f326(a112,x85703),f326(a112,x85704))))
% 197.76/197.84 [8698]~P27(x86981,x86983,x86984,f241(f939(x86981,a927)))+P27(x86981,f939(x86982,x86983),f326(f326(f10(x86983,f939(x86982,x86983),x86981),f18(x86983,x86982)),x86984),f241(f939(x86981,a927)))
% 197.76/197.84 [8783]~P27(x87832,x87831,x87834,x87833)+E(f326(f309(x87831,x87832,f76(x87832,x87831,x87833,x87834)),f326(f309(x87832,x87831,x87834),x87833)),x87833)
% 197.76/197.84 [8843]~P1(f326(f326(f328(f938(x88431,x88431)),f326(f326(f251(x88431,x88431),x88432),x88434)),f262(x88431,x88433)))+P1(f326(f326(f328(x88431),x88432),x88433))
% 197.76/197.84 [8966]~P27(x89662,x89661,x89663,f241(f939(x89662,a927)))+E(f326(f309(x89661,x89662,f91(x89662,x89661,f241(f939(x89662,a927)),x89663)),f326(f309(x89662,x89661,x89663),x89664)),x89664)
% 197.76/197.84 [9041]~P28(x90411,x90412,x90413,x90414,f241(f939(x90412,a927)))+E(f326(f309(x90411,x90412,x90413),f241(f939(x90411,a927))),f241(f939(x90412,a927)))
% 197.76/197.84 [9074]~E(f326(f326(f8(x90741,a931),x90744),x90743),f326(a112,x90742))+P1(f326(f326(f328(x90741),f911(x90742,x90743,x90744,x90741)),x90743))
% 197.76/197.84 [9096]~E(f326(f326(f8(x90964,a931),x90961),x90963),f326(a112,x90962))+P1(f326(f326(f235(a931),f2(a931)),f326(x90961,f911(x90962,x90963,x90961,x90964))))
% 197.76/197.84 [9107]~P1(f326(f61(x91072),x91074))+P1(f326(f326(f234(a931),f326(f35(x91071),f326(f309(x91072,x91071,x91073),x91074))),f326(f35(x91072),x91074)))
% 197.76/197.84 [9108]E(f326(f326(f251(x91081,x91082),f653(x91083,x91084,x91082,x91081)),f654(x91083,x91084,x91082,x91081)),x91084)+~P1(f326(f326(f328(f938(x91081,x91082)),x91084),f326(f285(x91082,x91081),x91083)))
% 197.76/197.84 [9116]P27(x91161,x91162,x91163,x91164)+P1(f326(f326(f328(x91161),f511(x91164,x91163,x91162,x91161)),x91164))
% 197.76/197.84 [9117]P27(x91171,x91172,x91173,x91174)+P1(f326(f326(f328(x91171),f520(x91174,x91173,x91172,x91171)),x91174))
% 197.76/197.84 [9186]P13(x91861,x91862,x91863,x91864)+P1(f326(f326(f328(f938(x91861,x91861)),f514(x91864,x91863,x91862,x91861)),x91863))
% 197.76/197.84 [9240]P1(f326(x92401,x92402))+~P1(f326(x92401,f326(f326(f251(x92403,x92404),f403(x92404,x92403,x92401)),f404(x92404,x92403,x92401))))
% 197.76/197.84 [9257]E(f326(f189(f932(x92571)),x92572),f326(f189(f932(x92571)),x92573))+~P1(f326(f326(f328(f938(f932(x92571),f932(x92571))),f326(f326(f251(f932(x92571),f932(x92571)),x92572),x92573)),f145(x92571,x92574)))
% 197.76/197.84 [9258]E(f326(f189(f932(x92581)),x92582),f326(f189(f932(x92581)),x92583))+~P1(f326(f326(f328(f938(f932(x92581),f932(x92581))),f326(f326(f251(f932(x92581),f932(x92581)),x92582),x92583)),f157(x92581,x92584)))
% 197.76/197.84 [9261]E(f326(f189(f932(x92611)),x92612),f326(f189(f932(x92611)),x92613))+~P1(f326(f326(f328(f938(f932(x92611),f932(x92611))),f326(f326(f251(f932(x92611),f932(x92611)),x92612),x92613)),f158(x92611,x92614)))
% 197.76/197.84 [9330]P1(f326(f326(f234(a931),f155(x93301,x93302,x93303)),f155(x93301,x93304,x93303)))+P1(f326(f326(f328(x93301),f680(x93304,x93302,x93303,x93301)),f326(f172(x93301),x93303)))
% 197.76/197.84 [9333]E(f326(f189(f932(x93331)),x93332),f326(f189(f932(x93331)),x93333))+~P1(f326(f326(f328(f938(f932(x93331),f932(x93331))),f326(f326(f251(f932(x93331),f932(x93331)),x93332),x93333)),f306(f932(x93331),f157(x93331,x93334))))
% 197.76/197.84 [9577]~P27(x95771,x95772,x95773,x95774)+~P1(f326(f326(f235(a931),f326(f35(x95772),f326(f309(x95771,x95772,x95773),x95774))),f326(f35(x95771),x95774)))
% 197.76/197.84 [9624]~P1(f326(f326(f328(f938(f932(x96241),f932(x96241))),f326(f326(f251(f932(x96241),f932(x96241)),x96242),x96243)),f157(x96241,x96244)))+P1(f326(f326(f328(f938(f932(x96241),f932(x96241))),f326(f326(f251(f932(x96241),f932(x96241)),x96242),x96243)),f158(x96241,f306(x96241,x96244))))
% 197.76/197.84 [9628]~P1(f326(f326(f328(f938(f932(x96281),f932(x96281))),f326(f326(f251(f932(x96281),f932(x96281)),x96282),x96283)),f158(x96281,x96284)))+P1(f326(f326(f328(f938(f932(x96281),f932(x96281))),f326(f326(f251(f932(x96281),f932(x96281)),x96282),x96283)),f306(f932(x96281),f157(x96281,x96284))))
% 197.76/197.84 [9644]P1(f326(f326(f328(f938(x96441,x96441)),f326(f326(f251(x96441,x96441),x96442),x96443)),f306(x96441,x96444)))+~P1(f326(f326(f328(f938(x96441,x96441)),f326(f326(f251(x96441,x96441),x96442),x96443)),f326(f326(f288(x96441,x96441,x96441),x96444),f306(x96441,x96444))))
% 197.76/197.84 [9833]E(f326(f326(f134(x98331),f697(x98332,x98333,x98334,x98331)),f326(f326(f151(x98331),f698(x98332,x98333,x98334,x98331)),f700(x98332,x98333,x98334,x98331))),x98334)+~P1(f326(f326(f328(f938(f932(x98331),f932(x98331))),f326(f326(f251(f932(x98331),f932(x98331)),x98334),x98333)),f157(x98331,x98332)))
% 197.76/197.84 [9834]E(f326(f326(f134(x98341),f697(x98342,x98343,x98344,x98341)),f326(f326(f151(x98341),f699(x98342,x98343,x98344,x98341)),f700(x98342,x98343,x98344,x98341))),x98343)+~P1(f326(f326(f328(f938(f932(x98341),f932(x98341))),f326(f326(f251(f932(x98341),f932(x98341)),x98344),x98343)),f157(x98341,x98342)))
% 197.76/197.84 [9914]P1(f326(f326(f328(f938(x99141,x99141)),f326(f326(f251(x99141,x99141),x99142),f646(x99143,x99144,x99142,x99141))),f306(x99141,x99143)))+~P1(f326(f326(f328(f938(x99141,x99141)),f326(f326(f251(x99141,x99141),x99142),x99144)),f326(f326(f288(x99141,x99141,x99141),x99143),f306(x99141,x99143))))
% 197.76/197.84 [9982]P1(f326(f326(f234(a931),f155(x99821,x99822,x99823)),f155(x99821,x99824,x99823)))+~P1(f326(f326(f235(a931),f326(x99822,f680(x99824,x99822,x99823,x99821))),f326(x99824,f680(x99824,x99822,x99823,x99821))))
% 197.76/197.84 [10053]P1(f326(f326(f328(f938(x100531,x100531)),f326(f326(f251(x100531,x100531),f645(x100532,x100533,x100534,x100531)),x100533)),f306(x100531,x100532)))+~P1(f326(f326(f328(f938(x100531,x100531)),f326(f326(f251(x100531,x100531),x100534),x100533)),f326(f326(f288(x100531,x100531,x100531),x100532),f306(x100531,x100532))))
% 197.76/197.84 [5461]~E(x54612,x54613)+E(f170(x54611,x54612,f326(f326(f151(x54611),x54613),x54614)),x54614)
% 197.76/197.84 [5589]P1(f326(x55892,x55893))+E(f177(x55891,x55892,f326(f326(f151(x55891),x55893),x55894)),f113(x55891))
% 197.76/197.84 [5656]~P93(x56562)+E(f326(f326(f78(f939(x56561,x56562)),x56563),x56564),f326(f78(x56562),f326(x56563,x56564)))
% 197.76/197.84 [5669]~E(x56692,f2(a931))+E(f326(f326(f138(x56691),x56692),f326(f326(f151(x56691),x56693),x56694)),f326(f326(f151(x56691),x56693),x56694))
% 197.76/197.84 [5670]P1(f326(x56702,x56703))+E(f326(f136(x56701,x56702),f326(f326(f151(x56701),x56703),x56704)),f326(f136(x56701,x56702),x56704))
% 197.76/197.84 [5807]~E(x58072,x58074)+P1(f326(f326(f326(f308(x58071),x58072),x58073),x58074))
% 197.76/197.84 [5815]E(x58151,f113(x58152))+E(f144(x58153,f326(f326(f154(x58152,x58153),x58154),x58151)),f326(x58154,f144(x58152,x58151)))
% 197.76/197.84 [5829]~E(x58291,f63(x58292,x58294))+E(f326(x58291,f326(f326(f308(x58292),x58293),f188(f939(x58292,a927)))),x58293)
% 197.76/197.84 [5865]E(x58651,f113(x58652))+E(f326(f141(x58653),f326(f326(f154(x58652,x58653),x58654),x58651)),f326(x58654,f326(f141(x58652),x58651)))
% 197.76/197.84 [5968]~P1(f326(x59683,x59684))+P1(f326(f326(f326(f308(x59681),x59682),x59683),x59684))
% 197.76/197.84 [6089]~P20(x60892,x60894,x60891)+E(f326(x60891,f326(f326(f308(x60892),x60893),f188(f939(x60892,a927)))),x60893)
% 197.76/197.84 [6116]~E(x61162,x61163)+P1(f326(f326(f328(x61161),x61162),f326(f326(f308(x61161),x61163),x61164)))
% 197.76/197.84 [6121]~P3(x61211)+E(f326(f326(f110(x61211),x61212),f326(f326(f110(x61211),x61213),x61214)),f326(f326(f110(x61211),x61213),f326(f326(f110(x61211),x61212),x61214)))
% 197.76/197.84 [6123]~P104(x61231)+E(f326(f326(f110(x61231),x61232),f326(f326(f110(x61231),x61233),x61234)),f326(f326(f110(x61231),x61233),f326(f326(f110(x61231),x61232),x61234)))
% 197.76/197.84 [6124]~P115(x61241)+E(f326(f326(f80(x61241),x61242),f326(f326(f80(x61241),x61243),x61244)),f326(f326(f80(x61241),x61243),f326(f326(f80(x61241),x61242),x61244)))
% 197.76/197.84 [6125]~P115(x61251)+E(f326(f326(f79(x61251),x61252),f326(f326(f79(x61251),x61253),x61254)),f326(f326(f79(x61251),x61253),f326(f326(f79(x61251),x61252),x61254)))
% 197.76/197.84 [6126]~P3(x61261)+E(f326(f326(f101(x61261),x61262),f326(f326(f101(x61261),x61263),x61264)),f326(f326(f101(x61261),x61263),f326(f326(f101(x61261),x61262),x61264)))
% 197.76/197.84 [6128]~P105(x61281)+E(f326(f326(f101(x61281),x61282),f326(f326(f101(x61281),x61283),x61284)),f326(f326(f101(x61281),x61283),f326(f326(f101(x61281),x61282),x61284)))
% 197.76/197.84 [6130]~P111(x61301)+E(f326(f326(f232(x61301),x61302),f326(f326(f232(x61301),x61303),x61304)),f326(f326(f232(x61301),x61303),f326(f326(f232(x61301),x61302),x61304)))
% 197.76/197.84 [6132]~P111(x61321)+E(f326(f326(f233(x61321),x61322),f326(f326(f233(x61321),x61323),x61324)),f326(f326(f233(x61321),x61323),f326(f326(f233(x61321),x61322),x61324)))
% 197.76/197.84 [6139]E(x61391,x61392)+E(f170(x61393,x61391,f326(f326(f151(x61393),x61392),x61394)),f326(f326(f151(x61393),x61392),f170(x61393,x61391,x61394)))
% 197.76/197.84 [6154]~P1(f326(x61542,x61543))+E(f326(f136(x61541,x61542),f326(f326(f151(x61541),x61543),x61544)),f326(f326(f151(x61541),x61543),f326(f136(x61541,x61542),x61544)))
% 197.76/197.84 [6291]~P1(f326(x62912,x62913))+E(f177(x62911,x62912,f326(f326(f151(x62911),x62913),x62914)),f326(f326(f151(x62911),x62913),f177(x62911,x62912,x62914)))
% 197.76/197.84 [6343]P26(x63431,x63432,x63433)+~P26(x63431,x63432,f326(f326(f308(f930(x63431)),x63434),x63433))
% 197.76/197.84 [6359]E(x63591,f188(f939(x63592,a927)))+E(f326(f326(f39(x63592,f939(x63593,a927)),x63591),f326(f18(f939(x63593,a927),x63592),x63594)),x63594)
% 197.76/197.84 [6360]E(x63601,f188(f939(x63602,a927)))+E(f326(f326(f40(x63602,f939(x63603,a927)),x63601),f326(f18(f939(x63603,a927),x63602),x63604)),x63604)
% 197.76/197.84 [6369]~E(x63694,f188(f939(x63692,a927)))+E(f326(f326(f253(x63691,x63692),x63693),f326(f18(f939(x63692,a927),x63691),x63694)),f188(f939(f938(x63691,x63692),a927)))
% 197.76/197.84 [6370]~E(x63703,f188(f939(x63701,a927)))+E(f326(f326(f253(x63701,x63702),x63703),f326(f18(f939(x63702,a927),x63701),x63704)),f188(f939(f938(x63701,x63702),a927)))
% 197.76/197.84 [6422]E(x64221,f2(a931))+E(f326(f326(f138(x64222),x64221),f326(f326(f151(x64222),x64223),x64224)),f326(f326(f138(x64222),f326(f326(f3(a931),x64221),f77(a931))),x64224))
% 197.76/197.84 [6443]E(x64431,f188(f939(x64432,a927)))+E(f326(f309(x64432,x64433,f326(f18(x64433,x64432),x64434)),x64431),f326(f326(f308(x64433),x64434),f188(f939(x64433,a927))))
% 197.76/197.84 [6446]E(f326(f310(x64461,x64462,f326(f18(x64462,x64461),x64463)),x64464),f188(f939(x64461,a927)))+P1(f326(f326(f328(x64462),x64463),x64464))
% 197.76/197.84 [6511]~E(x65113,f188(f939(x65111,a927)))+E(f326(f326(f39(x65111,f939(x65112,a927)),x65113),f326(f18(f939(x65112,a927),x65111),x65114)),f241(f939(x65112,a927)))
% 197.76/197.84 [6512]~E(x65123,f188(f939(x65121,a927)))+E(f326(f326(f40(x65121,f939(x65122,a927)),x65123),f326(f18(f939(x65122,a927),x65121),x65124)),f188(f939(x65122,a927)))
% 197.76/197.84 [6514]~P65(x65141)+E(f45(x65141,f326(f326(f80(x65141),x65142),x65143),f326(f326(f80(x65141),x65142),x65144)),f326(f326(f80(x65141),x65142),f45(x65141,x65143,x65144)))
% 197.76/197.84 [6684]E(f326(f310(x66841,x66842,f326(f18(x66842,x66841),x66843)),x66844),f241(f939(x66841,a927)))+~P1(f326(f326(f328(x66842),x66843),x66844))
% 197.76/197.84 [6708]~P1(f326(f326(f328(x67081),x67082),x67084))+P1(f326(f326(f328(x67081),x67082),f326(f326(f308(x67081),x67083),x67084)))
% 197.76/197.84 [6713]P1(f326(x67131,x67132))+~P1(f326(f160(x67133,x67131),f326(f326(f151(x67133),x67132),x67134)))
% 197.76/197.84 [6722]~E(x67223,f326(f326(f3(a931),f326(f189(f932(x67221)),x67222)),f77(a931)))+E(f114(x67221,f326(f326(f159(x67221,x67222),x67223),x67224)),f114(x67221,x67222))
% 197.76/197.84 [6742]~P111(x67421)+E(f326(f326(f101(f939(x67421,a927)),f326(f300(x67421),x67422)),f302(x67421,x67423,x67424)),f302(x67421,x67423,f326(f326(f232(x67421),x67422),x67424)))
% 197.76/197.84 [6743]~P111(x67431)+E(f326(f326(f101(f939(x67431,a927)),f326(f282(x67431),x67432)),f302(x67431,x67433,x67434)),f302(x67431,f326(f326(f233(x67431),x67432),x67433),x67434))
% 197.76/197.84 [6759]E(f326(f326(f101(f939(x67591,a927)),x67592),f326(f326(f308(x67591),x67593),x67594)),f326(f326(f101(f939(x67591,a927)),x67592),x67594))+P1(f326(f326(f328(x67591),x67593),x67592))
% 197.76/197.84 [6771]E(f170(x67711,x67712,f326(f326(f134(x67711),x67713),x67714)),f326(f326(f134(x67711),x67713),f170(x67711,x67712,x67714)))+P1(f326(f326(f328(x67711),x67712),f326(f172(x67711),x67713)))
% 197.76/197.84 [6776]~P85(x67761)+E(f326(f326(f80(x67761),f326(f326(f243(x67761),x67762),x67763)),f326(f326(f243(x67761),x67762),x67764)),f326(f326(f243(x67761),x67762),f326(f326(f79(a931),x67763),x67764)))
% 197.76/197.84 [6777]~P115(x67771)+E(f326(f326(f80(x67771),f326(f326(f243(x67771),x67772),x67773)),f326(f326(f243(x67771),x67772),x67774)),f326(f326(f243(x67771),x67772),f326(f326(f79(a931),x67773),x67774)))
% 197.76/197.84 [6814]~P102(x68141)+E(f326(f326(f101(x68141),f326(f326(f110(x68141),x68142),x68143)),f326(f326(f110(x68141),x68142),x68144)),f326(f326(f110(x68141),x68142),f326(f326(f101(x68141),x68143),x68144)))
% 197.76/197.84 [6815]~P115(x68151)+E(f326(f326(f79(x68151),f326(f326(f80(x68151),x68152),x68153)),f326(f326(f80(x68151),x68152),x68154)),f326(f326(f80(x68151),x68152),f326(f326(f79(x68151),x68153),x68154)))
% 197.76/197.84 [6816]~P102(x68161)+E(f326(f326(f110(x68161),f326(f326(f101(x68161),x68162),x68163)),f326(f326(f101(x68161),x68162),x68164)),f326(f326(f101(x68161),x68162),f326(f326(f110(x68161),x68163),x68164)))
% 197.76/197.84 [6817]~P111(x68171)+E(f326(f326(f233(x68171),f326(f326(f232(x68171),x68172),x68173)),f326(f326(f232(x68171),x68172),x68174)),f326(f326(f232(x68171),x68172),f326(f326(f233(x68171),x68173),x68174)))
% 197.76/197.84 [6818]~P111(x68181)+E(f326(f326(f232(x68181),f326(f326(f233(x68181),x68182),x68183)),f326(f326(f233(x68181),x68182),x68184)),f326(f326(f233(x68181),x68182),f326(f326(f232(x68181),x68183),x68184)))
% 197.76/197.84 [6849]~P65(x68491)+E(f45(x68491,f326(f326(f80(x68491),x68492),x68493),f326(f326(f80(x68491),x68494),x68493)),f326(f326(f80(x68491),f45(x68491,x68492,x68494)),x68493))
% 197.76/197.84 [6852]~E(f326(f189(f932(x68521)),x68523),f326(f189(f932(x68522)),x68524))+E(f326(f326(f154(f938(x68521,x68522),x68522),f255(x68521,x68522)),f326(f326(f181(x68521,x68522),x68523),x68524)),x68524)
% 197.76/197.84 [6853]~E(f326(f189(f932(x68531)),x68533),f326(f189(f932(x68532)),x68534))+E(f326(f326(f154(f938(x68531,x68532),x68531),f250(x68531,x68532)),f326(f326(f181(x68531,x68532),x68533),x68534)),x68533)
% 197.76/197.84 [6858]P1(f326(f160(x68581,x68582),x68583))+~P1(f326(f160(x68581,x68582),f326(f326(f151(x68581),x68584),x68583)))
% 197.76/197.84 [6859]P1(f326(f160(x68591,x68592),x68593))+~P1(f326(f160(x68591,x68592),f326(f326(f134(x68591),x68594),x68593)))
% 197.76/197.84 [6860]P1(f326(f160(x68601,x68602),x68603))+~P1(f326(f160(x68601,x68602),f326(f326(f134(x68601),x68603),x68604)))
% 197.76/197.84 [6865]~P66(x68651)+E(f45(x68651,f326(f326(f3(x68651),x68652),f45(x68651,x68653,x68654)),x68654),f45(x68651,f326(f326(f3(x68651),x68652),x68653),x68654))
% 197.76/197.84 [6866]~P65(x68661)+E(f45(x68661,f326(f326(f80(x68661),x68662),f45(x68661,x68663,x68664)),x68664),f45(x68661,f326(f326(f80(x68661),x68662),x68663),x68664))
% 197.76/197.84 [6868]~P65(x68681)+E(f45(x68681,f326(f326(f79(x68681),x68682),f45(x68681,x68683,x68684)),x68684),f45(x68681,f326(f326(f79(x68681),x68682),x68683),x68684))
% 197.76/197.84 [6948]~P111(x69481)+E(f326(f326(f101(f939(x69481,a927)),f302(x69481,x69482,x69483)),f326(f300(x69481),x69484)),f302(x69481,x69482,f326(f326(f232(x69481),x69483),x69484)))
% 197.76/197.84 [6949]~P111(x69491)+E(f326(f326(f101(f939(x69491,a927)),f302(x69491,x69492,x69493)),f326(f282(x69491),x69494)),f302(x69491,f326(f326(f233(x69491),x69492),x69494),x69493))
% 197.76/197.84 [6952]~E(f326(f189(f932(x69521)),x69523),f326(f189(f932(x69522)),x69524))+E(f326(f326(f181(x69521,x69522),f326(f168(x69521),x69523)),f326(f168(x69522),x69524)),f326(f168(f938(x69521,x69522)),f326(f326(f181(x69521,x69522),x69523),x69524)))
% 197.76/197.84 [6963]E(x69631,f326(f326(f3(a931),f326(f189(f932(x69632)),x69633)),f77(a931)))+E(f114(x69632,f326(f326(f159(x69632,x69633),x69631),x69634)),f326(f326(f159(x69632,f114(x69632,x69633)),x69631),x69634))
% 197.76/197.84 [6977]~P1(f326(f137(x69772),x69774))+P1(f326(f137(f938(x69771,x69772)),f326(f326(f181(x69771,x69772),x69773),x69774)))
% 197.76/197.84 [6978]~P1(f326(f137(x69781),x69783))+P1(f326(f137(f938(x69781,x69782)),f326(f326(f181(x69781,x69782),x69783),x69784)))
% 197.76/197.84 [7243]E(f326(f326(f36(a931),x72431),x72432),x72433)+~P1(f326(f48(x72431,x72432),f326(f326(f251(a931,a931),x72433),x72434)))
% 197.76/197.84 [7266]E(f45(a931,x72661,x72662),x72663)+~P1(f326(f48(x72661,x72662),f326(f326(f251(a931,a931),x72664),x72663)))
% 197.76/197.84 [7269]P1(f326(f137(x72691),x72692))+~P1(f326(f137(x72693),f326(f326(f154(x72691,x72693),x72694),x72692)))
% 197.76/197.84 [7277]~P26(x72771,x72772,f326(f326(f308(f930(x72771)),x72773),x72774))+P26(x72771,x72772,f326(f326(f308(f930(x72771)),x72773),f188(f939(f930(x72771),a927))))
% 197.76/197.84 [7354]E(f170(x73541,x73542,f326(f326(f134(x73541),x73543),x73544)),f326(f326(f134(x73541),f170(x73541,x73542,x73543)),x73544))+~P1(f326(f326(f328(x73541),x73542),f326(f172(x73541),x73543)))
% 197.76/197.84 [7447]~P66(x74471)+E(f45(x74471,f326(f326(f3(x74471),f45(x74471,x74472,x74473)),x74474),x74473),f45(x74471,f326(f326(f3(x74471),x74472),x74474),x74473))
% 197.76/197.84 [7450]~P65(x74501)+E(f45(x74501,f326(f326(f80(x74501),f45(x74501,x74502,x74503)),x74504),x74503),f45(x74501,f326(f326(f80(x74501),x74502),x74504),x74503))
% 197.76/197.84 [7451]~P65(x74511)+E(f45(x74511,f326(f326(f79(x74511),f45(x74511,x74512,x74513)),x74514),x74513),f45(x74511,f326(f326(f79(x74511),x74512),x74514),x74513))
% 197.76/197.84 [7652]~E(x76521,f326(f326(f151(x76522),x76523),x76524))+~P1(f326(f326(f234(a931),f326(f189(f932(x76522)),x76521)),f326(f189(f932(x76522)),x76524)))
% 197.76/197.84 [7860]P27(x78601,x78602,x78603,f326(f172(x78601),x78604))+~P1(f326(f137(x78602),f326(f326(f154(x78601,x78602),x78603),x78604)))
% 197.76/197.84 [7935]~P1(f326(f326(f234(f939(x79351,a927)),x79352),x79354))+P1(f326(f326(f234(f939(x79351,a927)),x79352),f326(f326(f308(x79351),x79353),x79354)))
% 197.76/197.84 [7969]~P66(x79691)+E(f45(x79691,f326(f326(f3(x79691),f45(x79691,x79692,x79693)),f45(x79691,x79694,x79693)),x79693),f45(x79691,f326(f326(f3(x79691),x79692),x79694),x79693))
% 197.76/197.84 [7970]~P65(x79701)+E(f45(x79701,f326(f326(f80(x79701),f45(x79701,x79702,x79703)),f45(x79701,x79704,x79703)),x79703),f45(x79701,f326(f326(f80(x79701),x79702),x79704),x79703))
% 197.76/197.84 [7971]~P65(x79711)+E(f45(x79711,f326(f326(f79(x79711),f45(x79711,x79712,x79713)),f45(x79711,x79714,x79713)),x79713),f45(x79711,f326(f326(f79(x79711),x79712),x79714),x79713))
% 197.76/197.84 [8073]~E(f326(x80734,f445(x80734,x80733,x80731,x80732)),f188(f939(x80732,a927)))+E(f326(f326(f40(x80731,f939(x80732,a927)),x80733),x80734),f188(f939(x80732,a927)))
% 197.76/197.84 [8074]~E(f326(x80744,f420(x80744,x80743,x80741,x80742)),f241(f939(x80742,a927)))+E(f326(f326(f39(x80741,f939(x80742,a927)),x80743),x80744),f241(f939(x80742,a927)))
% 197.76/197.84 [8075]~E(f326(x80754,f421(x80754,x80753,x80752,x80751)),f241(f939(x80752,a927)))+E(f326(f326(f39(x80751,f939(x80752,a927)),x80753),x80754),f241(f939(x80752,a927)))
% 197.76/197.84 [8076]~E(f326(x80764,f446(x80764,x80763,x80762,x80761)),f188(f939(x80762,a927)))+E(f326(f326(f40(x80761,f939(x80762,a927)),x80763),x80764),f188(f939(x80762,a927)))
% 197.76/197.84 [8476]P1(f326(x84761,x84762))+~P1(f326(f326(f328(x84763),x84762),f326(f326(f101(f939(x84763,a927)),x84764),f326(f261(x84763),x84761))))
% 197.76/197.84 [8513]~P1(f326(f326(f234(f939(x85131,a927)),x85133),x85134))+P1(f326(f326(f234(f939(x85131,a927)),f326(f326(f308(x85131),x85132),x85133)),f326(f326(f308(x85131),x85132),x85134)))
% 197.76/197.84 [8691]P1(f326(x86912,x86913))+E(f326(f326(f138(x86911),f326(f189(f932(x86911)),f177(x86911,x86912,f326(f326(f151(x86911),x86913),x86914)))),f326(f326(f151(x86911),x86913),x86914)),f326(f326(f151(x86911),x86913),x86914))
% 197.76/197.84 [8797]~P1(f326(f326(f235(a931),f326(x87974,x87972)),f326(x87974,x87973)))+P1(f326(f326(f328(f938(x87971,x87971)),f326(f326(f251(x87971,x87971),x87972),x87973)),f326(f326(f287(a931,x87971),a239),x87974)))
% 197.76/197.84 [8893]~P1(f326(x88932,f752(x88934,x88932,x88933,x88931)))+E(f177(x88931,x88932,f326(f326(f134(x88931),x88933),x88934)),f326(f326(f134(x88931),x88933),f177(x88931,x88932,x88934)))
% 197.76/197.84 [8970]P27(f932(x89701),f932(x89702),f326(f154(x89701,x89702),x89703),x89704)+~P27(x89701,x89702,x89703,f37(f939(x89701,a927),f326(f309(f932(x89701),f939(x89701,a927),f172(x89701)),x89704)))
% 197.76/197.84 [9045]~P1(f326(x90452,x90453))+E(f326(f326(f138(x90451),f326(f189(f932(x90451)),f177(x90451,x90452,f326(f326(f151(x90451),x90453),x90454)))),f326(f326(f151(x90451),x90453),x90454)),f326(f326(f138(x90451),f326(f189(f932(x90451)),f177(x90451,x90452,x90454))),x90454))
% 197.76/197.84 [9087]~E(x90872,x90873)+E(f326(f136(x90871,f326(f326(f10(a927,a927,x90871),a321),f326(a323,x90872))),f326(f326(f151(x90871),x90873),x90874)),f326(f136(x90871,f326(f326(f10(a927,a927,x90871),a321),f326(a323,x90872))),x90874))
% 197.76/197.84 [9097]E(f326(f326(f40(x90971,f939(x90972,a927)),x90973),x90974),f188(f939(x90972,a927)))+P1(f326(f326(f328(x90971),f445(x90974,x90973,x90971,x90972)),x90973))
% 197.76/197.84 [9098]E(f326(f326(f39(x90981,f939(x90982,a927)),x90983),x90984),f241(f939(x90982,a927)))+P1(f326(f326(f328(x90981),f420(x90984,x90983,x90981,x90982)),x90983))
% 197.76/197.84 [9099]E(f326(f326(f39(x90991,f939(x90992,a927)),x90993),x90994),f241(f939(x90992,a927)))+P1(f326(f326(f328(x90991),f421(x90994,x90993,x90992,x90991)),x90993))
% 197.76/197.84 [9100]E(f326(f326(f40(x91001,f939(x91002,a927)),x91003),x91004),f188(f939(x91002,a927)))+P1(f326(f326(f328(x91001),f446(x91004,x91003,x91002,x91001)),x91003))
% 197.76/197.84 [9138]P1(f326(f326(f235(a931),f326(x91381,x91382)),f326(x91381,x91383)))+~P1(f326(f326(f328(f938(x91384,x91384)),f326(f326(f251(x91384,x91384),x91382),x91383)),f326(f326(f287(a931,x91384),a239),x91381)))
% 197.76/197.84 [9164]E(f177(x91641,x91642,f326(f326(f134(x91641),x91643),x91644)),f326(f326(f134(x91641),x91643),f177(x91641,x91642,x91644)))+P1(f326(f326(f328(x91641),f752(x91644,x91642,x91643,x91641)),f326(f172(x91641),x91643)))
% 197.76/197.84 [9216]~P28(x92161,x92162,x92163,f241(f939(x92161,a927)),f241(f939(x92162,a927)))+E(f326(f309(x92161,x92162,x92163),f326(f78(f939(x92161,a927)),x92164)),f326(f78(f939(x92162,a927)),f326(f309(x92161,x92162,x92163),x92164)))
% 197.76/197.84 [9319]P1(f326(f326(f328(x93191),f505(x93192,x93193,x93194,x93191)),x93193))+~P1(f326(f326(f328(f939(x93191,a927)),x93194),f326(f326(f60(x93191),x93193),x93192)))
% 197.76/197.84 [9322]E(x93221,x93222)+~P1(f326(f326(f328(f938(x93223,x93223)),f326(f326(f251(x93223,x93223),x93221),x93222)),f326(f326(f183(f938(x93223,x93223),a927),f2(a931)),x93224)))
% 197.76/197.84 [9403]E(f326(f284(x94031,x94031,x94032),f326(f326(f308(x94031),f505(x94032,x94033,x94034,x94031)),f188(f939(x94031,a927)))),x94034)+~P1(f326(f326(f328(f939(x94031,a927)),x94034),f326(f326(f60(x94031),x94033),x94032)))
% 197.76/197.84 [9414]~P1(f326(f326(f328(f938(x94141,x94141)),f326(f326(f251(x94141,x94141),x94143),x94142)),f306(x94141,x94144)))+P1(f326(f326(f328(f938(x94141,x94141)),f326(f326(f251(x94141,x94141),x94142),x94143)),f306(x94141,f326(f285(x94141,x94141),x94144))))
% 197.76/197.84 [9429]~P65(x94291)+E(f326(f326(f79(x94291),f326(f326(f79(x94291),f326(f326(f80(x94291),x94292),f326(f326(f36(x94291),x94293),x94292))),f45(x94291,x94293,x94292))),x94294),f326(f326(f79(x94291),x94293),x94294))
% 197.76/197.84 [9440]~P1(f326(f326(f328(x94401),x94403),x94404))+P1(f326(f326(f328(f939(x94401,a927)),f326(f284(x94401,x94401,x94402),f326(f326(f308(x94401),x94403),f188(f939(x94401,a927))))),f326(f326(f60(x94401),x94404),x94402)))
% 197.76/197.84 [9452]P1(f326(f326(f328(f938(x94521,x94521)),f326(f326(f251(x94521,x94521),x94522),x94523)),f306(x94521,x94524)))+~P1(f326(f326(f328(f938(x94521,x94521)),f326(f326(f251(x94521,x94521),x94523),x94522)),f306(x94521,f326(f285(x94521,x94521),x94524))))
% 197.76/197.84 [9538]E(f326(f326(f159(x95381,f326(f168(x95381),x95382)),f326(f326(f3(a931),f326(f326(f3(a931),f326(f189(f932(x95381)),x95382)),x95383)),f77(a931))),x95384),f326(f168(x95381),f326(f326(f159(x95381,x95382),x95383),x95384)))+~P1(f326(f326(f235(a931),x95383),f326(f189(f932(x95381)),x95382)))
% 197.76/197.84 [9541]~P1(f326(x95412,f747(x95414,x95412,x95413,x95411)))+E(f326(f326(f138(x95411),f326(f189(f932(x95411)),f177(x95411,x95412,f326(f326(f134(x95411),x95413),x95414)))),f326(f326(f134(x95411),x95413),x95414)),f326(f326(f138(x95411),f326(f189(f932(x95411)),f177(x95411,x95412,x95414))),x95414))
% 197.76/197.84 [9585]~P27(x95852,x95851,x95853,f241(f939(x95852,a927)))+P1(f326(f326(f234(f939(x95851,a927)),f326(f309(x95852,x95851,x95853),f326(f78(f939(x95852,a927)),x95854))),f326(f78(f939(x95851,a927)),f326(f309(x95852,x95851,x95853),x95854))))
% 197.76/197.84 [9597]~P7(x95971)+E(f326(f142(x95971,x95972,f326(f9(x95972,x95971,x95971),f326(f326(f10(x95971,f939(x95971,x95971),x95972),f101(x95971)),x95973)),f241(x95971)),x95974),f326(f326(f39(x95972,x95971),f326(f172(x95972),x95974)),x95973))
% 197.76/197.84 [9598]~P7(x95981)+E(f326(f142(x95981,x95982,f326(f9(x95982,x95981,x95981),f326(f326(f10(x95981,f939(x95981,x95981),x95982),f110(x95981)),x95983)),f188(x95981)),x95984),f326(f326(f40(x95982,x95981),f326(f172(x95982),x95984)),x95983))
% 197.76/197.84 [9608]E(f326(f326(f138(x96081),f326(f189(f932(x96081)),f177(x96081,x96082,f326(f326(f134(x96081),x96083),x96084)))),f326(f326(f134(x96081),x96083),x96084)),f326(f326(f138(x96081),f326(f189(f932(x96081)),f177(x96081,x96082,x96084))),x96084))+P1(f326(f326(f328(x96081),f747(x96084,x96082,x96083,x96081)),f326(f172(x96081),x96083)))
% 197.76/197.84 [9678]~P1(f326(f326(f328(f938(f932(x96784),f932(x96784))),f326(f326(f251(f932(x96784),f932(x96784)),x96783),x96782)),f157(x96784,x96781)))+P1(f326(f326(f235(a931),f681(x96781,x96782,x96783,x96784)),f326(f189(f932(x96784)),x96783)))
% 197.76/197.84 [9679]~P65(x96791)+E(f326(f326(f79(x96791),f326(f326(f79(x96791),f326(f326(f80(x96791),f326(f326(f36(x96791),x96792),x96793)),x96793)),f45(x96791,x96792,x96793))),x96794),f326(f326(f79(x96791),x96792),x96794))
% 197.76/197.84 [9709]~P1(f326(f326(f328(f938(f932(x97091),f932(x97091))),f326(f326(f251(f932(x97091),f932(x97091)),x97092),x97093)),f326(f285(f932(x97091),f932(x97091)),f157(x97091,x97094))))+P1(f326(f326(f328(f938(f932(x97091),f932(x97091))),f326(f326(f251(f932(x97091),f932(x97091)),x97092),x97093)),f157(x97091,f326(f285(x97091,x97091),x97094))))
% 197.76/197.84 [9710]P1(f326(f326(f328(f938(f932(x97101),f932(x97101))),f326(f326(f251(f932(x97101),f932(x97101)),x97102),x97103)),f326(f285(f932(x97101),f932(x97101)),f157(x97101,x97104))))+~P1(f326(f326(f328(f938(f932(x97101),f932(x97101))),f326(f326(f251(f932(x97101),f932(x97101)),x97102),x97103)),f157(x97101,f326(f285(x97101,x97101),x97104))))
% 197.76/197.84 [9749]~P1(f326(f326(f328(x97491),x97493),f326(f263(x97491,x97492),x97494)))+P1(f326(f326(f328(f938(x97491,x97492)),f326(f326(f251(x97491,x97492),x97493),f584(x97494,x97492,x97493,x97491))),x97494))
% 197.76/197.84 [9750]~P1(f326(f326(f328(x97501),x97503),f326(f263(x97501,x97502),x97504)))+P1(f326(f326(f328(f938(x97501,x97502)),f326(f326(f251(x97501,x97502),x97503),f585(x97504,x97502,x97503,x97501))),x97504))
% 197.76/197.84 [9909]~P1(f326(f326(f328(f938(x99091,x99091)),f326(f326(f251(x99091,x99091),x99092),x99094)),f326(f326(f288(x99091,x99091,x99091),x99093),f306(x99091,x99093))))+P1(f326(f326(f328(f938(x99091,x99091)),f326(f326(f251(x99091,x99091),x99092),f645(x99093,x99094,x99092,x99091))),x99093))
% 197.76/197.84 [10067]P13(x100671,x100672,x100673,x100674)+P1(f326(f326(f328(f938(x100671,x100671)),f326(f326(f251(x100671,x100671),f853(x100672,x100674,x100673,x100671)),f852(x100672,x100674,x100673,x100671))),x100673))
% 197.76/197.84 [10074]~P1(f326(f326(f328(f938(x100742,x100741)),x100744),f326(f285(x100741,x100742),x100743)))+P1(f326(f326(f328(f938(x100741,x100742)),f326(f326(f251(x100741,x100742),f654(x100743,x100744,x100741,x100742)),f653(x100743,x100744,x100741,x100742))),x100743))
% 197.76/197.84 [10098]~P1(f326(f326(f328(f938(f932(x100981),f932(x100981))),f326(f326(f251(f932(x100981),f932(x100981)),x100984),x100983)),f157(x100981,x100982)))+P1(f326(f326(f328(f938(x100981,x100981)),f326(f326(f251(x100981,x100981),f698(x100982,x100983,x100984,x100981)),f699(x100982,x100983,x100984,x100981))),x100982))
% 197.76/197.84 [10189]~P1(f326(f326(f328(f938(f932(x101891),f932(x101891))),f326(f326(f251(f932(x101891),f932(x101891)),x101892),x101894)),f157(x101891,x101893)))+P1(f326(f326(f328(f938(x101891,x101891)),f326(f326(f251(x101891,x101891),f326(f326(f164(x101891),x101892),f681(x101893,x101894,x101892,x101891))),f682(x101893,x101894,x101892,x101891))),x101893))
% 197.76/197.84 [10211]~P1(f326(f61(x102112),x102114))+E(f326(f326(f326(f65(f939(x102111,a927),x102112,f110(f939(x102111,a927))),f326(f326(f9(x102112,f939(x102111,a927),f939(x102111,a927)),f326(f326(f10(x102111,f939(f939(x102111,a927),f939(x102111,a927)),x102112),f308(x102111)),x102113)),f188(f939(x102111,a927)))),f188(f939(x102111,a927))),x102114),f326(f309(x102112,x102111,x102113),x102114))
% 197.76/197.84 [10321]~P27(x103211,x103212,x103213,f241(f939(x103211,a927)))+P1(f326(f326(f234(f939(x103211,a927)),f326(f310(x103211,x103212,x103213),f326(f326(f308(x103212),x103214),f188(f939(x103212,a927))))),f326(f326(f308(x103211),f84(x103211,f326(f326(f9(x103211,x103212,a927),f326(f326(f10(x103212,f939(x103212,a927),x103211),a323),x103213)),x103214))),f188(f939(x103211,a927)))))
% 197.76/197.84 [5876]~E(f326(f326(f134(x58761),x58762),x58764),x58763)+E(f326(f326(f175(x58761),f326(f189(f932(x58761)),x58762)),x58763),x58762)
% 197.76/197.84 [5877]~E(f326(f326(f134(x58772),x58773),x58771),x58774)+E(x58771,f326(f326(f138(x58772),f326(f189(f932(x58772)),x58773)),x58774))
% 197.76/197.84 [5888]~E(x58884,f2(a931))+E(f326(f326(f164(x58881),f326(f326(f151(x58881),x58882),x58883)),x58884),x58882)
% 197.76/197.84 [6435]~P115(x64351)+E(f326(f326(f243(x64351),f326(f326(f243(x64351),x64352),x64353)),x64354),f326(f326(f243(x64351),x64352),f326(f326(f80(a931),x64353),x64354)))
% 197.76/197.84 [6436]~P85(x64361)+E(f326(f326(f243(x64361),f326(f326(f243(x64361),x64362),x64363)),x64364),f326(f326(f243(x64361),x64362),f326(f326(f80(a931),x64363),x64364)))
% 197.76/197.84 [6444]E(x64441,f2(a931))+E(f326(f326(f164(x64442),f326(f326(f151(x64442),x64443),x64444)),x64441),f326(f326(f164(x64442),x64444),f326(f326(f3(a931),x64441),f77(a931))))
% 197.76/197.84 [6470]~P126(x64701)+E(f326(f326(f290(x64701),f326(f326(f80(x64701),x64702),x64703)),x64704),f326(f326(f80(x64701),x64702),f326(f326(f290(x64701),x64703),x64704)))
% 197.76/197.84 [6472]~P3(x64721)+E(f326(f326(f110(x64721),f326(f326(f110(x64721),x64722),x64723)),x64724),f326(f326(f110(x64721),x64722),f326(f326(f110(x64721),x64723),x64724)))
% 197.76/197.84 [6474]~P104(x64741)+E(f326(f326(f110(x64741),f326(f326(f110(x64741),x64742),x64743)),x64744),f326(f326(f110(x64741),x64742),f326(f326(f110(x64741),x64743),x64744)))
% 197.76/197.84 [6475]~P73(x64751)+E(f326(f326(f80(x64751),f326(f326(f80(x64751),x64752),x64753)),x64754),f326(f326(f80(x64751),x64752),f326(f326(f80(x64751),x64753),x64754)))
% 197.76/197.84 [6476]~P115(x64761)+E(f326(f326(f80(x64761),f326(f326(f80(x64761),x64762),x64763)),x64764),f326(f326(f80(x64761),x64762),f326(f326(f80(x64761),x64763),x64764)))
% 197.76/197.84 [6478]~P115(x64781)+E(f326(f326(f79(x64781),f326(f326(f79(x64781),x64782),x64783)),x64784),f326(f326(f79(x64781),x64782),f326(f326(f79(x64781),x64783),x64784)))
% 197.76/197.84 [6479]~P74(x64791)+E(f326(f326(f79(x64791),f326(f326(f79(x64791),x64792),x64793)),x64794),f326(f326(f79(x64791),x64792),f326(f326(f79(x64791),x64793),x64794)))
% 197.76/197.84 [6480]~P3(x64801)+E(f326(f326(f101(x64801),f326(f326(f101(x64801),x64802),x64803)),x64804),f326(f326(f101(x64801),x64802),f326(f326(f101(x64801),x64803),x64804)))
% 197.76/197.84 [6482]~P105(x64821)+E(f326(f326(f101(x64821),f326(f326(f101(x64821),x64822),x64823)),x64824),f326(f326(f101(x64821),x64822),f326(f326(f101(x64821),x64823),x64824)))
% 197.76/197.84 [6484]~P111(x64841)+E(f326(f326(f232(x64841),f326(f326(f232(x64841),x64842),x64843)),x64844),f326(f326(f232(x64841),x64842),f326(f326(f232(x64841),x64843),x64844)))
% 197.76/197.84 [6486]~P111(x64861)+E(f326(f326(f233(x64861),f326(f326(f233(x64861),x64862),x64863)),x64864),f326(f326(f233(x64861),x64862),f326(f326(f233(x64861),x64863),x64864)))
% 197.76/197.84 [6495]~P65(x64951)+E(f45(x64951,f326(f326(f79(x64951),x64952),f326(f326(f80(x64951),x64953),x64954)),x64954),f45(x64951,x64952,x64954))
% 197.76/197.84 [6496]~P65(x64961)+E(f45(x64961,f326(f326(f79(x64961),x64962),f326(f326(f80(x64961),x64963),x64964)),x64963),f45(x64961,x64962,x64963))
% 197.76/197.84 [6632]E(f326(f326(f164(x66321),f326(f326(f175(x66321),x66322),x66323)),x66324),f326(f326(f164(x66321),x66323),x66324))+~P1(f326(f326(f235(a931),x66324),x66322))
% 197.76/197.84 [6810]~E(x68102,x68104)+P1(f326(f326(f172(x68101),f326(f326(f151(x68101),x68102),x68103)),x68104))
% 197.76/197.84 [6812]~P115(x68121)+E(f326(f326(f80(x68121),f326(f326(f80(x68121),x68122),x68123)),x68124),f326(f326(f80(x68121),f326(f326(f80(x68121),x68122),x68124)),x68123))
% 197.76/197.84 [6813]~P115(x68131)+E(f326(f326(f79(x68131),f326(f326(f79(x68131),x68132),x68133)),x68134),f326(f326(f79(x68131),f326(f326(f79(x68131),x68132),x68134)),x68133))
% 197.76/197.84 [6871]~P148(x68712)+E(f326(f326(f8(x68711,x68712),f326(f18(x68712,x68711),x68713)),x68714),f326(f326(f80(x68712),f326(f100(x68712),f326(f35(x68711),x68714))),x68713))
% 197.76/197.84 [7041]E(f326(f326(f101(f939(x70411,a927)),f326(f326(f308(x70411),x70412),x70413)),x70414),f326(f326(f101(f939(x70411,a927)),x70413),x70414))+P1(f326(f326(f328(x70411),x70412),x70414))
% 197.76/197.84 [7110]~P102(x71101)+E(f326(f326(f101(x71101),f326(f326(f110(x71101),x71102),x71103)),f326(f326(f110(x71101),x71104),x71103)),f326(f326(f110(x71101),f326(f326(f101(x71101),x71102),x71104)),x71103))
% 197.76/197.84 [7111]~P83(x71111)+E(f326(f326(f232(x71111),f326(f326(f3(x71111),x71112),x71113)),f326(f326(f3(x71111),x71114),x71113)),f326(f326(f3(x71111),f326(f326(f232(x71111),x71112),x71114)),x71113))
% 197.76/197.84 [7112]~P83(x71121)+E(f326(f326(f233(x71121),f326(f326(f3(x71121),x71122),x71123)),f326(f326(f3(x71121),x71124),x71123)),f326(f326(f3(x71121),f326(f326(f233(x71121),x71122),x71124)),x71123))
% 197.76/197.84 [7114]~P116(x71141)+E(f326(f326(f79(x71141),f326(f326(f80(x71141),x71142),x71143)),f326(f326(f80(x71141),x71144),x71143)),f326(f326(f80(x71141),f326(f326(f79(x71141),x71142),x71144)),x71143))
% 197.76/197.84 [7115]~P87(x71151)+E(f326(f326(f232(x71151),f326(f326(f79(x71151),x71152),x71153)),f326(f326(f79(x71151),x71154),x71153)),f326(f326(f79(x71151),f326(f326(f232(x71151),x71152),x71154)),x71153))
% 197.76/197.84 [7116]~P87(x71161)+E(f326(f326(f233(x71161),f326(f326(f79(x71161),x71162),x71163)),f326(f326(f79(x71161),x71164),x71163)),f326(f326(f79(x71161),f326(f326(f233(x71161),x71162),x71164)),x71163))
% 197.76/197.84 [7117]~P102(x71171)+E(f326(f326(f110(x71171),f326(f326(f101(x71171),x71172),x71173)),f326(f326(f101(x71171),x71174),x71173)),f326(f326(f101(x71171),f326(f326(f110(x71171),x71172),x71174)),x71173))
% 197.76/197.84 [7118]~P126(x71181)+E(f326(f326(f3(x71181),f326(f326(f290(x71181),x71182),x71183)),f326(f326(f290(x71181),x71184),x71183)),f326(f326(f290(x71181),f326(f326(f3(x71181),x71182),x71184)),x71183))
% 197.76/197.84 [7119]~P126(x71191)+E(f326(f326(f79(x71191),f326(f326(f290(x71191),x71192),x71193)),f326(f326(f290(x71191),x71194),x71193)),f326(f326(f290(x71191),f326(f326(f79(x71191),x71192),x71194)),x71193))
% 197.76/197.84 [7120]~P75(x71201)+E(f326(f326(f80(x71201),f326(f326(f243(x71201),x71202),x71203)),f326(f326(f243(x71201),x71204),x71203)),f326(f326(f243(x71201),f326(f326(f80(x71201),x71202),x71204)),x71203))
% 197.76/197.84 [7121]~P115(x71211)+E(f326(f326(f80(x71211),f326(f326(f243(x71211),x71212),x71213)),f326(f326(f243(x71211),x71214),x71213)),f326(f326(f243(x71211),f326(f326(f80(x71211),x71212),x71214)),x71213))
% 197.76/197.84 [7122]~P68(x71221)+E(f326(f326(f290(x71221),f326(f326(f243(x71221),x71222),x71223)),f326(f326(f243(x71221),x71224),x71223)),f326(f326(f243(x71221),f326(f326(f290(x71221),x71222),x71224)),x71223))
% 197.76/197.84 [7123]~P111(x71231)+E(f326(f326(f233(x71231),f326(f326(f232(x71231),x71232),x71233)),f326(f326(f232(x71231),x71234),x71233)),f326(f326(f232(x71231),f326(f326(f233(x71231),x71232),x71234)),x71233))
% 197.76/197.84 [7124]~P111(x71241)+E(f326(f326(f232(x71241),f326(f326(f233(x71241),x71242),x71243)),f326(f326(f233(x71241),x71244),x71243)),f326(f326(f233(x71241),f326(f326(f232(x71241),x71242),x71244)),x71243))
% 197.76/197.84 [7125]~P115(x71251)+E(f326(f326(f79(x71251),f326(f326(f80(x71251),x71252),x71253)),f326(f326(f80(x71251),x71254),x71253)),f326(f326(f80(x71251),f326(f326(f79(x71251),x71252),x71254)),x71253))
% 197.76/197.84 [7157]E(f326(f326(f159(x71571,x71572),x71573),x71574),x71572)+~P1(f326(f326(f234(a931),f326(f189(f932(x71571)),x71572)),x71573))
% 197.76/197.84 [7184]~P1(f326(x71843,x71844))+P1(f326(f326(f326(f110(f939(x71841,a927)),x71842),x71843),x71844))
% 197.76/197.84 [7186]~P1(f326(x71862,x71864))+P1(f326(f326(f326(f110(f939(x71861,a927)),x71862),x71863),x71864))
% 197.76/197.84 [7204]E(f326(f326(f164(x72041),f326(f326(f134(x72041),x72042),x72043)),x72044),f326(f326(f164(x72041),x72042),x72044))+~P1(f326(f326(f235(a931),x72044),f326(f189(f932(x72041)),x72042)))
% 197.76/197.84 [7215]E(f326(f326(f3(f939(x72151,a927)),f326(f326(f308(x72151),x72152),x72153)),x72154),f326(f326(f3(f939(x72151,a927)),x72153),x72154))+~P1(f326(f326(f328(x72151),x72152),x72154))
% 197.76/197.84 [7256]~E(f139(a931,f326(f301(a931,x72561),x72562)),f326(f326(f151(a931),x72564),x72563))+E(f139(a931,f326(f301(a931,f326(f326(f79(a931),x72561),f77(a931))),x72562)),x72563)
% 197.76/197.84 [7278]~P1(f326(f326(f172(x72781),x72783),x72784))+P1(f326(f326(f172(x72781),f326(f326(f151(x72781),x72782),x72783)),x72784))
% 197.76/197.84 [7329]E(x73291,f2(a931))+E(f326(f326(f151(x73292),x73293),f326(f326(f175(x73292),f326(f326(f3(a931),x73291),f77(a931))),x73294)),f326(f326(f175(x73292),x73291),f326(f326(f151(x73292),x73293),x73294)))
% 197.76/197.84 [7431]E(f326(f326(f164(x74311),x74312),f326(f326(f3(a931),x74313),f326(f189(f932(x74311)),x74314))),f326(f326(f164(x74311),f326(f326(f134(x74311),x74314),x74312)),x74313))+P1(f326(f326(f235(a931),x74313),f326(f189(f932(x74311)),x74314)))
% 197.76/197.84 [7461]E(f326(f326(f101(f939(x74611,a927)),x74612),f326(f326(f308(x74611),x74613),x74614)),f326(f326(f308(x74611),x74613),f326(f326(f101(f939(x74611,a927)),x74612),x74614)))+~P1(f326(f326(f328(x74611),x74613),x74612))
% 197.76/197.84 [7499]E(f326(f326(f164(x74991),f326(f326(f159(x74991,x74992),x74993),x74994)),x74993),x74994)+~P1(f326(f326(f235(a931),x74993),f326(f189(f932(x74991)),x74992)))
% 197.76/197.84 [7521]E(x75211,f188(f939(x75212,a927)))+E(f326(f309(f938(x75213,x75212),x75213,f250(x75213,x75212)),f326(f326(f253(x75213,x75212),x75214),f326(f18(f939(x75212,a927),x75213),x75211))),x75214)
% 197.76/197.84 [7522]E(x75221,f188(f939(x75222,a927)))+E(f326(f309(f938(x75222,x75223),x75223,f255(x75222,x75223)),f326(f326(f253(x75222,x75223),x75221),f326(f18(f939(x75223,a927),x75222),x75224))),x75224)
% 197.76/197.84 [7601]E(f326(f326(f3(f939(x76011,a927)),f326(f326(f308(x76011),x76012),x76013)),x76014),f326(f326(f308(x76011),x76012),f326(f326(f3(f939(x76011,a927)),x76013),x76014)))+P1(f326(f326(f328(x76011),x76012),x76014))
% 197.76/197.84 [7638]~E(x76384,f188(f939(x76382,a927)))+E(f326(f309(f938(x76381,x76382),x76381,f250(x76381,x76382)),f326(f326(f253(x76381,x76382),x76383),f326(f18(f939(x76382,a927),x76381),x76384))),f188(f939(x76381,a927)))
% 197.76/197.84 [7639]~E(x76393,f188(f939(x76391,a927)))+E(f326(f309(f938(x76391,x76392),x76392,f255(x76391,x76392)),f326(f326(f253(x76391,x76392),x76393),f326(f18(f939(x76392,a927),x76391),x76394))),f188(f939(x76392,a927)))
% 197.76/197.84 [7693]~P1(f326(f326(f328(x76931),x76932),x76934))+P1(f326(f326(f328(x76931),x76932),f326(f326(f110(f939(x76931,a927)),x76933),x76934)))
% 197.76/197.84 [7696]~P1(f326(f326(f328(x76961),x76962),x76963))+P1(f326(f326(f328(x76961),x76962),f326(f326(f110(f939(x76961,a927)),x76963),x76964)))
% 197.76/197.84 [7717]E(f326(f326(f101(f939(x77171,a927)),f326(f326(f308(x77171),x77172),x77173)),x77174),f326(f326(f308(x77171),x77172),f326(f326(f101(f939(x77171,a927)),x77173),x77174)))+~P1(f326(f326(f328(x77171),x77172),x77174))
% 197.76/197.84 [7991]P1(f326(x79911,x79912))+~P1(f326(f326(f326(f101(f939(x79913,a927)),x79914),x79911),x79912))
% 197.76/197.84 [7992]P1(f326(x79921,x79922))+~P1(f326(f326(f326(f101(f939(x79923,a927)),x79921),x79924),x79922))
% 197.76/197.84 [7993]E(f326(f326(f8(x79931,a931),x79932),f326(f326(f3(f939(x79931,a927)),x79933),f326(f326(f308(x79931),x79934),f188(f939(x79931,a927))))),f326(f326(f8(x79931,a931),x79932),x79933))+P1(f326(f326(f328(x79931),x79934),x79933))
% 197.76/197.84 [7998]~P79(x79981)+E(f326(f165(x79981),f326(f326(f154(a931,x79981),x79982),f139(a931,f326(f301(a931,x79983),x79984)))),f326(f326(f8(a931,x79981),x79982),f326(f172(a931),f139(a931,f326(f301(a931,x79983),x79984)))))
% 197.76/197.84 [7999]~P79(x79991)+E(f326(f326(f8(a931,x79991),x79992),f326(f172(a931),f139(a931,f326(f301(a931,x79993),x79994)))),f326(f165(x79991),f326(f326(f154(a931,x79991),x79992),f139(a931,f326(f301(a931,x79993),x79994)))))
% 197.76/197.84 [8117]~E(x81173,x81174)+P1(f326(f62(x81171,x81172,f326(f326(f308(x81171),x81173),f188(f939(x81171,a927)))),x81174))
% 197.76/197.84 [8215]P1(f326(f326(f328(x82151),x82152),f326(f172(x82151),x82153)))+~P1(f326(f326(f328(x82151),x82152),f326(f172(x82151),f326(f326(f175(x82151),x82154),x82153))))
% 197.76/197.84 [8216]P1(f326(f326(f328(x82161),x82162),f326(f172(x82161),x82163)))+~P1(f326(f326(f328(x82161),x82162),f326(f172(x82161),f326(f326(f138(x82161),x82164),x82163))))
% 197.76/197.84 [8289]P1(f326(f326(f328(x82891),x82892),x82893))+~P1(f326(f326(f328(x82891),x82892),f326(f326(f3(f939(x82891,a927)),x82893),x82894)))
% 197.76/197.84 [8291]P1(f326(f326(f328(x82911),x82912),x82913))+~P1(f326(f326(f328(x82911),x82912),f326(f326(f101(f939(x82911,a927)),x82914),x82913)))
% 197.76/197.84 [8294]P1(f326(f326(f328(x82941),x82942),x82943))+~P1(f326(f326(f328(x82941),x82942),f326(f326(f101(f939(x82941,a927)),x82943),x82944)))
% 197.76/197.84 [8309]E(f326(f326(f134(x83091),f326(f326(f175(x83091),x83092),x83093)),f326(f326(f151(x83091),x83094),f326(f326(f138(x83091),f326(a112,x83092)),x83093))),f326(f326(f159(x83091,x83093),x83092),x83094))+~P1(f326(f326(f235(a931),x83092),f326(f189(f932(x83091)),x83093)))
% 197.76/197.84 [8332]P1(f326(f326(f328(x83321),x83322),x83323))+~P1(f326(f326(f234(f939(x83321,a927)),f326(f326(f308(x83321),x83322),x83324)),x83323))
% 197.76/197.84 [8369]~P1(f326(f326(f328(x83691),x83692),x83693))+~P1(f326(f326(f328(x83691),x83692),f326(f326(f3(f939(x83691,a927)),x83694),x83693)))
% 197.76/197.84 [8404]~P1(f326(f326(f235(a931),x84044),f326(f189(f932(x84041)),x84043)))+P1(f326(f326(f328(x84041),x84042),f326(f172(x84041),f326(f326(f159(x84041,x84043),x84044),x84042))))
% 197.76/197.84 [8455]E(f326(f326(f164(x84551),f326(f326(f138(x84551),x84552),x84553)),x84554),f326(f326(f164(x84551),x84553),f326(f326(f79(a931),x84552),x84554)))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x84552),x84554)),f326(f189(f932(x84551)),x84553)))
% 197.76/197.84 [8464]~P148(x84642)+E(f326(f326(f8(x84641,x84642),f326(f326(f10(a931,x84642,x84641),f100(x84642)),x84643)),x84644),f326(f100(x84642),f326(f326(f8(x84641,a931),x84643),x84644)))
% 197.76/197.84 [8465]~P145(x84652)+E(f326(f326(f8(x84651,x84652),f326(f326(f10(a1,x84652,x84651),f102(x84652)),x84653)),x84654),f326(f102(x84652),f326(f326(f8(x84651,a1),x84653),x84654)))
% 197.76/197.84 [8515]~P71(x85152)+E(f326(f326(f11(x85151,x85152),f326(f326(f10(x85152,x85152,x85151),f75(x85152)),x85153)),x85154),f326(f75(x85152),f326(f326(f11(x85151,x85152),x85153),x85154)))
% 197.76/197.84 [8516]~P72(x85162)+E(f326(f326(f8(x85161,x85162),f326(f326(f10(x85162,x85162,x85161),f78(x85162)),x85163)),x85164),f326(f78(x85162),f326(f326(f8(x85161,x85162),x85163),x85164)))
% 197.76/197.84 [8518]E(f326(f326(f8(x85181,a931),x85182),f326(f326(f3(f939(x85181,a927)),x85183),f326(f326(f308(x85181),x85184),f188(f939(x85181,a927))))),f326(f326(f3(a931),f326(f326(f8(x85181,a931),x85182),x85183)),f326(x85182,x85184)))+~P1(f326(f326(f328(x85181),x85184),x85183))
% 197.76/197.84 [8537]P1(f326(f326(f234(f939(x85371,a927)),x85372),x85373))+~P1(f326(f326(f234(f939(x85371,a927)),f326(f326(f308(x85371),x85374),x85372)),x85373))
% 197.76/197.84 [8661]~E(f326(f309(x86612,x86613,x86611),f241(f939(x86612,a927))),f241(f939(x86613,a927)))+E(f326(x86611,f326(f91(x86612,x86613,f241(f939(x86612,a927)),x86611),x86614)),x86614)
% 197.76/197.84 [8743]P41(x87431,x87432)+~P41(x87431,f326(f326(f308(f938(x87431,x87431)),f326(f326(f251(x87431,x87431),x87433),x87434)),x87432))
% 197.76/197.84 [8744]P62(x87441,x87442)+~P62(x87441,f326(f326(f308(f938(x87441,x87441)),f326(f326(f251(x87441,x87441),x87443),x87444)),x87442))
% 197.76/197.84 [8749]~P111(x87491)+E(f326(f326(f148(x87491,x87491,f7(x87491)),x87492),f326(f326(f148(x87491,x87491,f7(x87491)),x87493),x87494)),f326(f326(f148(x87491,x87491,f7(x87491)),x87493),f326(f326(f148(x87491,x87491,f7(x87491)),x87492),x87494)))
% 197.76/197.84 [8764]E(x87641,x87642)+~P1(f326(f62(x87643,x87644,f326(f326(f308(x87643),x87641),f188(f939(x87643,a927)))),x87642))
% 197.76/197.84 [8773]E(f326(f326(f134(x87731),f326(f326(f175(x87731),x87732),x87733)),f326(f326(f175(x87731),x87734),f326(f326(f138(x87731),x87732),x87733))),f326(f326(f175(x87731),f326(f326(f79(a931),x87732),x87734)),x87733))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x87732),x87734)),f326(f189(f932(x87731)),x87733)))
% 197.76/197.84 [8813]P1(f326(f61(x88131),x88132))+~E(x88132,f326(f309(a931,x88131,x88133),f326(f261(a931),f326(f326(f9(a931,a931,a927),f235(a931)),x88134))))
% 197.76/197.84 [8833]~P95(x88331)+E(f326(f142(x88331,x88331,f79(x88331),f326(f326(f79(x88331),x88332),x88333)),x88334),f326(f326(f79(x88331),x88332),f326(f142(x88331,x88331,f79(x88331),x88333),x88334)))
% 197.76/197.84 [8869]P1(f326(f326(f234(f939(x88691,a927)),f326(f263(x88691,x88692),x88693)),f326(f263(x88691,x88692),x88694)))+~P1(f326(f326(f234(f939(f938(x88691,x88692),a927)),x88693),x88694))
% 197.76/197.84 [8881]~P1(f326(f326(f234(a931),x88812),x88814))+P1(f326(f326(f234(f939(x88811,a927)),f326(f172(x88811),f326(f326(f175(x88811),x88812),x88813))),f326(f172(x88811),f326(f326(f175(x88811),x88814),x88813))))
% 197.76/197.84 [8882]~P1(f326(f326(f234(a931),x88824),x88822))+P1(f326(f326(f234(f939(x88821,a927)),f326(f172(x88821),f326(f326(f138(x88821),x88822),x88823))),f326(f172(x88821),f326(f326(f138(x88821),x88824),x88823))))
% 197.76/197.84 [8939]~P1(f326(f61(x89391),f326(f326(f3(f939(x89391,a927)),x89392),x89394)))+P1(f326(f61(x89391),f326(f326(f3(f939(x89391,a927)),x89392),f326(f326(f308(x89391),x89393),x89394))))
% 197.76/197.84 [8981]P1(f326(f326(f328(f938(x89811,x89811)),x89812),f306(x89811,x89813)))+~P1(f326(f326(f328(f938(x89811,x89811)),x89812),f326(f326(f183(f938(x89811,x89811),a927),x89814),x89813)))
% 197.76/197.84 [9067]~P1(f326(f61(x90671),f326(f326(f3(f939(x90671,a927)),x90672),f326(f326(f308(x90671),x90674),x90673))))+P1(f326(f61(x90671),f326(f326(f3(f939(x90671,a927)),x90672),x90673)))
% 197.76/197.84 [9280]~P3(x92801)+P1(f326(f326(f234(x92801),f326(f326(f110(x92801),x92802),f326(f326(f101(x92801),x92803),x92804))),f326(f326(f101(x92801),f326(f326(f110(x92801),x92802),x92803)),f326(f326(f110(x92801),x92802),x92804))))
% 197.76/197.84 [9281]~P111(x92811)+P1(f326(f326(f234(x92811),f326(f326(f233(x92811),x92812),f326(f326(f232(x92811),x92813),x92814))),f326(f326(f232(x92811),f326(f326(f233(x92811),x92812),x92813)),f326(f326(f233(x92811),x92812),x92814))))
% 197.76/197.84 [9436]E(x94361,x94362)+~P1(f326(f326(f328(f938(x94363,x94363)),f326(f326(f251(x94363,x94363),x94361),x94362)),f326(f172(f938(x94363,x94363)),f326(f326(f181(x94363,x94363),x94364),x94364))))
% 197.76/197.84 [9467]~P1(f326(f326(f328(f938(x94671,x94671)),f326(f326(f251(x94671,x94671),x94673),x94672)),f306(x94671,x94674)))+~P41(x94671,f326(f326(f308(f938(x94671,x94671)),f326(f326(f251(x94671,x94671),x94672),x94673)),x94674))
% 197.76/197.84 [9468]~P1(f326(f326(f328(f938(x94681,x94681)),f326(f326(f251(x94681,x94681),x94683),x94682)),f306(x94681,x94684)))+~P62(x94681,f326(f326(f308(f938(x94681,x94681)),f326(f326(f251(x94681,x94681),x94682),x94683)),x94684))
% 197.76/197.84 [9472]E(x94721,x94722)+E(f326(f136(x94723,f326(f326(f10(a927,a927,x94723),a321),f326(a323,x94721))),f326(f326(f151(x94723),x94722),x94724)),f326(f326(f151(x94723),x94722),f326(f136(x94723,f326(f326(f10(a927,a927,x94723),a321),f326(a323,x94721))),x94724)))
% 197.76/197.84 [9502]~P28(x95022,x95021,x95023,f241(f939(x95022,a927)),f241(f939(x95021,a927)))+E(f326(f309(x95021,x95022,f91(x95022,x95021,f241(f939(x95022,a927)),x95023)),x95024),f326(f310(x95022,x95021,x95023),x95024))
% 197.76/197.84 [9517]~P3(x95171)+P1(f326(f326(f234(x95171),f326(f326(f110(x95171),f326(f326(f101(x95171),x95172),x95173)),f326(f326(f101(x95171),x95172),x95174))),f326(f326(f101(x95171),x95172),f326(f326(f110(x95171),x95173),x95174))))
% 197.76/197.84 [9518]~P111(x95181)+P1(f326(f326(f234(x95181),f326(f326(f233(x95181),f326(f326(f232(x95181),x95182),x95183)),f326(f326(f232(x95181),x95182),x95184))),f326(f326(f232(x95181),x95182),f326(f326(f233(x95181),x95183),x95184))))
% 197.76/197.84 [9579]~P28(x95792,x95791,x95794,f241(f939(x95792,a927)),f241(f939(x95791,a927)))+E(f326(f261(x95791),f326(f326(f10(x95792,a927,x95791),x95793),f91(x95792,x95791,f241(f939(x95792,a927)),x95794))),f326(f309(x95792,x95791,x95794),f326(f261(x95792),x95793)))
% 197.76/197.84 [9593]~E(f326(f309(x95932,x95931,x95933),f241(f939(x95932,a927))),f241(f939(x95931,a927)))+P1(f326(f326(f234(f939(x95931,a927)),f326(f78(f939(x95931,a927)),f326(f309(x95932,x95931,x95933),x95934))),f326(f309(x95932,x95931,x95933),f326(f78(f939(x95932,a927)),x95934))))
% 197.76/197.84 [9922]P1(f326(f326(f328(f938(x99221,x99221)),f326(f326(f251(x99221,x99221),x99222),x99223)),f326(f285(x99221,x99221),f326(f326(f288(x99221,x99221,x99221),x99224),f306(x99221,x99224)))))+~P1(f326(f326(f328(f938(x99221,x99221)),f326(f326(f251(x99221,x99221),x99222),x99223)),f326(f326(f288(x99221,x99221,x99221),f326(f285(x99221,x99221),x99224)),f306(x99221,f326(f285(x99221,x99221),x99224)))))
% 197.76/197.84 [9923]~P1(f326(f326(f328(f938(x99231,x99231)),f326(f326(f251(x99231,x99231),x99232),x99233)),f326(f285(x99231,x99231),f326(f326(f288(x99231,x99231,x99231),x99234),f306(x99231,x99234)))))+P1(f326(f326(f328(f938(x99231,x99231)),f326(f326(f251(x99231,x99231),x99232),x99233)),f326(f326(f288(x99231,x99231,x99231),f326(f285(x99231,x99231),x99234)),f306(x99231,f326(f285(x99231,x99231),x99234)))))
% 197.76/197.84 [9944]~P1(f326(f326(f328(x99442),x99444),f326(f283(x99441,x99442),x99443)))+P1(f326(f326(f328(f938(x99441,x99442)),f326(f326(f251(x99441,x99442),f578(x99443,x99441,x99444,x99442)),x99444)),x99443))
% 197.76/197.84 [9945]~P1(f326(f326(f328(x99452),x99454),f326(f283(x99451,x99452),x99453)))+P1(f326(f326(f328(f938(x99451,x99452)),f326(f326(f251(x99451,x99452),f579(x99453,x99451,x99454,x99452)),x99454)),x99453))
% 197.76/197.84 [9970]~P1(f326(f326(f328(x99701),x99704),f326(f326(f110(f939(x99701,a927)),x99702),x99703)))+P1(f326(f326(f326(f110(f939(x99701,a927)),f326(f326(f9(x99701,f939(x99701,a927),a927),f328(x99701)),x99702)),f326(f326(f9(x99701,f939(x99701,a927),a927),f328(x99701)),x99703)),x99704))
% 197.76/197.84 [9971]~P1(f326(f326(f328(x99711),x99714),f326(f326(f101(f939(x99711,a927)),x99712),x99713)))+P1(f326(f326(f326(f101(f939(x99711,a927)),f326(f326(f9(x99711,f939(x99711,a927),a927),f328(x99711)),x99712)),f326(f326(f9(x99711,f939(x99711,a927),a927),f328(x99711)),x99713)),x99714))
% 197.76/197.84 [10051]~P1(f326(f326(f328(f938(x100511,x100511)),f326(f326(f251(x100511,x100511),x100514),x100513)),f326(f326(f288(x100511,x100511,x100511),x100512),f306(x100511,x100512))))+P1(f326(f326(f328(f938(x100511,x100511)),f326(f326(f251(x100511,x100511),f646(x100512,x100513,x100514,x100511)),x100513)),x100512))
% 197.76/197.84 [10086]P1(f326(f326(f328(x100861),x100862),f326(f326(f110(f939(x100861,a927)),x100863),x100864)))+~P1(f326(f326(f326(f110(f939(x100861,a927)),f326(f326(f9(x100861,f939(x100861,a927),a927),f328(x100861)),x100863)),f326(f326(f9(x100861,f939(x100861,a927),a927),f328(x100861)),x100864)),x100862))
% 197.76/197.84 [10087]P1(f326(f326(f328(x100871),x100872),f326(f326(f101(f939(x100871,a927)),x100873),x100874)))+~P1(f326(f326(f326(f101(f939(x100871,a927)),f326(f326(f9(x100871,f939(x100871,a927),a927),f328(x100871)),x100873)),f326(f326(f9(x100871,f939(x100871,a927),a927),f328(x100871)),x100874)),x100872))
% 197.76/197.84 [10373]P36(x103731,f326(f326(f9(x103731,f939(f938(x103731,x103731),a927),f939(x103731,a927)),f326(f326(f10(f939(x103731,f939(f939(f938(x103731,x103731),a927),a927)),f939(f939(f938(x103731,x103731),a927),f939(x103731,a927)),x103731),f9(x103731,f939(f938(x103731,x103731),a927),a927)),f326(f326(f10(f939(x103731,f938(x103731,x103731)),f939(x103731,f939(f939(f938(x103731,x103731),a927),a927)),x103731),f326(f10(f938(x103731,x103731),f939(f939(f938(x103731,x103731),a927),a927),x103731),f328(f938(x103731,x103731)))),f251(x103731,x103731)))),x103732),x103733,x103734)+~P1(f326(f326(f328(f938(f932(x103731),f932(x103731))),f326(f326(f251(f932(x103731),f932(x103731)),x103733),x103734)),f158(x103731,x103732)))
% 197.76/197.84 [10377]P63(x103771,f326(f326(f9(x103771,f939(f938(x103771,x103771),a927),f939(x103771,a927)),f326(f326(f10(f939(x103771,f939(f939(f938(x103771,x103771),a927),a927)),f939(f939(f938(x103771,x103771),a927),f939(x103771,a927)),x103771),f9(x103771,f939(f938(x103771,x103771),a927),a927)),f326(f326(f10(f939(x103771,f938(x103771,x103771)),f939(x103771,f939(f939(f938(x103771,x103771),a927),a927)),x103771),f326(f10(f938(x103771,x103771),f939(f939(f938(x103771,x103771),a927),a927),x103771),f328(f938(x103771,x103771)))),f251(x103771,x103771)))),x103772),x103773,x103774)+~P1(f326(f326(f328(f938(f939(x103771,a927),f939(x103771,a927))),f326(f326(f251(f939(x103771,a927),f939(x103771,a927)),x103773),x103774)),f318(x103771,x103772)))
% 197.76/197.84 [10413]E(x104131,x104132)+~E(f326(f326(f9(x104133,f939(f938(x104133,x104134),a927),f939(x104134,a927)),f326(f326(f10(f939(x104134,f939(f939(f938(x104133,x104134),a927),a927)),f939(f939(f938(x104133,x104134),a927),f939(x104134,a927)),x104133),f9(x104134,f939(f938(x104133,x104134),a927),a927)),f326(f326(f10(f939(x104134,f938(x104133,x104134)),f939(x104134,f939(f939(f938(x104133,x104134),a927),a927)),x104133),f326(f10(f938(x104133,x104134),f939(f939(f938(x104133,x104134),a927),a927),x104134),f328(f938(x104133,x104134)))),f251(x104133,x104134)))),x104131),f326(f326(f9(x104133,f939(f938(x104133,x104134),a927),f939(x104134,a927)),f326(f326(f10(f939(x104134,f939(f939(f938(x104133,x104134),a927),a927)),f939(f939(f938(x104133,x104134),a927),f939(x104134,a927)),x104133),f9(x104134,f939(f938(x104133,x104134),a927),a927)),f326(f326(f10(f939(x104134,f938(x104133,x104134)),f939(x104134,f939(f939(f938(x104133,x104134),a927),a927)),x104133),f326(f10(f938(x104133,x104134),f939(f939(f938(x104133,x104134),a927),a927),x104134),f328(f938(x104133,x104134)))),f251(x104133,x104134)))),x104132))
% 197.76/197.84 [10416]~P36(x104161,f326(f326(f9(x104161,f939(f938(x104161,x104161),a927),f939(x104161,a927)),f326(f326(f10(f939(x104161,f939(f939(f938(x104161,x104161),a927),a927)),f939(f939(f938(x104161,x104161),a927),f939(x104161,a927)),x104161),f9(x104161,f939(f938(x104161,x104161),a927),a927)),f326(f326(f10(f939(x104161,f938(x104161,x104161)),f939(x104161,f939(f939(f938(x104161,x104161),a927),a927)),x104161),f326(f10(f938(x104161,x104161),f939(f939(f938(x104161,x104161),a927),a927),x104161),f328(f938(x104161,x104161)))),f251(x104161,x104161)))),x104164),x104162,x104163)+P1(f326(f326(f328(f938(f932(x104161),f932(x104161))),f326(f326(f251(f932(x104161),f932(x104161)),x104162),x104163)),f158(x104161,x104164)))
% 197.76/197.84 [10417]~P63(x104171,f326(f326(f9(x104171,f939(f938(x104171,x104171),a927),f939(x104171,a927)),f326(f326(f10(f939(x104171,f939(f939(f938(x104171,x104171),a927),a927)),f939(f939(f938(x104171,x104171),a927),f939(x104171,a927)),x104171),f9(x104171,f939(f938(x104171,x104171),a927),a927)),f326(f326(f10(f939(x104171,f938(x104171,x104171)),f939(x104171,f939(f939(f938(x104171,x104171),a927),a927)),x104171),f326(f10(f938(x104171,x104171),f939(f939(f938(x104171,x104171),a927),a927),x104171),f328(f938(x104171,x104171)))),f251(x104171,x104171)))),x104174),x104172,x104173)+P1(f326(f326(f328(f938(f939(x104171,a927),f939(x104171,a927))),f326(f326(f251(f939(x104171,a927),f939(x104171,a927)),x104172),x104173)),f318(x104171,x104174)))
% 197.76/197.84 [7766]~P98(x77661)+E(f326(f326(f80(x77661),f326(f103(x77661),x77662)),f326(f326(f80(x77661),f326(f103(x77661),x77663)),x77664)),f326(f326(f80(x77661),f326(f103(x77661),f326(f326(f80(a1),x77662),x77663))),x77664))
% 197.76/197.84 [7767]~P98(x77671)+E(f326(f326(f79(x77671),f326(f103(x77671),x77672)),f326(f326(f3(x77671),f326(f103(x77671),x77673)),x77674)),f326(f326(f3(x77671),f326(f103(x77671),f326(f326(f79(a1),x77672),x77673))),x77674))
% 197.76/197.84 [7768]~P98(x77681)+E(f326(f326(f79(x77681),f326(f103(x77681),x77682)),f326(f326(f79(x77681),f326(f103(x77681),x77683)),x77684)),f326(f326(f79(x77681),f326(f103(x77681),f326(f326(f79(a1),x77682),x77683))),x77684))
% 197.76/197.84 [7810]~P148(x78101)+E(f326(f165(x78101),f326(f326(f154(x78102,x78101),f326(f18(x78101,x78102),x78103)),x78104)),f326(f326(f80(x78101),f326(f100(x78101),f326(f189(f932(x78102)),x78104))),x78103))
% 197.76/197.84 [8047]E(f326(f267(x80471,f326(f326(f151(f938(a99,x80471)),x80472),x80473)),x80474),f326(f255(a99,x80471),x80472))+~P1(f326(f326(f235(a99),x80474),f326(f250(a99,x80471),x80472)))
% 197.76/197.84 [8093]~P98(x80931)+E(f326(f326(f79(x80931),f326(f103(x80931),x80932)),f326(f326(f3(x80931),x80933),f326(f103(x80931),x80934))),f326(f326(f79(x80931),f326(f103(x80931),f326(f326(f79(a1),x80932),f326(f78(a1),x80934)))),x80933))
% 197.76/197.84 [8228]E(f326(f267(x82281,x82282),f326(f326(f3(a99),x82283),f326(f250(a99,x82281),x82284))),f326(f267(x82281,f326(f326(f151(f938(a99,x82281)),x82284),x82282)),x82283))+P1(f326(f326(f235(a99),x82283),f326(f250(a99,x82281),x82284)))
% 197.76/197.84 [8667]~P1(f326(f326(f328(x86671),x86672),f326(f172(x86671),f114(x86671,x86674))))+P1(f326(f326(f328(x86671),x86672),f326(f172(x86671),f114(x86671,f326(f326(f134(x86671),x86673),x86674)))))
% 197.76/197.84 [8668]~P1(f326(f326(f328(x86681),x86682),f326(f172(x86681),f114(x86681,x86683))))+P1(f326(f326(f328(x86681),x86682),f326(f172(x86681),f114(x86681,f326(f326(f134(x86681),x86683),x86684)))))
% 197.76/197.84 [8686]E(f326(f326(f110(f939(x86861,a927)),f326(f326(f101(f939(x86861,a927)),x86862),x86863)),x86864),f326(f326(f101(f939(x86861,a927)),x86862),f326(f326(f110(f939(x86861,a927)),x86863),x86864)))+~P1(f326(f326(f234(f939(x86861,a927)),x86864),x86862))
% 197.76/197.84 [8995]~E(f326(f326(f110(f939(x89951,a927)),f326(f326(f101(f939(x89951,a927)),x89953),x89954)),x89952),f326(f326(f101(f939(x89951,a927)),x89953),f326(f326(f110(f939(x89951,a927)),x89954),x89952)))+P1(f326(f326(f234(f939(x89951,a927)),x89952),x89953))
% 197.76/197.84 [9285]~P1(f326(f326(f234(f939(x92851,a927)),x92852),f326(f326(f110(f939(x92851,a927)),x92853),x92854)))+P1(f326(f326(f234(f939(x92851,a927)),f326(f326(f3(f939(x92851,a927)),x92852),x92853)),x92854))
% 197.76/197.84 [9400]~E(f326(f309(x94001,x94002,x94003),f241(f939(x94001,a927))),f241(f939(x94002,a927)))+E(f326(f309(x94001,x94002,x94003),f326(f309(x94002,x94001,f91(x94001,x94002,f241(f939(x94001,a927)),x94003)),x94004)),x94004)
% 197.76/197.84 [9410]P1(f326(f326(f234(f939(x94101,a927)),x94102),f326(f326(f110(f939(x94101,a927)),x94103),x94104)))+~P1(f326(f326(f234(f939(x94101,a927)),f326(f326(f3(f939(x94101,a927)),x94102),x94103)),x94104))
% 197.76/197.84 [9498]~P89(x94981)+E(f326(f75(x94981),f326(f326(f8(x94982,x94981),f326(f326(f10(x94981,x94981,x94982),f75(x94981)),x94983)),x94984)),f326(f326(f8(x94982,x94981),f326(f326(f10(x94981,x94981,x94982),f75(x94981)),x94983)),x94984))
% 197.76/197.84 [9669]~P89(x96691)+P1(f326(f326(f234(x96691),f2(x96691)),f326(f326(f8(x96692,x96691),f326(f326(f10(x96691,x96691,x96692),f75(x96691)),x96693)),x96694)))
% 197.76/197.84 [9673]~P72(x96731)+E(f326(f165(x96731),f326(f326(f154(x96732,x96731),f326(f72(x96731,x96731,x96732,f78(x96731)),x96733)),x96734)),f326(f78(x96731),f326(f165(x96731),f326(f326(f154(x96732,x96731),x96733),x96734))))
% 197.76/197.84 [9816]~P89(x98161)+P1(f326(f326(f234(x98161),f326(f75(x98161),f326(f326(f8(x98162,x98161),x98163),x98164))),f326(f326(f8(x98162,x98161),f326(f326(f10(x98161,x98161,x98162),f75(x98161)),x98163)),x98164)))
% 197.76/197.84 [9845]~E(f326(f326(f79(a931),x98451),x98454),f326(f326(f79(a931),x98453),x98452))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x98451),x98452)),f326(f326(f251(a931,a931),x98453),x98454))),a108))
% 197.76/197.84 [9846]~P1(f326(f326(f235(a931),x98461),x98463))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x98461),x98462)),f326(f326(f251(a931,a931),x98463),x98464))),a32))
% 197.76/197.84 [9847]~P1(f326(f326(f235(a931),x98471),x98473))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x98471),x98472)),f326(f326(f251(a931,a931),x98473),x98474))),a70))
% 197.76/197.84 [9995]E(f326(f326(f79(a931),x99951),x99952),f326(f326(f79(a931),x99953),x99954))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x99951),x99954)),f326(f326(f251(a931,a931),x99953),x99952))),a108))
% 197.76/197.84 [10026]E(f326(f326(f164(x100261),f326(f326(f138(x100261),f326(f189(f932(x100261)),f177(x100261,x100262,x100263))),x100263)),x100264),f326(f326(f164(x100261),x100263),f326(f326(f79(a931),x100264),f326(f189(f932(x100261)),f177(x100261,x100262,x100263)))))+~P1(f326(f326(f235(a931),x100264),f326(f189(f932(x100261)),f326(f326(f138(x100261),f326(f189(f932(x100261)),f177(x100261,x100262,x100263))),x100263))))
% 197.76/197.84 [10042]~P1(f326(f326(f328(x100422),x100424),f326(f326(f39(x100421,f939(x100422,a927)),f241(f939(x100421,a927))),x100423)))+P1(f326(f326(f326(f39(x100421,f939(x100422,a927)),f241(f939(x100421,a927))),f326(f326(f10(f939(x100422,a927),f939(x100422,a927),x100421),f326(f9(x100422,f939(x100422,a927),a927),f328(x100422))),x100423)),x100424))
% 197.76/197.84 [10043]~P1(f326(f326(f328(x100432),x100434),f326(f326(f40(x100431,f939(x100432,a927)),f241(f939(x100431,a927))),x100433)))+P1(f326(f326(f326(f40(x100431,f939(x100432,a927)),f241(f939(x100431,a927))),f326(f326(f10(f939(x100432,a927),f939(x100432,a927),x100431),f326(f9(x100432,f939(x100432,a927),a927),f328(x100432))),x100433)),x100434))
% 197.76/197.84 [10113]~P1(f326(f49(x101131,x101132),f326(f326(f251(a1,a1),x101134),x101133)))+P1(f326(f49(f326(f78(a1),x101131),x101132),f326(f326(f251(a1,a1),f326(f326(f326(f96(a1),f326(f326(a323,x101133),f2(a1))),f326(f78(a1),x101134)),f326(f326(f3(a1),f326(f78(a1),x101134)),f77(a1)))),f326(f326(f326(f96(a1),f326(f326(a323,x101133),f2(a1))),f2(a1)),f326(f326(f3(a1),x101132),x101133)))))
% 197.76/197.84 [10125]P1(f326(f326(f328(x101251),x101252),f326(f326(f39(x101253,f939(x101251,a927)),f241(f939(x101253,a927))),x101254)))+~P1(f326(f326(f326(f39(x101253,f939(x101251,a927)),f241(f939(x101253,a927))),f326(f326(f10(f939(x101251,a927),f939(x101251,a927),x101253),f326(f9(x101251,f939(x101251,a927),a927),f328(x101251))),x101254)),x101252))
% 197.76/197.84 [10126]P1(f326(f326(f328(x101261),x101262),f326(f326(f40(x101263,f939(x101261,a927)),f241(f939(x101263,a927))),x101264)))+~P1(f326(f326(f326(f40(x101263,f939(x101261,a927)),f241(f939(x101263,a927))),f326(f326(f10(f939(x101261,a927),f939(x101261,a927),x101263),f326(f9(x101261,f939(x101261,a927),a927),f328(x101261))),x101264)),x101262))
% 197.76/197.84 [10138]E(f326(f326(f40(a931,f939(x101381,a927)),f241(f939(a931,a927))),x101382),f326(f326(f40(a931,f939(x101381,a927)),f241(f939(a931,a927))),x101383))+~E(f326(f326(f40(a931,f939(x101381,a927)),f326(f301(a931,f2(a931)),f496(x101382,x101384,x101383,x101381))),x101383),f326(f326(f40(a931,f939(x101381,a927)),f326(f301(a931,f2(a931)),f326(f326(f79(a931),f496(x101382,x101384,x101383,x101381)),x101384))),x101382))
% 197.76/197.84 [10493]~P1(f326(f326(f234(f939(f938(x104931,x104932),a927)),x104933),x104934))+P1(f326(f326(f234(f939(x104931,f939(x104932,a927))),f326(f326(f9(x104931,f939(f938(x104931,x104932),a927),f939(x104932,a927)),f326(f326(f10(f939(x104932,f939(f939(f938(x104931,x104932),a927),a927)),f939(f939(f938(x104931,x104932),a927),f939(x104932,a927)),x104931),f9(x104932,f939(f938(x104931,x104932),a927),a927)),f326(f326(f10(f939(x104932,f938(x104931,x104932)),f939(x104932,f939(f939(f938(x104931,x104932),a927),a927)),x104931),f326(f10(f938(x104931,x104932),f939(f939(f938(x104931,x104932),a927),a927),x104932),f328(f938(x104931,x104932)))),f251(x104931,x104932)))),x104933)),f326(f326(f9(x104931,f939(f938(x104931,x104932),a927),f939(x104932,a927)),f326(f326(f10(f939(x104932,f939(f939(f938(x104931,x104932),a927),a927)),f939(f939(f938(x104931,x104932),a927),f939(x104932,a927)),x104931),f9(x104932,f939(f938(x104931,x104932),a927),a927)),f326(f326(f10(f939(x104932,f938(x104931,x104932)),f939(x104932,f939(f939(f938(x104931,x104932),a927),a927)),x104931),f326(f10(f938(x104931,x104932),f939(f939(f938(x104931,x104932),a927),a927),x104932),f328(f938(x104931,x104932)))),f251(x104931,x104932)))),x104934)))
% 197.76/197.84 [10510]P1(f326(f326(f234(f939(f938(x105101,x105102),a927)),x105103),x105104))+~P1(f326(f326(f234(f939(x105101,f939(x105102,a927))),f326(f326(f9(x105101,f939(f938(x105101,x105102),a927),f939(x105102,a927)),f326(f326(f10(f939(x105102,f939(f939(f938(x105101,x105102),a927),a927)),f939(f939(f938(x105101,x105102),a927),f939(x105102,a927)),x105101),f9(x105102,f939(f938(x105101,x105102),a927),a927)),f326(f326(f10(f939(x105102,f938(x105101,x105102)),f939(x105102,f939(f939(f938(x105101,x105102),a927),a927)),x105101),f326(f10(f938(x105101,x105102),f939(f939(f938(x105101,x105102),a927),a927),x105102),f328(f938(x105101,x105102)))),f251(x105101,x105102)))),x105103)),f326(f326(f9(x105101,f939(f938(x105101,x105102),a927),f939(x105102,a927)),f326(f326(f10(f939(x105102,f939(f939(f938(x105101,x105102),a927),a927)),f939(f939(f938(x105101,x105102),a927),f939(x105102,a927)),x105101),f9(x105102,f939(f938(x105101,x105102),a927),a927)),f326(f326(f10(f939(x105102,f938(x105101,x105102)),f939(x105102,f939(f939(f938(x105101,x105102),a927),a927)),x105101),f326(f10(f938(x105101,x105102),f939(f939(f938(x105101,x105102),a927),a927),x105102),f328(f938(x105101,x105102)))),f251(x105101,x105102)))),x105104)))
% 197.76/197.84 [9544]~P1(f326(f326(f328(f938(x95441,x95441)),x95442),f306(x95441,x95444)))+P1(f326(f326(f328(f938(x95441,x95441)),x95442),f306(x95441,f326(f326(f110(f939(f938(x95441,x95441),a927)),x95443),x95444))))
% 197.76/197.84 [9545]~P1(f326(f326(f328(f938(x95451,x95451)),x95452),f306(x95451,x95453)))+P1(f326(f326(f328(f938(x95451,x95451)),x95452),f306(x95451,f326(f326(f110(f939(f938(x95451,x95451),a927)),x95453),x95454))))
% 197.76/197.84 [10226]~P1(f326(f326(f234(a931),f326(f326(f79(a931),x102261),x102264)),f326(f326(f79(a931),x102263),x102262)))+P1(f326(f326(f234(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x102261),x102262)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x102263),x102264)),f188(f939(f938(a931,a931),a927)))))))
% 197.76/197.84 [10227]~P1(f326(f326(f235(a931),f326(f326(f79(a931),x102271),x102274)),f326(f326(f79(a931),x102273),x102272)))+P1(f326(f326(f235(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x102271),x102272)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x102273),x102274)),f188(f939(f938(a931,a931),a927)))))))
% 197.76/197.84 [10314]P1(f326(f326(f234(a931),f326(f326(f79(a931),x103141),x103142)),f326(f326(f79(a931),x103143),x103144)))+~P1(f326(f326(f234(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x103141),x103144)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x103143),x103142)),f188(f939(f938(a931,a931),a927)))))))
% 197.76/197.84 [10315]P1(f326(f326(f235(a931),f326(f326(f79(a931),x103151),x103152)),f326(f326(f79(a931),x103153),x103154)))+~P1(f326(f326(f235(a1),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x103151),x103154)),f188(f939(f938(a931,a931),a927)))))),f326(a88,f326(f284(f938(a931,a931),f938(a931,a931),a108),f326(f326(f308(f938(a931,a931)),f326(f326(f251(a931,a931),x103153),x103152)),f188(f939(f938(a931,a931),a927)))))))
% 197.76/197.84 [10359]P1(f326(f326(f234(f939(x103591,a927)),f326(f326(f40(a931,f939(x103591,a927)),f241(f939(a931,a927))),x103592)),f326(f326(f40(a931,f939(x103591,a927)),f241(f939(a931,a927))),x103593)))+~P1(f326(f326(f234(f939(x103591,a927)),f326(f326(f40(a931,f939(x103591,a927)),f326(f301(a931,f2(a931)),f497(x103593,x103594,x103592,x103591))),x103592)),f326(f326(f40(a931,f939(x103591,a927)),f326(f301(a931,f2(a931)),f326(f326(f79(a931),f497(x103593,x103594,x103592,x103591)),x103594))),x103593)))
% 197.76/197.84 [10420]P1(f326(f326(f234(a99),x104204),f2(a99)))+E(f326(f326(f258(f938(a99,a99),f938(x104201,f939(a934,a322)),f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99))),f326(x104202,x104203)),f326(f326(f10(f939(f939(a99,f939(a927,f935(f933(x104201)))),f939(f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99)))),f939(f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99))),f938(x104201,f939(a934,a322))),f326(f258(f938(a99,a99),f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99))),f276(x104201,x104202,f326(f326(f3(a99),x104204),f77(a99)),x104203))),f326(f326(f10(f939(f939(a99,f939(a927,f935(f933(x104201)))),f939(a99,f939(a927,f935(f933(x104201))))),f939(f939(a99,f939(a927,f935(f933(x104201)))),f939(f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99)))),f938(x104201,f939(a934,a322))),f326(f10(f939(a99,f939(a927,f935(f933(x104201)))),f939(f938(a99,a99),f938(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99))),f939(a99,f939(a927,f935(f933(x104201))))),f251(f939(a99,f939(a927,f935(f933(x104201)))),f938(a99,a99)))),f326(f326(f10(f939(a99,f939(a927,f935(f933(x104201)))),f939(f939(a99,f939(a927,f935(f933(x104201)))),f939(a99,f939(a927,f935(f933(x104201))))),f938(x104201,f939(a934,a322))),f44(x104201)),f326(f326(f10(x104201,f939(a99,f939(a927,f935(f933(x104201)))),f938(x104201,f939(a934,a322))),f42(x104201)),f250(x104201,f939(a934,a322))))))),f276(x104201,x104202,x104204,x104203))
% 197.76/197.84 [10482]~P1(f326(f326(f328(x104822),x104824),f326(f283(x104821,x104822),x104823)))+P1(f326(f249(x104821,x104822,f326(f326(f9(x104821,f939(f938(x104821,x104822),a927),f939(x104822,a927)),f326(f326(f10(f939(x104822,f939(f939(f938(x104821,x104822),a927),a927)),f939(f939(f938(x104821,x104822),a927),f939(x104822,a927)),x104821),f9(x104822,f939(f938(x104821,x104822),a927),a927)),f326(f326(f10(f939(x104822,f938(x104821,x104822)),f939(x104822,f939(f939(f938(x104821,x104822),a927),a927)),x104821),f326(f10(f938(x104821,x104822),f939(f939(f938(x104821,x104822),a927),a927),x104822),f328(f938(x104821,x104822)))),f251(x104821,x104822)))),x104823)),x104824))
% 197.76/197.84 [10483]~P1(f326(f326(f328(x104831),x104834),f326(f263(x104831,x104832),x104833)))+P1(f326(f248(x104831,x104832,f326(f326(f9(x104831,f939(f938(x104831,x104832),a927),f939(x104832,a927)),f326(f326(f10(f939(x104832,f939(f939(f938(x104831,x104832),a927),a927)),f939(f939(f938(x104831,x104832),a927),f939(x104832,a927)),x104831),f9(x104832,f939(f938(x104831,x104832),a927),a927)),f326(f326(f10(f939(x104832,f938(x104831,x104832)),f939(x104832,f939(f939(f938(x104831,x104832),a927),a927)),x104831),f326(f10(f938(x104831,x104832),f939(f939(f938(x104831,x104832),a927),a927),x104832),f328(f938(x104831,x104832)))),f251(x104831,x104832)))),x104833)),x104834))
% 197.76/197.84 [10496]P1(f326(f326(f328(x104961),x104962),f326(f283(x104963,x104961),x104964)))+~P1(f326(f249(x104963,x104961,f326(f326(f9(x104963,f939(f938(x104963,x104961),a927),f939(x104961,a927)),f326(f326(f10(f939(x104961,f939(f939(f938(x104963,x104961),a927),a927)),f939(f939(f938(x104963,x104961),a927),f939(x104961,a927)),x104963),f9(x104961,f939(f938(x104963,x104961),a927),a927)),f326(f326(f10(f939(x104961,f938(x104963,x104961)),f939(x104961,f939(f939(f938(x104963,x104961),a927),a927)),x104963),f326(f10(f938(x104963,x104961),f939(f939(f938(x104963,x104961),a927),a927),x104961),f328(f938(x104963,x104961)))),f251(x104963,x104961)))),x104964)),x104962))
% 197.76/197.84 [10497]P1(f326(f326(f328(x104971),x104972),f326(f263(x104971,x104973),x104974)))+~P1(f326(f248(x104971,x104973,f326(f326(f9(x104971,f939(f938(x104971,x104973),a927),f939(x104973,a927)),f326(f326(f10(f939(x104973,f939(f939(f938(x104971,x104973),a927),a927)),f939(f939(f938(x104971,x104973),a927),f939(x104973,a927)),x104971),f9(x104973,f939(f938(x104971,x104973),a927),a927)),f326(f326(f10(f939(x104973,f938(x104971,x104973)),f939(x104973,f939(f939(f938(x104971,x104973),a927),a927)),x104971),f326(f10(f938(x104971,x104973),f939(f939(f938(x104971,x104973),a927),a927),x104973),f328(f938(x104971,x104973)))),f251(x104971,x104973)))),x104974)),x104972))
% 197.76/197.84 [10149]P1(f326(f160(x101491,x101492),x101493))+~P1(f326(f160(x101491,f326(f326(f20(x101491,a927,a927),f326(f326(f10(a927,f939(a927,a927),x101491),a324),x101494)),x101492)),x101493))
% 197.76/197.84 [10150]P1(f326(f160(x101501,x101502),x101503))+~P1(f326(f160(x101501,f326(f326(f20(x101501,a927,a927),f326(f326(f10(a927,f939(a927,a927),x101501),a324),x101502)),x101504)),x101503))
% 197.76/197.84 [10238]~P115(x102381)+E(f326(f326(f80(x102381),f326(f326(f79(x102381),f77(x102381)),f77(x102381))),f326(f326(f8(a931,x102381),f326(f326(f10(x102381,x102381,a931),f326(f79(x102381),x102382)),f326(f326(f9(a931,x102381,x102381),f326(f326(f10(x102381,f939(x102381,x102381),a931),f80(x102381)),f100(x102381))),x102383))),f326(f281(a931),x102384))),f326(f326(f80(x102381),f326(f100(x102381),x102384)),f326(f326(f79(x102381),x102382),f326(f326(f79(x102381),x102382),f326(f326(f80(x102381),f326(f100(x102381),f326(f326(f3(a931),x102384),f77(a931)))),x102383)))))
% 197.76/197.84 [10380]P1(f326(x103801,f588(x103802,x103803,x103804,x103801)))+P41(x103802,f326(f261(f938(x103802,x103802)),f326(f256(x103802,x103802,a927),f326(f326(f10(f939(x103802,a927),f939(x103802,a927),x103802),f326(f20(x103802,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103802),a324),x103801))),f326(f326(f9(x103802,f939(x103802,x103802),f939(x103802,a927)),f326(f326(f10(f939(x103802,a927),f939(f939(x103802,x103802),f939(x103802,a927)),x103802),f10(x103802,a927,x103802)),a323)),x103803)))))
% 197.76/197.84 [10397]~P1(f326(f326(f235(a931),f326(x103974,f326(x103973,f588(x103971,x103973,x103974,x103972)))),f326(x103974,f588(x103971,x103973,x103974,x103972))))+P41(x103971,f326(f261(f938(x103971,x103971)),f326(f256(x103971,x103971,a927),f326(f326(f10(f939(x103971,a927),f939(x103971,a927),x103971),f326(f20(x103971,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103971),a324),x103972))),f326(f326(f9(x103971,f939(x103971,x103971),f939(x103971,a927)),f326(f326(f10(f939(x103971,a927),f939(f939(x103971,x103971),f939(x103971,a927)),x103971),f10(x103971,a927,x103971)),a323)),x103973)))))
% 197.76/197.84 [10467]~P7(x104671)+E(f37(x104671,f326(f261(x104671),f326(f326(f10(f939(f939(x104672,x104671),a927),a927,x104671),f86(f939(x104672,x104671))),f326(f326(f10(f939(f939(x104672,x104671),a927),f939(f939(x104672,x104671),a927),x104671),f326(f20(f939(x104672,x104671),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x104672,x104671)),a324),f326(f326(f9(f939(x104672,x104671),f939(f939(x104672,x104671),a927),a927),f328(f939(x104672,x104671))),x104673)))),f326(f326(f9(x104671,f939(f939(x104672,x104671),x104671),f939(f939(x104672,x104671),a927)),f326(f326(f10(f939(x104671,a927),f939(f939(f939(x104672,x104671),x104671),f939(f939(x104672,x104671),a927)),x104671),f10(x104671,a927,f939(x104672,x104671))),a323)),f326(f326(f9(f939(x104672,x104671),x104672,x104671),f7(f939(x104672,x104671))),x104674)))))),f326(f37(f939(x104672,x104671),x104673),x104674))
% 197.76/197.84 [10468]~P7(x104681)+E(f37(x104681,f326(f261(x104681),f326(f326(f10(f939(f939(x104682,x104681),a927),a927,x104681),f86(f939(x104682,x104681))),f326(f326(f10(f939(f939(x104682,x104681),a927),f939(f939(x104682,x104681),a927),x104681),f326(f20(f939(x104682,x104681),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x104682,x104681)),a324),f326(f326(f9(f939(x104682,x104681),f939(f939(x104682,x104681),a927),a927),f328(f939(x104682,x104681))),x104683)))),f326(f326(f9(x104681,f939(f939(x104682,x104681),x104681),f939(f939(x104682,x104681),a927)),f326(f326(f10(f939(x104681,a927),f939(f939(f939(x104682,x104681),x104681),f939(f939(x104682,x104681),a927)),x104681),f10(x104681,a927,f939(x104682,x104681))),a323)),f326(f326(f9(f939(x104682,x104681),x104682,x104681),f7(f939(x104682,x104681))),x104684)))))),f326(f37(f939(x104682,x104681),x104683),x104684))
% 197.76/197.84 [10469]~P7(x104691)+E(f38(x104691,f326(f261(x104691),f326(f326(f10(f939(f939(x104692,x104691),a927),a927,x104691),f86(f939(x104692,x104691))),f326(f326(f10(f939(f939(x104692,x104691),a927),f939(f939(x104692,x104691),a927),x104691),f326(f20(f939(x104692,x104691),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x104692,x104691)),a324),f326(f326(f9(f939(x104692,x104691),f939(f939(x104692,x104691),a927),a927),f328(f939(x104692,x104691))),x104693)))),f326(f326(f9(x104691,f939(f939(x104692,x104691),x104691),f939(f939(x104692,x104691),a927)),f326(f326(f10(f939(x104691,a927),f939(f939(f939(x104692,x104691),x104691),f939(f939(x104692,x104691),a927)),x104691),f10(x104691,a927,f939(x104692,x104691))),a323)),f326(f326(f9(f939(x104692,x104691),x104692,x104691),f7(f939(x104692,x104691))),x104694)))))),f326(f38(f939(x104692,x104691),x104693),x104694))
% 197.76/197.84 [10470]~P7(x104701)+E(f38(x104701,f326(f261(x104701),f326(f326(f10(f939(f939(x104702,x104701),a927),a927,x104701),f86(f939(x104702,x104701))),f326(f326(f10(f939(f939(x104702,x104701),a927),f939(f939(x104702,x104701),a927),x104701),f326(f20(f939(x104702,x104701),a927,a927),f326(f326(f10(a927,f939(a927,a927),f939(x104702,x104701)),a324),f326(f326(f9(f939(x104702,x104701),f939(f939(x104702,x104701),a927),a927),f328(f939(x104702,x104701))),x104703)))),f326(f326(f9(x104701,f939(f939(x104702,x104701),x104701),f939(f939(x104702,x104701),a927)),f326(f326(f10(f939(x104701,a927),f939(f939(f939(x104702,x104701),x104701),f939(f939(x104702,x104701),a927)),x104701),f10(x104701,a927,f939(x104702,x104701))),a323)),f326(f326(f9(f939(x104702,x104701),x104702,x104701),f7(f939(x104702,x104701))),x104704)))))),f326(f38(f939(x104702,x104701),x104703),x104704))
% 197.76/197.84 [10523]~P1(f326(f326(f328(f938(x105231,x105231)),f326(f326(f251(x105231,x105231),x105233),x105234)),f326(f326(f110(f939(f938(x105231,x105231),a927)),x105232),f306(x105231,f188(f939(f938(x105231,x105231),a927))))))+P1(f326(f326(f326(f326(f110(f939(x105231,f939(x105231,a927))),f326(f326(f9(x105231,f939(f938(x105231,x105231),a927),f939(x105231,a927)),f326(f326(f10(f939(x105231,f939(f939(f938(x105231,x105231),a927),a927)),f939(f939(f938(x105231,x105231),a927),f939(x105231,a927)),x105231),f9(x105231,f939(f938(x105231,x105231),a927),a927)),f326(f326(f10(f939(x105231,f938(x105231,x105231)),f939(x105231,f939(f939(f938(x105231,x105231),a927),a927)),x105231),f326(f10(f938(x105231,x105231),f939(f939(f938(x105231,x105231),a927),a927),x105231),f328(f938(x105231,x105231)))),f251(x105231,x105231)))),x105232)),a323),x105233),x105234))
% 197.76/197.84 [10533]P1(f326(f326(f328(f938(x105331,x105331)),f326(f326(f251(x105331,x105331),x105332),x105333)),f326(f326(f110(f939(f938(x105331,x105331),a927)),x105334),f306(x105331,f188(f939(f938(x105331,x105331),a927))))))+~P1(f326(f326(f326(f326(f110(f939(x105331,f939(x105331,a927))),f326(f326(f9(x105331,f939(f938(x105331,x105331),a927),f939(x105331,a927)),f326(f326(f10(f939(x105331,f939(f939(f938(x105331,x105331),a927),a927)),f939(f939(f938(x105331,x105331),a927),f939(x105331,a927)),x105331),f9(x105331,f939(f938(x105331,x105331),a927),a927)),f326(f326(f10(f939(x105331,f938(x105331,x105331)),f939(x105331,f939(f939(f938(x105331,x105331),a927),a927)),x105331),f326(f10(f938(x105331,x105331),f939(f939(f938(x105331,x105331),a927),a927),x105331),f328(f938(x105331,x105331)))),f251(x105331,x105331)))),x105334)),a323),x105332),x105333))
% 197.76/197.84 [10478]E(f326(f326(f151(f932(x104781)),f326(f326(f151(x104781),x104782),f326(f142(f932(x104781),f932(x104781),f134(x104781),f113(x104781)),f326(f326(f154(f932(x104781),f932(x104781)),f156(f932(x104781),x104781,f113(x104781),f326(f326(f10(f932(x104781),f939(f932(x104781),f932(x104781)),x104781),f18(f932(x104781),f932(x104781))),f326(f326(f9(x104781,f932(x104781),f932(x104781)),f151(x104781)),f113(x104781))))),x104783)))),f179(x104781,f326(f326(f151(f932(x104781)),x104784),f326(f142(f932(f932(x104781)),f932(f932(x104781)),f134(f932(x104781)),f113(f932(x104781))),f326(f326(f154(f932(x104781),f932(f932(x104781))),f156(f932(f932(x104781)),x104781,f113(f932(x104781)),f326(f18(f939(f932(x104781),f932(f932(x104781))),x104781),f326(f326(f9(f932(x104781),f932(f932(x104781)),f932(f932(x104781))),f151(f932(x104781))),f113(f932(x104781)))))),x104783))))),f179(x104781,f326(f326(f151(f932(x104781)),f326(f326(f151(x104781),x104782),x104784)),x104783)))+~P1(f326(f314(f932(f932(x104781)),f180(x104781)),f326(f326(f151(f932(x104781)),f326(f326(f151(x104781),x104782),x104784)),x104783)))
% 197.76/197.84 [10522]~P1(f326(f61(x105222),f326(f261(x105222),x105224)))+P1(f326(f61(x105221),f326(f261(x105221),f326(f326(f10(f939(x105222,a927),a927,x105221),f86(x105222)),f326(f326(f9(x105221,f939(x105222,a927),f939(x105222,a927)),f326(f326(f10(f939(x105222,f939(a927,a927)),f939(f939(x105222,a927),f939(x105222,a927)),x105221),f20(x105222,a927,a927)),f326(f326(f10(f939(x105222,a927),f939(x105222,f939(a927,a927)),x105221),f326(f10(a927,f939(a927,a927),x105222),a324)),f326(f326(f9(x105221,f939(x105222,x105221),f939(x105222,a927)),f326(f326(f10(f939(x105221,a927),f939(f939(x105222,x105221),f939(x105222,a927)),x105221),f10(x105221,a927,x105222)),a323)),x105223)))),x105224)))))
% 197.76/197.84 [9033]P27(x90331,x90332,x90333,x90334)+~P28(x90331,x90332,x90333,x90334,x90335)
% 197.76/197.84 [5513]E(x55131,x55132)+~E(f169(x55133,x55131,x55134),f169(x55133,x55132,x55135))
% 197.76/197.84 [5514]E(x55141,x55142)+~E(f126(x55143,x55144,x55141),f126(x55143,x55145,x55142))
% 197.76/197.84 [5515]E(x55151,x55152)+~E(f126(x55153,x55151,x55154),f126(x55153,x55152,x55155))
% 197.76/197.84 [8363]~E(f326(x83633,x83634),x83635)+E(f74(x83631,x83632,x83633,x83634,x83635),x83633)
% 197.76/197.84 [8891]~E(f74(x88914,x88915,x88911,x88912,x88913),x88911)+E(f326(x88911,x88912),x88913)
% 197.76/197.84 [9405]~P45(f30(x94051,x94055),x94052,x94053,x94054)+P45(x94051,x94052,x94053,f509(x94054,x94053,x94052,x94055,x94051))
% 197.76/197.84 [9406]~P45(f30(x94061,x94065),x94062,x94063,x94064)+P45(x94061,x94062,x94063,f521(x94064,x94063,x94062,x94065,x94061))
% 197.76/197.84 [9407]~P45(f30(x94075,x94071),x94074,x94073,x94072)+P45(x94071,f509(x94072,x94073,x94074,x94071,x94075),x94073,x94072)
% 197.76/197.84 [9408]~P45(f30(x94085,x94081),x94084,x94083,x94082)+P45(x94081,f521(x94082,x94083,x94084,x94081,x94085),x94083,x94082)
% 197.76/197.84 [9515]~P28(x95152,x95151,x95154,x95153,x95155)+P28(x95151,x95152,f76(x95152,x95151,x95153,x95154),x95155,x95153)
% 197.76/197.84 [9516]~P28(x95162,x95161,x95164,x95163,x95165)+P28(x95161,x95162,f91(x95162,x95161,x95163,x95164),x95165,x95163)
% 197.76/197.84 [6324]P1(f326(f249(x63241,x63242,x63243),x63244))+~P1(f326(f326(x63243,x63245),x63244))
% 197.76/197.84 [6326]P1(f326(f248(x63261,x63262,x63263),x63264))+~P1(f326(f326(x63263,x63264),x63265))
% 197.76/197.84 [6801]~E(x68015,f2(a99))+E(f326(f198(x68011,x68012,x68013,x68014),x68015),f115(x68012))
% 197.76/197.84 [6802]~E(x68025,f2(a99))+E(f326(f196(x68021,x68022,x68023,x68024),x68025),f124(x68022))
% 197.76/197.84 [6937]~E(x69373,f2(a99))+E(f326(f272(x69371,x69372,x69373,x69374),x69375),f326(f251(x69371,x69372),x69375))
% 197.76/197.84 [8003]~P22(x80034,x80031,x80032,x80035)+E(f326(f72(x80031,x80031,x80031,f326(x80032,x80033)),f326(x80032,x80033)),f326(x80032,x80033))
% 197.76/197.84 [8405]~P18(x84055,x84051,x84052)+E(f326(f72(x84051,x84051,x84051,f326(x84052,x84053)),f326(x84052,x84054)),f326(f72(x84051,x84051,x84051,f326(x84052,x84054)),f326(x84052,x84053)))
% 197.76/197.84 [8726]P1(f326(f326(f328(f938(x87261,x87261)),f326(f326(f251(x87261,x87261),x87262),x87263)),f320(x87261,x87264,x87265)))+~P1(f326(f326(f235(a931),f326(x87264,x87262)),f326(x87264,x87263)))
% 197.76/197.84 [8819]~P1(f326(f326(f328(x88194),x88193),f298(x88194,x88191,x88192,x88195)))+P1(f326(f326(x88191,x88192),x88193))
% 197.76/197.84 [8820]~P1(f326(f326(f328(x88204),x88203),f289(x88204,x88201,x88202,x88205)))+P1(f326(f326(x88201,x88202),x88203))
% 197.76/197.84 [8821]~P1(f326(f326(f328(x88214),x88212),f298(x88214,x88211,x88215,x88213)))+P1(f326(f326(x88211,x88212),x88213))
% 197.76/197.84 [8822]~P1(f326(f326(f328(x88224),x88222),f289(x88224,x88221,x88225,x88223)))+P1(f326(f326(x88221,x88222),x88223))
% 197.76/197.84 [8903]~P28(x89031,x89033,x89035,x89032,x89034)+E(f326(f35(x89031),x89032),f326(f35(x89033),x89034))
% 197.76/197.84 [8951]~P28(x89511,x89512,x89513,x89514,x89515)+E(f326(f309(x89511,x89512,x89513),x89514),x89515)
% 197.76/197.84 [8971]~P61(x89712,x89711,x89715,x89713,x89714)+E(f326(f309(x89711,x89712,x89713),x89714),f241(f939(x89712,a927)))
% 197.76/197.84 [9425]~P38(x94251,x94252,x94253,x94254,x94255)+P38(x94251,x94252,x94253,f326(f168(x94251),x94254),f326(f168(x94252),x94255))
% 197.76/197.84 [9427]~P38(x94271,x94272,x94273,f326(f168(x94271),x94274),x94275)+P38(x94271,x94272,x94273,x94274,f326(f168(x94272),x94275))
% 197.76/197.84 [9428]~P38(x94281,x94282,x94283,x94284,f326(f168(x94282),x94285))+P38(x94281,x94282,x94283,f326(f168(x94281),x94284),x94285)
% 197.76/197.84 [9434]P38(x94341,x94342,x94343,x94344,x94345)+~P38(x94341,x94342,x94343,f326(f168(x94341),x94344),f326(f168(x94342),x94345))
% 197.76/197.84 [9835]P1(f326(f326(f328(f938(f932(x98351),f932(x98351))),f326(f326(f251(f932(x98351),f932(x98351)),f326(f326(f151(x98351),x98352),x98353)),f326(f326(f151(x98351),x98352),x98354))),f157(x98351,x98355)))+~P1(f326(f326(f328(f938(f932(x98351),f932(x98351))),f326(f326(f251(f932(x98351),f932(x98351)),x98353),x98354)),f157(x98351,x98355)))
% 197.76/197.84 [9836]P1(f326(f326(f328(f938(f932(x98361),f932(x98361))),f326(f326(f251(f932(x98361),f932(x98361)),f326(f326(f134(x98361),x98362),x98363)),f326(f326(f134(x98361),x98362),x98364))),f147(x98361,x98365)))+~P1(f326(f326(f328(f938(f932(x98361),f932(x98361))),f326(f326(f251(f932(x98361),f932(x98361)),x98363),x98364)),f147(x98361,x98365)))
% 197.76/197.84 [10033]E(f326(f326(f151(x100331),f668(x100332,x100333,x100334,x100335,x100331)),f670(x100332,x100333,x100334,x100335,x100331)),x100335)+~P1(f326(f326(f328(f938(f932(x100331),f932(x100331))),f326(f326(f251(f932(x100331),f932(x100331)),x100335),f326(f326(f151(x100331),x100334),x100333))),f158(x100331,x100332)))
% 197.76/197.84 [10054]E(f326(f326(f151(x100541),f664(x100542,x100543,x100544,x100545,x100541)),f669(x100542,x100543,x100544,x100545,x100541)),x100543)+~P1(f326(f326(f328(f938(f932(x100541),f932(x100541))),f326(f326(f251(f932(x100541),f932(x100541)),f326(f326(f151(x100541),x100545),x100544)),x100543)),f158(x100541,x100542)))
% 197.76/197.84 [10201]~P1(f326(f326(f328(f938(f932(x102011),f932(x102011))),f326(f326(f251(f932(x102011),f932(x102011)),f326(f326(f151(x102011),x102015),x102012)),x102014)),f158(x102011,x102013)))+P1(f326(f326(f328(f938(f932(x102011),f932(x102011))),f326(f326(f251(f932(x102011),f932(x102011)),x102012),f669(x102013,x102014,x102012,x102015,x102011))),f158(x102011,x102013)))
% 197.76/197.84 [10281]~P1(f326(f326(f328(f938(f932(x102811),f932(x102811))),f326(f326(f251(f932(x102811),f932(x102811)),x102815),f326(f326(f151(x102811),x102814),x102813))),f158(x102811,x102812)))+P1(f326(f326(f328(f938(f932(x102811),f932(x102811))),f326(f326(f251(f932(x102811),f932(x102811)),f670(x102812,x102813,x102814,x102815,x102811)),x102813)),f158(x102811,x102812)))
% 197.76/197.84 [10472]P1(f326(f326(f328(f938(x104721,x104721)),f326(f326(f251(x104721,x104721),f326(x104722,f326(f326(f79(a931),x104723),x104724))),f326(x104722,x104723))),f306(x104721,x104725)))+~P1(f326(f326(f328(f938(x104721,x104721)),f326(f326(f251(x104721,x104721),f326(x104722,f326(a112,f628(x104724,x104723,x104725,x104722,x104721)))),f326(x104722,f628(x104724,x104723,x104725,x104722,x104721)))),f306(x104721,x104725)))
% 197.76/197.84 [5481]E(x54811,x54812)+~E(f326(f326(f151(x54813),x54814),x54811),f326(f326(f151(x54813),x54815),x54812))
% 197.76/197.84 [5482]E(x54821,x54822)+~E(f326(f326(f151(x54823),x54821),x54824),f326(f326(f151(x54823),x54822),x54825))
% 197.76/197.84 [5530]P1(f326(x55301,x55302))+~E(f326(f136(x55303,x55301),x55304),f326(f326(f151(x55303),x55302),x55305))
% 197.76/197.84 [5531]P1(f326(x55311,x55312))+~E(f326(f326(f151(x55313),x55312),x55314),f326(f136(x55313,x55311),x55315))
% 197.76/197.84 [5689]~E(f326(f326(f138(x56891),x56893),x56892),f326(f326(f151(x56891),x56894),x56895))+E(f326(f326(f164(x56891),x56892),x56893),x56894)
% 197.76/197.84 [5828]~P16(x58284,x58285,x58281)+E(f326(f326(x58281,x58282),f326(f326(x58281,x58282),x58283)),f326(f326(x58281,x58282),x58283))
% 197.76/197.84 [6383]~E(x63834,f2(a99))+E(f326(f326(f117(x63831,x63832,x63833),x63834),x63835),f326(f326(f251(f932(x63832),x63831),f113(x63832)),x63835))
% 197.76/197.84 [6453]~P111(x64532)+~E(f326(f326(f148(x64531,x64532,x64533),x64534),x64535),f113(x64531))
% 197.76/197.84 [6839]E(x68391,x68392)+~E(f326(f326(f134(x68393),x68394),f326(f326(f151(x68393),x68391),f113(x68393))),f326(f326(f134(x68393),x68395),f326(f326(f151(x68393),x68392),f113(x68393))))
% 197.76/197.84 [6840]E(x68401,x68402)+~E(f326(f326(f134(x68403),x68401),f326(f326(f151(x68403),x68404),f113(x68403))),f326(f326(f134(x68403),x68402),f326(f326(f151(x68403),x68405),f113(x68403))))
% 197.76/197.84 [7155]E(f326(f326(f308(x71551),f326(x71552,x71553)),f326(f309(x71554,x71551,x71552),x71555)),f326(f309(x71554,x71551,x71552),x71555))+~P1(f326(f326(f328(x71554),x71553),x71555))
% 197.76/197.84 [7162]~P1(f326(x71624,f326(x71623,x71625)))+P1(f326(f326(f310(x71621,x71622,x71623),x71624),x71625))
% 197.76/197.84 [7165]~P1(f326(f326(x71653,x71655),x71654))+P1(f326(f326(f242(x71651,x71652,x71653),x71654),x71655))
% 197.76/197.84 [7260]~E(f326(f309(x72601,x72602,x72603),x72604),x72605)+E(f326(f309(f939(x72601,a927),f939(x72602,a927),f309(x72601,x72602,x72603)),f326(f307(x72601),x72604)),f326(f307(x72602),x72605))
% 197.76/197.84 [7289]E(f326(f270(x72891,x72892,x72893,x72894),x72895),f326(x72894,x72895))+~P1(f326(f326(f328(x72891),x72895),x72893))
% 197.76/197.84 [7609]P27(x76091,x76092,x76093,x76094)+~P27(x76091,x76092,x76093,f326(f326(f308(x76091),x76095),x76094))
% 197.76/197.84 [7674]P1(f326(x76741,x76742))+~P1(f326(f326(f92(x76743,x76744,x76741),x76745),x76742))
% 197.76/197.84 [7721]~P1(f326(f326(f328(x77214),x77213),x77215))+P1(f326(f326(f328(x77211),f326(x77212,x77213)),f326(f309(x77214,x77211,x77212),x77215)))
% 197.76/197.84 [7742]~P111(x77422)+E(f150(x77421,x77422,x77423,f326(f136(x77421,x77424),x77425)),f326(f136(x77421,x77424),f150(x77421,x77422,x77423,x77425)))
% 197.76/197.84 [7773]P1(f326(x77731,f326(x77732,x77733)))+~P1(f326(f326(f310(x77734,x77735,x77732),x77731),x77733))
% 197.76/197.84 [7776]P1(f326(f326(x77761,x77762),x77763))+~P1(f326(f326(f242(x77764,x77765,x77761),x77763),x77762))
% 197.76/197.84 [7777]P1(f326(f326(x77771,x77772),x77773))+~P1(f326(f326(f92(x77774,x77771,x77775),x77772),x77773))
% 197.76/197.84 [7840]~P1(f326(f326(f328(x78403),f326(x78404,x78402)),x78405))+P1(f326(f326(f328(x78401),x78402),f326(f310(x78401,x78403,x78404),x78405)))
% 197.76/197.84 [8241]~P1(f326(f326(f328(x82415),x82413),f326(f310(x82415,x82411,x82412),x82414)))+P1(f326(f326(f328(x82411),f326(x82412,x82413)),x82414))
% 197.76/197.84 [8542]~P18(x85422,x85421,x85423)+E(f326(f142(x85421,x85422,f326(f9(x85422,x85421,x85421),x85423),x85424),f152(x85422,x85425)),f326(f326(f64(x85422,x85421,x85423),x85424),f326(f172(x85422),x85425)))
% 197.76/197.84 [8564]E(f326(x85641,f498(x85642,x85641,x85643,x85644)),x85644)+~P1(f326(f326(f328(x85645),x85644),f326(f309(x85643,x85645,x85641),x85642)))
% 197.76/197.84 [8866]~E(x88662,f326(f326(f151(x88661),x88664),x88665))+P1(f326(f326(f328(f938(f932(x88661),f932(x88661))),f326(f326(f251(f932(x88661),f932(x88661)),f113(x88661)),x88662)),f147(x88661,x88663)))
% 197.76/197.84 [8912]E(f326(x89121,f326(f91(x89122,x89123,x89124,x89121),x89125)),x89125)+~P1(f326(f326(f328(x89123),x89125),f326(f309(x89122,x89123,x89121),x89124)))
% 197.76/197.84 [8915]P27(x89151,x89152,f91(x89152,x89151,x89153,x89154),x89155)+~P1(f326(f326(f234(f939(x89151,a927)),x89155),f326(f309(x89152,x89151,x89154),x89153)))
% 197.76/197.84 [8922]~P38(x89221,x89223,x89225,x89222,x89224)+E(f326(f189(f932(x89221)),x89222),f326(f189(f932(x89223)),x89224))
% 197.76/197.84 [8933]P1(f326(f326(f234(f939(x89331,a927)),f326(f326(f39(x89332,f939(x89331,a927)),x89333),x89334)),f326(x89334,x89335)))+~P1(f326(f326(f328(x89332),x89335),x89333))
% 197.76/197.84 [8987]~P61(x89871,x89872,x89873,x89875,x89874)+E(f326(f309(x89871,x89872,x89873),f241(f939(x89871,a927))),x89874)
% 197.76/197.84 [9214]E(f326(f136(x92141,x92142),f753(x92143,x92144,x92145,x92142,x92141)),x92143)+~E(f326(f136(x92141,x92142),x92145),f326(f326(f151(x92141),x92144),x92143))
% 197.76/197.84 [9215]E(f326(f136(x92151,x92152),f757(x92153,x92152,x92154,x92155,x92151)),x92154)+~E(f326(f326(f151(x92151),x92155),x92154),f326(f136(x92151,x92152),x92153))
% 197.76/197.84 [9306]E(f326(f189(f932(x93061)),x93062),x93063)+~P1(f326(f326(f328(f938(f932(x93061),f932(x93061))),f326(f326(f251(f932(x93061),f932(x93061)),x93064),x93062)),f326(f143(x93061,x93065),x93063)))
% 197.76/197.84 [9307]E(f326(f189(f932(x93071)),x93072),x93073)+~P1(f326(f326(f328(f938(f932(x93071),f932(x93071))),f326(f326(f251(f932(x93071),f932(x93071)),x93072),x93074)),f326(f143(x93071,x93075),x93073)))
% 197.76/197.84 [9376]P1(f326(f326(f328(x93761),f498(x93762,x93763,x93761,x93764)),x93762))+~P1(f326(f326(f328(x93765),x93764),f326(f309(x93761,x93765,x93763),x93762)))
% 197.76/197.84 [9542]E(f326(f309(x95421,x95422,x95423),f494(x95424,x95423,x95421,x95425,x95422)),x95425)+~P1(f326(f326(f234(f939(x95422,a927)),x95425),f326(f309(x95421,x95422,x95423),x95424)))
% 197.76/197.84 [9853]P1(f326(f326(f328(f938(f932(x98531),f932(x98531))),f326(f326(f251(f932(x98531),f932(x98531)),f326(f326(f151(x98531),x98532),x98533)),f326(f326(f151(x98531),x98532),x98534))),f306(f932(x98531),f157(x98531,x98535))))+~P1(f326(f326(f328(f938(f932(x98531),f932(x98531))),f326(f326(f251(f932(x98531),f932(x98531)),x98533),x98534)),f306(f932(x98531),f157(x98531,x98535))))
% 197.76/197.84 [9886]~E(f326(x98863,f706(x98865,x98864,x98863,x98862,x98861)),f326(x98865,f706(x98865,x98864,x98863,x98862,x98861)))+E(f326(f326(f154(x98861,x98862),x98863),x98864),f326(f326(f154(x98861,x98862),x98865),x98864))
% 197.76/197.84 [9961]~E(f326(f136(x99611,x99615),x99614),f326(f326(f151(x99611),x99613),x99612))+E(f326(f326(f134(x99611),f755(x99612,x99613,x99614,x99615,x99611)),f326(f326(f151(x99611),x99613),f753(x99612,x99613,x99614,x99615,x99611))),x99614)
% 197.76/197.84 [9962]~E(f326(f326(f151(x99621),x99625),x99624),f326(f136(x99621,x99623),x99622))+E(f326(f326(f134(x99621),f758(x99622,x99623,x99624,x99625,x99621)),f326(f326(f151(x99621),x99625),f757(x99622,x99623,x99624,x99625,x99621))),x99622)
% 197.76/197.84 [9966]E(f326(f326(f154(x99661,x99662),x99663),x99664),f326(f326(f154(x99661,x99662),x99665),x99664))+P1(f326(f326(f328(x99661),f706(x99663,x99664,x99665,x99662,x99661)),f326(f172(x99661),x99664)))
% 197.76/197.84 [9996]~P1(f326(f326(f328(x99965),x99964),f326(f284(x99961,x99965,x99963),x99962)))+P1(f326(f326(f328(x99961),f499(x99962,x99963,x99961,x99964,x99965)),x99962))
% 197.76/197.84 [9997]~P1(f326(f326(f328(x99975),x99974),f326(f284(x99971,x99975,x99973),x99972)))+P1(f326(f326(f328(x99971),f540(x99972,x99973,x99971,x99974,x99975)),x99972))
% 197.76/197.84 [10027]~P1(f326(f326(f234(f939(x100275,a927)),x100274),f326(f309(x100271,x100275,x100273),x100272)))+P1(f326(f326(f234(f939(x100271,a927)),f494(x100272,x100273,x100271,x100274,x100275)),x100272))
% 197.76/197.84 [10473]E(x104731,f2(a99))+E(f223(f938(f932(x104732),x104733),f938(x104732,x104733),f326(f326(f251(f932(x104732),x104733),f113(x104732)),x104734),f326(f256(x104732,x104733,f938(f932(x104732),x104733)),f326(f326(f9(x104732,f939(x104733,f938(f932(x104732),x104733)),f939(x104733,f938(f932(x104732),x104733))),f326(f326(f10(f939(f938(f932(x104732),x104733),f938(f932(x104732),x104733)),f939(f939(x104733,f938(f932(x104732),x104733)),f939(x104733,f938(f932(x104732),x104733))),x104732),f10(f938(f932(x104732),x104733),f938(f932(x104732),x104733),x104733)),f326(f326(f10(f939(f932(x104732),f939(x104733,f938(f932(x104732),x104733))),f939(f938(f932(x104732),x104733),f938(f932(x104732),x104733)),x104732),f256(f932(x104732),x104733,f938(f932(x104732),x104733))),f326(f326(f10(f939(f932(x104732),f932(x104732)),f939(f932(x104732),f939(x104733,f938(f932(x104732),x104733))),x104732),f326(f10(f932(x104732),f939(x104733,f938(f932(x104732),x104733)),f932(x104732)),f251(f932(x104732),x104733))),f151(x104732))))),f326(f117(x104733,x104732,x104735),f326(f326(f3(a99),x104731),f77(a99))))),f326(x104735,x104734)),f326(f326(f117(x104733,x104732,x104735),x104731),x104734))
% 197.76/197.84 [6260]E(x62601,x62602)+~E(f326(f255(x62603,x62604),f326(f326(f251(x62603,x62604),x62605),x62601)),x62602)
% 197.76/197.84 [6261]E(x62611,x62612)+~E(f326(f250(x62613,x62614),f326(f326(f251(x62613,x62614),x62611),x62615)),x62612)
% 197.76/197.84 [6526]~E(x65263,f326(f326(f134(x65261),x65264),f326(f326(f151(x65261),x65262),x65265)))+P1(f326(f326(f328(x65261),x65262),f326(f172(x65261),x65263)))
% 197.76/197.84 [6924]E(f326(f309(x69241,x69242,f326(f18(x69242,x69241),x69243)),x69244),f326(f326(f308(x69242),x69243),f188(f939(x69242,a927))))+~P1(f326(f326(f328(x69241),x69245),x69244))
% 197.76/197.84 [6995]E(f326(f326(f110(f939(x69951,a927)),f326(f172(x69951),x69952)),f326(f172(x69951),x69953)),f326(f172(x69951),x69954))+~E(f166(x69951,x69955,x69954),f326(f326(f251(f932(x69951),f932(x69951)),x69952),x69953))
% 197.76/197.84 [7095]~P111(x70952)+E(f326(f189(f932(x70951)),f326(f326(f148(x70951,x70952,x70953),x70954),x70955)),f326(a112,f326(f189(f932(x70951)),x70955)))
% 197.76/197.84 [7109]~P111(x71092)+E(f326(f172(x71091),f326(f326(f148(x71091,x71092,x71093),x71094),x71095)),f326(f326(f308(x71091),x71094),f326(f172(x71091),x71095)))
% 197.76/197.84 [7383]~P115(x73831)+E(f326(f326(f80(x73831),f326(f326(f80(x73831),x73832),x73833)),f326(f326(f80(x73831),x73834),x73835)),f326(f326(f80(x73831),f326(f326(f80(x73831),x73832),x73834)),f326(f326(f80(x73831),x73833),x73835)))
% 197.76/197.84 [7384]~P115(x73841)+E(f326(f326(f79(x73841),f326(f326(f79(x73841),x73842),x73843)),f326(f326(f79(x73841),x73844),x73845)),f326(f326(f79(x73841),f326(f326(f79(x73841),x73842),x73844)),f326(f326(f79(x73841),x73843),x73845)))
% 197.76/197.84 [7385]~P68(x73851)+E(f326(f326(f290(x73851),f326(f326(f80(x73851),x73852),x73853)),f326(f326(f80(x73851),x73854),x73855)),f326(f326(f80(x73851),f326(f326(f290(x73851),x73852),x73854)),f326(f326(f290(x73851),x73853),x73855)))
% 197.76/197.84 [7399]~P111(x73991)+E(f302(x73991,f326(f326(f233(x73991),x73992),x73993),f326(f326(f232(x73991),x73994),x73995)),f326(f326(f101(f939(x73991,a927)),f302(x73991,x73992,x73994)),f302(x73991,x73993,x73995)))
% 197.76/197.84 [7400]~P111(x74001)+E(f305(x74001,f326(f326(f233(x74001),x74002),x74003),f326(f326(f232(x74001),x74004),x74005)),f326(f326(f101(f939(x74001,a927)),f305(x74001,x74002,x74004)),f305(x74001,x74003,x74005)))
% 197.76/197.84 [7401]~P111(x74011)+E(f304(x74011,f326(f326(f233(x74011),x74012),x74013),f326(f326(f232(x74011),x74014),x74015)),f326(f326(f101(f939(x74011,a927)),f304(x74011,x74012,x74014)),f304(x74011,x74013,x74015)))
% 197.76/197.84 [7402]~P111(x74021)+E(f326(f326(f101(f939(x74021,a927)),f326(f301(x74021,x74022),x74023)),f326(f301(x74021,x74024),x74025)),f326(f301(x74021,f326(f326(f233(x74021),x74022),x74024)),f326(f326(f232(x74021),x74023),x74025)))
% 197.76/197.84 [7527]~P1(f326(x75271,f400(x75273,x75272,x75271)))+P1(f326(x75271,f326(f326(f251(x75272,x75273),x75274),x75275)))
% 197.76/197.84 [7641]~E(x76412,f326(x76414,x76415))+P1(f326(f326(f328(x76411),x76412),f326(f309(x76413,x76411,x76414),f241(f939(x76413,a927)))))
% 197.76/197.84 [7718]~P18(x77183,x77182,x77184)+P18(x77181,x77182,f326(f326(f10(x77183,f939(x77182,x77182),x77181),x77184),x77185))
% 197.76/197.84 [7719]~P16(x77193,x77192,x77194)+P16(x77191,x77192,f326(f326(f10(x77193,f939(x77192,x77192),x77191),x77194),x77195))
% 197.76/197.84 [7857]~P27(x78571,x78572,x78573,x78574)+P27(x78571,x78572,x78573,f326(f326(f3(f939(x78571,a927)),x78574),x78575))
% 197.76/197.84 [8012]~P1(f326(f326(x80123,x80124),x80125))+P1(f326(f326(f256(x80121,x80122,a927),x80123),f326(f326(f251(x80121,x80122),x80124),x80125)))
% 197.76/197.84 [8130]~P1(f326(x81302,x81304))+~E(f326(f326(f138(x81301),f326(f189(f932(x81301)),f177(x81301,x81302,x81303))),x81303),f326(f326(f151(x81301),x81304),x81305))
% 197.76/197.84 [8150]P27(x81501,x81502,x81503,x81504)+~P27(x81501,x81502,x81503,f326(f326(f110(f939(x81501,a927)),x81505),x81504))
% 197.76/197.84 [8151]P27(x81511,x81512,x81513,x81514)+~P27(x81511,x81512,x81513,f326(f326(f110(f939(x81511,a927)),x81514),x81515))
% 197.76/197.84 [8199]~P111(x81992)+E(f326(f326(f148(x81991,x81992,x81993),x81994),f150(x81991,x81992,x81993,x81995)),f150(x81991,x81992,x81993,f326(f326(f151(x81991),x81994),x81995)))
% 197.76/197.84 [8519]~P16(x85192,x85191,x85193)+E(f326(f142(x85191,x85192,f326(f9(x85192,x85191,x85191),x85193),x85194),x85195),f326(f326(f64(x85192,x85191,x85193),x85194),f326(f172(x85192),x85195)))
% 197.76/197.84 [8547]~E(f326(f326(f138(x85471),f326(f189(f932(x85471)),f177(x85471,x85472,x85473))),x85473),f326(f326(f151(x85471),x85474),x85475))+E(f326(f326(f134(x85471),f177(x85471,x85472,x85473)),f326(f326(f151(x85471),x85474),x85475)),x85473)
% 197.76/197.84 [8574]P1(f326(f326(x85741,x85742),x85743))+~P1(f326(f326(f256(x85744,x85745,a927),x85741),f326(f326(f251(x85744,x85745),x85742),x85743)))
% 197.76/197.84 [8646]P45(x86464,f390(x86465,x86464,x86463,x86462),x86462,f401(x86465,x86464,x86463,x86462))+P30(x86461,x86462,f326(f326(f326(f90(x86461),x86463),x86464),x86465))
% 197.76/197.84 [9050]P1(f326(f326(f234(f939(x90501,a927)),f326(f309(x90502,x90501,x90503),x90504)),f326(f309(x90502,x90501,x90503),x90505)))+~P1(f326(f326(f234(f939(x90502,a927)),x90504),x90505))
% 197.76/197.84 [9051]P1(f326(f326(f234(f939(x90511,a927)),f326(f310(x90511,x90512,x90513),x90514)),f326(f310(x90511,x90512,x90513),x90515)))+~P1(f326(f326(f234(f939(x90512,a927)),x90514),x90515))
% 197.76/197.84 [9131]E(x91311,f2(a99))+E(f326(f326(f258(x91312,x91313,x91312,f938(x91313,x91312)),f326(x91314,x91315)),f272(x91313,x91312,f326(f326(f3(a99),x91311),f77(a99)),x91314)),f326(f272(x91313,x91312,x91311,x91314),x91315))
% 197.76/197.84 [9239]P1(f326(f326(f254(x92391,x92392,a927,x92393),x92394),x92395))+~P1(f326(x92393,f326(f326(f251(x92391,x92392),x92394),x92395)))
% 197.76/197.84 [9457]P30(x94571,x94572,f326(f326(f326(f90(x94571),x94573),x94574),x94575))+P1(f326(f326(x94573,f381(x94575,x94574,x94573,x94572)),f390(x94575,x94574,x94573,x94572)))
% 197.76/197.84 [9521]~P1(f326(f326(f254(x95212,x95213,a927,x95211),x95214),x95215))+P1(f326(x95211,f326(f326(f251(x95212,x95213),x95214),x95215)))
% 197.76/197.84 [9701]P30(x97011,x97012,f326(f326(f326(f90(x97011),x97013),x97014),x97015))+~P1(f326(f326(x97015,f381(x97015,x97014,x97013,x97012)),f401(x97015,x97014,x97013,x97012)))
% 197.76/197.84 [9704]~P1(f326(f326(f328(x97042),x97045),f326(f309(x97041,x97042,x97044),x97043)))+P1(f326(f326(f328(x97041),f326(f91(x97041,x97042,x97043,x97044),x97045)),x97043))
% 197.76/197.84 [9795]~P1(f326(f61(x97953),f326(f309(x97952,x97953,x97955),f241(f939(x97952,a927)))))+P1(f326(f61(x97951),f326(f309(x97952,x97951,f326(f326(f10(x97953,x97951,x97952),x97954),x97955)),f241(f939(x97952,a927)))))
% 197.76/197.84 [9820]P1(f326(f326(f234(f939(f939(x98201,a927),a927)),f326(f309(f939(x98202,a927),f939(x98201,a927),f309(x98202,x98201,x98203)),f326(f307(x98202),x98204))),f326(f307(x98201),x98205)))+~P1(f326(f326(f234(f939(x98201,a927)),f326(f309(x98202,x98201,x98203),x98204)),x98205))
% 197.76/197.84 [9894]E(x98941,x98942)+~P1(f326(f66(x98943,x98944,x98945,x98941,f188(f939(x98943,a927))),x98942))
% 197.76/197.84 [9910]E(f326(f326(f251(x99101,x99102),f562(x99103,x99104,x99105,x99102,x99101)),f563(x99103,x99104,x99105,x99102,x99101)),x99105)+~P1(f326(f326(f328(f938(x99101,x99102)),x99105),f326(f326(f253(x99101,x99102),x99104),x99103)))
% 197.76/197.84 [10002]P1(f326(f326(f328(x100021),f562(x100022,x100023,x100024,x100025,x100021)),x100023))+~P1(f326(f326(f328(f938(x100021,x100025)),x100024),f326(f326(f253(x100021,x100025),x100023),x100022)))
% 197.76/197.84 [10102]P26(x101025,x101024,f326(f326(f308(f930(x101025)),f326(f326(f326(f90(x101025),x101021),x101023),x101022)),f188(f939(f930(x101025),a927))))+P1(f326(f326(x101021,f491(x101022,x101023,x101024,x101025,x101021)),f492(x101022,x101023,x101024,x101025,x101021)))
% 197.76/197.84 [10158]P1(f326(f326(f328(x101581),f563(x101582,x101583,x101584,x101581,x101585)),f326(x101582,f562(x101582,x101583,x101584,x101581,x101585))))+~P1(f326(f326(f328(f938(x101585,x101581)),x101584),f326(f326(f253(x101585,x101581),x101583),x101582)))
% 197.76/197.84 [10178]P1(f326(f326(f328(f938(x101781,x101781)),f326(f326(f251(x101781,x101781),x101782),f650(x101783,x101784,x101785,x101782,x101781))),x101783))+~P1(f326(f326(f328(f938(x101781,x101781)),f326(f326(f251(x101781,x101781),x101782),x101785)),f326(f326(f183(f938(x101781,x101781),a927),f326(a112,x101784)),x101783)))
% 197.76/197.84 [10179]P1(f326(f326(f328(f938(x101791,x101791)),f326(f326(f251(x101791,x101791),x101792),f651(x101793,x101794,x101795,x101792,x101791))),x101793))+~P1(f326(f326(f328(f938(x101791,x101791)),f326(f326(f251(x101791,x101791),x101792),x101795)),f326(f326(f183(f938(x101791,x101791),a927),f326(a112,x101794)),x101793)))
% 197.76/197.84 [10196]~P1(f326(f326(f328(f938(f932(x101961),f932(x101961))),f326(f326(f251(f932(x101961),f932(x101961)),f326(f326(f151(x101961),x101962),x101965)),x101964)),f158(x101961,x101963)))+P1(f326(f326(f328(f938(x101961,x101961)),f326(f326(f251(x101961,x101961),x101962),f664(x101963,x101964,x101965,x101962,x101961))),x101963))
% 197.76/197.84 [10198]~P26(x101981,x101982,f326(f326(f308(f930(x101981)),f326(f326(f326(f90(x101981),f92(x101981,x101983,x101984)),x101985),x101983)),f188(f939(f930(x101981),a927))))+P26(x101981,x101982,f326(f326(f308(f930(x101981)),f326(f326(f326(f90(x101981),x101983),f29(x101984,x101985)),f92(x101981,x101983,f326(f72(a927,a927,a929,a321),x101984)))),f188(f939(f930(x101981),a927))))
% 197.76/197.84 [10199]~P31(x101991,x101992,f326(f326(f308(f930(x101991)),f326(f326(f326(f90(x101991),f92(x101991,x101993,x101994)),x101995),x101993)),f188(f939(f930(x101991),a927))))+P31(x101991,x101992,f326(f326(f308(f930(x101991)),f326(f326(f326(f90(x101991),x101993),f29(x101994,x101995)),f92(x101991,x101993,f326(f72(a927,a927,a929,a321),x101994)))),f188(f939(f930(x101991),a927))))
% 197.76/197.84 [10499]P26(x104991,x104992,f326(f326(f308(f930(x104991)),f326(f326(f326(f90(x104991),x104993),x104994),x104995)),f188(f939(f930(x104991),a927))))+~P26(x104991,x104992,f326(f326(f308(f930(x104991)),f326(f326(f326(f90(x104991),f326(f18(f939(a929,a927),x104991),f326(f326(f9(a929,a929,a927),a323),f492(x104995,x104994,x104992,x104991,x104993)))),x104994),f326(f18(f939(a929,a927),x104991),f326(x104995,f491(x104995,x104994,x104992,x104991,x104993))))),f188(f939(f930(x104991),a927))))
% 197.76/197.84 [6604]P1(f326(x66042,x66044))+E(f177(x66041,x66042,f326(f326(f134(x66041),x66043),f326(f326(f151(x66041),x66044),x66045))),f177(x66041,x66042,x66043))
% 197.76/197.84 [6652]~P3(x66522)+E(f326(f326(f326(f110(f939(x66521,x66522)),x66523),x66524),x66525),f326(f326(f110(x66522),f326(x66523,x66525)),f326(x66524,x66525)))
% 197.76/197.84 [6654]~P5(x66542)+E(f326(f326(f326(f3(f939(x66541,x66542)),x66543),x66544),x66545),f326(f326(f3(x66542),f326(x66543,x66545)),f326(x66544,x66545)))
% 197.76/197.84 [6656]~P3(x66562)+E(f326(f326(f326(f101(f939(x66561,x66562)),x66563),x66564),x66565),f326(f326(f101(x66562),f326(x66563,x66565)),f326(x66564,x66565)))
% 197.76/197.84 [6675]E(x66751,x66752)+E(f326(f326(f164(x66753),f326(f326(f159(x66753,x66754),x66751),x66755)),x66752),f326(f326(f164(x66753),x66754),x66752))
% 197.76/197.84 [6942]~E(x69424,f188(f939(x69423,a927)))+E(f326(f326(f110(f939(x69421,a927)),x69422),f326(f326(f40(x69423,f939(x69421,a927)),x69424),x69425)),x69422)
% 197.76/197.84 [6943]~E(x69434,f188(f939(x69433,a927)))+E(f326(f326(f3(f939(x69431,a927)),x69432),f326(f326(f40(x69433,f939(x69431,a927)),x69434),x69435)),x69432)
% 197.76/197.84 [6944]~E(x69444,f188(f939(x69443,a927)))+E(f326(f326(f101(f939(x69441,a927)),x69442),f326(f326(f39(x69443,f939(x69441,a927)),x69444),x69445)),x69442)
% 197.76/197.84 [6959]~E(x69594,f188(f939(x69593,a927)))+E(f326(f326(f308(x69591),x69592),f326(f326(f40(x69593,f939(x69591,a927)),x69594),x69595)),f326(f326(f308(x69591),x69592),f188(f939(x69591,a927))))
% 197.76/197.84 [7764]E(f326(f326(f164(x77641),f326(f326(f154(x77642,x77641),x77643),x77644)),x77645),f326(x77643,f326(f326(f164(x77642),x77644),x77645)))+~P1(f326(f326(f235(a931),x77645),f326(f189(f932(x77642)),x77644)))
% 197.76/197.84 [7828]E(f326(f326(f110(f939(x78281,a927)),f326(x78282,x78283)),f326(f326(f40(x78284,f939(x78281,a927)),x78285),x78282)),f326(f326(f40(x78284,f939(x78281,a927)),x78285),x78282))+~P1(f326(f326(f328(x78284),x78283),x78285))
% 197.76/197.84 [7829]E(f326(f326(f101(f939(x78291,a927)),f326(x78292,x78293)),f326(f326(f39(x78294,f939(x78291,a927)),x78295),x78292)),f326(f326(f39(x78294,f939(x78291,a927)),x78295),x78292))+~P1(f326(f326(f328(x78294),x78293),x78295))
% 197.76/197.84 [8442]~E(x84423,f188(f939(x84421,a927)))+E(f326(f326(f40(x84421,f939(x84422,a927)),x84423),f326(f326(f10(f939(x84422,a927),f939(x84422,a927),x84421),f326(f308(x84422),x84424)),x84425)),f188(f939(x84422,a927)))
% 197.76/197.84 [8447]~P1(f326(f326(f328(x84474),x84473),x84475))+P1(f326(f326(f234(f939(x84471,a927)),f326(x84472,x84473)),f326(f326(f40(x84474,f939(x84471,a927)),x84475),x84472)))
% 197.76/197.84 [8573]~E(f326(x85734,x85732),x85735)+P1(f326(f326(f328(x85731),x85732),f326(f310(x85731,x85733,x85734),f326(f326(f308(x85733),x85735),f188(f939(x85733,a927))))))
% 197.76/197.84 [8620]~P59(x86201,x86202,f326(f285(x86202,x86201),x86203))+E(f326(f326(f101(f939(x86201,a927)),f326(f284(x86202,x86201,x86203),x86204)),f326(f284(x86202,x86201,x86203),x86205)),f326(f284(x86202,x86201,x86203),f326(f326(f101(f939(x86202,a927)),x86204),x86205)))
% 197.76/197.84 [8695]E(x86951,f2(a99))+E(f326(f118(x86952,x86953,f326(x86954,f326(f326(f3(a99),x86951),f77(a99)))),f326(f326(f9(x86952,a99,f933(x86953)),x86955),x86951)),f326(f198(x86952,x86953,x86954,x86955),x86951))
% 197.76/197.84 [8733]E(x87331,f188(f939(x87332,a927)))+E(f326(f326(f40(x87332,f939(x87333,a927)),x87331),f326(f326(f10(f939(x87333,a927),f939(x87333,a927),x87332),f326(f308(x87333),x87334)),x87335)),f326(f326(f308(x87333),x87334),f326(f326(f40(x87332,f939(x87333,a927)),x87331),x87335)))
% 197.76/197.84 [8784]~P27(x87842,x87841,x87843,f241(f939(x87842,a927)))+E(f326(f326(f3(f939(x87841,a927)),f326(f309(x87842,x87841,x87843),x87844)),f326(f309(x87842,x87841,x87843),x87845)),f326(f309(x87842,x87841,x87843),f326(f326(f3(f939(x87842,a927)),x87844),x87845)))
% 197.76/197.84 [8785]~P27(x87852,x87851,x87853,f241(f939(x87852,a927)))+E(f326(f326(f101(f939(x87851,a927)),f326(f309(x87852,x87851,x87853),x87854)),f326(f309(x87852,x87851,x87853),x87855)),f326(f309(x87852,x87851,x87853),f326(f326(f101(f939(x87852,a927)),x87854),x87855)))
% 197.76/197.84 [8853]~P1(f326(f326(f67(x88531,x88532,x88535),x88533),x88534))+P1(f326(f326(f328(f938(x88531,x88532)),f326(f326(f251(x88531,x88532),x88533),x88534)),x88535))
% 197.76/197.84 [8885]P1(f326(f326(f328(x88851),x88852),f326(f283(x88853,x88851),x88854)))+~P1(f326(f326(f328(f938(x88853,x88851)),f326(f326(f251(x88853,x88851),x88855),x88852)),x88854))
% 197.76/197.84 [8887]P1(f326(f326(f328(x88871),x88872),f326(f263(x88871,x88873),x88874)))+~P1(f326(f326(f328(f938(x88871,x88873)),f326(f326(f251(x88871,x88873),x88872),x88875)),x88874))
% 197.76/197.84 [9034]P1(f326(f326(f67(x90341,x90342,x90343),x90344),x90345))+~P1(f326(f326(f328(f938(x90341,x90342)),f326(f326(f251(x90341,x90342),x90344),x90345)),x90343))
% 197.76/197.84 [9073]E(f326(x90731,x90732),x90733)+~P1(f326(f326(f328(x90734),x90732),f326(f310(x90734,x90735,x90731),f326(f326(f308(x90735),x90733),f188(f939(x90735,a927))))))
% 197.76/197.84 [9303]P1(f326(f326(f328(f938(x93031,x93032)),f326(f326(f251(x93031,x93032),x93033),x93034)),f326(f285(x93032,x93031),x93035)))+~P1(f326(f326(f328(f938(x93032,x93031)),f326(f326(f251(x93032,x93031),x93034),x93033)),x93035))
% 197.76/197.84 [9321]~P1(f326(f326(x93211,x93215),x93214))+P1(f326(f326(x93211,f326(f255(x93212,x93213),f326(f326(f251(x93212,x93213),x93214),x93215))),f326(f250(x93212,x93213),f326(f326(f251(x93212,x93213),x93214),x93215))))
% 197.76/197.84 [9351]~P1(f326(f326(f328(f938(x93512,x93511)),f326(f326(f251(x93512,x93511),x93514),x93513)),f326(f285(x93511,x93512),x93515)))+P1(f326(f326(f328(f938(x93511,x93512)),f326(f326(f251(x93511,x93512),x93513),x93514)),x93515))
% 197.76/197.84 [9383]~P1(f326(f326(f328(f938(x93833,x93831)),f326(f326(f251(x93833,x93831),x93835),x93832)),x93834))+P1(f326(f326(f328(x93831),x93832),f326(f284(x93833,x93831,x93834),f326(f326(f308(x93833),x93835),f188(f939(x93833,a927))))))
% 197.76/197.84 [9438]P1(f326(f326(f328(f938(x94381,x94382)),f326(f326(f251(x94381,x94382),x94383),x94384)),x94385))+~P1(f326(f326(f328(x94382),x94384),f326(f284(x94381,x94382,x94385),f326(f326(f308(x94381),x94383),f188(f939(x94381,a927))))))
% 197.76/197.84 [9528]~P79(x95281)+E(f326(f326(f8(a931,x95281),x95282),f302(a931,f326(f326(f79(a931),x95283),x95284),f326(f326(f79(a931),x95285),x95284))),f326(f326(f8(a931,x95281),f326(f326(f10(a931,x95281,a931),x95282),f326(f326(f9(a931,a931,a931),f79(a931)),x95284))),f302(a931,x95283,x95285)))
% 197.76/197.84 [9547]~P79(x95471)+E(f326(f326(f8(a931,x95471),x95472),f326(f301(a931,f326(f326(f79(a931),x95473),x95474)),f326(f326(f79(a931),x95475),x95474))),f326(f326(f8(a931,x95471),f326(f326(f10(a931,x95471,a931),x95472),f326(f326(f9(a931,a931,a931),f79(a931)),x95474))),f326(f301(a931,x95473),x95475)))
% 197.76/197.84 [9603]~P27(x96031,x96032,x96033,f241(f939(x96031,a927)))+E(f326(f326(f154(x96031,x96032),x96033),f326(f136(x96031,f326(f326(f10(a927,a927,x96031),a321),f326(a323,x96034))),x96035)),f326(f136(x96032,f326(f326(f10(a927,a927,x96032),a321),f326(a323,f326(x96033,x96034)))),f326(f326(f154(x96031,x96032),x96033),x96035)))
% 197.76/197.84 [9621]~P27(x96211,x96212,x96213,f326(f326(f308(x96211),x96214),f326(f172(x96211),x96215)))+E(f326(f326(f154(x96211,x96212),x96213),f326(f136(x96211,f326(f326(f10(a927,a927,x96211),a321),f326(a323,x96214))),x96215)),f326(f136(x96212,f326(f326(f10(a927,a927,x96212),a321),f326(a323,f326(x96213,x96214)))),f326(f326(f154(x96211,x96212),x96213),x96215)))
% 197.76/197.84 [9783]P1(f326(f326(f328(f938(f932(x97831),f932(x97831))),f326(f326(f251(f932(x97831),f932(x97831)),f326(f326(f151(x97831),x97832),x97833)),f326(f326(f151(x97831),x97834),x97833))),f157(x97831,x97835)))+~P1(f326(f326(f328(f938(x97831,x97831)),f326(f326(f251(x97831,x97831),x97832),x97834)),x97835))
% 197.76/197.84 [9905]E(f326(f326(f308(x99051),f621(x99052,x99053,x99054,x99055,x99051)),f631(x99052,x99053,x99054,x99055,x99051)),f326(f326(f308(x99051),x99054),x99053))+~P1(f326(f62(x99051,x99055,f326(f326(f308(x99051),x99054),x99053)),x99052))
% 197.76/197.84 [9906]E(f326(f326(f308(x99061),f643(x99062,x99063,x99064,x99065,x99061)),f657(x99062,x99063,x99064,x99065,x99061)),f326(f326(f308(x99061),x99064),x99063))+~P1(f326(f62(x99061,x99065,f326(f326(f308(x99061),x99064),x99063)),x99062))
% 197.76/197.84 [9987]P1(f326(f326(f328(x99871),f441(x99872,x99873,x99874,x99875,x99871)),x99874))+P1(f326(f326(f326(f39(x99871,f939(x99875,a927)),x99874),x99873),x99872))
% 197.76/197.84 [9992]P1(f326(f326(f328(x99921),f432(x99922,x99923,x99921,x99924,x99925)),x99923))+P1(f326(f326(f328(x99925),x99924),f326(f326(f39(x99921,f939(x99925,a927)),x99923),x99922)))
% 197.76/197.84 [10000]P1(f326(f326(f328(x100001),f430(x100002,x100003,x100001,x100004,x100005)),x100003))+P1(f326(f326(f234(f939(x100005,a927)),x100004),f326(f326(f39(x100001,f939(x100005,a927)),x100003),x100002)))
% 197.76/197.84 [10001]P1(f326(f326(f328(x100011),f843(x100012,x100013,x100014,x100015,x100011)),x100015))+P1(f326(f326(f234(f939(x100014,a927)),x100013),f326(f326(f39(x100011,f939(x100014,a927)),x100015),x100012)))
% 197.76/197.84 [10003]P1(f326(f326(x100031,f485(x100032,x100031,x100033,x100034,x100035)),x100032))+~P1(f326(f326(f326(f40(x100035,f939(x100034,a927)),x100033),x100031),x100032))
% 197.76/197.84 [10007]P1(f326(f326(f328(x100071),f485(x100072,x100073,x100074,x100075,x100071)),x100074))+~P1(f326(f326(f326(f40(x100071,f939(x100075,a927)),x100074),x100073),x100072))
% 197.76/197.84 [10008]P57(x100084,f326(f326(f39(x100081,f939(x100084,a927)),x100085),x100083),f326(f326(f39(x100081,f939(f938(x100084,x100084),a927)),x100085),x100082))+P1(f326(f326(f328(x100081),f787(x100082,x100083,x100084,x100085,x100081)),x100085))
% 197.76/197.84 [10009]P57(x100094,f326(f326(f40(x100091,f939(x100094,a927)),x100095),x100093),f326(f326(f40(x100091,f939(f938(x100094,x100094),a927)),x100095),x100092))+P1(f326(f326(f328(x100091),f839(x100092,x100093,x100094,x100095,x100091)),x100095))
% 197.76/197.84 [10019]P1(f326(f326(f328(x100191),f478(x100192,x100193,x100191,x100194,x100195)),x100193))+~P1(f326(f326(f328(x100195),x100194),f326(f326(f40(x100191,f939(x100195,a927)),x100193),x100192)))
% 197.76/197.84 [10025]P1(f326(f326(f328(x100251),x100252),f326(x100253,f478(x100253,x100254,x100255,x100252,x100251))))+~P1(f326(f326(f328(x100251),x100252),f326(f326(f40(x100255,f939(x100251,a927)),x100254),x100253)))
% 197.76/197.84 [10107]~P1(f326(f326(x101074,f441(x101075,x101074,x101073,x101072,x101071)),x101075))+P1(f326(f326(f326(f39(x101071,f939(x101072,a927)),x101073),x101074),x101075))
% 197.76/197.84 [10110]~P1(f326(f326(f328(x101101),x101102),f326(x101105,f432(x101105,x101104,x101103,x101102,x101101))))+P1(f326(f326(f328(x101101),x101102),f326(f326(f39(x101103,f939(x101101,a927)),x101104),x101105)))
% 197.76/197.84 [10114]~P57(x101141,f326(x101144,f787(x101145,x101144,x101141,x101143,x101142)),f326(x101145,f787(x101145,x101144,x101141,x101143,x101142)))+P57(x101141,f326(f326(f39(x101142,f939(x101141,a927)),x101143),x101144),f326(f326(f39(x101142,f939(f938(x101141,x101141),a927)),x101143),x101145))
% 197.76/197.84 [10115]~P57(x101151,f326(x101154,f839(x101155,x101154,x101151,x101153,x101152)),f326(x101155,f839(x101155,x101154,x101151,x101153,x101152)))+P57(x101151,f326(f326(f40(x101152,f939(x101151,a927)),x101153),x101154),f326(f326(f40(x101152,f939(f938(x101151,x101151),a927)),x101153),x101155))
% 197.76/197.84 [10116]~P1(f326(f326(f234(f939(x101161,a927)),x101162),f326(x101165,f430(x101165,x101164,x101163,x101162,x101161))))+P1(f326(f326(f234(f939(x101161,a927)),x101162),f326(f326(f39(x101163,f939(x101161,a927)),x101164),x101165)))
% 197.76/197.84 [10117]~P1(f326(f326(f234(f939(x101171,a927)),x101172),f326(x101175,f843(x101175,x101172,x101171,x101174,x101173))))+P1(f326(f326(f234(f939(x101171,a927)),x101172),f326(f326(f39(x101173,f939(x101171,a927)),x101174),x101175)))
% 197.76/197.84 [10182]~P1(f326(f326(f328(x101821),f621(x101825,x101824,x101823,x101822,x101821)),f631(x101825,x101824,x101823,x101822,x101821)))+~P1(f326(f62(x101821,x101822,f326(f326(f308(x101821),x101823),x101824)),x101825))
% 197.76/197.84 [10183]~P1(f326(f326(f328(x101831),f643(x101835,x101834,x101833,x101832,x101831)),f657(x101835,x101834,x101833,x101832,x101831)))+~P1(f326(f62(x101831,x101832,f326(f326(f308(x101831),x101833),x101834)),x101835))
% 197.76/197.84 [10184]~P1(f326(f326(f328(f938(x101841,x101841)),f326(f326(f251(x101841,x101841),x101842),x101845)),f326(f326(f183(f938(x101841,x101841),a927),f326(a112,x101844)),x101843)))+P1(f326(f326(f328(f938(x101841,x101841)),f326(f326(f251(x101841,x101841),x101842),f652(x101843,x101844,x101845,x101842,x101841))),f326(f326(f183(f938(x101841,x101841),a927),x101844),x101843)))
% 197.76/197.84 [10190]P1(f326(f66(x101901,x101901,x101902,f621(x101903,x101904,x101905,x101902,x101901),f631(x101903,x101904,x101905,x101902,x101901)),x101903))+~P1(f326(f62(x101901,x101902,f326(f326(f308(x101901),x101905),x101904)),x101903))
% 197.76/197.84 [10191]P1(f326(f66(x101911,x101911,x101912,f643(x101913,x101914,x101915,x101912,x101911),f657(x101913,x101914,x101915,x101912,x101911)),x101913))+~P1(f326(f62(x101911,x101912,f326(f326(f308(x101911),x101915),x101914)),x101913))
% 197.76/197.84 [10203]~P111(x102031)+P15(x102031,f326(f326(f154(x102032,x102031),x102033),f326(f136(x102032,f326(f326(f9(x102032,x102031,a927),f326(f326(f10(x102031,f939(x102031,a927),x102032),a323),x102033)),f326(x102034,x102035))),x102035)))
% 197.76/197.84 [10253]~P1(f326(f326(f328(x102532),x102535),f326(f284(x102531,x102532,x102534),x102533)))+P1(f326(f326(f328(f938(x102531,x102532)),f326(f326(f251(x102531,x102532),f499(x102533,x102534,x102531,x102535,x102532)),x102535)),x102534))
% 197.76/197.84 [10254]~P1(f326(f326(f328(x102542),x102545),f326(f284(x102541,x102542,x102544),x102543)))+P1(f326(f326(f328(f938(x102541,x102542)),f326(f326(f251(x102541,x102542),f540(x102543,x102544,x102541,x102545,x102542)),x102545)),x102544))
% 197.76/197.84 [10274]~P1(f326(f326(f328(f938(x102741,x102741)),f326(f326(f251(x102741,x102741),x102745),x102744)),f326(f326(f183(f938(x102741,x102741),a927),f326(a112,x102743)),x102742)))+P1(f326(f326(f328(f938(x102741,x102741)),f326(f326(f251(x102741,x102741),f652(x102742,x102743,x102744,x102745,x102741)),x102744)),x102742))
% 197.76/197.84 [10277]~P1(f326(f326(f328(f938(x102771,x102771)),f326(f326(f251(x102771,x102771),x102775),x102774)),f326(f326(f183(f938(x102771,x102771),a927),f326(a112,x102773)),x102772)))+P1(f326(f326(f328(f938(x102771,x102771)),f326(f326(f251(x102771,x102771),f650(x102772,x102773,x102774,x102775,x102771)),x102774)),f326(f326(f183(f938(x102771,x102771),a927),x102773),x102772)))
% 197.76/197.84 [10278]~P1(f326(f326(f328(f938(x102781,x102781)),f326(f326(f251(x102781,x102781),x102785),x102784)),f326(f326(f183(f938(x102781,x102781),a927),f326(a112,x102783)),x102782)))+P1(f326(f326(f328(f938(x102781,x102781)),f326(f326(f251(x102781,x102781),f651(x102782,x102783,x102784,x102785,x102781)),x102784)),f326(f326(f183(f938(x102781,x102781),a927),x102783),x102782)))
% 197.76/197.84 [10279]~P1(f326(f326(f328(f938(f932(x102791),f932(x102791))),f326(f326(f251(f932(x102791),f932(x102791)),x102795),f326(f326(f151(x102791),x102794),x102793))),f158(x102791,x102792)))+P1(f326(f326(f328(f938(x102791,x102791)),f326(f326(f251(x102791,x102791),f668(x102792,x102793,x102794,x102795,x102791)),x102794)),x102792))
% 197.76/197.84 [7849]~E(x78493,f188(f939(x78492,a927)))+E(f326(f326(f110(f939(x78491,a927)),f326(f326(f40(x78492,f939(x78491,a927)),x78493),x78494)),x78495),x78495)
% 197.76/197.84 [7850]~E(x78503,f188(f939(x78502,a927)))+E(f326(f326(f101(f939(x78501,a927)),f326(f326(f39(x78502,f939(x78501,a927)),x78503),x78504)),x78505),x78505)
% 197.76/197.84 [8283]~E(x82833,f188(f939(x82832,a927)))+E(f326(f326(f3(f939(x82831,a927)),f326(f326(f39(x82832,f939(x82831,a927)),x82833),x82834)),x82835),f326(f326(f3(f939(x82831,a927)),f241(f939(x82831,a927))),x82835))
% 197.76/197.84 [8416]E(f326(f326(f159(x84161,f326(f326(f134(x84161),x84162),x84163)),x84164),x84165),f326(f326(f134(x84161),f326(f326(f159(x84161,x84162),x84164),x84165)),x84163))+~P1(f326(f326(f235(a931),x84164),f326(f189(f932(x84161)),x84162)))
% 197.76/197.84 [8685]E(f326(f326(f164(x86851),f326(f326(f154(a931,x86851),x86852),f139(a931,f326(f301(a931,x86853),x86854)))),x86855),f326(x86852,f326(f326(f79(a931),x86853),x86855)))+~P1(f326(f326(f235(a931),x86855),f326(f326(f3(a931),x86854),x86853)))
% 197.76/197.84 [8699]E(x86991,f2(a99))+E(f122(x86992,x86993,f326(x86994,f326(f326(f3(a99),x86991),f77(a99))),f326(f326(f9(x86992,a99,f933(f935(x86993))),x86995),x86991)),f326(f196(x86992,x86993,x86994,x86995),x86991))
% 197.76/197.84 [8723]~E(x87233,f188(f939(x87231,a927)))+E(f326(f326(f39(x87231,f939(x87232,a927)),x87233),f326(f326(f10(f939(x87232,a927),f939(x87232,a927),x87231),f326(f3(f939(x87232,a927)),x87234)),x87235)),f241(f939(x87232,a927)))
% 197.76/197.84 [8724]~E(x87243,f188(f939(x87241,a927)))+E(f326(f326(f39(x87241,f939(x87242,a927)),x87243),f326(f326(f10(f939(x87242,a927),f939(x87242,a927),x87241),f326(f101(f939(x87242,a927)),x87244)),x87245)),f241(f939(x87242,a927)))
% 197.76/197.84 [8725]~E(x87253,f188(f939(x87251,a927)))+E(f326(f326(f40(x87251,f939(x87252,a927)),x87253),f326(f326(f10(f939(x87252,a927),f939(x87252,a927),x87251),f326(f110(f939(x87252,a927)),x87254)),x87255)),f188(f939(x87252,a927)))
% 197.76/197.84 [8727]~P149(x87272)+E(f326(f326(f8(x87271,x87272),f326(f326(f10(x87272,x87272,x87271),f326(f80(x87272),x87273)),x87274)),x87275),f326(f326(f80(x87272),x87273),f326(f326(f8(x87271,x87272),x87274),x87275)))
% 197.76/197.84 [9018]E(x90181,f188(f939(x90182,a927)))+E(f326(f326(f39(x90182,f939(x90183,a927)),x90181),f326(f326(f10(f939(x90183,a927),f939(x90183,a927),x90182),f326(f3(f939(x90183,a927)),x90184)),x90185)),f326(f326(f3(f939(x90183,a927)),x90184),f326(f326(f40(x90182,f939(x90183,a927)),x90181),x90185)))
% 197.76/197.84 [9019]E(x90191,f188(f939(x90192,a927)))+E(f326(f326(f39(x90192,f939(x90193,a927)),x90191),f326(f326(f10(f939(x90193,a927),f939(x90193,a927),x90192),f326(f101(f939(x90193,a927)),x90194)),x90195)),f326(f326(f101(f939(x90193,a927)),x90194),f326(f326(f39(x90192,f939(x90193,a927)),x90191),x90195)))
% 197.76/197.84 [9020]E(x90201,f188(f939(x90202,a927)))+E(f326(f326(f40(x90202,f939(x90203,a927)),x90201),f326(f326(f10(f939(x90203,a927),f939(x90203,a927),x90202),f326(f110(f939(x90203,a927)),x90204)),x90205)),f326(f326(f110(f939(x90203,a927)),x90204),f326(f326(f40(x90202,f939(x90203,a927)),x90201),x90205)))
% 197.76/197.84 [9221]~P1(f326(f326(f235(a931),f326(x92214,x92212)),f326(x92214,x92213)))+P1(f326(f326(f328(f938(x92211,x92211)),f326(f326(f251(x92211,x92211),x92212),x92213)),f153(x92211,f326(f326(f151(f939(x92211,a931)),x92214),x92215))))
% 197.76/197.84 [9494]~P27(x94942,x94941,x94943,f326(f326(f110(f939(x94942,a927)),x94944),x94945))+E(f326(f326(f101(f939(x94941,a927)),f326(f309(x94942,x94941,x94943),f326(f326(f3(f939(x94942,a927)),x94944),x94945))),f326(f309(x94942,x94941,x94943),f326(f326(f3(f939(x94942,a927)),x94945),x94944))),f188(f939(x94941,a927)))
% 197.76/197.84 [9748]~P27(x97483,x97481,x97485,f241(f939(x97483,a927)))+E(f326(f72(x97481,x97482,x97483,f326(f72(x97483,x97482,x97481,x97484),f91(x97483,x97481,f241(f939(x97483,a927)),x97485))),x97485),x97484)
% 197.76/197.84 [9779]~P1(f326(f326(f234(f939(x97793,a927)),f326(f284(x97791,x97793,x97794),x97792)),x97795))+P1(f326(f326(f234(f939(x97791,a927)),x97792),f326(f78(f939(x97791,a927)),f326(f284(x97793,x97791,f326(f285(x97791,x97793),x97794)),f326(f78(f939(x97793,a927)),x97795)))))
% 197.76/197.84 [9804]~P27(x98041,x98042,x98043,f326(f326(f308(x98041),x98044),x98045))+~P1(f326(f326(f328(x98042),f326(x98043,x98044)),f326(f309(x98041,x98042,x98043),f326(f326(f3(f939(x98041,a927)),x98045),f326(f326(f308(x98041),x98044),f188(f939(x98041,a927)))))))
% 197.76/197.84 [9857]P1(f326(f326(f234(f939(x98571,a927)),f326(f284(x98572,x98571,x98573),x98574)),x98575))+~P1(f326(f326(f234(f939(x98572,a927)),x98574),f326(f78(f939(x98572,a927)),f326(f284(x98571,x98572,f326(f285(x98572,x98571),x98573)),f326(f78(f939(x98571,a927)),x98575)))))
% 197.76/197.84 [9932]~P89(x99321)+P1(f326(f326(f234(x99321),f326(f75(x99321),f326(f326(f3(x99321),f326(f326(f79(x99321),x99322),x99323)),f326(f326(f79(x99321),x99324),x99325)))),f326(f326(f79(x99321),f326(f75(x99321),f326(f326(f3(x99321),x99322),x99324))),f326(f75(x99321),f326(f326(f3(x99321),x99323),x99325)))))
% 197.76/197.84 [10040]P1(f326(f326(f328(x100401),f482(x100402,x100403,x100404,x100401,x100405)),x100404))+P1(f326(f326(f234(f939(x100405,a927)),f326(f326(f40(x100401,f939(x100405,a927)),x100404),x100403)),x100402))
% 197.76/197.84 [10221]~P1(f326(f326(f234(f939(x102211,a927)),f326(x102214,f482(x102215,x102214,x102213,x102212,x102211))),x102215))+P1(f326(f326(f234(f939(x102211,a927)),f326(f326(f40(x102212,f939(x102211,a927)),x102213),x102214)),x102215))
% 197.76/197.84 [8832]E(f326(f326(f134(x88321),x88322),f326(f326(f159(x88321,x88323),f326(f326(f3(a931),x88324),f326(f189(f932(x88321)),x88322))),x88325)),f326(f326(f159(x88321,f326(f326(f134(x88321),x88322),x88323)),x88324),x88325))+P1(f326(f326(f235(a931),x88324),f326(f189(f932(x88321)),x88322)))
% 197.76/197.84 [8860]~P143(x88601)+E(f326(f326(f79(x88601),f326(f326(f80(x88601),x88602),x88603)),f326(f326(f79(x88601),f326(f326(f80(x88601),x88604),x88603)),x88605)),f326(f326(f79(x88601),f326(f326(f80(x88601),f326(f326(f79(x88601),x88602),x88604)),x88603)),x88605))
% 197.76/197.84 [9447]~P149(x94471)+E(f326(f165(x94471),f326(f326(f154(x94472,x94471),f326(f326(f10(x94471,x94471,x94472),f326(f80(x94471),x94473)),x94474)),x94475)),f326(f326(f80(x94471),x94473),f326(f165(x94471),f326(f326(f154(x94472,x94471),x94474),x94475))))
% 197.76/197.84 [9620]E(f326(f189(f932(x96201)),f326(f326(f175(x96201),f326(f326(f232(a931),f326(f189(f932(x96201)),x96202)),f326(f189(f932(x96203)),x96204))),x96202)),f326(f189(f932(x96203)),f326(f326(f175(x96203),f326(f326(f232(a931),f326(f189(f932(x96201)),x96202)),f326(f189(f932(x96203)),x96204))),x96204)))+P1(f326(x96205,f326(f326(f181(x96201,x96203),x96202),x96204)))
% 197.76/197.84 [9868]~P149(x98682)+E(f326(f326(f8(x98681,x98682),f326(f326(f9(x98681,x98682,x98682),f326(f326(f10(x98682,f939(x98682,x98682),x98681),f80(x98682)),x98683)),x98684)),x98685),f326(f326(f80(x98682),f326(f326(f8(x98681,x98682),x98683),x98685)),x98684))
% 197.76/197.84 [9869]~P69(x98692)+E(f326(f326(f8(x98691,x98692),f326(f326(f9(x98691,x98692,x98692),f326(f326(f10(x98692,f939(x98692,x98692),x98691),f290(x98692)),x98693)),x98694)),x98695),f326(f326(f290(x98692),f326(f326(f8(x98691,x98692),x98693),x98695)),x98694))
% 197.76/197.84 [9877]~P72(x98772)+E(f326(f326(f8(x98771,x98772),f326(f326(f20(x98771,x98772,x98772),f326(f326(f10(x98772,f939(x98772,x98772),x98771),f3(x98772)),x98773)),x98774)),x98775),f326(f326(f3(x98772),f326(f326(f8(x98771,x98772),x98773),x98775)),f326(f326(f8(x98771,x98772),x98774),x98775)))
% 197.76/197.84 [9878]~P79(x98782)+E(f326(f326(f8(x98781,x98782),f326(f326(f20(x98781,x98782,x98782),f326(f326(f10(x98782,f939(x98782,x98782),x98781),f79(x98782)),x98783)),x98784)),x98785),f326(f326(f79(x98782),f326(f326(f8(x98781,x98782),x98783),x98785)),f326(f326(f8(x98781,x98782),x98784),x98785)))
% 197.76/197.84 [9879]~P75(x98792)+E(f326(f326(f11(x98791,x98792),f326(f326(f20(x98791,x98792,x98792),f326(f326(f10(x98792,f939(x98792,x98792),x98791),f80(x98792)),x98793)),x98794)),x98795),f326(f326(f80(x98792),f326(f326(f11(x98791,x98792),x98793),x98795)),f326(f326(f11(x98791,x98792),x98794),x98795)))
% 197.76/197.84 [9917]~E(x99173,f188(f939(x99171,a927)))+E(f326(f326(f39(x99171,f939(x99172,a927)),x99173),f326(f326(f9(x99171,f939(x99172,a927),f939(x99172,a927)),f326(f326(f10(f939(x99172,a927),f939(f939(x99172,a927),f939(x99172,a927)),x99171),f3(f939(x99172,a927))),x99174)),x99175)),f241(f939(x99172,a927)))
% 197.76/197.84 [9918]~E(x99183,f188(f939(x99181,a927)))+E(f326(f326(f39(x99181,f939(x99182,a927)),x99183),f326(f326(f9(x99181,f939(x99182,a927),f939(x99182,a927)),f326(f326(f10(f939(x99182,a927),f939(f939(x99182,a927),f939(x99182,a927)),x99181),f101(f939(x99182,a927))),x99184)),x99185)),f241(f939(x99182,a927)))
% 197.76/197.84 [9919]~E(x99193,f188(f939(x99191,a927)))+E(f326(f326(f40(x99191,f939(x99192,a927)),x99193),f326(f326(f9(x99191,f939(x99192,a927),f939(x99192,a927)),f326(f326(f10(f939(x99192,a927),f939(f939(x99192,a927),f939(x99192,a927)),x99191),f110(f939(x99192,a927))),x99194)),x99195)),f188(f939(x99192,a927)))
% 197.76/197.84 [9940]E(x99401,f188(f939(x99402,a927)))+E(f326(f326(f39(x99402,f939(x99403,a927)),x99401),f326(f326(f9(x99402,f939(x99403,a927),f939(x99403,a927)),f326(f326(f10(f939(x99403,a927),f939(f939(x99403,a927),f939(x99403,a927)),x99402),f3(f939(x99403,a927))),x99404)),x99405)),f326(f326(f3(f939(x99403,a927)),f326(f326(f39(x99402,f939(x99403,a927)),x99401),x99404)),x99405))
% 197.76/197.84 [9941]E(x99411,f188(f939(x99412,a927)))+E(f326(f326(f39(x99412,f939(x99413,a927)),x99411),f326(f326(f9(x99412,f939(x99413,a927),f939(x99413,a927)),f326(f326(f10(f939(x99413,a927),f939(f939(x99413,a927),f939(x99413,a927)),x99412),f101(f939(x99413,a927))),x99414)),x99415)),f326(f326(f101(f939(x99413,a927)),f326(f326(f39(x99412,f939(x99413,a927)),x99411),x99414)),x99415))
% 197.76/197.84 [9942]E(x99421,f188(f939(x99422,a927)))+E(f326(f326(f40(x99422,f939(x99423,a927)),x99421),f326(f326(f9(x99422,f939(x99423,a927),f939(x99423,a927)),f326(f326(f10(f939(x99423,a927),f939(f939(x99423,a927),f939(x99423,a927)),x99422),f110(f939(x99423,a927))),x99424)),x99425)),f326(f326(f110(f939(x99423,a927)),f326(f326(f40(x99422,f939(x99423,a927)),x99421),x99424)),x99425))
% 197.76/197.84 [9499]~P1(f326(f326(f234(a931),x94991),x94994))+E(f326(f326(f3(a931),f326(f326(f79(a931),f326(f326(f80(a931),x94991),x94992)),x94993)),f326(f326(f79(a931),f326(f326(f80(a931),x94994),x94992)),x94995)),f326(f326(f3(a931),x94993),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x94994),x94991)),x94992)),x94995)))
% 197.76/197.84 [10089]~P149(x100891)+E(f326(f165(x100891),f326(f326(f154(x100892,x100891),f326(f326(f9(x100892,x100891,x100891),f326(f326(f10(x100891,f939(x100891,x100891),x100892),f80(x100891)),x100893)),x100894)),x100895)),f326(f326(f80(x100891),f326(f165(x100891),f326(f326(f154(x100892,x100891),x100893),x100895))),x100894))
% 197.76/197.84 [10095]~P72(x100951)+E(f326(f165(x100951),f326(f326(f154(x100952,x100951),f326(f326(f20(x100952,x100951,x100951),f326(f326(f10(x100951,f939(x100951,x100951),x100952),f3(x100951)),x100953)),x100954)),x100955)),f326(f326(f3(x100951),f326(f165(x100951),f326(f326(f154(x100952,x100951),x100953),x100955))),f326(f165(x100951),f326(f326(f154(x100952,x100951),x100954),x100955))))
% 197.76/197.84 [10096]~P79(x100961)+E(f326(f165(x100961),f326(f326(f154(x100962,x100961),f326(f326(f20(x100962,x100961,x100961),f326(f326(f10(x100961,f939(x100961,x100961),x100962),f79(x100961)),x100963)),x100964)),x100965)),f326(f326(f79(x100961),f326(f165(x100961),f326(f326(f154(x100962,x100961),x100963),x100965))),f326(f165(x100961),f326(f326(f154(x100962,x100961),x100964),x100965))))
% 197.76/197.84 [10245]P1(f326(x102451,f326(f326(f181(x102452,x102453),x102454),x102455)))+~P1(f326(x102451,f326(f326(f181(x102452,x102453),f326(f326(f175(x102452),f326(f326(f232(a931),f326(f189(f932(x102452)),x102454)),f326(f189(f932(x102453)),x102455))),x102454)),f326(f326(f175(x102453),f326(f326(f232(a931),f326(f189(f932(x102452)),x102454)),f326(f189(f932(x102453)),x102455))),x102455))))
% 197.76/197.84 [10509]~P1(f326(f326(f328(f938(x105092,x105091)),f326(f326(f251(x105092,x105091),x105094),x105095)),f326(f285(x105091,x105092),x105093)))+P1(f326(f326(f242(x105091,x105092,f326(f326(f9(x105091,f939(f938(x105091,x105092),a927),f939(x105092,a927)),f326(f326(f10(f939(x105092,f939(f939(f938(x105091,x105092),a927),a927)),f939(f939(f938(x105091,x105092),a927),f939(x105092,a927)),x105091),f9(x105092,f939(f938(x105091,x105092),a927),a927)),f326(f326(f10(f939(x105092,f938(x105091,x105092)),f939(x105092,f939(f939(f938(x105091,x105092),a927),a927)),x105091),f326(f10(f938(x105091,x105092),f939(f939(f938(x105091,x105092),a927),a927),x105092),f328(f938(x105091,x105092)))),f251(x105091,x105092)))),x105093)),x105094),x105095))
% 197.76/197.84 [10519]P1(f326(f326(f328(f938(x105191,x105192)),f326(f326(f251(x105191,x105192),x105193),x105194)),f326(f285(x105192,x105191),x105195)))+~P1(f326(f326(f242(x105192,x105191,f326(f326(f9(x105192,f939(f938(x105192,x105191),a927),f939(x105191,a927)),f326(f326(f10(f939(x105191,f939(f939(f938(x105192,x105191),a927),a927)),f939(f939(f938(x105192,x105191),a927),f939(x105191,a927)),x105192),f9(x105191,f939(f938(x105192,x105191),a927),a927)),f326(f326(f10(f939(x105191,f938(x105192,x105191)),f939(x105191,f939(f939(f938(x105192,x105191),a927),a927)),x105192),f326(f10(f938(x105192,x105191),f939(f939(f938(x105192,x105191),a927),a927),x105191),f328(f938(x105192,x105191)))),f251(x105192,x105191)))),x105195)),x105193),x105194))
% 197.76/197.84 [9747]~P1(f326(f326(f234(a931),x97474),x97471))+E(f326(f326(f3(a931),f326(f326(f79(a931),f326(f326(f80(a931),x97471),x97472)),x97473)),f326(f326(f79(a931),f326(f326(f80(a931),x97474),x97472)),x97475)),f326(f326(f3(a931),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x97471),x97474)),x97472)),x97473)),x97475))
% 197.76/197.84 [5507]E(x55071,x55072)+~E(f27(x55073,x55074,x55071),f27(x55075,x55076,x55072))
% 197.76/197.84 [5508]E(x55081,x55082)+~E(f27(x55083,x55081,x55084),f27(x55085,x55082,x55086))
% 197.76/197.84 [5509]E(x55091,x55092)+~E(f27(x55091,x55093,x55094),f27(x55092,x55095,x55096))
% 197.76/197.84 [5510]E(x55101,x55102)+~E(f26(x55103,x55104,x55101),f26(x55105,x55106,x55102))
% 197.76/197.84 [5511]E(x55111,x55112)+~E(f26(x55113,x55111,x55114),f26(x55115,x55112,x55116))
% 197.76/197.84 [5512]E(x55121,x55122)+~E(f26(x55121,x55123,x55124),f26(x55122,x55125,x55126))
% 197.76/197.84 [7535]E(x75351,x75352)+~E(f220(x75353,x75354,x75355,x75351),f220(x75353,x75354,x75356,x75352))
% 197.76/197.84 [7536]E(x75361,x75362)+~E(f220(x75363,x75364,x75361,x75365),f220(x75363,x75364,x75362,x75366))
% 197.76/197.84 [8670]~P21(x86705,x86701,x86702,x86706)+E(f326(f72(x86701,x86701,x86701,f326(x86702,x86703)),f326(x86702,x86704)),f326(f72(x86701,x86701,x86701,f326(x86702,x86704)),f326(x86702,x86703)))
% 197.76/197.84 [8904]~P61(x89044,x89045,x89042,x89041,x89046)+E(f326(x89041,f326(x89042,x89043)),x89043)
% 197.76/197.84 [9071]P27(x90711,x90712,x90713,x90714)+~P27(x90711,x90715,f326(f72(x90712,x90715,x90711,x90716),x90713),x90714)
% 197.76/197.84 [9145]~E(x91456,x91454)+E(f326(f74(x91451,x91452,x91453,x91454,x91455),x91456),x91455)
% 197.76/197.84 [9151]E(x91511,x91512)+E(f326(f74(x91513,x91514,x91515,x91512,x91516),x91511),f326(x91515,x91511))
% 197.76/197.84 [9163]~P27(x91634,x91632,f326(f72(x91631,x91632,x91634,x91633),x91635),x91636)+P27(x91631,x91632,x91633,f326(f309(x91634,x91631,x91635),x91636))
% 197.76/197.84 [9880]P1(f326(f61(x98801),x98802))+~P1(f326(f66(x98801,x98803,x98804,x98805,x98802),x98806))
% 197.76/197.84 [9889]~P1(f326(f326(f328(x98894),x98893),f299(x98894,x98895,x98891,x98892,x98896)))+P1(f326(f326(x98891,x98892),x98893))
% 197.76/197.84 [9890]~P1(f326(f326(f328(x98904),x98903),f296(x98904,x98901,x98905,x98902,x98906)))+P1(f326(f326(x98901,x98902),x98903))
% 197.76/197.84 [9891]~P1(f326(f326(f328(x98914),x98912),f299(x98914,x98911,x98915,x98916,x98913)))+P1(f326(f326(x98911,x98912),x98913))
% 197.76/197.84 [9892]~P1(f326(f326(f328(x98924),x98922),f296(x98924,x98925,x98921,x98926,x98923)))+P1(f326(f326(x98921,x98922),x98923))
% 197.76/197.84 [10398]P14(x103981,x103982,x103983,x103984,x103985,x103986)+~E(f326(f326(x103986,f860(x103983,x103986,x103985,x103982,x103984,x103981)),f865(x103983,x103986,x103985,x103982,x103984,x103981)),f326(f326(x103986,f861(x103983,x103986,x103985,x103982,x103984,x103981)),f866(x103983,x103986,x103985,x103982,x103984,x103981)))
% 197.76/197.84 [6019]E(x60191,x60192)+~E(f326(f326(f251(x60193,x60194),x60195),x60191),f326(f326(f251(x60193,x60194),x60196),x60192))
% 197.76/197.84 [6021]E(x60211,x60212)+~E(f326(f326(f251(x60213,x60214),x60211),x60215),f326(f326(f251(x60213,x60214),x60212),x60216))
% 197.76/197.84 [6160]~P18(x61605,x61606,x61601)+E(f326(f326(x61601,x61602),f326(f326(x61601,x61603),x61604)),f326(f326(x61601,x61603),f326(f326(x61601,x61602),x61604)))
% 197.76/197.84 [7603]~P36(x76034,x76031,f326(f326(f151(x76034),x76032),x76035),f326(f326(f151(x76034),x76033),x76036))+P1(f326(f326(x76031,x76032),x76033))
% 197.76/197.84 [7965]P36(x79651,x79652,x79653,x79654)+~P36(x79651,x79652,f326(f326(f151(x79651),x79655),x79653),f326(f326(f151(x79651),x79656),x79654))
% 197.76/197.84 [9008]~P61(x90085,x90081,x90082,x90086,x90084)+P1(f326(f326(f328(x90081),f326(x90082,x90083)),x90084))
% 197.76/197.84 [9212]~E(x92123,f326(f326(f151(x92121),x92125),x92126))+P1(f326(f326(f328(f938(f932(x92121),f932(x92121))),f326(f326(f251(f932(x92121),f932(x92121)),x92122),f326(f326(f134(x92121),x92122),x92123))),f147(x92121,x92124)))
% 197.76/197.84 [9453]~P38(x94531,x94532,x94533,x94535,x94536)+P38(x94531,x94532,x94533,f326(f326(f175(x94531),x94534),x94535),f326(f326(f175(x94532),x94534),x94536))
% 197.76/197.84 [9454]~P38(x94541,x94542,x94543,x94545,x94546)+P38(x94541,x94542,x94543,f326(f326(f138(x94541),x94544),x94545),f326(f326(f138(x94542),x94544),x94546))
% 197.76/197.84 [9714]E(f326(f309(x97141,x97142,f74(x97141,x97142,x97143,x97144,x97145)),x97146),f326(f309(x97141,x97142,x97143),x97146))+P1(f326(f326(f328(x97141),x97144),x97146))
% 197.76/197.84 [9717]E(f326(f326(f154(x97171,x97172),f74(x97171,x97172,x97173,x97174,x97175)),x97176),f326(f326(f154(x97171,x97172),x97173),x97176))+P1(f326(f326(f328(x97171),x97174),f326(f172(x97171),x97176)))
% 197.76/197.84 [9952]~P25(x99524,x99522,x99525,x99523,x99526,x99521)+E(f326(x99521,f188(f939(x99522,a927))),x99523)
% 197.76/197.84 [10185]~E(f326(x101854,f326(f250(x101851,x101853),x101855)),f326(x101856,f326(f250(x101851,x101853),x101855)))+E(f326(f257(x101851,x101852,x101853,x101853,x101854,f31(x101853)),x101855),f326(f257(x101851,x101852,x101853,x101853,x101856,f31(x101853)),x101855))
% 197.76/197.84 [10186]~E(f326(x101864,f326(f255(x101861,x101862),x101865)),f326(x101866,f326(f255(x101861,x101862),x101865)))+E(f326(f257(x101861,x101861,x101862,x101863,f31(x101861),x101864),x101865),f326(f257(x101861,x101861,x101862,x101863,f31(x101861),x101866),x101865))
% 197.76/197.84 [10241]~E(f326(f257(x102412,x102416,x102413,x102413,x102411,f31(x102413)),x102414),f326(f257(x102412,x102416,x102413,x102413,x102415,f31(x102413)),x102414))+E(f326(x102411,f326(f250(x102412,x102413),x102414)),f326(x102415,f326(f250(x102412,x102413),x102414)))
% 197.76/197.84 [10242]~E(f326(f257(x102422,x102422,x102423,x102426,f31(x102422),x102421),x102424),f326(f257(x102422,x102422,x102423,x102426,f31(x102422),x102425),x102424))+E(f326(x102421,f326(f255(x102422,x102423),x102424)),f326(x102425,f326(f255(x102422,x102423),x102424)))
% 197.76/197.84 [9112]P1(f326(f326(f328(x91121),x91122),x91123))+~P1(f326(f326(f328(f938(x91121,x91124)),f326(f326(f251(x91121,x91124),x91122),x91125)),f326(f326(f253(x91121,x91124),x91123),x91126)))
% 197.76/197.84 [9128]P1(f326(f326(f328(x91281),x91282),f326(x91283,x91284)))+~P1(f326(f326(f328(f938(x91285,x91281)),f326(f326(f251(x91285,x91281),x91284),x91282)),f326(f326(f253(x91285,x91281),x91286),x91283)))
% 197.76/197.84 [9570]P1(f326(f326(f328(f938(x95701,x95701)),f326(f326(f251(x95701,x95701),f326(x95702,x95703)),f326(x95702,x95704))),x95705))+~P1(f326(f326(f328(f938(x95706,x95706)),f326(f326(f251(x95706,x95706),x95703),x95704)),f326(f326(f287(x95701,x95706),x95705),x95702)))
% 197.76/197.84 [9590]~P1(f326(f326(f328(f938(x95904,x95904)),f326(f326(f251(x95904,x95904),f326(x95906,x95902)),f326(x95906,x95903))),x95905))+P1(f326(f326(f328(f938(x95901,x95901)),f326(f326(f251(x95901,x95901),x95902),x95903)),f326(f326(f287(x95904,x95901),x95905),x95906)))
% 197.76/197.84 [10244]E(f326(f326(f251(x102441,x102442),f660(x102443,x102444,x102445,x102446,x102442,x102441)),f661(x102443,x102444,x102445,x102446,x102442,x102441)),x102446)+~P1(f326(f326(f328(f938(x102441,x102442)),x102446),f326(f326(f288(x102441,x102445,x102442),x102444),x102443)))
% 197.76/197.84 [10463]~P1(f326(f326(f328(f938(x104631,x104636)),x104635),f326(f326(f288(x104631,x104632,x104636),x104634),x104633)))+P1(f326(f326(f328(f938(x104631,x104632)),f326(f326(f251(x104631,x104632),f660(x104633,x104634,x104632,x104635,x104636,x104631)),f662(x104633,x104634,x104632,x104635,x104636,x104631))),x104634))
% 197.76/197.84 [10464]~P1(f326(f326(f328(f938(x104646,x104642)),x104645),f326(f326(f288(x104646,x104641,x104642),x104644),x104643)))+P1(f326(f326(f328(f938(x104641,x104642)),f326(f326(f251(x104641,x104642),f662(x104643,x104644,x104641,x104645,x104642,x104646)),f661(x104643,x104644,x104641,x104645,x104642,x104646))),x104643))
% 197.76/197.84 [10465]P14(x104651,x104652,x104653,x104654,x104655,x104656)+P1(f326(f326(f328(f938(x104652,x104652)),f326(f326(f251(x104652,x104652),f866(x104653,x104656,x104655,x104652,x104654,x104651)),f865(x104653,x104656,x104655,x104652,x104654,x104651))),x104655))
% 197.76/197.84 [10466]P14(x104661,x104662,x104663,x104664,x104665,x104666)+P1(f326(f326(f328(f938(x104661,x104661)),f326(f326(f251(x104661,x104661),f861(x104663,x104666,x104665,x104662,x104664,x104661)),f860(x104663,x104666,x104665,x104662,x104664,x104661))),x104664))
% 197.76/197.84 [8035]~P7(x80352)+E(f326(f326(f39(x80351,x80352),x80353),f326(f326(f9(x80351,x80354,x80352),x80355),x80356)),f326(f326(f326(f39(x80351,f939(x80354,x80352)),x80353),x80355),x80356))
% 197.76/197.84 [8036]~P7(x80362)+E(f326(f326(f40(x80361,x80362),x80363),f326(f326(f9(x80361,x80364,x80362),x80365),x80366)),f326(f326(f326(f40(x80361,f939(x80364,x80362)),x80363),x80365),x80366))
% 197.76/197.84 [8815]E(f326(f326(f40(x88151,f939(x88152,a927)),x88153),f326(f326(f10(f939(x88152,a927),f939(x88152,a927),x88151),f326(f308(x88152),x88154)),x88155)),f326(f326(f308(x88152),x88154),f326(f326(f40(x88151,f939(x88152,a927)),x88153),x88155)))+~P1(f326(f326(f328(x88151),x88156),x88153))
% 197.76/197.84 [9265]~P7(x92652)+E(f326(f326(f39(x92651,x92652),x92653),f326(f326(f10(f939(x92654,x92652),x92652,x92651),f326(f39(x92654,x92652),x92655)),f326(f9(x92654,x92651,x92652),x92656))),f326(f326(f39(x92654,x92652),x92655),f326(f326(f10(f939(x92651,x92652),x92652,x92654),f326(f39(x92651,x92652),x92653)),x92656)))
% 197.76/197.84 [9266]~P7(x92662)+E(f326(f326(f40(x92661,x92662),x92663),f326(f326(f10(f939(x92664,x92662),x92662,x92661),f326(f40(x92664,x92662),x92665)),f326(f9(x92664,x92661,x92662),x92666))),f326(f326(f40(x92664,x92662),x92665),f326(f326(f10(f939(x92661,x92662),x92662,x92664),f326(f40(x92661,x92662),x92663)),x92666)))
% 197.76/197.84 [9479]P1(f326(f326(f328(x94791),x94792),f326(f172(x94791),x94793)))+~P1(f326(f326(f328(f938(x94794,x94791)),f326(f326(f251(x94794,x94791),x94795),x94792)),f326(f172(f938(x94794,x94791)),f326(f326(f181(x94794,x94791),x94796),x94793))))
% 197.76/197.84 [9480]P1(f326(f326(f328(x94801),x94802),f326(f172(x94801),x94803)))+~P1(f326(f326(f328(f938(x94801,x94804)),f326(f326(f251(x94801,x94804),x94802),x94805)),f326(f172(f938(x94801,x94804)),f326(f326(f181(x94801,x94804),x94803),x94806))))
% 197.76/197.84 [9586]P1(f326(f326(f234(f939(x95861,a927)),f326(f284(x95862,x95861,x95863),x95864)),x95865))+~P1(f326(f326(f234(f939(f938(x95862,x95861),a927)),x95863),f326(f326(f253(x95862,x95861),x95866),f326(f18(f939(x95861,a927),x95862),x95865))))
% 197.76/197.84 [9591]~P28(x95914,x95912,x95915,f241(f939(x95914,a927)),f241(f939(x95912,a927)))+E(f326(f326(f39(x95911,f939(x95912,a927)),x95913),f326(f326(f10(f939(x95914,a927),f939(x95912,a927),x95911),f309(x95914,x95912,x95915)),x95916)),f326(f309(x95914,x95912,x95915),f326(f326(f39(x95911,f939(x95914,a927)),x95913),x95916)))
% 197.76/197.84 [9782]P1(f326(f326(f328(f938(f932(x97821),f932(x97821))),f326(f326(f251(f932(x97821),f932(x97821)),f326(f326(f151(x97821),x97822),x97823)),f326(f326(f151(x97821),x97824),x97825))),f147(x97821,x97826)))+~P1(f326(f326(f328(f938(x97821,x97821)),f326(f326(f251(x97821,x97821),x97822),x97824)),x97826))
% 197.76/197.84 [10240]E(f326(f326(f251(x102401,x102402),f601(x102403,x102404,x102405,x102402,x102401,x102406)),f602(x102403,x102404,x102405,x102402,x102401,x102406)),x102406)+P1(f326(f326(f328(x102405),x102404),f326(f326(f256(x102401,x102402,f939(x102405,a927)),x102403),x102406)))
% 197.76/197.84 [10246]E(f326(f326(f251(x102461,x102462),f603(x102463,x102464,x102462,x102461,x102465,x102466)),f604(x102463,x102464,x102462,x102461,x102465,x102466)),x102463)+~P1(f326(f326(f328(x102466),x102465),f326(f326(f256(x102461,x102462,f939(x102466,a927)),x102464),x102463)))
% 197.76/197.84 [10411]P1(f326(f326(f328(x104111),x104112),f326(f326(x104113,f603(x104114,x104113,x104115,x104116,x104112,x104111)),f604(x104114,x104113,x104115,x104116,x104112,x104111))))+~P1(f326(f326(f328(x104111),x104112),f326(f326(f256(x104116,x104115,f939(x104111,a927)),x104113),x104114)))
% 197.76/197.84 [10436]~P1(f326(f326(f328(x104361),x104362),f326(f326(x104365,f601(x104365,x104362,x104361,x104364,x104363,x104366)),f602(x104365,x104362,x104361,x104364,x104363,x104366))))+P1(f326(f326(f328(x104361),x104362),f326(f326(f256(x104363,x104364,f939(x104361,a927)),x104365),x104366)))
% 197.76/197.84 [8715]E(x87151,x87152)+E(f326(f326(f159(x87153,f326(f326(f159(x87153,x87154),x87151),x87155)),x87152),x87156),f326(f326(f159(x87153,f326(f326(f159(x87153,x87154),x87152),x87156)),x87151),x87155))
% 197.76/197.84 [9842]~P1(f326(f326(f328(x98423),x98426),x98425))+E(f326(f326(f308(x98421),x98422),f326(f309(x98423,x98421,x98424),f326(f326(f3(f939(x98423,a927)),x98425),f326(f326(f308(x98423),x98426),f188(f939(x98423,a927)))))),f326(f309(x98423,x98421,f74(x98423,x98421,x98424,x98426,x98422)),x98425))
% 197.76/197.84 [9344]~P1(f326(f326(x93444,x93445),x93446))+P1(f326(f326(f326(f326(f110(f939(x93441,f939(x93442,a927))),x93443),x93444),x93445),x93446))
% 197.76/197.84 [9346]~P1(f326(f326(x93463,x93465),x93466))+P1(f326(f326(f326(f326(f110(f939(x93461,f939(x93462,a927))),x93463),x93464),x93465),x93466))
% 197.76/197.84 [9641]P1(f326(f326(x96411,x96412),x96413))+~P1(f326(f326(f326(f326(f101(f939(x96414,f939(x96415,a927))),x96416),x96411),x96412),x96413))
% 197.76/197.84 [9642]P1(f326(f326(x96421,x96422),x96423))+~P1(f326(f326(f326(f326(f101(f939(x96424,f939(x96425,a927))),x96421),x96426),x96422),x96423))
% 197.76/197.84 [10077]~P79(x100772)+E(f326(f326(f8(x100771,x100772),f326(f326(f9(x100771,f939(x100773,a927),x100772),f326(f326(f10(f939(x100773,x100772),f939(f939(x100773,a927),x100772),x100771),f8(x100773,x100772)),x100774)),x100775)),x100776),f326(f326(f8(f938(x100771,x100773),x100772),f326(f256(x100771,x100773,x100772),x100774)),f326(f326(f253(x100771,x100773),x100776),f326(f18(f939(x100773,a927),x100771),x100775))))
% 197.76/197.84 [10078]~P75(x100782)+E(f326(f326(f11(x100781,x100782),f326(f326(f9(x100781,f939(x100783,a927),x100782),f326(f326(f10(f939(x100783,x100782),f939(f939(x100783,a927),x100782),x100781),f11(x100783,x100782)),x100784)),x100785)),x100786),f326(f326(f11(f938(x100781,x100783),x100782),f326(f256(x100781,x100783,x100782),x100784)),f326(f326(f253(x100781,x100783),x100786),f326(f18(f939(x100783,a927),x100781),x100785))))
% 197.76/197.84 [10212]~P79(x102122)+E(f326(f326(f8(x102121,x102122),f326(f326(f9(x102121,f939(x102123,a927),x102122),f326(f326(f10(f939(x102123,x102122),f939(f939(x102123,a927),x102122),x102121),f8(x102123,x102122)),f326(f9(x102123,x102121,x102122),x102124))),x102125)),x102126),f326(f326(f8(x102123,x102122),f326(f326(f9(x102123,f939(x102121,a927),x102122),f326(f326(f10(f939(x102121,x102122),f939(f939(x102121,a927),x102122),x102123),f8(x102121,x102122)),x102124)),x102126)),x102125))
% 197.76/197.84 [10531]~P1(f326(f326(f328(f938(x105311,x105312)),f326(f326(f251(x105311,x105312),x105315),x105316)),f326(f326(f110(f939(f938(x105311,x105312),a927)),x105313),x105314)))+P1(f326(f326(f326(f326(f110(f939(x105311,f939(x105312,a927))),f326(f326(f9(x105311,f939(f938(x105311,x105312),a927),f939(x105312,a927)),f326(f326(f10(f939(x105312,f939(f939(f938(x105311,x105312),a927),a927)),f939(f939(f938(x105311,x105312),a927),f939(x105312,a927)),x105311),f9(x105312,f939(f938(x105311,x105312),a927),a927)),f326(f326(f10(f939(x105312,f938(x105311,x105312)),f939(x105312,f939(f939(f938(x105311,x105312),a927),a927)),x105311),f326(f10(f938(x105311,x105312),f939(f939(f938(x105311,x105312),a927),a927),x105312),f328(f938(x105311,x105312)))),f251(x105311,x105312)))),x105313)),f326(f326(f9(x105311,f939(f938(x105311,x105312),a927),f939(x105312,a927)),f326(f326(f10(f939(x105312,f939(f939(f938(x105311,x105312),a927),a927)),f939(f939(f938(x105311,x105312),a927),f939(x105312,a927)),x105311),f9(x105312,f939(f938(x105311,x105312),a927),a927)),f326(f326(f10(f939(x105312,f938(x105311,x105312)),f939(x105312,f939(f939(f938(x105311,x105312),a927),a927)),x105311),f326(f10(f938(x105311,x105312),f939(f939(f938(x105311,x105312),a927),a927),x105312),f328(f938(x105311,x105312)))),f251(x105311,x105312)))),x105314)),x105315),x105316))
% 197.76/197.84 [10532]~P1(f326(f326(f328(f938(x105321,x105322)),f326(f326(f251(x105321,x105322),x105325),x105326)),f326(f326(f101(f939(f938(x105321,x105322),a927)),x105323),x105324)))+P1(f326(f326(f326(f326(f101(f939(x105321,f939(x105322,a927))),f326(f326(f9(x105321,f939(f938(x105321,x105322),a927),f939(x105322,a927)),f326(f326(f10(f939(x105322,f939(f939(f938(x105321,x105322),a927),a927)),f939(f939(f938(x105321,x105322),a927),f939(x105322,a927)),x105321),f9(x105322,f939(f938(x105321,x105322),a927),a927)),f326(f326(f10(f939(x105322,f938(x105321,x105322)),f939(x105322,f939(f939(f938(x105321,x105322),a927),a927)),x105321),f326(f10(f938(x105321,x105322),f939(f939(f938(x105321,x105322),a927),a927),x105322),f328(f938(x105321,x105322)))),f251(x105321,x105322)))),x105323)),f326(f326(f9(x105321,f939(f938(x105321,x105322),a927),f939(x105322,a927)),f326(f326(f10(f939(x105322,f939(f939(f938(x105321,x105322),a927),a927)),f939(f939(f938(x105321,x105322),a927),f939(x105322,a927)),x105321),f9(x105322,f939(f938(x105321,x105322),a927),a927)),f326(f326(f10(f939(x105322,f938(x105321,x105322)),f939(x105322,f939(f939(f938(x105321,x105322),a927),a927)),x105321),f326(f10(f938(x105321,x105322),f939(f939(f938(x105321,x105322),a927),a927),x105322),f328(f938(x105321,x105322)))),f251(x105321,x105322)))),x105324)),x105325),x105326))
% 197.76/197.84 [10541]P1(f326(f326(f328(f938(x105411,x105412)),f326(f326(f251(x105411,x105412),x105413),x105414)),f326(f326(f110(f939(f938(x105411,x105412),a927)),x105415),x105416)))+~P1(f326(f326(f326(f326(f110(f939(x105411,f939(x105412,a927))),f326(f326(f9(x105411,f939(f938(x105411,x105412),a927),f939(x105412,a927)),f326(f326(f10(f939(x105412,f939(f939(f938(x105411,x105412),a927),a927)),f939(f939(f938(x105411,x105412),a927),f939(x105412,a927)),x105411),f9(x105412,f939(f938(x105411,x105412),a927),a927)),f326(f326(f10(f939(x105412,f938(x105411,x105412)),f939(x105412,f939(f939(f938(x105411,x105412),a927),a927)),x105411),f326(f10(f938(x105411,x105412),f939(f939(f938(x105411,x105412),a927),a927),x105412),f328(f938(x105411,x105412)))),f251(x105411,x105412)))),x105415)),f326(f326(f9(x105411,f939(f938(x105411,x105412),a927),f939(x105412,a927)),f326(f326(f10(f939(x105412,f939(f939(f938(x105411,x105412),a927),a927)),f939(f939(f938(x105411,x105412),a927),f939(x105412,a927)),x105411),f9(x105412,f939(f938(x105411,x105412),a927),a927)),f326(f326(f10(f939(x105412,f938(x105411,x105412)),f939(x105412,f939(f939(f938(x105411,x105412),a927),a927)),x105411),f326(f10(f938(x105411,x105412),f939(f939(f938(x105411,x105412),a927),a927),x105412),f328(f938(x105411,x105412)))),f251(x105411,x105412)))),x105416)),x105413),x105414))
% 197.76/197.84 [10542]P1(f326(f326(f328(f938(x105421,x105422)),f326(f326(f251(x105421,x105422),x105423),x105424)),f326(f326(f101(f939(f938(x105421,x105422),a927)),x105425),x105426)))+~P1(f326(f326(f326(f326(f101(f939(x105421,f939(x105422,a927))),f326(f326(f9(x105421,f939(f938(x105421,x105422),a927),f939(x105422,a927)),f326(f326(f10(f939(x105422,f939(f939(f938(x105421,x105422),a927),a927)),f939(f939(f938(x105421,x105422),a927),f939(x105422,a927)),x105421),f9(x105422,f939(f938(x105421,x105422),a927),a927)),f326(f326(f10(f939(x105422,f938(x105421,x105422)),f939(x105422,f939(f939(f938(x105421,x105422),a927),a927)),x105421),f326(f10(f938(x105421,x105422),f939(f939(f938(x105421,x105422),a927),a927),x105422),f328(f938(x105421,x105422)))),f251(x105421,x105422)))),x105425)),f326(f326(f9(x105421,f939(f938(x105421,x105422),a927),f939(x105422,a927)),f326(f326(f10(f939(x105422,f939(f939(f938(x105421,x105422),a927),a927)),f939(f939(f938(x105421,x105422),a927),f939(x105422,a927)),x105421),f9(x105422,f939(f938(x105421,x105422),a927),a927)),f326(f326(f10(f939(x105422,f938(x105421,x105422)),f939(x105422,f939(f939(f938(x105421,x105422),a927),a927)),x105421),f326(f10(f938(x105421,x105422),f939(f939(f938(x105421,x105422),a927),a927),x105422),f328(f938(x105421,x105422)))),f251(x105421,x105422)))),x105426)),x105423),x105424))
% 197.76/197.84 [10525]~P1(f326(f326(f328(f938(x105252,x105253)),f326(f326(f251(x105252,x105253),x105255),x105256)),f326(f326(f39(x105251,f939(f938(x105252,x105253),a927)),f241(f939(x105251,a927))),x105254)))+P1(f326(f326(f326(f326(f39(x105251,f939(x105252,f939(x105253,a927))),f241(f939(x105251,a927))),f326(f326(f10(f939(f938(x105252,x105253),a927),f939(x105252,f939(x105253,a927)),x105251),f326(f9(x105252,f939(f938(x105252,x105253),a927),f939(x105253,a927)),f326(f326(f10(f939(x105253,f939(f939(f938(x105252,x105253),a927),a927)),f939(f939(f938(x105252,x105253),a927),f939(x105253,a927)),x105252),f9(x105253,f939(f938(x105252,x105253),a927),a927)),f326(f326(f10(f939(x105253,f938(x105252,x105253)),f939(x105253,f939(f939(f938(x105252,x105253),a927),a927)),x105252),f326(f10(f938(x105252,x105253),f939(f939(f938(x105252,x105253),a927),a927),x105253),f328(f938(x105252,x105253)))),f251(x105252,x105253))))),x105254)),x105255),x105256))
% 197.76/197.84 [10526]~P1(f326(f326(f328(f938(x105262,x105263)),f326(f326(f251(x105262,x105263),x105265),x105266)),f326(f326(f40(x105261,f939(f938(x105262,x105263),a927)),f241(f939(x105261,a927))),x105264)))+P1(f326(f326(f326(f326(f40(x105261,f939(x105262,f939(x105263,a927))),f241(f939(x105261,a927))),f326(f326(f10(f939(f938(x105262,x105263),a927),f939(x105262,f939(x105263,a927)),x105261),f326(f9(x105262,f939(f938(x105262,x105263),a927),f939(x105263,a927)),f326(f326(f10(f939(x105263,f939(f939(f938(x105262,x105263),a927),a927)),f939(f939(f938(x105262,x105263),a927),f939(x105263,a927)),x105262),f9(x105263,f939(f938(x105262,x105263),a927),a927)),f326(f326(f10(f939(x105263,f938(x105262,x105263)),f939(x105263,f939(f939(f938(x105262,x105263),a927),a927)),x105262),f326(f10(f938(x105262,x105263),f939(f939(f938(x105262,x105263),a927),a927),x105263),f328(f938(x105262,x105263)))),f251(x105262,x105263))))),x105264)),x105265),x105266))
% 197.76/197.84 [10535]P1(f326(f326(f328(f938(x105351,x105352)),f326(f326(f251(x105351,x105352),x105353),x105354)),f326(f326(f39(x105355,f939(f938(x105351,x105352),a927)),f241(f939(x105355,a927))),x105356)))+~P1(f326(f326(f326(f326(f39(x105355,f939(x105351,f939(x105352,a927))),f241(f939(x105355,a927))),f326(f326(f10(f939(f938(x105351,x105352),a927),f939(x105351,f939(x105352,a927)),x105355),f326(f9(x105351,f939(f938(x105351,x105352),a927),f939(x105352,a927)),f326(f326(f10(f939(x105352,f939(f939(f938(x105351,x105352),a927),a927)),f939(f939(f938(x105351,x105352),a927),f939(x105352,a927)),x105351),f9(x105352,f939(f938(x105351,x105352),a927),a927)),f326(f326(f10(f939(x105352,f938(x105351,x105352)),f939(x105352,f939(f939(f938(x105351,x105352),a927),a927)),x105351),f326(f10(f938(x105351,x105352),f939(f939(f938(x105351,x105352),a927),a927),x105352),f328(f938(x105351,x105352)))),f251(x105351,x105352))))),x105356)),x105353),x105354))
% 197.76/197.84 [10536]P1(f326(f326(f328(f938(x105361,x105362)),f326(f326(f251(x105361,x105362),x105363),x105364)),f326(f326(f40(x105365,f939(f938(x105361,x105362),a927)),f241(f939(x105365,a927))),x105366)))+~P1(f326(f326(f326(f326(f40(x105365,f939(x105361,f939(x105362,a927))),f241(f939(x105365,a927))),f326(f326(f10(f939(f938(x105361,x105362),a927),f939(x105361,f939(x105362,a927)),x105365),f326(f9(x105361,f939(f938(x105361,x105362),a927),f939(x105362,a927)),f326(f326(f10(f939(x105362,f939(f939(f938(x105361,x105362),a927),a927)),f939(f939(f938(x105361,x105362),a927),f939(x105362,a927)),x105361),f9(x105362,f939(f938(x105361,x105362),a927),a927)),f326(f326(f10(f939(x105362,f938(x105361,x105362)),f939(x105362,f939(f939(f938(x105361,x105362),a927),a927)),x105361),f326(f10(f938(x105361,x105362),f939(f939(f938(x105361,x105362),a927),a927),x105362),f328(f938(x105361,x105362)))),f251(x105361,x105362))))),x105366)),x105363),x105364))
% 197.76/197.84 [7711]E(f326(x77111,f326(x77112,x77113)),f326(x77114,x77113))+~E(f326(f72(x77115,x77116,x77117,x77111),x77112),x77114)
% 197.76/197.84 [9859]E(x98591,x98592)+E(f74(x98593,x98594,f74(x98593,x98594,x98595,x98591,x98596),x98592,x98597),f74(x98593,x98594,f74(x98593,x98594,x98595,x98592,x98597),x98591,x98596))
% 197.76/197.84 [9951]~P24(x99513,x99514,x99511,x99515,x99516,x99517)+E(f326(f326(x99511,x99512),x99512),x99512)
% 197.76/197.84 [6262]~E(f326(f326(f154(x62621,x62625),x62626),x62622),f326(f326(f154(x62623,x62625),x62627),x62624))+E(f326(f189(f932(x62621)),x62622),f326(f189(f932(x62623)),x62624))
% 197.76/197.84 [8746]E(f326(x87461,f326(x87462,x87463)),f326(x87464,x87463))+~E(f326(f72(x87465,x87466,x87467,x87461),x87462),f326(f72(x87466,x87466,x87467,f31(x87466)),x87464))
% 197.76/197.84 [9101]~P38(x91014,x91015,x91011,f326(f326(f151(x91014),x91012),x91016),f326(f326(f151(x91015),x91013),x91017))+P1(f326(f326(x91011,x91012),x91013))
% 197.76/197.84 [9486]P38(x94861,x94862,x94863,x94864,x94865)+~P38(x94861,x94862,x94863,f326(f326(f151(x94861),x94866),x94864),f326(f326(f151(x94862),x94867),x94865))
% 197.76/197.84 [10111]P1(f326(f326(x101111,x101112),f580(x101113,x101112,x101114,x101111)))+~P1(f326(f326(f252(x101115,x101116,x101117,x101111,x101114),x101112),x101113))
% 197.76/197.84 [10135]P1(f326(f326(x101351,f580(x101352,x101353,x101351,x101354)),x101352))+~P1(f326(f326(f252(x101355,x101356,x101357,x101354,x101351),x101353),x101352))
% 197.76/197.84 [6310]E(x63101,x63102)+~E(f326(f326(f326(f90(x63103),x63104),x63105),x63101),f326(f326(f326(f90(x63103),x63106),x63107),x63102))
% 197.76/197.84 [6311]E(x63111,x63112)+~E(f326(f326(f326(f90(x63113),x63114),x63111),x63115),f326(f326(f326(f90(x63113),x63116),x63112),x63117))
% 197.76/197.84 [6312]E(x63121,x63122)+~E(f326(f326(f326(f90(x63123),x63121),x63124),x63125),f326(f326(f326(f90(x63123),x63122),x63126),x63127))
% 197.76/197.84 [9219]~P22(x92196,x92191,x92193,x92197)+E(f326(f72(x92191,x92191,x92192,f326(x92193,x92194)),f326(f72(x92191,x92191,x92192,f326(x92193,x92194)),x92195)),f326(f72(x92191,x92191,x92192,f326(x92193,x92194)),x92195))
% 197.76/197.84 [9594]~P38(x95943,x95942,x95944,f326(f326(f154(x95941,x95943),x95945),x95946),x95947)+P38(x95941,x95942,f326(f326(f10(x95943,f939(x95942,a927),x95941),x95944),x95945),x95946,x95947)
% 197.76/197.84 [9617]P38(x96171,x96172,x96173,f326(f326(f154(x96174,x96171),x96175),x96176),x96177)+~P38(x96174,x96172,f326(f326(f10(x96171,f939(x96172,a927),x96174),x96173),x96175),x96176,x96177)
% 197.76/197.84 [9218]~P1(f326(f326(f328(x92181),x92182),f326(f326(x92185,x92186),x92187)))+P1(f326(f326(f328(x92181),x92182),f326(f326(f256(x92183,x92184,f939(x92181,a927)),x92185),f326(f326(f251(x92183,x92184),x92186),x92187))))
% 197.76/197.84 [9511]P1(f326(f326(f326(x95111,x95112),x95113),x95114))+~P1(f326(f326(f326(f256(x95115,x95116,f939(x95117,a927)),x95111),f326(f326(f251(x95115,x95116),x95112),x95113)),x95114))
% 197.76/197.84 [9656]P1(f326(f326(f328(x96561),f326(f326(x96562,x96563),x96564)),f326(f309(f938(x96565,x96566),x96561,f326(f256(x96565,x96566,x96561),x96562)),x96567)))+~P1(f326(f326(f328(f938(x96565,x96566)),f326(f326(f251(x96565,x96566),x96563),x96564)),x96567))
% 197.76/197.84 [9998]P1(f326(f326(f328(f938(f932(x99981),f932(x99981))),f326(f326(f251(f932(x99981),f932(x99981)),f326(f326(f134(x99981),x99982),f326(f326(f151(x99981),x99983),x99984))),f326(f326(f134(x99981),x99982),f326(f326(f151(x99981),x99985),x99986)))),f147(x99981,x99987)))+~P1(f326(f326(f328(f938(x99981,x99981)),f326(f326(f251(x99981,x99981),x99983),x99985)),x99987))
% 197.76/197.84 [10062]~P38(x100621,x100623,x100624,x100626,f326(f326(f154(x100622,x100623),x100625),x100627))+P38(x100621,x100622,f326(f326(f9(x100621,f939(x100622,x100623),f939(x100622,a927)),f326(f326(f10(f939(x100623,a927),f939(f939(x100622,x100623),f939(x100622,a927)),x100621),f10(x100623,a927,x100622)),x100624)),x100625),x100626,x100627)
% 197.76/197.84 [10139]P38(x101391,x101392,x101393,x101394,f326(f326(f154(x101395,x101392),x101396),x101397))+~P38(x101391,x101395,f326(f326(f9(x101391,f939(x101395,x101392),f939(x101395,a927)),f326(f326(f10(f939(x101392,a927),f939(f939(x101395,x101392),f939(x101395,a927)),x101391),f10(x101392,a927,x101395)),x101393)),x101396),x101394,x101397)
% 197.76/197.84 [10450]P1(f326(f326(f328(x104501),f442(x104502,x104503,x104504,x104505,x104506,x104507,x104501)),x104505))+P1(f326(f326(f326(f326(f39(x104501,f939(x104507,f939(x104506,a927))),x104505),x104504),x104503),x104502))
% 197.76/197.84 [10451]P1(f326(f326(f328(x104511),f797(x104512,x104513,x104514,x104515,x104516,x104517,x104511)),x104517))+P1(f326(f326(f326(f326(f39(x104511,f939(x104513,f939(x104512,a927))),x104517),x104516),x104515),x104514))
% 197.76/197.84 [10452]P1(f326(f326(f328(x104521),f486(x104522,x104523,x104524,x104525,x104526,x104527,x104521)),x104525))+~P1(f326(f326(f326(f326(f40(x104521,f939(x104527,f939(x104526,a927))),x104525),x104524),x104523),x104522))
% 197.76/197.84 [10453]P1(f326(f326(f328(x104531),f798(x104532,x104533,x104534,x104535,x104536,x104537,x104531)),x104535))+~P1(f326(f326(f326(f326(f40(x104531,f939(x104537,f939(x104536,a927))),x104535),x104534),x104533),x104532))
% 197.76/197.84 [10488]P1(f326(f326(f326(x104881,f486(x104882,x104883,x104881,x104884,x104885,x104886,x104887)),x104883),x104882))+~P1(f326(f326(f326(f326(f40(x104887,f939(x104886,f939(x104885,a927))),x104884),x104881),x104883),x104882))
% 197.76/197.84 [10489]P1(f326(f326(f326(x104891,f798(x104892,x104893,x104891,x104894,x104895,x104896,x104897)),x104893),x104892))+~P1(f326(f326(f326(f326(f40(x104897,f939(x104896,f939(x104895,a927))),x104894),x104891),x104893),x104892))
% 197.76/197.84 [10506]~P1(f326(f326(f326(x105065,f442(x105067,x105066,x105065,x105064,x105063,x105062,x105061)),x105066),x105067))+P1(f326(f326(f326(f326(f39(x105061,f939(x105062,f939(x105063,a927))),x105064),x105065),x105066),x105067))
% 197.76/197.84 [10507]~P1(f326(f326(f326(x105075,f797(x105073,x105072,x105077,x105076,x105075,x105074,x105071)),x105076),x105077))+P1(f326(f326(f326(f326(f39(x105071,f939(x105072,f939(x105073,a927))),x105074),x105075),x105076),x105077))
% 197.76/197.84 [10524]~P1(f326(f326(f328(f938(x105241,x105243)),f326(f326(f251(x105241,x105243),x105246),x105247)),f326(f326(f288(x105241,x105242,x105243),x105244),x105245)))+P1(f326(f326(f252(x105241,x105242,x105243,f326(f326(f9(x105241,f939(f938(x105241,x105242),a927),f939(x105242,a927)),f326(f326(f10(f939(x105242,f939(f939(f938(x105241,x105242),a927),a927)),f939(f939(f938(x105241,x105242),a927),f939(x105242,a927)),x105241),f9(x105242,f939(f938(x105241,x105242),a927),a927)),f326(f326(f10(f939(x105242,f938(x105241,x105242)),f939(x105242,f939(f939(f938(x105241,x105242),a927),a927)),x105241),f326(f10(f938(x105241,x105242),f939(f939(f938(x105241,x105242),a927),a927),x105242),f328(f938(x105241,x105242)))),f251(x105241,x105242)))),x105244),f326(f326(f9(x105242,f939(f938(x105242,x105243),a927),f939(x105243,a927)),f326(f326(f10(f939(x105243,f939(f939(f938(x105242,x105243),a927),a927)),f939(f939(f938(x105242,x105243),a927),f939(x105243,a927)),x105242),f9(x105243,f939(f938(x105242,x105243),a927),a927)),f326(f326(f10(f939(x105243,f938(x105242,x105243)),f939(x105243,f939(f939(f938(x105242,x105243),a927),a927)),x105242),f326(f10(f938(x105242,x105243),f939(f939(f938(x105242,x105243),a927),a927),x105243),f328(f938(x105242,x105243)))),f251(x105242,x105243)))),x105245)),x105246),x105247))
% 197.76/197.84 [10534]P1(f326(f326(f328(f938(x105341,x105342)),f326(f326(f251(x105341,x105342),x105343),x105344)),f326(f326(f288(x105341,x105345,x105342),x105346),x105347)))+~P1(f326(f326(f252(x105341,x105345,x105342,f326(f326(f9(x105341,f939(f938(x105341,x105345),a927),f939(x105345,a927)),f326(f326(f10(f939(x105345,f939(f939(f938(x105341,x105345),a927),a927)),f939(f939(f938(x105341,x105345),a927),f939(x105345,a927)),x105341),f9(x105345,f939(f938(x105341,x105345),a927),a927)),f326(f326(f10(f939(x105345,f938(x105341,x105345)),f939(x105345,f939(f939(f938(x105341,x105345),a927),a927)),x105341),f326(f10(f938(x105341,x105345),f939(f939(f938(x105341,x105345),a927),a927),x105345),f328(f938(x105341,x105345)))),f251(x105341,x105345)))),x105346),f326(f326(f9(x105345,f939(f938(x105345,x105342),a927),f939(x105342,a927)),f326(f326(f10(f939(x105342,f939(f939(f938(x105345,x105342),a927),a927)),f939(f939(f938(x105345,x105342),a927),f939(x105342,a927)),x105345),f9(x105342,f939(f938(x105345,x105342),a927),a927)),f326(f326(f10(f939(x105342,f938(x105345,x105342)),f939(x105342,f939(f939(f938(x105345,x105342),a927),a927)),x105345),f326(f10(f938(x105345,x105342),f939(f939(f938(x105345,x105342),a927),a927),x105342),f328(f938(x105345,x105342)))),f251(x105345,x105342)))),x105347)),x105343),x105344))
% 197.76/197.84 [10462]~P149(x104622)+E(f326(f326(f8(x104621,x104622),f326(f326(f9(x104621,f939(x104623,a927),x104622),f326(f326(f10(f939(x104623,x104622),f939(f939(x104623,a927),x104622),x104621),f8(x104623,x104622)),f326(f326(f9(x104621,f939(x104623,x104622),f939(x104623,x104622)),f326(f326(f10(f939(x104622,x104622),f939(f939(x104623,x104622),f939(x104623,x104622)),x104621),f10(x104622,x104622,x104623)),f326(f326(f10(x104622,f939(x104622,x104622),x104621),f80(x104622)),x104624))),x104625))),x104626)),x104627),f326(f326(f80(x104622),f326(f326(f8(x104621,x104622),x104624),x104627)),f326(f326(f8(x104623,x104622),x104625),x104626)))
% 197.76/197.84 [9543]~P21(x95437,x95431,x95433,x95438)+E(f326(f72(x95431,x95431,x95432,f326(x95433,x95434)),f326(f72(x95431,x95431,x95432,f326(x95433,x95435)),x95436)),f326(f72(x95431,x95431,x95432,f326(x95433,x95435)),f326(f72(x95431,x95431,x95432,f326(x95433,x95434)),x95436)))
% 197.76/197.84 [10529]E(f326(f326(f251(x105291,x105292),f326(x105293,f566(x105294,x105295,x105293,x105296,x105297,x105298,x105292,x105291))),f326(x105295,f567(x105294,x105295,x105293,x105296,x105297,x105298,x105292,x105291))),x105298)+~P1(f326(f326(f328(f938(x105291,x105292)),x105298),f326(f309(f938(x105297,x105296),f938(x105291,x105292),f257(x105297,x105291,x105296,x105292,x105293,x105295)),x105294)))
% 197.76/197.84 [10547]~P1(f326(f326(f328(f938(x105478,x105477)),x105476),f326(f309(f938(x105471,x105472),f938(x105478,x105477),f257(x105471,x105478,x105472,x105477,x105475,x105474)),x105473)))+P1(f326(f326(f328(f938(x105471,x105472)),f326(f326(f251(x105471,x105472),f566(x105473,x105474,x105475,x105472,x105471,x105476,x105477,x105478)),f567(x105473,x105474,x105475,x105472,x105471,x105476,x105477,x105478))),x105473))
% 197.76/197.84 [9988]P1(f326(f326(f328(f938(f938(x99881,x99882),f938(x99881,x99882))),f326(f326(f251(f938(x99881,x99882),f938(x99881,x99882)),f326(f326(f251(x99881,x99882),x99883),x99884)),f326(f326(f251(x99881,x99882),x99885),x99886))),f319(x99881,x99882,x99887,x99888)))+~P1(f326(f326(f328(f938(x99881,x99881)),f326(f326(f251(x99881,x99881),x99883),x99885)),x99887))
% 197.76/197.84 [10518]E(f326(f142(x105181,x105182,f326(f9(x105182,x105181,x105181),x105183),f326(x105184,x105185)),x105186),f326(x105184,f326(f142(x105187,x105182,f326(f9(x105182,x105187,x105187),x105188),x105185),x105186)))+P1(f326(f326(f328(x105182),f745(x105185,x105188,x105184,x105183,x105187,x105181,x105186,x105182)),f326(f172(x105182),x105186)))
% 197.76/197.84 [10537]~E(f326(f72(x105371,x105371,x105377,f326(x105373,f745(x105375,x105378,x105374,x105373,x105377,x105371,x105376,x105372))),x105374),f326(f72(x105377,x105371,x105377,x105374),f326(x105378,f745(x105375,x105378,x105374,x105373,x105377,x105371,x105376,x105372))))+E(f326(f142(x105371,x105372,f326(f9(x105372,x105371,x105371),x105373),f326(x105374,x105375)),x105376),f326(x105374,f326(f142(x105377,x105372,f326(f9(x105372,x105377,x105377),x105378),x105375),x105376)))
% 197.76/197.84 [8751]E(f326(x87511,f326(x87512,x87513)),f326(x87514,f326(x87515,x87513)))+~E(f326(f72(x87516,x87517,x87518,x87511),x87512),f326(f72(x87519,x87517,x87518,x87514),x87515))
% 197.76/197.84 [10374]P1(f326(f326(f328(f938(x103741,x103742)),f326(f326(f251(x103741,x103742),f326(x103743,x103744)),f326(x103745,x103746))),f326(f309(f938(x103747,x103748),f938(x103741,x103742),f257(x103747,x103741,x103748,x103742,x103743,x103745)),x103749)))+~P1(f326(f326(f328(f938(x103747,x103748)),f326(f326(f251(x103747,x103748),x103744),x103746)),x103749))
% 197.76/197.84 [9046]~E(f326(x90464,f326(x90465,x90466)),f326(x90469,f326(x904610,x904611)))+E(f326(f326(f72(x90461,x90462,x90463,x90464),x90465),x90466),f326(f326(f72(x90467,x90462,x90468,x90469),x904610),x904611))
% 197.76/197.84 [4829]~P111(x48291)+~P105(x48291)+E(f101(x48291),f232(x48291))
% 197.76/197.84 [4830]~P111(x48301)+~P104(x48301)+E(f110(x48301),f233(x48301))
% 197.76/197.84 [5079]~P122(x50791)+~P98(x50791)+E(f326(f75(x50791),f326(f103(x50791),a97)),f77(x50791))
% 197.76/197.84 [5365]E(x53651,f2(a1))+E(f81(a1,x53651),f326(f78(a1),f77(a1)))+P1(f326(f326(f235(a1),f2(a1)),x53651))
% 197.76/197.84 [5574]E(x55741,f2(a1))+E(f81(a1,x55741),f77(a1))+~P1(f326(f326(f235(a1),f2(a1)),x55741))
% 197.76/197.84 [7607]~P44(x76071)+P1(f326(f61(a1),x76071))+~P1(f326(f61(a931),f326(f309(a1,a931,a104),x76071)))
% 197.76/197.84 [9950]E(x99501,f188(f939(f938(a931,a931),a927)))+~P1(f326(f61(f938(a931,a931)),x99501))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f188(f939(f938(a931,a931),a927))),x99501)),a34))
% 197.76/197.84 [10112]E(x101121,f2(a931))+E(x101121,f326(a112,f2(a931)))+~P1(f326(f326(f235(a931),x101121),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [10406]E(x104061,f2(a99))+E(f326(f326(f79(a1),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f36(a99),x104061),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))),f77(a1)),f326(a24,x104061))+E(f45(a99,x104061,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))
% 197.76/197.84 [10250]E(x102501,f2(a99))+~E(f45(a99,x102501,f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(a99))+E(f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(a24,f326(f326(f36(a99),x102501),f326(f103(a99),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f326(a24,x102501))
% 197.76/197.84 [4910]~P62(x49101,x49102)+P49(x49101,x49102)+~P50(a927)
% 197.76/197.84 [4839]~P148(x48391)+P32(x48391,x48392)+~E(x48392,f2(x48391))
% 197.76/197.84 [4840]~P111(x48401)+P15(x48401,x48402)+~E(x48402,f113(x48401))
% 197.76/197.84 [4849]~P122(x48491)+~E(x48492,f2(x48491))+E(f81(x48491,x48492),f2(x48491))
% 197.76/197.84 [4850]~P94(x48501)+~E(x48502,f2(x48501))+E(f81(x48501,x48502),f2(x48501))
% 197.76/197.84 [4858]~P148(x48582)+~P32(x48582,x48581)+E(x48581,f2(x48582))
% 197.76/197.84 [4903]~P122(x49032)+~E(f81(x49032,x49031),f2(x49032))+E(x49031,f2(x49032))
% 197.76/197.84 [4917]~P6(x49172)+~P6(x49171)+P6(f939(x49171,x49172))
% 197.76/197.84 [4918]~P6(x49182)+~P6(x49181)+P6(f937(x49181,x49182))
% 197.76/197.84 [4919]~P6(x49192)+~P6(x49191)+P6(f938(x49191,x49192))
% 197.76/197.84 [4920]~P8(x49202)+~P8(x49201)+P8(f194(x49201,x49202))
% 197.76/197.84 [4921]~P67(x49212)+~P67(x49211)+P67(f939(x49211,x49212))
% 197.76/197.84 [4922]~P67(x49222)+~P67(x49221)+P67(f937(x49221,x49222))
% 197.76/197.84 [4923]~P67(x49232)+~P67(x49231)+P67(f938(x49231,x49232))
% 197.76/197.84 [4924]~P107(x49242)+~P107(x49241)+P107(f938(x49241,x49242))
% 197.76/197.84 [5051]~P111(x50511)+~P15(x50511,x50512)+P15(x50511,f152(x50511,x50512))
% 197.76/197.84 [5293]~P8(x52932)+~P8(x52931)+P8(f45(a1,x52931,x52932))
% 197.76/197.84 [4860]~P81(x48601)+~E(x48602,f2(x48601))+E(f326(f78(x48601),x48602),x48602)
% 197.76/197.84 [4875]~P145(x48751)+~E(x48752,f2(a1))+E(f326(f102(x48751),x48752),f2(x48751))
% 197.76/197.84 [4876]~P96(x48761)+~E(x48762,f2(a1))+E(f326(f102(x48761),x48762),f2(x48761))
% 197.76/197.84 [4900]~P80(x49001)+~E(f2(x49001),x49002)+E(f326(f78(x49001),x49002),f2(x49001))
% 197.76/197.84 [4901]~P89(x49011)+~E(x49012,f2(x49011))+E(f326(f75(x49011),x49012),f2(x49011))
% 197.76/197.84 [4902]~P80(x49021)+~E(x49022,f2(x49021))+E(f326(f78(x49021),x49022),f2(x49021))
% 197.76/197.84 [4926]~P81(x49262)+E(x49261,f2(x49262))+~E(f326(f78(x49262),x49261),x49261)
% 197.76/197.84 [4932]E(x49321,f326(a104,x49322))+~E(x49321,f2(a931))+~E(x49322,f326(f100(a1),x49321))
% 197.76/197.84 [4933]E(f326(a104,x49331),x49332)+~E(x49332,f2(a931))+~E(x49331,f326(f100(a1),x49332))
% 197.76/197.84 [4937]~P96(x49372)+E(x49371,f2(a1))+~E(f326(f102(x49372),x49371),f2(x49372))
% 197.76/197.84 [4941]~P89(x49412)+E(x49411,f2(x49412))+~E(f326(f75(x49412),x49411),f2(x49412))
% 197.76/197.84 [4942]~P80(x49422)+E(x49421,f2(x49422))+~E(f326(f78(x49422),x49421),f2(x49422))
% 197.76/197.84 [4943]~P80(x49431)+E(f2(x49431),x49432)+~E(f326(f78(x49431),x49432),f2(x49431))
% 197.76/197.84 [5126]~P111(x51261)+~P15(x51261,x51262)+P15(x51261,f326(f171(x51261),x51262))
% 197.76/197.84 [5153]~P1(x51532)+~P1(x51531)+P1(f326(f326(a324,x51531),x51532))
% 197.76/197.84 [5187]~E(f77(a931),f2(a931))+E(f326(f35(x51871),x51872),f2(a931))+~P1(f326(f61(x51871),x51872))
% 197.76/197.84 [5223]~P118(x52231)+~P149(x52231)+E(f326(f326(f243(x52231),f2(x52231)),f326(a112,x52232)),f2(x52231))
% 197.76/197.84 [5261]~P111(x52611)+P15(x52611,f139(x52611,x52612))+~P1(f326(f61(x52611),x52612))
% 197.76/197.84 [5262]~P111(x52621)+P15(x52621,f737(x52622,x52621))+~P1(f326(f61(x52621),x52622))
% 197.76/197.84 [5285]~P111(x52851)+E(f326(f172(x52851),f139(x52851,x52852)),x52852)+~P1(f326(f61(x52851),x52852))
% 197.76/197.84 [5286]~P111(x52861)+E(f326(f172(x52861),f737(x52862,x52861)),x52862)+~P1(f326(f61(x52861),x52862))
% 197.76/197.84 [5315]P1(x53151)+P1(x53152)+~P1(f326(f326(a325,x53152),x53151))
% 197.76/197.84 [5328]E(x53281,f188(f939(x53282,a927)))+~E(f326(f35(x53282),x53281),f2(a931))+~P1(f326(f61(x53282),x53281))
% 197.76/197.84 [5333]P1(x53331)+~P1(x53332)+~P1(f326(f326(a329,x53332),x53331))
% 197.76/197.84 [5383]~P78(x53831)+E(f326(f75(x53831),x53832),x53832)+P1(f326(f326(f235(x53831),x53832),f2(x53831)))
% 197.76/197.84 [5443]~P67(x54432)+~P1(f326(f56(x54432),x54431))+P1(f326(x54431,f738(x54431,x54432)))
% 197.76/197.84 [5444]~P67(x54442)+~P1(f326(f56(x54442),x54441))+P1(f326(x54441,f746(x54441,x54442)))
% 197.76/197.84 [5485]E(x54851,f113(x54852))+P1(f326(f137(x54852),f114(x54852,x54851)))+~P1(f326(f137(x54852),x54851))
% 197.76/197.84 [5490]~P111(x54901)+~P1(f326(f61(x54901),x54902))+P1(f326(f137(x54901),f139(x54901,x54902)))
% 197.76/197.84 [5491]~P111(x54911)+~P1(f326(f61(x54911),x54912))+P1(f326(f137(x54911),f737(x54912,x54911)))
% 197.76/197.84 [5496]~P145(x54961)+E(f326(f100(x54961),f326(a104,x54962)),f326(f102(x54961),x54962))+P1(f326(f326(f235(a1),x54962),f2(a1)))
% 197.76/197.84 [5523]P9(x55232,x55231)+E(f326(x55231,f504(x55231)),f326(x55231,f508(x55231)))+P1(f326(f326(x55231,f504(x55231)),f508(x55231)))
% 197.76/197.84 [5536]E(f326(f100(a1),f361(x55361,x55362)),x55361)+P1(f326(x55362,f326(a104,x55361)))+~P1(f326(x55362,f2(a931)))
% 197.76/197.84 [5548]~P67(x55481)+~P1(f326(x55482,f751(x55482,x55481)))+P1(f326(f57(x55481),x55482))
% 197.76/197.84 [5549]~P67(x55491)+~P1(f326(x55492,f761(x55492,x55491)))+P1(f326(f57(x55491),x55492))
% 197.76/197.84 [5584]~P122(x55841)+~E(f81(x55841,x55842),f326(f78(x55841),f77(x55841)))+P1(f326(f326(f235(x55841),x55842),f2(x55841)))
% 197.76/197.84 [5658]~E(x56582,f2(a1))+E(f215(x56581,x56582),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P1(f326(f326(f235(a1),x56582),f2(a1)))
% 197.76/197.84 [5659]~E(x56591,f2(a1))+E(f215(x56591,x56592),f326(f326(f251(a1,a1),f2(a1)),f77(a1)))+P1(f326(f326(f235(a1),x56592),f2(a1)))
% 197.76/197.84 [5711]E(f326(f100(a1),f361(x57111,x57112)),x57111)+P1(f326(x57112,f326(a104,x57111)))+P1(f326(f326(f235(a1),x57111),f2(a1)))
% 197.76/197.84 [5778]~P122(x57781)+E(f81(x57781,x57782),f326(f78(x57781),f77(x57781)))+~P1(f326(f326(f235(x57781),x57782),f2(x57781)))
% 197.76/197.84 [5779]~P89(x57791)+E(f326(f75(x57791),x57792),f326(f78(x57791),x57792))+~P1(f326(f326(f234(x57791),x57792),f2(x57791)))
% 197.76/197.84 [5780]~P89(x57801)+E(f326(f75(x57801),x57802),f326(f78(x57801),x57802))+~P1(f326(f326(f235(x57801),x57802),f2(x57801)))
% 197.76/197.84 [5781]~P78(x57811)+E(f326(f75(x57811),x57812),f326(f78(x57811),x57812))+~P1(f326(f326(f235(x57811),x57812),f2(x57811)))
% 197.76/197.84 [5882]~P1(f326(x58821,f361(x58822,x58821)))+P1(f326(x58821,f326(a104,x58822)))+~P1(f326(x58821,f2(a931)))
% 197.76/197.84 [5889]E(x58891,f2(a931))+E(f326(a112,f851(x58892,x58891)),x58891)+~P1(f326(f326(f235(a931),x58891),f326(a112,x58892)))
% 197.76/197.84 [5893]P9(x58931,x58932)+~E(f326(x58932,f504(x58932)),f326(x58932,f508(x58932)))+~P1(f326(f326(x58932,f504(x58932)),f508(x58932)))
% 197.76/197.84 [5911]~P111(x59111)+P15(x59111,x59112)+P1(f326(f326(f234(a931),f720(x59112,x59111)),f721(x59112,x59111)))
% 197.76/197.84 [5912]~P111(x59121)+P15(x59121,x59122)+P1(f326(f326(f234(a931),f728(x59122,x59121)),f733(x59122,x59121)))
% 197.76/197.84 [5998]~P89(x59981)+~E(x59982,f2(x59981))+P1(f326(f326(f234(x59981),f326(f75(x59981),x59982)),f2(x59981)))
% 197.76/197.84 [6088]~P1(f326(x60881,f361(x60882,x60881)))+P1(f326(x60881,f326(a104,x60882)))+P1(f326(f326(f235(a1),x60882),f2(a1)))
% 197.76/197.84 [6114]~P1(f326(x61141,f326(a104,x61142)))+P1(f326(x61141,f2(a931)))+~P1(f326(f326(f235(a1),x61142),f2(a1)))
% 197.76/197.84 [6463]~P122(x64631)+~P1(f326(f326(f235(x64631),x64632),f2(x64631)))+P1(f326(f326(f235(x64631),f81(x64631,x64632)),f2(x64631)))
% 197.76/197.84 [6577]~P122(x65771)+P1(f326(f326(f234(x65771),f326(f102(x65771),x65772)),f2(x65771)))+~P1(f326(f326(f234(a1),x65772),f2(a1)))
% 197.76/197.84 [6578]~P122(x65781)+P1(f326(f326(f235(x65781),f326(f102(x65781),x65782)),f2(x65781)))+~P1(f326(f326(f235(a1),x65782),f2(a1)))
% 197.76/197.84 [6587]~P89(x65872)+E(x65871,f2(x65872))+~P1(f326(f326(f234(x65872),f326(f75(x65872),x65871)),f2(x65872)))
% 197.76/197.84 [6664]~P145(x66641)+~P1(f326(f326(f328(x66641),x66642),f109(x66641)))+P1(f326(f326(f328(x66641),f326(f78(x66641),x66642)),f109(x66641)))
% 197.76/197.84 [6696]~P122(x66961)+~P1(f326(f326(f235(x66961),f81(x66961,x66962)),f2(x66961)))+P1(f326(f326(f235(x66961),x66962),f2(x66961)))
% 197.76/197.84 [6869]~P122(x68692)+~P1(f326(f326(f234(x68692),f326(f102(x68692),x68691)),f2(x68692)))+P1(f326(f326(f234(a1),x68691),f2(a1)))
% 197.76/197.84 [6870]~P122(x68702)+~P1(f326(f326(f235(x68702),f326(f102(x68702),x68701)),f2(x68702)))+P1(f326(f326(f235(a1),x68701),f2(a1)))
% 197.76/197.84 [7376]~P81(x73761)+~P1(f326(f326(f234(x73761),x73762),f2(x73761)))+P1(f326(f326(f234(x73761),f326(f326(f79(x73761),x73762),x73762)),f2(x73761)))
% 197.76/197.84 [7377]~P122(x73771)+~P1(f326(f326(f235(x73771),x73772),f2(x73771)))+P1(f326(f326(f235(x73771),f326(f326(f79(x73771),x73772),x73772)),f2(x73771)))
% 197.76/197.84 [7378]~P81(x73781)+~P1(f326(f326(f235(x73781),x73782),f2(x73781)))+P1(f326(f326(f235(x73781),f326(f326(f79(x73781),x73782),x73782)),f2(x73781)))
% 197.76/197.84 [7959]~P81(x79591)+~P1(f326(f326(f234(x79591),f326(f326(f79(x79591),x79592),x79592)),f2(x79591)))+P1(f326(f326(f234(x79591),x79592),f2(x79591)))
% 197.76/197.84 [7960]~P122(x79601)+~P1(f326(f326(f235(x79601),f326(f326(f79(x79601),x79602),x79602)),f2(x79601)))+P1(f326(f326(f235(x79601),x79602),f2(x79601)))
% 197.76/197.84 [7961]~P81(x79611)+~P1(f326(f326(f235(x79611),f326(f326(f79(x79611),x79612),x79612)),f2(x79611)))+P1(f326(f326(f235(x79611),x79612),f2(x79611)))
% 197.76/197.84 [4978]~E(x49782,f77(a931))+~E(x49781,f77(a931))+E(f326(f326(f80(a931),x49781),x49782),f77(a931))
% 197.76/197.84 [4979]~E(x49792,f77(a1))+~E(x49791,f77(a1))+E(f326(f326(f80(a1),x49791),x49792),f77(a1))
% 197.76/197.84 [4980]~E(x49802,f2(a931))+~E(x49801,f2(a931))+E(f326(f326(f79(a931),x49801),x49802),f2(a931))
% 197.76/197.84 [5035]~P126(x50352)+E(x50351,f2(x50352))+E(f326(f326(f290(x50352),x50351),x50351),f77(x50352))
% 197.76/197.84 [5036]~P65(x50362)+E(x50361,f2(x50362))+E(f326(f326(f36(x50362),x50361),x50361),f77(x50362))
% 197.76/197.84 [5037]~P127(x50372)+E(x50371,f2(x50372))+E(f326(f326(f290(x50372),x50371),x50371),f77(x50372))
% 197.76/197.84 [5057]~P146(x50571)+~E(x50572,f77(x50571))+E(f326(f326(f80(x50571),x50572),x50572),f77(x50571))
% 197.76/197.84 [5058]~P81(x50581)+~E(x50582,f2(x50581))+E(f326(f326(f79(x50581),x50582),x50582),f2(x50581))
% 197.76/197.84 [5059]~P127(x50591)+~E(x50592,f2(x50591))+E(f326(f326(f290(x50591),x50592),x50592),f2(x50591))
% 197.76/197.84 [5104]~E(x51042,f2(a931))+~E(x51041,f2(a931))+E(f326(f78(a1),f326(f100(a1),x51041)),f326(f100(a1),x51042))
% 197.76/197.84 [5123]E(x51231,f77(a931))+E(x51232,f2(a931))+~E(f326(f326(f80(a931),x51232),x51231),x51232)
% 197.76/197.84 [5135]E(x51351,f2(a931))+E(x51352,f2(a931))+~E(f326(f326(f80(a931),x51352),x51351),f2(a931))
% 197.76/197.84 [5162]~E(x51622,f2(a931))+~E(x51621,f326(a112,f2(a931)))+E(f326(f326(f79(a931),x51621),x51622),f326(a112,f2(a931)))
% 197.76/197.84 [5163]~E(x51631,f2(a931))+~E(x51632,f326(a112,f2(a931)))+E(f326(f326(f79(a931),x51631),x51632),f326(a112,f2(a931)))
% 197.76/197.84 [5170]E(x51701,f77(a1))+E(x51702,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51701),x51702),f77(a1))
% 197.76/197.84 [5171]E(x51711,f77(a1))+E(x51712,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51712),x51711),f77(a1))
% 197.76/197.84 [5172]E(x51721,f77(a1))+E(x51721,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51722),x51721),f77(a1))
% 197.76/197.84 [5174]E(x51741,f77(a1))+E(x51741,f326(f103(a1),a97))+~E(f326(f326(f80(a1),x51741),x51742),f77(a1))
% 197.76/197.84 [5195]~P81(x51952)+E(x51951,f2(x51952))+~E(f326(f326(f79(x51952),x51951),x51951),f2(x51952))
% 197.76/197.84 [5201]~E(x52011,f326(f103(a1),a97))+~E(x52012,f326(f103(a1),a97))+E(f326(f326(f80(a1),x52011),x52012),f77(a1))
% 197.76/197.84 [5212]E(x52121,f2(a931))+E(x52122,f2(a931))+~E(f326(f326(f79(a931),x52122),x52121),f326(a112,f2(a931)))
% 197.76/197.84 [5222]~P68(x52221)+~P98(x52221)+E(f326(f326(f290(x52221),x52222),f326(f103(x52221),a82)),f2(x52221))
% 197.76/197.84 [5228]~P146(x52281)+~E(x52282,f326(f78(x52281),f77(x52281)))+E(f326(f326(f80(x52281),x52282),x52282),f77(x52281))
% 197.76/197.84 [5233]~P8(x52332)+~P8(x52331)+P8(f326(f326(f80(a1),x52331),x52332))
% 197.76/197.84 [5234]~P8(x52342)+~P8(x52341)+P8(f326(f326(f79(a1),x52341),x52342))
% 197.76/197.84 [5235]~P8(x52352)+~P8(x52351)+P8(f326(f326(f36(a1),x52351),x52352))
% 197.76/197.84 [5237]~E(x52372,f2(a1))+E(x52371,f2(a1))+E(f46(x52371,x52372),f326(f326(f251(a1,a1),f2(a1)),x52371))
% 197.76/197.84 [5259]~E(x52592,f326(a112,f2(a931)))+~E(x52591,f326(a112,f2(a931)))+E(f326(f326(f80(a931),x52591),x52592),f326(a112,f2(a931)))
% 197.76/197.84 [5276]E(x52761,f2(a931))+E(x52762,f326(a112,f2(a931)))+~E(f326(f326(f243(a931),x52762),x52761),f326(a112,f2(a931)))
% 197.76/197.84 [5277]E(x52771,f2(a931))+E(x52771,f326(a112,f2(a931)))+~E(f326(f326(f79(a931),x52772),x52771),f326(a112,f2(a931)))
% 197.76/197.84 [5278]E(x52781,f2(a931))+E(x52781,f326(a112,f2(a931)))+~E(f326(f326(f79(a931),x52781),x52782),f326(a112,f2(a931)))
% 197.76/197.84 [5287]~P68(x52871)+~P98(x52871)+E(f326(f326(f290(x52871),x52872),f326(f103(x52871),a97)),f326(f78(x52871),x52872))
% 197.76/197.84 [5307]E(x53071,f326(a104,x53072))+~E(x53071,f2(a931))+P1(f326(f326(f234(a1),f2(a1)),x53072))
% 197.76/197.84 [5308]E(f326(a104,x53081),x53082)+~E(x53082,f2(a931))+P1(f326(f326(f234(a1),f2(a1)),x53081))
% 197.76/197.84 [5324]E(x53241,f326(a112,f2(a931)))+E(x53242,f326(a112,f2(a931)))+~E(f326(f326(f79(a931),x53241),x53242),f326(a112,f2(a931)))
% 197.76/197.84 [5335]~E(x53351,f326(a104,x53352))+E(x53351,f2(a931))+P1(f326(f326(f234(a1),f2(a1)),x53352))
% 197.76/197.84 [5336]~E(f326(a104,x53362),x53361)+E(x53361,f2(a931))+P1(f326(f326(f234(a1),f2(a1)),x53362))
% 197.76/197.84 [5358]~P3(x53581)+E(f326(f63(x53581,f110(x53581)),x53582),f12(x53581,x53582))+~P1(f326(f61(x53581),x53582))
% 197.76/197.84 [5359]~P3(x53591)+E(f326(f63(x53591,f101(x53591)),x53592),f13(x53591,x53592))+~P1(f326(f61(x53591),x53592))
% 197.76/197.84 [5360]~P111(x53601)+E(f326(f63(x53601,f232(x53601)),x53602),f16(x53601,x53602))+~P1(f326(f61(x53601),x53602))
% 197.76/197.84 [5361]~P111(x53611)+E(f326(f63(x53611,f233(x53611)),x53612),f17(x53611,x53612))+~P1(f326(f61(x53611),x53612))
% 197.76/197.84 [5438]E(x54381,x54382)+~E(f326(f326(f3(a931),x54382),x54381),f2(a931))+~E(f326(f326(f3(a931),x54381),x54382),f2(a931))
% 197.76/197.84 [5456]P8(x54561)+~P44(x54562)+~P1(f326(f326(f328(a1),x54561),x54562))
% 197.76/197.84 [5486]~P122(x54861)+~E(f81(x54861,x54862),f77(x54861))+P1(f326(f326(f235(x54861),f2(x54861)),x54862))
% 197.76/197.84 [5497]~P98(x54971)+E(f326(f100(x54971),f326(f103(a931),x54972)),f326(f103(x54971),x54972))+P1(f326(a193,f326(f103(a1),x54972)))
% 197.76/197.84 [5502]~P49(x55021,x55022)+P50(a927)+P1(f326(f61(f938(x55021,x55021)),x55022))
% 197.76/197.84 [5576]~P111(x55761)+E(f326(f63(x55761,f232(x55761)),x55762),f14(x55761,f232(x55761),x55762))+~P1(f326(f61(x55761),x55762))
% 197.76/197.84 [5577]~P111(x55771)+E(f326(f63(x55771,f233(x55771)),x55772),f15(x55771,f233(x55771),x55772))+~P1(f326(f61(x55771),x55772))
% 197.76/197.84 [5591]E(x55911,x55912)+P1(f326(f326(f235(a931),x55912),x55911))+P1(f326(f326(f235(a931),x55911),x55912))
% 197.76/197.84 [5592]E(x55921,x55922)+P1(f326(f326(f235(a1),x55922),x55921))+P1(f326(f326(f235(a1),x55921),x55922))
% 197.76/197.84 [5645]~P98(x56451)+E(f326(f100(x56451),f326(f103(a931),x56452)),f2(x56451))+~P1(f326(a193,f326(f103(a1),x56452)))
% 197.76/197.84 [5648]~E(x56482,f326(a104,x56481))+E(x56481,f326(f100(a1),x56482))+~P1(f326(f326(f234(a1),f2(a1)),x56481))
% 197.76/197.84 [5649]~E(f326(a104,x56491),x56492)+E(x56491,f326(f100(a1),x56492))+~P1(f326(f326(f234(a1),f2(a1)),x56491))
% 197.76/197.84 [5650]~E(x56501,f326(a104,x56502))+E(f326(f100(a1),x56501),x56502)+~P1(f326(f326(f234(a1),f2(a1)),x56502))
% 197.76/197.84 [5660]E(x56601,f326(a104,x56602))+~E(x56602,f326(f100(a1),x56601))+~P1(f326(f326(f234(a1),f2(a1)),x56602))
% 197.76/197.84 [5661]E(f326(a104,x56611),x56612)+~E(x56611,f326(f100(a1),x56612))+~P1(f326(f326(f234(a1),f2(a1)),x56611))
% 197.76/197.84 [5702]~P89(x57022)+E(x57021,f2(x57022))+P1(f326(f326(f235(x57022),f2(x57022)),f326(f75(x57022),x57021)))
% 197.76/197.84 [5767]~P122(x57671)+E(f81(x57671,x57672),f77(x57671))+~P1(f326(f326(f235(x57671),f2(x57671)),x57672))
% 197.76/197.84 [5771]~P98(x57711)+E(f326(f100(x57711),f326(f103(a931),x57712)),f2(x57711))+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x57712)))
% 197.76/197.84 [5782]~P89(x57821)+E(f326(f75(x57821),x57822),x57822)+~P1(f326(f326(f234(x57821),f2(x57821)),x57822))
% 197.76/197.84 [5783]~P89(x57831)+E(f326(f75(x57831),x57832),x57832)+~P1(f326(f326(f235(x57831),f2(x57831)),x57832))
% 197.76/197.84 [5792]E(x57921,f2(a931))+~E(f139(a931,f326(f301(a931,x57922),x57921)),f113(a931))+P1(f326(f326(f234(a931),x57921),x57922))
% 197.76/197.84 [5803]~P79(x58031)+E(f326(f326(f8(x58031,x58031),f7(x58031)),f326(f172(x58031),x58032)),f326(f165(x58031),x58032))+~P1(f326(f137(x58031),x58032))
% 197.76/197.84 [5806]~P145(x58061)+E(f326(f100(x58061),f326(a104,x58062)),f326(f102(x58061),x58062))+~P1(f326(f326(f234(a1),f2(a1)),x58062))
% 197.76/197.84 [5833]E(x58331,x58332)+P1(f326(f326(f235(a931),x58331),x58332))+~P1(f326(f326(f234(a931),x58331),x58332))
% 197.76/197.84 [5834]E(x58341,x58342)+P1(f326(f326(f235(a1),x58341),x58342))+~P1(f326(f326(f234(a1),x58341),x58342))
% 197.76/197.84 [5837]E(x58371,f77(a1))+~E(f326(f326(f80(a1),x58372),x58371),f77(a1))+~P1(f326(f326(f235(a1),f2(a1)),x58372))
% 197.76/197.84 [5838]E(x58381,f77(a1))+~E(f326(f326(f80(a1),x58381),x58382),f77(a1))+~P1(f326(f326(f235(a1),f2(a1)),x58381))
% 197.76/197.84 [5879]~P44(x58792)+P1(f326(f326(f234(a1),f2(a1)),x58791))+~P1(f326(f326(f328(a1),x58791),x58792))
% 197.76/197.84 [5898]~P62(x58981,x58982)+P41(x58981,x58982)+~P1(f326(f61(f938(x58981,x58981)),x58982))
% 197.76/197.84 [5900]~P62(x59001,x59002)+P49(x59001,x59002)+~P1(f326(f61(f938(x59001,x59001)),x59002))
% 197.76/197.84 [5942]E(x59421,f188(f939(x59422,a927)))+~P1(f326(f61(x59422),x59421))+P1(f326(f326(f235(a931),f2(a931)),f326(f35(x59422),x59421)))
% 197.76/197.84 [5969]~P1(f326(x59691,x59692))+P1(f326(x59691,f2(a931)))+P1(f326(f326(f235(a931),f899(x59692,x59691)),x59692))
% 197.76/197.84 [5992]E(x59921,f2(a931))+~E(f326(f165(a931),x59922),f2(a931))+~P1(f326(f326(f328(a931),x59921),f326(f172(a931),x59922)))
% 197.76/197.84 [6060]E(x60601,x60602)+~P1(f326(f326(f234(a931),x60602),x60601))+~P1(f326(f326(f234(a931),x60601),x60602))
% 197.76/197.84 [6061]E(x60611,x60612)+~P1(f326(f326(f234(a1),x60612),x60611))+~P1(f326(f326(f234(a1),x60611),x60612))
% 197.76/197.84 [6063]E(f326(f35(x60631),x60632),f2(a931))+~P1(f326(f61(x60631),x60632))+P1(f326(f326(f328(x60631),f904(x60632,x60631)),x60632))
% 197.76/197.84 [6072]E(f50(x60721,x60722),f46(x60721,x60722))+P1(f326(f326(f234(a1),f2(a1)),x60721))+~P1(f326(f326(f235(a1),f2(a1)),x60722))
% 197.76/197.84 [6101]~P1(f326(x61011,f353(x61011)))+P1(f326(x61011,f326(a104,x61012)))+~P1(f326(f326(f234(a1),f2(a1)),x61012))
% 197.76/197.84 [6104]P1(f326(f326(f234(a931),x61041),f418(x61042)))+~P1(f326(f61(a931),x61042))+~P1(f326(f326(f328(a931),x61041),x61042))
% 197.76/197.84 [6105]P1(f326(f326(f235(a931),x61051),f370(x61052)))+~P1(f326(f61(a931),x61052))+~P1(f326(f326(f328(a931),x61051),x61052))
% 197.76/197.84 [6136]E(x61361,x61362)+~P1(f326(f326(f235(a931),x61361),f326(a112,x61362)))+P1(f326(f326(f235(a931),x61361),x61362))
% 197.76/197.84 [6172]E(x61721,f326(a112,x61722))+~P1(f326(f326(f234(a931),x61721),f326(a112,x61722)))+P1(f326(f326(f234(a931),x61721),x61722))
% 197.76/197.84 [6188]P1(f326(x61881,f360(x61881)))+~P1(f326(x61881,f326(a104,x61882)))+~P1(f326(f326(f234(a1),f2(a1)),x61882))
% 197.76/197.84 [6204]~P1(f326(x62041,x62042))+~P1(f326(f326(f234(a1),f2(a1)),x62042))+P1(f326(x62041,f326(f100(a1),f923(x62041))))
% 197.76/197.84 [6215]~P89(x62152)+~E(x62151,f2(x62152))+~P1(f326(f326(f235(x62152),f2(x62152)),f326(f75(x62152),x62151)))
% 197.76/197.84 [6240]~P62(x62401,x62402)+P41(x62401,f326(f285(x62401,x62401),x62402))+~P1(f326(f61(f938(x62401,x62401)),x62402))
% 197.76/197.84 [6249]~P98(x62491)+E(f326(f100(x62491),f326(f103(a931),x62492)),f326(f103(x62491),x62492))+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x62492)))
% 197.76/197.84 [6252]E(f326(a112,x62521),x62522)+~P1(f326(f326(f235(a931),x62521),x62522))+P1(f326(f326(f235(a931),f326(a112,x62521)),x62522))
% 197.76/197.84 [6268]E(f326(f326(f36(a1),x62681),x62682),f2(a1))+~P1(f326(f326(f234(a1),x62681),f2(a1)))+~P1(f326(f326(f235(a1),x62682),x62681))
% 197.76/197.84 [6278]E(f45(a1,x62781,x62782),x62781)+~P1(f326(f326(f234(a1),x62781),f2(a1)))+~P1(f326(f326(f235(a1),x62782),x62781))
% 197.76/197.84 [6292]E(f47(x62921,x62922),f46(x62921,x62922))+~P1(f326(f326(f234(a1),f2(a1)),x62921))+~P1(f326(f326(f234(a1),f2(a1)),x62922))
% 197.76/197.84 [6302]E(f326(f326(f36(a1),x63021),x63022),f2(a1))+~P1(f326(f326(f234(a1),f2(a1)),x63021))+~P1(f326(f326(f235(a1),x63021),x63022))
% 197.76/197.84 [6316]E(f45(a931,f326(f103(a931),x63161),f326(f103(a931),x63162)),f326(f103(a931),x63161))+P1(f326(a193,f326(f103(a1),x63161)))+~P1(f326(a193,f326(f103(a1),x63162)))
% 197.76/197.84 [6318]E(f45(a1,x63181,x63182),x63181)+~P1(f326(f326(f234(a1),f2(a1)),x63181))+~P1(f326(f326(f235(a1),x63181),x63182))
% 197.76/197.84 [6319]E(x63191,x63192)+~P1(f326(f326(f235(a931),x63191),f326(a112,x63192)))+~P1(f326(f326(f234(a931),x63192),x63191))
% 197.76/197.84 [6333]~P81(x63331)+~P1(f326(f326(f234(x63331),x63332),f2(x63331)))+P1(f326(f326(f234(x63331),x63332),f326(f78(x63331),x63332)))
% 197.76/197.84 [6334]~P122(x63341)+~P1(f326(f326(f235(x63341),x63342),f2(x63341)))+P1(f326(f326(f235(x63341),x63342),f326(f78(x63341),x63342)))
% 197.76/197.84 [6344]~P7(x63441)+E(f326(f326(f64(x63441,x63441,f110(x63441)),f188(x63441)),x63442),f37(x63441,x63442))+~P1(f326(f61(x63441),x63442))
% 197.76/197.84 [6345]~P7(x63451)+E(f326(f326(f64(x63451,x63451,f101(x63451)),f241(x63451)),x63452),f38(x63451,x63452))+~P1(f326(f61(x63451),x63452))
% 197.76/197.84 [6362]~P122(x63621)+~P1(f326(f326(f234(a1),f2(a1)),x63622))+P1(f326(f326(f234(x63621),f2(x63621)),f326(f102(x63621),x63622)))
% 197.76/197.84 [6363]~P114(x63631)+~P1(f326(f326(f235(a931),f2(a931)),x63632))+P1(f326(f326(f235(x63631),f2(x63631)),f326(f100(x63631),x63632)))
% 197.76/197.84 [6364]~P122(x63641)+~P1(f326(f326(f235(a1),f2(a1)),x63642))+P1(f326(f326(f235(x63641),f2(x63641)),f326(f102(x63641),x63642)))
% 197.76/197.84 [6367]~P8(x63672)+~P8(x63671)+E(f326(f309(a931,a1,f100(a1)),f302(a931,f326(a104,x63671),f326(a104,x63672))),f302(a1,x63671,x63672))
% 197.76/197.84 [6373]P1(f326(x63731,x63732))+~P1(f326(f326(f234(a1),f2(a1)),x63732))+~P1(f326(x63731,f326(f100(a1),f924(x63731))))
% 197.76/197.84 [6403]E(f326(f326(f79(a931),f326(f103(a931),x64031)),f326(f103(a931),x64032)),f326(f103(a931),x64031))+P1(f326(f326(f235(a1),x64031),a82))+~P1(f326(f326(f235(a1),x64032),a82))
% 197.76/197.84 [6407]~P122(x64071)+P1(f326(f326(f235(x64071),f2(x64071)),f81(x64071,x64072)))+~P1(f326(f326(f235(x64071),f2(x64071)),x64072))
% 197.76/197.84 [6419]~P83(x64191)+~P1(f326(f326(f234(x64191),x64192),f2(x64191)))+P1(f326(f326(f234(x64191),f2(x64191)),f326(f78(x64191),x64192)))
% 197.76/197.84 [6420]~P83(x64201)+~P1(f326(f326(f235(x64201),x64202),f2(x64201)))+P1(f326(f326(f235(x64201),f2(x64201)),f326(f78(x64201),x64202)))
% 197.76/197.84 [6423]E(x64231,f241(f939(x64232,a927)))+~E(f326(f35(x64232),x64231),f326(f35(x64232),f241(f939(x64232,a927))))+~P1(f326(f61(x64232),f241(f939(x64232,a927))))
% 197.76/197.84 [6455]~P81(x64551)+P1(f326(f326(f234(x64551),x64552),f2(x64551)))+~P1(f326(f326(f234(x64551),x64552),f326(f78(x64551),x64552)))
% 197.76/197.84 [6456]~P122(x64561)+P1(f326(f326(f235(x64561),x64562),f2(x64561)))+~P1(f326(f326(f235(x64561),x64562),f326(f78(x64561),x64562)))
% 197.76/197.84 [6465]~P98(x64651)+P1(f326(f326(f328(x64651),f326(f103(x64651),x64652)),f186(x64651)))+~P1(f326(f326(f234(a1),a82),x64652))
% 197.76/197.84 [6494]E(x64941,f2(a931))+~P1(f326(f326(f235(a931),x64941),f326(a112,x64942)))+P1(f326(f326(f235(a931),f851(x64942,x64941)),x64942))
% 197.76/197.84 [6516]~P122(x65161)+~P1(f326(f326(f235(x65161),f2(x65161)),f81(x65161,x65162)))+P1(f326(f326(f235(x65161),f2(x65161)),x65162))
% 197.76/197.84 [6518]~E(f326(f103(a931),x65182),f326(f103(a931),x65181))+P1(f326(f326(f234(a1),f326(f103(a1),x65181)),f2(a1)))+~P1(f326(a193,f326(f103(a1),x65182)))
% 197.76/197.84 [6547]E(f326(f250(a1,a1),f50(x65471,x65472)),f326(f326(f36(a1),x65471),x65472))+~P1(f326(f326(f235(a1),x65471),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x65472))
% 197.76/197.84 [6585]E(f326(f255(a1,a1),f50(x65851,x65852)),f45(a1,x65851,x65852))+~P1(f326(f326(f235(a1),x65851),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x65852))
% 197.76/197.84 [6588]~P122(x65882)+~P1(f326(f326(f234(x65882),f2(x65882)),f326(f102(x65882),x65881)))+P1(f326(f326(f234(a1),f2(a1)),x65881))
% 197.76/197.84 [6589]~P114(x65892)+~P1(f326(f326(f235(x65892),f2(x65892)),f326(f100(x65892),x65891)))+P1(f326(f326(f235(a931),f2(a931)),x65891))
% 197.76/197.84 [6590]~P122(x65902)+~P1(f326(f326(f235(x65902),f2(x65902)),f326(f102(x65902),x65901)))+P1(f326(f326(f235(a1),f2(a1)),x65901))
% 197.76/197.84 [6594]E(f326(f250(a1,a1),f47(x65941,x65942)),f326(f326(f36(a1),x65941),x65942))+~P1(f326(f326(f234(a1),f2(a1)),x65942))+~P1(f326(f326(f235(a1),f2(a1)),x65941))
% 197.76/197.84 [6608]E(f326(f255(a1,a1),f47(x66081,x66082)),f45(a1,x66081,x66082))+~P1(f326(f326(f234(a1),f2(a1)),x66082))+~P1(f326(f326(f235(a1),f2(a1)),x66081))
% 197.76/197.84 [6623]~P83(x66231)+P1(f326(f326(f234(x66231),x66232),f2(x66231)))+~P1(f326(f326(f234(x66231),f2(x66231)),f326(f78(x66231),x66232)))
% 197.76/197.84 [6624]~P83(x66241)+P1(f326(f326(f235(x66241),x66242),f2(x66241)))+~P1(f326(f326(f235(x66241),f2(x66241)),f326(f78(x66241),x66242)))
% 197.76/197.84 [6650]P1(f326(f49(x66501,x66502),f50(x66501,x66502)))+~P1(f326(f326(f235(a1),x66501),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x66502))
% 197.76/197.84 [6676]P1(f326(f49(x66761,x66762),f47(x66761,x66762)))+~P1(f326(f326(f234(a1),f2(a1)),x66761))+~P1(f326(f326(f235(a1),f2(a1)),x66762))
% 197.76/197.84 [6720]~P83(x67201)+P1(f326(f326(f234(x67201),f326(f78(x67201),x67202)),f2(x67201)))+~P1(f326(f326(f234(x67201),f2(x67201)),x67202))
% 197.76/197.84 [6721]~P83(x67211)+P1(f326(f326(f235(x67211),f326(f78(x67211),x67212)),f2(x67211)))+~P1(f326(f326(f235(x67211),f2(x67211)),x67212))
% 197.76/197.84 [6739]E(f326(f326(f3(a931),f326(a104,x67391)),f326(a104,x67392)),f326(a104,f194(x67391,x67392)))+~P1(f326(f326(f234(a1),f2(a1)),x67392))+~P1(f326(f326(f234(a1),f2(a1)),x67391))
% 197.76/197.84 [6757]P1(f326(f326(f234(a1),f2(a1)),f194(x67571,x67572)))+~P1(f326(f326(f234(a1),f2(a1)),x67572))+~P1(f326(f326(f234(a1),f2(a1)),x67571))
% 197.76/197.84 [6794]~P1(f326(x67941,x67942))+P1(f326(x67941,f2(a931)))+P1(f326(x67941,f326(f326(f79(a931),f899(x67942,x67941)),f77(a931))))
% 197.76/197.84 [6876]E(f326(f103(a931),x68761),f326(f103(a931),x68762))+~P1(f326(f326(f234(a1),f326(f103(a1),x68762)),f2(a1)))+~P1(f326(a193,f326(f103(a1),x68761)))
% 197.76/197.84 [6888]~E(x68881,f2(a931))+~E(f687(x68882,x68881),f2(a931))+E(f326(f142(a931,a931,f79(a931),x68881),x68882),f2(a931))
% 197.76/197.84 [6912]~P1(f326(f61(x69121),f914(x69122,x69121)))+~P1(f326(f61(f939(x69121,a927)),x69122))+P1(f326(f61(x69121),f37(f939(x69121,a927),x69122)))
% 197.76/197.84 [6918]E(x69181,x69182)+P1(f326(f326(f235(a1),x69181),x69182))+~P1(f326(f326(f235(a1),x69181),f326(f326(f79(a1),x69182),f77(a1))))
% 197.76/197.84 [6919]P1(f326(f326(f234(a931),f326(a104,x69191)),f326(a104,x69192)))+~P1(f326(f326(f234(a1),f2(a1)),x69192))+~P1(f326(f326(f234(a1),x69191),x69192))
% 197.76/197.84 [6920]P1(f326(f326(f234(a931),f326(a104,x69201)),f326(a104,x69202)))+~P1(f326(f326(f235(a1),f2(a1)),x69201))+~P1(f326(f326(f234(a1),x69201),x69202))
% 197.76/197.84 [6922]P1(f326(f326(f235(a931),f326(a104,x69221)),f326(a104,x69222)))+~P1(f326(f326(f234(a1),f2(a1)),x69221))+~P1(f326(f326(f235(a1),x69221),x69222))
% 197.76/197.84 [6923]P1(f326(f326(f235(a931),f326(a104,x69231)),f326(a104,x69232)))+~P1(f326(f326(f235(a1),f2(a1)),x69232))+~P1(f326(f326(f235(a1),x69231),x69232))
% 197.76/197.84 [6934]E(f45(a931,f326(a104,x69341),f326(a104,x69342)),f326(a104,f45(a1,x69341,x69342)))+~P1(f326(f326(f234(a1),f2(a1)),x69342))+~P1(f326(f326(f234(a1),f2(a1)),x69341))
% 197.76/197.84 [6957]~P83(x69571)+~P1(f326(f326(f234(x69571),f326(f78(x69571),x69572)),f2(x69571)))+P1(f326(f326(f234(x69571),f2(x69571)),x69572))
% 197.76/197.84 [6958]~P83(x69581)+~P1(f326(f326(f235(x69581),f326(f78(x69581),x69582)),f2(x69581)))+P1(f326(f326(f235(x69581),f2(x69581)),x69582))
% 197.76/197.84 [6972]~P1(f326(f326(f235(a1),a82),x69722))+~P1(f326(f326(f235(a1),x69721),x69722))+P1(f326(f326(f235(a931),f326(f103(a931),x69721)),f326(f103(a931),x69722)))
% 197.76/197.84 [7064]~P1(f326(f326(f234(a1),f2(a1)),x70641))+P1(f326(f326(f235(a931),f326(a104,x70641)),x70642))+~P1(f326(f326(f235(a1),x70641),f326(f100(a1),x70642)))
% 197.76/197.84 [7069]P1(f326(x70691,x70692))+~P1(f326(x70691,f326(a22,f822(x70691,x70692))))+~P1(f326(f326(f328(a931),x70692),f241(f939(a931,a927))))
% 197.76/197.84 [7080]E(x70801,f2(a1))+E(f45(a1,x70802,x70801),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f36(a1),x70802),x70801))),f77(a1)),f326(f326(f36(a1),x70802),f326(f78(a1),x70801)))
% 197.76/197.84 [7094]~P1(f326(f326(f234(a1),f2(a1)),x70941))+~P1(f326(f326(f235(a931),f326(a104,x70941)),x70942))+P1(f326(f326(f235(a1),x70941),f326(f100(a1),x70942)))
% 197.76/197.84 [7130]~P1(f326(f326(f234(a931),f326(a104,x71301)),f326(a104,x71302)))+~P1(f326(f326(f234(a1),f2(a1)),x71302))+P1(f326(f326(f234(a1),x71301),x71302))
% 197.76/197.84 [7131]~P1(f326(f326(f234(a931),f326(a104,x71311)),f326(a104,x71312)))+~P1(f326(f326(f235(a1),f2(a1)),x71311))+P1(f326(f326(f234(a1),x71311),x71312))
% 197.76/197.84 [7160]P1(f326(f326(f234(a1),x71601),x71602))+~P1(f326(f326(f234(a931),f326(f103(a931),x71601)),f326(f103(a931),x71602)))+P1(f326(f326(f234(a1),x71601),a82))
% 197.76/197.84 [7187]P1(f326(f326(f234(a1),f2(a1)),f45(a1,x71871,x71872)))+~P1(f326(f326(f234(a1),f2(a1)),x71872))+~P1(f326(f326(f234(a1),f2(a1)),x71871))
% 197.76/197.84 [7284]P1(f326(f326(f235(a1),a82),x72841))+~P1(f326(f326(f235(a1),x72842),x72841))+~P1(f326(f326(f235(a931),f326(f103(a931),x72842)),f326(f103(a931),x72841)))
% 197.76/197.84 [7338]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x73381),x73382)),f45(a1,x73381,x73382)),f50(x73381,x73382))+~P1(f326(f326(f235(a1),x73381),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x73382))
% 197.76/197.84 [7358]E(f326(f326(f251(a1,a1),f326(f326(f36(a1),x73581),x73582)),f45(a1,x73581,x73582)),f47(x73581,x73582))+~P1(f326(f326(f234(a1),f2(a1)),x73582))+~P1(f326(f326(f234(a1),f2(a1)),x73581))
% 197.76/197.84 [7412]~P100(x74122)+E(x74121,f113(x74122))+E(f326(f142(x74122,x74122,f80(x74122),f326(f141(x74122),x74121)),f326(f171(x74122),x74121)),f326(f63(x74122,f80(x74122)),f326(f172(x74122),x74121)))
% 197.76/197.84 [7532]~E(x75321,f2(a931))+E(f326(f142(a931,a931,f79(a931),x75321),x75322),f2(a931))+P1(f326(f326(f328(a931),f687(x75322,x75321)),f326(f172(a931),x75322)))
% 197.76/197.84 [7584]~P1(f326(f326(f234(a1),x75841),f2(a1)))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x75841),x75842)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x75842))
% 197.76/197.84 [7585]~P1(f326(f326(f235(a1),x75852),f2(a1)))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x75851),x75852)),f2(a1)))+~P1(f326(f326(f234(a1),f2(a1)),x75851))
% 197.76/197.84 [7586]~P1(f326(f326(f235(a1),x75862),f2(a1)))+P1(f326(f326(f235(a1),f326(f326(f36(a1),x75861),x75862)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x75861))
% 197.76/197.84 [7588]~P1(f326(f326(f235(a1),x75881),f2(a1)))+P1(f326(f326(f235(a1),f326(f326(f36(a1),x75881),x75882)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x75882))
% 197.76/197.84 [7594]P1(f326(f326(f328(f939(x75941,a927)),f914(x75942,x75941)),x75942))+~P1(f326(f61(f939(x75941,a927)),x75942))+P1(f326(f61(x75941),f37(f939(x75941,a927),x75942)))
% 197.76/197.84 [7690]P27(x76901,x76901,x76902,f241(f939(x76901,a927)))+~E(f326(f309(x76901,x76901,x76902),f241(f939(x76901,a927))),f241(f939(x76901,a927)))+~P1(f326(f61(x76901),f241(f939(x76901,a927))))
% 197.76/197.84 [7814]~P27(x78141,x78141,x78142,f241(f939(x78141,a927)))+E(f326(f309(x78141,x78141,x78142),f241(f939(x78141,a927))),f241(f939(x78141,a927)))+~P1(f326(f61(x78141),f241(f939(x78141,a927))))
% 197.76/197.84 [7953]E(f326(f326(f36(a1),x79531),x79532),f326(f103(a1),a97))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x79531),x79532)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x79531))
% 197.76/197.84 [8009]~P1(f326(f326(f235(a1),x80092),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f36(a1),x80091),x80092)),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x80091))
% 197.76/197.84 [8014]E(f326(f326(f79(a1),x80141),x80142),f45(a1,x80141,x80142))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),x80141),x80142)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x80141))
% 197.76/197.84 [8017]P1(f326(f326(f235(a1),x80171),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f36(a1),x80171),x80172)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x80172))
% 197.76/197.84 [8720]~P111(x87201)+P15(x87201,x87202)+~P1(f326(f326(f234(x87201),f326(f326(f164(x87201),x87202),f720(x87202,x87201))),f326(f326(f164(x87201),x87202),f721(x87202,x87201))))
% 197.76/197.84 [8721]~P111(x87211)+P15(x87211,x87212)+~P1(f326(f326(f234(x87211),f326(f326(f164(x87211),x87212),f728(x87212,x87211))),f326(f326(f164(x87211),x87212),f733(x87212,x87211))))
% 197.76/197.84 [5935]E(x59351,f2(a1))+~E(f45(a1,x59352,x59351),f2(a1))+E(f326(f326(f36(a1),x59352),f326(f78(a1),x59351)),f326(f78(a1),f326(f326(f36(a1),x59352),x59351)))
% 197.76/197.84 [5953]~P44(x59532)+~P44(x59531)+P44(f326(f326(f110(f939(a1,a927)),x59531),x59532))
% 197.76/197.84 [5954]~P44(x59542)+~P44(x59541)+P44(f326(f326(f101(f939(a1,a927)),x59541),x59542))
% 197.76/197.84 [5972]~P68(x59721)+~P98(x59721)+E(f326(f78(x59721),f326(f326(f290(x59721),f77(x59721)),x59722)),f326(f326(f290(x59721),f326(f103(x59721),a97)),x59722))
% 197.76/197.84 [6093]E(x60931,f2(a1))+~E(f45(a1,x60932,x60931),f2(a1))+E(f326(f326(f36(a1),f326(f78(a1),x60932)),x60931),f326(f78(a1),f326(f326(f36(a1),x60932),x60931)))
% 197.76/197.84 [6234]~P111(x62341)+P15(x62341,x62342)+P1(f326(f326(f235(a931),f721(x62342,x62341)),f326(f189(f932(x62341)),x62342)))
% 197.76/197.84 [6235]~P111(x62351)+P15(x62351,x62352)+P1(f326(f326(f235(a931),f733(x62352,x62351)),f326(f189(f932(x62351)),x62352)))
% 197.76/197.84 [6397]~P98(x63971)+~E(f326(f103(x63971),x63972),f2(x63971))+P32(x63971,f326(f103(x63971),f326(f326(f79(a1),x63972),f326(f78(a1),a82))))
% 197.76/197.84 [6398]~P98(x63981)+~E(f326(f103(x63981),x63982),f2(x63981))+P32(x63981,f326(f103(x63981),f326(f326(f79(a1),a82),f326(f78(a1),x63982))))
% 197.76/197.84 [6400]E(f326(a51,f47(f326(f78(a1),x64001),f326(f78(a1),x64002))),f46(x64001,x64002))+P1(f326(f326(f234(a1),f2(a1)),x64001))+P1(f326(f326(f235(a1),f2(a1)),x64002))
% 197.76/197.84 [6524]~E(x65242,f2(a931))+~E(x65241,f2(a931))+P1(f326(f326(f234(a1),f326(f100(a1),x65241)),f326(f78(a1),f326(f100(a1),x65242))))
% 197.76/197.84 [6553]E(f326(f326(f79(a931),f326(f103(a931),x65531)),f326(f103(a931),x65532)),f326(f103(a931),f326(f326(f79(a1),x65531),x65532)))+P1(f326(f326(f235(a1),x65531),a82))+P1(f326(f326(f235(a1),x65532),a82))
% 197.76/197.84 [6685]~P81(x66851)+~P1(f326(f326(f234(x66851),f2(x66851)),x66852))+P1(f326(f326(f234(x66851),f326(f78(x66851),x66852)),x66852))
% 197.76/197.84 [6686]~P81(x66861)+~P1(f326(f326(f235(x66861),f2(x66861)),x66862))+P1(f326(f326(f235(x66861),f326(f78(x66861),x66862)),x66862))
% 197.76/197.84 [6862]E(f326(f326(f3(a931),f326(a104,x68621)),f326(a104,x68622)),f326(a104,f326(f326(f3(a1),x68621),x68622)))+~P1(f326(f326(f234(a1),f2(a1)),x68622))+~P1(f326(f326(f234(a1),x68622),x68621))
% 197.76/197.84 [6896]E(f326(a104,f45(a1,f326(f103(a1),x68961),f326(f103(a1),x68962))),f45(a931,f326(f103(a931),x68961),f326(f103(a931),x68962)))+P1(f326(a193,f326(f103(a1),x68961)))+P1(f326(a193,f326(f103(a1),x68962)))
% 197.76/197.84 [6913]~P81(x69131)+P1(f326(f326(f234(x69131),f2(x69131)),x69132))+~P1(f326(f326(f234(x69131),f326(f78(x69131),x69132)),x69132))
% 197.76/197.84 [6914]~P81(x69141)+P1(f326(f326(f235(x69141),f2(x69141)),x69142))+~P1(f326(f326(f235(x69141),f326(f78(x69141),x69142)),x69142))
% 197.76/197.84 [6926]~P81(x69261)+~P1(f326(f326(f234(x69261),f2(x69261)),x69262))+P1(f326(f326(f234(x69261),f2(x69261)),f326(f326(f79(x69261),x69262),x69262)))
% 197.76/197.84 [6928]~P81(x69281)+~P1(f326(f326(f235(x69281),f2(x69281)),x69282))+P1(f326(f326(f235(x69281),f2(x69281)),f326(f326(f79(x69281),x69282),x69282)))
% 197.76/197.84 [6940]E(f326(f326(f79(a931),f326(a104,x69401)),f326(a104,x69402)),f326(a104,f326(f326(f79(a1),x69401),x69402)))+~P1(f326(f326(f234(a1),f2(a1)),x69402))+~P1(f326(f326(f234(a1),f2(a1)),x69401))
% 197.76/197.84 [6951]E(x69511,f2(a931))+P1(f326(f326(f235(a931),f2(a931)),x69512))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f243(a931),x69512),x69511)))
% 197.76/197.84 [6984]~P98(x69841)+E(f326(f103(x69841),x69842),f2(x69841))+~P32(x69841,f326(f103(x69841),f326(f326(f79(a1),a82),f326(f78(a1),x69842))))
% 197.76/197.84 [6985]~P98(x69851)+E(f326(f103(x69851),x69852),f2(x69851))+~P32(x69851,f326(f103(x69851),f326(f326(f79(a1),x69852),f326(f78(a1),a82))))
% 197.76/197.84 [7042]~P1(f326(f61(x70421),x70422))+~P1(f326(f61(x70421),f241(f939(x70421,a927))))+P1(f326(f61(x70421),f326(f78(f939(x70421,a927)),x70422)))
% 197.76/197.84 [7065]~P1(f326(f326(f235(a1),f2(a1)),x70652))+~P1(f326(f326(f234(a1),x70652),x70651))+P1(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x70651),x70652)))
% 197.76/197.84 [7066]~P1(f326(f326(f234(a1),x70661),f2(a1)))+~P1(f326(f326(f235(a1),x70662),f2(a1)))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x70661),x70662)))
% 197.76/197.84 [7104]~P1(f326(f326(f234(a1),f2(a1)),x71042))+~P1(f326(f326(f234(a1),f2(a1)),x71041))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f80(a1),x71041),x71042)))
% 197.76/197.84 [7105]~P1(f326(f326(f234(a1),f2(a1)),x71052))+~P1(f326(f326(f234(a1),f2(a1)),x71051))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x71051),x71052)))
% 197.76/197.84 [7106]~P1(f326(f326(f234(a1),f2(a1)),x71062))+~P1(f326(f326(f234(a1),f2(a1)),x71061))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x71061),x71062)))
% 197.76/197.84 [7107]~P1(f326(f326(f234(a1),f2(a1)),x71071))+~P1(f326(f326(f235(a1),f2(a1)),x71072))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x71071),x71072)))
% 197.76/197.84 [7108]~P1(f326(f326(f235(a931),f2(a931)),x71082))+~P1(f326(f326(f235(a931),f2(a931)),x71081))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f80(a931),x71081),x71082)))
% 197.76/197.84 [7174]E(x71741,f2(a1))+E(f45(a1,x71742,x71741),f2(a1))+E(f326(f326(f3(a1),f326(f78(a1),f326(f326(f36(a1),x71742),x71741))),f77(a1)),f326(f326(f36(a1),f326(f78(a1),x71742)),x71741))
% 197.76/197.84 [7229]P1(f326(f326(f235(a931),f2(a931)),x72291))+P1(f326(f326(f235(a931),f2(a931)),x72292))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f79(a931),x72292),x72291)))
% 197.76/197.84 [7233]~P81(x72331)+P1(f326(f326(f234(x72331),f2(x72331)),x72332))+~P1(f326(f326(f234(x72331),f2(x72331)),f326(f326(f79(x72331),x72332),x72332)))
% 197.76/197.84 [7234]~P81(x72341)+P1(f326(f326(f235(x72341),f2(x72341)),x72342))+~P1(f326(f326(f235(x72341),f2(x72341)),f326(f326(f79(x72341),x72342),x72342)))
% 197.76/197.84 [7285]~P1(f326(f61(x72851),x72852))+P1(f326(f61(x72851),f241(f939(x72851,a927))))+~P1(f326(f61(x72851),f326(f78(f939(x72851,a927)),x72852)))
% 197.76/197.84 [7350]P1(f326(f326(f234(a1),x73501),f2(a1)))+~P1(f326(f326(f235(a1),x73502),f2(a1)))+~P1(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x73501),x73502)))
% 197.76/197.84 [7356]~P1(f326(f326(f235(a1),f2(a1)),x73561))+P1(f326(f326(f234(a1),x73561),x73562))+~P1(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x73562),x73561)))
% 197.76/197.84 [7357]~P1(f326(f326(f234(a1),f2(a1)),x73572))+P1(f326(f326(f234(a1),x73571),x73572))+~P1(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x73572),x73571)))
% 197.76/197.84 [7387]P1(f326(f326(f234(a1),f2(a1)),x73871))+~P1(f326(f326(f235(a1),f2(a1)),x73872))+~P1(f326(f326(f234(a1),f2(a1)),f326(f326(f36(a1),x73871),x73872)))
% 197.76/197.84 [7388]P1(f326(f326(f235(a1),f2(a1)),x73881))+~P1(f326(f326(f234(a1),f2(a1)),x73882))+~P1(f326(f326(f235(a1),f2(a1)),f326(f326(f36(a1),x73882),x73881)))
% 197.76/197.84 [7845]~P1(f326(f61(x78452),f241(f939(x78452,a927))))+~P1(f326(f61(x78451),f241(f939(x78451,a927))))+P1(f326(f61(f937(x78451,x78452)),f241(f939(f937(x78451,x78452),a927))))
% 197.76/197.84 [7846]~P1(f326(f61(x78462),f241(f939(x78462,a927))))+~P1(f326(f61(x78461),f241(f939(x78461,a927))))+P1(f326(f61(f938(x78461,x78462)),f241(f939(f938(x78461,x78462),a927))))
% 197.76/197.84 [7918]~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x79181))+~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x79182))+P1(f326(f326(f235(a931),x79181),f326(f326(f80(a931),x79182),x79181)))
% 197.76/197.84 [7919]~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x79191))+~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x79192))+P1(f326(f326(f235(a931),x79191),f326(f326(f80(a931),x79191),x79192)))
% 197.76/197.84 [7952]E(f326(f35(x79521),f241(f939(x79521,a927))),f326(a112,f2(a931)))+P1(f326(f61(x79522),f241(f939(x79522,a927))))+~P1(f326(f61(f939(x79522,x79521)),f241(f939(f939(x79522,x79521),a927))))
% 197.76/197.84 [8078]~P1(f326(f326(f234(a931),f326(a112,f2(a931))),x80781))+~P1(f326(f326(f234(a931),f326(a112,f2(a931))),x80782))+P1(f326(f326(f234(a931),f326(a112,f2(a931))),f326(f326(f80(a931),x80781),x80782)))
% 197.76/197.84 [8079]~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x80792))+~P1(f326(f326(f235(a931),f326(a112,f2(a931))),x80791))+P1(f326(f326(f235(a931),f326(a112,f2(a931))),f326(f326(f80(a931),x80791),x80792)))
% 197.76/197.84 [8767]E(x87671,f113(x87672))+~P1(f326(f137(x87672),x87671))+E(f177(x87672,f326(f326(f10(a927,a927,x87672),a321),f326(f326(f9(x87672,x87672,a927),a323),f144(x87672,x87671))),x87671),f114(x87672,x87671))
% 197.76/197.84 [8862]~P44(x88622)+~P44(x88621)+E(f326(f309(a931,a1,f100(a1)),f326(f326(f110(f939(a931,a927)),f326(f309(a1,a931,a104),x88621)),f326(f309(a1,a931,a104),x88622))),f326(f326(f110(f939(a1,a927)),x88621),x88622))
% 197.76/197.84 [8863]~P44(x88632)+~P44(x88631)+E(f326(f309(a931,a1,f100(a1)),f326(f326(f101(f939(a931,a927)),f326(f309(a1,a931,a104),x88631)),f326(f309(a1,a931,a104),x88632))),f326(f326(f101(f939(a1,a927)),x88631),x88632))
% 197.76/197.84 [9537]~P98(x95371)+~E(f326(f103(x95371),x95372),f77(x95371))+P32(x95371,f326(f103(x95371),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x95372))))
% 197.76/197.84 [9780]~P98(x97801)+E(f326(f103(x97801),x97802),f77(x97801))+~P32(x97801,f326(f103(x97801),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f78(a1),x97802))))
% 197.76/197.84 [10544]E(x105441,f2(a1))+E(x105442,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x105442))),f326(f326(f326(f96(f938(a1,a1)),f326(f326(a323,f81(a1,x105441)),f81(a1,x105442))),f53(x105441,x105442)),f326(f326(f256(a1,a1,f938(a1,a1)),f326(f326(f20(a1,f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f939(f938(a1,a1),f938(a1,a1))),f939(f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),a1),f20(a1,f938(a1,a1),f938(a1,a1))),f326(f326(f10(f938(a1,a1),f939(a1,f939(f938(a1,a1),f938(a1,a1))),a1),f326(f9(a1,f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),f326(f326(f10(a927,f939(f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),a1),f96(f938(a1,a1))),f326(f326(f9(a1,a1,a927),a323),f2(a1))))),f326(f326(f9(a1,a1,f938(a1,a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f939(a1,a1),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f938(a1,a1)),f939(f939(a1,a1),f939(a1,f938(a1,a1))),a1),f10(a1,f938(a1,a1),a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f939(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x105442))))),f53(x105441,x105442)))),f46(x105441,x105442))
% 197.76/197.84 [10545]E(x105451,f2(a1))+E(x105452,f2(a1))+E(f326(f257(a1,a1,a1,a1,f31(a1),f326(f80(a1),f81(a1,x105452))),f326(f326(f326(f96(f938(a1,a1)),f326(f326(a325,f326(f326(a324,f326(f326(f235(a1),f2(a1)),x105452)),f326(f326(f234(a1),f2(a1)),x105451))),f326(f326(a324,f326(f326(f235(a1),x105452),f2(a1))),f326(f326(f235(a1),x105451),f2(a1))))),f53(x105451,x105452)),f326(f326(f256(a1,a1,f938(a1,a1)),f326(f326(f20(a1,f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f939(f938(a1,a1),f938(a1,a1))),f939(f939(a1,f938(a1,a1)),f939(a1,f938(a1,a1))),a1),f20(a1,f938(a1,a1),f938(a1,a1))),f326(f326(f10(f938(a1,a1),f939(a1,f939(f938(a1,a1),f938(a1,a1))),a1),f326(f9(a1,f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),f326(f326(f10(a927,f939(f938(a1,a1),f939(f938(a1,a1),f938(a1,a1))),a1),f96(f938(a1,a1))),f326(f326(f9(a1,a1,a927),a323),f2(a1))))),f326(f326(f9(a1,a1,f938(a1,a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f78(a1))),f2(a1))))),f326(f326(f9(a1,f939(a1,a1),f939(a1,f938(a1,a1))),f326(f326(f10(f939(a1,f938(a1,a1)),f939(f939(a1,a1),f939(a1,f938(a1,a1))),a1),f10(a1,f938(a1,a1),a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f326(f326(f9(a1,a1,a1),f326(f326(f10(a1,f939(a1,a1),a1),f3(a1)),f78(a1))),f77(a1))))),f326(f3(a1),f326(f75(a1),x105452))))),f53(x105451,x105452)))),f46(x105451,x105452))
% 197.76/197.84 [5961]~P122(x59611)+~P98(x59611)+E(f326(f75(x59611),f326(f326(f243(x59611),f326(f103(x59611),a97)),x59612)),f77(x59611))
% 197.76/197.84 [6466]~P145(x64661)+~P1(f326(f326(f235(a1),x64662),f2(a1)))+E(f326(f78(x64661),f326(f100(x64661),f326(a104,f326(f78(a1),x64662)))),f326(f102(x64661),x64662))
% 197.76/197.84 [6669]P1(f326(f326(f234(a99),x66691),f77(a99)))+E(f326(f326(f79(a99),f77(a99)),f271(x66691,f326(f326(f36(a99),x66692),x66691))),f271(x66691,x66692))+P1(f326(f326(f235(a99),x66692),x66691))
% 197.76/197.84 [7273]~P96(x72731)+~P1(f326(f326(f328(x72731),x72732),f109(x72731)))+~E(f326(f326(f79(x72731),f326(f326(f79(x72731),f77(x72731)),x72732)),x72732),f2(x72731))
% 197.76/197.84 [7389]~P1(f326(f326(f234(a1),x73892),f2(a1)))+~P1(f326(f326(f235(a1),x73891),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f47(f326(f78(a1),x73891),f326(f78(a1),x73892)))),f326(f326(f36(a1),x73891),x73892))
% 197.76/197.84 [7406]~P1(f326(f326(f234(a1),x74062),f2(a1)))+~P1(f326(f326(f235(a1),x74061),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f47(f326(f78(a1),x74061),f326(f78(a1),x74062)))),f45(a1,x74061,x74062))
% 197.76/197.84 [7414]~P1(f326(f326(f235(a1),x74142),f2(a1)))+E(f326(f250(a1,a1),f326(a51,f50(f326(f78(a1),x74141),f326(f78(a1),x74142)))),f326(f326(f36(a1),x74141),x74142))+~P1(f326(f326(f235(a1),f2(a1)),x74141))
% 197.76/197.84 [7432]~P1(f326(f326(f235(a1),x74322),f2(a1)))+E(f326(f255(a1,a1),f326(a51,f50(f326(f78(a1),x74321),f326(f78(a1),x74322)))),f45(a1,x74321,x74322))+~P1(f326(f326(f235(a1),f2(a1)),x74321))
% 197.76/197.84 [7485]E(f326(f326(f36(a1),f326(f326(f243(a1),x74851),x74852)),x74851),f326(f326(f243(a1),x74851),f326(f326(f3(a931),x74852),f326(a112,f2(a931)))))+~P1(f326(f326(f235(a931),f2(a931)),x74852))+~P1(f326(f326(f235(a1),f2(a1)),x74851))
% 197.76/197.84 [7591]~P1(f326(f326(f235(a931),f2(a931)),x75911))+~P1(f326(f326(f235(a931),f2(a931)),x75912))+P1(f326(f326(f235(a931),f326(f326(f3(a931),x75911),x75912)),x75911))
% 197.76/197.84 [7592]~P1(f326(f326(f235(a931),f2(a931)),x75921))+~P1(f326(f326(f235(a931),f77(a931)),x75922))+P1(f326(f326(f235(a931),f326(f326(f36(a931),x75921),x75922)),x75921))
% 197.76/197.84 [7593]~P1(f326(f326(f235(a1),f2(a1)),x75931))+~P1(f326(f326(f235(a1),f77(a1)),x75932))+P1(f326(f326(f235(a1),f326(f326(f36(a1),x75931),x75932)),x75931))
% 197.76/197.84 [7739]E(x77391,f2(a931))+~E(x77392,f2(a1))+~P1(f326(f326(f235(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x77392)),x77391)))
% 197.76/197.84 [8162]~E(x81622,f113(f932(x81621)))+E(f326(f189(f932(f932(x81621))),f179(x81621,x81622)),f2(a931))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x81621),a931),f189(f932(x81621))),x81622)))
% 197.76/197.84 [8419]P1(f326(x84191,x84192))+~P1(f326(x84191,f326(a106,f549(x84191,x84192))))+~P1(f326(f326(f328(f939(f938(a931,a931),a927)),x84192),a98))
% 197.76/197.84 [8435]E(x84351,f113(f932(x84352)))+E(f326(f189(f932(x84352)),f326(f326(f164(f932(x84352)),x84351),f2(a931))),f326(f189(f932(f932(x84352))),f179(x84352,x84351)))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x84352),a931),f189(f932(x84352))),x84351)))
% 197.76/197.84 [8575]~P42(x85751,x85752)+~P43(x85751,x85752)+P42(x85751,f326(f326(f3(f939(f938(x85751,x85751),a927)),x85752),f306(x85751,f188(f939(f938(x85751,x85751),a927)))))
% 197.76/197.84 [9148]~P1(f326(f61(x91481),f326(f261(x91481),x91482)))+~P1(f326(f61(x91481),f241(f939(x91481,a927))))+P1(f326(f61(x91481),f326(f261(x91481),f326(f326(f10(a927,a927,x91481),a321),x91482))))
% 197.76/197.84 [9213]E(f326(f326(f251(a931,a931),f326(a112,f326(f326(f36(a931),f326(f326(f3(a931),x92131),x92132)),x92132))),f45(a931,f326(f326(f3(a931),x92131),x92132),x92132)),f84(f938(a931,a931),f48(x92131,x92132)))+~P1(f326(f326(f235(a931),f2(a931)),x92132))+~P1(f326(f326(f234(a931),x92132),x92131))
% 197.76/197.84 [9503]~P1(f326(f61(x95031),f326(f261(x95031),x95032)))+P1(f326(f61(x95031),f241(f939(x95031,a927))))+~P1(f326(f61(x95031),f326(f261(x95031),f326(f326(f10(a927,a927,x95031),a321),x95032))))
% 197.76/197.84 [10223]P29(x102231,x102232)+~P41(x102231,f326(f250(f939(f938(x102231,x102231),a927),f939(f938(x102231,x102231),a927)),x102232))+~P1(f326(f326(f234(f939(f938(x102231,x102231),a927)),f326(f326(f288(x102231,x102231,x102231),f326(f250(f939(f938(x102231,x102231),a927),f939(f938(x102231,x102231),a927)),x102232)),f326(f255(f939(f938(x102231,x102231),a927),f939(f938(x102231,x102231),a927)),x102232))),f326(f250(f939(f938(x102231,x102231),a927),f939(f938(x102231,x102231),a927)),x102232)))
% 197.76/197.84 [10319]~E(f299(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x103192,x103191),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x103192),x103191))+P1(f326(f326(f286(a931),x103191),x103192))
% 197.76/197.84 [10320]~E(f296(a931,f286(a931),f326(f326(f20(a931,f939(a931,a927),f939(a931,a927)),f326(f326(f10(f939(a931,f939(a927,a927)),f939(f939(a931,a927),f939(a931,a927)),a931),f20(a931,a927,a927)),f326(f326(f10(f939(a931,a927),f939(a931,f939(a927,a927)),a931),f326(f10(a927,f939(a927,a927),a931),a324)),f286(a931)))),f326(f326(f10(f939(a931,a927),f939(a931,a927),a931),f326(f10(a927,a927,a931),a321)),f326(f9(a931,a931,a927),f286(a931)))),x103202,x103201),f188(f939(a931,a927)))+~P1(f326(f326(f286(a931),x103202),x103201))+P1(f326(f326(f286(a931),x103201),x103202))
% 197.76/197.84 [7515]~P1(f326(f326(f235(a931),f2(a931)),x75152))+P1(f326(f326(f235(a931),x75151),x75152))+E(f326(a112,f326(f326(f36(a931),f326(f326(f3(a931),x75151),x75152)),x75152)),f326(f326(f36(a931),x75151),x75152))
% 197.76/197.84 [7659]~P1(f326(f326(f235(a931),f2(a931)),x76592))+~P1(f326(f326(f234(a931),x76592),x76591))+E(f326(a112,f326(f326(f36(a931),f326(f326(f3(a931),x76591),x76592)),x76592)),f326(f326(f36(a931),x76591),x76592))
% 197.76/197.84 [8638]~P98(x86381)+~P96(x86381)+~P32(x86381,f326(f103(x86381),f326(f326(f3(a1),f326(f326(f79(a1),x86382),x86382)),a97)))
% 197.76/197.84 [9402]E(x94021,f2(a931))+E(f326(f326(f256(a931,a931,f938(a931,a931)),f326(f326(f10(a931,f939(a931,f938(a931,a931)),a931),f251(a931,a931)),a112)),f84(f938(a931,a931),f48(f326(f326(f3(a931),x94022),x94021),x94021))),f84(f938(a931,a931),f48(x94022,x94021)))+P1(f326(f326(f235(a931),x94022),x94021))
% 197.76/197.84 [9589]~P42(x95891,x95892)+~P56(x95891,x95892)+P1(f326(f326(f234(f939(f938(x95891,x95891),a927)),f326(f326(f288(x95891,x95891,x95891),f326(f285(x95891,x95891),x95892)),x95892)),x95892))
% 197.76/197.84 [9844]P1(f326(x98442,f655(x98442,x98441)))+P1(f326(x98441,f655(x98442,x98441)))+E(f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98441)),f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98442)))
% 197.76/197.84 [9848]~P1(f326(x98482,f655(x98482,x98481)))+~P1(f326(x98481,f655(x98482,x98481)))+E(f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98481)),f326(f261(a1),f326(f326(f20(a1,a927,a927),f326(f326(f10(a927,f939(a927,a927),a1),a324),f326(f234(a1),f2(a1)))),x98482)))
% 197.76/197.84 [7876]~P69(x78761)+~P98(x78761)+E(f326(f326(f290(x78761),x78762),f326(f103(x78761),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))),x78762)
% 197.76/197.84 [9536]~P98(x95361)+~E(f326(f103(x95361),x95362),f77(x95361))+P32(x95361,f326(f103(x95361),f326(f326(f79(a1),x95362),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [9721]~P146(x97211)+~E(x97212,f77(x97211))+E(f326(f326(f243(x97211),x97212),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x97211))
% 197.76/197.84 [9722]~P146(x97221)+~E(x97222,f2(x97221))+E(f326(f326(f243(x97221),x97222),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f2(x97221))
% 197.76/197.84 [9737]~P146(x97371)+~E(x97372,f326(f78(x97371),f77(x97371)))+E(f326(f326(f243(x97371),x97372),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x97371))
% 197.76/197.84 [9781]~P98(x97811)+E(f326(f103(x97811),x97812),f77(x97811))+~P32(x97811,f326(f103(x97811),f326(f326(f79(a1),x97812),f326(f78(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 197.76/197.84 [10165]~P122(x101652)+E(x101651,f2(x101652))+P1(f326(f326(f235(x101652),f2(x101652)),f326(f326(f243(x101652),x101651),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.84 [10222]~P122(x102222)+~E(x102221,f2(x102222))+~P1(f326(f326(f235(x102222),f2(x102222)),f326(f326(f243(x102222),x102221),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 197.76/197.84 [10258]P1(f326(f326(f234(a1),x102581),f2(a1)))+P1(f326(f326(f235(a1),x102582),x102581))+E(f326(f43(x102581),f47(x102582,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102581))),f47(x102582,x102581))
% 197.76/197.84 [10259]~P1(f326(f326(f235(a1),f2(a1)),x102591))+P1(f326(f326(f235(a1),x102592),x102591))+E(f326(f43(x102591),f47(x102592,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102591))),f47(x102592,x102591))
% 197.76/197.84 [10260]P1(f326(f326(f234(a1),x102601),f2(a1)))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x102602),x102601)))+E(f326(f43(x102601),f50(x102602,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102601))),f50(x102602,x102601))
% 197.76/197.84 [10261]~P1(f326(f326(f235(a1),f2(a1)),x102611))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),x102612),x102611)))+E(f326(f43(x102611),f50(x102612,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102611))),f50(x102612,x102611))
% 197.76/197.84 [10262]~P148(x102621)+~P1(f326(f326(f234(a1),f2(a1)),x102622))+E(f326(f100(x102621),f326(a104,f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x102622))),f326(f326(f79(x102621),f326(f100(x102621),f326(a104,x102622))),f326(f100(x102621),f326(a104,x102622))))
% 197.76/197.84 [5294]~P150(x52941,x52942,x52943)+~E(x52943,f2(a1))+P1(f326(x52941,x52942))
% 197.76/197.84 [5417]~P111(x54171)+~P15(x54171,x54173)+P15(x54171,f170(x54171,x54172,x54173))
% 197.76/197.84 [5418]~P111(x54181)+~P15(x54181,x54183)+P15(x54181,f177(x54181,x54182,x54183))
% 197.76/197.84 [4988]~P80(x49882)+~E(x49883,f326(f78(x49882),x49881))+E(x49881,f326(f78(x49882),x49883))
% 197.76/197.84 [4990]~P80(x49901)+~E(f326(f78(x49901),x49903),x49902)+E(f326(f78(x49901),x49902),x49903)
% 197.76/197.84 [5069]~P106(x50693)+E(x50691,x50692)+~E(f326(f100(x50693),x50691),f326(f100(x50693),x50692))
% 197.76/197.84 [5070]~P80(x50703)+E(x50701,x50702)+~E(f326(f78(x50703),x50701),f326(f78(x50703),x50702))
% 197.76/197.84 [5071]~P99(x50713)+E(x50711,x50712)+~E(f326(f78(x50713),x50711),f326(f78(x50713),x50712))
% 197.76/197.84 [5072]~P96(x50723)+E(x50721,x50722)+~E(f326(f102(x50723),x50721),f326(f102(x50723),x50722))
% 197.76/197.84 [5073]~P111(x50733)+E(x50731,x50732)+~E(f326(f281(x50733),x50731),f326(f281(x50733),x50732))
% 197.76/197.84 [5074]~P111(x50743)+E(x50741,x50742)+~E(f326(f300(x50743),x50741),f326(f300(x50743),x50742))
% 197.76/197.84 [5075]~P111(x50753)+E(x50751,x50752)+~E(f326(f282(x50753),x50751),f326(f282(x50753),x50752))
% 197.76/197.84 [5076]~P111(x50763)+E(x50761,x50762)+~E(f326(f303(x50763),x50761),f326(f303(x50763),x50762))
% 197.76/197.84 [5178]~P67(x51781)+~P1(f326(x51782,x51783))+P1(f326(f56(x51781),x51782))
% 197.76/197.84 [5214]~P67(x52143)+P1(f326(x52141,x52142))+~P1(f326(f57(x52143),x52141))
% 197.76/197.84 [5314]~P151(x53141,x53143,x53142)+~E(x53142,f2(a1))+P1(f326(x53141,f2(a1)))
% 197.76/197.84 [5353]~E(x53531,f2(a931))+E(f830(x53531,x53532,x53533),f188(f939(x53533,a927)))+~E(f326(f35(x53533),x53532),f326(a112,x53531))
% 197.76/197.84 [5501]~E(x55012,f2(a931))+E(f326(f250(a931,a931),x55011),f2(a931))+~P1(f326(f48(x55013,x55012),x55011))
% 197.76/197.84 [5545]P1(f326(x55451,x55452))+~E(x55453,f326(f100(a1),x55452))+~P1(f326(x55451,f326(a104,x55453)))
% 197.76/197.84 [6025]~E(x60253,f2(a931))+~P1(f326(x60251,x60252))+P1(f326(x60251,f45(a931,x60252,x60253)))
% 197.76/197.84 [6263]~P107(x62632)+~P107(x62631)+E(f131(x62631,x62632,f132(x62631,x62633),f132(x62632,x62633)),f132(f938(x62631,x62632),x62633))
% 197.76/197.84 [6448]~E(x64483,f2(a931))+P1(f326(x64481,x64482))+~P1(f326(x64481,f45(a931,x64482,x64483)))
% 197.76/197.84 [7129]E(x71291,f2(a931))+~P1(f326(x71292,f367(x71291,x71293,x71292)))+P1(f326(x71292,f45(a931,x71293,x71291)))
% 197.76/197.84 [7239]~P7(x72391)+~P1(f326(f326(f234(x72391),x72392),f376(x72393,x72392,x72391)))+P1(f326(f326(f234(x72391),x72392),f38(x72391,x72393)))
% 197.76/197.84 [7241]~P1(f326(x72411,x72412))+~P1(f326(x72411,f367(x72413,x72412,x72411)))+P1(f326(x72411,f45(a931,x72412,x72413)))
% 197.76/197.84 [7344]E(x73441,f113(x73442))+E(f326(f326(f151(x73442),f702(x73443,x73441,x73442)),f705(x73443,x73441,x73442)),x73441)+~P1(f326(f326(f328(f932(x73442)),x73441),f161(x73442,x73443)))
% 197.76/197.84 [7375]~P145(x73751)+~P1(f326(f326(f328(x73751),x73752),f109(x73751)))+P1(f326(f326(f328(x73751),f326(f326(f243(x73751),x73752),x73753)),f109(x73751)))
% 197.76/197.84 [7708]P41(x77081,x77082)+~P1(f326(f326(f328(x77081),x77083),f612(x77082,x77081)))+P1(f326(f326(f328(x77081),f625(x77082,x77081,x77083)),f612(x77082,x77081)))
% 197.76/197.84 [7979]E(x79791,f113(x79792))+~P1(f326(f326(f328(f932(x79792)),x79791),f161(x79792,x79793)))+P1(f326(f326(f328(f932(x79792)),f705(x79793,x79791,x79792)),f161(x79792,x79793)))
% 197.76/197.84 [8031]E(x80311,f2(a931))+E(f326(f326(f79(a931),f326(f326(f80(a931),x80311),f368(x80311,x80312,x80313))),f367(x80311,x80312,x80313)),x80312)+P1(f326(x80313,f45(a931,x80312,x80311)))
% 197.76/197.84 [8072]~P1(f326(x80723,x80722))+E(f326(f326(f79(a931),f326(f326(f80(a931),x80721),f368(x80721,x80722,x80723))),f367(x80721,x80722,x80723)),x80722)+P1(f326(x80723,f45(a931,x80722,x80721)))
% 197.76/197.84 [8219]P1(f326(f326(f235(a1),x82191),f354(x82192,x82193,x82191)))+P1(f326(f326(x82193,f326(f326(f36(a1),x82192),x82191)),f45(a1,x82192,x82191)))+~P1(f326(f326(f235(a1),x82191),f2(a1)))
% 197.76/197.84 [8490]P1(f326(f326(x84902,f326(f326(f36(a1),x84901),x84903)),f45(a1,x84901,x84903)))+~P1(f326(f326(f235(a1),x84903),f2(a1)))+P1(f326(f326(f234(a1),f354(x84901,x84902,x84903)),f2(a1)))
% 197.76/197.84 [8673]E(f326(f326(f79(a1),f326(f326(f80(a1),x86731),f355(x86732,x86733,x86731))),f354(x86732,x86733,x86731)),x86732)+P1(f326(f326(x86733,f326(f326(f36(a1),x86732),x86731)),f45(a1,x86732,x86731)))+~P1(f326(f326(f235(a1),x86731),f2(a1)))
% 197.76/197.84 [8910]~P1(f326(f326(x89101,f355(x89102,x89101,x89103)),f354(x89102,x89101,x89103)))+P1(f326(f326(x89101,f326(f326(f36(a1),x89102),x89103)),f45(a1,x89102,x89103)))+~P1(f326(f326(f235(a1),x89103),f2(a1)))
% 197.76/197.84 [9161]~P111(x91611)+~P15(x91611,x91613)+P15(x91611,f149(x91611,x91611,f7(x91611),x91612,x91613))
% 197.76/197.84 [9666]~P130(x96662)+E(x96661,f2(x96662))+~P1(f326(f326(f234(x96662),f326(f326(f79(x96662),f326(f326(f80(x96662),x96663),x96663)),f326(f326(f80(x96662),x96661),x96661))),f2(x96662)))
% 197.76/197.84 [9667]~P130(x96672)+E(x96671,f2(x96672))+~P1(f326(f326(f234(x96672),f326(f326(f79(x96672),f326(f326(f80(x96672),x96671),x96671)),f326(f326(f80(x96672),x96673),x96673))),f2(x96672)))
% 197.76/197.84 [10476]~P122(x104761)+~P1(f326(f326(f235(x104761),x104762),f2(x104761)))+P1(f326(f326(f235(x104761),f326(f326(f243(x104761),x104762),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x104763)))),f2(x104761)))
% 197.76/197.84 [10486]~P122(x104862)+E(x104861,f2(x104862))+~P1(f326(f326(f234(x104862),f326(f326(f79(x104862),f326(f326(f243(x104862),x104863),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104862),x104861),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104862)))
% 197.76/197.84 [10487]~P122(x104872)+E(x104871,f2(x104872))+~P1(f326(f326(f234(x104872),f326(f326(f79(x104872),f326(f326(f243(x104872),x104871),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104872),x104873),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104872)))
% 197.76/197.84 [5024]~E(x50242,x50243)+~P72(x50241)+E(f326(f326(f3(x50241),x50242),x50243),f2(x50241))
% 197.76/197.84 [5025]~E(x50252,x50253)+~P80(x50251)+E(f326(f326(f3(x50251),x50252),x50253),f2(x50251))
% 197.76/197.84 [5038]~P142(x50381)+~E(x50383,f2(x50381))+E(f326(f326(f79(x50381),x50382),x50383),x50382)
% 197.76/197.84 [5055]~P144(x50551)+~E(x50553,f2(x50551))+E(f326(f326(f80(x50551),x50552),x50553),f2(x50551))
% 197.76/197.84 [5056]~P144(x50561)+~E(x50562,f2(x50561))+E(f326(f326(f80(x50561),x50562),x50563),f2(x50561))
% 197.76/197.84 [5078]~E(x50783,f113(x50781))+~E(x50782,f113(x50781))+E(f326(f326(f134(x50781),x50782),x50783),f113(x50781))
% 197.76/197.84 [5168]~P142(x51682)+E(x51681,f2(x51682))+~E(f326(f326(f79(x51682),x51683),x51681),x51683)
% 197.76/197.84 [5169]~P80(x51691)+~E(x51692,f326(f78(x51691),x51693))+E(f326(f326(f79(x51691),x51692),x51693),f2(x51691))
% 197.76/197.84 [5176]E(x51761,f113(x51762))+E(x51763,f2(a931))+~E(f326(f326(f175(x51762),x51763),x51761),f113(x51762))
% 197.76/197.84 [5182]~P72(x51823)+E(x51821,x51822)+~E(f326(f326(f3(x51823),x51821),x51822),f2(x51823))
% 197.76/197.84 [5183]~P80(x51833)+E(x51831,x51832)+~E(f326(f326(f3(x51833),x51831),x51832),f2(x51833))
% 197.76/197.84 [5196]~P146(x51962)+E(x51961,f2(x51962))+~E(f326(f326(f243(x51962),x51961),x51963),f2(x51962))
% 197.76/197.84 [5197]~P4(x51972)+E(x51971,f188(x51972))+~E(f326(f326(f110(x51972),x51973),x51971),f188(x51972))
% 197.76/197.84 [5198]~P4(x51982)+E(x51981,f188(x51982))+~E(f326(f326(f110(x51982),x51981),x51983),f188(x51982))
% 197.76/197.84 [5199]~P103(x51992)+E(x51991,f241(x51992))+~E(f326(f326(f101(x51992),x51993),x51991),f241(x51992))
% 197.76/197.84 [5200]~P103(x52002)+E(x52001,f241(x52002))+~E(f326(f326(f101(x52002),x52001),x52003),f241(x52002))
% 197.76/197.84 [5268]~P80(x52682)+E(x52681,f326(f78(x52682),x52683))+~E(f326(f326(f79(x52682),x52681),x52683),f2(x52682))
% 197.76/197.84 [5269]~P80(x52691)+E(f326(f78(x52691),x52692),x52693)+~E(f326(f326(f79(x52691),x52692),x52693),f2(x52691))
% 197.76/197.84 [5271]~E(x52712,x52713)+~P109(x52711)+P1(f326(f326(f234(x52711),x52712),x52713))
% 197.76/197.84 [5273]~E(x52732,x52733)+~P112(x52731)+P1(f326(f326(f234(x52731),x52732),x52733))
% 197.76/197.84 [5370]~P124(x53701)+~E(x53702,f326(f78(x53701),x53703))+E(f326(f326(f80(x53701),x53702),x53702),f326(f326(f80(x53701),x53703),x53703))
% 197.76/197.84 [5378]~P111(x53781)+~P15(x53781,x53783)+P15(x53781,f326(f326(f175(x53781),x53782),x53783))
% 197.76/197.84 [5379]~P111(x53791)+~P15(x53791,x53793)+P15(x53791,f326(f326(f138(x53791),x53792),x53793))
% 197.76/197.84 [5415]E(x54151,x54152)+E(x54153,f2(a931))+~E(f326(f326(f80(a931),x54153),x54151),f326(f326(f80(a931),x54153),x54152))
% 197.76/197.84 [5416]E(x54161,x54162)+E(x54163,f2(a931))+~E(f326(f326(f80(a931),x54161),x54163),f326(f326(f80(a931),x54162),x54163))
% 197.76/197.84 [5494]~E(x54942,x54943)+~P112(x54941)+E(f302(x54941,x54942,x54943),f326(f326(f308(x54941),x54942),f188(f939(x54941,a927))))
% 197.76/197.84 [5543]~E(x55431,x55432)+~P111(x55433)+~P1(f326(f326(f235(x55433),x55431),x55432))
% 197.76/197.84 [5544]~E(x55441,x55442)+~P112(x55443)+~P1(f326(f326(f235(x55443),x55441),x55442))
% 197.76/197.84 [5556]~P112(x55561)+E(f326(f301(x55561,x55562),x55563),f188(f939(x55561,a927)))+P1(f326(f326(f235(x55561),x55562),x55563))
% 197.76/197.84 [5604]~P112(x56041)+E(f302(x56041,x56042,x56043),f188(f939(x56041,a927)))+P1(f326(f326(f234(x56041),x56042),x56043))
% 197.76/197.84 [5605]~P112(x56051)+E(f304(x56051,x56052,x56053),f188(f939(x56051,a927)))+P1(f326(f326(f235(x56051),x56052),x56053))
% 197.76/197.84 [5606]~P112(x56061)+E(f188(f939(x56061,a927)),f302(x56061,x56062,x56063))+P1(f326(f326(f234(x56061),x56062),x56063))
% 197.76/197.84 [5607]~P112(x56071)+E(f188(f939(x56071,a927)),f304(x56071,x56072,x56073))+P1(f326(f326(f235(x56071),x56072),x56073))
% 197.76/197.84 [5615]~P104(x56151)+~E(f326(f326(f110(x56151),x56152),x56153),x56153)+P1(f326(f326(f234(x56151),x56152),x56153))
% 197.76/197.84 [5616]~P105(x56161)+~E(f326(f326(f101(x56161),x56162),x56163),x56162)+P1(f326(f326(f234(x56161),x56162),x56163))
% 197.76/197.84 [5617]~P111(x56171)+~E(f326(f326(f232(x56171),x56172),x56173),x56172)+P1(f326(f326(f234(x56171),x56172),x56173))
% 197.76/197.84 [5618]~P111(x56181)+~E(f326(f326(f233(x56181),x56182),x56183),x56183)+P1(f326(f326(f234(x56181),x56182),x56183))
% 197.76/197.84 [5637]~P111(x56371)+P15(x56371,x56372)+~P15(x56371,f326(f326(f151(x56371),x56373),x56372))
% 197.76/197.84 [5638]~P111(x56381)+P15(x56381,x56382)+~P15(x56381,f326(f326(f134(x56381),x56383),x56382))
% 197.76/197.84 [5639]~P111(x56391)+P15(x56391,x56392)+~P15(x56391,f326(f326(f134(x56391),x56392),x56393))
% 197.76/197.84 [5704]~P111(x57041)+P1(f326(f326(f234(x57041),x57043),x57042))+P1(f326(f326(f234(x57041),x57042),x57043))
% 197.76/197.84 [5709]~P111(x57091)+P1(f326(f326(f235(x57091),x57093),x57092))+P1(f326(f326(f234(x57091),x57092),x57093))
% 197.76/197.84 [5747]~P104(x57471)+E(f326(f326(f110(x57471),x57472),x57473),x57472)+~P1(f326(f326(f234(x57471),x57473),x57472))
% 197.76/197.85 [5749]~P104(x57491)+E(f326(f326(f110(x57491),x57492),x57493),x57493)+~P1(f326(f326(f234(x57491),x57492),x57493))
% 197.76/197.85 [5750]~P105(x57501)+E(f326(f326(f101(x57501),x57502),x57503),x57503)+~P1(f326(f326(f234(x57501),x57503),x57502))
% 197.76/197.85 [5752]~P105(x57521)+E(f326(f326(f101(x57521),x57522),x57523),x57522)+~P1(f326(f326(f234(x57521),x57522),x57523))
% 197.76/197.85 [5753]~P111(x57531)+E(f326(f326(f232(x57531),x57532),x57533),x57533)+~P1(f326(f326(f234(x57531),x57533),x57532))
% 197.76/197.85 [5755]~P111(x57551)+E(f326(f326(f232(x57551),x57552),x57553),x57552)+~P1(f326(f326(f234(x57551),x57552),x57553))
% 197.76/197.85 [5756]~P111(x57561)+E(f326(f326(f233(x57561),x57562),x57563),x57562)+~P1(f326(f326(f234(x57561),x57563),x57562))
% 197.76/197.85 [5758]~P111(x57581)+E(f326(f326(f233(x57581),x57582),x57583),x57583)+~P1(f326(f326(f234(x57581),x57582),x57583))
% 197.76/197.85 [5765]~P126(x57652)+E(x57651,f2(x57652))+E(f326(f326(f290(x57652),f326(f78(x57652),x57653)),f326(f78(x57652),x57651)),f326(f326(f290(x57652),x57653),x57651))
% 197.76/197.85 [5817]~P112(x58171)+E(f326(f301(x58171,x58172),x58173),f188(f939(x58171,a927)))+~P1(f326(f326(f234(x58171),x58173),x58172))
% 197.76/197.85 [5850]~P112(x58501)+E(f302(x58501,x58502,x58503),f188(f939(x58501,a927)))+~P1(f326(f326(f235(x58501),x58503),x58502))
% 197.76/197.85 [5851]~P112(x58511)+E(f305(x58511,x58512,x58513),f188(f939(x58511,a927)))+~P1(f326(f326(f234(x58511),x58513),x58512))
% 197.76/197.85 [5852]~P112(x58521)+E(f304(x58521,x58522,x58523),f188(f939(x58521,a927)))+~P1(f326(f326(f234(x58521),x58523),x58522))
% 197.76/197.85 [5904]~E(f326(f326(f3(a931),x59041),x59043),x59042)+E(x59041,f326(f326(f79(a931),x59042),x59043))+~P1(f326(f326(f234(a931),x59043),x59041))
% 197.76/197.85 [5905]~E(x59051,f326(f326(f79(a931),x59053),x59052))+E(f326(f326(f3(a931),x59051),x59052),x59053)+~P1(f326(f326(f234(a931),x59052),x59051))
% 197.76/197.85 [5950]~P1(f326(x59501,x59503))+P1(f326(x59501,f419(x59501,x59502)))+~P1(f326(f326(f234(a931),x59503),x59502))
% 197.76/197.85 [5951]~P1(f326(x59511,x59513))+P1(f326(x59511,f488(x59511,x59512)))+~P1(f326(f326(f235(a931),x59513),x59512))
% 197.76/197.85 [5959]~P112(x59591)+~E(f326(f301(x59591,x59592),x59593),f188(f939(x59591,a927)))+~P1(f326(f326(f235(x59591),x59592),x59593))
% 197.76/197.85 [5964]~P109(x59641)+~P1(f326(f326(f235(x59641),x59642),x59643))+P1(f326(f326(f234(x59641),x59642),x59643))
% 197.76/197.85 [5966]~P112(x59661)+~P1(f326(f326(f235(x59661),x59662),x59663))+P1(f326(f326(f234(x59661),x59662),x59663))
% 197.76/197.85 [6075]~P112(x60751)+~E(f302(x60751,x60752,x60753),f188(f939(x60751,a927)))+~P1(f326(f326(f234(x60751),x60752),x60753))
% 197.76/197.85 [6076]~P112(x60761)+~E(f304(x60761,x60762,x60763),f188(f939(x60761,a927)))+~P1(f326(f326(f235(x60761),x60762),x60763))
% 197.76/197.85 [6077]~P112(x60771)+~E(f188(f939(x60771,a927)),f302(x60771,x60772,x60773))+~P1(f326(f326(f234(x60771),x60772),x60773))
% 197.76/197.85 [6078]~P112(x60781)+~E(f188(f939(x60781,a927)),f304(x60781,x60782,x60783))+~P1(f326(f326(f235(x60781),x60782),x60783))
% 197.76/197.85 [6091]P1(f326(x60911,x60912))+~P1(f326(x60911,f435(x60911,x60913)))+~P1(f326(f326(f234(a931),x60912),x60913))
% 197.76/197.85 [6092]P1(f326(x60921,x60922))+~P1(f326(x60921,f489(x60921,x60923)))+~P1(f326(f326(f235(a931),x60922),x60923))
% 197.76/197.85 [6100]~E(x61001,f326(a112,x61003))+P1(f326(f326(f235(a931),x61001),f326(a112,x61002)))+~P1(f326(f326(f235(a931),x61003),x61002))
% 197.76/197.85 [6119]E(x61191,x61192)+~E(f326(f326(f80(a931),x61193),x61191),f326(f326(f80(a931),x61193),x61192))+~P1(f326(f326(f235(a931),f2(a931)),x61193))
% 197.76/197.85 [6179]E(f326(x61791,f862(x61791,x61792,x61793)),f77(a931))+~E(f326(f326(f8(x61793,a931),x61791),x61792),f77(a931))+~P1(f326(f61(x61793),x61792))
% 197.76/197.85 [6196]~P7(x61961)+P1(f326(f326(f234(x61961),x61962),f37(x61961,x61963)))+~P1(f326(f326(f328(x61961),x61962),x61963))
% 197.76/197.85 [6219]~P109(x62191)+~P1(f326(f326(f235(x62191),x62193),x62192))+~P1(f326(f326(f234(x62191),x62192),x62193))
% 197.76/197.85 [6223]~P109(x62231)+~P1(f326(f326(f235(x62231),x62233),x62232))+~P1(f326(f326(f235(x62231),x62232),x62233))
% 197.76/197.85 [6226]~P111(x62261)+~P1(f326(f326(f235(x62261),x62263),x62262))+~P1(f326(f326(f234(x62261),x62262),x62263))
% 197.76/197.85 [6227]~P111(x62271)+~P1(f326(f326(f235(x62271),x62273),x62272))+~P1(f326(f326(f235(x62271),x62272),x62273))
% 197.76/197.85 [6228]~P112(x62281)+~P1(f326(f326(f235(x62281),x62283),x62282))+~P1(f326(f326(f235(x62281),x62282),x62283))
% 197.76/197.85 [6248]~E(x62482,x62483)+~E(x62481,x62482)+E(f289(a931,f286(a931),x62481,x62482),f326(f326(f308(a931),x62483),f188(f939(a931,a927))))
% 197.76/197.85 [6255]~E(f326(x62552,f863(x62552,x62553,x62551)),f2(a931))+E(f326(f326(f8(x62551,a931),x62552),x62553),f2(a931))+~P1(f326(f61(x62551),x62553))
% 197.76/197.85 [6256]~E(f326(x62562,f729(x62562,x62563,x62561)),f77(a931))+E(f326(f326(f11(x62561,a931),x62562),x62563),f77(a931))+~P1(f326(f61(x62561),x62563))
% 197.76/197.85 [6272]~P110(x62721)+~P1(f326(f326(f234(x62721),x62723),x62722))+P1(f326(f326(f328(x62721),x62722),f326(f282(x62721),x62723)))
% 197.76/197.85 [6273]~P110(x62731)+~P1(f326(f326(f235(x62731),x62733),x62732))+P1(f326(f326(f328(x62731),x62732),f326(f303(x62731),x62733)))
% 197.76/197.85 [6274]~P110(x62741)+~P1(f326(f326(f235(x62741),x62742),x62743))+P1(f326(f326(f328(x62741),x62742),f326(f281(x62741),x62743)))
% 197.76/197.85 [6275]~P110(x62751)+~P1(f326(f326(f234(x62751),x62752),x62753))+P1(f326(f326(f328(x62751),x62752),f326(f300(x62751),x62753)))
% 197.76/197.85 [6287]E(f326(x62871,f874(x62871,x62872,x62873)),f326(a112,f2(a931)))+~E(f326(f326(f8(x62873,a931),x62871),x62872),f326(a112,f2(a931)))+~P1(f326(f61(x62873),x62872))
% 197.76/197.85 [6374]~P7(x63741)+~P1(f326(f326(f328(x63741),x63743),x63742))+P1(f326(f326(f234(x63741),f38(x63741,x63742)),x63743))
% 197.76/197.85 [6394]~P1(f326(f326(f234(a931),x63941),x63943))+P1(f326(f326(f234(a931),x63941),x63942))+~P1(f326(f326(f234(a931),x63943),x63942))
% 197.76/197.85 [6395]~P1(f326(f326(f234(a1),x63951),x63953))+P1(f326(f326(f234(a1),x63951),x63952))+~P1(f326(f326(f234(a1),x63953),x63952))
% 197.76/197.85 [6415]~P110(x64151)+~P1(f326(f326(f328(x64151),x64153),f326(f282(x64151),x64152)))+P1(f326(f326(f234(x64151),x64152),x64153))
% 197.76/197.85 [6416]~P110(x64161)+~P1(f326(f326(f328(x64161),x64162),f326(f300(x64161),x64163)))+P1(f326(f326(f234(x64161),x64162),x64163))
% 197.76/197.85 [6417]~P110(x64171)+~P1(f326(f326(f328(x64171),x64173),f326(f303(x64171),x64172)))+P1(f326(f326(f235(x64171),x64172),x64173))
% 197.76/197.85 [6418]~P110(x64181)+~P1(f326(f326(f328(x64181),x64182),f326(f281(x64181),x64183)))+P1(f326(f326(f235(x64181),x64182),x64183))
% 197.76/197.85 [6491]~P1(f326(x64911,x64912))+P1(f326(x64911,f799(x64911)))+~P1(f326(f326(f328(x64913),x64912),f241(f939(x64913,a927))))
% 197.76/197.85 [6633]~P70(x66331)+P1(f326(f326(f235(x66331),f2(x66331)),f905(x66333,x66332,x66331)))+P1(f326(f326(f234(x66331),x66332),x66333))
% 197.76/197.85 [6634]~P71(x66341)+P1(f326(f326(f235(x66341),f2(x66341)),f371(x66343,x66342,x66341)))+P1(f326(f326(f234(x66341),x66342),x66343))
% 197.76/197.85 [6703]~P83(x67031)+~P1(f326(f326(f234(x67031),x67033),f326(f78(x67031),x67032)))+P1(f326(f326(f234(x67031),x67032),f326(f78(x67031),x67033)))
% 197.76/197.85 [6705]~P83(x67051)+~P1(f326(f326(f235(x67051),x67053),f326(f78(x67051),x67052)))+P1(f326(f326(f235(x67051),x67052),f326(f78(x67051),x67053)))
% 197.76/197.85 [6717]~P1(f326(f326(f235(a931),x67171),x67173))+~P1(f326(f326(f235(a931),x67173),x67172))+P1(f326(f326(f235(a931),f326(a112,x67171)),x67172))
% 197.76/197.85 [6745]~P114(x67451)+P1(f326(f326(f234(x67451),f326(f100(x67451),x67452)),f326(f100(x67451),x67453)))+~P1(f326(f326(f234(a931),x67452),x67453))
% 197.76/197.85 [6746]~P122(x67461)+P1(f326(f326(f234(x67461),f326(f102(x67461),x67462)),f326(f102(x67461),x67463)))+~P1(f326(f326(f234(a1),x67462),x67463))
% 197.76/197.85 [6748]~P122(x67481)+P1(f326(f326(f235(x67481),f326(f102(x67481),x67482)),f326(f102(x67481),x67483)))+~P1(f326(f326(f235(a1),x67482),x67483))
% 197.76/197.85 [6749]~P114(x67491)+P1(f326(f326(f235(x67491),f326(f100(x67491),x67492)),f326(f100(x67491),x67493)))+~P1(f326(f326(f235(a931),x67492),x67493))
% 197.76/197.85 [6755]~P111(x67551)+E(f326(f326(f110(f939(x67551,a927)),f326(f281(x67551),x67552)),f326(f301(x67551,x67552),x67553)),f326(f281(x67551),x67553))+~P1(f326(f326(f234(x67551),x67552),x67553))
% 197.76/197.85 [6785]~P83(x67851)+~P1(f326(f326(f234(x67851),x67853),x67852))+P1(f326(f326(f234(x67851),f326(f78(x67851),x67852)),f326(f78(x67851),x67853)))
% 197.76/197.85 [6787]~P99(x67871)+~P1(f326(f326(f234(x67871),x67873),x67872))+P1(f326(f326(f234(x67871),f326(f78(x67871),x67872)),f326(f78(x67871),x67873)))
% 197.76/197.85 [6788]~P83(x67881)+~P1(f326(f326(f235(x67881),x67883),x67882))+P1(f326(f326(f235(x67881),f326(f78(x67881),x67882)),f326(f78(x67881),x67883)))
% 197.76/197.85 [6822]~P111(x68221)+E(f326(f326(f110(f939(x68221,a927)),f326(f281(x68221),x68222)),f302(x68221,x68222,x68223)),f326(f300(x68221),x68223))+~P1(f326(f326(f234(x68221),x68222),x68223))
% 197.76/197.85 [6823]~P111(x68231)+E(f326(f326(f110(f939(x68231,a927)),f326(f300(x68231),x68232)),f305(x68231,x68232,x68233)),f326(f281(x68231),x68233))+~P1(f326(f326(f235(x68231),x68232),x68233))
% 197.76/197.85 [6824]~P111(x68241)+E(f326(f326(f110(f939(x68241,a927)),f326(f300(x68241),x68242)),f304(x68241,x68242,x68243)),f326(f300(x68241),x68243))+~P1(f326(f326(f234(x68241),x68242),x68243))
% 197.76/197.85 [6857]~P111(x68571)+E(f326(f326(f110(f939(x68571,a927)),f326(f301(x68571,x68572),x68573)),f326(f282(x68571),x68573)),f326(f282(x68571),x68572))+~P1(f326(f326(f234(x68571),x68572),x68573))
% 197.76/197.85 [7012]~P111(x70121)+E(f326(f326(f110(f939(x70121,a927)),f302(x70121,x70122,x70123)),f326(f303(x70121),x70123)),f326(f282(x70121),x70122))+~P1(f326(f326(f234(x70121),x70122),x70123))
% 197.76/197.85 [7013]~P111(x70131)+E(f326(f326(f110(f939(x70131,a927)),f305(x70131,x70132,x70133)),f326(f282(x70131),x70133)),f326(f303(x70131),x70132))+~P1(f326(f326(f235(x70131),x70132),x70133))
% 197.76/197.85 [7014]~P111(x70141)+E(f326(f326(f110(f939(x70141,a927)),f304(x70141,x70142,x70143)),f326(f303(x70141),x70143)),f326(f303(x70141),x70142))+~P1(f326(f326(f234(x70141),x70142),x70143))
% 197.76/197.85 [7033]P1(f326(x70331,x70332))+~P1(f326(f326(f234(a931),x70332),x70333))+P1(f326(f326(f328(a931),f435(x70331,x70333)),f302(a931,f2(a931),x70333)))
% 197.76/197.85 [7067]E(x70671,x70672)+~E(f326(f326(f164(x70673),x70671),f666(x70673,x70672,x70671)),f326(f326(f164(x70673),x70672),f666(x70673,x70672,x70671)))+~E(f326(f189(f932(x70673)),x70671),f326(f189(f932(x70673)),x70672))
% 197.76/197.85 [7072]~E(x70723,f326(f326(f36(a931),x70721),x70722))+~P1(f326(f326(f235(a931),f2(a931)),x70722))+P1(f326(f326(f235(a931),x70721),f326(f326(f80(a931),x70722),f326(a112,x70723))))
% 197.76/197.85 [7088]~P1(f326(x70881,x70883))+~P1(f326(f326(f234(a931),x70883),x70882))+P1(f326(f326(f328(a931),f419(x70881,x70882)),f302(a931,f2(a931),x70882)))
% 197.76/197.85 [7127]~P1(f326(x71271,x71273))+P1(f326(x71271,f436(x71271,x71272)))+~P1(f326(f326(f328(a931),x71273),f302(a931,f2(a931),x71272)))
% 197.76/197.85 [7146]~P114(x71463)+~P1(f326(f326(f234(x71463),f326(f100(x71463),x71461)),f326(f100(x71463),x71462)))+P1(f326(f326(f234(a931),x71461),x71462))
% 198.08/197.85 [7147]~P122(x71473)+~P1(f326(f326(f234(x71473),f326(f102(x71473),x71471)),f326(f102(x71473),x71472)))+P1(f326(f326(f234(a1),x71471),x71472))
% 198.08/197.85 [7149]~P114(x71493)+~P1(f326(f326(f235(x71493),f326(f100(x71493),x71491)),f326(f100(x71493),x71492)))+P1(f326(f326(f235(a931),x71491),x71492))
% 198.08/197.85 [7150]~P122(x71503)+~P1(f326(f326(f235(x71503),f326(f102(x71503),x71501)),f326(f102(x71503),x71502)))+P1(f326(f326(f235(a1),x71501),x71502))
% 198.08/197.85 [7167]~P114(x71671)+~P1(f326(f326(f235(x71671),f77(x71671)),x71672))+P1(f326(f326(f235(x71671),f77(x71671)),f326(f326(f243(x71671),x71672),f326(a112,x71673))))
% 198.08/197.85 [7170]~P83(x71701)+~P1(f326(f326(f234(x71701),f326(f78(x71701),x71703)),f326(f78(x71701),x71702)))+P1(f326(f326(f234(x71701),x71702),x71703))
% 198.08/197.85 [7171]~P99(x71711)+~P1(f326(f326(f234(x71711),f326(f78(x71711),x71713)),f326(f78(x71711),x71712)))+P1(f326(f326(f234(x71711),x71712),x71713))
% 198.08/197.85 [7172]~P83(x71721)+~P1(f326(f326(f235(x71721),f326(f78(x71721),x71723)),f326(f78(x71721),x71722)))+P1(f326(f326(f235(x71721),x71722),x71723))
% 198.08/197.85 [7196]P1(f326(x71961,x71962))+~P1(f326(x71961,f437(x71961,x71963)))+~P1(f326(f326(f328(a931),x71962),f302(a931,f2(a931),x71963)))
% 198.08/197.85 [7216]~P70(x72161)+P1(f326(f326(f235(x72161),f905(x72163,x72162,x72161)),f77(x72161)))+P1(f326(f326(f234(x72161),x72162),x72163))
% 198.08/197.85 [7236]~E(f45(a931,x72363,x72362),f45(a931,x72361,x72362))+E(f326(f326(f79(a931),x72361),f326(f326(f80(a931),x72362),f373(x72361,x72362,x72363))),x72363)+~P1(f326(f326(f234(a931),x72361),x72363))
% 198.08/197.85 [7292]E(f326(f326(f8(x72921,a931),x72922),x72923),f2(a931))+~P1(f326(f61(x72921),x72923))+P1(f326(f326(f328(x72921),f863(x72922,x72923,x72921)),x72923))
% 198.08/197.85 [7293]E(f326(f326(f11(x72931,a931),x72932),x72933),f77(a931))+~P1(f326(f61(x72931),x72933))+P1(f326(f326(f328(x72931),f729(x72932,x72933,x72931)),x72933))
% 198.08/197.85 [7315]~P111(x73151)+~P1(f326(f326(f234(x73151),x73152),x73153))+P1(f326(f326(f234(f939(x73151,a927)),f326(f281(x73151),x73152)),f326(f281(x73151),x73153)))
% 198.08/197.85 [7316]~P112(x73161)+~P1(f326(f326(f234(x73161),x73162),x73163))+P1(f326(f326(f234(f939(x73161,a927)),f326(f300(x73161),x73162)),f326(f300(x73161),x73163)))
% 198.08/197.85 [7317]~P112(x73171)+~P1(f326(f326(f234(x73171),x73173),x73172))+P1(f326(f326(f234(f939(x73171,a927)),f326(f282(x73171),x73172)),f326(f282(x73171),x73173)))
% 198.08/197.85 [7318]~P111(x73181)+~P1(f326(f326(f234(x73181),x73183),x73182))+P1(f326(f326(f234(f939(x73181,a927)),f326(f303(x73181),x73182)),f326(f303(x73181),x73183)))
% 198.08/197.85 [7319]~P111(x73191)+~P1(f326(f326(f235(x73191),x73192),x73193))+P1(f326(f326(f235(f939(x73191,a927)),f326(f281(x73191),x73192)),f326(f281(x73191),x73193)))
% 198.08/197.85 [7330]~P7(x73301)+P1(f326(f326(f234(x73301),x73302),f38(x73301,x73303)))+P1(f326(f326(f328(x73301),f376(x73303,x73302,x73301)),x73303))
% 198.08/197.85 [7336]~P83(x73361)+P1(f326(f326(f234(x73361),f326(f326(f3(x73361),x73362),x73363)),f2(x73361)))+~P1(f326(f326(f234(x73361),x73362),x73363))
% 198.08/197.85 [7337]~P83(x73371)+P1(f326(f326(f235(x73371),f326(f326(f3(x73371),x73372),x73373)),f2(x73371)))+~P1(f326(f326(f235(x73371),x73372),x73373))
% 198.08/197.85 [7379]P1(f326(x73791,x73792))+P1(f326(f326(f234(a931),f437(x73791,x73793)),x73793))+~P1(f326(f326(f328(a931),x73792),f302(a931,f2(a931),x73793)))
% 198.08/197.85 [7421]~E(f326(f326(f8(x74211,a931),x74212),x74213),f77(a931))+~P1(f326(f61(x74211),x74213))+P1(f326(f326(f328(x74211),f862(x74212,x74213,x74211)),x74213))
% 198.08/197.85 [7422]~P1(f326(x74221,x74223))+P1(f326(f326(f234(a931),f436(x74221,x74222)),x74222))+~P1(f326(f326(f328(a931),x74223),f302(a931,f2(a931),x74222)))
% 198.08/197.85 [7462]~P7(x74621)+P1(f326(f326(f328(x74621),f916(x74623,x74622,x74621)),x74622))+P1(f326(f326(f234(x74621),f37(x74621,x74622)),x74623))
% 198.08/197.85 [7496]~E(f326(f326(f8(x74961,a931),x74962),x74963),f326(a112,f2(a931)))+~P1(f326(f61(x74961),x74963))+P1(f326(f326(f328(x74961),f874(x74962,x74963,x74961)),x74963))
% 198.08/197.85 [7507]E(x75071,f2(a931))+P1(f326(x75072,f45(a931,x75073,x75071)))+P1(f326(f326(f235(a931),f367(x75071,x75073,x75072)),x75071))
% 198.08/197.85 [7623]~P1(f326(x76231,x76232))+P1(f326(x76231,f45(a931,x76232,x76233)))+P1(f326(f326(f235(a931),f367(x76233,x76232,x76231)),x76233))
% 198.08/197.85 [7629]~P1(f326(f326(a941,x76291),x76293))+P1(f326(f326(a944,x76291),x76292))+P1(f326(f326(f869(x76291,x76293),f871(x76291,x76293,x76292)),x76293))
% 198.08/197.85 [7743]E(x77431,f113(x77432))+~P1(f326(f326(f328(f932(x77432)),x77431),f161(x77432,x77433)))+P1(f326(f326(f328(x77432),f702(x77433,x77431,x77432)),x77433))
% 198.08/197.85 [7765]~P111(x77651)+E(f326(f326(f110(f939(x77651,a927)),f326(f326(f308(x77651),x77652),f188(f939(x77651,a927)))),f305(x77651,x77652,x77653)),f326(f301(x77651,x77652),x77653))+~P1(f326(f326(f235(x77651),x77652),x77653))
% 198.08/197.85 [7788]~P111(x77881)+E(f326(f326(f110(f939(x77881,a927)),f326(f326(f308(x77881),x77882),f188(f939(x77881,a927)))),f304(x77881,x77882,x77883)),f302(x77881,x77882,x77883))+~P1(f326(f326(f234(x77881),x77882),x77883))
% 198.08/197.85 [7898]~P111(x78981)+P1(f326(f326(f234(x78981),x78982),x78983))+~P1(f326(f326(f234(f939(x78981,a927)),f326(f303(x78981),x78983)),f326(f303(x78981),x78982)))
% 198.08/197.85 [7899]~P112(x78991)+P1(f326(f326(f234(x78991),x78992),x78993))+~P1(f326(f326(f234(f939(x78991,a927)),f326(f282(x78991),x78993)),f326(f282(x78991),x78992)))
% 198.08/197.85 [7900]~P111(x79001)+P1(f326(f326(f234(x79001),x79002),x79003))+~P1(f326(f326(f234(f939(x79001,a927)),f326(f281(x79001),x79002)),f326(f281(x79001),x79003)))
% 198.08/197.85 [7901]~P112(x79011)+P1(f326(f326(f234(x79011),x79012),x79013))+~P1(f326(f326(f234(f939(x79011,a927)),f326(f300(x79011),x79012)),f326(f300(x79011),x79013)))
% 198.08/197.85 [7902]~P111(x79021)+P1(f326(f326(f235(x79021),x79022),x79023))+~P1(f326(f326(f235(f939(x79021,a927)),f326(f281(x79021),x79022)),f326(f281(x79021),x79023)))
% 198.08/197.85 [7925]~P83(x79251)+~P1(f326(f326(f234(x79251),f326(f326(f3(x79251),x79252),x79253)),f2(x79251)))+P1(f326(f326(f234(x79251),x79252),x79253))
% 198.08/197.85 [7926]~P83(x79261)+~P1(f326(f326(f235(x79261),f326(f326(f3(x79261),x79262),x79263)),f2(x79261)))+P1(f326(f326(f235(x79261),x79262),x79263))
% 198.08/197.85 [8085]E(x80851,f2(a931))+~E(f326(f142(a931,a931,f79(a931),x80852),x80853),f2(a931))+~P1(f326(f326(f328(a931),x80851),f326(f172(a931),x80853)))
% 198.08/197.85 [8089]~P7(x80891)+~P1(f326(f326(f234(x80891),f916(x80893,x80892,x80891)),x80893))+P1(f326(f326(f234(x80891),f37(x80891,x80892)),x80893))
% 198.08/197.85 [8244]P1(f326(f326(f234(a1),f2(a1)),f356(x82441,x82442,x82443)))+P1(f326(f326(x82442,f326(f326(f36(a1),x82441),x82443)),f45(a1,x82441,x82443)))+~P1(f326(f326(f235(a1),f2(a1)),x82443))
% 198.08/197.85 [8277]P1(f326(f326(a944,x82771),x82772))+~P1(f326(f326(a941,x82771),x82773))+~P1(f326(f326(f872(x82771,x82773),f871(x82771,x82773,x82772)),x82772))
% 198.08/197.85 [8335]E(x83351,x83352)+~E(f326(f189(f932(x83353)),x83351),f326(f189(f932(x83353)),x83352))+~P1(f326(f326(f256(x83353,x83353,a927),a323),f676(x83353,x83351,x83352)))
% 198.08/197.85 [8408]~P41(x84082,x84083)+E(x84081,f188(f939(x84082,a927)))+~P1(f326(f326(f234(f939(x84082,a927)),x84081),f326(f284(x84082,x84082,x84083),x84081)))
% 198.08/197.85 [8437]~P71(x84371)+~P1(f326(f326(f234(x84371),x84372),f326(f326(f79(x84371),x84373),f371(x84373,x84372,x84371))))+P1(f326(f326(f234(x84371),x84372),x84373))
% 198.08/197.85 [8472]P57(x84721,x84722,x84723)+P1(f326(f326(f328(x84721),f512(x84723,x84722,x84721)),x84722))+P1(f326(f326(f328(f938(x84721,x84721)),f513(x84723,x84722,x84721)),x84723))
% 198.08/197.85 [8493]P1(f326(f326(x84932,f326(f326(f36(a1),x84931),x84933)),f45(a1,x84931,x84933)))+~P1(f326(f326(f235(a1),f2(a1)),x84933))+P1(f326(f326(f235(a1),f356(x84931,x84932,x84933)),x84933))
% 198.08/197.85 [8517]E(f326(f309(a931,a931,f326(f326(f9(a931,a931,a931),f3(a931)),x85171)),f326(f301(a931,x85172),x85173)),f188(f939(a931,a927)))+P1(f326(f326(f235(a931),x85171),x85173))+P1(f326(f326(f235(a931),x85172),x85173))
% 198.08/197.85 [8627]E(f326(f309(a931,a931,f326(f326(f9(a931,a931,a931),f3(a931)),x86271)),f326(f301(a931,x86272),x86273)),f326(f326(f308(a931),f2(a931)),f188(f939(a931,a927))))+P1(f326(f326(f235(a931),x86271),x86273))+~P1(f326(f326(f235(a931),x86272),x86273))
% 198.08/197.85 [8641]~P111(x86411)+E(f149(x86411,x86411,f7(x86411),x86412,x86413),x86413)+~P1(f326(f326(f328(x86411),x86412),f326(f172(x86411),x86413)))
% 198.08/197.85 [8655]P27(x86551,x86551,x86552,x86553)+~P1(f326(f61(x86551),x86553))+~P1(f326(f326(f234(f939(x86551,a927)),x86553),f326(f309(x86551,x86551,x86552),x86553)))
% 198.08/197.85 [8681]E(f326(f326(f79(a1),f326(f326(f80(a1),x86811),f357(x86812,x86813,x86811))),f356(x86812,x86813,x86811)),x86812)+P1(f326(f326(x86813,f326(f326(f36(a1),x86812),x86811)),f45(a1,x86812,x86811)))+~P1(f326(f326(f235(a1),f2(a1)),x86811))
% 198.08/197.85 [8917]~P1(f326(f326(x89171,f357(x89172,x89171,x89173)),f356(x89172,x89171,x89173)))+P1(f326(f326(x89171,f326(f326(f36(a1),x89172),x89173)),f45(a1,x89172,x89173)))+~P1(f326(f326(f235(a1),f2(a1)),x89173))
% 198.08/197.85 [9812]~P1(f326(f61(x98121),x98122))+~P1(f326(f326(f328(x98121),x98123),x98122))+P1(f326(f326(f235(a931),f326(f35(x98121),f326(f326(f3(f939(x98121,a927)),x98122),f326(f326(f308(x98121),x98123),f188(f939(x98121,a927)))))),f326(f35(x98121),x98122)))
% 198.08/197.85 [10419]P57(x104191,x104192,x104193)+~P1(f326(f326(f256(x104191,x104191,a927),f326(f326(f9(x104191,f939(x104191,a927),f939(x104191,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x104191,a927),f939(x104191,a927)),x104191),f10(a927,a927,x104191)),f326(f326(f10(a927,f939(a927,a927),x104191),a324),f326(f326(f9(x104191,f939(x104191,a927),a927),f328(x104191)),x104192)))),f326(f326(f9(x104191,f939(x104191,a927),a927),f328(x104191)),x104192))),f513(x104193,x104192,x104191)))+P1(f326(f326(f328(x104191),f512(x104193,x104192,x104191)),x104192))
% 198.08/197.85 [5726]~P126(x57262)+E(x57261,f2(x57262))+E(f326(f326(f290(x57262),x57263),f326(f78(x57262),x57261)),f326(f78(x57262),f326(f326(f290(x57262),x57263),x57261)))
% 198.08/197.85 [5866]~E(x58663,f188(f939(x58661,a927)))+~E(x58662,f188(f939(x58661,a927)))+E(f326(f326(f110(f939(x58661,a927)),x58662),x58663),f188(f939(x58661,a927)))
% 198.08/197.85 [5924]~E(x59243,f2(a931))+~P1(f326(x59241,f2(a931)))+P1(f326(x59241,f326(f326(f36(a931),x59242),x59243)))
% 198.08/197.85 [6067]~P71(x60672)+E(x60671,f2(x60672))+E(f326(f326(f290(x60672),f326(f75(x60672),x60673)),f326(f75(x60672),x60671)),f326(f75(x60672),f326(f326(f290(x60672),x60673),x60671)))
% 198.08/197.85 [6189]~P65(x61891)+E(f326(f326(f80(x61891),x61892),f326(f326(f36(x61891),x61893),x61892)),x61893)+~P1(f326(f326(f286(x61891),x61892),x61893))
% 198.08/197.85 [6244]~P1(f326(f61(x62441),x62443))+E(f326(f35(x62441),f326(f326(f308(x62441),x62442),x62443)),f326(a112,f326(f35(x62441),x62443)))+P1(f326(f326(f328(x62441),x62442),x62443))
% 198.08/197.85 [6322]~E(x63222,f2(a931))+P1(f326(x63221,f2(a931)))+~P1(f326(x63221,f326(f326(f36(a931),x63223),x63222)))
% 198.08/197.85 [6339]~P1(f326(f61(x63391),x63393))+E(f326(f35(x63391),f326(f326(f308(x63391),x63392),x63393)),f326(f35(x63391),x63393))+~P1(f326(f326(f328(x63391),x63392),x63393))
% 198.08/197.85 [6376]~P1(f326(f61(x63761),x63763))+E(f326(f35(x63761),f326(f326(f308(x63761),x63762),x63763)),f326(f326(f79(a931),f77(a931)),f326(f35(x63761),x63763)))+P1(f326(f326(f328(x63761),x63762),x63763))
% 198.08/197.85 [6492]E(f326(f326(f79(a931),x64921),f875(x64921,x64922,x64923)),x64922)+~P1(f326(x64923,f2(a931)))+P1(f326(x64923,f326(f326(f3(a931),x64922),x64921)))
% 198.08/197.85 [6493]E(f326(f326(f79(a931),x64931),f884(x64931,x64932,x64933)),x64932)+~P1(f326(x64933,f2(a931)))+P1(f326(x64933,f326(f326(f3(a931),x64932),x64931)))
% 198.08/197.85 [6539]~P7(x65391)+~P1(f326(f61(x65391),x65393))+E(f326(f326(f64(x65391,x65391,f110(x65391)),x65392),x65393),f326(f326(f110(x65391),x65392),f37(x65391,x65393)))
% 198.08/197.85 [6540]~P7(x65401)+~P1(f326(f61(x65401),x65403))+E(f326(f326(f64(x65401,x65401,f101(x65401)),x65402),x65403),f326(f326(f101(x65401),x65402),f38(x65401,x65403)))
% 198.08/197.85 [6546]~P98(x65461)+~E(f326(f103(x65461),x65462),f326(f103(x65461),x65463))+P32(x65461,f326(f103(x65461),f326(f326(f79(a1),x65462),f326(f78(a1),x65463))))
% 198.08/197.85 [6555]~P145(x65551)+E(f326(f326(f3(x65551),f326(f100(x65551),x65552)),f326(f100(x65551),x65553)),f326(f100(x65551),f326(f326(f3(a931),x65552),x65553)))+~P1(f326(f326(f234(a931),x65553),x65552))
% 198.08/197.85 [6644]E(f326(f326(f79(a931),x66441),f875(x66441,x66442,x66443)),x66442)+P1(f326(f326(f235(a931),x66442),x66441))+P1(f326(x66443,f326(f326(f3(a931),x66442),x66441)))
% 198.08/197.85 [6645]E(f326(f326(f79(a931),x66451),f884(x66451,x66452,x66453)),x66452)+P1(f326(f326(f235(a931),x66452),x66451))+P1(f326(x66453,f326(f326(f3(a931),x66452),x66451)))
% 198.08/197.85 [6661]~P122(x66611)+E(f326(f326(f80(x66611),f326(f75(x66611),x66612)),x66613),f326(f75(x66611),f326(f326(f80(x66611),x66612),x66613)))+~P1(f326(f326(f234(x66611),f2(x66611)),x66613))
% 198.08/197.85 [6662]~P70(x66621)+E(f326(f326(f290(x66621),f326(f75(x66621),x66622)),x66623),f326(f75(x66621),f326(f326(f290(x66621),x66622),x66623)))+~P1(f326(f326(f235(x66621),f2(x66621)),x66623))
% 198.08/197.85 [6670]~P3(x66701)+~P1(f326(f61(x66701),x66703))+E(f326(f326(f64(x66701,x66701,f110(x66701)),x66702),x66703),f12(x66701,f326(f326(f308(x66701),x66702),x66703)))
% 198.08/197.85 [6671]~P3(x66711)+~P1(f326(f61(x66711),x66713))+E(f326(f326(f64(x66711,x66711,f101(x66711)),x66712),x66713),f13(x66711,f326(f326(f308(x66711),x66712),x66713)))
% 198.08/197.85 [6672]~P111(x66721)+~P1(f326(f61(x66721),x66723))+E(f326(f326(f64(x66721,x66721,f232(x66721)),x66722),x66723),f16(x66721,f326(f326(f308(x66721),x66722),x66723)))
% 198.08/197.85 [6673]~P111(x66731)+~P1(f326(f61(x66731),x66733))+E(f326(f326(f64(x66731,x66731,f233(x66731)),x66732),x66733),f17(x66731,f326(f326(f308(x66731),x66732),x66733)))
% 198.08/197.85 [6719]E(x67191,f113(x67192))+~E(f179(x67192,x67193),f113(f932(x67192)))+~P1(f326(f326(f328(f932(x67192)),x67191),f326(f172(f932(x67192)),x67193)))
% 198.08/197.85 [6763]~P1(f326(f137(x67631),x67633))+P1(f326(f326(f328(x67631),x67632),f326(f172(x67631),x67633)))+P1(f326(f137(x67631),f326(f326(f151(x67631),x67632),x67633)))
% 198.08/197.85 [6774]~P100(x67741)+~P1(f326(f61(x67741),x67743))+E(f326(f63(x67741,f80(x67741)),f326(f326(f308(x67741),x67742),x67743)),f326(f326(f64(x67741,x67741,f80(x67741)),x67742),x67743))
% 198.08/197.85 [6796]~P111(x67961)+~P1(f326(f61(x67961),x67963))+E(f14(x67961,f232(x67961),f326(f326(f308(x67961),x67962),x67963)),f326(f326(f64(x67961,x67961,f232(x67961)),x67962),x67963))
% 198.08/197.85 [6797]~P111(x67971)+~P1(f326(f61(x67971),x67973))+E(f15(x67971,f233(x67971),f326(f326(f308(x67971),x67972),x67973)),f326(f326(f64(x67971,x67971,f233(x67971)),x67972),x67973))
% 198.08/197.85 [6799]P1(f326(x67991,f2(a931)))+~P1(f326(f326(f235(a931),x67992),x67993))+~P1(f326(x67991,f326(f326(f3(a931),x67992),x67993)))
% 198.08/197.85 [6820]~P89(x68201)+P1(f326(f326(f234(x68201),x68202),x68203))+~P1(f326(f326(f234(x68201),f326(f75(x68201),x68202)),x68203))
% 198.08/197.85 [6821]~P122(x68211)+P1(f326(f326(f235(x68211),x68212),x68213))+~P1(f326(f326(f235(x68211),f326(f75(x68211),x68212)),x68213))
% 198.08/197.85 [6838]E(x68381,f113(x68382))+E(f326(f141(x68382),f326(f326(f138(x68382),x68383),x68381)),f326(f326(f164(x68382),x68381),x68383))+~P1(f326(f326(f235(a931),x68383),f326(f189(f932(x68382)),x68381)))
% 198.08/197.85 [6890]~P1(f326(x68901,x68903))+P1(f326(x68901,f493(x68901,x68902)))+~P1(f326(f326(f328(a931),x68903),f326(f301(a931,f2(a931)),x68902)))
% 198.08/197.85 [6910]P1(f326(x69101,x69102))+~P1(f326(f326(f235(a931),x69102),x69103))+P1(f326(f326(f328(a931),f489(x69101,x69103)),f326(f301(a931,f2(a931)),x69103)))
% 198.08/197.85 [6925]~P114(x69251)+~P1(f326(f326(f234(x69251),f77(x69251)),x69252))+P1(f326(f326(f234(x69251),f77(x69251)),f326(f326(f243(x69251),x69252),x69253)))
% 198.08/197.85 [6927]~P114(x69271)+~P1(f326(f326(f234(x69271),f2(x69271)),x69272))+P1(f326(f326(f234(x69271),f2(x69271)),f326(f326(f243(x69271),x69272),x69273)))
% 198.08/197.85 [6929]~P114(x69291)+~P1(f326(f326(f235(x69291),f2(x69291)),x69292))+P1(f326(f326(f235(x69291),f2(x69291)),f326(f326(f243(x69291),x69292),x69293)))
% 198.08/197.85 [6953]~P1(f326(x69531,x69533))+~P1(f326(f326(f235(a931),x69533),x69532))+P1(f326(f326(f328(a931),f488(x69531,x69532)),f326(f301(a931,f2(a931)),x69532)))
% 198.08/197.85 [6961]P1(f326(f61(x69611),x69612))+~P1(f326(f61(x69611),x69613))+~P1(f326(f326(f234(f939(x69611,a927)),x69612),x69613))
% 198.08/197.85 [6968]P1(f326(x69681,x69682))+~P1(f326(x69681,f490(x69681,x69683)))+~P1(f326(f326(f328(a931),x69682),f326(f301(a931,f2(a931)),x69683)))
% 198.08/197.85 [6981]E(x69811,f2(a931))+P1(f326(x69812,f366(x69811,x69813,x69812)))+~P1(f326(x69812,f326(f326(f36(a931),x69813),x69811)))
% 198.08/197.85 [6988]~P130(x69882)+E(x69881,f2(x69882))+~E(f326(f326(f79(x69882),f326(f326(f80(x69882),x69883),x69883)),f326(f326(f80(x69882),x69881),x69881)),f2(x69882))
% 198.08/197.85 [6989]~P130(x69892)+E(x69891,f2(x69892))+~E(f326(f326(f79(x69892),f326(f326(f80(x69892),x69891),x69891)),f326(f326(f80(x69892),x69893),x69893)),f2(x69892))
% 198.08/197.85 [7034]E(x70341,f2(a931))+~P1(f326(x70342,f362(x70341,x70343,x70342)))+P1(f326(x70342,f326(f326(f36(a931),x70343),x70341)))
% 198.08/197.85 [7039]~P111(x70391)+~P15(x70391,x70393)+P15(x70391,f326(f326(f148(x70391,x70391,f7(x70391)),x70392),x70393))
% 198.08/197.85 [7081]P1(f326(x70811,f366(x70812,x70813,x70811)))+P1(f326(x70811,f2(a931)))+~P1(f326(x70811,f326(f326(f36(a931),x70813),x70812)))
% 198.08/197.85 [7087]~P98(x70871)+E(f326(f103(x70871),x70872),f326(f103(x70871),x70873))+~P32(x70871,f326(f103(x70871),f326(f326(f79(a1),x70872),f326(f78(a1),x70873))))
% 198.08/197.85 [7153]E(x71531,f2(a1))+E(x71532,f2(a1))+~P1(f326(f49(x71532,x71532),f326(f326(f251(a1,a1),x71533),x71531)))
% 198.08/197.85 [7154]E(x71541,f77(a1))+E(x71542,f2(a1))+~P1(f326(f49(x71542,x71542),f326(f326(f251(a1,a1),x71541),x71543)))
% 198.08/197.85 [7169]P1(f326(x71691,x71692))+P1(f326(f326(f235(a931),f490(x71691,x71693)),x71693))+~P1(f326(f326(f328(a931),x71692),f326(f301(a931,f2(a931)),x71693)))
% 198.08/197.85 [7192]~P1(f326(x71921,f875(x71923,x71922,x71921)))+~P1(f326(x71921,f2(a931)))+P1(f326(x71921,f326(f326(f3(a931),x71922),x71923)))
% 198.08/197.85 [7193]~P1(f326(x71931,f884(x71933,x71932,x71931)))+~P1(f326(x71931,f2(a931)))+P1(f326(x71931,f326(f326(f3(a931),x71932),x71933)))
% 198.08/197.85 [7194]~P1(f326(x71941,f362(x71943,x71942,x71941)))+~P1(f326(x71941,f2(a931)))+P1(f326(x71941,f326(f326(f36(a931),x71942),x71943)))
% 198.08/197.85 [7212]~P1(f326(x72121,x72123))+P1(f326(f326(f235(a931),f493(x72121,x72122)),x72122))+~P1(f326(f326(f328(a931),x72123),f326(f301(a931,f2(a931)),x72122)))
% 198.08/197.85 [7213]E(f326(f326(f3(a931),f326(f326(f3(a931),x72131),x72132)),f326(f326(f3(a931),x72133),x72132)),f326(f326(f3(a931),x72131),x72133))+~P1(f326(f326(f234(a931),x72132),x72131))+~P1(f326(f326(f234(a931),x72132),x72133))
% 198.08/197.85 [7249]~P83(x72491)+~P1(f326(f326(f234(x72491),f326(f78(x72491),x72493)),x72492))+P1(f326(f326(f234(x72491),f326(f78(x72491),x72492)),x72493))
% 198.08/197.85 [7251]~P89(x72511)+~P1(f326(f326(f234(x72511),f326(f75(x72511),x72512)),x72513))+P1(f326(f326(f234(x72511),f326(f78(x72511),x72512)),x72513))
% 198.08/197.85 [7253]~P83(x72531)+~P1(f326(f326(f235(x72531),f326(f78(x72531),x72533)),x72532))+P1(f326(f326(f235(x72531),f326(f78(x72531),x72532)),x72533))
% 198.08/197.85 [7254]~P122(x72541)+~P1(f326(f326(f235(x72541),f326(f75(x72541),x72542)),x72543))+P1(f326(f326(f235(x72541),f326(f78(x72541),x72542)),x72543))
% 198.08/197.85 [7287]~P1(f326(x72873,f875(x72872,x72871,x72873)))+P1(f326(f326(f235(a931),x72871),x72872))+P1(f326(x72873,f326(f326(f3(a931),x72871),x72872)))
% 198.08/197.85 [7288]~P1(f326(x72883,f884(x72882,x72881,x72883)))+P1(f326(f326(f235(a931),x72881),x72882))+P1(f326(x72883,f326(f326(f3(a931),x72881),x72882)))
% 198.08/197.85 [7340]~E(f339(x73403,x73402,x73401),f340(x73403,x73402,x73401))+E(f326(f326(f101(f939(x73401,a927)),x73402),f37(f939(x73401,a927),x73403)),f188(f939(x73401,a927)))+P1(f326(f326(f328(f939(x73401,a927)),x73402),x73403))
% 198.08/197.85 [7348]~P1(f326(f61(x73481),x73483))+P1(f326(f61(x73481),f38(f939(x73481,a927),x73482)))+~P1(f326(f326(f328(f939(x73481,a927)),x73483),x73482))
% 198.08/197.85 [7408]~P111(x74081)+E(f326(f326(f110(f939(x74081,a927)),f326(f301(x74081,x74082),x74083)),f326(f326(f308(x74081),x74083),f188(f939(x74081,a927)))),f302(x74081,x74082,x74083))+~P1(f326(f326(f234(x74081),x74082),x74083))
% 198.08/197.85 [7411]E(x74111,f2(a931))+P1(f326(f326(f235(a931),f363(x74111,x74113,x74112)),x74111))+P1(f326(x74112,f326(f326(f36(a931),x74113),x74111)))
% 198.08/197.85 [7440]P1(f326(f326(f235(a931),f326(f189(f932(x74401)),x74402)),f796(x74403,x74401)))+~P1(f326(f61(f932(x74401)),x74403))+~P1(f326(f326(f328(f932(x74401)),x74402),x74403))
% 198.08/197.85 [7446]E(x74461,x74462)+~P1(f326(f326(f234(f939(x74463,a927)),x74461),x74462))+P1(f326(f326(f235(f939(x74463,a927)),x74461),x74462))
% 198.08/197.85 [7459]E(x74591,x74592)+~E(f326(f189(f932(x74593)),x74591),f326(f189(f932(x74593)),x74592))+P1(f326(f326(f235(a931),f666(x74593,x74591,x74592)),f326(f189(f932(x74593)),x74592)))
% 198.08/197.85 [7508]P10(x75081,x75082,x75083)+~E(f326(f263(x75081,x75081),x75083),x75082)+~E(f326(f326(f288(x75081,x75081,x75081),f326(f285(x75081,x75081),x75083)),x75083),x75083)
% 198.08/197.85 [7590]~P1(f326(x75901,f2(a931)))+P1(f326(f326(f235(a931),f363(x75903,x75902,x75901)),x75903))+P1(f326(x75901,f326(f326(f36(a931),x75902),x75903)))
% 198.08/197.85 [7602]~P111(x76021)+E(f326(f326(f110(f939(x76021,a927)),f305(x76021,x76022,x76023)),f326(f326(f308(x76021),x76023),f188(f939(x76021,a927)))),f304(x76021,x76022,x76023))+~P1(f326(f326(f235(x76021),x76022),x76023))
% 198.08/197.85 [7697]~P1(f326(f61(x76971),x76973))+P1(f326(f326(f234(a931),f326(f35(x76971),x76972)),f326(f35(x76971),x76973)))+~P1(f326(f326(f234(f939(x76971,a927)),x76972),x76973))
% 198.08/197.85 [7698]~P1(f326(f61(x76981),x76983))+P1(f326(f326(f235(a931),f326(f35(x76981),x76982)),f326(f35(x76981),x76983)))+~P1(f326(f326(f235(f939(x76981,a927)),x76982),x76983))
% 198.08/197.85 [7833]E(x78331,x78332)+~P1(f326(f326(f234(f939(x78333,a927)),x78332),x78331))+~P1(f326(f326(f234(f939(x78333,a927)),x78331),x78332))
% 198.08/197.85 [7836]~P111(x78361)+P15(x78361,x78362)+~P15(x78361,f326(f326(f148(x78361,x78361,f7(x78361)),x78363),x78362))
% 198.08/197.85 [7907]~P1(f326(f326(f235(a931),x79073),x79072))+~P1(f326(f326(f235(a931),x79073),x79071))+P1(f326(f326(f235(a931),f326(f326(f3(a931),x79071),x79072)),f326(f326(f3(a931),x79071),x79073)))
% 198.08/197.85 [7908]~P1(f326(f326(f234(a931),x79082),x79081))+~P1(f326(f326(f235(a931),x79081),x79083))+P1(f326(f326(f235(a931),f326(f326(f3(a931),x79081),x79082)),f326(f326(f3(a931),x79083),x79082)))
% 198.08/197.85 [7923]~P1(f326(f326(f235(a1),x79232),f2(a1)))+~P1(f326(f326(f234(a1),x79233),x79231))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x79231),x79232)),f326(f326(f36(a1),x79233),x79232)))
% 198.08/197.85 [7940]~P1(f326(f326(f235(a931),f2(a931)),x79403))+~P1(f326(f326(f234(a931),x79403),x79402))+P1(f326(f326(f234(a931),f326(f326(f36(a931),x79401),x79402)),f326(f326(f36(a931),x79401),x79403)))
% 198.08/197.85 [7941]~P1(f326(f326(f235(a1),f2(a1)),x79412))+~P1(f326(f326(f234(a1),x79411),x79413))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x79411),x79412)),f326(f326(f36(a1),x79413),x79412)))
% 198.08/197.85 [7945]~P1(f326(f326(f235(a931),f2(a931)),x79452))+~P1(f326(f326(f235(a931),x79451),x79453))+P1(f326(f326(f235(a931),f326(f326(f80(a931),x79451),x79452)),f326(f326(f80(a931),x79453),x79452)))
% 198.08/197.85 [7946]~P1(f326(f326(f235(a931),f2(a931)),x79461))+~P1(f326(f326(f235(a931),x79462),x79463))+P1(f326(f326(f235(a931),f326(f326(f80(a931),x79461),x79462)),f326(f326(f80(a931),x79461),x79463)))
% 198.08/197.85 [7947]~P1(f326(f326(f235(a1),f2(a1)),x79471))+~P1(f326(f326(f235(a1),x79472),x79473))+P1(f326(f326(f235(a1),f326(f326(f80(a1),x79471),x79472)),f326(f326(f80(a1),x79471),x79473)))
% 198.08/197.85 [7994]E(x79941,f2(a931))+E(f326(f326(f79(a931),f326(f326(f80(a931),x79941),f362(x79941,x79942,x79943))),f363(x79941,x79942,x79943)),x79942)+P1(f326(x79943,f326(f326(f36(a931),x79942),x79941)))
% 198.08/197.85 [8053]E(f326(f326(f79(a931),f326(f326(f80(a931),x80531),f362(x80531,x80532,x80533))),f363(x80531,x80532,x80533)),x80532)+~P1(f326(x80533,f2(a931)))+P1(f326(x80533,f326(f326(f36(a931),x80532),x80531)))
% 198.08/197.85 [8070]~P1(f326(f61(x80701),x80703))+P1(f326(f326(f328(x80701),f890(x80702,x80703,x80701)),x80703))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f11(x80701,a931),x80702),x80703)))
% 198.08/197.85 [8071]~P1(f326(f61(x80711),x80713))+P1(f326(f326(f328(x80711),f909(x80712,x80713,x80711)),x80713))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f11(x80711,a931),x80712),x80713)))
% 198.08/197.85 [8178]E(x81781,f2(a931))+P1(f326(f326(f286(a931),x81782),x81783))+~P1(f326(f326(f286(a931),f326(f326(f80(a931),x81781),x81782)),f326(f326(f80(a931),x81781),x81783)))
% 198.08/197.85 [8371]E(x83711,f188(f939(x83712,a927)))+E(x83711,f326(f326(f308(x83712),x83713),f188(f939(x83712,a927))))+~P1(f326(f326(f234(f939(x83712,a927)),x83711),f326(f326(f308(x83712),x83713),f188(f939(x83712,a927)))))
% 198.08/197.85 [8409]~P1(f326(f326(f235(a931),f77(a931)),x84093))+P1(f326(f326(f234(a931),x84091),x84092))+~P1(f326(f326(f286(a931),f326(f326(f243(a931),x84093),x84091)),f326(f326(f243(a931),x84093),x84092)))
% 198.08/197.85 [8411]~P1(f326(f326(f235(a931),f2(a931)),x84113))+P1(f326(f326(f234(a931),x84111),x84112))+~P1(f326(f326(f234(a931),f326(f326(f80(a931),x84113),x84111)),f326(f326(f80(a931),x84113),x84112)))
% 198.08/197.85 [8412]~P1(f326(f326(f235(a931),f2(a931)),x84123))+P1(f326(f326(f234(a931),x84121),x84122))+~P1(f326(f326(f234(a931),f326(f326(f80(a931),x84121),x84123)),f326(f326(f80(a931),x84122),x84123)))
% 198.08/197.85 [8414]~P1(f326(f326(f235(a931),f2(a931)),x84143))+P1(f326(f326(f235(a931),x84141),x84142))+~P1(f326(f326(f235(a931),f326(f326(f243(a931),x84143),x84141)),f326(f326(f243(a931),x84143),x84142)))
% 198.08/197.85 [8453]~E(f326(f326(f101(f939(x84531,a927)),f340(x84533,x84532,x84531)),f339(x84533,x84532,x84531)),f188(f939(x84531,a927)))+E(f326(f326(f101(f939(x84531,a927)),x84532),f37(f939(x84531,a927),x84533)),f188(f939(x84531,a927)))+P1(f326(f326(f328(f939(x84531,a927)),x84532),x84533))
% 198.08/197.85 [8467]E(x84671,f113(x84672))+~E(f326(f142(f932(x84672),f932(x84672),f134(x84672),f113(x84672)),x84673),f113(x84672))+~P1(f326(f326(f328(f932(x84672)),x84671),f326(f172(f932(x84672)),x84673)))
% 198.08/197.85 [8522]E(x85221,f188(f939(f939(x85222,a927),a927)))+P1(f326(f326(f328(f939(x85222,a927)),f382(x85223,x85221,x85222)),x85221))+P1(f326(f326(f234(f939(x85222,a927)),f38(f939(x85222,a927),x85221)),x85223))
% 198.08/197.85 [8528]~P75(x85281)+~P79(x85281)+E(f326(f326(f8(a1,x85281),f326(f326(f10(a931,x85281,a1),x85282),a104)),f326(f309(a931,a1,f100(a1)),x85283)),f326(f326(f8(a931,x85281),x85282),x85283))
% 198.08/197.85 [8529]~P75(x85291)+~P79(x85291)+E(f326(f326(f11(a1,x85291),f326(f326(f10(a931,x85291,a1),x85292),a104)),f326(f309(a931,a1,f100(a1)),x85293)),f326(f326(f11(a931,x85291),x85292),x85293))
% 198.08/197.85 [8571]~P1(f326(f61(x85711),x85713))+~P1(f326(f326(f235(a931),f2(a931)),f326(x85712,f890(x85712,x85713,x85711))))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f11(x85711,a931),x85712),x85713)))
% 198.08/197.85 [8572]~P1(f326(f61(x85721),x85723))+~P1(f326(f326(f235(a931),f2(a931)),f326(x85722,f909(x85722,x85723,x85721))))+P1(f326(f326(f235(a931),f2(a931)),f326(f326(f11(x85721,a931),x85722),x85723)))
% 198.08/197.85 [8608]~P69(x86082)+E(x86081,f77(x86082))+E(f326(f326(f290(x86082),f326(f326(f3(x86082),f326(f326(f243(x86082),x86081),x86083)),f77(x86082))),f326(f326(f3(x86082),x86081),f77(x86082))),f326(f326(f8(a931,x86082),f326(f243(x86082),x86081)),f326(f301(a931,f2(a931)),x86083)))
% 198.08/197.85 [8666]E(x86661,f2(a931))+~P1(f326(x86663,f326(f326(f36(a931),x86662),x86661)))+P1(f326(f326(f235(a931),x86662),f326(f326(f80(a931),x86661),f326(a112,f366(x86661,x86662,x86663)))))
% 198.08/197.85 [8684]P1(f326(x86841,f2(a931)))+~P1(f326(x86841,f326(f326(f36(a931),x86842),x86843)))+P1(f326(f326(f235(a931),x86842),f326(f326(f80(a931),x86843),f326(a112,f366(x86843,x86842,x86841)))))
% 198.08/197.85 [8722]E(x87221,f2(a931))+~P1(f326(x87223,f326(f326(f36(a931),x87222),x87221)))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x87221),f366(x87221,x87222,x87223))),x87222))
% 198.08/197.85 [8753]P1(f326(x87531,f2(a931)))+~P1(f326(x87531,f326(f326(f36(a931),x87533),x87532)))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x87532),f366(x87532,x87533,x87531))),x87533))
% 198.08/197.85 [8761]~P111(x87611)+E(f326(f326(f148(x87611,x87611,f7(x87611)),x87612),x87613),f149(x87611,x87611,f7(x87611),x87612,x87613))+P1(f326(f326(f328(x87611),x87612),f326(f172(x87611),x87613)))
% 198.08/197.85 [8796]~E(f326(x87963,f597(x87962,x87963,x87961)),f326(x87963,f600(x87962,x87963,x87961)))+~P64(x87961,f326(x87963,f598(x87962,x87963,x87961)))+P64(x87961,f326(f326(f40(x87962,f939(x87961,f939(x87961,a927))),f241(f939(x87962,a927))),x87963))
% 198.08/197.85 [8805]E(x88051,f188(f939(f939(x88052,a927),a927)))+~P1(f326(f326(f234(f939(x88052,a927)),f382(x88053,x88051,x88052)),x88053))+P1(f326(f326(f234(f939(x88052,a927)),f38(f939(x88052,a927),x88051)),x88053))
% 198.08/197.85 [8865]~P71(x88651)+~P1(f326(f326(f235(x88651),x88652),x88653))+P1(f326(f326(f235(x88651),x88652),f326(f326(f290(x88651),f326(f326(f79(x88651),x88652),x88653)),f326(f326(f79(x88651),f77(x88651)),f77(x88651)))))
% 198.08/197.85 [8923]~P1(f326(f326(x89231,f406(x89231,x89233,x89232)),f407(x89231,x89233,x89232)))+P1(f326(f326(x89231,x89232),x89233))+~P1(f326(f314(f938(a1,a1),a52),f326(f326(f251(a1,a1),x89232),x89233)))
% 198.08/197.85 [8924]~P1(f326(f326(x89241,f408(x89241,x89243,x89242)),f410(x89241,x89243,x89242)))+P1(f326(f326(x89241,x89242),x89243))+~P1(f326(f314(f938(a1,a1),a58),f326(f326(f251(a1,a1),x89242),x89243)))
% 198.08/197.85 [8925]~P1(f326(f326(x89251,f411(x89251,x89253,x89252)),f414(x89251,x89253,x89252)))+P1(f326(f326(x89251,x89252),x89253))+~P1(f326(f314(f938(a1,a1),a221),f326(f326(f251(a1,a1),x89252),x89253)))
% 198.08/197.85 [8926]~P1(f326(f326(x89261,f415(x89261,x89263,x89262)),f416(x89261,x89263,x89262)))+P1(f326(f326(x89261,x89262),x89263))+~P1(f326(f314(f938(a931,a931),a219),f326(f326(f251(a931,a931),x89262),x89263)))
% 198.08/197.85 [8927]~P1(f326(f326(x89271,f688(x89271,x89273,x89272)),f691(x89271,x89273,x89272)))+P1(f326(f326(x89271,x89272),x89273))+~P1(f326(f314(f938(a1,a1),a182),f326(f326(f251(a1,a1),x89272),x89273)))
% 198.08/197.85 [8928]~P1(f326(f326(x89281,f785(x89281,x89283,x89282)),f786(x89281,x89283,x89282)))+P1(f326(f326(x89281,x89282),x89283))+~P1(f326(f314(f938(a1,a1),a133),f326(f326(f251(a1,a1),x89282),x89283)))
% 198.08/197.85 [9203]P1(f326(f326(x92031,x92032),x92033))+P1(f326(f314(f938(a931,a931),a219),f326(f326(f251(a931,a931),f415(x92031,x92033,x92032)),f416(x92031,x92033,x92032))))+~P1(f326(f314(f938(a931,a931),a219),f326(f326(f251(a931,a931),x92032),x92033)))
% 198.08/197.85 [9204]P1(f326(f326(x92041,x92042),x92043))+P1(f326(f314(f938(a1,a1),a52),f326(f326(f251(a1,a1),f406(x92041,x92043,x92042)),f407(x92041,x92043,x92042))))+~P1(f326(f314(f938(a1,a1),a52),f326(f326(f251(a1,a1),x92042),x92043)))
% 198.08/197.85 [9205]P1(f326(f326(x92051,x92052),x92053))+P1(f326(f314(f938(a1,a1),a58),f326(f326(f251(a1,a1),f408(x92051,x92053,x92052)),f410(x92051,x92053,x92052))))+~P1(f326(f314(f938(a1,a1),a58),f326(f326(f251(a1,a1),x92052),x92053)))
% 198.08/197.85 [9206]P1(f326(f326(x92061,x92062),x92063))+P1(f326(f314(f938(a1,a1),a221),f326(f326(f251(a1,a1),f411(x92061,x92063,x92062)),f414(x92061,x92063,x92062))))+~P1(f326(f314(f938(a1,a1),a221),f326(f326(f251(a1,a1),x92062),x92063)))
% 198.08/197.85 [9207]P1(f326(f326(x92071,x92072),x92073))+P1(f326(f314(f938(a1,a1),a182),f326(f326(f251(a1,a1),f688(x92071,x92073,x92072)),f691(x92071,x92073,x92072))))+~P1(f326(f314(f938(a1,a1),a182),f326(f326(f251(a1,a1),x92072),x92073)))
% 198.08/197.85 [9208]P1(f326(f326(x92081,x92082),x92083))+P1(f326(f314(f938(a1,a1),a133),f326(f326(f251(a1,a1),f785(x92081,x92083,x92082)),f786(x92081,x92083,x92082))))+~P1(f326(f314(f938(a1,a1),a133),f326(f326(f251(a1,a1),x92082),x92083)))
% 198.08/197.85 [9549]~P1(f326(f61(x95491),x95493))+P1(f326(f326(f328(f938(f939(x95491,a927),f939(x95491,a927))),f326(f326(f251(f939(x95491,a927),f939(x95491,a927)),x95492),x95493)),f313(x95491)))+~P1(f326(f326(f235(f939(x95491,a927)),x95492),x95493))
% 198.08/197.85 [9622]~P64(x96221,f326(x96223,f598(x96222,x96223,x96221)))+P64(x96221,f326(f326(f40(x96222,f939(x96221,f939(x96221,a927))),f241(f939(x96222,a927))),x96223))+~E(f326(f326(f101(f939(x96221,a927)),f248(x96221,x96221,f326(x96223,f597(x96222,x96223,x96221)))),f249(x96221,x96221,f326(x96223,f600(x96222,x96223,x96221)))),f188(f939(x96221,a927)))
% 198.08/197.85 [9825]P57(x98251,x98252,x98253)+P1(f326(f326(f328(f938(x98251,x98251)),f513(x98253,x98252,x98251)),x98253))+~P1(f326(f326(f328(f938(x98251,x98251)),f326(f326(f251(x98251,x98251),f512(x98253,x98252,x98251)),f512(x98253,x98252,x98251))),x98253))
% 198.08/197.85 [10422]P57(x104221,x104222,x104223)+~P1(f326(f326(f256(x104221,x104221,a927),f326(f326(f9(x104221,f939(x104221,a927),f939(x104221,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x104221,a927),f939(x104221,a927)),x104221),f10(a927,a927,x104221)),f326(f326(f10(a927,f939(a927,a927),x104221),a324),f326(f326(f9(x104221,f939(x104221,a927),a927),f328(x104221)),x104222)))),f326(f326(f9(x104221,f939(x104221,a927),a927),f328(x104221)),x104222))),f513(x104223,x104222,x104221)))+~P1(f326(f326(f328(f938(x104221,x104221)),f326(f326(f251(x104221,x104221),f512(x104223,x104222,x104221)),f512(x104223,x104222,x104221))),x104223))
% 198.08/197.85 [5906]~P65(x59062)+E(x59061,f2(x59062))+E(f326(f326(f36(x59062),f326(f326(f80(x59062),x59063),x59061)),x59061),x59063)
% 198.08/197.85 [5907]~P65(x59072)+E(x59071,f2(x59072))+E(f326(f326(f36(x59072),f326(f326(f80(x59072),x59071),x59073)),x59071),x59073)
% 198.08/197.85 [6556]~P65(x65561)+E(f326(f326(f80(x65561),f326(f326(f36(x65561),x65562),x65563)),x65563),x65562)+~P1(f326(f326(f286(x65561),x65563),x65562))
% 198.08/197.85 [6718]~P79(x67181)+~E(f326(x67182,f2(a931)),f2(x67181))+E(f326(f326(f8(a931,x67181),x67182),f326(f301(a931,f326(a112,f2(a931))),x67183)),f326(f326(f8(a931,x67181),x67182),f326(f301(a931,f2(a931)),x67183)))
% 198.08/197.85 [6850]~P65(x68502)+E(x68501,f2(x68502))+E(f326(f326(f36(x68502),f326(f326(f79(x68502),x68503),x68501)),x68501),f326(f326(f79(x68502),f326(f326(f36(x68502),x68503),x68501)),f77(x68502)))
% 198.08/197.85 [6851]~P65(x68512)+E(x68511,f2(x68512))+E(f326(f326(f36(x68512),f326(f326(f79(x68512),x68511),x68513)),x68511),f326(f326(f79(x68512),f326(f326(f36(x68512),x68513),x68511)),f77(x68512)))
% 198.08/197.85 [7070]~P1(f326(x70703,f2(a1)))+P1(f326(f326(f234(a931),x70701),x70702))+P1(f326(x70703,f326(f100(a1),f326(f326(f3(a931),x70702),x70701))))
% 198.08/197.85 [7175]P1(f326(f326(f235(a931),x71752),x71751))+P1(f326(f326(f234(a931),x71751),x71752))+P1(f326(x71753,f326(f100(a1),f326(f326(f3(a931),x71752),x71751))))
% 198.08/197.85 [7247]E(f326(f326(f79(a931),f326(f103(a931),x72471)),f326(f326(f79(a931),f326(f103(a931),x72472)),x72473)),f326(f326(f79(a931),f326(f103(a931),x72471)),x72473))+P1(f326(a193,f326(f103(a1),x72471)))+~P1(f326(a193,f326(f103(a1),x72472)))
% 198.08/197.85 [7327]~E(x73272,f326(f326(f36(a931),x73273),x73271))+~P1(f326(f326(f235(a931),f2(a931)),x73271))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x73271),x73272)),x73273))
% 198.08/197.85 [7443]~P1(f326(f61(x74431),x74433))+~P1(f326(f61(x74431),x74432))+P1(f326(f61(x74431),f326(f326(f110(f939(x74431,a927)),x74432),x74433)))
% 198.08/197.85 [7493]~P42(x74931,x74933)+~P42(x74931,x74932)+P42(x74931,f326(f326(f101(f939(f938(x74931,x74931),a927)),x74932),x74933))
% 198.08/197.85 [7494]~P56(x74941,x74943)+~P56(x74941,x74942)+P56(x74941,f326(f326(f110(f939(f938(x74941,x74941),a927)),x74942),x74943))
% 198.08/197.85 [7495]~P56(x74951,x74953)+~P56(x74951,x74952)+P56(x74951,f326(f326(f101(f939(f938(x74951,x74951),a927)),x74952),x74953))
% 198.08/197.85 [7749]~P111(x77491)+~P1(f326(f61(x77491),x77492))+E(f139(x77491,f326(f326(f3(f939(x77491,a927)),x77492),f326(f326(f308(x77491),x77493),f188(f939(x77491,a927))))),f170(x77491,x77493,f139(x77491,x77492)))
% 198.08/197.85 [7812]P1(f326(x78121,f2(a1)))+~P1(f326(f326(f235(a931),x78122),x78123))+~P1(f326(x78121,f326(f100(a1),f326(f326(f3(a931),x78122),x78123))))
% 198.08/197.85 [7830]~P1(f326(f61(x78301),x78302))+E(f326(f35(x78301),f326(f326(f3(f939(x78301,a927)),x78302),f326(f326(f308(x78301),x78303),f188(f939(x78301,a927))))),f326(f35(x78301),x78302))+P1(f326(f326(f328(x78301),x78303),x78302))
% 198.08/197.85 [7962]~P114(x79621)+~P1(f326(f326(f235(x79621),f77(x79621)),x79622))+P1(f326(f326(f235(x79621),f77(x79621)),f326(f326(f80(x79621),x79622),f326(f326(f243(x79621),x79622),x79623))))
% 198.08/197.85 [8004]~P1(f326(f61(x80041),x80043))+E(f326(f326(f3(a931),f326(f35(x80041),x80042)),f326(f35(x80041),x80043)),f326(f35(x80041),f326(f326(f3(f939(x80041,a927)),x80042),x80043)))+~P1(f326(f326(f234(f939(x80041,a927)),x80043),x80042))
% 198.08/197.85 [8061]~P1(f326(f326(f234(a931),x80612),x80613))+~P1(f326(f326(f234(a931),x80611),f326(f326(f3(a931),x80613),x80612)))+P1(f326(f326(f234(a931),f326(f326(f79(a931),x80611),x80612)),x80613))
% 198.08/197.85 [8120]P1(f326(f61(x81201),x81202))+~P1(f326(f61(x81201),x81203))+~P1(f326(f61(x81201),f326(f326(f3(f939(x81201,a927)),x81202),x81203)))
% 198.08/197.85 [8126]~P1(f326(f61(x81261),x81262))+E(f326(f35(x81261),f326(f326(f3(f939(x81261,a927)),x81262),f326(f326(f308(x81261),x81263),f188(f939(x81261,a927))))),f326(f326(f3(a931),f326(f35(x81261),x81262)),f77(a931)))+~P1(f326(f326(f328(x81261),x81263),x81262))
% 198.08/197.85 [8203]P64(x82031,x82032)+~P64(x82031,x82033)+~P1(f326(f326(f234(f939(x82031,f939(x82031,a927))),x82032),x82033))
% 198.08/197.85 [8243]~P1(f326(f326(f234(a931),x82433),x82432))+P1(f326(f326(f234(a931),x82431),f326(f326(f3(a931),x82432),x82433)))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),x82431),x82433)),x82432))
% 198.08/197.85 [8263]P41(x82631,x82632)+~P41(x82631,x82633)+~P1(f326(f326(f234(f939(f938(x82631,x82631),a927)),x82632),x82633))
% 198.08/197.85 [8264]P62(x82641,x82642)+~P62(x82641,x82643)+~P1(f326(f326(f234(f939(f938(x82641,x82641),a927)),x82642),x82643))
% 198.08/197.85 [8265]P43(x82651,x82652)+~P43(x82651,x82653)+~P1(f326(f326(f234(f939(f938(x82651,x82651),a927)),x82652),x82653))
% 198.08/197.85 [8500]~P114(x85001)+~P1(f326(f326(f235(x85001),f77(x85001)),x85002))+P1(f326(f326(f235(x85001),f326(f326(f243(x85001),x85002),x85003)),f326(f326(f80(x85001),x85002),f326(f326(f243(x85001),x85002),x85003))))
% 198.08/197.85 [8590]~P1(f326(x85901,f2(a1)))+~P1(f326(x85901,f326(f326(f3(a1),f326(f100(a1),x85902)),f326(f100(a1),x85903))))+P1(f326(x85901,f326(f100(a1),f326(f326(f3(a931),x85902),x85903))))
% 198.08/197.85 [8605]~P1(f326(f326(f234(a931),x86053),x86052))+P1(f326(x86051,f326(f326(f3(a1),f326(f100(a1),x86052)),f326(f100(a1),x86053))))+~P1(f326(x86051,f326(f100(a1),f326(f326(f3(a931),x86052),x86053))))
% 198.08/197.85 [8624]P1(f326(f326(f235(a931),x86241),x86242))+~P1(f326(x86243,f326(f326(f3(a1),f326(f100(a1),x86241)),f326(f100(a1),x86242))))+P1(f326(x86243,f326(f100(a1),f326(f326(f3(a931),x86241),x86242))))
% 198.08/197.85 [8678]~P130(x86782)+E(x86781,f2(x86782))+P1(f326(f326(f235(x86782),f2(x86782)),f326(f326(f79(x86782),f326(f326(f80(x86782),x86783),x86783)),f326(f326(f80(x86782),x86781),x86781))))
% 198.08/197.85 [8679]~P130(x86792)+E(x86791,f2(x86792))+P1(f326(f326(f235(x86792),f2(x86792)),f326(f326(f79(x86792),f326(f326(f80(x86792),x86791),x86791)),f326(f326(f80(x86792),x86793),x86793))))
% 198.08/197.85 [8778]~P1(f326(f326(f235(a931),f2(a931)),x87781))+~P1(f326(f326(f235(a1),x87782),x87783))+P1(f326(f326(f235(a1),f326(f326(f80(a1),f326(f100(a1),x87781)),x87782)),f326(f326(f80(a1),f326(f100(a1),x87781)),x87783)))
% 198.08/197.85 [8834]E(f326(f326(f101(f939(x88341,a927)),x88342),f37(f939(x88341,a927),x88343)),f188(f939(x88341,a927)))+P1(f326(f326(f328(f939(x88341,a927)),x88342),x88343))+P1(f326(f326(f328(f939(x88341,a927)),f340(x88343,x88342,x88341)),f326(f326(f308(f939(x88341,a927)),x88342),x88343)))
% 198.08/197.85 [8835]E(f326(f326(f101(f939(x88351,a927)),x88352),f37(f939(x88351,a927),x88353)),f188(f939(x88351,a927)))+P1(f326(f326(f328(f939(x88351,a927)),x88352),x88353))+P1(f326(f326(f328(f939(x88351,a927)),f339(x88353,x88352,x88351)),f326(f326(f308(f939(x88351,a927)),x88352),x88353)))
% 198.08/197.85 [8864]E(x88641,x88642)+~E(f326(f189(f932(x88643)),x88641),f326(f189(f932(x88643)),x88642))+P1(f326(f326(f328(f938(x88643,x88643)),f676(x88643,x88641,x88642)),f326(f172(f938(x88643,x88643)),f326(f326(f181(x88643,x88643),x88642),x88641))))
% 198.08/197.85 [9115]E(f306(x91151,x91152),f306(x91151,x91153))+~P1(f326(f326(f234(f939(f938(x91151,x91151),a927)),x91153),f306(x91151,x91152)))+~P1(f326(f326(f234(f939(f938(x91151,x91151),a927)),x91152),x91153))
% 198.08/197.85 [9183]~P57(x91831,f241(f939(x91831,a927)),x91833)+P1(f326(f326(f234(f939(f938(f932(x91831),f932(x91831)),a927)),f157(x91831,x91832)),f158(x91831,x91833)))+~P1(f326(f326(f234(f939(f938(x91831,x91831),a927)),x91832),x91833))
% 198.08/197.85 [9378]P41(x93781,x93782)+~P1(f326(f326(f328(x93781),x93783),f612(x93782,x93781)))+P1(f326(f326(f328(f938(x93781,x93781)),f326(f326(f251(x93781,x93781),f625(x93782,x93781,x93783)),x93783)),x93782))
% 198.08/197.85 [9420]~P1(f326(f61(x94201),x94202))+P1(f326(f61(f939(x94201,a927)),f326(f326(f60(x94201),x94202),x94203)))+~P1(f326(f326(f234(f939(f938(x94201,x94201),a927)),x94203),f326(f326(f253(x94201,x94201),x94202),f326(f18(f939(x94201,a927),x94201),x94202))))
% 198.08/197.85 [9458]P57(x94581,x94582,x94583)+P1(f326(f326(f328(x94581),f554(x94583,x94582,x94581)),x94582))+~P1(f326(f326(f234(f939(f938(x94581,x94581),a927)),x94583),f326(f326(f253(x94581,x94581),x94582),f326(f18(f939(x94581,a927),x94581),x94582))))
% 198.08/197.85 [9459]P57(x94591,x94592,x94593)+P1(f326(f326(f328(x94591),f557(x94592,x94593,x94591)),x94592))+~P1(f326(f326(f234(f939(f938(x94591,x94591),a927)),x94593),f326(f326(f253(x94591,x94591),x94592),f326(f18(f939(x94591,a927),x94591),x94592))))
% 198.08/197.85 [9493]~P71(x94931)+~P1(f326(f326(f235(x94931),x94932),x94933))+P1(f326(f326(f235(x94931),f326(f326(f290(x94931),f326(f326(f79(x94931),x94932),x94933)),f326(f326(f79(x94931),f77(x94931)),f77(x94931)))),x94933))
% 198.08/197.85 [9522]~P70(x95221)+P1(f326(f326(f234(x95221),x95222),x95223))+~P1(f326(f326(f234(x95221),f326(f326(f80(x95221),f905(x95223,x95222,x95221)),x95222)),x95223))
% 198.08/197.85 [9657]E(f326(f189(f932(f932(x96571))),f326(f136(f932(x96571),f326(f326(f10(a931,a927,f932(x96571)),f326(f235(a931),x96572)),f189(f932(x96571)))),f179(x96571,x96573))),f326(f189(f932(x96571)),f326(f326(f164(f932(x96571)),x96573),x96572)))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x96571),a931),f189(f932(x96571))),x96573)))+~P1(f326(f326(f235(a931),x96572),f326(f189(f932(f932(x96571))),x96573)))
% 198.08/197.85 [9772]~P41(x97721,x97722)+P29(x97721,f326(f326(f251(f939(f938(x97721,x97721),a927),f939(f938(x97721,x97721),a927)),x97722),x97723))+~P1(f326(f326(f234(f939(f938(x97721,x97721),a927)),f326(f326(f288(x97721,x97721,x97721),x97722),x97723)),x97722))
% 198.08/197.85 [9778]E(f326(f326(f154(f932(x97781),x97781),f326(f326(f9(f932(x97781),a931,x97781),f164(x97781)),x97782)),f326(f136(f932(x97781),f326(f326(f10(a931,a927,f932(x97781)),f326(f235(a931),x97782)),f189(f932(x97781)))),f179(x97781,x97783))),f326(f326(f164(f932(x97781)),x97783),x97782))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x97781),a931),f189(f932(x97781))),x97783)))+~P1(f326(f326(f235(a931),x97782),f326(f189(f932(f932(x97781))),x97783)))
% 198.08/197.85 [9915]P57(x99151,x99152,x99153)+~P1(f326(f326(f328(f938(x99151,x99151)),f326(f326(f251(x99151,x99151),f554(x99153,x99152,x99151)),f554(x99153,x99152,x99151))),x99153))+~P1(f326(f326(f234(f939(f938(x99151,x99151),a927)),x99153),f326(f326(f253(x99151,x99151),x99152),f326(f18(f939(x99151,a927),x99151),x99152))))
% 198.08/197.85 [9916]P57(x99161,x99162,x99163)+~P1(f326(f326(f328(f938(x99161,x99161)),f326(f326(f251(x99161,x99161),f557(x99162,x99163,x99161)),f557(x99162,x99163,x99161))),x99163))+~P1(f326(f326(f234(f939(f938(x99161,x99161),a927)),x99163),f326(f326(f253(x99161,x99161),x99162),f326(f18(f939(x99161,a927),x99161),x99162))))
% 198.08/197.85 [10084]~P145(x100841)+~P128(x100841)+E(f326(f326(f290(x100841),f326(f102(x100841),f326(f326(f72(f938(a1,a1),a1,x100842,f250(a1,a1)),f212(x100842)),x100843))),f326(f102(x100841),f326(f326(f72(f938(a1,a1),a1,x100842,f255(a1,a1)),f212(x100842)),x100843))),f222(x100842,x100841,x100843))
% 198.08/197.85 [10290]~E(x102903,f2(a931))+~E(f326(f189(f932(x102901)),f326(f326(f164(f932(x102901)),x102902),f723(x102903,x102901,x102902))),x102903)+E(f326(f326(f154(a931,f932(x102901)),f326(f326(f9(a931,f932(a931),f932(x102901)),f326(f326(f10(f939(a931,x102901),f939(f932(a931),f932(x102901)),a931),f154(a931,x102901)),f326(f9(a931,a931,x102901),f326(f326(f10(f932(x102901),f939(a931,x102901),a931),f164(x102901)),f326(f164(f932(x102901)),x102902))))),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(f932(x102901))),x102902))))),f139(a931,f326(f301(a931,f2(a931)),x102903))),f179(x102901,x102902))
% 198.08/197.85 [10291]E(x102911,f113(f932(x102912)))+~E(f326(f189(f932(x102912)),f326(f326(f164(f932(x102912)),x102911),f723(x102913,x102912,x102911))),x102913)+E(f326(f326(f154(a931,f932(x102912)),f326(f326(f9(a931,f932(a931),f932(x102912)),f326(f326(f10(f939(a931,x102912),f939(f932(a931),f932(x102912)),a931),f154(a931,x102912)),f326(f9(a931,a931,x102912),f326(f326(f10(f932(x102912),f939(a931,x102912),a931),f164(x102912)),f326(f164(f932(x102912)),x102911))))),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(f932(x102912))),x102911))))),f139(a931,f326(f301(a931,f2(a931)),x102913))),f179(x102912,x102911))
% 198.08/197.85 [10292]~E(x102923,f2(a931))+E(f326(f326(f154(a931,f932(x102921)),f326(f326(f9(a931,f932(a931),f932(x102921)),f326(f326(f10(f939(a931,x102921),f939(f932(a931),f932(x102921)),a931),f154(a931,x102921)),f326(f9(a931,a931,x102921),f326(f326(f10(f932(x102921),f939(a931,x102921),a931),f164(x102921)),f326(f164(f932(x102921)),x102922))))),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(f932(x102921))),x102922))))),f139(a931,f326(f301(a931,f2(a931)),x102923))),f179(x102921,x102922))+P1(f326(f326(f235(a931),f723(x102923,x102921,x102922)),f326(f189(f932(f932(x102921))),x102922)))
% 198.08/197.85 [10293]E(x102931,f113(f932(x102932)))+E(f326(f326(f154(a931,f932(x102932)),f326(f326(f9(a931,f932(a931),f932(x102932)),f326(f326(f10(f939(a931,x102932),f939(f932(a931),f932(x102932)),a931),f154(a931,x102932)),f326(f9(a931,a931,x102932),f326(f326(f10(f932(x102932),f939(a931,x102932),a931),f164(x102932)),f326(f164(f932(x102932)),x102931))))),f139(a931,f326(f301(a931,f2(a931)),f326(f189(f932(f932(x102932))),x102931))))),f139(a931,f326(f301(a931,f2(a931)),x102933))),f179(x102932,x102931))+P1(f326(f326(f235(a931),f723(x102933,x102932,x102931)),f326(f189(f932(f932(x102932))),x102931)))
% 198.08/197.85 [8001]E(f326(f326(f79(a931),f326(f103(a931),x80011)),f326(f326(f79(a931),f326(f103(a931),x80012)),x80013)),f326(f326(f79(a931),f326(f103(a931),f326(f326(f79(a1),x80011),x80012))),x80013))+P1(f326(a193,f326(f103(a1),x80011)))+P1(f326(a193,f326(f103(a1),x80012)))
% 198.08/197.85 [8770]~P1(f326(f61(x87701),x87702))+~P1(f326(f326(f328(x87701),x87703),x87702))+E(f326(a112,f326(f35(x87701),f326(f326(f3(f939(x87701,a927)),x87702),f326(f326(f308(x87701),x87703),f188(f939(x87701,a927)))))),f326(f35(x87701),x87702))
% 198.08/197.85 [8786]~P1(f326(f61(x87861),x87862))+~P1(f326(f326(f328(x87861),x87863),x87862))+E(f326(f326(f79(a931),f77(a931)),f326(f35(x87861),f326(f326(f3(f939(x87861,a927)),x87862),f326(f326(f308(x87861),x87863),f188(f939(x87861,a927)))))),f326(f35(x87861),x87862))
% 198.08/197.85 [8873]~P111(x88731)+~P1(f326(f61(x88731),x88733))+E(f326(f326(f148(x88731,x88731,f7(x88731)),x88732),f139(x88731,f326(f326(f3(f939(x88731,a927)),x88733),f326(f326(f308(x88731),x88732),f188(f939(x88731,a927)))))),f139(x88731,f326(f326(f308(x88731),x88732),x88733)))
% 198.08/197.85 [9039]~P1(f326(f61(x90391),x90393))+~P1(f326(f61(x90391),x90392))+E(f326(f326(f79(a931),f326(f35(x90391),f326(f326(f110(f939(x90391,a927)),x90392),x90393))),f326(f35(x90391),f326(f326(f101(f939(x90391,a927)),x90392),x90393))),f326(f326(f79(a931),f326(f35(x90391),x90392)),f326(f35(x90391),x90393)))
% 198.08/197.85 [10239]~P27(x102391,f939(f939(x102391,a927),a927),f326(f326(f9(x102391,f939(f938(x102391,x102391),a927),f939(f939(x102391,a927),a927)),f326(f326(f10(f939(x102391,a927),f939(f939(f938(x102391,x102391),a927),f939(f939(x102391,a927),a927)),x102391),f60(x102391)),f326(f326(f9(x102391,f939(x102391,a927),f939(x102391,a927)),f308(x102391)),f188(f939(x102391,a927))))),x102393),x102392)+~P1(f326(f61(x102391),x102392))+E(f326(f35(f939(x102391,a927)),f326(f326(f60(x102391),x102392),x102393)),f326(f35(x102391),x102392))
% 198.08/197.85 [8278]~P98(x82781)+P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x82783)))+E(f326(f326(f243(x82781),x82782),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x82783),x82783)),a97))),f77(x82781))
% 198.08/197.85 [9757]~P98(x97571)+~P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),x97573)))+E(f326(f326(f243(x97571),x97572),f326(f103(a931),f326(f326(f3(a1),f326(f326(f79(a1),x97573),x97573)),a97))),f326(f326(f85(x97571,x97571),f326(f326(f243(x97571),x97572),f326(f103(a931),x97573))),f326(f326(f20(x97571,x97571,x97571),f326(f326(f10(x97571,f939(x97571,x97571),x97571),f80(x97571)),f326(f80(x97571),x97572))),f7(x97571))))
% 198.08/197.85 [10147]~P1(f326(f137(x101471),x101473))+~P1(f326(f326(f328(x101471),x101472),f326(f172(x101471),x101473)))+E(f326(f326(f138(x101471),f326(f189(f932(x101471)),f177(x101471,f326(f326(f10(a927,a927,x101471),a321),f326(f326(f9(x101471,x101471,a927),a323),x101472)),f326(f168(x101471),x101473)))),f326(f168(x101471),x101473)),f326(f326(f151(x101471),x101472),f326(f168(x101471),f177(x101471,f326(f326(f10(a927,a927,x101471),a321),f326(f326(f9(x101471,x101471,a927),a323),x101472)),x101473))))
% 198.08/197.85 [10209]P1(f326(f326(f234(f939(f938(x102091,x102091),a927)),f306(x102091,x102092)),x102093))+~P1(f326(f326(f234(f939(f938(x102091,x102091),a927)),f306(x102091,f188(f939(f938(x102091,x102091),a927)))),x102093))+~P1(f326(f326(f234(f939(f938(x102091,x102091),a927)),f326(f326(f288(x102091,x102091,x102091),f326(f326(f101(f939(f938(x102091,x102091),a927)),f306(x102091,x102092)),x102093)),x102092)),x102093))
% 198.08/197.85 [10064]~P1(f326(f61(x100641),f326(f261(x100641),x100643)))+~P1(f326(f61(x100641),f326(f261(x100641),x100642)))+P1(f326(f61(x100641),f326(f261(x100641),f326(f326(f20(x100641,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100641),a325),x100642)),x100643))))
% 198.08/197.85 [10356]P1(f326(f326(f234(f939(f938(x103561,x103561),a927)),f326(f326(f288(x103561,x103561,x103561),x103562),f306(x103561,x103562))),x103563))+~P1(f326(f326(f234(f939(f938(x103561,x103561),a927)),x103562),x103563))+~P1(f326(f326(f234(f939(f938(x103561,x103561),a927)),f326(f326(f288(x103561,x103561,x103561),f326(f326(f101(f939(f938(x103561,x103561),a927)),f326(f326(f288(x103561,x103561,x103561),x103562),f306(x103561,x103562))),x103563)),x103562)),x103563))
% 198.08/197.85 [10306]~P122(x103062)+E(x103061,f2(x103062))+~E(f326(f326(f79(x103062),f326(f326(f243(x103062),x103063),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103062),x103061),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x103062))
% 198.08/197.85 [10307]~P122(x103072)+E(x103071,f2(x103072))+~E(f326(f326(f79(x103072),f326(f326(f243(x103072),x103071),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103072),x103073),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x103072))
% 198.08/197.85 [10312]~P1(f326(f137(x103121),x103123))+~P1(f326(f326(f328(x103121),x103122),f326(f172(x103121),x103123)))+E(f326(f168(x103121),f326(f171(x103121),f326(f326(f138(x103121),f326(f189(f932(x103121)),f177(x103121,f326(f326(f10(a927,a927,x103121),a321),f326(f326(f9(x103121,x103121,a927),a323),x103122)),x103123))),x103123))),f177(x103121,f326(f326(f10(a927,a927,x103121),a321),f326(f326(f9(x103121,x103121,a927),a323),x103122)),f326(f168(x103121),x103123)))
% 198.08/197.85 [10404]~P122(x104042)+E(x104041,f2(x104042))+P1(f326(f326(f235(x104042),f2(x104042)),f326(f326(f79(x104042),f326(f326(f243(x104042),x104043),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104042),x104041),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 198.08/197.85 [10405]~P122(x104052)+E(x104051,f2(x104052))+P1(f326(f326(f235(x104052),f2(x104052)),f326(f326(f79(x104052),f326(f326(f243(x104052),x104051),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104052),x104053),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 198.08/197.85 [10460]~P122(x104601)+P1(f326(f326(f234(x104601),f2(x104601)),x104602))+~P1(f326(f326(f234(x104601),f2(x104601)),f326(f326(f243(x104601),x104602),f326(a112,f326(f326(f80(a931),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),x104603)))))
% 198.08/197.85 [5739]~P26(x57391,x57394,x57393)+P26(x57391,x57392,x57393)+~P26(x57391,x57392,x57394)
% 198.08/197.85 [5206]~E(x52062,f89(x52063,x52061))+P1(f326(x52061,x52062))+~P1(f326(x52061,x52064))
% 198.08/197.85 [5449]E(f68(x54493,x54492,x54494),x54492)+E(x54491,f750(x54492,x54493,x54494))+~P1(f326(x54494,x54491))
% 198.08/197.85 [6775]E(f68(x67751,x67752,x67753),f84(x67751,x67753))+~E(f789(x67752,x67751,x67753,x67754),x67754)+~P1(f326(x67753,x67754))
% 198.08/197.85 [6982]~P41(x69822,x69824)+~P41(x69821,x69823)+P41(f938(x69821,x69822),f319(x69821,x69822,x69823,x69824))
% 198.08/197.85 [6983]~P42(x69832,x69834)+~P42(x69831,x69833)+P42(f938(x69831,x69832),f319(x69831,x69832,x69833,x69834))
% 198.08/197.85 [8353]~P45(f29(x83534,x83531),x83532,x83533,x83532)+P45(x83531,x83532,x83533,f397(x83533,x83532,x83531,x83534))+~P1(f326(x83534,x83532))
% 198.08/197.85 [8380]~P45(f29(x83801,x83802),x83804,x83803,x83804)+P45(f29(x83801,x83802),f397(x83803,x83804,x83802,x83801),x83803,x83804)+~P1(f326(x83801,x83804))
% 198.08/197.85 [5389]~P9(x53894,x53891)+~E(f326(x53891,x53892),f326(x53891,x53893))+P1(f326(f326(x53891,x53892),x53893))
% 198.08/197.85 [5553]~P9(x55534,x55531)+E(f326(x55531,x55532),f326(x55531,x55533))+~P1(f326(f326(x55531,x55532),x55533))
% 198.08/197.85 [5554]~P17(x55544,x55541)+E(f326(x55541,x55542),f326(x55541,x55543))+~P1(f326(f326(x55541,x55542),x55543))
% 198.08/197.85 [5646]~P20(x56463,x56464,x56461)+E(f326(x56461,x56462),f326(f63(x56463,x56464),x56462))+~P1(f326(f61(x56463),x56462))
% 198.08/197.85 [5647]~P11(x56473,x56474,x56471)+E(f326(x56471,x56472),f326(f63(x56473,x56474),x56472))+~P1(f326(f61(x56473),x56472))
% 198.08/197.85 [5772]~P9(x57724,x57721)+~P1(f326(f326(x57721,x57723),x57722))+P1(f326(f326(x57721,x57722),x57723))
% 198.08/197.85 [5773]~P55(x57734,x57731)+~P1(f326(f326(x57731,x57733),x57732))+P1(f326(f326(x57731,x57732),x57733))
% 198.08/197.85 [5774]~P17(x57744,x57741)+~P1(f326(f326(x57741,x57743),x57742))+P1(f326(f326(x57741,x57742),x57743))
% 198.08/197.85 [5775]~P17(x57753,x57751)+P1(f326(f326(x57751,x57752),x57752))+~P1(f326(f326(x57751,x57754),x57752))
% 198.08/197.85 [5776]~P17(x57763,x57761)+P1(f326(f326(x57761,x57762),x57762))+~P1(f326(f326(x57761,x57762),x57764))
% 198.08/197.85 [5848]E(x58481,x58482)+~E(f326(f250(x58483,x58484),x58481),f326(f250(x58483,x58484),x58482))+~E(f326(f255(x58483,x58484),x58481),f326(f255(x58483,x58484),x58482))
% 198.08/197.85 [5875]E(x58751,x58752)+~P1(f326(f48(x58753,x58754),x58752))+~P1(f326(f48(x58753,x58754),x58751))
% 198.08/197.85 [6066]~P79(x60662)+E(f231(x60661,x60662,x60663,x60664),f2(x60662))+P1(f326(f61(x60661),x60664))
% 198.08/197.85 [6117]~P9(x61173,x61172)+~P1(f326(x61171,x61174))+P1(f326(x61171,f832(x61171,x61172,x61173)))
% 198.08/197.85 [6214]~P1(f326(f314(x62141,x62142),x62144))+P1(f326(f314(x62141,x62142),x62143))+~P1(f326(f326(x62142,x62143),x62144))
% 198.08/197.85 [7017]~P33(x70171,x70173,x70174)+P1(f326(x70171,x70172))+~P1(f326(f326(f328(a1),x70172),f302(a1,x70173,x70174)))
% 198.08/197.85 [7209]~P9(x72091,x72093)+~P1(f326(x72092,x72094))+P1(f326(f326(f328(x72091),f832(x72092,x72093,x72091)),f269(x72091,x72093)))
% 198.08/197.85 [8115]E(x81151,f2(a931))+~P1(f326(x81152,x81153))+P1(f326(x81152,f783(x81152,x81153,x81151,x81154)))
% 198.08/197.85 [8198]~P111(x81982)+~P1(f326(f137(x81981),x81984))+P1(f326(f137(x81981),f150(x81981,x81982,x81983,x81984)))
% 198.08/197.85 [8242]E(f68(x82421,x82422,x82423),f84(x82421,x82423))+~P1(f326(x82423,x82424))+P1(f326(x82423,f789(x82422,x82421,x82423,x82424)))
% 198.08/197.85 [8427]~P1(f326(f61(x84272),x84274))+~P1(f326(f61(x84271),x84273))+P1(f326(f61(f937(x84271,x84272)),f312(x84271,x84272,x84273,x84274)))
% 198.08/197.85 [8428]~P1(f326(f137(x84282),x84284))+~P1(f326(f137(x84281),x84283))+P1(f326(f137(f938(x84281,x84282)),f59(x84281,x84282,x84283,x84284)))
% 198.08/197.85 [8431]P1(f326(f326(f328(f932(x84311)),f326(f326(f134(x84311),x84312),x84313)),f161(x84311,x84314)))+~P1(f326(f326(f328(f932(x84311)),x84313),f161(x84311,x84314)))+~P1(f326(f326(f328(f932(x84311)),x84312),f161(x84311,x84314)))
% 198.08/197.85 [8708]E(x87081,f2(a931))+P1(f326(x87082,x87083))+~P1(f326(x87082,f784(x87082,x87083,x87081,x87084)))
% 198.08/197.85 [8745]~P111(x87453)+~P1(f326(f137(x87451),f150(x87451,x87453,x87454,x87452)))+P1(f326(f137(x87451),x87452))
% 198.08/197.85 [9028]~P1(f326(f326(f328(f938(x90281,x90281)),f326(f326(f251(x90281,x90281),x90282),x90284)),f306(x90281,x90283)))+P1(f326(f326(f328(x90281),x90282),f315(x90281,x90283)))+~P1(f326(f326(f328(x90281),x90284),f315(x90281,x90283)))
% 198.08/197.85 [5373]~P79(x53732)+E(f326(f326(f8(x53731,x53732),x53733),x53734),f2(x53732))+P1(f326(f61(x53731),x53734))
% 198.08/197.85 [5376]~P75(x53762)+E(f326(f326(f11(x53761,x53762),x53763),x53764),f77(x53762))+P1(f326(f61(x53761),x53764))
% 198.08/197.85 [5517]~P76(x55173)+E(x55171,x55172)+~E(f326(f326(f79(x55173),x55174),x55171),f326(f326(f79(x55173),x55174),x55172))
% 198.08/197.85 [5518]~P77(x55183)+E(x55181,x55182)+~E(f326(f326(f79(x55183),x55184),x55181),f326(f326(f79(x55183),x55184),x55182))
% 198.08/197.85 [5520]~P76(x55203)+E(x55201,x55202)+~E(f326(f326(f79(x55203),x55201),x55204),f326(f326(f79(x55203),x55202),x55204))
% 198.08/197.85 [5614]~P125(x56141)+~E(x56143,f326(f326(f80(x56141),x56142),x56144))+P1(f326(f326(f286(x56141),x56142),x56143))
% 198.08/197.85 [5642]~P7(x56423)+E(x56421,f188(f939(x56422,a927)))+E(f326(f326(f39(x56422,x56423),x56421),f326(f18(x56423,x56422),x56424)),x56424)
% 198.08/197.85 [5643]~P7(x56433)+E(x56431,f188(f939(x56432,a927)))+E(f326(f326(f40(x56432,x56433),x56431),f326(f18(x56433,x56432),x56434)),x56434)
% 198.08/197.85 [5793]~E(x57934,f188(f939(x57931,a927)))+~E(x57934,f326(f326(f308(x57931),x57932),x57933))+P1(f326(f326(f328(x57931),x57932),x57933))
% 198.08/197.85 [5861]~P112(x58613)+E(x58611,x58612)+~E(f302(x58613,x58614,x58611),f326(f326(f308(x58613),x58612),f188(f939(x58613,a927))))
% 198.08/197.85 [5862]~P112(x58623)+E(x58621,x58622)+~E(f302(x58623,x58621,x58622),f326(f326(f308(x58623),x58624),f188(f939(x58623,a927))))
% 198.08/197.85 [5922]~P39(x59223,x59221,x59224)+P39(x59223,x59221,f326(f326(f151(x59223),x59222),x59224))+P1(f326(x59221,x59222))
% 198.08/197.85 [6024]~P35(x60241,x60242,x60244)+~P1(f326(x60242,x60243))+P35(x60241,x60242,f326(f326(f151(x60241),x60243),x60244))
% 198.08/197.85 [6169]P1(f326(x61691,x61692))+~P1(f326(f247(x61693,x61691),x61694))+~P1(f326(f326(f328(x61693),x61692),x61694))
% 198.08/197.85 [6178]~P35(x61781,x61782,x61784)+~P35(x61781,x61782,x61783)+P35(x61781,x61782,f326(f326(f134(x61781),x61783),x61784))
% 198.08/197.85 [6193]P37(x61931,x61932,x61933)+~P37(x61931,x61932,f326(f326(f151(x61931),x61934),x61933))+P1(f326(x61932,x61934))
% 198.08/197.85 [6194]P39(x61941,x61942,x61943)+~P39(x61941,x61942,f326(f326(f151(x61941),x61944),x61943))+P1(f326(x61942,x61944))
% 198.08/197.85 [6269]P37(x62691,x62692,x62693)+P37(x62691,x62692,x62694)+~P37(x62691,x62692,f326(f326(f134(x62691),x62694),x62693))
% 198.08/197.85 [6288]~P79(x62881)+E(f326(f326(f8(a931,x62881),x62882),f326(f301(a931,x62883),f326(a112,x62884))),f2(x62881))+~P1(f326(f326(f235(a931),x62884),x62883))
% 198.08/197.85 [6293]~P66(x62931)+~E(f45(x62931,x62932,x62933),f45(x62931,x62934,x62933))+E(f45(x62931,f326(f78(x62931),x62932),x62933),f45(x62931,f326(f78(x62931),x62934),x62933))
% 198.08/197.85 [6365]P1(f326(x63651,x63652))+~E(f326(f136(x63653,x63651),x63654),x63654)+~P1(f326(f326(f328(x63653),x63652),f326(f172(x63653),x63654)))
% 198.08/197.85 [6384]~E(f326(f326(f79(a931),x63843),x63842),f326(f326(f79(a931),x63841),x63844))+~P1(f326(f326(f235(a931),x63843),x63844))+P1(f326(f326(f235(a931),x63841),x63842))
% 198.08/197.85 [6391]P37(x63911,x63912,x63913)+~P1(f326(x63912,x63914))+~P1(f326(f326(f328(x63911),x63914),f326(f172(x63911),x63913)))
% 198.08/197.85 [6430]~P35(x64303,x64301,x64304)+P1(f326(x64301,x64302))+~P1(f326(f326(f328(x64303),x64302),f326(f172(x64303),x64304)))
% 198.08/197.85 [6432]~E(f326(f136(x64321,x64322),x64323),f113(x64321))+~P1(f326(x64322,x64324))+~P1(f326(f326(f328(x64321),x64324),f326(f172(x64321),x64323)))
% 198.08/197.85 [6433]~E(f177(x64333,x64331,x64334),x64334)+P1(f326(x64331,x64332))+~P1(f326(f326(f328(x64333),x64332),f326(f172(x64333),x64334)))
% 198.08/197.85 [6459]~E(x64594,f188(f939(x64592,a927)))+~E(x64593,f188(f939(x64591,a927)))+E(f312(x64591,x64592,x64593,x64594),f188(f939(f937(x64591,x64592),a927)))
% 198.08/197.85 [6606]P1(f326(x66061,x66062))+~P1(f326(f160(x66063,x66061),x66064))+~P1(f326(f326(f328(x66063),x66062),f326(f172(x66063),x66064)))
% 198.08/197.85 [6744]~P34(x67441,x67443,x67444)+P1(f326(x67441,x67442))+~P1(f326(f326(f328(a931),x67442),f326(f301(a931,x67443),x67444)))
% 198.08/197.85 [6880]~P79(x68801)+E(f326(f326(f8(a931,x68801),x68802),f302(a931,x68803,f326(a112,x68804))),f2(x68801))+~P1(f326(f326(f235(a931),f326(a112,x68804)),x68803))
% 198.08/197.85 [7020]~P111(x70201)+E(f326(f326(f3(f939(x70201,a927)),f326(f301(x70201,x70202),x70203)),f326(f301(x70201,x70202),x70204)),f326(f301(x70201,x70204),x70203))+~P1(f326(f326(f234(x70201),x70202),x70204))
% 198.08/197.85 [7091]~E(x70913,x70914)+E(x70911,f2(a931))+P1(f326(f326(f328(x70912),x70913),f326(f172(x70912),f169(x70912,x70911,x70914))))
% 198.08/197.85 [7373]~P1(f326(f326(f328(f932(x73731)),x73734),f161(x73731,x73733)))+P1(f326(f326(f328(x73731),x73732),x73733))+~P1(f326(f326(f328(x73731),x73732),f326(f172(x73731),x73734)))
% 198.08/197.85 [7380]~P41(x73801,x73802)+P1(f326(f326(f328(x73801),f613(x73802,x73801,x73803)),x73803))+~P1(f326(f326(f328(x73801),x73804),x73803))
% 198.08/197.85 [7437]~P79(x74371)+E(f326(f326(f326(f65(x74371,x74372,f79(x74371)),x74373),f2(x74371)),x74374),f326(f326(f8(x74372,x74371),x74373),x74374))+~P1(f326(f61(x74372),x74374))
% 198.08/197.85 [7439]~P75(x74391)+E(f326(f326(f326(f65(x74391,x74392,f80(x74391)),x74393),f77(x74391)),x74394),f326(f326(f11(x74392,x74391),x74393),x74394))+~P1(f326(f61(x74392),x74394))
% 198.08/197.85 [7468]P27(x74681,x74682,x74683,x74684)+~E(f326(f35(x74682),f326(f309(x74681,x74682,x74683),x74684)),f326(f35(x74681),x74684))+~P1(f326(f61(x74681),x74684))
% 198.08/197.85 [7665]~P79(x76651)+E(f326(f326(f79(x76651),f326(x76652,x76653)),f326(f326(f8(a931,x76651),x76652),f304(a931,x76653,x76654))),f326(f326(f8(a931,x76651),x76652),f302(a931,x76653,x76654)))+~P1(f326(f326(f234(a931),x76653),x76654))
% 198.08/197.85 [7675]~P79(x76751)+~P27(x76752,x76751,x76753,x76754)+E(f326(f326(f8(x76751,x76751),f31(x76751)),f326(f309(x76752,x76751,x76753),x76754)),f326(f326(f8(x76752,x76751),x76753),x76754))
% 198.08/197.85 [7676]~P75(x76761)+~P27(x76762,x76761,x76763,x76764)+E(f326(f326(f11(x76761,x76761),f31(x76761)),f326(f309(x76762,x76761,x76763),x76764)),f326(f326(f11(x76762,x76761),x76763),x76764))
% 198.08/197.85 [7731]E(f326(f35(f937(x77311,x77312)),f312(x77311,x77312,x77313,x77314)),f326(f326(f79(a931),f326(f35(x77311),x77313)),f326(f35(x77312),x77314)))+~P1(f326(f61(x77312),x77314))+~P1(f326(f61(x77311),x77313))
% 198.08/197.85 [7813]E(x78131,x78132)+P1(f326(f326(f328(x78133),x78131),f326(f172(x78133),f170(x78133,x78132,x78134))))+~P1(f326(f326(f328(x78133),x78131),f326(f172(x78133),x78134)))
% 198.08/197.85 [8040]~P79(x80401)+E(f326(f326(f79(x80401),f326(f326(f8(a931,x80401),x80402),f326(f301(a931,x80403),x80404))),f326(x80402,x80404)),f326(f326(f8(a931,x80401),x80402),f326(f301(a931,x80403),f326(a112,x80404))))+P1(f326(f326(f235(a931),x80404),x80403))
% 198.08/197.85 [8095]~P27(x80951,x80952,x80953,f241(f939(x80951,a927)))+~P1(f326(f61(x80952),x80954))+P1(f326(f61(x80951),f326(f310(x80951,x80952,x80953),x80954)))
% 198.08/197.85 [8213]P1(f326(f326(f328(f932(x82131)),f326(f326(f151(x82131),x82132),x82133)),f161(x82131,x82134)))+~P1(f326(f326(f328(f932(x82131)),x82133),f161(x82131,x82134)))+~P1(f326(f326(f328(x82131),x82132),x82134))
% 198.08/197.85 [8302]~E(f326(f309(x83023,x83021,x83024),f241(f939(x83023,a927))),f241(f939(x83021,a927)))+P1(f326(f61(x83021),x83022))+~P1(f326(f61(x83023),f326(f310(x83023,x83021,x83024),x83022)))
% 198.08/197.85 [8399]~P27(x83991,x83993,x83994,x83992)+P1(f326(f61(x83991),x83992))+~P1(f326(f61(x83993),f326(f309(x83991,x83993,x83994),x83992)))
% 198.08/197.85 [8421]~E(x84212,x84213)+P1(f326(f326(f328(f938(x84211,x84211)),f326(f326(f251(x84211,x84211),x84212),x84213)),f262(x84211,x84214)))+~P1(f326(f326(f328(x84211),x84212),x84214))
% 198.08/197.85 [8454]~P79(x84541)+E(f326(f326(f79(x84541),f326(f326(f8(a931,x84541),x84542),f302(a931,x84543,x84544))),f326(x84542,f326(a112,x84544))),f326(f326(f8(a931,x84541),x84542),f302(a931,x84543,f326(a112,x84544))))+P1(f326(f326(f235(a931),f326(a112,x84544)),x84543))
% 198.08/197.85 [8514]P1(f326(x85141,x85142))+~P1(f326(x85141,f326(f326(f164(x85143),x85144),f675(x85141,x85144,x85143))))+~P1(f326(f326(f328(x85143),x85142),f326(f172(x85143),x85144)))
% 198.08/197.85 [8654]~P1(f326(f326(f328(x86541),x86542),f315(x86541,x86544)))+P1(f326(f326(f328(f932(x86541)),f326(f326(f151(x86541),x86542),x86543)),f315(f932(x86541),f157(x86541,x86544))))+~P1(f326(f326(f328(f932(x86541)),x86543),f315(f932(x86541),f157(x86541,x86544))))
% 198.08/197.85 [8669]~P27(x86692,x86693,x86694,f550(x86694,x86693,x86692,x86691))+P27(x86692,x86693,x86694,f38(f939(x86692,a927),x86691))+E(x86691,f188(f939(f939(x86692,a927),a927)))
% 198.08/197.85 [8937]E(x89371,x89372)+~P1(f326(f326(f328(f938(x89373,x89373)),f326(f326(f251(x89373,x89373),x89371),x89372)),f306(x89373,x89374)))+P1(f326(f326(f328(x89373),x89371),f326(f263(x89373,x89373),x89374)))
% 198.08/197.85 [9217]E(x92171,f2(a931))+P1(f326(x92172,x92173))+P1(f326(f326(f328(x92174),f784(x92172,x92173,x92171,x92174)),f326(f172(x92174),f169(x92174,x92171,x92173))))
% 198.08/197.85 [9229]E(x92291,f2(a931))+~P1(f326(x92293,x92294))+P1(f326(f326(f328(x92292),f783(x92293,x92294,x92291,x92292)),f326(f172(x92292),f169(x92292,x92291,x92294))))
% 198.08/197.85 [9231]~P28(x92311,x92312,x92313,f241(f939(x92311,a927)),f241(f939(x92312,a927)))+~P1(f326(f61(x92312),x92314))+P1(f326(f61(x92311),f326(f310(x92311,x92312,x92313),x92314)))
% 198.08/197.85 [9234]P27(x92342,x92343,x92344,f38(f939(x92342,a927),x92341))+E(x92341,f188(f939(f939(x92342,a927),a927)))+P1(f326(f326(f328(f939(x92342,a927)),f550(x92344,x92343,x92342,x92341)),x92341))
% 198.08/197.85 [9349]~P28(x93493,x93491,x93494,f241(f939(x93493,a927)),f241(f939(x93491,a927)))+P1(f326(f61(x93491),x93492))+~P1(f326(f61(x93493),f326(f310(x93493,x93491,x93494),x93492)))
% 198.08/197.85 [9366]P1(f326(f61(x93661),x93662))+~P1(f326(f61(x93664),f326(f309(x93661,x93664,x93663),x93662)))+P1(f326(f326(f328(x93661),f589(x93663,x93664,x93662,x93661)),x93662))
% 198.08/197.85 [9469]~P7(x94692)+E(f326(f326(f64(x94691,x94692,f326(f326(f10(x94692,f939(x94692,x94692),x94691),f101(x94692)),x94693)),f241(x94692)),x94694),f326(f326(f39(x94691,x94692),x94694),x94693))+~P1(f326(f61(x94691),x94694))
% 198.08/197.85 [9470]~P7(x94702)+E(f326(f326(f64(x94701,x94702,f326(f326(f10(x94702,f939(x94702,x94702),x94701),f110(x94702)),x94703)),f188(x94702)),x94704),f326(f326(f40(x94701,x94702),x94704),x94703))+~P1(f326(f61(x94701),x94704))
% 198.08/197.85 [9552]P1(f326(x95521,x95522))+~P1(f326(x95521,f326(f326(f164(x95523),x95524),f709(x95522,x95521,x95524,x95523))))+~P1(f326(f326(f328(x95523),x95522),f326(f172(x95523),x95524)))
% 198.08/197.85 [9573]E(x95731,x95732)+~P1(f326(f326(f328(f938(x95733,x95733)),f326(f326(f251(x95733,x95733),x95731),x95732)),f306(x95733,x95734)))+P1(f326(f326(f328(f938(x95733,x95733)),f326(f326(f251(x95733,x95733),x95731),x95732)),f326(f326(f288(x95733,x95733,x95733),x95734),f306(x95733,x95734))))
% 198.08/197.85 [9623]~E(f326(f189(f932(x96231)),x96232),f326(f189(f932(x96231)),x96233))+~P1(f326(f326(f328(f938(f932(x96231),f932(x96231))),f326(f326(f251(f932(x96231),f932(x96231)),x96232),x96233)),f147(x96231,x96234)))+P1(f326(f326(f328(f938(f932(x96231),f932(x96231))),f326(f326(f251(f932(x96231),f932(x96231)),x96232),x96233)),f145(x96231,x96234)))
% 198.08/197.85 [9862]P35(x98621,f326(f326(f20(x98621,a927,a927),f326(f326(f10(a927,f939(a927,a927),x98621),a325),f326(f326(f10(a927,a927,x98621),a321),x98622))),f326(a323,x98623)),x98624)+~P1(f326(x98622,x98623))+~P39(x98621,x98622,f326(f326(f151(x98621),x98623),x98624))
% 198.08/197.85 [10028]~P35(x100281,f326(f326(f20(x100281,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100281),a325),f326(f326(f10(a927,a927,x100281),a321),x100282))),f326(a323,x100283)),x100284)+~P1(f326(x100282,x100283))+P39(x100281,x100282,f326(f326(f151(x100281),x100283),x100284))
% 198.08/197.85 [10032]~P39(x100321,x100322,x100324)+~P35(x100321,f326(f326(f20(x100321,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100321),a325),f326(f326(f10(a927,a927,x100321),a321),x100322))),f326(a323,x100323)),x100324)+P39(x100321,x100322,f326(f326(f151(x100321),x100323),x100324))
% 198.08/197.85 [10065]~P72(x100651)+E(f326(f326(f8(a931,x100651),f326(f326(f20(a931,x100651,x100651),f326(f326(f10(x100651,f939(x100651,x100651),a931),f3(x100651)),x100652)),f326(f326(f10(a931,x100651,a931),x100652),f326(f326(f9(a931,a931,a931),f79(a931)),f77(a931))))),f302(a931,x100653,x100654)),f2(x100651))+P1(f326(f326(f234(a931),x100653),x100654))
% 198.08/197.85 [10305]~P41(x103052,x103054)+~P27(x103052,x103051,x103053,f241(f939(x103052,a927)))+P41(x103051,f326(f309(f938(x103052,x103052),f938(x103051,x103051),f257(x103052,x103051,x103052,x103051,x103053,x103053)),x103054))
% 198.08/197.85 [10498]~E(f326(f189(f932(x104981)),x104983),f326(f189(f932(x104981)),x104982))+P1(f326(f326(f328(f938(f932(x104981),f932(x104981))),f326(f326(f251(f932(x104981),f932(x104981)),x104982),x104983)),f158(x104981,x104984)))+~P1(f326(f326(f256(x104981,x104981,a927),f326(f326(f9(x104981,f939(f938(x104981,x104981),a927),f939(x104981,a927)),f326(f326(f10(f939(x104981,f939(f939(f938(x104981,x104981),a927),a927)),f939(f939(f938(x104981,x104981),a927),f939(x104981,a927)),x104981),f9(x104981,f939(f938(x104981,x104981),a927),a927)),f326(f326(f10(f939(x104981,f938(x104981,x104981)),f939(x104981,f939(f939(f938(x104981,x104981),a927),a927)),x104981),f326(f10(f938(x104981,x104981),f939(f939(f938(x104981,x104981),a927),a927),x104981),f328(f938(x104981,x104981)))),f251(x104981,x104981)))),x104984)),f677(x104984,x104983,x104982,x104981)))
% 198.08/197.85 [6346]~P65(x63461)+~E(x63462,f2(x63461))+E(f326(f326(f36(x63461),f326(f326(f80(x63461),x63462),x63463)),f326(f326(f80(x63461),x63462),x63464)),f2(x63461))
% 198.08/197.85 [6388]E(x63881,f113(x63882))+E(x63883,f326(f326(f3(a931),f326(f189(f932(x63882)),x63881)),f77(a931)))+E(f144(x63882,f326(f326(f159(x63882,x63881),x63883),x63884)),f144(x63882,x63881))
% 198.08/197.85 [6421]E(x64211,x64212)+P1(f326(x64213,x64212))+~P1(f326(f326(f326(f308(x64214),x64211),x64213),x64212))
% 198.08/197.85 [6437]~P79(x64371)+~P1(f326(f137(x64372),x64374))+E(f326(f165(x64371),f326(f326(f154(x64372,x64371),x64373),x64374)),f326(f326(f8(x64372,x64371),x64373),f326(f172(x64372),x64374)))
% 198.08/197.85 [6452]~P75(x64522)+~P1(f326(f61(x64521),x64524))+E(f326(f326(f11(x64521,x64522),f326(f18(x64522,x64521),x64523)),x64524),f326(f326(f243(x64522),x64523),f326(f35(x64521),x64524)))
% 198.08/197.85 [6505]~P68(x65052)+E(x65051,f2(x65052))+E(f326(f326(f290(x65052),f326(f326(f80(x65052),x65053),x65051)),f326(f326(f80(x65052),x65054),x65051)),f326(f326(f290(x65052),x65053),x65054))
% 198.08/197.85 [6506]~P68(x65062)+E(x65061,f2(x65062))+E(f326(f326(f290(x65062),f326(f326(f80(x65062),x65061),x65063)),f326(f326(f80(x65062),x65061),x65064)),f326(f326(f290(x65062),x65063),x65064))
% 198.08/197.85 [6507]~P65(x65072)+E(x65071,f2(x65072))+E(f326(f326(f36(x65072),f326(f326(f80(x65072),x65073),x65071)),f326(f326(f80(x65072),x65074),x65071)),f326(f326(f36(x65072),x65073),x65074))
% 198.08/197.85 [6509]~P65(x65092)+E(x65091,f2(x65092))+E(f326(f326(f36(x65092),f326(f326(f80(x65092),x65091),x65093)),f326(f326(f80(x65092),x65091),x65094)),f326(f326(f36(x65092),x65093),x65094))
% 198.08/197.85 [6574]P1(f326(x65741,x65742))+~E(x65743,f326(f326(f79(a931),x65744),x65742))+~P1(f326(x65741,f326(f326(f3(a931),x65743),x65744)))
% 198.08/197.85 [6657]P31(x66571,x66572,x66573)+P30(x66571,f633(x66573,x66572,x66571),x66574)+~P1(f326(f326(f328(f930(x66571)),x66574),x66572))
% 198.08/197.85 [6660]~P1(f326(x66602,x66603))+~P1(f326(f160(x66601,x66602),x66604))+P1(f326(f160(x66601,x66602),f326(f326(f151(x66601),x66603),x66604)))
% 198.08/197.85 [6701]E(x67011,f113(x67012))+~E(x67013,f326(f326(f3(a931),f326(f189(f932(x67012)),x67011)),f77(a931)))+E(f144(x67012,f326(f326(f159(x67012,x67011),x67013),x67014)),x67014)
% 198.08/197.85 [6724]~P104(x67241)+~P1(f326(f326(f234(x67241),x67242),x67244))+P1(f326(f326(f234(x67241),x67242),f326(f326(f110(x67241),x67243),x67244)))
% 198.08/197.85 [6725]~P104(x67251)+~P1(f326(f326(f234(x67251),x67252),x67253))+P1(f326(f326(f234(x67251),x67252),f326(f326(f110(x67251),x67253),x67254)))
% 198.08/197.85 [6727]~P111(x67271)+~P1(f326(f326(f234(x67271),x67272),x67274))+P1(f326(f326(f234(x67271),x67272),f326(f326(f233(x67271),x67273),x67274)))
% 198.08/197.85 [6729]~P111(x67291)+~P1(f326(f326(f234(x67291),x67292),x67293))+P1(f326(f326(f234(x67291),x67292),f326(f326(f233(x67291),x67293),x67294)))
% 198.08/197.85 [6730]~P104(x67301)+~P1(f326(f326(f235(x67301),x67302),x67304))+P1(f326(f326(f235(x67301),x67302),f326(f326(f110(x67301),x67303),x67304)))
% 198.08/197.85 [6731]~P104(x67311)+~P1(f326(f326(f235(x67311),x67312),x67313))+P1(f326(f326(f235(x67311),x67312),f326(f326(f110(x67311),x67313),x67314)))
% 198.08/197.85 [6733]~P111(x67331)+~P1(f326(f326(f235(x67331),x67332),x67334))+P1(f326(f326(f235(x67331),x67332),f326(f326(f233(x67331),x67333),x67334)))
% 198.08/197.85 [6735]~P111(x67351)+~P1(f326(f326(f235(x67351),x67352),x67353))+P1(f326(f326(f235(x67351),x67352),f326(f326(f233(x67351),x67353),x67354)))
% 198.08/197.85 [6736]~P115(x67361)+~P1(f326(f326(f286(x67361),x67362),x67364))+P1(f326(f326(f286(x67361),x67362),f326(f326(f80(x67361),x67363),x67364)))
% 198.08/197.85 [6737]~P115(x67371)+~P1(f326(f326(f286(x67371),x67372),x67373))+P1(f326(f326(f286(x67371),x67372),f326(f326(f80(x67371),x67373),x67374)))
% 198.08/197.85 [6825]~E(f326(f326(f164(x68251),x68252),x68253),x68254)+E(f326(f326(f159(x68251,x68252),x68253),x68254),x68252)+~P1(f326(f326(f235(a931),x68253),f326(f189(f932(x68251)),x68252)))
% 198.08/197.85 [6864]P1(f326(x68641,x68642))+~P1(f326(x68643,x68642))+~P1(f326(f326(f234(f939(x68644,a927)),x68643),x68641))
% 198.08/197.85 [6897]~E(f326(f326(f159(x68971,x68972),x68973),x68974),x68972)+E(f326(f326(f164(x68971),x68972),x68973),x68974)+~P1(f326(f326(f235(a931),x68973),f326(f189(f932(x68971)),x68972)))
% 198.08/197.85 [6911]~P1(f326(f160(x69111,x69112),x69114))+~P1(f326(f160(x69111,x69112),x69113))+P1(f326(f160(x69111,x69112),f326(f326(f134(x69111),x69113),x69114)))
% 198.08/197.85 [7009]P30(x70091,x70092,x70093)+~P30(x70091,f326(a112,x70092),f925(x70092,x70094,x70091))+~P1(f326(f326(f328(f930(x70091)),x70093),x70094))
% 198.08/197.85 [7016]E(x70161,f188(f939(x70162,a927)))+E(x70163,f188(f939(x70164,a927)))+~E(f326(f326(f253(x70164,x70162),x70163),f326(f18(f939(x70162,a927),x70164),x70161)),f188(f939(f938(x70164,x70162),a927)))
% 198.08/197.85 [7036]E(x70361,x70362)+P1(f326(f326(f328(x70363),x70361),x70364))+~P1(f326(f326(f328(x70363),x70361),f326(f326(f308(x70363),x70362),x70364)))
% 198.08/197.85 [7053]~P111(x70531)+P1(f326(f326(f234(x70531),x70532),x70533))+~P1(f326(f326(f234(x70531),x70532),f326(f326(f232(x70531),x70534),x70533)))
% 198.08/197.85 [7055]~P111(x70551)+P1(f326(f326(f234(x70551),x70552),x70553))+~P1(f326(f326(f234(x70551),x70552),f326(f326(f232(x70551),x70553),x70554)))
% 198.08/197.85 [7057]~P105(x70571)+P1(f326(f326(f234(x70571),x70572),x70573))+~P1(f326(f326(f234(x70571),x70572),f326(f326(f101(x70571),x70574),x70573)))
% 198.08/197.85 [7059]~P105(x70591)+P1(f326(f326(f234(x70591),x70592),x70593))+~P1(f326(f326(f234(x70591),x70592),f326(f326(f101(x70591),x70593),x70594)))
% 198.08/197.85 [7060]~P111(x70601)+P1(f326(f326(f235(x70601),x70602),x70603))+~P1(f326(f326(f235(x70601),x70602),f326(f326(f232(x70601),x70604),x70603)))
% 198.08/197.85 [7061]~P111(x70611)+P1(f326(f326(f235(x70611),x70612),x70613))+~P1(f326(f326(f235(x70611),x70612),f326(f326(f232(x70611),x70613),x70614)))
% 198.08/197.85 [7082]~E(f326(f326(f164(x70821),x70823),x70824),x70822)+P1(f326(f326(f328(x70821),x70822),f326(f172(x70821),x70823)))+~P1(f326(f326(f235(a931),x70824),f326(f189(f932(x70821)),x70823)))
% 198.08/197.85 [7092]~P111(x70921)+~P15(x70921,f326(f326(f151(x70921),x70922),f326(f326(f151(x70921),x70923),x70924)))+P1(f326(f326(f234(x70921),x70922),x70923))
% 198.08/197.85 [7237]~P35(x72372,x72371,x72373)+P1(f326(x72371,f326(f326(f164(x72372),x72373),x72374)))+~P1(f326(f326(f235(a931),x72374),f326(f189(f932(x72372)),x72373)))
% 198.08/197.85 [7255]E(x72551,f2(a1))+E(f326(f326(f36(a1),x72552),x72551),x72553)+~P1(f326(f49(x72552,x72551),f326(f326(f251(a1,a1),x72553),x72554)))
% 198.08/197.85 [7276]E(f45(a1,x72762,x72761),x72763)+E(x72761,f2(a1))+~P1(f326(f49(x72762,x72761),f326(f326(f251(a1,a1),x72764),x72763)))
% 198.08/197.85 [7397]P1(f326(f326(f328(x73971),x73972),x73973))+~P1(f326(f326(f328(x73971),x73972),x73974))+~P1(f326(f326(f235(f939(x73971,a927)),x73974),x73973))
% 198.08/197.85 [7398]P1(f326(f326(f328(x73981),x73982),x73983))+~P1(f326(f326(f328(x73981),x73982),x73984))+~P1(f326(f326(f234(f939(x73981,a927)),x73984),x73983))
% 198.08/197.85 [7409]~P124(x74091)+~E(x74093,f2(x74091))+P1(f326(f326(f286(x74091),f326(f326(f80(x74091),x74092),x74093)),f326(f326(f80(x74091),x74094),x74093)))
% 198.08/197.85 [7410]~P124(x74101)+~E(x74102,f2(x74101))+P1(f326(f326(f286(x74101),f326(f326(f80(x74101),x74102),x74103)),f326(f326(f80(x74101),x74102),x74104)))
% 198.08/197.85 [7512]P37(x75121,x75122,x75123)+~P1(f326(x75122,f326(f326(f164(x75121),x75123),x75124)))+~P1(f326(f326(f235(a931),x75124),f326(f189(f932(x75121)),x75123)))
% 198.08/197.85 [7632]~P110(x76322)+~P1(f326(f326(f235(f939(x76321,x76322)),x76323),x76324))+P1(f326(f326(f234(f939(x76321,x76322)),x76323),x76324))
% 198.08/197.85 [7720]~P26(x77201,x77202,x77204)+P26(x77201,x77202,f326(f326(f308(f930(x77201)),x77203),x77204))+~P26(x77201,x77202,f326(f326(f308(f930(x77201)),x77203),f188(f939(f930(x77201),a927))))
% 198.08/197.85 [7762]~P1(f326(f326(f328(x77621),x77622),x77624))+P1(f326(f326(f328(x77621),x77622),f37(f939(x77621,a927),x77623)))+~P1(f326(f326(f328(f939(x77621,a927)),x77624),x77623))
% 198.08/197.85 [7772]P30(x77721,x77722,x77723)+P1(f326(f326(f328(f930(x77721)),f925(x77722,x77724,x77721)),x77724))+~P1(f326(f326(f328(f930(x77721)),x77723),x77724))
% 198.08/197.85 [7791]~P87(x77911)+~P1(f326(f326(f234(x77911),x77913),x77914))+P1(f326(f326(f234(x77911),f326(f326(f79(x77911),x77912),x77913)),f326(f326(f79(x77911),x77912),x77914)))
% 198.08/197.85 [7792]~P88(x77921)+~P1(f326(f326(f234(x77921),x77923),x77924))+P1(f326(f326(f234(x77921),f326(f326(f79(x77921),x77922),x77923)),f326(f326(f79(x77921),x77922),x77924)))
% 198.08/197.85 [7793]~P87(x77931)+~P1(f326(f326(f234(x77931),x77932),x77934))+P1(f326(f326(f234(x77931),f326(f326(f79(x77931),x77932),x77933)),f326(f326(f79(x77931),x77934),x77933)))
% 198.08/197.85 [7794]~P88(x77941)+~P1(f326(f326(f234(x77941),x77942),x77944))+P1(f326(f326(f234(x77941),f326(f326(f79(x77941),x77942),x77943)),f326(f326(f79(x77941),x77944),x77943)))
% 198.08/197.85 [7795]~P87(x77951)+~P1(f326(f326(f235(x77951),x77953),x77954))+P1(f326(f326(f235(x77951),f326(f326(f79(x77951),x77952),x77953)),f326(f326(f79(x77951),x77952),x77954)))
% 198.08/197.85 [7796]~P90(x77961)+~P1(f326(f326(f235(x77961),x77963),x77964))+P1(f326(f326(f235(x77961),f326(f326(f79(x77961),x77962),x77963)),f326(f326(f79(x77961),x77962),x77964)))
% 198.08/197.85 [7797]~P87(x77971)+~P1(f326(f326(f235(x77971),x77972),x77974))+P1(f326(f326(f235(x77971),f326(f326(f79(x77971),x77972),x77973)),f326(f326(f79(x77971),x77974),x77973)))
% 198.08/197.85 [7798]~P90(x77981)+~P1(f326(f326(f235(x77981),x77982),x77984))+P1(f326(f326(f235(x77981),f326(f326(f79(x77981),x77982),x77983)),f326(f326(f79(x77981),x77984),x77983)))
% 198.08/197.85 [7799]~P124(x77991)+~P1(f326(f326(f286(x77991),x77993),x77994))+P1(f326(f326(f286(x77991),f326(f326(f80(x77991),x77992),x77993)),f326(f326(f80(x77991),x77992),x77994)))
% 198.08/197.85 [7800]~P124(x78001)+~P1(f326(f326(f286(x78001),x78002),x78004))+P1(f326(f326(f286(x78001),f326(f326(f80(x78001),x78002),x78003)),f326(f326(f80(x78001),x78004),x78003)))
% 198.08/197.85 [7807]~P113(x78071)+~P97(x78071)+E(f326(f326(f3(x78071),f326(f326(f80(x78071),x78072),f326(f103(x78071),x78073))),f326(f326(f80(x78071),x78074),f326(f103(x78071),x78073))),f326(f326(f80(x78071),f326(f326(f3(x78071),x78072),x78074)),f326(f103(x78071),x78073)))
% 198.08/197.85 [7808]~P143(x78081)+~P97(x78081)+E(f326(f326(f79(x78081),f326(f326(f80(x78081),x78082),f326(f103(x78081),x78083))),f326(f326(f80(x78081),x78084),f326(f103(x78081),x78083))),f326(f326(f80(x78081),f326(f326(f79(x78081),x78082),x78084)),f326(f103(x78081),x78083)))
% 198.08/197.85 [7844]~P79(x78441)+E(f326(f326(f79(x78441),f326(x78442,x78443)),f326(f326(f8(a931,x78441),x78442),f302(a931,f326(a112,x78443),x78444))),f326(f326(f8(a931,x78441),x78442),f302(a931,x78443,x78444)))+~P1(f326(f326(f234(a931),x78443),x78444))
% 198.08/197.85 [7856]~P27(x78562,x78561,x78563,f326(f172(x78562),x78564))+~P1(f326(f137(x78562),x78564))+P1(f326(f137(x78561),f326(f326(f154(x78562,x78561),x78563),x78564)))
% 198.08/197.85 [7905]~P1(f326(f326(f234(a931),x79052),x79054))+~P1(f326(f326(f234(a931),x79051),x79053))+P1(f326(f326(f234(a931),f326(f326(f80(a931),x79051),x79052)),f326(f326(f80(a931),x79053),x79054)))
% 198.08/197.85 [7906]~P1(f326(f326(f234(a931),x79062),x79064))+~P1(f326(f326(f234(a931),x79061),x79063))+P1(f326(f326(f234(a931),f326(f326(f79(a931),x79061),x79062)),f326(f326(f79(a931),x79063),x79064)))
% 198.08/197.85 [7909]~P1(f326(f326(f235(a931),x79092),x79094))+~P1(f326(f326(f235(a931),x79091),x79093))+P1(f326(f326(f235(a931),f326(f326(f79(a931),x79091),x79092)),f326(f326(f79(a931),x79093),x79094)))
% 198.08/197.85 [7910]~P1(f326(f326(f234(a1),x79102),x79104))+~P1(f326(f326(f235(a1),x79101),x79103))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x79101),x79102)),f326(f326(f79(a1),x79103),x79104)))
% 198.08/197.85 [7957]P1(f326(f326(f328(x79571),x79572),x79573))+~P1(f326(f326(f328(x79571),x79572),f38(f939(x79571,a927),x79574)))+~P1(f326(f326(f328(f939(x79571,a927)),x79573),x79574))
% 198.08/197.85 [7973]~P1(f326(x79731,f673(x79731,x79733,x79732)))+P1(f326(x79731,f326(f326(f164(x79732),x79733),x79734)))+~P1(f326(f326(f235(a931),x79734),f326(f189(f932(x79732)),x79733)))
% 198.08/197.85 [7978]P1(f326(x79781,x79782))+~P1(f326(f326(f328(x79784),x79782),f326(f172(x79784),x79783)))+P1(f326(f326(f235(a931),f675(x79781,x79783,x79784)),f326(f189(f932(x79784)),x79783)))
% 198.08/197.85 [8025]~P110(x80251)+~P1(f326(f326(f235(f939(x80252,x80251)),x80254),x80253))+~P1(f326(f326(f234(f939(x80252,x80251)),x80253),x80254))
% 198.08/197.85 [8068]~P1(f326(x80684,x80682))+~P1(f326(f326(f328(x80681),x80682),x80683))+P1(f326(f326(f328(x80681),x80682),f326(f326(f101(f939(x80681,a927)),x80683),f326(f261(x80681),x80684))))
% 198.08/197.85 [8220]~P1(f326(f326(f328(x82201),x82203),x82204))+~P1(f326(f326(f235(f939(x82201,a927)),x82202),x82204))+P1(f326(f326(f235(f939(x82201,a927)),x82202),f326(f326(f308(x82201),x82203),x82204)))
% 198.08/197.85 [8222]E(f326(f326(f101(f939(x82221,a927)),x82222),x82223),f188(f939(x82221,a927)))+~E(f326(f326(f101(f939(x82221,a927)),f37(f939(x82221,a927),x82224)),x82223),f188(f939(x82221,a927)))+~P1(f326(f326(f328(f939(x82221,a927)),x82222),x82224))
% 198.08/197.85 [8298]P1(f326(f326(f328(x82981),x82982),x82983))+~P1(f326(f326(f234(f939(x82981,a927)),x82983),f326(f326(f308(x82981),x82982),x82984)))+P1(f326(f326(f234(f939(x82981,a927)),x82983),x82984))
% 198.08/197.85 [8315]P1(f326(f326(f328(x83152),f673(x83151,x83153,x83152)),f326(f172(x83152),x83153)))+P1(f326(x83151,f326(f326(f164(x83152),x83153),x83154)))+~P1(f326(f326(f235(a931),x83154),f326(f189(f932(x83152)),x83153)))
% 198.08/197.85 [8323]~P1(f326(f326(f234(f939(x83231,a927)),x83232),x83234))+P1(f326(f326(f234(f939(x83231,a927)),x83232),x83233))+~P1(f326(f326(f234(f939(x83231,a927)),x83234),x83233))
% 198.08/197.85 [8324]~P1(f326(f326(f235(f939(x83241,a927)),x83242),x83244))+~P1(f326(f326(f234(f939(x83241,a927)),x83244),x83243))+P1(f326(f326(f235(f939(x83241,a927)),x83242),x83243))
% 198.08/197.85 [8325]~P1(f326(f326(f234(f939(x83251,a927)),x83252),x83254))+~P1(f326(f326(f235(f939(x83251,a927)),x83254),x83253))+P1(f326(f326(f235(f939(x83251,a927)),x83252),x83253))
% 198.08/197.85 [8326]~P1(f326(f326(f235(f939(x83261,a927)),x83262),x83264))+P1(f326(f326(f235(f939(x83261,a927)),x83262),x83263))+~P1(f326(f326(f235(f939(x83261,a927)),x83264),x83263))
% 198.08/197.85 [8370]~P1(f326(f326(f328(x83701),x83704),x83703))+~P1(f326(f326(f235(f939(x83701,a927)),x83702),f326(f326(f308(x83701),x83704),x83703)))+P1(f326(f326(f235(f939(x83701,a927)),x83702),x83703))
% 198.08/197.85 [8382]~P87(x83821)+P1(f326(f326(f234(x83821),x83822),x83823))+~P1(f326(f326(f234(x83821),f326(f326(f79(x83821),x83824),x83822)),f326(f326(f79(x83821),x83824),x83823)))
% 198.08/197.85 [8384]~P87(x83841)+P1(f326(f326(f234(x83841),x83842),x83843))+~P1(f326(f326(f234(x83841),f326(f326(f79(x83841),x83842),x83844)),f326(f326(f79(x83841),x83843),x83844)))
% 198.08/197.85 [8386]~P87(x83861)+P1(f326(f326(f235(x83861),x83862),x83863))+~P1(f326(f326(f235(x83861),f326(f326(f79(x83861),x83864),x83862)),f326(f326(f79(x83861),x83864),x83863)))
% 198.08/197.85 [8388]~P87(x83881)+P1(f326(f326(f235(x83881),x83882),x83883))+~P1(f326(f326(f235(x83881),f326(f326(f79(x83881),x83882),x83884)),f326(f326(f79(x83881),x83883),x83884)))
% 198.08/197.85 [8438]P1(f326(x84381,x84382))+~E(f326(f326(f138(x84383),f326(f189(f932(x84383)),f177(x84383,x84381,x84384))),x84384),f113(x84383))+~P1(f326(f326(f328(x84383),x84382),f326(f172(x84383),x84384)))
% 198.08/197.85 [8556]P1(f326(x85561,x85562))+~P1(f326(f326(f328(x85563),x85562),f326(f172(x85563),x85564)))+P1(f326(f326(f235(a931),f326(f189(f932(x85563)),f326(f136(x85563,x85561),x85564))),f326(f189(f932(x85563)),x85564)))
% 198.08/197.85 [9044]~P1(f326(x90441,f765(x90441,x90443,x90442,x90444)))+P1(f326(x90441,f326(f326(f164(x90442),x90443),x90444)))+~P1(f326(f326(f235(a931),x90444),f326(f189(f932(x90442)),x90443)))
% 198.08/197.85 [9068]~P27(x90684,x90683,x90681,f241(f939(x90684,a927)))+E(f326(x90681,f522(x90682,x90681,x90683,x90684)),x90682)+~P1(f326(f326(f328(x90683),x90682),f326(f309(x90684,x90683,x90681),f241(f939(x90684,a927)))))
% 198.08/197.85 [9137]E(f177(x91371,x91372,x91373),f326(f326(f175(x91371),x91374),x91373))+P1(f326(f326(f235(a931),f735(x91372,x91373,x91371,x91374)),x91374))+P1(f326(f326(f235(a931),x91374),f326(f189(f932(x91371)),x91373)))
% 198.08/197.85 [9140]E(f177(x91401,x91402,x91403),f326(f326(f175(x91401),x91404),x91403))+P1(f326(f326(f235(a931),f735(x91402,x91403,x91401,x91404)),x91404))+P1(f326(x91402,f326(f326(f164(x91401),x91403),x91404)))
% 198.08/197.85 [9175]P1(f326(x91751,x91752))+~P1(f326(f326(f328(x91754),x91752),f326(f172(x91754),x91753)))+P1(f326(f326(f235(a931),f709(x91752,x91751,x91753,x91754)),f326(f189(f932(x91754)),x91753)))
% 198.08/197.85 [9178]E(f177(x91781,x91782,x91783),f326(f326(f175(x91781),x91784),x91783))+P1(f326(f326(f235(a931),x91784),f326(f189(f932(x91781)),x91783)))+P1(f326(f326(f235(a931),f735(x91782,x91783,x91781,x91784)),f326(f189(f932(x91781)),x91783)))
% 198.08/197.85 [9185]E(f177(x91851,x91852,x91853),f326(f326(f175(x91851),x91854),x91853))+P1(f326(x91852,f326(f326(f164(x91851),x91853),x91854)))+P1(f326(f326(f235(a931),f735(x91852,x91853,x91851,x91854)),f326(f189(f932(x91851)),x91853)))
% 198.08/197.85 [9210]~P114(x92104)+P1(f326(f326(f328(x92101),f383(x92102,x92103,x92101,x92104)),x92103))+P1(f326(f326(f235(x92104),f2(x92104)),f326(f326(f11(x92101,x92104),x92102),x92103)))
% 198.08/197.85 [9211]~P114(x92114)+P1(f326(f326(f328(x92111),f384(x92112,x92113,x92111,x92114)),x92113))+P1(f326(f326(f234(x92114),f2(x92114)),f326(f326(f11(x92111,x92114),x92112),x92113)))
% 198.08/197.85 [9236]~P1(f326(f61(x92361),x92364))+P1(f326(f326(f328(x92361),f556(x92362,x92363,x92364,x92361)),x92364))+P1(f326(f61(f938(x92361,x92363)),f326(f326(f253(x92361,x92363),x92364),x92362)))
% 198.08/197.85 [9268]P1(f326(f326(f328(x92682),f765(x92681,x92683,x92682,x92684)),f326(f172(x92682),x92683)))+P1(f326(x92681,f326(f326(f164(x92682),x92683),x92684)))+~P1(f326(f326(f235(a931),x92684),f326(f189(f932(x92682)),x92683)))
% 198.08/197.85 [9397]P1(f326(f326(f234(a931),x93974),f326(f189(f932(x93972)),f177(x93972,x93973,x93971))))+P1(f326(f326(f235(a931),f736(x93971,x93972,x93973,x93974)),x93974))+~P1(f326(f326(f234(a931),x93974),f326(f189(f932(x93972)),x93971)))
% 198.08/197.85 [9556]E(f177(x95561,x95562,x95563),f326(f326(f175(x95561),x95564),x95563))+~P1(f326(x95562,f326(f326(f164(x95561),x95563),f735(x95562,x95563,x95561,x95564))))+P1(f326(f326(f235(a931),x95564),f326(f189(f932(x95561)),x95563)))
% 198.08/197.85 [9563]E(f177(x95631,x95632,x95633),f326(f326(f175(x95631),x95634),x95633))+~P1(f326(x95632,f326(f326(f164(x95631),x95633),f735(x95632,x95633,x95631,x95634))))+P1(f326(x95632,f326(f326(f164(x95631),x95633),x95634)))
% 198.08/197.85 [9567]~P1(f326(f61(x95671),x95673))+~P1(f326(f61(x95672),f326(x95674,f556(x95674,x95672,x95673,x95671))))+P1(f326(f61(f938(x95671,x95672)),f326(f326(f253(x95671,x95672),x95673),x95674)))
% 198.08/197.85 [9575]~P114(x95751)+~P1(f326(f326(f234(x95751),f2(x95751)),f326(x95753,f384(x95753,x95754,x95752,x95751))))+P1(f326(f326(f234(x95751),f2(x95751)),f326(f326(f11(x95752,x95751),x95753),x95754)))
% 198.08/197.85 [9576]~P114(x95761)+~P1(f326(f326(f235(x95761),f2(x95761)),f326(x95763,f383(x95763,x95764,x95762,x95761))))+P1(f326(f326(f235(x95761),f2(x95761)),f326(f326(f11(x95762,x95761),x95763),x95764)))
% 198.08/197.85 [9584]~E(f326(f189(f932(x95844)),x95842),f326(f189(f932(x95844)),x95843))+P1(f326(f326(f328(f938(f932(x95844),f932(x95844))),f326(f326(f251(f932(x95844),f932(x95844)),x95843),x95842)),f158(x95844,x95841)))+P1(f326(f326(f235(a931),f667(x95841,x95842,x95843,x95844)),f326(f189(f932(x95844)),x95843)))
% 198.08/197.85 [9636]~P1(f326(x96363,f326(f326(f164(x96362),x96364),f736(x96364,x96362,x96363,x96361))))+P1(f326(f326(f234(a931),x96361),f326(f189(f932(x96362)),f177(x96362,x96363,x96364))))+~P1(f326(f326(f234(a931),x96361),f326(f189(f932(x96362)),x96364)))
% 198.08/197.85 [9718]E(f326(f326(f175(x97181),f674(x97182,x97183,x97184,x97181)),x97183),f326(f326(f175(x97181),f674(x97182,x97183,x97184,x97181)),x97184))+~P1(f326(f326(f328(f938(f932(x97181),f932(x97181))),f326(f326(f251(f932(x97181),f932(x97181)),x97184),x97183)),f147(x97181,x97182)))+P1(f326(f326(f235(a931),f326(f189(f932(x97181)),x97184)),f326(f189(f932(x97181)),x97183)))
% 198.08/197.85 [9774]~P1(f326(f326(f235(a931),f2(a931)),x97743))+~P1(f326(f326(f235(a931),x97744),x97741))+P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),x97741),f45(a931,x97742,x97743))),x97744)),f326(f326(f80(a931),x97741),x97743)))
% 198.08/197.85 [9968]~P110(x99682)+~P1(f326(f326(f234(x99682),f326(x99683,f413(x99684,x99683,x99681,x99682))),f326(x99684,f413(x99684,x99683,x99681,x99682))))+P1(f326(f326(f234(f939(x99681,x99682)),x99683),x99684))
% 198.08/197.85 [10070]~P72(x100701)+E(f326(f326(f8(a931,x100701),f326(f326(f20(a931,x100701,x100701),f326(f326(f10(x100701,f939(x100701,x100701),a931),f3(x100701)),x100702)),f326(f326(f10(a931,x100701,a931),x100702),f326(f326(f9(a931,a931,a931),f79(a931)),f77(a931))))),f302(a931,x100703,x100704)),f326(f326(f3(x100701),f326(x100702,x100703)),f326(x100702,f326(f326(f79(a931),x100704),f77(a931)))))+~P1(f326(f326(f234(a931),x100703),x100704))
% 198.08/197.85 [10146]~P41(x101463,f326(f326(f288(x101463,x101463,x101463),x101462),f306(x101463,x101462)))+~P1(f326(f326(f328(f938(x101463,x101463)),f326(f326(f251(x101463,x101463),f326(x101461,f326(a112,f845(x101462,x101461,x101463)))),f326(x101461,f845(x101462,x101461,x101463)))),f306(x101463,x101462)))+E(f326(x101461,f326(f326(f79(a931),f844(x101462,x101461,x101463)),x101464)),f326(x101461,f844(x101462,x101461,x101463)))
% 198.08/197.85 [7000]~P65(x70001)+E(f326(f326(f36(x70001),f326(f326(f80(x70001),x70002),x70003)),x70004),f326(f326(f80(x70001),x70002),f326(f326(f36(x70001),x70003),x70004)))+~P1(f326(f326(f286(x70001),x70004),x70003))
% 198.08/197.85 [7086]E(f326(f326(f134(x70861),x70862),x70863),x70864)+~E(x70863,f326(f326(f138(x70861),f326(f189(f932(x70861)),x70862)),x70864))+~E(f326(f326(f175(x70861),f326(f189(f932(x70861)),x70862)),x70864),x70862)
% 198.08/197.85 [7142]~P69(x71422)+E(x71421,f2(x71422))+E(f326(f326(f290(x71422),f326(f326(f243(x71422),x71423),x71424)),f326(f326(f243(x71422),x71421),x71424)),f326(f326(f243(x71422),f326(f326(f290(x71422),x71423),x71421)),x71424))
% 198.08/197.85 [7286]~P65(x72861)+E(f326(f326(f36(x72861),f326(f326(f80(x72861),x72862),x72863)),x72864),f326(f326(f80(x72861),f326(f326(f36(x72861),x72862),x72864)),x72863))+~P1(f326(f326(f286(x72861),x72864),x72862))
% 198.08/197.85 [7294]~P105(x72941)+~P1(f326(f326(f234(x72941),x72943),x72944))+P1(f326(f326(f234(x72941),f326(f326(f101(x72941),x72942),x72943)),x72944))
% 198.08/197.85 [7295]~P105(x72951)+~P1(f326(f326(f234(x72951),x72952),x72954))+P1(f326(f326(f234(x72951),f326(f326(f101(x72951),x72952),x72953)),x72954))
% 198.08/197.85 [7297]~P111(x72971)+~P1(f326(f326(f234(x72971),x72973),x72974))+P1(f326(f326(f234(x72971),f326(f326(f232(x72971),x72972),x72973)),x72974))
% 198.08/197.85 [7299]~P111(x72991)+~P1(f326(f326(f234(x72991),x72992),x72994))+P1(f326(f326(f234(x72991),f326(f326(f232(x72991),x72992),x72993)),x72994))
% 198.08/197.85 [7300]~P105(x73001)+~P1(f326(f326(f235(x73001),x73003),x73004))+P1(f326(f326(f235(x73001),f326(f326(f101(x73001),x73002),x73003)),x73004))
% 198.08/197.85 [7301]~P105(x73011)+~P1(f326(f326(f235(x73011),x73012),x73014))+P1(f326(f326(f235(x73011),f326(f326(f101(x73011),x73012),x73013)),x73014))
% 198.08/197.85 [7303]~P111(x73031)+~P1(f326(f326(f235(x73031),x73033),x73034))+P1(f326(f326(f235(x73031),f326(f326(f232(x73031),x73032),x73033)),x73034))
% 198.08/197.85 [7305]~P111(x73051)+~P1(f326(f326(f235(x73051),x73052),x73054))+P1(f326(f326(f235(x73051),f326(f326(f232(x73051),x73052),x73053)),x73054))
% 198.08/197.85 [7328]~P1(f326(x73283,x73284))+~P1(f326(x73282,x73284))+P1(f326(f326(f326(f101(f939(x73281,a927)),x73282),x73283),x73284))
% 198.08/197.85 [7454]P26(x74541,x74542,x74543)+~P26(x74541,x74544,x74543)+~P1(f326(f326(f234(f939(f930(x74541),a927)),x74544),x74542))
% 198.08/197.85 [7455]P26(x74551,x74552,x74553)+~P26(x74551,x74552,x74554)+~P1(f326(f326(f234(f939(f930(x74551),a927)),x74553),x74554))
% 198.08/197.85 [7834]~P79(x78341)+E(f326(f326(f79(x78341),f326(x78342,x78343)),f326(f326(f8(a931,x78341),x78342),f326(f301(a931,f326(a112,x78343)),x78344))),f326(f326(f8(a931,x78341),x78342),f326(f301(a931,x78343),x78344)))+~P1(f326(f326(f235(a931),x78343),x78344))
% 198.08/197.85 [7852]E(x78521,x78522)+P1(f326(f326(f172(x78523),x78524),x78522))+~P1(f326(f326(f172(x78523),f326(f326(f151(x78523),x78521),x78524)),x78522))
% 198.08/197.85 [7864]~P111(x78641)+P1(f326(f326(f234(x78641),x78642),x78643))+~P1(f326(f326(f234(x78641),f326(f326(f233(x78641),x78644),x78642)),x78643))
% 198.08/197.85 [7866]~P111(x78661)+P1(f326(f326(f234(x78661),x78662),x78663))+~P1(f326(f326(f234(x78661),f326(f326(f233(x78661),x78662),x78664)),x78663))
% 198.08/197.85 [7868]~P104(x78681)+P1(f326(f326(f234(x78681),x78682),x78683))+~P1(f326(f326(f234(x78681),f326(f326(f110(x78681),x78684),x78682)),x78683))
% 198.08/197.85 [7870]~P104(x78701)+P1(f326(f326(f234(x78701),x78702),x78703))+~P1(f326(f326(f234(x78701),f326(f326(f110(x78701),x78702),x78704)),x78703))
% 198.08/197.85 [7871]~P111(x78711)+P1(f326(f326(f235(x78711),x78712),x78713))+~P1(f326(f326(f235(x78711),f326(f326(f233(x78711),x78714),x78712)),x78713))
% 198.08/197.85 [7872]~P111(x78721)+P1(f326(f326(f235(x78721),x78722),x78723))+~P1(f326(f326(f235(x78721),f326(f326(f233(x78721),x78722),x78724)),x78723))
% 198.08/197.85 [7873]~P115(x78731)+P1(f326(f326(f286(x78731),x78732),x78733))+~P1(f326(f326(f286(x78731),f326(f326(f80(x78731),x78734),x78732)),x78733))
% 198.08/197.85 [7874]~P115(x78741)+P1(f326(f326(f286(x78741),x78742),x78743))+~P1(f326(f326(f286(x78741),f326(f326(f80(x78741),x78742),x78744)),x78743))
% 198.08/197.85 [7949]~P1(f326(f326(f328(x79491),x79492),x79494))+P1(f326(f326(f328(x79491),x79492),x79493))+P1(f326(f326(f328(x79491),x79492),f326(f326(f3(f939(x79491,a927)),x79494),x79493)))
% 198.08/197.85 [8032]P1(f326(x80321,x80322))+P1(f326(x80323,x80322))+~P1(f326(f326(f326(f110(f939(x80324,a927)),x80323),x80321),x80322))
% 198.08/197.85 [8043]~P1(f326(f326(f328(x80431),x80432),x80434))+~P1(f326(f326(f328(x80431),x80432),x80433))+P1(f326(f326(f328(x80431),x80432),f326(f326(f101(f939(x80431,a927)),x80433),x80434)))
% 198.08/197.85 [8096]~P104(x80961)+~P1(f326(f61(x80961),x80964))+E(f326(f326(f64(x80961,x80961,f110(x80961)),x80962),f326(f326(f308(x80961),x80963),x80964)),f326(f326(f110(x80961),x80963),f326(f326(f64(x80961,x80961,f110(x80961)),x80962),x80964)))
% 198.08/197.85 [8097]~P105(x80971)+~P1(f326(f61(x80971),x80974))+E(f326(f326(f64(x80971,x80971,f101(x80971)),x80972),f326(f326(f308(x80971),x80973),x80974)),f326(f326(f101(x80971),x80973),f326(f326(f64(x80971,x80971,f101(x80971)),x80972),x80974)))
% 198.08/197.85 [8098]~P111(x80981)+~P1(f326(f61(x80981),x80984))+E(f326(f326(f64(x80981,x80981,f232(x80981)),x80982),f326(f326(f308(x80981),x80983),x80984)),f326(f326(f232(x80981),x80983),f326(f326(f64(x80981,x80981,f232(x80981)),x80982),x80984)))
% 198.08/197.85 [8099]~P111(x80991)+~P1(f326(f61(x80991),x80994))+E(f326(f326(f64(x80991,x80991,f233(x80991)),x80992),f326(f326(f308(x80991),x80993),x80994)),f326(f326(f233(x80991),x80993),f326(f326(f64(x80991,x80991,f233(x80991)),x80992),x80994)))
% 198.08/197.85 [8101]~P113(x81011)+~P97(x81011)+E(f326(f326(f3(x81011),f326(f326(f80(x81011),f326(f103(x81011),x81012)),x81013)),f326(f326(f80(x81011),f326(f103(x81011),x81012)),x81014)),f326(f326(f80(x81011),f326(f103(x81011),x81012)),f326(f326(f3(x81011),x81013),x81014)))
% 198.08/197.85 [8102]~P143(x81021)+~P97(x81021)+E(f326(f326(f79(x81021),f326(f326(f80(x81021),f326(f103(x81021),x81022)),x81023)),f326(f326(f80(x81021),f326(f103(x81021),x81022)),x81024)),f326(f326(f80(x81021),f326(f103(x81021),x81022)),f326(f326(f79(x81021),x81023),x81024)))
% 198.08/197.85 [8218]E(x82181,x82182)+P1(f326(f326(f328(x82183),x82181),f326(f172(x82183),x82184)))+~P1(f326(f326(f328(x82183),x82181),f326(f172(x82183),f326(f326(f151(x82183),x82182),x82184))))
% 198.08/197.85 [8394]P59(x83941,x83942,x83943)+~P59(x83941,x83942,x83944)+~P1(f326(f326(f234(f939(f938(x83941,x83942),a927)),x83943),x83944))
% 198.08/197.85 [8440]P1(f326(f326(f328(x84401),x84402),x84403))+P1(f326(f326(f328(x84401),x84402),x84404))+~P1(f326(f326(f328(x84401),x84402),f326(f326(f110(f939(x84401,a927)),x84404),x84403)))
% 198.08/197.85 [8450]~P57(x84501,x84504,x84503)+~P1(f326(f326(f328(x84501),x84502),x84504))+P1(f326(f326(f328(f938(x84501,x84501)),f326(f326(f251(x84501,x84501),x84502),x84502)),x84503))
% 198.08/197.85 [8462]~P1(f326(f61(x84622),x84624))+~P1(f326(f61(x84621),x84623))+P1(f326(f61(f938(x84621,x84622)),f326(f326(f253(x84621,x84622),x84623),f326(f18(f939(x84622,a927),x84621),x84624))))
% 198.08/197.85 [8463]~P1(f326(f326(f328(x84631),x84632),x84634))+~P1(f326(f326(f234(f939(x84631,a927)),x84633),x84634))+P1(f326(f326(f234(f939(x84631,a927)),f326(f326(f308(x84631),x84632),x84633)),x84634))
% 198.08/197.85 [8470]~P75(x84702)+~P148(x84702)+E(f326(f326(f11(x84701,x84702),f326(f326(f10(a931,x84702,x84701),f100(x84702)),x84703)),x84704),f326(f100(x84702),f326(f326(f11(x84701,a931),x84703),x84704)))
% 198.08/197.85 [8471]~P75(x84712)+~P145(x84712)+E(f326(f326(f11(x84711,x84712),f326(f326(f10(a1,x84712,x84711),f102(x84712)),x84713)),x84714),f326(f102(x84712),f326(f326(f11(x84711,a1),x84713),x84714)))
% 198.08/197.85 [8495]E(f326(f326(f3(f939(x84951,a927)),x84952),f326(f326(f3(f939(x84951,a927)),x84953),x84954)),x84954)+~P1(f326(f326(f234(f939(x84951,a927)),x84952),x84953))+~P1(f326(f326(f234(f939(x84951,a927)),x84954),x84952))
% 198.08/197.85 [8591]~P1(f326(f61(x85911),x85914))+E(f326(f326(f3(a931),f326(f326(f8(x85911,a931),x85912),x85913)),f326(f326(f8(x85911,a931),x85912),x85914)),f326(f326(f8(x85911,a931),x85912),f326(f326(f3(f939(x85911,a927)),x85913),x85914)))+~P1(f326(f326(f234(f939(x85911,a927)),x85914),x85913))
% 198.08/197.85 [8742]~P10(x87421,x87424,x87423)+~P1(f326(f326(f328(x87421),x87422),x87424))+P1(f326(f326(f328(x87421),x87422),f326(f284(x87421,x87421,x87423),f326(f326(f308(x87421),x87422),f188(f939(x87421,a927))))))
% 198.08/197.85 [8803]~P1(f326(f326(f234(f939(x88031,a927)),x88032),x88033))+~P1(f326(f326(f234(f939(x88031,a927)),x88032),x88034))+P1(f326(f326(f234(f939(x88031,a927)),x88032),f326(f326(f101(f939(x88031,a927)),x88033),x88034)))
% 198.08/197.85 [8905]E(x89051,f188(f939(x89052,a927)))+P1(f326(f61(x89053),x89054))+~P1(f326(f61(f938(x89053,x89052)),f326(f326(f253(x89053,x89052),x89054),f326(f18(f939(x89052,a927),x89053),x89051))))
% 198.08/197.85 [8906]E(x89061,f188(f939(x89062,a927)))+P1(f326(f61(x89063),x89064))+~P1(f326(f61(f938(x89062,x89063)),f326(f326(f253(x89062,x89063),x89061),f326(f18(f939(x89063,a927),x89062),x89064))))
% 198.08/197.85 [8979]P1(f326(f326(f328(x89791),x89792),f315(x89791,x89793)))+~P1(f326(f326(f328(x89791),x89794),f315(x89791,x89793)))+~P1(f326(f326(f328(f938(x89791,x89791)),f326(f326(f251(x89791,x89791),x89792),x89794)),x89793))
% 198.08/197.85 [9036]~P41(x90361,x90364)+P1(f326(f326(f328(f938(x90361,x90361)),f326(f326(f251(x90361,x90361),x90363),x90362)),f306(x90361,x90364)))+P41(x90361,f326(f326(f308(f938(x90361,x90361)),f326(f326(f251(x90361,x90361),x90362),x90363)),x90364))
% 198.08/197.85 [9037]~P62(x90371,x90374)+P1(f326(f326(f328(f938(x90371,x90371)),f326(f326(f251(x90371,x90371),x90373),x90372)),f306(x90371,x90374)))+P62(x90371,f326(f326(f308(f938(x90371,x90371)),f326(f326(f251(x90371,x90371),x90372),x90373)),x90374))
% 198.08/197.85 [9120]~E(x91202,x91203)+~P1(f326(f326(f328(x91201),x91202),f326(f172(x91201),x91204)))+P1(f326(f326(f328(f938(x91201,x91201)),f326(f326(f251(x91201,x91201),x91202),x91203)),f326(f172(f938(x91201,x91201)),f326(f326(f181(x91201,x91201),x91204),x91204))))
% 198.08/197.85 [9209]~E(x92093,x92094)+P1(f326(f326(f256(x92091,x92091,a927),a323),x92092))+~P1(f326(f326(f328(f938(x92091,x92091)),x92092),f326(f172(f938(x92091,x92091)),f326(f326(f181(x92091,x92091),x92093),x92094))))
% 198.08/197.85 [9253]P1(f326(f326(f328(f938(f932(x92531),f932(x92531))),f326(f326(f251(f932(x92531),f932(x92531)),x92532),x92533)),f147(x92531,x92534)))+~E(f326(f326(f175(x92531),f326(f189(f932(x92531)),x92532)),x92533),x92532)+~P1(f326(f326(f235(a931),f326(f189(f932(x92531)),x92532)),f326(f189(f932(x92531)),x92533)))
% 198.08/197.85 [9256]~P56(x92561,x92564)+~P1(f326(f326(f328(f938(x92561,x92561)),f326(f326(f251(x92561,x92561),x92563),x92562)),x92564))+P1(f326(f326(f328(f938(x92561,x92561)),f326(f326(f251(x92561,x92561),x92562),x92563)),x92564))
% 198.08/197.85 [9347]~P1(f326(f61(x93471),x93474))+P1(f326(f326(f328(x93471),f476(x93472,x93473,x93474,x93471)),x93474))+P1(f326(f61(x93473),f326(f326(f40(x93471,f939(x93473,a927)),x93474),x93472)))
% 198.08/197.85 [9348]~P1(f326(f61(x93481),x93484))+P1(f326(f326(f328(x93481),f596(x93482,x93483,x93484,x93481)),x93484))+P1(f326(f61(x93483),f326(f326(f40(x93481,f939(x93483,a927)),x93484),x93482)))
% 198.08/197.85 [9441]P1(f326(f326(f328(f938(x94411,x94411)),x94412),f326(f326(f288(x94411,x94411,x94411),x94413),f306(x94411,x94413))))+~P1(f326(f326(f235(a931),f2(a931)),x94414))+~P1(f326(f326(f328(f938(x94411,x94411)),x94412),f326(f326(f183(f938(x94411,x94411),a927),x94414),x94413)))
% 198.08/197.85 [9449]~P41(x94491,x94492)+~P1(f326(f326(f328(f938(x94491,x94491)),f326(f326(f251(x94491,x94491),x94494),x94493)),x94492))+~P1(f326(f326(f328(f938(x94491,x94491)),f326(f326(f251(x94491,x94491),x94493),x94494)),x94492))
% 198.08/197.85 [9574]~P1(f326(f61(x95741),x95744))+E(f326(f326(f8(x95741,a931),f326(f326(f10(f939(x95742,a927),a931,x95741),f35(x95742)),x95743)),x95744),f326(f35(f938(x95741,x95742)),f326(f326(f253(x95741,x95742),x95744),x95743)))+P1(f326(f326(f328(x95741),f558(x95743,x95742,x95744,x95741)),x95744))
% 198.08/197.85 [9578]~P1(f326(f137(x95781),x95782))+P1(f326(f137(x95781),f326(f326(f159(x95781,x95782),x95783),x95784)))+P1(f326(f326(f328(x95781),x95784),f326(f326(f3(f939(x95781,a927)),f326(f172(x95781),x95782)),f326(f326(f308(x95781),f326(f326(f164(x95781),x95782),x95783)),f188(f939(x95781,a927))))))
% 198.08/197.85 [9595]~P1(f326(f61(x95952),x95953))+~P1(f326(f61(x95951),f326(x95954,f476(x95954,x95951,x95953,x95952))))+P1(f326(f61(x95951),f326(f326(f40(x95952,f939(x95951,a927)),x95953),x95954)))
% 198.08/197.85 [9596]~P1(f326(f61(x95962),x95963))+~P1(f326(f61(x95961),f326(x95964,f596(x95964,x95961,x95963,x95962))))+P1(f326(f61(x95961),f326(f326(f40(x95962,f939(x95961,a927)),x95963),x95964)))
% 198.08/197.85 [9674]~P1(f326(f326(f328(f938(x96741,x96741)),x96742),f326(f326(f288(x96741,x96741,x96741),x96744),f306(x96741,x96744))))+P1(f326(f326(f328(f938(x96741,x96741)),x96742),f326(f326(f288(x96741,x96741,x96741),x96743),f306(x96741,x96743))))+~P1(f326(f326(f234(f939(f938(x96741,x96741),a927)),x96744),x96743))
% 198.08/197.85 [9684]E(f326(f326(f175(x96841),f674(x96844,x96843,x96842,x96841)),x96843),f326(f326(f175(x96841),f674(x96844,x96843,x96842,x96841)),x96842))+~P1(f326(f326(f328(f938(f932(x96841),f932(x96841))),f326(f326(f251(f932(x96841),f932(x96841)),x96842),x96843)),f147(x96841,x96844)))+E(f326(f326(f175(x96841),f326(f189(f932(x96841)),x96842)),x96843),x96842)
% 198.08/197.85 [9700]~P1(f326(f61(x97001),x97004))+E(f326(f326(f8(x97001,a931),f326(f326(f10(f939(x97002,a927),a931,x97001),f35(x97002)),x97003)),x97004),f326(f35(f938(x97001,x97002)),f326(f326(f253(x97001,x97002),x97004),x97003)))+~P1(f326(f61(x97002),f326(x97003,f558(x97003,x97002,x97004,x97001))))
% 198.08/197.85 [9705]~E(f326(f189(f932(x97051)),x97053),f326(f189(f932(x97051)),x97052))+P1(f326(f326(f328(f938(f932(x97051),f932(x97051))),f326(f326(f251(f932(x97051),f932(x97051)),x97052),x97053)),f158(x97051,x97054)))+P1(f326(f326(f328(f938(x97051,x97051)),f677(x97054,x97053,x97052,x97051)),f326(f172(f938(x97051,x97051)),f326(f326(f181(x97051,x97051),x97052),x97053))))
% 198.08/197.85 [9786]~P1(f326(f326(f328(f938(f932(x97861),f932(x97861))),f326(f326(f251(f932(x97861),f932(x97861)),x97862),x97863)),f147(x97861,x97864)))+E(f326(f326(f175(x97861),f326(f189(f932(x97861)),x97862)),x97863),x97862)+P1(f326(f326(f235(a931),f674(x97864,x97863,x97862,x97861)),f326(f326(f232(a931),f326(f189(f932(x97861)),x97862)),f326(f189(f932(x97861)),x97863))))
% 198.08/197.85 [9810]~P1(f326(f326(f328(f938(f932(x98101),f932(x98101))),f326(f326(f251(f932(x98101),f932(x98101)),x98102),x98103)),f147(x98101,x98104)))+P1(f326(f326(f235(a931),f326(f189(f932(x98101)),x98102)),f326(f189(f932(x98101)),x98103)))+P1(f326(f326(f235(a931),f674(x98104,x98103,x98102,x98101)),f326(f326(f232(a931),f326(f189(f932(x98101)),x98102)),f326(f189(f932(x98101)),x98103))))
% 198.08/197.85 [10215]~P1(f326(f326(f328(f938(f932(x102151),f932(x102151))),f326(f326(f251(f932(x102151),f932(x102151)),x102152),x102153)),f147(x102151,x102154)))+E(f326(f326(f175(x102151),f326(f189(f932(x102151)),x102152)),x102153),x102152)+P1(f326(f326(f328(f938(x102151,x102151)),f326(f326(f251(x102151,x102151),f326(f326(f164(x102151),x102152),f674(x102154,x102153,x102152,x102151))),f326(f326(f164(x102151),x102153),f674(x102154,x102153,x102152,x102151)))),x102154))
% 198.08/197.85 [10216]~P1(f326(f326(f328(f938(f932(x102161),f932(x102161))),f326(f326(f251(f932(x102161),f932(x102161)),x102162),x102163)),f147(x102161,x102164)))+P1(f326(f326(f235(a931),f326(f189(f932(x102161)),x102162)),f326(f189(f932(x102161)),x102163)))+P1(f326(f326(f328(f938(x102161,x102161)),f326(f326(f251(x102161,x102161),f326(f326(f164(x102161),x102162),f674(x102164,x102163,x102162,x102161))),f326(f326(f164(x102161),x102163),f674(x102164,x102163,x102162,x102161)))),x102164))
% 198.08/197.85 [10283]~E(f326(f189(f932(x102831)),x102832),f326(f189(f932(x102831)),x102833))+P1(f326(f326(f328(f938(f932(x102831),f932(x102831))),f326(f326(f251(f932(x102831),f932(x102831)),x102832),x102833)),f158(x102831,x102834)))+~P1(f326(f326(f328(f938(x102831,x102831)),f326(f326(f251(x102831,x102831),f326(f326(f164(x102831),x102832),f667(x102834,x102833,x102832,x102831))),f326(f326(f164(x102831),x102833),f667(x102834,x102833,x102832,x102831)))),x102834))
% 198.08/197.85 [10433]~P79(x104331)+~P1(f326(f61(x104332),x104334))+E(f326(f165(x104331),f326(f326(f154(x104332,x104331),x104333),f89(f932(x104332),f326(f326(f20(f932(x104332),a927,a927),f326(f326(f10(a927,f939(a927,a927),f932(x104332)),a324),f326(f326(f9(f932(x104332),f939(x104332,a927),a927),f326(f326(f10(f939(x104332,a927),f939(f939(x104332,a927),a927),f932(x104332)),a323),f172(x104332))),x104334))),f137(x104332))))),f231(x104332,x104331,x104333,x104334))
% 198.08/197.85 [7677]~P68(x76772)+E(x76771,f2(x76772))+E(f326(f326(f290(x76772),f326(f326(f79(x76772),x76773),f326(f326(f80(x76772),x76774),x76771))),x76771),f326(f326(f79(x76772),x76774),f326(f326(f290(x76772),x76773),x76771)))
% 198.08/197.85 [7678]~P65(x76782)+E(x76781,f2(x76782))+E(f326(f326(f36(x76782),f326(f326(f79(x76782),x76783),f326(f326(f80(x76782),x76784),x76781))),x76781),f326(f326(f79(x76782),x76784),f326(f326(f36(x76782),x76783),x76781)))
% 198.08/197.85 [7679]~P65(x76792)+E(x76791,f2(x76792))+E(f326(f326(f36(x76792),f326(f326(f79(x76792),x76793),f326(f326(f80(x76792),x76791),x76794))),x76791),f326(f326(f79(x76792),x76794),f326(f326(f36(x76792),x76793),x76791)))
% 198.08/197.85 [7913]~P69(x79132)+E(x79131,f2(x79132))+E(f326(f326(f290(x79132),f326(f326(f3(x79132),x79133),f326(f326(f80(x79132),x79131),x79134))),x79131),f326(f326(f3(x79132),f326(f326(f290(x79132),x79133),x79131)),x79134))
% 198.08/197.85 [7914]~P68(x79142)+E(x79141,f2(x79142))+E(f326(f326(f290(x79142),f326(f326(f79(x79142),x79143),f326(f326(f80(x79142),x79144),x79141))),x79141),f326(f326(f79(x79142),f326(f326(f290(x79142),x79143),x79141)),x79144))
% 198.08/197.85 [7915]~P69(x79152)+E(x79151,f2(x79152))+E(f326(f326(f290(x79152),f326(f326(f79(x79152),x79153),f326(f326(f80(x79152),x79151),x79154))),x79151),f326(f326(f79(x79152),f326(f326(f290(x79152),x79153),x79151)),x79154))
% 198.08/197.85 [8622]~P1(f326(f160(x86221,x86223),x86224))+~P1(f326(f160(x86221,x86222),x86224))+P1(f326(f160(x86221,f326(f326(f101(f939(x86221,a927)),x86222),x86223)),x86224))
% 198.08/197.85 [8994]~E(f326(f326(f288(x89941,x89941,x89941),x89942),x89944),f188(f939(f938(x89941,x89941),a927)))+~E(f326(f326(f288(x89941,x89941,x89941),x89942),x89943),f188(f939(f938(x89941,x89941),a927)))+E(f326(f326(f288(x89941,x89941,x89941),x89942),f326(f326(f110(f939(f938(x89941,x89941),a927)),x89943),x89944)),f188(f939(f938(x89941,x89941),a927)))
% 198.08/197.85 [9121]~P1(f326(f326(f234(f939(x91211,a927)),x91213),x91214))+~P1(f326(f326(f234(f939(x91211,a927)),x91212),x91214))+P1(f326(f326(f234(f939(x91211,a927)),f326(f326(f110(f939(x91211,a927)),x91212),x91213)),x91214))
% 198.08/197.85 [9504]~P1(f326(f61(x95041),x95044))+~P1(f326(f61(x95041),x95043))+E(f326(f326(f3(a931),f326(f326(f79(a931),f326(f326(f8(x95041,a931),x95042),x95043)),f326(f326(f8(x95041,a931),x95042),x95044))),f326(f326(f8(x95041,a931),x95042),f326(f326(f101(f939(x95041,a927)),x95043),x95044))),f326(f326(f8(x95041,a931),x95042),f326(f326(f110(f939(x95041,a927)),x95043),x95044)))
% 198.08/197.85 [9592]~P1(f326(f326(f328(x95921),x95923),x95922))+~P1(f326(f326(f234(f939(x95921,a927)),x95922),f326(f326(f308(x95921),x95923),x95924)))+P1(f326(f326(f234(f939(x95921,a927)),f326(f326(f3(f939(x95921,a927)),x95922),f326(f326(f308(x95921),x95923),f188(f939(x95921,a927))))),x95924))
% 198.08/197.85 [9761]~P1(f326(f326(f328(x97611),x97613),x97612))+P1(f326(f326(f234(f939(x97611,a927)),x97612),f326(f326(f308(x97611),x97613),x97614)))+~P1(f326(f326(f234(f939(x97611,a927)),f326(f326(f3(f939(x97611,a927)),x97612),f326(f326(f308(x97611),x97613),f188(f939(x97611,a927))))),x97614))
% 198.08/197.85 [9850]~P1(f326(f326(f234(a931),x98501),x98503))+~P1(f326(f326(f235(a931),x98502),x98504))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x98501),x98502)),f326(f326(f251(a931,a931),x98503),x98504))),a32))
% 198.08/197.85 [9851]~P1(f326(f326(f234(a931),x98512),x98514))+~P1(f326(f326(f234(a931),x98511),x98513))+P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),f326(f326(f251(a931,a931),x98511),x98512)),f326(f326(f251(a931,a931),x98513),x98514))),a70))
% 198.08/197.85 [10144]~P1(f326(f326(f328(f932(x101441)),x101444),f161(x101441,x101443)))+~P1(f326(f326(f328(f932(x101441)),x101444),f161(x101441,x101442)))+P1(f326(f160(x101441,f326(f326(f101(f939(x101441,a927)),f326(f326(f9(x101441,f939(x101441,a927),a927),f328(x101441)),x101442)),f326(f326(f9(x101441,f939(x101441,a927),a927),f328(x101441)),x101443))),x101444))
% 198.08/197.85 [10249]~P27(x102491,f939(f939(x102491,a927),a927),f326(f326(f9(x102491,f939(f938(x102491,x102491),a927),f939(f939(x102491,a927),a927)),f326(f326(f10(f939(x102491,a927),f939(f939(f938(x102491,x102491),a927),f939(f939(x102491,a927),a927)),x102491),f60(x102491)),f326(f326(f9(x102491,f939(x102491,a927),f939(x102491,a927)),f308(x102491)),f188(f939(x102491,a927))))),x102493),x102492)+~P1(f326(f326(f328(x102491),x102494),x102492))+E(f326(f326(f3(f939(f939(x102491,a927),a927)),f326(f326(f60(x102491),x102492),x102493)),f326(f326(f60(x102491),f326(f326(f308(x102491),x102494),f188(f939(x102491,a927)))),x102493)),f326(f326(f60(x102491),f326(f326(f3(f939(x102491,a927)),x102492),f326(f326(f308(x102491),x102494),f188(f939(x102491,a927))))),x102493))
% 198.08/197.85 [10386]~P57(x103861,x103862,x103864)+~P1(f326(f326(f328(f938(x103861,x103861)),x103863),x103864))+P1(f326(f326(f256(x103861,x103861,a927),f326(f326(f9(x103861,f939(x103861,a927),f939(x103861,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x103861,a927),f939(x103861,a927)),x103861),f10(a927,a927,x103861)),f326(f326(f10(a927,f939(a927,a927),x103861),a324),f326(f326(f9(x103861,f939(x103861,a927),a927),f328(x103861)),x103862)))),f326(f326(f9(x103861,f939(x103861,a927),a927),f328(x103861)),x103862))),x103863))
% 198.08/197.85 [10401]P1(f326(f61(x104011),x104012))+~P1(f326(f61(x104013),f326(f309(x104011,x104013,x104014),x104012)))+~P1(f326(f61(x104011),f326(f261(x104011),f326(f326(f20(x104011,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104011),a324),f326(f326(f9(x104011,f939(x104011,a927),a927),f328(x104011)),x104012))),f326(f326(f9(x104011,x104013,a927),f326(f326(f10(x104013,f939(x104013,a927),x104011),a323),x104014)),f326(x104014,f589(x104014,x104013,x104012,x104011)))))))
% 198.08/197.85 [8376]~P69(x83762)+E(x83761,f2(x83762))+E(f326(f326(f290(x83762),f326(f326(f3(x83762),f326(f326(f80(x83762),x83761),x83763)),x83764)),x83761),f326(f326(f3(x83762),x83763),f326(f326(f290(x83762),x83764),x83761)))
% 198.08/197.85 [8377]~P69(x83772)+E(x83771,f2(x83772))+E(f326(f326(f290(x83772),f326(f326(f79(x83772),f326(f326(f80(x83772),x83771),x83773)),x83774)),x83771),f326(f326(f79(x83772),x83773),f326(f326(f290(x83772),x83774),x83771)))
% 198.08/197.85 [9282]~E(f326(f326(f288(x92821,x92821,x92821),x92823),x92824),f188(f939(f938(x92821,x92821),a927)))+~E(f326(f326(f288(x92821,x92821,x92821),x92822),x92824),f188(f939(f938(x92821,x92821),a927)))+E(f326(f326(f288(x92821,x92821,x92821),f326(f326(f110(f939(f938(x92821,x92821),a927)),x92822),x92823)),x92824),f188(f939(f938(x92821,x92821),a927)))
% 198.08/197.85 [10060]~P1(f326(f160(x100601,x100603),x100604))+~P1(f326(f160(x100601,x100602),x100604))+P1(f326(f160(x100601,f326(f326(f20(x100601,a927,a927),f326(f326(f10(a927,f939(a927,a927),x100601),a324),x100602)),x100603)),x100604))
% 198.08/197.85 [10322]P1(f326(x103221,f574(x103222,x103223,x103221,x103224)))+~P1(f326(f61(x103224),f326(f261(x103224),x103221)))+P1(f326(f61(x103223),f326(f261(x103223),f326(f326(f10(f939(x103224,a927),a927,x103223),f86(x103224)),f326(f326(f10(f939(x103224,a927),f939(x103224,a927),x103223),f326(f20(x103224,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103224),a324),x103221))),x103222)))))
% 198.08/197.85 [10340]~P1(f326(f61(x103402),f326(f261(x103402),x103403)))+~P1(f326(f61(x103401),f326(f261(x103401),f326(f326(f9(x103401,x103402,a927),x103404),f574(x103404,x103401,x103403,x103402)))))+P1(f326(f61(x103401),f326(f261(x103401),f326(f326(f10(f939(x103402,a927),a927,x103401),f86(x103402)),f326(f326(f10(f939(x103402,a927),f939(x103402,a927),x103401),f326(f20(x103402,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103402),a324),x103403))),x103404)))))
% 198.08/197.85 [10412]~P1(f326(f61(x104121),x104124))+P1(f326(f326(f328(x104121),f805(x104122,x104123,x104124,x104121)),x104124))+P1(f326(f61(x104123),f326(f261(x104123),f326(f326(f10(f939(x104121,a927),a927,x104123),f86(x104121)),f326(f326(f10(f939(x104121,a927),f939(x104121,a927),x104123),f326(f20(x104121,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104121),a324),f326(f326(f9(x104121,f939(x104121,a927),a927),f328(x104121)),x104124)))),x104122)))))
% 198.08/197.85 [10418]~P1(f326(f61(x104182),x104183))+~P1(f326(f61(x104181),f326(f261(x104181),f326(f326(f9(x104181,x104182,a927),x104184),f805(x104184,x104181,x104183,x104182)))))+P1(f326(f61(x104181),f326(f261(x104181),f326(f326(f10(f939(x104182,a927),a927,x104181),f86(x104182)),f326(f326(f10(f939(x104182,a927),f939(x104182,a927),x104181),f326(f20(x104182,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104182),a324),f326(f326(f9(x104182,f939(x104182,a927),a927),f328(x104182)),x104183)))),x104184)))))
% 198.08/197.85 [5282]~E(x52822,x52824)+E(f169(x52821,x52822,x52823),f169(x52821,x52824,x52825))+~E(x52822,f2(a931))
% 198.08/197.85 [5535]E(x55351,x55352)+~E(f169(x55354,x55353,x55351),f169(x55354,x55355,x55352))+E(x55353,f2(a931))
% 198.08/197.85 [6090]~E(x60905,x60902)+P45(f29(x60901,x60903),x60902,x60904,x60905)+P1(f326(x60901,x60902))
% 198.08/197.85 [6659]E(x66591,x66592)+~P45(f29(x66593,x66594),x66591,x66595,x66592)+P1(f326(x66593,x66591))
% 198.08/197.85 [8176]~P45(x81762,x81763,x81764,x81765)+~P45(f29(x81761,x81762),x81765,x81764,x81763)+P45(f29(x81761,x81762),x81763,x81764,x81763)
% 198.08/197.85 [9409]E(x94091,x94092)+~P45(f29(x94095,x94093),x94091,x94094,x94092)+P45(x94093,x94091,x94094,f398(x94092,x94094,x94091,x94093,x94095))
% 198.08/197.85 [9411]E(x94111,x94112)+P45(f29(x94113,x94114),f398(x94111,x94115,x94112,x94114,x94113),x94115,x94111)+~P45(f29(x94113,x94114),x94112,x94115,x94111)
% 198.08/197.85 [9415]~P45(f29(x94155,x94151),x94152,x94153,x94154)+P45(x94151,x94152,x94153,f398(x94154,x94153,x94152,x94151,x94155))+~P1(f326(x94155,x94152))
% 198.08/197.85 [9422]~P45(f29(x94221,x94222),x94225,x94224,x94223)+P45(f29(x94221,x94222),f398(x94223,x94224,x94225,x94222,x94221),x94224,x94223)+~P1(f326(x94221,x94225))
% 198.08/197.85 [6805]E(x68051,x68052)+~E(f326(x68053,x68051),f326(x68053,x68052))+~P27(x68054,x68055,x68053,f241(f939(x68054,a927)))
% 198.08/197.85 [7715]E(x77151,x77152)+~P27(x77153,x77154,x77155,f241(f939(x77153,a927)))+~E(f326(f309(x77153,x77154,x77155),x77151),f326(f309(x77153,x77154,x77155),x77152))
% 198.08/197.85 [7966]P27(x79662,x79663,f510(x79664,x79663,x79662,x79661),x79661)+~E(f326(f309(x79663,x79662,x79665),x79664),x79661)+E(x79661,f188(f939(x79662,a927)))
% 198.08/197.85 [8506]~P1(f326(f326(x85063,x85062),x85065))+~P1(f326(f326(x85063,x85064),x85062))+P1(f326(f326(f328(x85061),x85062),f298(x85061,x85063,x85064,x85065)))
% 198.08/197.85 [8507]~P1(f326(f326(x85073,x85072),x85075))+~P1(f326(f326(x85073,x85074),x85072))+P1(f326(f326(f328(x85071),x85072),f289(x85071,x85073,x85074,x85075)))
% 198.08/197.85 [8811]~P27(x88111,x88112,x88113,x88114)+P28(x88111,x88112,x88113,x88114,x88115)+~E(f326(f309(x88111,x88112,x88113),x88114),x88115)
% 198.08/197.85 [8944]~P28(x89441,x89443,x89444,x89442,x89445)+~P1(f326(f61(x89443),x89445))+P1(f326(f61(x89441),x89442))
% 198.08/197.85 [8945]~P28(x89453,x89451,x89454,x89455,x89452)+~P1(f326(f61(x89453),x89455))+P1(f326(f61(x89451),x89452))
% 198.08/197.85 [9077]~P27(x90771,x90773,x90775,f241(f939(x90771,a927)))+~P27(x90773,x90772,x90774,f241(f939(x90773,a927)))+P27(x90771,x90772,f326(f72(x90773,x90772,x90771,x90774),x90775),f241(f939(x90771,a927)))
% 198.08/197.85 [9651]P1(f326(f326(f328(f938(x96511,x96511)),f326(f326(f251(x96511,x96511),x96512),x96513)),f306(x96511,x96514)))+~P1(f326(f326(f328(f938(x96511,x96511)),f326(f326(f251(x96511,x96511),x96512),x96515)),f306(x96511,x96514)))+~P1(f326(f326(f328(f938(x96511,x96511)),f326(f326(f251(x96511,x96511),x96515),x96513)),f306(x96511,x96514)))
% 198.08/197.85 [9691]~P111(x96912)+~P1(f326(f137(x96911),x96915))+P1(f326(f137(x96911),f149(x96911,x96912,x96913,x96914,x96915)))
% 198.08/197.85 [5609]~E(x56092,f113(x56091))+E(f326(f326(f134(x56091),x56092),x56093),f326(f326(f151(x56091),x56094),x56095))+~E(x56093,f326(f326(f151(x56091),x56094),x56095))
% 198.08/197.85 [5610]~E(x56102,f113(x56101))+E(f326(f326(f134(x56101),x56102),x56103),f326(f326(f151(x56101),x56104),x56105))+~E(f326(f326(f151(x56101),x56104),x56105),x56103)
% 198.08/197.85 [6761]~E(f326(f189(f932(x67611)),x67615),f326(f189(f932(x67612)),x67614))+E(f326(f326(f154(f938(x67611,x67612),x67612),f255(x67611,x67612)),x67613),x67614)+~E(f326(f326(f181(x67611,x67612),x67615),x67614),x67613)
% 198.08/197.85 [6762]~E(f326(f189(f932(x67621)),x67624),f326(f189(f932(x67622)),x67625))+E(f326(f326(f154(f938(x67621,x67622),x67621),f250(x67621,x67622)),x67623),x67624)+~E(f326(f326(f181(x67621,x67622),x67624),x67625),x67623)
% 198.08/197.85 [7238]~P111(x72381)+~P15(x72381,f326(f326(f154(x72382,x72381),x72383),x72385))+P15(x72381,f326(f326(f154(x72382,x72381),x72383),f326(f136(x72382,x72384),x72385)))
% 198.08/197.85 [7281]~P1(f326(x72813,x72815))+~P1(f326(f326(x72812,x72814),x72815))+P1(f326(f326(f92(x72811,x72812,x72813),x72814),x72815))
% 198.08/197.85 [7381]~P111(x73811)+P15(x73811,f326(f326(f154(x73812,x73811),x73813),f170(x73812,x73814,x73815)))+~P15(x73811,f326(f326(f154(x73812,x73811),x73813),x73815))
% 198.08/197.85 [7404]~P59(x74043,x74042,x74045)+~P59(x74041,x74043,x74044)+P59(x74041,x74042,f326(f326(f288(x74041,x74043,x74042),x74044),x74045))
% 198.08/197.85 [7501]E(x75011,x75012)+~P27(x75013,x75014,x75015,f241(f939(x75013,a927)))+~E(f326(f326(f154(x75013,x75014),x75015),x75011),f326(f326(f154(x75013,x75014),x75015),x75012))
% 198.08/197.85 [7583]P45(x75831,x75832,x75833,x75834)+~P45(x75831,x75832,x75835,x75834)+~P1(f326(f326(f234(a931),x75835),x75833))
% 198.08/197.85 [7663]~P1(f326(f326(f234(a931),x76631),f326(x76633,x76635)))+P1(f326(f326(f234(a931),x76631),f155(x76632,x76633,x76634)))+~P1(f326(f326(f328(x76632),x76635),f326(f172(x76632),x76634)))
% 198.08/197.85 [7664]~P1(f326(f326(f235(a931),x76641),f326(x76643,x76645)))+P1(f326(f326(f235(a931),x76641),f155(x76642,x76643,x76644)))+~P1(f326(f326(f328(x76642),x76645),f326(f172(x76642),x76644)))
% 198.08/197.85 [8062]P1(f326(x80621,x80622))+~P1(f326(x80621,x80623))+~P1(f326(f326(f328(x80624),x80622),f326(f172(x80624),f169(x80624,x80625,x80623))))
% 198.08/197.85 [8063]P1(f326(x80631,x80632))+~P1(f326(x80631,x80633))+~P1(f326(f326(f328(x80634),x80633),f326(f172(x80634),f169(x80634,x80635,x80632))))
% 198.08/197.85 [8067]~P112(x80671)+P1(f326(f326(f234(f939(x80671,a927)),f302(x80671,x80672,x80673)),f302(x80671,x80674,x80675)))+P1(f326(f326(f234(x80671),x80672),x80673))
% 198.08/197.85 [8094]~P7(x80941)+P1(f326(f326(f234(x80941),f326(f326(f39(x80942,x80941),x80943),x80944)),f326(x80944,x80945)))+~P1(f326(f326(f328(x80942),x80945),x80943))
% 198.08/197.85 [8163]~P27(x81631,x81632,x81634,x81633)+E(f326(f76(x81631,x81632,x81633,x81634),f326(x81634,x81635)),x81635)+~P1(f326(f326(f328(x81631),x81635),x81633))
% 198.08/197.85 [8164]~P27(x81641,x81642,x81644,x81643)+E(f326(f91(x81641,x81642,x81643,x81644),f326(x81644,x81645)),x81645)+~P1(f326(f326(f328(x81641),x81645),x81643))
% 198.08/197.85 [8365]~P1(f326(x83651,x83655))+P1(f326(x83651,f438(x83651,x83652,x83653,x83654)))+~P1(f326(f326(f328(x83654),x83655),x83653))
% 198.08/197.85 [8366]~P1(f326(x83661,x83665))+P1(f326(x83661,f438(x83661,x83662,x83663,x83664)))+~P1(f326(f326(f328(x83664),x83665),x83662))
% 198.08/197.85 [8460]P1(f326(f61(x84601),x84602))+~P1(f326(f61(x84603),x84604))+~P1(f326(f326(f234(f939(x84601,a927)),x84602),f326(f309(x84603,x84601,x84605),x84604)))
% 198.08/197.85 [8626]E(x86261,x86262)+~P27(x86263,x86264,x86265,f326(f326(f110(f939(x86263,a927)),f326(f172(x86263),x86261)),f326(f172(x86263),x86262)))+~E(f326(f326(f154(x86263,x86264),x86265),x86261),f326(f326(f154(x86263,x86264),x86265),x86262))
% 198.08/197.85 [8680]~P112(x86801)+~P1(f326(f326(f235(f939(x86801,a927)),f302(x86801,x86804,x86805)),f302(x86801,x86802,x86803)))+P1(f326(f326(f234(x86801),x86802),x86803))
% 198.08/197.85 [8741]~P27(x87411,x87414,x87415,f241(f939(x87411,a927)))+~P1(f326(f326(f328(x87414),f326(x87415,x87412)),f326(f309(x87411,x87414,x87415),x87413)))+P1(f326(f326(f328(x87411),x87412),x87413))
% 198.08/197.85 [8817]P1(f326(x88171,x88172))+~P1(f326(x88171,f456(x88171,x88173,x88174,x88175)))+~P1(f326(f326(f328(x88175),x88172),x88174))
% 198.08/197.85 [8818]P1(f326(x88181,x88182))+~P1(f326(x88181,f456(x88181,x88183,x88184,x88185)))+~P1(f326(f326(f328(x88185),x88182),x88183))
% 198.08/197.85 [9118]~P27(x91182,x91183,x91181,x91184)+E(f326(x91181,f326(f76(x91182,x91183,x91184,x91181),x91185)),x91185)+~P1(f326(f326(f328(x91183),x91185),f326(f309(x91182,x91183,x91181),x91184)))
% 198.08/197.85 [9222]E(x92221,f113(x92222))+E(f326(f326(f151(x92222),x92223),f692(x92224,x92223,x92225,x92221,x92222)),x92221)+~E(f326(f326(f134(x92222),x92221),x92225),f326(f326(f151(x92222),x92223),x92224))
% 198.08/197.85 [9223]E(x92231,f113(x92232))+E(f326(f326(f151(x92232),x92233),f693(x92234,x92231,x92235,x92233,x92232)),x92231)+~E(f326(f326(f134(x92232),x92231),x92234),f326(f326(f151(x92232),x92233),x92235))
% 198.08/197.85 [9241]E(f326(f326(f151(x92412),x92413),f692(x92414,x92413,x92411,x92415,x92412)),x92415)+~E(f326(f326(f134(x92412),x92415),x92411),f326(f326(f151(x92412),x92413),x92414))+E(x92411,f326(f326(f151(x92412),x92413),x92414))
% 198.08/197.85 [9242]E(f326(f326(f151(x92421),x92422),f693(x92424,x92425,x92423,x92422,x92421)),x92425)+~E(f326(f326(f134(x92421),x92425),x92424),f326(f326(f151(x92421),x92422),x92423))+E(f326(f326(f151(x92421),x92422),x92423),x92424)
% 198.08/197.85 [9318]~E(f326(f309(x93183,x93182,x93184),f241(f939(x93183,a927))),f241(f939(x93182,a927)))+~E(f326(f309(x93181,x93183,x93185),f241(f939(x93181,a927))),f241(f939(x93183,a927)))+E(f326(f309(x93181,x93182,f326(f72(x93183,x93182,x93181,x93184),x93185)),f241(f939(x93181,a927))),f241(f939(x93182,a927)))
% 198.08/197.85 [9697]E(x96971,f113(x96972))+~E(f326(f326(f134(x96972),x96971),x96973),f326(f326(f151(x96972),x96975),x96974))+E(f326(f326(f134(x96972),f693(x96973,x96971,x96974,x96975,x96972)),x96973),x96974)
% 198.08/197.85 [9698]E(x96981,f113(x96982))+~E(f326(f326(f134(x96982),x96981),x96985),f326(f326(f151(x96982),x96984),x96983))+E(f326(f326(f134(x96982),f692(x96983,x96984,x96985,x96981,x96982)),x96985),x96983)
% 198.08/197.85 [9706]E(f326(f326(f134(x97062),f692(x97064,x97063,x97061,x97065,x97062)),x97061),x97064)+~E(f326(f326(f134(x97062),x97065),x97061),f326(f326(f151(x97062),x97063),x97064))+E(x97061,f326(f326(f151(x97062),x97063),x97064))
% 198.08/197.85 [9707]~E(f326(f326(f134(x97071),x97075),x97074),f326(f326(f151(x97071),x97072),x97073))+E(f326(f326(f134(x97071),f693(x97074,x97075,x97073,x97072,x97071)),x97074),x97073)+E(f326(f326(f151(x97071),x97072),x97073),x97074)
% 198.08/197.85 [9708]E(f326(f326(f134(x97081),x97085),f696(x97083,x97082,x97084,x97085,x97081)),x97082)+E(f326(f326(f134(x97081),x97082),f695(x97083,x97082,x97084,x97085,x97081)),x97085)+~E(f326(f326(f134(x97081),x97085),x97084),f326(f326(f134(x97081),x97082),x97083))
% 198.08/197.85 [9744]~P111(x97441)+P15(x97441,f326(f326(f154(x97442,x97441),x97443),f149(x97442,x97441,x97443,x97444,x97445)))+~P15(x97441,f326(f326(f154(x97442,x97441),x97443),x97445))
% 198.08/197.85 [9758]~P63(x97585,x97581,x97584,x97583)+P1(f326(f326(x97581,x97582),f546(x97583,x97584,x97581,x97585,x97582)))+~P1(f326(f326(f328(x97585),x97582),x97584))
% 198.08/197.85 [9759]~P63(x97595,x97591,x97594,x97593)+P1(f326(f326(x97591,x97592),f811(x97593,x97594,x97591,x97595,x97592)))+~P1(f326(f326(f328(x97595),x97592),x97594))
% 198.08/197.85 [9863]~P1(f326(f326(f328(f938(x98631,x98631)),f326(f326(f251(x98631,x98631),x98635),x98633)),f306(x98631,x98634)))+P1(f326(f326(f328(f938(x98631,x98631)),f326(f326(f251(x98631,x98631),x98632),x98633)),f326(f326(f288(x98631,x98631,x98631),x98634),f306(x98631,x98634))))+~P1(f326(f326(f328(f938(x98631,x98631)),f326(f326(f251(x98631,x98631),x98632),x98635)),f326(f326(f288(x98631,x98631,x98631),x98634),f306(x98631,x98634))))
% 198.08/197.85 [9864]~P1(f326(f326(f328(f938(x98641,x98641)),f326(f326(f251(x98641,x98641),x98642),x98645)),f306(x98641,x98644)))+P1(f326(f326(f328(f938(x98641,x98641)),f326(f326(f251(x98641,x98641),x98642),x98643)),f326(f326(f288(x98641,x98641,x98641),x98644),f306(x98641,x98644))))+~P1(f326(f326(f328(f938(x98641,x98641)),f326(f326(f251(x98641,x98641),x98645),x98643)),f326(f326(f288(x98641,x98641,x98641),x98644),f306(x98641,x98644))))
% 198.08/197.85 [9866]P1(f326(f326(f328(f938(f932(x98661),f932(x98661))),f326(f326(f251(f932(x98661),f932(x98661)),x98662),x98663)),f158(x98661,f306(x98661,x98664))))+~P1(f326(f326(f328(f938(f932(x98661),f932(x98661))),f326(f326(f251(f932(x98661),f932(x98661)),x98662),x98665)),f158(x98661,f306(x98661,x98664))))+~P1(f326(f326(f328(f938(f932(x98661),f932(x98661))),f326(f326(f251(f932(x98661),f932(x98661)),x98665),x98663)),f158(x98661,f306(x98661,x98664))))
% 198.08/197.85 [9870]E(f326(f326(f134(x98701),x98702),f695(x98703,x98702,x98704,x98705,x98701)),x98705)+E(f326(f326(f134(x98701),f696(x98703,x98702,x98704,x98705,x98701)),x98703),x98704)+~E(f326(f326(f134(x98701),x98702),x98703),f326(f326(f134(x98701),x98705),x98704))
% 198.08/197.85 [9871]E(f326(f326(f134(x98711),x98712),f696(x98713,x98714,x98715,x98712,x98711)),x98714)+E(f326(f326(f134(x98711),f695(x98713,x98714,x98715,x98712,x98711)),x98715),x98713)+~E(f326(f326(f134(x98711),x98712),x98715),f326(f326(f134(x98711),x98714),x98713))
% 198.08/197.85 [9926]P1(f326(f326(f328(f938(x99261,x99261)),f326(f326(f251(x99261,x99261),x99262),x99263)),f326(f326(f288(x99261,x99261,x99261),x99264),f306(x99261,x99264))))+~P1(f326(f326(f328(f938(x99261,x99261)),f326(f326(f251(x99261,x99261),x99262),x99265)),f326(f326(f288(x99261,x99261,x99261),x99264),f306(x99261,x99264))))+~P1(f326(f326(f328(f938(x99261,x99261)),f326(f326(f251(x99261,x99261),x99265),x99263)),f326(f326(f288(x99261,x99261,x99261),x99264),f306(x99261,x99264))))
% 198.08/197.85 [9953]P38(x99531,x99532,x99533,x99534,x99535)+~E(f326(f189(f932(x99531)),x99534),f326(f189(f932(x99532)),x99535))+~P1(f326(f326(f256(x99531,x99532,a927),x99533),f710(x99535,x99534,x99533,x99532,x99531)))
% 198.08/197.85 [9954]P38(x99541,x99542,x99543,x99544,x99545)+~E(f326(f189(f932(x99541)),x99544),f326(f189(f932(x99542)),x99545))+~P1(f326(f326(f256(x99541,x99542,a927),x99543),f711(x99543,x99545,x99544,x99542,x99541)))
% 198.08/197.85 [9959]E(f326(f326(f134(x99591),f695(x99592,x99593,x99594,x99595,x99591)),x99594),x99592)+~E(f326(f326(f134(x99591),x99593),x99592),f326(f326(f134(x99591),x99595),x99594))+E(f326(f326(f134(x99591),f696(x99592,x99593,x99594,x99595,x99591)),x99592),x99594)
% 198.08/197.85 [9974]~P111(x99742)+E(f326(f326(f148(x99741,x99742,x99743),x99744),x99745),f326(f326(f151(x99741),x99744),x99745))+P1(f326(f326(f328(x99741),f756(x99744,x99743,x99745,x99741,x99742)),f326(f172(x99741),x99745)))
% 198.08/197.85 [9978]~P63(x99781,x99784,x99783,x99782)+~P1(f326(f326(f328(x99781),x99785),x99783))+P1(f326(f326(f328(x99781),f546(x99782,x99783,x99784,x99781,x99785)),x99782))
% 198.08/197.85 [9979]~P63(x99791,x99794,x99793,x99792)+~P1(f326(f326(f328(x99791),x99795),x99793))+P1(f326(f326(f328(x99791),f811(x99792,x99793,x99794,x99791,x99795)),x99792))
% 198.08/197.85 [10093]~P1(f326(f326(f328(f938(f939(x100931,a927),f939(x100931,a927))),f326(f326(f251(f939(x100931,a927),f939(x100931,a927)),x100934),x100933)),f318(x100931,x100932)))+~P1(f326(f326(f328(x100931),x100935),x100934))+P1(f326(f326(f328(x100931),f620(x100932,x100933,x100934,x100931,x100935)),x100933))
% 198.08/197.85 [10104]~P111(x101042)+E(f326(f326(f148(x101041,x101042,x101043),x101044),x101045),f326(f326(f151(x101041),x101044),x101045))+~P1(f326(f326(f234(x101042),f326(x101043,x101044)),f326(x101043,f756(x101044,x101043,x101045,x101041,x101042))))
% 198.08/197.85 [10153]~P27(x101533,x101534,x101535,f241(f939(x101533,a927)))+P1(f326(x101531,x101532))+~P1(f326(x101531,f326(f91(x101533,x101534,f241(f939(x101533,a927)),x101535),f825(x101532,x101531,x101535,x101534,x101533))))
% 198.08/197.85 [10300]P38(x103001,x103002,x103003,x103004,x103005)+~E(f326(f189(f932(x103001)),x103004),f326(f189(f932(x103002)),x103005))+~P1(f326(f326(x103003,f326(f326(f164(x103001),x103004),f712(x103005,x103004,x103003,x103002,x103001))),f326(f326(f164(x103002),x103005),f712(x103005,x103004,x103003,x103002,x103001))))
% 198.08/197.85 [10301]P38(x103011,x103012,x103013,x103014,x103015)+~E(f326(f189(f932(x103011)),x103014),f326(f189(f932(x103012)),x103015))+~P1(f326(f326(x103013,f326(f326(f164(x103011),x103014),f748(x103013,x103015,x103012,x103014,x103011))),f326(f326(f164(x103012),x103015),f748(x103013,x103015,x103012,x103014,x103011))))
% 198.08/197.85 [6834]~P19(x68342,x68345,x68341)+~P1(f326(f61(x68342),x68344))+E(f326(x68341,f326(f326(f308(x68342),x68343),x68344)),f326(f326(f64(x68342,x68342,x68345),x68343),x68344))
% 198.08/197.85 [6835]~E(x68353,x68354)+~E(x68352,x68355)+E(f326(f326(f308(x68351),x68352),f326(f326(f308(x68351),x68353),f188(f939(x68351,a927)))),f326(f326(f308(x68351),x68354),f326(f326(f308(x68351),x68355),f188(f939(x68351,a927)))))
% 198.08/197.85 [6845]P1(f326(x68452,x68455))+E(f177(x68451,x68452,f326(f326(f134(x68451),x68453),x68454)),f177(x68451,x68452,x68453))+~P1(f326(f326(f328(x68451),x68455),f326(f172(x68451),x68453)))
% 198.08/197.85 [6883]E(f326(x68831,x68832),f188(f939(x68833,a927)))+~E(f326(f326(f40(x68834,f939(x68833,a927)),x68835),x68831),f188(f939(x68833,a927)))+~P1(f326(f326(f328(x68834),x68832),x68835))
% 198.08/197.85 [6884]E(f326(x68841,x68842),f241(f939(x68843,a927)))+~E(f326(f326(f39(x68844,f939(x68843,a927)),x68845),x68841),f241(f939(x68843,a927)))+~P1(f326(f326(f328(x68844),x68842),x68845))
% 198.08/197.85 [7391]~E(x73912,x73914)+~P142(x73911)+E(f326(f326(f79(x73911),f326(f326(f80(x73911),x73912),x73913)),f326(f326(f80(x73911),x73914),x73915)),f326(f326(f79(x73911),f326(f326(f80(x73911),x73912),x73915)),f326(f326(f80(x73911),x73914),x73913)))
% 198.08/197.85 [7453]~P7(x74531)+~P1(f326(f326(f328(x74534),x74533),x74535))+P1(f326(f326(f234(x74531),f326(x74532,x74533)),f326(f326(f40(x74534,x74531),x74535),x74532)))
% 198.08/197.85 [7506]~P110(x75061)+P1(f326(f326(f234(x75061),f326(x75062,x75063)),f326(x75064,x75063)))+~P1(f326(f326(f234(f939(x75065,x75061)),x75062),x75064))
% 198.08/197.85 [7634]E(x76341,x76342)+E(x76343,x76341)+~E(f326(f326(f308(x76344),x76341),f326(f326(f308(x76344),x76345),f188(f939(x76344,a927)))),f326(f326(f308(x76344),x76342),f326(f326(f308(x76344),x76343),f188(f939(x76344,a927)))))
% 198.08/197.85 [7635]E(x76351,x76352)+E(x76353,x76351)+~E(f326(f326(f308(x76354),x76353),f326(f326(f308(x76354),x76352),f188(f939(x76354,a927)))),f326(f326(f308(x76354),x76355),f326(f326(f308(x76354),x76351),f188(f939(x76354,a927)))))
% 198.08/197.85 [7636]E(x76361,x76362)+E(x76361,x76363)+~E(f326(f326(f308(x76364),x76363),f326(f326(f308(x76364),x76362),f188(f939(x76364,a927)))),f326(f326(f308(x76364),x76365),f326(f326(f308(x76364),x76361),f188(f939(x76364,a927)))))
% 198.08/197.85 [7637]E(x76371,x76372)+E(x76371,x76373)+~E(f326(f326(f308(x76374),x76371),f326(f326(f308(x76374),x76375),f188(f939(x76374,a927)))),f326(f326(f308(x76374),x76372),f326(f326(f308(x76374),x76373),f188(f939(x76374,a927)))))
% 198.08/197.85 [8173]P27(x81731,x81732,x81733,x81734)+~P27(x81731,x81732,x81733,x81735)+~P1(f326(f326(f234(f939(x81731,a927)),x81734),x81735))
% 198.08/197.85 [8204]~E(f326(x82043,x82045),x82044)+~P27(x82041,x82042,x82043,f241(f939(x82041,a927)))+E(f326(f91(x82041,x82042,f241(f939(x82041,a927)),x82043),x82044),x82045)
% 198.08/197.85 [8354]E(x83541,x83542)+~E(f326(f309(x83543,x83544,x83545),x83541),f326(f309(x83543,x83544,x83545),x83542))+~P27(x83543,x83544,x83545,f326(f326(f110(f939(x83543,a927)),x83541),x83542))
% 198.08/197.85 [8430]P1(f326(x84302,x84304))+E(f326(f326(f138(x84301),f326(f189(f932(x84301)),f177(x84301,x84302,x84303))),x84303),f326(f326(f151(x84301),x84304),x84305))+~E(f326(f326(f134(x84301),f177(x84301,x84302,x84303)),f326(f326(f151(x84301),x84304),x84305)),x84303)
% 198.08/197.85 [8458]~P27(x84581,x84582,x84583,x84585)+~P27(x84581,x84582,x84583,x84584)+P27(x84581,x84582,x84583,f326(f326(f101(f939(x84581,a927)),x84584),x84585))
% 198.08/197.85 [8565]~P79(x85651)+E(f326(f326(f79(x85651),f326(x85652,x85653)),f326(f165(x85651),f326(f326(f154(x85654,x85651),x85652),f170(x85654,x85653,x85655)))),f326(f165(x85651),f326(f326(f154(x85654,x85651),x85652),x85655)))+~P1(f326(f326(f328(x85654),x85653),f326(f172(x85654),x85655)))
% 198.08/197.85 [8653]~P111(x86531)+~P15(x86531,f326(f326(f154(x86532,x86531),x86533),x86535))+P15(x86531,f326(f326(f154(x86532,x86531),x86533),f326(f326(f148(x86532,x86531,x86533),x86534),x86535)))
% 198.08/197.85 [8737]~P7(x87371)+P1(f326(f326(f234(x87371),f326(f326(f39(x87372,x87371),x87373),x87374)),f326(f326(f39(x87372,x87371),x87375),x87374)))+~P1(f326(f326(f234(f939(x87372,a927)),x87375),x87373))
% 198.08/197.85 [8738]~P7(x87381)+P1(f326(f326(f234(x87381),f326(f326(f40(x87382,x87381),x87383),x87384)),f326(f326(f40(x87382,x87381),x87385),x87384)))+~P1(f326(f326(f234(f939(x87382,a927)),x87383),x87385))
% 198.08/197.85 [8771]~P111(x87713)+P1(f326(f137(x87711),x87712))+~P1(f326(f137(x87711),f326(f326(f148(x87711,x87713,x87714),x87715),x87712)))
% 198.08/197.85 [8916]~P111(x89161)+~P1(f326(f326(f328(x89162),x89163),f326(f172(x89162),x89164)))+~P1(f326(f137(x89162),f326(f326(f148(x89162,x89161,x89165),x89163),x89164)))
% 198.08/197.85 [9006]~P111(x90061)+P15(x90061,f326(f326(f154(x90062,x90061),x90063),x90064))+~P15(x90061,f326(f326(f154(x90062,x90061),x90063),f326(f326(f148(x90062,x90061,x90063),x90065),x90064)))
% 198.08/197.85 [9052]~P27(x90522,x90521,x90524,x90523)+E(f326(f309(x90521,x90522,f91(x90522,x90521,x90523,x90524)),f326(f309(x90522,x90521,x90524),x90525)),x90525)+~P1(f326(f326(f234(f939(x90522,a927)),x90525),x90523))
% 198.08/197.85 [9106]~P111(x91062)+E(f326(f326(f148(x91061,x91062,x91063),x91064),x91065),f149(x91061,x91062,x91063,x91064,x91065))+P1(f326(f326(f328(x91062),f326(x91063,x91064)),f326(f309(x91061,x91062,x91063),f326(f172(x91061),x91065))))
% 198.08/197.85 [9188]~P111(x91882)+E(f149(x91881,x91882,x91883,x91884,x91885),x91885)+~P1(f326(f326(f328(x91882),f326(x91883,x91884)),f326(f309(x91881,x91882,x91883),f326(f172(x91881),x91885))))
% 198.08/197.85 [9202]~P27(x92022,x92021,x92023,x92025)+P1(f326(f326(f235(f939(x92021,a927)),f326(f309(x92022,x92021,x92023),x92024)),f326(f309(x92022,x92021,x92023),x92025)))+~P1(f326(f326(f235(f939(x92022,a927)),x92024),x92025))
% 198.08/197.85 [9359]~P27(x93591,x93592,x93593,f241(f939(x93591,a927)))+~P1(f326(f326(f234(f939(x93592,a927)),x93594),f326(f309(x93591,x93592,x93593),x93595)))+P1(f326(f326(f234(f939(x93591,a927)),f326(f310(x93591,x93592,x93593),x93594)),x93595))
% 198.08/197.85 [9382]~E(f326(f309(x93823,x93821,x93824),f241(f939(x93823,a927))),f241(f939(x93821,a927)))+P1(f326(f326(f234(f939(x93821,a927)),x93822),f326(f309(x93823,x93821,x93824),x93825)))+~P1(f326(f326(f234(f939(x93823,a927)),f326(f310(x93823,x93821,x93824),x93822)),x93825))
% 198.08/197.85 [9497]~P27(x94971,x94974,x94975,f241(f939(x94971,a927)))+~P1(f326(f326(f234(f939(x94974,a927)),f326(f309(x94971,x94974,x94975),x94972)),f326(f309(x94971,x94974,x94975),x94973)))+P1(f326(f326(f234(f939(x94971,a927)),x94972),x94973))
% 198.08/197.85 [9619]~P86(x96191)+~E(f326(x96193,f732(x96193,x96194,x96195,x96192,x96191)),f2(x96191))+E(f326(f165(x96191),f326(f326(f154(x96192,x96191),x96193),f326(f136(x96192,x96194),x96195))),f326(f165(x96191),f326(f326(f154(x96192,x96191),x96193),x96195)))
% 198.08/197.85 [9646]~P28(x96461,x96462,x96463,f241(f939(x96461,a927)),f241(f939(x96462,a927)))+~P1(f326(f326(f234(f939(x96462,a927)),x96464),f326(f309(x96461,x96462,x96463),x96465)))+P1(f326(f326(f234(f939(x96461,a927)),f326(f310(x96461,x96462,x96463),x96464)),x96465))
% 198.08/197.85 [9675]~P28(x96753,x96751,x96754,f241(f939(x96753,a927)),f241(f939(x96751,a927)))+P1(f326(f326(f234(f939(x96751,a927)),x96752),f326(f309(x96753,x96751,x96754),x96755)))+~P1(f326(f326(f234(f939(x96753,a927)),f326(f310(x96753,x96751,x96754),x96752)),x96755))
% 198.08/197.85 [9803]~P18(x98031,x98032,x98033)+~P1(f326(f61(x98031),x98035))+P1(f326(f66(x98031,x98032,x98033,x98034,x98035),f326(f326(f64(x98031,x98032,x98033),x98034),x98035)))
% 198.08/197.85 [9884]~P28(x98842,x98841,x98844,f241(f939(x98842,a927)),f241(f939(x98841,a927)))+~P28(x98841,x98843,x98845,f241(f939(x98841,a927)),f241(f939(x98843,a927)))+E(f326(f72(x98841,x98842,x98843,f91(x98842,x98841,f241(f939(x98842,a927)),x98844)),f91(x98841,x98843,f241(f939(x98841,a927)),x98845)),f91(x98842,x98843,f241(f939(x98842,a927)),f326(f72(x98841,x98843,x98842,x98845),x98844)))
% 198.08/197.85 [9885]P1(f326(x98851,f656(x98852,x98851,x98853,x98854,x98855)))+~P1(f326(f326(f234(f939(x98855,a927)),x98854),x98853))+P1(f326(f326(f234(f939(x98855,a927)),f326(f326(f101(f939(x98855,a927)),x98854),f326(f261(x98855),x98851))),f326(f326(f101(f939(x98855,a927)),x98853),f326(f261(x98855),x98852))))
% 198.08/197.85 [9899]~P86(x98991)+~P1(f326(x98994,f732(x98993,x98994,x98995,x98992,x98991)))+E(f326(f165(x98991),f326(f326(f154(x98992,x98991),x98993),f326(f136(x98992,x98994),x98995))),f326(f165(x98991),f326(f326(f154(x98992,x98991),x98993),x98995)))
% 198.08/197.85 [9976]~P7(x99765)+P1(f326(f326(f328(x99761),f433(x99762,x99763,x99761,x99764,x99765)),x99763))+P1(f326(f326(f234(x99765),x99764),f326(f326(f39(x99761,x99765),x99763),x99762)))
% 198.08/197.85 [9980]~P86(x99801)+E(f326(f165(x99801),f326(f326(f154(x99802,x99801),x99803),f326(f136(x99802,x99804),x99805))),f326(f165(x99801),f326(f326(f154(x99802,x99801),x99803),x99805)))+P1(f326(f326(f328(x99802),f732(x99803,x99804,x99805,x99802,x99801)),f326(f172(x99802),x99805)))
% 198.08/197.85 [9990]~P1(f326(x99905,f656(x99905,x99903,x99904,x99902,x99901)))+~P1(f326(f326(f234(f939(x99901,a927)),x99902),x99904))+P1(f326(f326(f234(f939(x99901,a927)),f326(f326(f101(f939(x99901,a927)),x99902),f326(f261(x99901),x99903))),f326(f326(f101(f939(x99901,a927)),x99904),f326(f261(x99901),x99905))))
% 198.08/197.85 [10006]~P27(x100065,x100063,x100064,f241(f939(x100065,a927)))+P1(f326(x100061,x100062))+P1(f326(f326(f328(x100063),f825(x100062,x100061,x100064,x100063,x100065)),f326(f309(x100065,x100063,x100064),f241(f939(x100065,a927)))))
% 198.08/197.85 [10029]P38(x100291,x100292,x100293,x100294,x100295)+~E(f326(f189(f932(x100292)),x100295),f326(f189(f932(x100291)),x100294))+P1(f326(f326(f235(a931),f712(x100295,x100294,x100293,x100292,x100291)),f326(f189(f932(x100291)),x100294)))
% 198.08/197.85 [10030]P38(x100301,x100302,x100303,x100304,x100305)+~E(f326(f189(f932(x100302)),x100305),f326(f189(f932(x100301)),x100304))+P1(f326(f326(f235(a931),f748(x100303,x100305,x100302,x100304,x100301)),f326(f189(f932(x100301)),x100304)))
% 198.08/197.85 [10061]P1(f326(f326(f328(x100611),f656(x100612,x100613,x100614,x100615,x100611)),x100615))+~P1(f326(f326(f234(f939(x100611,a927)),x100615),x100614))+P1(f326(f326(f234(f939(x100611,a927)),f326(f326(f101(f939(x100611,a927)),x100615),f326(f261(x100611),x100613))),f326(f326(f101(f939(x100611,a927)),x100614),f326(f261(x100611),x100612))))
% 198.08/197.85 [10105]~P7(x101051)+~P1(f326(f326(f234(x101051),x101052),f326(x101055,f433(x101055,x101054,x101053,x101052,x101051))))+P1(f326(f326(f234(x101051),x101052),f326(f326(f39(x101053,x101051),x101054),x101055)))
% 198.08/197.85 [10142]~P75(x101421)+~P1(f326(f61(x101422),x101425))+E(f326(f326(f326(f65(x101421,x101422,f80(x101421)),f326(f326(f20(x101422,x101421,x101421),f326(f326(f10(x101421,f939(x101421,x101421),x101422),f80(x101421)),x101423)),x101424)),f77(x101421)),x101425),f326(f326(f80(x101421),f326(f326(f326(f65(x101421,x101422,f80(x101421)),x101423),f77(x101421)),x101425)),f326(f326(f326(f65(x101421,x101422,f80(x101421)),x101424),f77(x101421)),x101425)))
% 198.08/197.85 [10197]~P1(f326(f326(f328(f938(f939(x101971,a927),f939(x101971,a927))),f326(f326(f251(f939(x101971,a927),f939(x101971,a927)),x101975),x101974)),f318(x101971,x101973)))+~P1(f326(f326(f328(x101971),x101972),x101975))+P1(f326(f326(f328(f938(x101971,x101971)),f326(f326(f251(x101971,x101971),x101972),f620(x101973,x101974,x101975,x101971,x101972))),x101973))
% 198.08/197.85 [10337]~P1(f326(f326(f328(f938(f932(x103371),f932(x103371))),f326(f326(f251(f932(x103371),f932(x103371)),f326(f326(f134(x103371),x103375),x103372)),f326(f326(f134(x103371),x103375),x103373))),f147(x103371,x103374)))+P1(f326(f326(f328(f938(f932(x103371),f932(x103371))),f326(f326(f251(f932(x103371),f932(x103371)),x103372),x103373)),f147(x103371,x103374)))+P1(f326(f326(f328(f938(x103371,x103371)),f326(f326(f251(x103371,x103371),f701(x103374,x103373,x103372,x103375,x103371)),f701(x103374,x103373,x103372,x103375,x103371))),x103374))
% 198.08/197.85 [7509]~E(x75093,x75095)+E(f326(f326(f164(x75091),f326(f326(f159(x75091,x75092),x75093),x75094)),x75095),x75094)+~P1(f326(f326(f235(a931),x75093),f326(f189(f932(x75091)),x75092)))
% 198.08/197.85 [7630]~E(f326(f326(f134(x76301),x76302),x76304),f326(f326(f134(x76301),x76303),x76305))+E(f326(f326(f175(x76301),f326(f189(f932(x76301)),x76302)),x76303),x76302)+P1(f326(f326(f234(a931),f326(f189(f932(x76301)),x76303)),f326(f189(f932(x76301)),x76302)))
% 198.08/197.85 [8134]~E(f326(f326(f134(x81341),x81342),x81344),f326(f326(f134(x81341),x81343),x81345))+E(f326(f326(f175(x81341),f326(f189(f932(x81341)),x81342)),x81343),x81342)+~P1(f326(f326(f234(a931),f326(f189(f932(x81341)),x81342)),f326(f189(f932(x81341)),x81343)))
% 198.08/197.85 [8158]~P1(f326(f61(x81581),f326(x81584,x81585)))+~P1(f326(f326(f328(x81582),x81585),x81583))+P1(f326(f61(x81581),f326(f326(f39(x81582,f939(x81581,a927)),x81583),x81584)))
% 198.08/197.85 [8337]~P57(x83371,x83373,x83375)+~P57(x83371,x83372,x83374)+P57(x83371,f326(f326(f110(f939(x83371,a927)),x83372),x83373),f326(f326(f110(f939(f938(x83371,x83371),a927)),x83374),x83375))
% 198.08/197.85 [8338]~P57(x83381,x83383,x83385)+~P57(x83381,x83382,x83384)+P57(x83381,f326(f326(f101(f939(x83381,a927)),x83382),x83383),f326(f326(f101(f939(f938(x83381,x83381),a927)),x83384),x83385))
% 198.08/197.85 [8692]E(f326(f326(f251(x86921,x86922),f326(f326(f164(x86921),x86923),x86924)),f326(f326(f164(x86922),x86925),x86924)),f326(f326(f164(f938(x86921,x86922)),f326(f326(f181(x86921,x86922),x86923),x86925)),x86924))+~P1(f326(f326(f235(a931),x86924),f326(f189(f932(x86921)),x86923)))+~P1(f326(f326(f235(a931),x86924),f326(f189(f932(x86922)),x86925)))
% 198.08/197.85 [8845]~P57(x88451,x88453,x88454)+P1(f326(f326(f328(x88451),x88452),x88453))+~P1(f326(f326(f328(f938(x88451,x88451)),f326(f326(f251(x88451,x88451),x88455),x88452)),x88454))
% 198.08/197.85 [8846]~P57(x88461,x88463,x88464)+P1(f326(f326(f328(x88461),x88462),x88463))+~P1(f326(f326(f328(f938(x88461,x88461)),f326(f326(f251(x88461,x88461),x88462),x88465)),x88464))
% 198.08/197.85 [8847]~P10(x88471,x88473,x88474)+P1(f326(f326(f328(x88471),x88472),x88473))+~P1(f326(f326(f328(f938(x88471,x88471)),f326(f326(f251(x88471,x88471),x88475),x88472)),x88474))
% 198.08/197.85 [8848]~P10(x88481,x88483,x88484)+P1(f326(f326(f328(x88481),x88482),x88483))+~P1(f326(f326(f328(f938(x88481,x88481)),f326(f326(f251(x88481,x88481),x88482),x88485)),x88484))
% 198.08/197.85 [9130]~P10(x91301,x91305,x91302)+E(f326(f284(x91301,x91301,x91302),f326(f326(f308(x91301),x91303),f188(f939(x91301,a927)))),f326(f284(x91301,x91301,x91302),f326(f326(f308(x91301),x91304),f188(f939(x91301,a927)))))+~P1(f326(f326(f328(f938(x91301,x91301)),f326(f326(f251(x91301,x91301),x91303),x91304)),x91302))
% 198.08/197.85 [9315]P1(f326(x93151,x93152))+~P1(f326(f326(f328(x93153),x93152),x93155))+P1(f326(f326(f328(x93153),f456(x93151,x93154,x93155,x93153)),f326(f326(f110(f939(x93153,a927)),x93155),x93154)))
% 198.08/197.85 [9316]P1(f326(x93161,x93162))+~P1(f326(f326(f328(x93163),x93162),x93164))+P1(f326(f326(f328(x93163),f456(x93161,x93164,x93165,x93163)),f326(f326(f110(f939(x93163,a927)),x93165),x93164)))
% 198.08/197.85 [9324]~P1(f326(x93242,x93245))+~P1(f326(f326(f328(x93241),x93245),x93244))+P1(f326(f326(f328(x93241),f438(x93242,x93243,x93244,x93241)),f326(f326(f110(f939(x93241,a927)),x93244),x93243)))
% 198.08/197.85 [9325]~P1(f326(x93252,x93255))+~P1(f326(f326(f328(x93251),x93255),x93253))+P1(f326(f326(f328(x93251),f438(x93252,x93253,x93254,x93251)),f326(f326(f110(f939(x93251,a927)),x93254),x93253)))
% 198.08/197.85 [9340]~P1(f326(f326(f234(f939(x93401,a927)),x93403),x93405))+~P1(f326(f326(f234(f939(x93401,a927)),x93402),x93404))+P1(f326(f326(f234(f939(x93401,a927)),f326(f326(f110(f939(x93401,a927)),x93402),x93403)),f326(f326(f110(f939(x93401,a927)),x93404),x93405)))
% 198.08/197.85 [9341]~P1(f326(f326(f234(f939(x93411,a927)),x93415),x93413))+~P1(f326(f326(f234(f939(x93411,a927)),x93412),x93414))+P1(f326(f326(f234(f939(x93411,a927)),f326(f326(f3(f939(x93411,a927)),x93412),x93413)),f326(f326(f3(f939(x93411,a927)),x93414),x93415)))
% 198.08/197.85 [9342]~P1(f326(f326(f234(f939(x93421,a927)),x93423),x93425))+~P1(f326(f326(f234(f939(x93421,a927)),x93422),x93424))+P1(f326(f326(f234(f939(x93421,a927)),f326(f326(f101(f939(x93421,a927)),x93422),x93423)),f326(f326(f101(f939(x93421,a927)),x93424),x93425)))
% 198.08/197.85 [9444]P1(f326(f326(f328(f938(x94441,x94441)),f326(f326(f251(x94441,x94441),x94442),x94443)),f320(x94441,x94444,x94445)))+~P1(f326(f326(f234(a931),f326(x94444,x94442)),f326(x94444,x94443)))+~P1(f326(f326(f328(f938(x94441,x94441)),f326(f326(f251(x94441,x94441),x94442),x94443)),x94445))
% 198.08/197.85 [9629]P1(f326(f326(f328(f938(x96291,x96291)),f326(f326(f251(x96291,x96291),x96292),x96293)),f306(x96291,x96294)))+~P1(f326(f326(f328(f938(x96291,x96291)),f326(f326(f251(x96291,x96291),x96292),x96295)),f306(x96291,x96294)))+~P1(f326(f326(f328(f938(x96291,x96291)),f326(f326(f251(x96291,x96291),x96295),x96293)),x96294))
% 198.08/197.85 [9630]P1(f326(f326(f328(f938(x96301,x96301)),f326(f326(f251(x96301,x96301),x96302),x96303)),f306(x96301,x96304)))+~P1(f326(f326(f328(f938(x96301,x96301)),f326(f326(f251(x96301,x96301),x96305),x96303)),f306(x96301,x96304)))+~P1(f326(f326(f328(f938(x96301,x96301)),f326(f326(f251(x96301,x96301),x96302),x96305)),x96304))
% 198.08/197.85 [9731]E(x97311,x97312)+E(f326(a112,f639(x97313,x97314,x97311,x97312,x97315)),x97314)+~P1(f326(f326(f328(f938(x97315,x97315)),f326(f326(f251(x97315,x97315),x97312),x97311)),f326(f326(f183(f938(x97315,x97315),a927),x97314),x97313)))
% 198.08/197.85 [9732]E(x97321,x97322)+E(f326(a112,f641(x97323,x97324,x97321,x97322,x97325)),x97324)+~P1(f326(f326(f328(f938(x97325,x97325)),f326(f326(f251(x97325,x97325),x97322),x97321)),f326(f326(f183(f938(x97325,x97325),a927),x97324),x97323)))
% 198.08/197.85 [9733]E(x97331,f2(a931))+E(f326(a112,f639(x97332,x97331,x97333,x97334,x97335)),x97331)+~P1(f326(f326(f328(f938(x97335,x97335)),f326(f326(f251(x97335,x97335),x97334),x97333)),f326(f326(f183(f938(x97335,x97335),a927),x97331),x97332)))
% 198.08/197.85 [9734]E(x97341,f2(a931))+E(f326(a112,f641(x97342,x97341,x97343,x97344,x97345)),x97341)+~P1(f326(f326(f328(f938(x97345,x97345)),f326(f326(f251(x97345,x97345),x97344),x97343)),f326(f326(f183(f938(x97345,x97345),a927),x97341),x97342)))
% 198.08/197.85 [9755]P1(f326(f326(f328(f938(x97551,x97551)),f326(f326(f251(x97551,x97551),x97552),x97553)),f326(f326(f288(x97551,x97551,x97551),x97554),f306(x97551,x97554))))+~P1(f326(f326(f328(f938(x97551,x97551)),f326(f326(f251(x97551,x97551),x97552),x97555)),x97554))+~P1(f326(f326(f328(f938(x97551,x97551)),f326(f326(f251(x97551,x97551),x97555),x97553)),x97554))
% 198.08/197.85 [9762]~P1(f326(f326(f328(f938(x97621,x97621)),f326(f326(f251(x97621,x97621),x97622),x97625)),f306(x97621,x97624)))+P1(f326(f326(f328(f938(x97621,x97621)),f326(f326(f251(x97621,x97621),x97622),x97623)),f326(f326(f288(x97621,x97621,x97621),x97624),f306(x97621,x97624))))+~P1(f326(f326(f328(f938(x97621,x97621)),f326(f326(f251(x97621,x97621),x97625),x97623)),x97624))
% 198.08/197.85 [9797]~P10(x97971,x97975,x97972)+~P1(f326(f326(f328(f938(x97971,x97971)),f326(f326(f251(x97971,x97971),x97973),x97974)),x97972))+P1(f326(f326(f234(f939(x97971,a927)),f326(f284(x97971,x97971,x97972),f326(f326(f308(x97971),x97973),f188(f939(x97971,a927))))),f326(f284(x97971,x97971,x97972),f326(f326(f308(x97971),x97974),f188(f939(x97971,a927))))))
% 198.08/197.85 [9855]P1(f326(f326(f328(f938(x98551,x98551)),f326(f326(f251(x98551,x98551),x98552),x98553)),f326(f326(f288(x98551,x98551,x98551),x98554),f306(x98551,x98554))))+~P1(f326(f326(f328(f938(x98551,x98551)),f326(f326(f251(x98551,x98551),x98552),x98555)),f326(f326(f288(x98551,x98551,x98551),x98554),f306(x98551,x98554))))+~P1(f326(f326(f328(f938(x98551,x98551)),f326(f326(f251(x98551,x98551),x98555),x98553)),x98554))
% 198.08/197.85 [9856]P1(f326(f326(f328(f938(x98561,x98561)),f326(f326(f251(x98561,x98561),x98562),x98563)),f326(f326(f288(x98561,x98561,x98561),x98564),f306(x98561,x98564))))+~P1(f326(f326(f328(f938(x98561,x98561)),f326(f326(f251(x98561,x98561),x98565),x98563)),f326(f326(f288(x98561,x98561,x98561),x98564),f306(x98561,x98564))))+~P1(f326(f326(f328(f938(x98561,x98561)),f326(f326(f251(x98561,x98561),x98562),x98565)),x98564))
% 198.08/197.85 [9908]~P1(f326(f66(x99081,x99081,x99084,x99082,x99083),x99085))+P1(f326(f326(f328(x99081),x99082),x99083))+P1(f326(f62(x99081,x99084,f326(f326(f308(x99081),x99082),x99083)),x99085))
% 198.08/197.85 [9946]~E(f326(f309(x99463,x99462,x99465),x99464),x99461)+E(x99461,f188(f939(x99462,a927)))+P1(f326(f326(f234(f939(x99463,a927)),f326(f309(x99462,x99463,f510(x99464,x99463,x99462,x99461)),x99461)),x99464))
% 198.08/197.85 [9993]~P7(x99935)+P1(f326(f326(f328(x99931),f481(x99932,x99933,x99934,x99931,x99935)),x99934))+P1(f326(f326(f234(x99935),f326(f326(f40(x99931,x99935),x99934),x99933)),x99932))
% 198.08/197.85 [10048]P38(x100481,x100482,x100483,x100484,x100485)+~E(f326(f189(f932(x100481)),x100484),f326(f189(f932(x100482)),x100485))+P1(f326(f326(f328(f938(x100481,x100482)),f710(x100485,x100484,x100483,x100482,x100481)),f326(f172(f938(x100481,x100482)),f326(f326(f181(x100481,x100482),x100484),x100485))))
% 198.08/197.85 [10049]P38(x100491,x100492,x100493,x100494,x100495)+~E(f326(f189(f932(x100491)),x100494),f326(f189(f932(x100492)),x100495))+P1(f326(f326(f328(f938(x100491,x100492)),f711(x100493,x100495,x100494,x100492,x100491)),f326(f172(f938(x100491,x100492)),f326(f326(f181(x100491,x100492),x100494),x100495))))
% 198.08/197.85 [10176]E(x101761,x101762)+P1(f326(f326(f328(f938(x101763,x101763)),f326(f326(f251(x101763,x101763),x101761),f640(x101764,x101765,x101762,x101761,x101763))),x101764))+~P1(f326(f326(f328(f938(x101763,x101763)),f326(f326(f251(x101763,x101763),x101761),x101762)),f326(f326(f183(f938(x101763,x101763),a927),x101765),x101764)))
% 198.08/197.85 [10177]E(x101771,f2(a931))+P1(f326(f326(f328(f938(x101772,x101772)),f326(f326(f251(x101772,x101772),x101773),f640(x101774,x101771,x101775,x101773,x101772))),x101774))+~P1(f326(f326(f328(f938(x101772,x101772)),f326(f326(f251(x101772,x101772),x101773),x101775)),f326(f326(f183(f938(x101772,x101772),a927),x101771),x101774)))
% 198.08/197.85 [10218]~P7(x102181)+~P1(f326(f326(f234(x102181),f326(x102184,f481(x102185,x102184,x102183,x102182,x102181))),x102185))+P1(f326(f326(f234(x102181),f326(f326(f40(x102182,x102181),x102183),x102184)),x102185))
% 198.08/197.85 [10270]E(x102701,x102702)+P1(f326(f326(f328(f938(x102703,x102703)),f326(f326(f251(x102703,x102703),f642(x102704,x102705,x102701,x102702,x102703)),x102701)),x102704))+~P1(f326(f326(f328(f938(x102703,x102703)),f326(f326(f251(x102703,x102703),x102702),x102701)),f326(f326(f183(f938(x102703,x102703),a927),x102705),x102704)))
% 198.08/197.85 [10271]E(x102711,f2(a931))+P1(f326(f326(f328(f938(x102712,x102712)),f326(f326(f251(x102712,x102712),f642(x102713,x102711,x102714,x102715,x102712)),x102714)),x102713))+~P1(f326(f326(f328(f938(x102712,x102712)),f326(f326(f251(x102712,x102712),x102715),x102714)),f326(f326(f183(f938(x102712,x102712),a927),x102711),x102713)))
% 198.08/197.85 [10275]E(x102751,x102752)+P1(f326(f326(f328(f938(x102753,x102753)),f326(f326(f251(x102753,x102753),x102751),f642(x102754,x102755,x102752,x102751,x102753))),f326(f326(f183(f938(x102753,x102753),a927),f641(x102754,x102755,x102752,x102751,x102753)),x102754)))+~P1(f326(f326(f328(f938(x102753,x102753)),f326(f326(f251(x102753,x102753),x102751),x102752)),f326(f326(f183(f938(x102753,x102753),a927),x102755),x102754)))
% 198.08/197.85 [10276]E(x102761,f2(a931))+P1(f326(f326(f328(f938(x102762,x102762)),f326(f326(f251(x102762,x102762),x102763),f642(x102764,x102761,x102765,x102763,x102762))),f326(f326(f183(f938(x102762,x102762),a927),f641(x102764,x102761,x102765,x102763,x102762)),x102764)))+~P1(f326(f326(f328(f938(x102762,x102762)),f326(f326(f251(x102762,x102762),x102763),x102765)),f326(f326(f183(f938(x102762,x102762),a927),x102761),x102764)))
% 198.08/197.85 [10328]E(x103281,x103282)+P1(f326(f326(f328(f938(x103283,x103283)),f326(f326(f251(x103283,x103283),f640(x103284,x103285,x103281,x103282,x103283)),x103281)),f326(f326(f183(f938(x103283,x103283),a927),f639(x103284,x103285,x103281,x103282,x103283)),x103284)))+~P1(f326(f326(f328(f938(x103283,x103283)),f326(f326(f251(x103283,x103283),x103282),x103281)),f326(f326(f183(f938(x103283,x103283),a927),x103285),x103284)))
% 198.08/197.85 [10329]E(x103291,f2(a931))+P1(f326(f326(f328(f938(x103292,x103292)),f326(f326(f251(x103292,x103292),f640(x103293,x103291,x103294,x103295,x103292)),x103294)),f326(f326(f183(f938(x103292,x103292),a927),f639(x103293,x103291,x103294,x103295,x103292)),x103293)))+~P1(f326(f326(f328(f938(x103292,x103292)),f326(f326(f251(x103292,x103292),x103295),x103294)),f326(f326(f183(f938(x103292,x103292),a927),x103291),x103293)))
% 198.08/197.85 [10364]~P79(x103642)+~P1(f326(f61(x103641),x103645))+E(f326(f326(f8(x103641,x103642),f326(f326(f9(x103641,x103642,x103642),f326(f326(f20(x103641,x103642,f939(x103642,x103642)),f326(f326(f10(a927,f939(x103642,f939(x103642,x103642)),x103641),f96(x103642)),f326(f326(f9(x103641,f939(x103641,a927),a927),f328(x103641)),x103643))),x103644)),f2(x103642))),x103645),f326(f326(f8(x103641,x103642),x103644),f326(f326(f101(f939(x103641,a927)),x103645),x103643)))
% 198.08/197.85 [8913]~P79(x89131)+~P1(f326(f61(x89134),x89135))+E(f326(f326(f79(x89131),f326(x89132,x89133)),f326(f326(f8(x89134,x89131),x89132),f326(f326(f3(f939(x89134,a927)),x89135),f326(f326(f308(x89134),x89133),f188(f939(x89134,a927)))))),f326(f326(f8(x89134,x89131),x89132),f326(f326(f308(x89134),x89133),x89135)))
% 198.08/197.85 [8914]~P75(x89141)+~P1(f326(f61(x89144),x89145))+E(f326(f326(f80(x89141),f326(x89142,x89143)),f326(f326(f11(x89144,x89141),x89142),f326(f326(f3(f939(x89144,a927)),x89145),f326(f326(f308(x89144),x89143),f188(f939(x89144,a927)))))),f326(f326(f11(x89144,x89141),x89142),f326(f326(f308(x89144),x89143),x89145)))
% 198.08/197.85 [9248]~P111(x92482)+~P15(x92482,f326(f168(x92482),f326(f326(f154(x92481,x92482),x92484),x92485)))+E(f326(f136(x92481,f326(f326(f10(x92482,a927,x92481),f326(f235(x92482),x92483)),x92484)),x92485),f177(x92481,f326(f326(f10(x92482,a927,x92481),f326(f235(x92482),x92483)),x92484),x92485))
% 198.08/197.85 [9272]~P79(x92721)+E(f326(f326(f79(x92721),f326(f326(f8(a931,x92721),x92722),f302(a931,x92723,x92724))),f326(f326(f8(a931,x92721),x92722),f302(a931,f326(f326(f79(a931),x92724),f77(a931)),f326(f326(f79(a931),x92724),x92725)))),f326(f326(f8(a931,x92721),x92722),f302(a931,x92723,f326(f326(f79(a931),x92724),x92725))))+~P1(f326(f326(f234(a931),x92723),f326(f326(f79(a931),x92724),f77(a931))))
% 198.08/197.85 [9273]~P1(f326(f326(f328(x92731),x92734),x92735))+~P1(f326(f326(f234(f939(x92731,a927)),f326(f172(x92731),x92732)),x92735))+P1(f326(f326(f234(f939(x92731,a927)),f326(f172(x92731),f326(f326(f159(x92731,x92732),x92733),x92734))),x92735))
% 198.08/197.85 [9505]~P7(x95052)+~P1(f326(f61(x95051),x95055))+E(f326(f326(f64(x95051,x95052,f326(f326(f10(x95052,f939(x95052,x95052),x95051),f110(x95052)),x95053)),x95054),x95055),f326(f326(f110(x95052),x95054),f326(f326(f40(x95051,x95052),x95055),x95053)))
% 198.08/197.85 [9506]~P7(x95062)+~P1(f326(f61(x95061),x95065))+E(f326(f326(f64(x95061,x95062,f326(f326(f10(x95062,f939(x95062,x95062),x95061),f101(x95062)),x95063)),x95064),x95065),f326(f326(f101(x95062),x95064),f326(f326(f39(x95061,x95062),x95065),x95063)))
% 198.08/197.85 [9554]E(f326(x95541,x95542),f326(x95541,x95543))+P1(f326(f326(f235(a931),f326(x95541,x95542)),f326(x95541,x95543)))+~P1(f326(f326(f328(f938(x95544,x95544)),f326(f326(f251(x95544,x95544),x95542),x95543)),f153(x95544,f326(f326(f151(f939(x95544,a931)),x95541),x95545))))
% 198.08/197.85 [9587]~E(f326(x95874,x95872),f326(x95874,x95873))+~P1(f326(f326(f328(f938(x95871,x95871)),f326(f326(f251(x95871,x95871),x95872),x95873)),f153(x95871,x95875)))+P1(f326(f326(f328(f938(x95871,x95871)),f326(f326(f251(x95871,x95871),x95872),x95873)),f153(x95871,f326(f326(f151(f939(x95871,a931)),x95874),x95875))))
% 198.08/197.85 [9607]~P27(x96071,x96072,x96073,x96075)+P27(x96071,x96072,x96073,f326(f326(f308(x96071),x96074),x96075))+P1(f326(f326(f328(x96072),f326(x96073,x96074)),f326(f309(x96071,x96072,x96073),f326(f326(f3(f939(x96071,a927)),x96075),f326(f326(f308(x96071),x96074),f188(f939(x96071,a927)))))))
% 198.08/197.85 [9610]P1(f326(x96102,x96105))+~P1(f326(f326(f328(x96101),x96105),f326(f172(x96101),x96103)))+E(f326(f326(f138(x96101),f326(f189(f932(x96101)),f177(x96101,x96102,f326(f326(f134(x96101),x96103),x96104)))),f326(f326(f134(x96101),x96103),x96104)),f326(f326(f134(x96101),f326(f326(f138(x96101),f326(f189(f932(x96101)),f177(x96101,x96102,x96103))),x96103)),x96104))
% 198.08/197.85 [9615]~P1(f326(f326(f328(f938(x96151,x96151)),f326(f326(f251(x96151,x96151),x96152),x96153)),f153(x96151,x96155)))+~P1(f326(f326(f234(a931),f326(x96154,x96152)),f326(x96154,x96153)))+P1(f326(f326(f328(f938(x96151,x96151)),f326(f326(f251(x96151,x96151),x96152),x96153)),f153(x96151,f326(f326(f151(f939(x96151,a931)),x96154),x96155))))
% 198.08/197.85 [9682]P1(f326(f326(f328(f938(x96824,x96824)),f326(f326(f251(x96824,x96824),x96822),x96823)),f153(x96824,x96825)))+P1(f326(f326(f235(a931),f326(x96821,x96822)),f326(x96821,x96823)))+~P1(f326(f326(f328(f938(x96824,x96824)),f326(f326(f251(x96824,x96824),x96822),x96823)),f153(x96824,f326(f326(f151(f939(x96824,a931)),x96821),x96825))))
% 198.08/197.85 [9827]~P1(f326(f326(f328(f938(f932(x98271),f932(x98271))),f326(f326(f251(f932(x98271),f932(x98271)),x98272),x98274)),f158(x98271,x98275)))+~P1(f326(f326(f235(a931),x98273),f326(f189(f932(x98271)),x98272)))+P1(f326(f326(f328(f938(x98271,x98271)),f326(f326(f251(x98271,x98271),f326(f326(f164(x98271),x98272),x98273)),f326(f326(f164(x98271),x98274),x98273))),x98275))
% 198.08/197.85 [10071]E(x100711,f2(a1))+~P1(f326(f49(x100713,x100711),f326(f326(f251(a1,a1),x100714),x100715)))+P1(f326(f49(f326(f326(f80(a1),x100712),x100713),x100711),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f80(a1),x100712),x100714)),f326(f326(f36(a1),f326(f326(f80(a1),x100712),x100715)),x100711))),f45(a1,f326(f326(f80(a1),x100712),x100715),x100711))))
% 198.08/197.85 [10072]~P1(f326(f326(f235(a931),f2(a931)),x100723))+~P1(f326(f48(x100722,x100723),f326(f326(f251(a931,a931),x100724),x100725)))+P1(f326(f48(f326(f326(f80(a931),x100721),x100722),x100723),f326(f326(f251(a931,a931),f326(f326(f79(a931),f326(f326(f80(a931),x100721),x100724)),f326(f326(f36(a931),f326(f326(f80(a931),x100721),x100725)),x100723))),f45(a931,f326(f326(f80(a931),x100721),x100725),x100723))))
% 198.08/197.85 [10387]~P79(x103872)+~P1(f326(f61(x103871),x103874))+E(f326(f326(f8(x103871,x103872),x103873),f326(f261(x103871),f326(f326(f20(x103871,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103871),a324),f326(f326(f9(x103871,f939(x103871,a927),a927),f328(x103871)),x103874))),f326(f326(f9(x103871,f939(x103871,a927),a927),f328(x103871)),x103875)))),f326(f326(f8(x103871,x103872),f326(f326(f9(x103871,x103872,x103872),f326(f326(f20(x103871,x103872,f939(x103872,x103872)),f326(f326(f10(a927,f939(x103872,f939(x103872,x103872)),x103871),f96(x103872)),f326(f326(f9(x103871,f939(x103871,a927),a927),f328(x103871)),x103875))),x103873)),f2(x103872))),x103874))
% 198.08/197.85 [8544]~E(f326(f326(f134(x85441),x85442),x85445),f326(f326(f134(x85441),x85443),x85444))+E(f326(f326(f134(x85441),f326(f326(f138(x85441),f326(f189(f932(x85441)),x85442)),x85443)),x85444),x85445)+P1(f326(f326(f234(a931),f326(f189(f932(x85441)),x85443)),f326(f189(f932(x85441)),x85442)))
% 198.08/197.85 [8740]~E(f326(f326(f134(x87402),x87403),x87401),f326(f326(f134(x87402),x87404),x87405))+E(x87401,f326(f326(f134(x87402),f326(f326(f138(x87402),f326(f189(f932(x87402)),x87403)),x87404)),x87405))+~P1(f326(f326(f234(a931),f326(f189(f932(x87402)),x87403)),f326(f189(f932(x87402)),x87404)))
% 198.08/197.85 [8828]~E(f326(f326(f79(a931),f326(f326(f80(a931),x88283),x88284)),x88281),f326(f326(f79(a931),f326(f326(f80(a931),x88282),x88284)),x88285))+~P1(f326(f326(f234(a931),x88283),x88282))+E(x88281,f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x88282),x88283)),x88284)),x88285))
% 198.08/197.85 [8829]~E(f326(f326(f79(a931),f326(f326(f80(a931),x88291),x88293)),x88294),f326(f326(f79(a931),f326(f326(f80(a931),x88292),x88293)),x88295))+~P1(f326(f326(f234(a931),x88292),x88291))+E(f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x88291),x88292)),x88293)),x88294),x88295)
% 198.08/197.85 [8997]E(f326(f326(f79(a931),f326(f326(f80(a931),x89971),x89972)),x89973),f326(f326(f79(a931),f326(f326(f80(a931),x89974),x89972)),x89975))+~P1(f326(f326(f234(a931),x89974),x89971))+~E(x89975,f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x89971),x89974)),x89972)),x89973))
% 198.08/197.85 [8998]E(f326(f326(f79(a931),f326(f326(f80(a931),x89981),x89982)),x89983),f326(f326(f79(a931),f326(f326(f80(a931),x89984),x89982)),x89985))+~P1(f326(f326(f234(a931),x89984),x89981))+~E(f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x89981),x89984)),x89982)),x89983),x89985)
% 198.08/197.85 [9883]~P68(x98832)+~P1(f326(f61(x98831),x98835))+E(f326(f326(f11(x98831,x98832),f326(f326(f20(x98831,x98832,x98832),f326(f326(f10(x98832,f939(x98832,x98832),x98831),f290(x98832)),x98833)),x98834)),x98835),f326(f326(f290(x98832),f326(f326(f11(x98831,x98832),x98833),x98835)),f326(f326(f11(x98831,x98832),x98834),x98835)))
% 198.08/197.85 [10012]~E(f647(x100125,x100124,x100123,x100122,x100121),f644(x100125,x100124,x100123,x100122,x100121))+P1(f326(f326(f328(f938(x100121,x100121)),f326(f326(f251(x100121,x100121),x100122),x100123)),f306(x100121,x100124)))+~P1(f326(f326(f328(f938(x100121,x100121)),f326(f326(f251(x100121,x100121),x100122),x100123)),f306(x100121,f326(f326(f110(f939(f938(x100121,x100121),a927)),x100124),x100125))))
% 198.08/197.85 [10013]~E(f648(x100135,x100134,x100133,x100132,x100131),f649(x100135,x100134,x100133,x100132,x100131))+P1(f326(f326(f328(f938(x100131,x100131)),f326(f326(f251(x100131,x100131),x100132),x100133)),f306(x100131,x100134)))+~P1(f326(f326(f328(f938(x100131,x100131)),f326(f326(f251(x100131,x100131),x100132),x100133)),f306(x100131,f326(f326(f110(f939(f938(x100131,x100131),a927)),x100134),x100135))))
% 198.08/197.85 [10208]P1(f326(f326(f328(f938(x102081,x102081)),f326(f326(f251(x102081,x102081),x102082),f644(x102085,x102084,x102083,x102082,x102081))),f306(x102081,x102084)))+P1(f326(f326(f328(f938(x102081,x102081)),f326(f326(f251(x102081,x102081),x102082),x102083)),f306(x102081,x102084)))+~P1(f326(f326(f328(f938(x102081,x102081)),f326(f326(f251(x102081,x102081),x102082),x102083)),f306(x102081,f326(f326(f110(f939(f938(x102081,x102081),a927)),x102084),x102085))))
% 198.08/197.85 [10297]P1(f326(f326(f328(f938(x102971,x102971)),f326(f326(f251(x102971,x102971),f649(x102975,x102974,x102973,x102972,x102971)),x102973)),f306(x102971,x102974)))+P1(f326(f326(f328(f938(x102971,x102971)),f326(f326(f251(x102971,x102971),x102972),x102973)),f306(x102971,x102974)))+~P1(f326(f326(f328(f938(x102971,x102971)),f326(f326(f251(x102971,x102971),x102972),x102973)),f306(x102971,f326(f326(f110(f939(f938(x102971,x102971),a927)),x102974),x102975))))
% 198.08/197.85 [10335]P1(f326(f326(f328(f938(x103351,x103351)),f326(f326(f251(x103351,x103351),x103352),x103353)),f306(x103351,x103354)))+P1(f326(f326(f328(f938(x103351,x103351)),f326(f326(f251(x103351,x103351),f644(x103355,x103354,x103353,x103352,x103351)),f647(x103355,x103354,x103353,x103352,x103351))),x103355))+~P1(f326(f326(f328(f938(x103351,x103351)),f326(f326(f251(x103351,x103351),x103352),x103353)),f306(x103351,f326(f326(f110(f939(f938(x103351,x103351),a927)),x103354),x103355))))
% 198.08/197.85 [10336]P1(f326(f326(f328(f938(x103361,x103361)),f326(f326(f251(x103361,x103361),x103362),x103363)),f306(x103361,x103364)))+P1(f326(f326(f328(f938(x103361,x103361)),f326(f326(f251(x103361,x103361),f648(x103365,x103364,x103363,x103362,x103361)),f649(x103365,x103364,x103363,x103362,x103361))),x103365))+~P1(f326(f326(f328(f938(x103361,x103361)),f326(f326(f251(x103361,x103361),x103362),x103363)),f306(x103361,f326(f326(f110(f939(f938(x103361,x103361),a927)),x103364),x103365))))
% 198.08/197.85 [10484]~P1(f326(f326(f328(f938(f932(x104841),f932(x104841))),f326(f326(f251(f932(x104841),f932(x104841)),x104844),x104845)),f158(x104841,x104842)))+~P1(f326(f326(f328(f938(x104841,x104841)),x104843),f326(f172(f938(x104841,x104841)),f326(f326(f181(x104841,x104841),x104844),x104845))))+P1(f326(f326(f256(x104841,x104841,a927),f326(f326(f9(x104841,f939(f938(x104841,x104841),a927),f939(x104841,a927)),f326(f326(f10(f939(x104841,f939(f939(f938(x104841,x104841),a927),a927)),f939(f939(f938(x104841,x104841),a927),f939(x104841,a927)),x104841),f9(x104841,f939(f938(x104841,x104841),a927),a927)),f326(f326(f10(f939(x104841,f938(x104841,x104841)),f939(x104841,f939(f939(f938(x104841,x104841),a927),a927)),x104841),f326(f10(f938(x104841,x104841),f939(f939(f938(x104841,x104841),a927),a927),x104841),f328(f938(x104841,x104841)))),f251(x104841,x104841)))),x104842)),x104843))
% 198.08/197.85 [9912]~P1(f326(f326(f234(a931),x99123),x99122))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),x99123),x99124)),x99121)),f326(f326(f79(a931),f326(f326(f80(a931),x99122),x99124)),x99125)))+P1(f326(f326(f234(a931),x99121),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x99122),x99123)),x99124)),x99125)))
% 198.08/197.85 [9913]~P1(f326(f326(f234(a931),x99133),x99132))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),x99133),x99134)),x99131)),f326(f326(f79(a931),f326(f326(f80(a931),x99132),x99134)),x99135)))+P1(f326(f326(f235(a931),x99131),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x99132),x99133)),x99134)),x99135)))
% 198.08/197.85 [9930]~P1(f326(f326(f234(a931),x99301),x99304))+P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),x99301),x99302)),x99303)),f326(f326(f79(a931),f326(f326(f80(a931),x99304),x99302)),x99305)))+~P1(f326(f326(f234(a931),x99303),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x99304),x99301)),x99302)),x99305)))
% 198.08/197.85 [9931]~P1(f326(f326(f234(a931),x99311),x99314))+P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),x99311),x99312)),x99313)),f326(f326(f79(a931),f326(f326(f80(a931),x99314),x99312)),x99315)))+~P1(f326(f326(f235(a931),x99313),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x99314),x99311)),x99312)),x99315)))
% 198.08/197.85 [10046]~P1(f326(f326(f234(a931),x100462),x100461))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),x100461),x100463)),x100464)),f326(f326(f79(a931),f326(f326(f80(a931),x100462),x100463)),x100465)))+P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x100461),x100462)),x100463)),x100464)),x100465))
% 198.08/197.85 [10047]~P1(f326(f326(f234(a931),x100472),x100471))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),x100471),x100473)),x100474)),f326(f326(f79(a931),f326(f326(f80(a931),x100472),x100473)),x100475)))+P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x100471),x100472)),x100473)),x100474)),x100475))
% 198.08/197.85 [10090]~P1(f326(f326(f234(a931),x100904),x100901))+P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),x100901),x100902)),x100903)),f326(f326(f79(a931),f326(f326(f80(a931),x100904),x100902)),x100905)))+~P1(f326(f326(f234(a931),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x100901),x100904)),x100902)),x100903)),x100905))
% 198.08/197.85 [10091]~P1(f326(f326(f234(a931),x100914),x100911))+P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),x100911),x100912)),x100913)),f326(f326(f79(a931),f326(f326(f80(a931),x100914),x100912)),x100915)))+~P1(f326(f326(f235(a931),f326(f326(f79(a931),f326(f326(f80(a931),f326(f326(f3(a931),x100911),x100914)),x100912)),x100913)),x100915))
% 198.08/197.85 [10323]~P13(x103231,x103232,x103235,x103233)+~P1(f326(f326(f328(f938(x103231,x103231)),x103234),x103235))+P1(f326(f326(f256(x103231,x103231,a927),f326(f326(f9(x103231,f939(x103231,x103232),f939(x103231,a927)),f326(f326(f10(f939(x103232,a927),f939(f939(x103231,x103232),f939(x103231,a927)),x103231),f10(x103232,a927,x103231)),f326(f326(f10(x103232,f939(x103232,a927),x103231),a323),x103233))),x103233)),x103234))
% 198.08/197.85 [7525]~P45(x75254,x75252,x75255,x75256)+P45(f27(x75251,x75253,x75254),x75252,x75255,x75256)+P1(f326(x75251,x75252))
% 198.08/197.85 [7600]~P45(x76002,x76004,x76005,x76006)+P45(f27(x76001,x76002,x76003),x76004,x76005,x76006)+~P1(f326(x76001,x76004))
% 198.08/197.85 [7684]P45(x76843,x76842,x76844,x76845)+~P45(f27(x76841,x76846,x76843),x76842,x76844,x76845)+P1(f326(x76841,x76842))
% 198.08/197.85 [7714]P45(x77141,x77142,x77143,x77144)+~P45(f27(x77145,x77141,x77146),x77142,x77143,x77144)+~P1(f326(x77145,x77142))
% 198.08/197.85 [8081]~P45(x80811,x80813,x80814,x80816)+~P45(x80812,x80816,x80814,x80815)+P45(f30(x80811,x80812),x80813,x80814,x80815)
% 198.08/197.85 [8084]P45(x80841,x80842,x80843,x80844)+P45(x80845,x80842,x80843,x80844)+~P45(f27(x80846,x80841,x80845),x80842,x80843,x80844)
% 198.08/197.85 [8704]~P21(x87046,x87041,x87042,x87044)+E(f326(f72(x87041,x87041,x87041,f326(x87042,x87043)),f326(x87044,x87045)),f326(f72(x87041,x87041,x87041,f326(x87044,x87045)),f326(x87042,x87043)))+~P1(f326(f61(x87046),x87045))
% 198.08/197.85 [9142]~P27(x91421,x91423,x91425,x91426)+~P27(x91423,x91422,x91424,f326(f309(x91421,x91423,x91425),x91426))+P27(x91421,x91422,f326(f72(x91423,x91422,x91421,x91424),x91425),x91426)
% 198.08/197.85 [9715]~P1(f326(f326(x97153,x97152),x97156))+~P1(f326(f326(x97154,x97155),x97152))+P1(f326(f326(f328(x97151),x97152),f299(x97151,x97153,x97154,x97155,x97156)))
% 198.08/197.85 [9716]~P1(f326(f326(x97164,x97162),x97166))+~P1(f326(f326(x97163,x97165),x97162))+P1(f326(f326(f328(x97161),x97162),f296(x97161,x97163,x97164,x97165,x97166)))
% 198.08/197.85 [9828]E(x98281,x98282)+E(x98283,x98284)+~P1(f326(f326(f328(f938(f932(x98285),f932(x98285))),f326(f326(f251(f932(x98285),f932(x98285)),f326(f326(f151(x98285),x98283),x98281)),f326(f326(f151(x98285),x98284),x98282))),f157(x98285,x98286)))
% 198.08/197.85 [9837]~E(x98372,x98374)+P1(f326(f326(f328(f938(f932(x98371),f932(x98371))),f326(f326(f251(f932(x98371),f932(x98371)),f326(f326(f151(x98371),x98372),x98373)),f326(f326(f151(x98371),x98374),x98375))),f145(x98371,x98376)))+~P1(f326(f326(f328(f938(f932(x98371),f932(x98371))),f326(f326(f251(f932(x98371),f932(x98371)),x98373),x98375)),f145(x98371,x98376)))
% 198.08/197.85 [9838]~E(x98382,x98384)+P1(f326(f326(f328(f938(f932(x98381),f932(x98381))),f326(f326(f251(f932(x98381),f932(x98381)),f326(f326(f151(x98381),x98382),x98383)),f326(f326(f151(x98381),x98384),x98385))),f147(x98381,x98386)))+~P1(f326(f326(f328(f938(f932(x98381),f932(x98381))),f326(f326(f251(f932(x98381),f932(x98381)),x98383),x98385)),f147(x98381,x98386)))
% 198.08/197.85 [9839]~E(x98392,x98394)+P1(f326(f326(f328(f938(f932(x98391),f932(x98391))),f326(f326(f251(f932(x98391),f932(x98391)),f326(f326(f151(x98391),x98392),x98393)),f326(f326(f151(x98391),x98394),x98395))),f157(x98391,x98396)))+~P1(f326(f326(f328(f938(f932(x98391),f932(x98391))),f326(f326(f251(f932(x98391),f932(x98391)),x98393),x98395)),f157(x98391,x98396)))
% 198.08/197.85 [9840]~E(x98402,x98404)+P1(f326(f326(f328(f938(f932(x98401),f932(x98401))),f326(f326(f251(f932(x98401),f932(x98401)),f326(f326(f134(x98401),x98402),x98403)),f326(f326(f134(x98401),x98404),x98405))),f157(x98401,x98406)))+~P1(f326(f326(f328(f938(f932(x98401),f932(x98401))),f326(f326(f251(f932(x98401),f932(x98401)),x98403),x98405)),f157(x98401,x98406)))
% 198.08/197.85 [9841]~E(x98413,x98415)+P1(f326(f326(f328(f938(f932(x98411),f932(x98411))),f326(f326(f251(f932(x98411),f932(x98411)),f326(f326(f134(x98411),x98412),x98413)),f326(f326(f134(x98411),x98414),x98415))),f157(x98411,x98416)))+~P1(f326(f326(f328(f938(f932(x98411),f932(x98411))),f326(f326(f251(f932(x98411),f932(x98411)),x98412),x98414)),f157(x98411,x98416)))
% 198.08/197.85 [9900]E(x99001,x99002)+P1(f326(f326(f328(f938(f932(x99003),f932(x99003))),f326(f326(f251(f932(x99003),f932(x99003)),x99001),x99002)),f157(x99003,x99004)))+~P1(f326(f326(f328(f938(f932(x99003),f932(x99003))),f326(f326(f251(f932(x99003),f932(x99003)),f326(f326(f151(x99003),x99005),x99001)),f326(f326(f151(x99003),x99006),x99002))),f157(x99003,x99004)))
% 198.08/197.85 [10050]~E(x100503,x100505)+P1(f326(f326(f328(f938(f932(x100501),f932(x100501))),f326(f326(f251(f932(x100501),f932(x100501)),f326(f326(f134(x100501),x100502),f326(f326(f151(x100501),x100503),f113(x100501)))),f326(f326(f134(x100501),x100504),f326(f326(f151(x100501),x100505),f113(x100501))))),f157(x100501,x100506)))+~P1(f326(f326(f328(f938(f932(x100501),f932(x100501))),f326(f326(f251(f932(x100501),f932(x100501)),x100502),x100504)),f157(x100501,x100506)))
% 198.08/197.85 [10094]E(x100941,x100942)+E(x100943,x100944)+~P1(f326(f326(f328(f938(f932(x100945),f932(x100945))),f326(f326(f251(f932(x100945),f932(x100945)),f326(f326(f134(x100945),x100943),f326(f326(f151(x100945),x100941),f113(x100945)))),f326(f326(f134(x100945),x100944),f326(f326(f151(x100945),x100942),f113(x100945))))),f157(x100945,x100946)))
% 198.08/197.85 [10121]E(x101211,x101212)+~P1(f326(f326(f328(f938(f932(x101213),f932(x101213))),f326(f326(f251(f932(x101213),f932(x101213)),f326(f326(f134(x101213),x101211),f326(f326(f151(x101213),x101215),f113(x101213)))),f326(f326(f134(x101213),x101212),f326(f326(f151(x101213),x101216),f113(x101213))))),f157(x101213,x101214)))+P1(f326(f326(f328(f938(f932(x101213),f932(x101213))),f326(f326(f251(f932(x101213),f932(x101213)),x101211),x101212)),f157(x101213,x101214)))
% 198.08/197.85 [10159]~P1(f326(f326(f328(f938(f939(x101591,a927),f939(x101591,a927))),f326(f326(f251(f939(x101591,a927),f939(x101591,a927)),x101592),x101594)),f318(x101591,x101596)))+~P1(f326(f326(f328(f938(f939(x101591,a927),f939(x101591,a927))),f326(f326(f251(f939(x101591,a927),f939(x101591,a927)),x101593),x101595)),f318(x101591,x101596)))+P1(f326(f326(f328(f938(f939(x101591,a927),f939(x101591,a927))),f326(f326(f251(f939(x101591,a927),f939(x101591,a927)),f326(f326(f110(f939(x101591,a927)),x101592),x101593)),f326(f326(f110(f939(x101591,a927)),x101594),x101595))),f318(x101591,x101596)))
% 198.08/197.85 [5914]~E(f326(f326(f134(x59141),x59146),x59143),x59145)+E(f326(f326(f134(x59141),x59142),x59143),f326(f326(f151(x59141),x59144),x59145))+~E(x59142,f326(f326(f151(x59141),x59144),x59146))
% 198.08/197.85 [5915]~E(f326(f326(f134(x59151),x59156),x59153),x59155)+E(f326(f326(f134(x59151),x59152),x59153),f326(f326(f134(x59151),x59154),x59155))+~E(x59152,f326(f326(f134(x59151),x59154),x59156))
% 198.08/197.85 [5917]E(f326(f326(f134(x59171),x59172),x59173),f326(f326(f151(x59171),x59174),x59175))+~E(f326(f326(f151(x59171),x59174),x59176),x59172)+~E(x59175,f326(f326(f134(x59171),x59176),x59173))
% 198.08/197.85 [5919]~E(f326(f326(f134(x59191),x59192),x59196),x59194)+E(f326(f326(f134(x59191),x59192),x59193),f326(f326(f134(x59191),x59194),x59195))+~E(x59193,f326(f326(f134(x59191),x59196),x59195))
% 198.08/197.85 [7068]E(f326(x70681,x70682),f326(x70683,x70682))+~E(f326(f326(f154(x70684,x70685),x70681),x70686),f326(f326(f154(x70684,x70685),x70683),x70686))+~P1(f326(f326(f328(x70684),x70682),f326(f172(x70684),x70686)))
% 198.08/197.85 [7456]~P21(x74564,x74565,x74566,x74561)+E(f326(f326(x74561,x74562),x74563),f326(f326(f64(x74564,x74565,x74566),x74563),x74562))+~P1(f326(f61(x74564),x74562))
% 198.08/197.85 [7530]~E(x75302,f326(x75304,x75306))+~P1(f326(f326(f328(x75303),x75306),x75305))+P1(f326(f326(f328(x75301),x75302),f326(f309(x75303,x75301,x75304),x75305)))
% 198.08/197.85 [7531]~E(f326(x75314,x75312),x75316)+~P1(f326(f326(f328(x75313),x75316),x75315))+P1(f326(f326(f328(x75311),x75312),f326(f310(x75311,x75313,x75314),x75315)))
% 198.08/197.85 [7987]~P36(x79871,x79872,x79874,x79876)+P36(x79871,x79872,f326(f326(f151(x79871),x79873),x79874),f326(f326(f151(x79871),x79875),x79876))+~P1(f326(f326(x79872,x79873),x79875))
% 198.08/197.85 [9007]~P61(x90074,x90075,x90071,x90072,x90076)+E(f326(x90071,f326(x90072,x90073)),x90073)+~P1(f326(f326(f328(x90075),x90073),x90076))
% 198.08/197.85 [9514]~P28(x95142,x95141,x95145,x95144,x95143)+E(f326(f91(x95141,x95142,x95143,f91(x95142,x95141,x95144,x95145)),x95146),f326(x95145,x95146))+~P1(f326(f326(f328(x95142),x95146),x95144))
% 198.08/197.85 [9525]~P27(x95251,x95252,x95253,x95256)+P27(x95251,x95252,f74(x95251,x95252,x95253,x95254,x95255),x95256)+P1(f326(f326(f328(x95252),x95255),f326(f309(x95251,x95252,x95253),x95256)))
% 198.08/197.85 [9830]E(x98301,x98302)+E(f326(f189(f932(x98303)),x98304),f326(f189(f932(x98303)),x98305))+~P1(f326(f326(f328(f938(f932(x98303),f932(x98303))),f326(f326(f251(f932(x98303),f932(x98303)),f326(f326(f151(x98303),x98301),x98304)),f326(f326(f151(x98303),x98302),x98305))),f145(x98303,x98306)))
% 198.08/197.85 [9895]~P18(x98951,x98952,x98953)+E(f326(f326(f64(x98951,x98952,x98953),x98954),x98955),x98956)+~P1(f326(f66(x98951,x98952,x98953,x98954,x98955),x98956))
% 198.08/197.85 [9903]E(f326(f189(f932(x99031)),x99032),f326(f189(f932(x99031)),x99033))+P1(f326(f326(f328(f938(f932(x99031),f932(x99031))),f326(f326(f251(f932(x99031),f932(x99031)),x99032),x99033)),f145(x99031,x99034)))+~P1(f326(f326(f328(f938(f932(x99031),f932(x99031))),f326(f326(f251(f932(x99031),f932(x99031)),f326(f326(f151(x99031),x99035),x99032)),f326(f326(f151(x99031),x99036),x99033))),f145(x99031,x99034)))
% 198.08/197.85 [9924]~P1(f326(f326(f328(f938(x99241,x99241)),f326(f326(f251(x99241,x99241),x99242),x99244)),f306(x99241,x99246)))+P1(f326(f326(f328(f938(f932(x99241),f932(x99241))),f326(f326(f251(f932(x99241),f932(x99241)),f326(f326(f151(x99241),x99242),x99243)),f326(f326(f151(x99241),x99244),x99245))),f306(f932(x99241),f157(x99241,x99246))))+~P1(f326(f326(f328(f938(f932(x99241),f932(x99241))),f326(f326(f251(f932(x99241),f932(x99241)),x99243),x99245)),f306(f932(x99241),f157(x99241,x99246))))
% 198.08/197.85 [10100]~P1(f326(x101002,x101006))+~E(f326(f136(x101001,x101002),x101003),f326(f326(f151(x101001),x101004),x101005))+~P1(f326(f326(f328(x101001),x101006),f326(f172(x101001),f755(x101005,x101004,x101003,x101002,x101001))))
% 198.08/197.85 [10101]~P1(f326(x101014,x101016))+~E(f326(f326(f151(x101011),x101012),x101013),f326(f136(x101011,x101014),x101015))+~P1(f326(f326(f328(x101011),x101016),f326(f172(x101011),f758(x101015,x101014,x101013,x101012,x101011))))
% 198.08/197.85 [10423]~P79(x104232)+E(f326(f326(f8(x104231,x104232),f326(f326(f10(f939(x104233,a927),x104232,x104231),f326(f8(x104233,x104232),x104234)),f326(f326(f10(f939(x104233,a927),f939(x104233,a927),x104231),f261(x104233)),f326(f326(f10(f939(x104233,a927),f939(x104233,a927),x104231),f326(f20(x104233,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104233),a324),f326(f326(f9(x104233,f939(x104233,a927),a927),f328(x104233)),x104235)))),f326(f9(x104233,x104231,a927),f326(f326(f10(x104231,f939(x104231,a927),x104233),a323),x104236)))))),f326(f309(x104233,x104231,x104236),x104235)),f326(f326(f8(x104233,x104232),x104234),x104235))+~P1(f326(f61(x104233),x104235))
% 198.08/197.85 [7126]~P111(x71263)+P1(f326(x71262,x71265))+E(f326(f136(x71261,x71262),f326(f326(f148(x71261,x71263,x71264),x71265),x71266)),f326(f136(x71261,x71262),x71266))
% 198.08/197.85 [7128]P1(f326(x71281,x71282))+~E(f166(x71283,x71281,x71284),f326(f326(f251(f932(x71283),f932(x71283)),x71285),x71286))+~P1(f326(f326(f328(x71283),x71282),f326(f172(x71283),x71285)))
% 198.08/197.85 [7173]~P1(f326(x71732,x71736))+~E(f166(x71731,x71732,x71733),f326(f326(f251(f932(x71731),f932(x71731)),x71734),x71735))+~P1(f326(f326(f328(x71731),x71736),f326(f172(x71731),x71735)))
% 198.08/197.85 [7851]~P16(x78511,x78512,x78513)+~P1(f326(f61(x78511),x78516))+E(f326(f326(f64(x78511,x78512,x78513),x78514),f326(f326(f308(x78511),x78515),x78516)),f326(f326(f64(x78511,x78512,x78513),f326(f326(x78513,x78515),x78514)),x78516))
% 198.08/197.85 [7904]~P111(x79042)+~P1(f326(f326(f234(x79042),f326(x79043,x79044)),f326(x79043,x79045)))+E(f326(f326(f148(x79041,x79042,x79043),x79044),f326(f326(f151(x79041),x79045),x79046)),f326(f326(f151(x79041),x79044),f326(f326(f151(x79041),x79045),x79046)))
% 198.08/197.85 [8015]E(x80151,x80152)+~E(f326(f326(f253(x80153,x80154),x80151),f326(f18(f939(x80154,a927),x80153),x80155)),f326(f326(f253(x80153,x80154),x80152),f326(f18(f939(x80154,a927),x80153),x80155)))+~P1(f326(f326(f328(x80154),x80156),x80155))
% 198.08/197.85 [8086]~P16(x80861,x80862,x80863)+~P1(f326(f61(x80861),x80866))+E(f326(f326(f64(x80861,x80862,x80863),x80864),f326(f326(f308(x80861),x80865),x80866)),f326(f326(x80863,x80865),f326(f326(f64(x80861,x80862,x80863),x80864),x80866)))
% 198.08/197.85 [8205]~P18(x82051,x82052,x82053)+~P1(f326(f61(x82051),x82056))+E(f326(f326(f64(x82051,x82052,x82053),f326(f326(x82053,x82054),x82055)),x82056),f326(f326(x82053,x82054),f326(f326(f64(x82051,x82052,x82053),x82055),x82056)))
% 198.08/197.85 [8275]~P22(x82752,x82755,x82756,x82751)+~P1(f326(f61(x82752),x82754))+E(f326(x82751,f326(f326(f308(x82752),x82753),x82754)),f326(f72(x82755,x82755,x82755,f326(x82751,x82754)),f326(x82756,x82753)))
% 198.08/197.85 [8308]~P111(x83082)+P1(f326(f326(f234(x83082),f326(x83083,x83084)),f326(x83083,x83085)))+E(f326(f326(f148(x83081,x83082,x83083),x83084),f326(f326(f151(x83081),x83085),x83086)),f326(f326(f151(x83081),x83085),f326(f326(f148(x83081,x83082,x83083),x83084),x83086)))
% 198.08/197.85 [8451]~E(f326(f189(f932(x84511)),x84515),f326(f189(f932(x84512)),x84516))+~E(f326(f189(f932(x84511)),x84513),f326(f189(f932(x84512)),x84514))+E(f326(f326(f134(f938(x84511,x84512)),f326(f326(f181(x84511,x84512),x84513),x84514)),f326(f326(f181(x84511,x84512),x84515),x84516)),f326(f326(f181(x84511,x84512),f326(f326(f134(x84511),x84513),x84515)),f326(f326(f134(x84512),x84514),x84516)))
% 198.08/197.85 [8562]~E(x85622,f326(f309(x85623,x85621,x85624),x85626))+P1(f326(f326(f234(f939(x85621,a927)),x85622),f326(f309(x85623,x85621,x85624),x85625)))+~P1(f326(f326(f234(f939(x85623,a927)),x85626),x85625))
% 198.08/197.85 [8664]~P111(x86645)+E(f326(x86641,x86642),f326(x86641,x86643))+E(f326(f326(f148(x86644,x86645,x86641),x86642),f326(f326(f148(x86644,x86645,x86641),x86643),x86646)),f326(f326(f148(x86644,x86645,x86641),x86643),f326(f326(f148(x86644,x86645,x86641),x86642),x86646)))
% 198.08/197.85 [8837]~P1(f326(f326(f328(x88372),x88374),f326(x88376,x88373)))+~P1(f326(f326(f328(x88371),x88373),x88375))+P1(f326(f326(f328(f938(x88371,x88372)),f326(f326(f251(x88371,x88372),x88373),x88374)),f326(f326(f253(x88371,x88372),x88375),x88376)))
% 198.08/197.85 [9313]~P79(x93132)+~P27(x93134,x93131,x93135,x93136)+E(f326(f326(f8(x93131,x93132),x93133),f326(f309(x93134,x93131,x93135),x93136)),f326(f326(f8(x93134,x93132),f326(f72(x93131,x93132,x93134,x93133),x93135)),x93136))
% 198.08/197.85 [9314]~P75(x93142)+~P27(x93144,x93141,x93145,x93146)+E(f326(f326(f11(x93141,x93142),x93143),f326(f309(x93144,x93141,x93145),x93146)),f326(f326(f11(x93144,x93142),f326(f72(x93141,x93142,x93144,x93143),x93145)),x93146))
% 198.08/197.85 [9361]~P38(x93612,x93615,x93611,x93613,x93616)+P1(f326(f326(x93611,f326(f326(f164(x93612),x93613),x93614)),f326(f326(f164(x93615),x93616),x93614)))+~P1(f326(f326(f235(a931),x93614),f326(f189(f932(x93615)),x93616)))
% 198.08/197.85 [9362]~P38(x93622,x93625,x93621,x93623,x93626)+P1(f326(f326(x93621,f326(f326(f164(x93622),x93623),x93624)),f326(f326(f164(x93625),x93626),x93624)))+~P1(f326(f326(f235(a931),x93624),f326(f189(f932(x93622)),x93623)))
% 198.08/197.85 [9373]~E(f326(f309(x93731,x93732,x93733),x93734),x93736)+E(f326(f309(x93731,x93732,x93733),f326(f309(x93732,x93731,f91(x93731,x93732,x93734,x93733)),x93735)),x93735)+~P1(f326(f326(f234(f939(x93732,a927)),x93735),x93736))
% 198.08/197.85 [9582]~P21(x95823,x95821,x95826,x95822)+~P1(f326(f61(x95823),x95824))+E(f326(f72(x95821,x95821,x95821,f326(x95822,f326(f326(f3(f939(x95823,a927)),x95824),f326(f326(f308(x95823),x95825),f188(f939(x95823,a927)))))),f326(x95826,x95825)),f326(x95822,f326(f326(f308(x95823),x95825),x95824)))
% 198.08/197.85 [10188]~E(f326(f309(x101882,x101884,x101886),f241(f939(x101882,a927))),f241(f939(x101884,a927)))+~E(f326(f309(x101881,x101883,x101885),f241(f939(x101881,a927))),f241(f939(x101883,a927)))+E(f326(f309(f938(x101881,x101882),f938(x101883,x101884),f257(x101881,x101883,x101882,x101884,x101885,x101886)),f241(f939(f938(x101881,x101882),a927))),f241(f939(f938(x101883,x101884),a927)))
% 198.08/197.85 [10247]~P27(x102473,x102474,x102475,f326(x102476,f565(x102476,x102475,x102474,x102473,x102472,x102471)))+P27(x102473,x102474,x102475,f326(f326(f39(x102472,f939(x102473,a927)),x102471),x102476))+E(x102471,f188(f939(x102472,a927)))
% 198.08/197.85 [10304]P27(x103046,x103045,x103044,f326(f326(f39(x103042,f939(x103046,a927)),x103041),x103043))+E(x103041,f188(f939(x103042,a927)))+P1(f326(f326(f328(x103042),f565(x103043,x103044,x103045,x103046,x103042,x103041)),x103041))
% 198.08/197.85 [10309]P1(f326(f326(f328(x103091),f616(x103092,x103093,x103094,x103095,x103096,x103091)),x103096))+P1(f326(f326(f234(f939(f938(x103091,x103094),a927)),f326(f326(f253(x103091,x103094),x103096),x103093)),f326(f326(f253(x103091,x103094),x103095),x103092)))+~P1(f326(f326(f234(f939(x103091,a927)),x103096),x103095))
% 198.08/197.85 [10349]P26(x103496,x103495,f326(f326(f308(f930(x103496)),f326(f326(f326(f90(x103496),x103494),x103493),x103492)),f188(f939(f930(x103496),a927))))+~P26(x103496,x103495,f326(f326(f308(f930(x103496)),f326(f326(f326(f90(x103496),x103494),x103493),x103491)),f188(f939(f930(x103496),a927))))+P1(f326(f326(x103491,f885(x103492,x103491,x103493,x103494,x103495,x103496)),f896(x103492,x103491,x103493,x103494,x103495,x103496)))
% 198.08/197.85 [10350]P26(x103506,x103505,f326(f326(f308(f930(x103506)),f326(f326(f326(f90(x103506),x103501),x103503),x103502)),f188(f939(f930(x103506),a927))))+~P26(x103506,x103505,f326(f326(f308(f930(x103506)),f326(f326(f326(f90(x103506),x103504),x103503),x103502)),f188(f939(f930(x103506),a927))))+P1(f326(f326(x103501,f907(x103501,x103502,x103503,x103504,x103505,x103506)),f919(x103501,x103502,x103503,x103504,x103505,x103506)))
% 198.08/197.85 [10392]~P26(x103921,x103922,f326(f326(f308(f930(x103921)),f326(f326(f326(f90(x103921),x103923),x103924),x103926)),f188(f939(f930(x103921),a927))))+P26(x103921,x103922,f326(f326(f308(f930(x103921)),f326(f326(f326(f90(x103921),x103923),x103924),x103925)),f188(f939(f930(x103921),a927))))+~P1(f326(f326(x103925,f885(x103925,x103926,x103924,x103923,x103922,x103921)),f896(x103925,x103926,x103924,x103923,x103922,x103921)))
% 198.08/197.85 [10393]~P26(x103931,x103932,f326(f326(f308(f930(x103931)),f326(f326(f326(f90(x103931),x103936),x103934),x103935)),f188(f939(f930(x103931),a927))))+P26(x103931,x103932,f326(f326(f308(f930(x103931)),f326(f326(f326(f90(x103931),x103933),x103934),x103935)),f188(f939(f930(x103931),a927))))+~P1(f326(f326(x103936,f907(x103933,x103935,x103934,x103936,x103932,x103931)),f919(x103933,x103935,x103934,x103936,x103932,x103931)))
% 198.08/197.85 [10437]~P1(f326(f326(f234(f939(x104372,a927)),f326(x104374,f616(x104376,x104374,x104372,x104375,x104373,x104371))),f326(x104376,f616(x104376,x104374,x104372,x104375,x104373,x104371))))+~P1(f326(f326(f234(f939(x104371,a927)),x104373),x104375))+P1(f326(f326(f234(f939(f938(x104371,x104372),a927)),f326(f326(f253(x104371,x104372),x104373),x104374)),f326(f326(f253(x104371,x104372),x104375),x104376)))
% 198.08/197.85 [8037]~P1(f326(x80371,x80375))+~P1(f326(x80376,x80374))+P1(f326(x80371,f326(f255(x80372,x80373),f326(f326(f251(x80372,x80373),x80374),x80375))))
% 198.08/197.85 [8038]~P1(f326(x80381,x80384))+~P1(f326(x80386,x80385))+P1(f326(x80381,f326(f250(x80382,x80383),f326(f326(f251(x80382,x80383),x80384),x80385))))
% 198.08/197.85 [8091]~P1(f326(f326(x80914,x80916),x80915))+~P1(f326(f326(f328(x80911),x80916),x80913))+P1(f326(f326(f326(f40(x80911,f939(x80912,a927)),x80913),x80914),x80915))
% 198.08/197.85 [8403]~P1(f326(f326(f328(x84031),x84032),f326(x84035,x84036)))+~P1(f326(f326(f328(x84033),x84036),x84034))+P1(f326(f326(f328(x84031),x84032),f326(f326(f40(x84033,f939(x84031,a927)),x84034),x84035)))
% 198.08/197.85 [8445]P1(f326(f326(x84451,x84452),x84453))+~P1(f326(f326(x84454,x84452),x84453))+~P1(f326(f326(f234(f939(x84455,f939(x84456,a927))),x84454),x84451))
% 198.08/197.85 [8585]P1(f326(f326(x85851,x85852),x85853))+~P1(f326(f326(f328(x85854),x85852),x85855))+~P1(f326(f326(f326(f39(x85854,f939(x85856,a927)),x85855),x85851),x85853))
% 198.08/197.85 [8719]P1(f326(f326(f328(x87191),x87192),f326(x87193,x87194)))+~P1(f326(f326(f328(x87195),x87194),x87196))+~P1(f326(f326(f328(x87191),x87192),f326(f326(f39(x87195,f939(x87191,a927)),x87196),x87193)))
% 198.08/197.85 [8986]~P13(x89864,x89865,x89866,x89861)+E(f326(x89861,x89862),f326(x89861,x89863))+~P1(f326(f326(f328(f938(x89864,x89864)),f326(f326(f251(x89864,x89864),x89862),x89863)),x89866))
% 198.08/197.85 [9021]P1(f326(f326(f234(f939(x90211,a927)),x90212),f326(x90213,x90214)))+~P1(f326(f326(f328(x90215),x90214),x90216))+~P1(f326(f326(f234(f939(x90211,a927)),x90212),f326(f326(f39(x90215,f939(x90211,a927)),x90216),x90213)))
% 198.08/197.85 [9054]~P59(x90543,x90544,f326(f285(x90544,x90543),x90545))+E(x90541,f188(f939(x90542,a927)))+E(f326(f326(f39(x90542,f939(x90543,a927)),x90541),f326(f326(f10(f939(x90544,a927),f939(x90543,a927),x90542),f284(x90544,x90543,x90545)),x90546)),f326(f284(x90544,x90543,x90545),f326(f326(f39(x90542,f939(x90544,a927)),x90541),x90546)))
% 198.08/197.85 [9133]P1(f326(f326(f328(x91331),x91332),f326(f284(x91333,x91331,x91334),x91335)))+~P1(f326(f326(f328(x91333),x91336),x91335))+~P1(f326(f326(f328(f938(x91333,x91331)),f326(f326(f251(x91333,x91331),x91336),x91332)),x91334))
% 198.08/197.85 [9446]P1(f326(f326(f234(f939(x94461,a927)),f326(f284(x94462,x94461,x94463),x94464)),f326(f284(x94462,x94461,x94465),x94466)))+~P1(f326(f326(f234(f939(x94462,a927)),x94464),x94466))+~P1(f326(f326(f234(f939(f938(x94462,x94461),a927)),x94463),x94465))
% 198.08/197.85 [9631]~P1(f326(f326(f328(x96312),x96316),x96314))+~P1(f326(f326(f234(f939(x96311,a927)),x96313),x96315))+P1(f326(f326(f234(f939(f938(x96311,x96312),a927)),f326(f326(f253(x96311,x96312),x96313),f326(f18(f939(x96312,a927),x96311),x96314))),f326(f326(f253(x96311,x96312),x96315),f326(f18(f939(x96312,a927),x96311),x96314))))
% 198.08/197.85 [9643]~P38(x96431,x96432,x96433,x96435,x96436)+P1(f326(f326(f256(x96431,x96432,a927),x96433),x96434))+~P1(f326(f326(f328(f938(x96431,x96432)),x96434),f326(f172(f938(x96431,x96432)),f326(f326(f181(x96431,x96432),x96435),x96436))))
% 198.08/197.85 [9784]~E(x97843,x97845)+P1(f326(f326(f328(f938(f932(x97841),f932(x97841))),f326(f326(f251(f932(x97841),f932(x97841)),f326(f326(f151(x97841),x97842),x97843)),f326(f326(f151(x97841),x97844),x97845))),f157(x97841,x97846)))+~P1(f326(f326(f328(f938(x97841,x97841)),f326(f326(f251(x97841,x97841),x97842),x97844)),x97846))
% 198.08/197.85 [9790]~E(f326(f189(f932(x97901)),x97903),f326(f189(f932(x97901)),x97905))+P1(f326(f326(f328(f938(f932(x97901),f932(x97901))),f326(f326(f251(f932(x97901),f932(x97901)),f326(f326(f151(x97901),x97902),x97903)),f326(f326(f151(x97901),x97904),x97905))),f145(x97901,x97906)))+~P1(f326(f326(f328(f938(x97901,x97901)),f326(f326(f251(x97901,x97901),x97902),x97904)),x97906))
% 198.08/197.85 [9822]P1(f326(f326(f328(f938(x98221,x98221)),f326(f326(f251(x98221,x98221),x98222),x98223)),f326(f326(f183(f938(x98221,x98221),a927),f326(a112,x98224)),x98225)))+~P1(f326(f326(f328(f938(x98221,x98221)),f326(f326(f251(x98221,x98221),x98226),x98223)),x98225))+~P1(f326(f326(f328(f938(x98221,x98221)),f326(f326(f251(x98221,x98221),x98222),x98226)),f326(f326(f183(f938(x98221,x98221),a927),x98224),x98225)))
% 198.08/197.85 [9823]P1(f326(f326(f328(f938(x98231,x98231)),f326(f326(f251(x98231,x98231),x98232),x98233)),f326(f326(f183(f938(x98231,x98231),a927),f326(a112,x98234)),x98235)))+~P1(f326(f326(f328(f938(x98231,x98231)),f326(f326(f251(x98231,x98231),x98232),x98236)),x98235))+~P1(f326(f326(f328(f938(x98231,x98231)),f326(f326(f251(x98231,x98231),x98236),x98233)),f326(f326(f183(f938(x98231,x98231),a927),x98234),x98235)))
% 198.08/197.85 [9826]~P1(f326(f326(f328(x98264),x98265),x98266))+P1(f326(f326(f234(f939(x98261,a927)),x98262),x98263))+~P1(f326(f326(f234(f939(f938(x98261,x98264),a927)),f326(f326(f253(x98261,x98264),x98262),f326(f18(f939(x98264,a927),x98261),x98266))),f326(f326(f253(x98261,x98264),x98263),f326(f18(f939(x98264,a927),x98261),x98266))))
% 198.08/197.85 [9873]E(x98731,x98732)+~P1(f326(f326(f328(f938(f932(x98733),f932(x98733))),f326(f326(f251(f932(x98733),f932(x98733)),f326(f326(f151(x98733),x98731),x98735)),f326(f326(f151(x98733),x98732),x98736))),f145(x98733,x98734)))+P1(f326(f326(f328(f938(x98733,x98733)),f326(f326(f251(x98733,x98733),x98731),x98732)),x98734))
% 198.08/197.85 [9874]E(x98741,x98742)+~P1(f326(f326(f328(f938(f932(x98743),f932(x98743))),f326(f326(f251(f932(x98743),f932(x98743)),f326(f326(f151(x98743),x98741),x98745)),f326(f326(f151(x98743),x98742),x98746))),f147(x98743,x98744)))+P1(f326(f326(f328(f938(x98743,x98743)),f326(f326(f251(x98743,x98743),x98741),x98742)),x98744))
% 198.08/197.85 [9875]E(x98751,x98752)+~P1(f326(f326(f328(f938(f932(x98753),f932(x98753))),f326(f326(f251(f932(x98753),f932(x98753)),f326(f326(f151(x98753),x98751),x98755)),f326(f326(f151(x98753),x98752),x98756))),f157(x98753,x98754)))+P1(f326(f326(f328(f938(x98753,x98753)),f326(f326(f251(x98753,x98753),x98751),x98752)),x98754))
% 198.08/197.85 [9911]P1(f326(f326(f328(f938(f932(x99111),f932(x99111))),f326(f326(f251(f932(x99111),f932(x99111)),f326(f326(f151(x99111),x99112),x99113)),f326(f326(f151(x99111),x99114),x99115))),f158(x99111,x99116)))+~P1(f326(f326(f328(f938(f932(x99111),f932(x99111))),f326(f326(f251(f932(x99111),f932(x99111)),x99113),x99115)),f158(x99111,x99116)))+~P1(f326(f326(f328(f938(x99111,x99111)),f326(f326(f251(x99111,x99111),x99112),x99114)),x99116))
% 198.08/197.85 [9928]P1(f326(x99281,x99282))+~P1(f326(x99281,f483(x99281,x99283,x99284,x99285,x99286)))+~P1(f326(f326(f328(x99286),x99282),f326(f326(f40(x99285,f939(x99286,a927)),x99284),x99283)))
% 198.08/197.85 [9933]~P1(f326(f326(f328(f938(f932(x99331),f932(x99331))),f326(f326(f251(f932(x99331),f932(x99331)),f326(f326(f151(x99331),x99332),x99335)),f326(f326(f151(x99331),x99333),x99336))),f145(x99331,x99334)))+P1(f326(f326(f328(f938(f932(x99331),f932(x99331))),f326(f326(f251(f932(x99331),f932(x99331)),x99335),x99336)),f145(x99331,x99334)))+P1(f326(f326(f328(f938(x99331,x99331)),f326(f326(f251(x99331,x99331),x99332),x99333)),x99334))
% 198.08/197.85 [9934]~P1(f326(f326(f328(f938(f932(x99341),f932(x99341))),f326(f326(f251(f932(x99341),f932(x99341)),f326(f326(f151(x99341),x99342),x99345)),f326(f326(f151(x99341),x99343),x99346))),f147(x99341,x99344)))+P1(f326(f326(f328(f938(f932(x99341),f932(x99341))),f326(f326(f251(f932(x99341),f932(x99341)),x99345),x99346)),f147(x99341,x99344)))+P1(f326(f326(f328(f938(x99341,x99341)),f326(f326(f251(x99341,x99341),x99342),x99343)),x99344))
% 198.08/197.85 [9935]~P1(f326(f326(f328(f938(f932(x99351),f932(x99351))),f326(f326(f251(f932(x99351),f932(x99351)),f326(f326(f151(x99351),x99352),x99355)),f326(f326(f151(x99351),x99353),x99356))),f157(x99351,x99354)))+P1(f326(f326(f328(f938(f932(x99351),f932(x99351))),f326(f326(f251(f932(x99351),f932(x99351)),x99355),x99356)),f157(x99351,x99354)))+P1(f326(f326(f328(f938(x99351,x99351)),f326(f326(f251(x99351,x99351),x99352),x99353)),x99354))
% 198.08/197.85 [10023]P1(f326(x100231,x100232))+P1(f326(f326(f328(x100233),f484(x100231,x100234,x100235,x100233,x100236)),x100235))+~P1(f326(f326(f328(x100236),x100232),f326(f326(f40(x100233,f939(x100236,a927)),x100235),x100234)))
% 198.08/197.85 [10034]~E(x100342,x100344)+P1(f326(f326(f328(f938(f932(x100341),f932(x100341))),f326(f326(f251(f932(x100341),f932(x100341)),f326(f326(f134(x100341),x100342),f326(f326(f151(x100341),x100343),f113(x100341)))),f326(f326(f134(x100341),x100344),f326(f326(f151(x100341),x100345),f113(x100341))))),f157(x100341,x100346)))+~P1(f326(f326(f328(f938(x100341,x100341)),f326(f326(f251(x100341,x100341),x100343),x100345)),x100346))
% 198.08/197.85 [10109]E(x101091,x101092)+~P1(f326(f326(f328(f938(f932(x101093),f932(x101093))),f326(f326(f251(f932(x101093),f932(x101093)),f326(f326(f134(x101093),x101095),f326(f326(f151(x101093),x101091),f113(x101093)))),f326(f326(f134(x101093),x101096),f326(f326(f151(x101093),x101092),f113(x101093))))),f157(x101093,x101094)))+P1(f326(f326(f328(f938(x101093,x101093)),f326(f326(f251(x101093,x101093),x101091),x101092)),x101094))
% 198.08/197.85 [10140]~P1(f326(f326(f328(f938(f932(x101401),f932(x101401))),f326(f326(f251(f932(x101401),f932(x101401)),f326(f326(f134(x101401),x101405),f326(f326(f151(x101401),x101402),f113(x101401)))),f326(f326(f134(x101401),x101406),f326(f326(f151(x101401),x101403),f113(x101401))))),f157(x101401,x101404)))+P1(f326(f326(f328(f938(f932(x101401),f932(x101401))),f326(f326(f251(f932(x101401),f932(x101401)),x101405),x101406)),f157(x101401,x101404)))+P1(f326(f326(f328(f938(x101401,x101401)),f326(f326(f251(x101401,x101401),x101402),x101403)),x101404))
% 198.08/197.85 [10160]P1(f326(x101601,x101602))+P1(f326(f326(f328(x101603),f483(x101601,x101604,x101605,x101606,x101603)),f326(x101604,f484(x101601,x101604,x101605,x101606,x101603))))+~P1(f326(f326(f328(x101603),x101602),f326(f326(f40(x101606,f939(x101603,a927)),x101605),x101604)))
% 198.08/197.85 [10313]P1(f326(f326(f328(x103131),f846(x103132,x103133,x103134,x103135,x103136,x103131)),x103135))+~P1(f326(f326(f234(f939(x103131,a927)),x103136),x103135))+P1(f326(f326(f234(f939(x103134,a927)),f326(f326(f39(x103131,f939(x103134,a927)),x103135),x103133)),f326(f326(f39(x103131,f939(x103134,a927)),x103135),x103132)))
% 198.08/197.85 [10438]~P1(f326(f326(f234(f939(x104381,a927)),f326(x104384,f846(x104385,x104384,x104381,x104383,x104386,x104382))),f326(x104385,f846(x104385,x104384,x104381,x104383,x104386,x104382))))+~P1(f326(f326(f234(f939(x104382,a927)),x104386),x104383))+P1(f326(f326(f234(f939(x104381,a927)),f326(f326(f39(x104382,f939(x104381,a927)),x104383),x104384)),f326(f326(f39(x104382,f939(x104381,a927)),x104383),x104385)))
% 198.08/197.85 [9153]~P18(x91533,x91534,x91531)+~P1(f326(f61(x91533),x91536))+E(f326(f326(x91531,x91532),f326(f326(f64(x91533,x91534,x91531),x91535),f326(f326(f3(f939(x91533,a927)),x91536),f326(f326(f308(x91533),x91532),f188(f939(x91533,a927)))))),f326(f326(f64(x91533,x91534,x91531),x91535),f326(f326(f308(x91533),x91532),x91536)))
% 198.08/197.85 [9455]~P1(f326(f326(f328(x94555),x94553),x94556))+P1(f326(f326(f234(f939(x94551,a927)),f326(x94552,x94553)),x94554))+~P1(f326(f326(f234(f939(x94551,a927)),f326(f326(f40(x94555,f939(x94551,a927)),x94556),x94552)),x94554))
% 198.08/197.85 [10083]~P10(x100831,x100835,x100834)+P1(f326(f326(f328(f938(x100831,x100831)),f326(f326(f251(x100831,x100831),x100832),x100833)),x100834))+~P1(f326(f326(f328(x100831),x100836),f326(f326(f101(f939(x100831,a927)),f326(f284(x100831,x100831,x100834),f326(f326(f308(x100831),x100832),f188(f939(x100831,a927))))),f326(f284(x100831,x100831,x100834),f326(f326(f308(x100831),x100833),f188(f939(x100831,a927)))))))
% 198.08/197.85 [8874]~P113(x88742)+~E(f326(f326(f79(x88742),f326(f326(f80(x88742),x88744),x88745)),x88741),f326(f326(f79(x88742),f326(f326(f80(x88742),x88743),x88745)),x88746))+E(x88741,f326(f326(f79(x88742),f326(f326(f80(x88742),f326(f326(f3(x88742),x88743),x88744)),x88745)),x88746))
% 198.08/197.85 [8875]~P113(x88751)+~E(f326(f326(f79(x88751),f326(f326(f80(x88751),x88752),x88754)),x88755),f326(f326(f79(x88751),f326(f326(f80(x88751),x88753),x88754)),x88756))+E(f326(f326(f79(x88751),f326(f326(f80(x88751),f326(f326(f3(x88751),x88752),x88753)),x88754)),x88755),x88756)
% 198.08/197.85 [9057]~P113(x90571)+E(f326(f326(f79(x90571),f326(f326(f80(x90571),x90572),x90573)),x90574),f326(f326(f79(x90571),f326(f326(f80(x90571),x90575),x90573)),x90576))+~E(x90576,f326(f326(f79(x90571),f326(f326(f80(x90571),f326(f326(f3(x90571),x90572),x90575)),x90573)),x90574))
% 198.08/197.85 [9058]~P113(x90581)+E(f326(f326(f79(x90581),f326(f326(f80(x90581),x90582),x90583)),x90584),f326(f326(f79(x90581),f326(f326(f80(x90581),x90585),x90583)),x90586))+~E(f326(f326(f79(x90581),f326(f326(f80(x90581),f326(f326(f3(x90581),x90582),x90585)),x90583)),x90584),x90586)
% 198.08/197.85 [9384]~P1(f326(f326(x93844,x93845),x93846))+~P1(f326(f326(x93843,x93845),x93846))+P1(f326(f326(f326(f326(f101(f939(x93841,f939(x93842,a927))),x93843),x93844),x93845),x93846))
% 198.08/197.85 [9652]P1(f326(f326(x96521,x96522),x96523))+P1(f326(f326(x96524,x96522),x96523))+~P1(f326(f326(f326(f326(f110(f939(x96525,f939(x96526,a927))),x96524),x96521),x96522),x96523))
% 198.08/197.85 [9948]~P131(x99481)+~P1(f326(f326(f234(x99481),f326(f326(f79(x99481),f326(f326(f80(x99481),x99484),x99485)),x99482)),f326(f326(f79(x99481),f326(f326(f80(x99481),x99483),x99485)),x99486)))+P1(f326(f326(f234(x99481),x99482),f326(f326(f79(x99481),f326(f326(f80(x99481),f326(f326(f3(x99481),x99483),x99484)),x99485)),x99486)))
% 198.08/197.85 [9949]~P131(x99491)+~P1(f326(f326(f235(x99491),f326(f326(f79(x99491),f326(f326(f80(x99491),x99494),x99495)),x99492)),f326(f326(f79(x99491),f326(f326(f80(x99491),x99493),x99495)),x99496)))+P1(f326(f326(f235(x99491),x99492),f326(f326(f79(x99491),f326(f326(f80(x99491),f326(f326(f3(x99491),x99493),x99494)),x99495)),x99496)))
% 198.08/197.85 [9972]~P131(x99721)+P1(f326(f326(f234(x99721),f326(f326(f79(x99721),f326(f326(f80(x99721),x99722),x99723)),x99724)),f326(f326(f79(x99721),f326(f326(f80(x99721),x99725),x99723)),x99726)))+~P1(f326(f326(f234(x99721),x99724),f326(f326(f79(x99721),f326(f326(f80(x99721),f326(f326(f3(x99721),x99725),x99722)),x99723)),x99726)))
% 198.08/197.85 [9973]~P131(x99731)+P1(f326(f326(f235(x99731),f326(f326(f79(x99731),f326(f326(f80(x99731),x99732),x99733)),x99734)),f326(f326(f79(x99731),f326(f326(f80(x99731),x99735),x99733)),x99736)))+~P1(f326(f326(f235(x99731),x99734),f326(f326(f79(x99731),f326(f326(f80(x99731),f326(f326(f3(x99731),x99735),x99732)),x99733)),x99736)))
% 198.08/197.85 [10075]~P131(x100751)+~P1(f326(f326(f234(x100751),f326(f326(f79(x100751),f326(f326(f80(x100751),x100752),x100754)),x100755)),f326(f326(f79(x100751),f326(f326(f80(x100751),x100753),x100754)),x100756)))+P1(f326(f326(f234(x100751),f326(f326(f79(x100751),f326(f326(f80(x100751),f326(f326(f3(x100751),x100752),x100753)),x100754)),x100755)),x100756))
% 198.08/197.85 [10076]~P131(x100761)+~P1(f326(f326(f235(x100761),f326(f326(f79(x100761),f326(f326(f80(x100761),x100762),x100764)),x100765)),f326(f326(f79(x100761),f326(f326(f80(x100761),x100763),x100764)),x100766)))+P1(f326(f326(f235(x100761),f326(f326(f79(x100761),f326(f326(f80(x100761),f326(f326(f3(x100761),x100762),x100763)),x100764)),x100765)),x100766))
% 198.08/197.85 [10123]~P131(x101231)+P1(f326(f326(f234(x101231),f326(f326(f79(x101231),f326(f326(f80(x101231),x101232),x101233)),x101234)),f326(f326(f79(x101231),f326(f326(f80(x101231),x101235),x101233)),x101236)))+~P1(f326(f326(f234(x101231),f326(f326(f79(x101231),f326(f326(f80(x101231),f326(f326(f3(x101231),x101232),x101235)),x101233)),x101234)),x101236))
% 198.08/197.85 [10124]~P131(x101241)+P1(f326(f326(f235(x101241),f326(f326(f79(x101241),f326(f326(f80(x101241),x101242),x101243)),x101244)),f326(f326(f79(x101241),f326(f326(f80(x101241),x101245),x101243)),x101246)))+~P1(f326(f326(f235(x101241),f326(f326(f79(x101241),f326(f326(f80(x101241),f326(f326(f3(x101241),x101242),x101245)),x101243)),x101244)),x101246))
% 198.08/197.85 [10298]~P79(x102982)+~P1(f326(f61(x102981),x102986))+E(f326(f326(f8(x102981,x102982),f326(f326(f20(x102981,x102982,x102982),f326(f326(f20(x102981,x102982,f939(x102982,x102982)),f326(f326(f10(a927,f939(x102982,f939(x102982,x102982)),x102981),f96(x102982)),x102983)),x102984)),x102985)),x102986),f326(f326(f79(x102982),f326(f326(f8(x102981,x102982),x102984),f326(f326(f101(f939(x102981,a927)),x102986),f326(f261(x102981),x102983)))),f326(f326(f8(x102981,x102982),x102985),f326(f326(f101(f939(x102981,a927)),x102986),f326(f78(f939(x102981,a927)),f326(f261(x102981),x102983))))))
% 198.08/197.85 [10360]P1(f326(f326(f328(x103602),x103604),x103606))+P1(f326(f326(f328(x103602),x103605),x103606))+E(f326(f310(x103601,x103602,f326(f326(f9(x103601,x103602,x103602),f326(f326(f9(x103601,x103602,f939(x103602,x103602)),f326(f326(f10(a927,f939(x103602,f939(x103602,x103602)),x103601),f96(x103602)),f326(f326(f9(x103601,f939(x103601,a927),a927),f328(x103601)),x103603))),x103604)),x103605)),x103606),f188(f939(x103601,a927)))
% 198.08/197.85 [10361]P1(f326(f326(f328(x103612),x103615),x103616))+~P1(f326(f326(f328(x103612),x103614),x103616))+E(f326(f310(x103611,x103612,f326(f326(f9(x103611,x103612,x103612),f326(f326(f9(x103611,x103612,f939(x103612,x103612)),f326(f326(f10(a927,f939(x103612,f939(x103612,x103612)),x103611),f96(x103612)),f326(f326(f9(x103611,f939(x103611,a927),a927),f328(x103611)),x103613))),x103614)),x103615)),x103616),x103613)
% 198.08/197.85 [10362]P1(f326(f326(f328(x103622),x103624),x103626))+~P1(f326(f326(f328(x103622),x103625),x103626))+E(f326(f310(x103621,x103622,f326(f326(f9(x103621,x103622,x103622),f326(f326(f9(x103621,x103622,f939(x103622,x103622)),f326(f326(f10(a927,f939(x103622,f939(x103622,x103622)),x103621),f96(x103622)),f326(f326(f9(x103621,f939(x103621,a927),a927),f328(x103621)),x103623))),x103624)),x103625)),x103626),f326(f78(f939(x103621,a927)),x103623))
% 198.08/197.85 [10363]~P1(f326(f326(f328(x103632),x103634),x103636))+~P1(f326(f326(f328(x103632),x103635),x103636))+E(f326(f310(x103631,x103632,f326(f326(f9(x103631,x103632,x103632),f326(f326(f9(x103631,x103632,f939(x103632,x103632)),f326(f326(f10(a927,f939(x103632,f939(x103632,x103632)),x103631),f96(x103632)),f326(f326(f9(x103631,f939(x103631,a927),a927),f328(x103631)),x103633))),x103634)),x103635)),x103636),f241(f939(x103631,a927)))
% 198.08/197.85 [8907]E(x89071,x89072)+~P61(x89074,x89075,x89073,x89076,x89077)+~E(f326(x89073,x89071),f326(x89073,x89072))
% 198.08/197.85 [8936]~P12(x89366,x89365,x89367,x89364,x89361)+E(f326(f326(x89361,x89362),x89363),x89364)+P1(f326(f61(x89365),x89363))
% 198.08/197.85 [9813]P47(x98131,x98132,x98133,x98134,x98135,f326(f326(x98133,x98136),x98137))+~E(f326(f326(x98133,x98136),x98137),x98134)+~E(x98135,f188(f939(x98131,a927)))
% 198.08/197.85 [9994]~P1(f326(x99946,x99943))+~P1(f326(f326(f328(f938(x99942,x99942)),f326(f326(f251(x99942,x99942),x99944),x99945)),f326(x99947,x99943)))+P1(f326(f326(f328(f938(f938(x99941,x99942),f938(x99941,x99942))),f326(f326(f251(f938(x99941,x99942),f938(x99941,x99942)),f326(f326(f251(x99941,x99942),x99943),x99944)),f326(f326(f251(x99941,x99942),x99943),x99945))),f279(x99941,x99942,x99946,x99947)))
% 198.08/197.85 [10426]~P47(x104262,x104267,x104263,x104266,x104261,f326(f326(x104263,x104265),x104264))+E(f326(f326(x104263,f713(x104264,x104265,x104261,x104266,x104263,x104267,x104262)),f724(x104264,x104265,x104261,x104266,x104263,x104267,x104262)),f326(f326(x104263,x104265),x104264))+E(x104261,f188(f939(x104262,a927)))
% 198.08/197.85 [10427]~P47(x104277,x104276,x104271,x104274,x104275,f326(f326(x104271,x104272),x104273))+E(f326(f326(x104271,f713(x104273,x104272,x104275,x104274,x104271,x104276,x104277)),f724(x104273,x104272,x104275,x104274,x104271,x104276,x104277)),f326(f326(x104271,x104272),x104273))+E(f326(f326(x104271,x104272),x104273),x104274)
% 198.08/197.85 [9489]~P38(x94891,x94892,x94893,x94895,x94897)+P38(x94891,x94892,x94893,f326(f326(f151(x94891),x94894),x94895),f326(f326(f151(x94892),x94896),x94897))+~P1(f326(f326(x94893,x94894),x94896))
% 198.08/197.85 [9507]P38(x95071,x95072,x95073,x95074,x95075)+~P38(x95071,x95072,x95073,f326(f326(f134(x95071),x95076),x95074),f326(f326(f134(x95072),x95077),x95075))+~E(f326(f189(f932(x95071)),x95076),f326(f189(f932(x95072)),x95077))
% 198.08/197.85 [9508]P38(x95081,x95082,x95083,x95084,x95085)+~P38(x95081,x95082,x95083,f326(f326(f134(x95081),x95084),x95086),f326(f326(f134(x95082),x95085),x95087))+~E(f326(f189(f932(x95081)),x95084),f326(f189(f932(x95082)),x95085))
% 198.08/197.85 [9719]~P38(x97191,x97192,x97193,x97195,x97197)+~P38(x97191,x97192,x97193,x97194,x97196)+P38(x97191,x97192,x97193,f326(f326(f134(x97191),x97194),x97195),f326(f326(f134(x97192),x97196),x97197))
% 198.08/197.85 [10068]~P1(f326(f66(x100681,x100684,x100685,x100686,x100683),x100687))+P1(f326(f66(x100681,x100684,x100685,x100686,f326(f326(f308(x100681),x100682),x100683)),f326(f326(x100685,x100682),x100687)))+P1(f326(f326(f328(x100681),x100682),x100683))
% 198.08/197.85 [10454]~P47(x104542,x104547,x104546,x104545,x104541,f326(f326(x104546,x104544),x104543))+E(x104541,f188(f939(x104542,a927)))+P1(f326(f326(f328(x104542),f713(x104543,x104544,x104541,x104545,x104546,x104547,x104542)),x104541))
% 198.08/197.85 [10455]~P47(x104555,x104557,x104551,x104554,x104556,f326(f326(x104551,x104552),x104553))+E(f326(f326(x104551,x104552),x104553),x104554)+P1(f326(f326(f328(x104555),f713(x104553,x104552,x104556,x104554,x104551,x104557,x104555)),x104556))
% 198.08/197.85 [10546]E(f326(f326(f251(x105461,x105462),x105463),x105464),f326(f326(f251(x105461,x105462),x105465),x105466))+P1(f326(f326(f328(f938(f938(x105461,x105462),f938(x105461,x105462))),f326(f326(f251(f938(x105461,x105462),f938(x105461,x105462)),f326(f326(f251(x105461,x105462),f856(x105467,x105464,x105463,x105466,x105465,x105462,x105461)),f857(x105467,x105464,x105463,x105466,x105465,x105462,x105461))),f326(f326(f251(x105461,x105462),x105463),x105464))),f306(f938(x105461,x105462),x105467)))+~P1(f326(f326(f328(f938(f938(x105461,x105462),f938(x105461,x105462))),f326(f326(f251(f938(x105461,x105462),f938(x105461,x105462)),f326(f326(f251(x105461,x105462),x105465),x105466)),f326(f326(f251(x105461,x105462),x105463),x105464))),f306(f938(x105461,x105462),x105467)))
% 198.08/197.85 [9179]~P23(x91794,x91795,x91796,x91797,x91791)+~P1(f326(f61(x91795),x91793))+E(f326(f326(x91791,x91792),x91793),f326(f326(f326(f65(x91794,x91795,x91796),x91792),x91797),x91793))
% 198.08/197.85 [9180]~P12(x91804,x91805,x91806,x91807,x91801)+~P1(f326(f61(x91805),x91803))+E(f326(f326(x91801,x91802),x91803),f326(f326(f326(f65(x91804,x91805,x91806),x91802),x91807),x91803))
% 198.08/197.85 [9777]~P26(x97771,x97772,f326(f326(f308(f930(x97771)),f326(f326(f326(f90(x97771),x97773),x97774),x97777)),f188(f939(f930(x97771),a927))))+P26(x97771,x97772,f326(f326(f308(f930(x97771)),f326(f326(f326(f90(x97771),x97773),f30(x97774,x97775)),x97776)),f188(f939(f930(x97771),a927))))+~P26(x97771,x97772,f326(f326(f308(f930(x97771)),f326(f326(f326(f90(x97771),x97777),x97775),x97776)),f188(f939(f930(x97771),a927))))
% 198.08/197.85 [9967]~P25(x99673,x99674,x99675,x99677,x99676,x99671)+~P1(f326(f61(x99674),x99672))+E(f326(x99671,x99672),f326(f326(f326(f65(x99673,x99674,x99675),x99676),x99677),x99672))
% 198.08/197.85 [10118]P47(x101181,x101182,x101183,x101184,x101185,f326(f326(x101183,x101186),x101187))+~P47(x101181,x101182,x101183,x101184,f326(f326(f3(f939(x101181,a927)),x101185),f326(f326(f308(x101181),x101186),f188(f939(x101181,a927)))),x101187)+~P1(f326(f326(f328(x101181),x101186),x101185))
% 198.08/197.85 [10394]~P26(x103941,x103942,f326(f326(f308(f930(x103941)),f326(f326(f326(f90(x103941),f92(x103941,x103943,x103944)),x103945),x103947)),f188(f939(f930(x103941),a927))))+P26(x103941,x103942,f326(f326(f308(f930(x103941)),f326(f326(f326(f90(x103941),x103943),f27(x103944,x103945,x103946)),x103947)),f188(f939(f930(x103941),a927))))+~P26(x103941,x103942,f326(f326(f308(f930(x103941)),f326(f326(f326(f90(x103941),f92(x103941,x103943,f326(f72(a927,a927,a929,a321),x103944))),x103946),x103947)),f188(f939(f930(x103941),a927))))
% 198.08/197.85 [10479]P1(f326(f326(x104797,f801(x104794,x104795,x104791,x104796,x104793,x104792,x104797)),f802(x104794,x104795,x104791,x104796,x104793,x104792,x104797)))+~P1(f326(f326(x104797,f326(f255(x104792,x104793),x104796)),f326(f250(x104792,x104793),x104796)))+P1(f326(x104791,f326(f326(f256(x104792,x104793,x104794),x104795),x104796)))
% 198.08/197.85 [10480]P26(x104807,x104806,f326(f326(f308(f930(x104807)),f326(f326(f326(f90(x104807),x104801),x104804),x104802)),f188(f939(f930(x104807),a927))))+~P26(x104807,x104806,f326(f326(f308(f930(x104807)),f326(f326(f326(f90(x104807),x104805),x104804),x104803)),f188(f939(f930(x104807),a927))))+P1(f326(f326(x104801,f348(x104802,x104801,x104803,x104804,x104805,x104806,x104807)),f358(x104802,x104801,x104803,x104804,x104805,x104806,x104807)))
% 198.08/197.85 [10490]~P47(x104902,x104903,x104904,x104905,x104901,f326(f326(x104904,x104907),x104906))+P47(x104902,x104903,x104904,x104905,f326(f326(f3(f939(x104902,a927)),x104901),f326(f326(f308(x104902),f713(x104906,x104907,x104901,x104905,x104904,x104903,x104902)),f188(f939(x104902,a927)))),f724(x104906,x104907,x104901,x104905,x104904,x104903,x104902))+E(x104901,f188(f939(x104902,a927)))
% 198.08/197.85 [10491]~P47(x104915,x104916,x104911,x104914,x104917,f326(f326(x104911,x104912),x104913))+P47(x104915,x104916,x104911,x104914,f326(f326(f3(f939(x104915,a927)),x104917),f326(f326(f308(x104915),f713(x104913,x104912,x104917,x104914,x104911,x104916,x104915)),f188(f939(x104915,a927)))),f724(x104913,x104912,x104917,x104914,x104911,x104916,x104915))+E(f326(f326(x104911,x104912),x104913),x104914)
% 198.08/197.85 [10492]~P26(x104921,x104922,f326(f326(f308(f930(x104921)),f326(f326(f326(f90(x104921),x104927),x104924),x104926)),f188(f939(f930(x104921),a927))))+P26(x104921,x104922,f326(f326(f308(f930(x104921)),f326(f326(f326(f90(x104921),x104923),x104924),x104925)),f188(f939(f930(x104921),a927))))+~P1(f326(f326(x104925,f348(x104925,x104923,x104926,x104924,x104927,x104922,x104921)),f369(x104925,x104923,x104926,x104924,x104927,x104922,x104921)))
% 198.08/197.85 [10513]~P1(f326(x105131,f326(f326(x105135,f802(x105134,x105135,x105131,x105136,x105133,x105132,x105137)),f801(x105134,x105135,x105131,x105136,x105133,x105132,x105137))))+~P1(f326(f326(x105137,f326(f255(x105132,x105133),x105136)),f326(f250(x105132,x105133),x105136)))+P1(f326(x105131,f326(f326(f256(x105132,x105133,x105134),x105135),x105136)))
% 198.08/197.85 [9798]P1(f326(f326(f234(f939(f938(x97981,x97982),a927)),f326(f326(f288(x97981,x97983,x97982),x97984),x97985)),f326(f326(f288(x97981,x97983,x97982),x97986),x97987)))+~P1(f326(f326(f234(f939(f938(x97983,x97982),a927)),x97985),x97987))+~P1(f326(f326(f234(f939(f938(x97981,x97983),a927)),x97984),x97986))
% 198.08/197.85 [10540]E(f326(f326(f251(x105401,x105402),x105403),x105404),f326(f326(f251(x105401,x105402),x105405),x105406))+~P1(f326(f326(f328(f938(f938(x105401,x105402),f938(x105401,x105402))),f326(f326(f251(f938(x105401,x105402),f938(x105401,x105402)),f326(f326(f251(x105401,x105402),x105403),x105404)),f326(f326(f251(x105401,x105402),x105405),x105406))),f306(f938(x105401,x105402),x105407)))+P1(f326(f326(f328(f938(f938(x105401,x105402),f938(x105401,x105402))),f326(f326(f251(f938(x105401,x105402),f938(x105401,x105402)),f326(f326(f251(x105401,x105402),x105403),x105404)),f326(f326(f251(x105401,x105402),f856(x105407,x105406,x105405,x105404,x105403,x105402,x105401)),f857(x105407,x105406,x105405,x105404,x105403,x105402,x105401)))),x105407))
% 198.08/197.85 [10129]~P1(f326(f326(f328(x101291),x101296),x101295))+P1(f326(f66(x101291,x101292,x101293,x101294,x101295),f326(f326(x101293,x101296),x101297)))+~P1(f326(f66(x101291,x101292,x101293,x101294,f326(f326(f3(f939(x101291,a927)),x101295),f326(f326(f308(x101291),x101296),f188(f939(x101291,a927))))),x101297))
% 198.08/197.85 [10553]~P149(x105531)+~P27(f938(x105532,x105533),x105531,f326(f256(x105532,x105533,x105531),f326(f326(f9(x105532,f939(x105533,x105531),f939(x105533,x105531)),f326(f326(f10(f939(x105531,x105531),f939(f939(x105533,x105531),f939(x105533,x105531)),x105532),f10(x105531,x105531,x105533)),f326(f326(f10(x105531,f939(x105531,x105531),x105532),f80(x105531)),x105534))),x105535)),f326(f326(f253(x105532,x105533),x105536),f326(f18(f939(x105533,a927),x105532),x105537)))+E(f326(f326(f8(x105531,x105531),f31(x105531)),f326(f261(x105531),f326(f326(f10(f939(x105532,a927),a927,x105531),f86(x105532)),f326(f326(f10(f939(x105532,f939(x105533,a927)),f939(x105532,a927),x105531),f326(f10(f939(x105533,a927),a927,x105532),f86(x105533))),f326(f326(f9(x105531,f939(x105532,f939(x105533,a927)),f939(x105532,f939(x105533,a927))),f326(f326(f10(f939(x105532,f939(f939(x105533,a927),f939(x105533,a927))),f939(f939(x105532,f939(x105533,a927)),f939(x105532,f939(x105533,a927))),x105531),f20(x105532,f939(x105533,a927),f939(x105533,a927))),f326(f326(f10(f939(x105532,f939(x105533,f939(a927,a927))),f939(x105532,f939(f939(x105533,a927),f939(x105533,a927))),x105531),f326(f10(f939(x105533,f939(a927,a927)),f939(f939(x105533,a927),f939(x105533,a927)),x105532),f20(x105533,a927,a927))),f326(f326(f10(f939(x105532,f939(x105533,a927)),f939(x105532,f939(x105533,f939(a927,a927))),x105531),f326(f10(f939(x105533,a927),f939(x105533,f939(a927,a927)),x105532),f326(f10(a927,f939(a927,a927),x105533),a324))),f326(f326(f9(x105531,f939(x105532,f939(x105533,x105531)),f939(x105532,f939(x105533,a927))),f326(f326(f10(f939(f939(x105533,x105531),f939(x105533,a927)),f939(f939(x105532,f939(x105533,x105531)),f939(x105532,f939(x105533,a927))),x105531),f10(f939(x105533,x105531),f939(x105533,a927),x105532)),f326(f326(f10(f939(x105531,a927),f939(f939(x105533,x105531),f939(x105533,a927)),x105531),f10(x105531,a927,x105533)),a323))),f326(f326(f9(x105532,f939(x105533,x105531),f939(x105533,x105531)),f326(f326(f10(f939(x105531,x105531),f939(f939(x105533,x105531),f939(x105533,x105531)),x105532),f10(x105531,x105531,x105533)),f326(f326(f10(x105531,f939(x105531,x105531),x105532),f80(x105531)),x105534))),x105535)))))),f326(f326(f9(x105532,f939(x105533,a927),f939(x105533,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x105533,a927),f939(x105533,a927)),x105532),f10(a927,a927,x105533)),f326(f326(f10(a927,f939(a927,a927),x105532),a324),f326(f326(f9(x105532,f939(x105532,a927),a927),f328(x105532)),x105536)))),f326(f326(f9(x105533,f939(x105533,a927),a927),f328(x105533)),x105537))))))),f326(f326(f80(x105531),f326(f326(f8(x105532,x105531),x105534),x105536)),f326(f326(f8(x105533,x105531),x105535),x105537)))
% 198.08/197.85 [9802]~P28(x98021,x98023,x98025,x98026,x98028)+~P28(x98023,x98022,x98024,x98028,x98027)+P28(x98021,x98022,f326(f72(x98023,x98022,x98021,x98024),x98025),x98026,x98027)
% 198.08/197.85 [9831]P28(x98311,x98312,x98313,x98314,x98315)+~P28(x98316,x98311,x98317,x98318,x98314)+~P28(x98316,x98312,f326(f72(x98311,x98312,x98316,x98313),x98317),x98318,x98315)
% 198.08/197.85 [9965]~P1(f326(f326(x99654,x99656),x99658))+~P1(f326(f326(x99655,x99658),x99657))+P1(f326(f326(f252(x99651,x99652,x99653,x99654,x99655),x99656),x99657))
% 198.08/197.85 [9559]~P21(x95598,x95591,x95593,x95595)+~P1(f326(f61(x95598),x95596))+E(f326(f72(x95591,x95591,x95592,f326(x95593,x95594)),f326(f72(x95591,x95591,x95592,f326(x95595,x95596)),x95597)),f326(f72(x95591,x95591,x95592,f326(x95595,x95596)),f326(f72(x95591,x95591,x95592,f326(x95593,x95594)),x95597)))
% 198.08/197.85 [9955]~P24(x99557,x99552,x99555,x99558,x99556,x99551)+~P1(f326(f61(x99552),x99554))+E(f326(x99551,f326(f326(f308(x99552),x99553),x99554)),f326(f326(x99555,f326(x99556,x99553)),f326(x99551,x99554)))
% 198.08/197.85 [10073]~P27(x100732,x100734,x100736,x100738)+~P27(x100731,x100733,x100735,x100737)+P27(f938(x100731,x100732),f938(x100733,x100734),f257(x100731,x100733,x100732,x100734,x100735,x100736),f326(f326(f253(x100731,x100732),x100737),f326(f18(f939(x100732,a927),x100731),x100738)))
% 198.08/197.85 [9745]P1(f326(f326(f328(f938(x97451,x97452)),f326(f326(f251(x97451,x97452),x97453),x97454)),f326(f326(f288(x97451,x97455,x97452),x97456),x97457)))+~P1(f326(f326(f328(f938(x97451,x97455)),f326(f326(f251(x97451,x97455),x97453),x97458)),x97456))+~P1(f326(f326(f328(f938(x97455,x97452)),f326(f326(f251(x97455,x97452),x97458),x97454)),x97457))
% 198.08/197.85 [9936]~P1(f326(f326(f234(f939(f938(x99363,x99362),a927)),x99365),f326(f326(f253(x99363,x99362),x99368),f326(f18(f939(x99362,a927),x99363),x99367))))+~P1(f326(f326(f234(f939(f938(x99361,x99363),a927)),x99364),f326(f326(f253(x99361,x99363),x99366),f326(f18(f939(x99363,a927),x99361),x99368))))+P1(f326(f326(f234(f939(f938(x99361,x99362),a927)),f326(f326(f288(x99361,x99363,x99362),x99364),x99365)),f326(f326(f253(x99361,x99362),x99366),f326(f18(f939(x99362,a927),x99361),x99367))))
% 198.08/197.85 [9989]~E(x99893,x99895)+P1(f326(f326(f328(f938(f938(x99891,x99892),f938(x99891,x99892))),f326(f326(f251(f938(x99891,x99892),f938(x99891,x99892)),f326(f326(f251(x99891,x99892),x99893),x99894)),f326(f326(f251(x99891,x99892),x99895),x99896))),f319(x99891,x99892,x99897,x99898)))+~P1(f326(f326(f328(f938(x99892,x99892)),f326(f326(f251(x99892,x99892),x99894),x99896)),x99898))
% 198.08/197.85 [10092]E(x100921,x100922)+~P1(f326(f326(f328(f938(f938(x100923,x100925),f938(x100923,x100925))),f326(f326(f251(f938(x100923,x100925),f938(x100923,x100925)),f326(f326(f251(x100923,x100925),x100921),x100926)),f326(f326(f251(x100923,x100925),x100922),x100927))),f319(x100923,x100925,x100924,x100928)))+P1(f326(f326(f328(f938(x100923,x100923)),f326(f326(f251(x100923,x100923),x100921),x100922)),x100924))
% 198.08/197.85 [10108]~P1(f326(f326(f328(f938(f938(x101081,x101085),f938(x101081,x101085))),f326(f326(f251(f938(x101081,x101085),f938(x101081,x101085)),f326(f326(f251(x101081,x101085),x101082),x101086)),f326(f326(f251(x101081,x101085),x101083),x101087))),f319(x101081,x101085,x101084,x101088)))+P1(f326(f326(f328(f938(x101081,x101081)),f326(f326(f251(x101081,x101081),x101082),x101083)),x101084))+P1(f326(f326(f328(f938(x101085,x101085)),f326(f326(f251(x101085,x101085),x101086),x101087)),x101088))
% 198.08/197.85 [10024]~P25(x100247,x100245,x100241,x100248,x100242,x100244)+~P1(f326(f61(x100245),x100246))+E(f326(f326(x100241,f326(x100242,x100243)),f326(x100244,f326(f326(f3(f939(x100245,a927)),x100246),f326(f326(f308(x100245),x100243),f188(f939(x100245,a927)))))),f326(x100244,f326(f326(f308(x100245),x100243),x100246)))
% 198.08/197.85 [9513]~P1(f326(f326(f326(x95135,x95138),x95136),x95137))+~P1(f326(f326(f328(x95131),x95138),x95134))+P1(f326(f326(f326(f326(f40(x95131,f939(x95132,f939(x95133,a927))),x95134),x95135),x95136),x95137))
% 198.08/197.85 [9730]P1(f326(f326(f326(x97301,x97302),x97303),x97304))+~P1(f326(f326(f328(x97305),x97302),x97306))+~P1(f326(f326(f326(f326(f39(x97305,f939(x97307,f939(x97308,a927))),x97306),x97301),x97303),x97304))
% 198.08/197.85 [9929]~P23(x99293,x99292,x99294,x99298,x99291)+~P1(f326(f61(x99292),x99297))+E(f326(f326(x99291,f326(f326(f20(x99292,x99293,x99293),f326(f326(f10(x99293,f939(x99293,x99293),x99292),x99294),x99295)),x99296)),x99297),f326(f326(x99294,f326(f326(x99291,x99295),x99297)),f326(f326(x99291,x99296),x99297)))
% 198.08/197.85 [10194]~E(f326(f309(x101942,x101944,x101946),x101948),x1019410)+~E(f326(f309(x101941,x101943,x101945),x101947),x101949)+E(f326(f309(f938(x101941,x101942),f938(x101943,x101944),f257(x101941,x101943,x101942,x101944,x101945,x101946)),f326(f326(f253(x101941,x101942),x101947),f326(f18(f939(x101942,a927),x101941),x101948))),f326(f326(f253(x101943,x101944),x101949),f326(f18(f939(x101944,a927),x101943),x1019410)))
% 198.08/197.85 [5128]~P48(x51281,x51282)+~P54(x51281,x51282)+~P55(x51281,x51282)+P9(x51281,x51282)
% 198.08/197.85 [5084]~P111(x50842)+~P15(x50842,x50841)+P15(x50842,f114(x50842,x50841))+E(x50841,f113(x50842))
% 198.08/197.85 [5085]~P111(x50852)+~P15(x50852,x50851)+P15(x50852,f719(x50851,x50852))+E(x50851,f113(x50852))
% 198.08/197.85 [5326]~P7(x53262)+E(f12(x53262,x53261),f37(x53262,x53261))+E(x53261,f188(f939(x53262,a927)))+~P1(f326(f61(x53262),x53261))
% 198.08/197.85 [5327]~P7(x53272)+E(f13(x53272,x53271),f38(x53272,x53271))+E(x53271,f188(f939(x53272,a927)))+~P1(f326(f61(x53272),x53271))
% 198.08/197.85 [5483]~P111(x54832)+~P15(x54832,x54831)+E(x54831,f113(x54832))+E(f326(f326(f151(x54832),f739(x54831,x54832)),f719(x54831,x54832)),x54831)
% 198.08/197.85 [6299]~P3(x62992)+E(x62991,f188(f939(x62992,a927)))+P1(f326(f326(f234(x62992),f13(x62992,x62991)),f12(x62992,x62991)))+~P1(f326(f61(x62992),x62991))
% 198.08/197.85 [6313]~P44(x63132)+~P44(x63131)+E(x63131,x63132)+~E(f326(f309(a1,a931,a104),x63131),f326(f309(a1,a931,a104),x63132))
% 198.08/197.85 [9363]~P122(x93631)+~P1(f326(f326(f328(x93631),x93632),f109(x93631)))+P1(f326(f326(f235(x93631),f326(f326(f79(x93631),f326(f326(f79(x93631),f77(x93631)),x93632)),x93632)),f2(x93631)))+~P1(f326(f326(f235(x93631),x93632),f2(x93631)))
% 198.08/197.85 [9612]~P122(x96121)+~P1(f326(f326(f328(x96121),x96122),f109(x96121)))+~P1(f326(f326(f235(x96121),f326(f326(f79(x96121),f326(f326(f79(x96121),f77(x96121)),x96122)),x96122)),f2(x96121)))+P1(f326(f326(f235(x96121),x96122),f2(x96121)))
% 198.08/197.85 [5143]~P118(x51432)+~P149(x51432)+E(x51431,f2(a931))+E(f326(f326(f243(x51432),f2(x51432)),x51431),f2(x51432))
% 198.08/197.85 [5146]~P118(x51461)+~P149(x51461)+~E(x51462,f2(a931))+E(f326(f326(f243(x51461),f2(x51461)),x51462),f77(x51461))
% 198.08/197.85 [5312]~P146(x53122)+E(x53121,f77(x53122))+E(x53121,f326(f78(x53122),f77(x53122)))+~E(f326(f326(f80(x53122),x53121),x53121),f77(x53122))
% 198.08/197.85 [5564]~P94(x55642)+E(x55641,f2(x55642))+E(f81(x55642,x55641),f326(f78(x55642),f77(x55642)))+P1(f326(f326(f235(x55642),f2(x55642)),x55641))
% 198.08/197.85 [5804]~P94(x58042)+E(f81(x58042,x58041),f77(x58042))+E(x58041,f2(x58042))+~P1(f326(f326(f235(x58042),f2(x58042)),x58041))
% 198.08/197.85 [5813]E(x58131,x58132)+~E(f326(f103(a931),x58131),f326(f103(a931),x58132))+P1(f326(a193,f326(f103(a1),x58132)))+P1(f326(a193,f326(f103(a1),x58131)))
% 198.08/197.85 [5864]~P96(x58641)+~E(x58642,f2(x58641))+E(f326(f326(f79(x58641),x58642),x58642),f2(x58641))+~P1(f326(f326(f328(x58641),x58642),f109(x58641)))
% 198.08/197.85 [5903]E(x59031,f2(a1))+~E(f326(f326(f36(a1),x59032),x59031),f2(a1))+P1(f326(f326(f235(a1),x59031),x59032))+P1(f326(f326(f235(a1),x59032),x59031))
% 198.08/197.85 [5933]E(x59331,f2(a1))+~E(f326(f326(f36(a1),x59332),x59331),f2(a1))+P1(f326(f326(f234(a1),x59332),f2(a1)))+P1(f326(f326(f235(a1),x59332),x59331))
% 198.08/197.85 [5967]E(x59671,f2(a1))+~E(f326(f326(f36(a1),x59672),x59671),f2(a1))+P1(f326(f326(f234(a1),f2(a1)),x59672))+P1(f326(f326(f235(a1),x59671),x59672))
% 198.08/197.85 [6002]~P96(x60022)+E(x60021,f2(x60022))+~E(f326(f326(f79(x60022),x60021),x60021),f2(x60022))+~P1(f326(f326(f328(x60022),x60021),f109(x60022)))
% 198.08/197.85 [6064]E(f326(f103(a931),x60641),f326(f103(a931),x60642))+~E(f326(f103(a1),x60642),f2(a1))+P1(f326(a193,f326(f103(a1),x60642)))+~P1(f326(a193,f326(f103(a1),x60641)))
% 198.08/197.85 [6096]~E(f326(f103(a931),x60962),f326(f103(a931),x60961))+E(f326(f103(a1),x60961),f2(a1))+P1(f326(a193,f326(f103(a1),x60961)))+~P1(f326(a193,f326(f103(a1),x60962)))
% 198.08/197.85 [6106]~P111(x61062)+E(x61061,f188(f939(x61062,a927)))+~P1(f326(f61(x61062),x61061))+P1(f326(f326(f328(x61062),f16(x61062,x61061)),x61061))
% 198.08/197.85 [6107]~P111(x61072)+E(x61071,f188(f939(x61072,a927)))+~P1(f326(f61(x61072),x61071))+P1(f326(f326(f328(x61072),f17(x61072,x61071)),x61071))
% 198.08/197.85 [6276]~P122(x62761)+~P98(x62761)+P1(f326(f326(f234(x62761),f2(x62761)),f326(f103(x62761),x62762)))+~P1(f326(f326(f234(a1),a82),x62762))
% 198.08/197.85 [6277]~P122(x62771)+~P98(x62771)+P1(f326(f326(f235(x62771),f2(x62771)),f326(f103(x62771),x62772)))+~P1(f326(f326(f235(a1),a82),x62772))
% 198.08/197.85 [6298]~P122(x62981)+~P98(x62981)+E(f326(f75(x62981),f326(f103(x62981),x62982)),f326(f103(x62981),x62982))+P1(f326(f326(f235(x62981),f326(f103(x62981),x62982)),f2(x62981)))
% 198.08/197.85 [6337]E(x63371,x63372)+~E(f326(a104,x63371),f326(a104,x63372))+~P1(f326(f326(f234(a1),f2(a1)),x63372))+~P1(f326(f326(f234(a1),f2(a1)),x63371))
% 198.08/197.85 [6531]~P98(x65312)+~P122(x65312)+~P1(f326(f326(f234(x65312),f2(x65312)),f326(f103(x65312),x65311)))+P1(f326(f326(f234(a1),a82),x65311))
% 198.08/197.85 [6532]~P98(x65322)+~P122(x65322)+~P1(f326(f326(f235(x65322),f2(x65322)),f326(f103(x65322),x65321)))+P1(f326(f326(f235(a1),a82),x65321))
% 198.08/197.85 [6537]~P122(x65371)+~P98(x65371)+P1(f326(f326(f234(x65371),f326(f103(x65371),x65372)),f2(x65371)))+~P1(f326(f326(f234(a1),x65372),a82))
% 198.08/197.85 [6538]~P122(x65381)+~P98(x65381)+P1(f326(f326(f235(x65381),f326(f103(x65381),x65382)),f2(x65381)))+~P1(f326(f326(f235(a1),x65382),a82))
% 198.08/197.85 [6855]~P98(x68552)+~P122(x68552)+~P1(f326(f326(f234(x68552),f326(f103(x68552),x68551)),f2(x68552)))+P1(f326(f326(f234(a1),x68551),a82))
% 198.08/197.85 [6856]~P98(x68562)+~P122(x68562)+~P1(f326(f326(f235(x68562),f326(f103(x68562),x68561)),f2(x68562)))+P1(f326(f326(f235(a1),x68561),a82))
% 198.08/197.85 [6947]~P122(x69471)+~P98(x69471)+E(f326(f75(x69471),f326(f103(x69471),x69472)),f326(f78(x69471),f326(f103(x69471),x69472)))+~P1(f326(f326(f235(x69471),f326(f103(x69471),x69472)),f2(x69471)))
% 198.08/197.85 [6965]E(f326(f103(a931),x69651),f326(f103(a931),x69652))+~E(f326(f103(a1),x69652),f2(a1))+~P1(f326(f326(f234(a1),f326(f103(a1),x69651)),f2(a1)))+~P1(f326(a193,f326(f103(a1),x69651)))
% 198.08/197.85 [7858]~P111(x78582)+E(x78581,f188(f939(x78582,a927)))+~P1(f326(f61(x78582),x78581))+P1(f326(f326(f234(x78582),f14(x78582,f232(x78582),x78581)),f15(x78582,f233(x78582),x78581)))
% 198.08/197.85 [8181]~P8(x81811)+~P44(x81812)+P1(f326(f326(f328(a1),x81811),x81812))+~P1(f326(f326(f328(a931),f326(a104,x81811)),f326(f309(a1,a931,a104),x81812)))
% 198.08/197.85 [6102]~P145(x61022)+E(x61021,f2(a1))+E(f326(f78(x61022),f326(f102(x61022),f326(f78(a1),x61021))),f326(f102(x61022),x61021))+~P1(f326(f326(f235(a1),x61021),f2(a1)))
% 198.08/197.85 [6180]~P96(x61801)+~P98(x61801)+~P32(x61801,f326(f103(x61801),x61802))+P32(x61801,f326(f103(x61801),f326(f326(f79(a1),x61802),x61802)))
% 198.08/197.85 [6520]~P81(x65202)+E(x65201,f188(f939(x65202,a927)))+E(f17(x65202,f326(f309(x65202,x65202,f78(x65202)),x65201)),f326(f78(x65202),f16(x65202,x65201)))+~P1(f326(f61(x65202),x65201))
% 198.08/197.85 [6521]~P81(x65212)+E(x65211,f188(f939(x65212,a927)))+E(f16(x65212,f326(f309(x65212,x65212,f78(x65212)),x65211)),f326(f78(x65212),f17(x65212,x65211)))+~P1(f326(f61(x65212),x65211))
% 198.08/197.85 [6554]~P96(x65541)+~P98(x65541)+P32(x65541,f326(f103(x65541),x65542))+~P32(x65541,f326(f103(x65541),f326(f326(f79(a1),x65542),x65542)))
% 198.08/197.85 [6646]E(x66461,f2(a1))+E(f326(a51,f50(f326(f78(a1),x66461),f326(f78(a1),x66462))),f46(x66461,x66462))+P1(f326(f326(f234(a1),f2(a1)),x66462))+~P1(f326(f326(f234(a1),f2(a1)),x66461))
% 198.08/197.85 [8964]~P44(x89642)+~P44(x89641)+P1(f326(f326(f235(f939(a931,a927)),f326(f309(a1,a931,a104),x89641)),f326(f309(a1,a931,a104),x89642)))+~P1(f326(f326(f235(f939(a1,a927)),x89641),x89642))
% 198.08/197.85 [9197]~E(f741(x91972,x91971),f742(x91972,x91971))+~P1(f326(f137(x91971),f743(x91972,x91971)))+~P1(f326(f137(f932(x91971)),x91972))+P1(f326(f137(x91971),f326(f142(f932(x91971),f932(x91971),f134(x91971),f113(x91971)),x91972)))
% 198.08/197.85 [9283]~P44(x92832)+~P44(x92831)+~P1(f326(f326(f234(f939(a931,a927)),f326(f309(a1,a931,a104),x92831)),f326(f309(a1,a931,a104),x92832)))+P1(f326(f326(f234(f939(a1,a927)),x92831),x92832))
% 198.08/197.85 [9284]~P44(x92842)+~P44(x92841)+~P1(f326(f326(f235(f939(a931,a927)),f326(f309(a1,a931,a104),x92841)),f326(f309(a1,a931,a104),x92842)))+P1(f326(f326(f235(f939(a1,a927)),x92841),x92842))
% 198.08/197.85 [9290]~E(f741(x92902,x92901),f742(x92902,x92901))+~P1(f326(f137(f932(x92901)),x92902))+P1(f326(f137(x92901),f326(f142(f932(x92901),f932(x92901),f134(x92901),f113(x92901)),x92902)))+P1(f326(f326(f328(f932(x92901)),f743(x92902,x92901)),f326(f172(f932(x92901)),x92902)))
% 198.08/197.85 [9331]~P1(f326(f137(x93311),f743(x93312,x93311)))+~P1(f326(f137(f932(x93311)),x93312))+P1(f326(f137(x93311),f326(f142(f932(x93311),f932(x93311),f134(x93311),f113(x93311)),x93312)))+P1(f326(f326(f328(f932(x93311)),f742(x93312,x93311)),f326(f172(f932(x93311)),x93312)))
% 198.08/197.85 [9332]~P1(f326(f137(x93321),f743(x93322,x93321)))+~P1(f326(f137(f932(x93321)),x93322))+P1(f326(f137(x93321),f326(f142(f932(x93321),f932(x93321),f134(x93321),f113(x93321)),x93322)))+P1(f326(f326(f328(f932(x93321)),f741(x93322,x93321)),f326(f172(f932(x93321)),x93322)))
% 198.08/197.85 [9416]~P1(f326(f137(f932(x94161)),x94162))+P1(f326(f137(x94161),f326(f142(f932(x94161),f932(x94161),f134(x94161),f113(x94161)),x94162)))+P1(f326(f326(f328(f932(x94161)),f742(x94162,x94161)),f326(f172(f932(x94161)),x94162)))+P1(f326(f326(f328(f932(x94161)),f743(x94162,x94161)),f326(f172(f932(x94161)),x94162)))
% 198.08/197.85 [9417]~P1(f326(f137(f932(x94171)),x94172))+P1(f326(f137(x94171),f326(f142(f932(x94171),f932(x94171),f134(x94171),f113(x94171)),x94172)))+P1(f326(f326(f328(f932(x94171)),f741(x94172,x94171)),f326(f172(f932(x94171)),x94172)))+P1(f326(f326(f328(f932(x94171)),f743(x94172,x94171)),f326(f172(f932(x94171)),x94172)))
% 198.08/197.85 [9432]~E(f326(f326(f101(f939(x94321,a927)),f326(f172(x94321),f742(x94322,x94321))),f326(f172(x94321),f741(x94322,x94321))),f188(f939(x94321,a927)))+~P1(f326(f137(x94321),f743(x94322,x94321)))+~P1(f326(f137(f932(x94321)),x94322))+P1(f326(f137(x94321),f326(f142(f932(x94321),f932(x94321),f134(x94321),f113(x94321)),x94322)))
% 198.08/197.85 [9495]~E(f326(f326(f101(f939(x94951,a927)),f326(f172(x94951),f742(x94952,x94951))),f326(f172(x94951),f741(x94952,x94951))),f188(f939(x94951,a927)))+~P1(f326(f137(f932(x94951)),x94952))+P1(f326(f137(x94951),f326(f142(f932(x94951),f932(x94951),f134(x94951),f113(x94951)),x94952)))+P1(f326(f326(f328(f932(x94951)),f743(x94952,x94951)),f326(f172(f932(x94951)),x94952)))
% 198.08/197.85 [9770]E(x97701,f2(a1))+E(x97702,f2(a1))+E(f326(f326(f85(a1,f938(a1,a1)),f326(f326(a217,x97702),x97701)),f326(f326(f20(a1,a1,f938(a1,a1)),f326(f326(f10(a1,f939(a1,f938(a1,a1)),a1),f251(a1,a1)),f326(f36(a1),x97702))),f326(f36(a1),x97701))),f215(x97702,x97701))+P1(f326(f326(f235(a1),x97701),f2(a1)))
% 198.08/197.85 [8510]~P98(x85102)+~P122(x85102)+~P1(f326(f326(f234(x85102),f326(f103(x85102),x85101)),f77(x85102)))+P1(f326(f326(f234(a1),x85101),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 198.08/197.85 [8511]~P98(x85112)+~P122(x85112)+~P1(f326(f326(f235(x85112),f326(f103(x85112),x85111)),f77(x85112)))+P1(f326(f326(f235(a1),x85111),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 198.08/197.85 [8780]~P122(x87801)+~P98(x87801)+P1(f326(f326(f234(x87801),f326(f103(x87801),x87802)),f77(x87801)))+~P1(f326(f326(f234(a1),x87802),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 198.08/197.85 [8781]~P122(x87811)+~P98(x87811)+P1(f326(f326(f235(x87811),f326(f103(x87811),x87812)),f77(x87811)))+~P1(f326(f326(f235(a1),x87812),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))
% 198.08/197.85 [8992]~P98(x89922)+~P122(x89922)+~P1(f326(f326(f234(x89922),f77(x89922)),f326(f103(x89922),x89921)))+P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89921))
% 198.08/197.85 [8993]~P98(x89932)+~P122(x89932)+~P1(f326(f326(f235(x89932),f77(x89932)),f326(f103(x89932),x89931)))+P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x89931))
% 198.08/197.85 [9369]~P122(x93691)+~P98(x93691)+P1(f326(f326(f234(x93691),f77(x93691)),f326(f103(x93691),x93692)))+~P1(f326(f326(f234(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x93692))
% 198.08/197.85 [9370]~P122(x93701)+~P98(x93701)+P1(f326(f326(f235(x93701),f77(x93701)),f326(f103(x93701),x93702)))+~P1(f326(f326(f235(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),x93702))
% 198.08/197.85 [9902]~P146(x99022)+E(x99021,f77(x99022))+E(x99021,f326(f78(x99022),f77(x99022)))+~E(f326(f326(f243(x99022),x99021),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f77(x99022))
% 198.08/197.85 [10170]~P70(x101701)+~P98(x101701)+~P1(f326(f326(f235(x101701),f2(x101701)),x101702))+P1(f326(f326(f235(x101701),f2(x101701)),f326(f326(f290(x101701),x101702),f326(f103(x101701),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 198.08/197.85 [10224]~P70(x102241)+~P98(x102241)+P1(f326(f326(f235(x102241),f2(x102241)),x102242))+~P1(f326(f326(f235(x102241),f2(x102241)),f326(f326(f290(x102241),x102242),f326(f103(x102241),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 198.08/197.85 [10520]~P145(x105202)+E(x105201,f2(a1))+P1(f326(f326(f235(a1),x105201),f2(a1)))+E(f326(f326(f256(a1,a1,x105202),f326(f326(f9(a1,f939(a1,f939(x105202,x105202)),f939(a1,x105202)),f326(f326(f10(f939(f939(x105202,x105202),x105202),f939(f939(a1,f939(x105202,x105202)),f939(a1,x105202)),a1),f10(f939(x105202,x105202),x105202,a1)),f326(f326(f10(x105202,f939(f939(x105202,x105202),x105202),a1),f85(x105202,x105202)),f102(x105202)))),f326(f326(f9(a1,f939(x105202,x105202),f939(x105202,x105202)),f326(f326(f10(f939(x105202,f939(x105202,x105202)),f939(f939(x105202,x105202),f939(x105202,x105202)),a1),f20(x105202,x105202,x105202)),f326(f326(f9(a1,f939(x105202,x105202),f939(x105202,f939(x105202,x105202))),f326(f326(f10(f939(x105202,f939(x105202,x105202)),f939(f939(x105202,x105202),f939(x105202,f939(x105202,x105202))),a1),f10(x105202,f939(x105202,x105202),x105202)),f326(f326(f10(a927,f939(x105202,f939(x105202,x105202)),a1),f96(x105202)),f326(f326(f9(a1,a1,a927),a323),f2(a1))))),f326(f326(f20(x105202,x105202,x105202),f79(x105202)),f7(x105202))))),f326(f326(f9(x105202,x105202,x105202),f326(f326(f10(x105202,f939(x105202,x105202),x105202),f79(x105202)),f326(f326(f20(x105202,x105202,x105202),f79(x105202)),f7(x105202)))),f77(x105202))))),f46(x105201,f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f102(x105202),x105201))
% 198.08/197.85 [5573]~P42(x55731,x55733)+~P56(x55731,x55733)+~P57(x55731,x55732,x55733)+P10(x55731,x55732,x55733)
% 198.08/197.85 [5112]~P96(x51123)+~P98(x51123)+E(x51121,x51122)+~E(f326(f103(x51123),x51121),f326(f103(x51123),x51122))
% 198.08/197.85 [5583]~P54(x55831,x55832)+~P55(x55831,x55832)+P17(x55831,x55832)+~P1(f326(f326(x55832,x55833),x55833))
% 198.08/197.85 [6079]P17(x60792,x60791)+E(f326(x60791,f818(x60791)),f326(x60791,f819(x60791)))+P1(f326(f326(x60791,f818(x60791)),f819(x60791)))+~P1(f326(f326(x60791,x60793),x60793))
% 198.08/197.85 [6286]~P1(f326(x62861,x62862))+~P1(f326(x62861,x62863))+~P1(f326(f326(f234(a931),x62863),f899(x62862,x62861)))+P1(f326(x62861,f2(a931)))
% 198.08/197.85 [6357]P17(x63571,x63572)+P1(f326(f326(x63572,f818(x63572)),f818(x63572)))+P1(f326(f326(x63572,f818(x63572)),f819(x63572)))+~P1(f326(f326(x63572,x63573),x63573))
% 198.08/197.85 [6358]P17(x63581,x63582)+P1(f326(f326(x63582,f818(x63582)),f819(x63582)))+P1(f326(f326(x63582,f819(x63582)),f819(x63582)))+~P1(f326(f326(x63582,x63583),x63583))
% 198.08/197.85 [6711]P151(x67112,x67113,x67111)+E(x67111,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f877(x67111,x67113,x67112)))+P1(f326(f326(f235(a1),x67111),f2(a1)))
% 198.08/197.85 [6712]P150(x67122,x67123,x67121)+E(x67121,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f881(x67121,x67123,x67122)))+P1(f326(f326(f235(a1),x67121),f2(a1)))
% 198.08/197.85 [6836]P150(x68361,x68362,x68363)+~P1(f326(x68361,x68362))+P1(f326(f326(f234(a1),f2(a1)),f881(x68363,x68362,x68361)))+P1(f326(f326(f235(a1),x68363),f2(a1)))
% 198.08/197.85 [6861]P151(x68611,x68612,x68613)+P1(f326(f326(f234(a1),f2(a1)),f877(x68613,x68612,x68611)))+~P1(f326(x68611,f2(a1)))+P1(f326(f326(f235(a1),x68613),f2(a1)))
% 198.08/197.85 [6891]P151(x68912,x68913,x68911)+E(x68911,f2(a1))+~P1(f326(x68912,f878(x68911,x68913,x68912)))+P1(f326(f326(f235(a1),x68911),f2(a1)))
% 198.08/197.85 [6892]P150(x68922,x68923,x68921)+E(x68921,f2(a1))+~P1(f326(x68922,f881(x68921,x68923,x68922)))+P1(f326(f326(f235(a1),x68921),f2(a1)))
% 198.08/197.85 [6991]~P111(x69911)+~P7(x69911)+~P1(f326(f326(f235(x69911),x69912),f37(x69911,x69913)))+P1(f326(f326(f235(x69911),x69912),f915(x69913,x69912,x69911)))
% 198.08/197.85 [7001]P150(x70011,x70012,x70013)+~P1(f326(x70011,x70012))+~P1(f326(x70011,f881(x70013,x70012,x70011)))+P1(f326(f326(f235(a1),x70013),f2(a1)))
% 198.08/197.85 [7032]P151(x70321,x70322,x70323)+~P1(f326(x70321,f878(x70323,x70322,x70321)))+~P1(f326(x70321,f2(a1)))+P1(f326(f326(f235(a1),x70323),f2(a1)))
% 198.08/197.85 [7282]P151(x72822,x72823,x72821)+E(x72821,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f877(x72821,x72823,x72822)))+P1(f326(f326(f235(a1),x72821),f876(x72821,x72823,x72822)))
% 198.08/197.85 [7283]P150(x72832,x72833,x72831)+E(x72831,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f881(x72831,x72833,x72832)))+P1(f326(f326(f235(a1),x72831),f880(x72831,x72833,x72832)))
% 198.08/197.85 [7403]P150(x74031,x74032,x74033)+~P1(f326(x74031,x74032))+P1(f326(f326(f234(a1),f2(a1)),f881(x74033,x74032,x74031)))+P1(f326(f326(f235(a1),x74033),f880(x74033,x74032,x74031)))
% 198.08/197.85 [7424]P151(x74241,x74242,x74243)+P1(f326(f326(f234(a1),f2(a1)),f877(x74243,x74242,x74241)))+P1(f326(f326(f235(a1),x74243),f876(x74243,x74242,x74241)))+~P1(f326(x74241,f2(a1)))
% 198.08/197.85 [7457]P151(x74572,x74573,x74571)+E(x74571,f2(a1))+~P1(f326(x74572,f878(x74571,x74573,x74572)))+P1(f326(f326(f235(a1),x74571),f876(x74571,x74573,x74572)))
% 198.08/197.85 [7458]P150(x74582,x74583,x74581)+E(x74581,f2(a1))+~P1(f326(x74582,f881(x74581,x74583,x74582)))+P1(f326(f326(f235(a1),x74581),f880(x74581,x74583,x74582)))
% 198.08/197.85 [7502]P151(x75022,x75023,x75021)+E(x75021,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f877(x75021,x75023,x75022)))+~P1(f326(x75022,f879(x75021,x75023,x75022)))
% 198.08/197.85 [7503]P150(x75032,x75033,x75031)+E(x75031,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f881(x75031,x75033,x75032)))+~P1(f326(x75032,f880(x75031,x75033,x75032)))
% 198.08/197.85 [7604]P150(x76041,x76042,x76043)+~P1(f326(x76041,x76042))+~P1(f326(x76041,f881(x76043,x76042,x76041)))+P1(f326(f326(f235(a1),x76043),f880(x76043,x76042,x76041)))
% 198.08/197.85 [7619]P151(x76191,x76192,x76193)+~P1(f326(x76191,f878(x76193,x76192,x76191)))+P1(f326(f326(f235(a1),x76193),f876(x76193,x76192,x76191)))+~P1(f326(x76191,f2(a1)))
% 198.08/197.85 [7622]P150(x76221,x76222,x76223)+~P1(f326(x76221,x76222))+P1(f326(f326(f234(a1),f2(a1)),f881(x76223,x76222,x76221)))+~P1(f326(x76221,f880(x76223,x76222,x76221)))
% 198.08/197.85 [7640]P151(x76401,x76402,x76403)+P1(f326(f326(f234(a1),f2(a1)),f877(x76403,x76402,x76401)))+~P1(f326(x76401,f879(x76403,x76402,x76401)))+~P1(f326(x76401,f2(a1)))
% 198.08/197.85 [7661]P151(x76612,x76613,x76611)+E(x76611,f2(a1))+~P1(f326(x76612,f878(x76611,x76613,x76612)))+~P1(f326(x76612,f879(x76611,x76613,x76612)))
% 198.08/197.85 [7662]P150(x76622,x76623,x76621)+E(x76621,f2(a1))+~P1(f326(x76622,f881(x76621,x76623,x76622)))+~P1(f326(x76622,f880(x76621,x76623,x76622)))
% 198.08/197.85 [7754]P150(x77541,x77542,x77543)+~P1(f326(x77541,x77542))+~P1(f326(x77541,f881(x77543,x77542,x77541)))+~P1(f326(x77541,f880(x77543,x77542,x77541)))
% 198.08/197.85 [7771]P151(x77711,x77712,x77713)+~P1(f326(x77711,f878(x77713,x77712,x77711)))+~P1(f326(x77711,f879(x77713,x77712,x77711)))+~P1(f326(x77711,f2(a1)))
% 198.08/197.85 [7817]P151(x78172,x78173,x78171)+E(x78171,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f877(x78171,x78173,x78172)))+P1(f326(f326(f234(a1),f876(x78171,x78173,x78172)),f2(a1)))
% 198.08/197.85 [7818]P150(x78182,x78183,x78181)+E(x78181,f2(a1))+P1(f326(f326(f234(a1),f2(a1)),f881(x78181,x78183,x78182)))+P1(f326(f326(f234(a1),f880(x78181,x78183,x78182)),f2(a1)))
% 198.08/197.85 [7819]~P145(x78191)+~P1(f326(f326(f328(x78191),x78193),f109(x78191)))+~P1(f326(f326(f328(x78191),x78192),f109(x78191)))+P1(f326(f326(f328(x78191),f326(f326(f3(x78191),x78192),x78193)),f109(x78191)))
% 198.08/197.85 [7820]~P145(x78201)+~P1(f326(f326(f328(x78201),x78203),f109(x78201)))+~P1(f326(f326(f328(x78201),x78202),f109(x78201)))+P1(f326(f326(f328(x78201),f326(f326(f80(x78201),x78202),x78203)),f109(x78201)))
% 198.08/197.85 [7821]~P148(x78211)+~P1(f326(f326(f328(x78211),x78213),f186(x78211)))+~P1(f326(f326(f328(x78211),x78212),f186(x78211)))+P1(f326(f326(f328(x78211),f326(f326(f80(x78211),x78212),x78213)),f186(x78211)))
% 198.08/197.85 [7822]~P145(x78221)+~P1(f326(f326(f328(x78221),x78223),f109(x78221)))+~P1(f326(f326(f328(x78221),x78222),f109(x78221)))+P1(f326(f326(f328(x78221),f326(f326(f79(x78221),x78222),x78223)),f109(x78221)))
% 198.08/197.85 [7823]~P148(x78231)+~P1(f326(f326(f328(x78231),x78233),f186(x78231)))+~P1(f326(f326(f328(x78231),x78232),f186(x78231)))+P1(f326(f326(f328(x78231),f326(f326(f79(x78231),x78232),x78233)),f186(x78231)))
% 198.08/197.85 [7824]~P92(x78241)+~P1(f326(f326(f234(x78241),x78243),f2(x78241)))+~P1(f326(f326(f234(x78241),x78242),f2(x78241)))+P1(f326(f326(f234(x78241),f326(f326(f79(x78241),x78242),x78243)),f2(x78241)))
% 198.08/197.85 [7825]~P92(x78251)+~P1(f326(f326(f234(x78251),x78253),f2(x78251)))+~P1(f326(f326(f235(x78251),x78252),f2(x78251)))+P1(f326(f326(f235(x78251),f326(f326(f79(x78251),x78252),x78253)),f2(x78251)))
% 198.08/197.85 [7826]~P92(x78261)+~P1(f326(f326(f234(x78261),x78262),f2(x78261)))+~P1(f326(f326(f235(x78261),x78263),f2(x78261)))+P1(f326(f326(f235(x78261),f326(f326(f79(x78261),x78262),x78263)),f2(x78261)))
% 198.08/197.85 [7827]~P92(x78271)+~P1(f326(f326(f235(x78271),x78273),f2(x78271)))+~P1(f326(f326(f235(x78271),x78272),f2(x78271)))+P1(f326(f326(f235(x78271),f326(f326(f79(x78271),x78272),x78273)),f2(x78271)))
% 198.08/197.85 [7854]P151(x78543,x78542,x78541)+E(x78541,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78541),f878(x78541,x78542,x78543))),f877(x78541,x78542,x78543)),x78542)+P1(f326(f326(f235(a1),x78541),f2(a1)))
% 198.08/197.85 [7855]P150(x78553,x78552,x78551)+E(x78551,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78551),f882(x78551,x78552,x78553))),f881(x78551,x78552,x78553)),x78552)+P1(f326(f326(f235(a1),x78551),f2(a1)))
% 198.08/197.85 [7938]P150(x79381,x79382,x79383)+~P1(f326(x79381,x79382))+P1(f326(f326(f234(a1),f2(a1)),f881(x79383,x79382,x79381)))+P1(f326(f326(f234(a1),f880(x79383,x79382,x79381)),f2(a1)))
% 198.08/197.85 [7967]P151(x79671,x79672,x79673)+P1(f326(f326(f234(a1),f2(a1)),f877(x79673,x79672,x79671)))+~P1(f326(x79671,f2(a1)))+P1(f326(f326(f234(a1),f876(x79673,x79672,x79671)),f2(a1)))
% 198.08/197.85 [7976]P150(x79763,x79762,x79761)+~P1(f326(x79763,x79762))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79761),f882(x79761,x79762,x79763))),f881(x79761,x79762,x79763)),x79762)+P1(f326(f326(f235(a1),x79761),f2(a1)))
% 198.08/197.85 [7982]P151(x79822,x79823,x79821)+E(x79821,f2(a1))+~P1(f326(x79822,f878(x79821,x79823,x79822)))+P1(f326(f326(f234(a1),f876(x79821,x79823,x79822)),f2(a1)))
% 198.08/197.85 [7983]P150(x79832,x79833,x79831)+E(x79831,f2(a1))+~P1(f326(x79832,f881(x79831,x79833,x79832)))+P1(f326(f326(f234(a1),f880(x79831,x79833,x79832)),f2(a1)))
% 198.08/197.85 [7988]P151(x79883,x79882,x79881)+E(f326(f326(f79(a1),f326(f326(f80(a1),x79881),f878(x79881,x79882,x79883))),f877(x79881,x79882,x79883)),x79882)+~P1(f326(x79883,f2(a1)))+P1(f326(f326(f235(a1),x79881),f2(a1)))
% 198.08/197.85 [8044]P150(x80441,x80442,x80443)+~P1(f326(x80441,x80442))+~P1(f326(x80441,f881(x80443,x80442,x80441)))+P1(f326(f326(f234(a1),f880(x80443,x80442,x80441)),f2(a1)))
% 198.08/197.85 [8048]P151(x80481,x80482,x80483)+~P1(f326(x80481,f878(x80483,x80482,x80481)))+~P1(f326(x80481,f2(a1)))+P1(f326(f326(f234(a1),f876(x80483,x80482,x80481)),f2(a1)))
% 198.08/197.85 [8121]~P130(x81211)+~P1(f326(f326(f234(x81211),f326(f326(f80(x81211),x81213),x81212)),f2(x81211)))+P1(f326(f326(f234(x81211),x81212),f2(x81211)))+P1(f326(f326(f234(x81211),x81213),f2(x81211)))
% 198.08/197.85 [8122]~P70(x81221)+~P1(f326(f326(f234(x81221),f326(f326(f290(x81221),x81223),x81222)),f2(x81221)))+P1(f326(f326(f234(x81221),x81222),f2(x81221)))+P1(f326(f326(f234(x81221),x81223),f2(x81221)))
% 198.08/197.85 [8123]~P70(x81231)+~P1(f326(f326(f235(x81231),f326(f326(f290(x81231),x81233),x81232)),f2(x81231)))+P1(f326(f326(f235(x81231),x81232),f2(x81231)))+P1(f326(f326(f235(x81231),x81233),f2(x81231)))
% 198.08/197.85 [8237]P151(x82373,x82372,x82371)+E(x82371,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82371),f878(x82371,x82372,x82373))),f877(x82371,x82372,x82373)),x82372)+P1(f326(f326(f235(a1),x82371),f876(x82371,x82372,x82373)))
% 198.08/197.85 [8238]P150(x82383,x82382,x82381)+E(x82381,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82381),f882(x82381,x82382,x82383))),f881(x82381,x82382,x82383)),x82382)+P1(f326(f326(f235(a1),x82381),f880(x82381,x82382,x82383)))
% 198.08/197.85 [8250]P151(x82503,x82502,x82501)+E(x82501,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82501),f879(x82501,x82502,x82503))),f876(x82501,x82502,x82503)),x82502)+P1(f326(f326(f234(a1),f2(a1)),f877(x82501,x82502,x82503)))
% 198.08/197.85 [8251]P150(x82513,x82512,x82511)+E(x82511,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82511),f883(x82511,x82512,x82513))),f880(x82511,x82512,x82513)),x82512)+P1(f326(f326(f234(a1),f2(a1)),f881(x82511,x82512,x82513)))
% 198.08/197.85 [8296]P150(x82963,x82962,x82961)+~P1(f326(x82963,x82962))+E(f326(f326(f79(a1),f326(f326(f80(a1),x82961),f882(x82961,x82962,x82963))),f881(x82961,x82962,x82963)),x82962)+P1(f326(f326(f235(a1),x82961),f880(x82961,x82962,x82963)))
% 198.08/197.85 [8305]P151(x83053,x83052,x83051)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83051),f878(x83051,x83052,x83053))),f877(x83051,x83052,x83053)),x83052)+P1(f326(f326(f235(a1),x83051),f876(x83051,x83052,x83053)))+~P1(f326(x83053,f2(a1)))
% 198.08/197.85 [8311]P150(x83113,x83112,x83111)+~P1(f326(x83113,x83112))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83111),f883(x83111,x83112,x83113))),f880(x83111,x83112,x83113)),x83112)+P1(f326(f326(f234(a1),f2(a1)),f881(x83111,x83112,x83113)))
% 198.08/197.85 [8317]P151(x83173,x83172,x83171)+E(f326(f326(f79(a1),f326(f326(f80(a1),x83171),f879(x83171,x83172,x83173))),f876(x83171,x83172,x83173)),x83172)+P1(f326(f326(f234(a1),f2(a1)),f877(x83171,x83172,x83173)))+~P1(f326(x83173,f2(a1)))
% 198.08/197.85 [8328]P151(x83283,x83282,x83281)+E(x83281,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83281),f878(x83281,x83282,x83283))),f877(x83281,x83282,x83283)),x83282)+~P1(f326(x83283,f879(x83281,x83282,x83283)))
% 198.08/197.85 [8329]P150(x83293,x83292,x83291)+E(x83291,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83291),f882(x83291,x83292,x83293))),f881(x83291,x83292,x83293)),x83292)+~P1(f326(x83293,f880(x83291,x83292,x83293)))
% 198.08/197.85 [8330]P151(x83303,x83302,x83301)+E(x83301,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83301),f879(x83301,x83302,x83303))),f876(x83301,x83302,x83303)),x83302)+~P1(f326(x83303,f878(x83301,x83302,x83303)))
% 198.08/197.85 [8331]P150(x83313,x83312,x83311)+E(x83311,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83311),f883(x83311,x83312,x83313))),f880(x83311,x83312,x83313)),x83312)+~P1(f326(x83313,f881(x83311,x83312,x83313)))
% 198.08/197.85 [8392]P150(x83923,x83922,x83921)+~P1(f326(x83923,x83922))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83921),f882(x83921,x83922,x83923))),f881(x83921,x83922,x83923)),x83922)+~P1(f326(x83923,f880(x83921,x83922,x83923)))
% 198.08/197.85 [8393]P150(x83933,x83932,x83931)+~P1(f326(x83933,x83932))+E(f326(f326(f79(a1),f326(f326(f80(a1),x83931),f883(x83931,x83932,x83933))),f880(x83931,x83932,x83933)),x83932)+~P1(f326(x83933,f881(x83931,x83932,x83933)))
% 198.08/197.85 [8406]P151(x84063,x84062,x84061)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84061),f878(x84061,x84062,x84063))),f877(x84061,x84062,x84063)),x84062)+~P1(f326(x84063,f879(x84061,x84062,x84063)))+~P1(f326(x84063,f2(a1)))
% 198.08/197.85 [8407]P151(x84073,x84072,x84071)+E(f326(f326(f79(a1),f326(f326(f80(a1),x84071),f879(x84071,x84072,x84073))),f876(x84071,x84072,x84073)),x84072)+~P1(f326(x84073,f878(x84071,x84072,x84073)))+~P1(f326(x84073,f2(a1)))
% 198.08/197.85 [8503]P151(x85033,x85032,x85031)+E(x85031,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85031),f878(x85031,x85032,x85033))),f877(x85031,x85032,x85033)),x85032)+P1(f326(f326(f234(a1),f876(x85031,x85032,x85033)),f2(a1)))
% 198.08/197.85 [8504]P150(x85043,x85042,x85041)+E(x85041,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85041),f882(x85041,x85042,x85043))),f881(x85041,x85042,x85043)),x85042)+P1(f326(f326(f234(a1),f880(x85041,x85042,x85043)),f2(a1)))
% 198.08/197.85 [8543]P150(x85433,x85432,x85431)+~P1(f326(x85433,x85432))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85431),f882(x85431,x85432,x85433))),f881(x85431,x85432,x85433)),x85432)+P1(f326(f326(f234(a1),f880(x85431,x85432,x85433)),f2(a1)))
% 198.08/197.85 [8548]P151(x85483,x85482,x85481)+E(f326(f326(f79(a1),f326(f326(f80(a1),x85481),f878(x85481,x85482,x85483))),f877(x85481,x85482,x85483)),x85482)+~P1(f326(x85483,f2(a1)))+P1(f326(f326(f234(a1),f876(x85481,x85482,x85483)),f2(a1)))
% 198.08/197.85 [8682]P151(x86823,x86822,x86821)+E(x86821,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86821),f879(x86821,x86822,x86823))),f876(x86821,x86822,x86823)),x86822)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86821),f878(x86821,x86822,x86823))),f877(x86821,x86822,x86823)),x86822)
% 198.08/197.85 [8683]P150(x86833,x86832,x86831)+E(x86831,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x86831),f883(x86831,x86832,x86833))),f880(x86831,x86832,x86833)),x86832)+E(f326(f326(f79(a1),f326(f326(f80(a1),x86831),f882(x86831,x86832,x86833))),f881(x86831,x86832,x86833)),x86832)
% 198.08/197.85 [8703]P150(x87033,x87032,x87031)+~P1(f326(x87033,x87032))+E(f326(f326(f79(a1),f326(f326(f80(a1),x87031),f883(x87031,x87032,x87033))),f880(x87031,x87032,x87033)),x87032)+E(f326(f326(f79(a1),f326(f326(f80(a1),x87031),f882(x87031,x87032,x87033))),f881(x87031,x87032,x87033)),x87032)
% 198.08/197.85 [8714]P151(x87143,x87142,x87141)+E(f326(f326(f79(a1),f326(f326(f80(a1),x87141),f879(x87141,x87142,x87143))),f876(x87141,x87142,x87143)),x87142)+E(f326(f326(f79(a1),f326(f326(f80(a1),x87141),f878(x87141,x87142,x87143))),f877(x87141,x87142,x87143)),x87142)+~P1(f326(x87143,f2(a1)))
% 198.08/197.85 [9377]~P130(x93771)+~E(x93773,f2(x93771))+~E(x93772,f2(x93771))+P1(f326(f326(f234(x93771),f326(f326(f79(x93771),f326(f326(f80(x93771),x93772),x93772)),f326(f326(f80(x93771),x93773),x93773))),f2(x93771)))
% 198.08/197.85 [10457]~P122(x104571)+~E(x104573,f2(x104571))+~E(x104572,f2(x104571))+P1(f326(f326(f234(x104571),f326(f326(f79(x104571),f326(f326(f243(x104571),x104572),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104571),x104573),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))),f2(x104571)))
% 198.08/197.85 [5060]~E(x50603,x50601)+~P126(x50602)+E(x50601,f2(x50602))+E(f326(f326(f290(x50602),x50603),x50601),f77(x50602))
% 198.08/197.85 [5113]~P4(x51131)+~E(x51133,f188(x51131))+~E(x51132,f188(x51131))+E(f326(f326(f110(x51131),x51132),x51133),f188(x51131))
% 198.08/197.85 [5114]~P103(x51141)+~E(x51143,f241(x51141))+~E(x51142,f241(x51141))+E(f326(f326(f101(x51141),x51142),x51143),f241(x51141))
% 198.08/197.85 [5207]~P126(x52073)+E(x52071,x52072)+E(x52072,f2(x52073))+~E(f326(f326(f290(x52073),x52071),x52072),f77(x52073))
% 198.08/197.85 [5225]~P135(x52252)+E(x52251,f2(x52252))+E(x52253,f2(x52252))+~E(f326(f326(f80(x52252),x52253),x52251),f2(x52252))
% 198.08/197.85 [5226]~P144(x52262)+E(x52261,f2(x52262))+E(x52263,f2(x52262))+~E(f326(f326(f80(x52262),x52263),x52261),f2(x52262))
% 198.08/197.85 [5602]~P124(x56023)+E(x56021,x56022)+E(x56021,f326(f78(x56023),x56022))+~E(f326(f326(f80(x56023),x56021),x56021),f326(f326(f80(x56023),x56022),x56022))
% 198.08/197.85 [5641]~P99(x56411)+E(f326(f78(x56411),x56412),x56413)+~E(f326(f326(f110(x56411),x56412),x56413),f241(x56411))+~E(f326(f326(f101(x56411),x56412),x56413),f188(x56411))
% 198.08/197.85 [5720]~P122(x57203)+E(x57201,x57202)+P1(f326(f326(f235(x57203),x57202),x57201))+P1(f326(f326(f235(x57203),x57201),x57202))
% 198.08/197.85 [5721]~P111(x57213)+E(x57211,x57212)+P1(f326(f326(f235(x57213),x57212),x57211))+P1(f326(f326(f235(x57213),x57211),x57212))
% 198.08/197.85 [5722]~E(x57222,x57223)+~P111(x57221)+P1(f326(f326(f235(x57221),x57222),x57223))+P1(f326(f326(f234(x57221),x57222),x57223))
% 198.08/197.85 [5983]~P112(x59833)+E(x59831,x59832)+~P1(f326(f326(f234(x59833),x59832),x59831))+P1(f326(f326(f235(x59833),x59832),x59831))
% 198.08/197.85 [5985]~P111(x59853)+E(x59851,x59852)+~P1(f326(f326(f234(x59853),x59851),x59852))+P1(f326(f326(f235(x59853),x59851),x59852))
% 198.08/197.85 [5991]~P112(x59913)+E(x59911,x59912)+~P1(f326(f326(f234(x59913),x59911),x59912))+P1(f326(f326(f235(x59913),x59911),x59912))
% 198.08/197.85 [6099]P150(x60991,x60992,x60993)+~P1(f326(x60991,x60992))+P1(f326(f326(f235(a1),x60993),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x60993))
% 198.08/197.85 [6153]P151(x61531,x61532,x61533)+~P1(f326(x61531,f2(a1)))+P1(f326(f326(f235(a1),x61533),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x61533))
% 198.08/197.85 [6158]~P3(x61581)+E(f326(f326(f110(x61581),x61582),f13(x61581,x61583)),x61582)+~P1(f326(f61(x61581),x61583))+~P1(f326(f326(f328(x61581),x61582),x61583))
% 198.08/197.85 [6159]~P3(x61591)+E(f326(f326(f101(x61591),x61592),f12(x61591,x61593)),x61592)+~P1(f326(f61(x61591),x61593))+~P1(f326(f326(f328(x61591),x61592),x61593))
% 198.08/197.85 [6197]~P3(x61971)+E(f326(f326(f110(x61971),x61972),f12(x61971,x61973)),f12(x61971,x61973))+~P1(f326(f61(x61971),x61973))+~P1(f326(f326(f328(x61971),x61972),x61973))
% 198.08/197.85 [6198]~P3(x61981)+E(f326(f326(f101(x61981),x61982),f13(x61981,x61983)),f13(x61981,x61983))+~P1(f326(f61(x61981),x61983))+~P1(f326(f326(f328(x61981),x61982),x61983))
% 198.08/197.85 [6199]~P111(x61991)+E(f326(f326(f232(x61991),x61992),f16(x61991,x61993)),f16(x61991,x61993))+~P1(f326(f61(x61991),x61993))+~P1(f326(f326(f328(x61991),x61992),x61993))
% 198.08/197.85 [6200]~P111(x62001)+E(f326(f326(f233(x62001),x62002),f17(x62001,x62003)),f17(x62001,x62003))+~P1(f326(f61(x62001),x62003))+~P1(f326(f326(f328(x62001),x62002),x62003))
% 198.08/197.85 [6239]E(x62391,x62392)+~P112(x62393)+~P1(f326(f326(f234(x62393),x62392),x62391))+~P1(f326(f326(f234(x62393),x62391),x62392))
% 198.08/197.85 [6385]~P109(x63851)+P1(f326(f326(f235(x63851),x63853),x63852))+~P1(f326(f326(f234(x63851),x63853),x63852))+P1(f326(f326(f234(x63851),x63852),x63853))
% 198.08/197.85 [6412]~P111(x64121)+~P1(f326(f61(x64121),x64123))+P1(f326(f326(f234(x64121),x64122),f17(x64121,x64123)))+~P1(f326(f326(f328(x64121),x64122),x64123))
% 198.08/197.85 [6457]~P111(x64571)+E(f326(f326(f232(x64571),x64572),f15(x64571,f233(x64571),x64573)),x64572)+~P1(f326(f61(x64571),x64573))+~P1(f326(f326(f328(x64571),x64572),x64573))
% 198.08/197.85 [6458]~P111(x64581)+E(f326(f326(f233(x64581),x64582),f14(x64581,f232(x64581),x64583)),x64582)+~P1(f326(f61(x64581),x64583))+~P1(f326(f326(f328(x64581),x64582),x64583))
% 198.08/197.85 [6599]E(x65991,x65992)+~E(f326(f326(f3(a931),x65991),x65993),f326(f326(f3(a931),x65992),x65993))+~P1(f326(f326(f234(a931),x65993),x65991))+~P1(f326(f326(f234(a931),x65993),x65992))
% 198.08/197.85 [6625]~P111(x66251)+~P1(f326(f61(x66251),x66252))+~P1(f326(f326(f328(x66251),x66253),x66252))+P1(f326(f326(f234(x66251),f16(x66251,x66252)),x66253))
% 198.08/197.85 [6689]P151(x66892,x66893,x66891)+E(x66891,f2(a1))+P1(f326(f326(f235(a1),x66891),f876(x66891,x66893,x66892)))+P1(f326(f326(f235(a1),f2(a1)),x66891))
% 198.08/197.85 [6690]P150(x66902,x66903,x66901)+E(x66901,f2(a1))+P1(f326(f326(f235(a1),x66901),f880(x66901,x66903,x66902)))+P1(f326(f326(f235(a1),f2(a1)),x66901))
% 198.08/197.85 [6691]~P111(x66911)+E(f326(f326(f232(x66911),x66912),f14(x66911,f232(x66911),x66913)),f14(x66911,f232(x66911),x66913))+~P1(f326(f61(x66911),x66913))+~P1(f326(f326(f328(x66911),x66912),x66913))
% 198.08/197.85 [6692]~P111(x66921)+E(f326(f326(f233(x66921),x66922),f15(x66921,f233(x66921),x66923)),f15(x66921,f233(x66921),x66923))+~P1(f326(f61(x66921),x66923))+~P1(f326(f326(f328(x66921),x66922),x66923))
% 198.08/197.85 [6698]~P1(f326(x66981,x66982))+P1(f326(x66981,f372(x66982,x66981,x66983)))+P1(f326(x66981,f2(a931)))+~P1(f326(f326(f235(a931),x66982),x66983))
% 198.08/197.85 [6756]~P1(f326(x67561,x67562))+~P1(f326(f61(x67563),x67562))+P1(f326(x67561,f581(x67561,x67562,x67563)))+P1(f326(x67561,f188(f939(x67563,a927))))
% 198.08/197.85 [6769]~P122(x67691)+~P98(x67691)+P1(f326(f326(f234(x67691),f326(f103(x67691),x67692)),f326(f103(x67691),x67693)))+~P1(f326(f326(f234(a1),x67692),x67693))
% 198.08/197.85 [6770]~P122(x67701)+~P98(x67701)+P1(f326(f326(f235(x67701),f326(f103(x67701),x67702)),f326(f103(x67701),x67703)))+~P1(f326(f326(f235(a1),x67702),x67703))
% 198.08/197.85 [6773]~P1(f326(x67731,x67733))+~P1(f326(f61(x67732),x67733))+P1(f326(f61(x67732),f581(x67731,x67733,x67732)))+P1(f326(x67731,f188(f939(x67732,a927))))
% 198.08/197.85 [6807]P150(x68071,x68072,x68073)+~P1(f326(x68071,x68072))+P1(f326(f326(f235(a1),x68073),f880(x68073,x68072,x68071)))+P1(f326(f326(f235(a1),f2(a1)),x68073))
% 198.08/197.85 [6842]P151(x68421,x68422,x68423)+P1(f326(f326(f235(a1),x68423),f876(x68423,x68422,x68421)))+~P1(f326(x68421,f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x68423))
% 198.08/197.85 [6872]~P110(x68721)+~P97(x68721)+E(f326(f326(f232(x68721),f326(f103(x68721),x68722)),f326(f103(x68721),x68723)),f326(f103(x68721),x68723))+P1(f326(f326(f234(x68721),f326(f103(x68721),x68722)),f326(f103(x68721),x68723)))
% 198.08/197.85 [6873]~P110(x68731)+~P97(x68731)+E(f326(f326(f233(x68731),f326(f103(x68731),x68732)),f326(f103(x68731),x68733)),f326(f103(x68731),x68732))+P1(f326(f326(f234(x68731),f326(f103(x68731),x68732)),f326(f103(x68731),x68733)))
% 198.08/197.85 [6931]P151(x69312,x69313,x69311)+E(x69311,f2(a1))+~P1(f326(x69312,f879(x69311,x69313,x69312)))+P1(f326(f326(f235(a1),f2(a1)),x69311))
% 198.08/197.85 [6932]P150(x69322,x69323,x69321)+E(x69321,f2(a1))+~P1(f326(x69322,f880(x69321,x69323,x69322)))+P1(f326(f326(f235(a1),f2(a1)),x69321))
% 198.08/197.85 [6936]P1(f326(x69361,x69362))+~P1(f326(f61(x69363),x69362))+P1(f326(x69361,f665(x69361,x69362,x69363)))+~P1(f326(x69361,f188(f939(x69363,a927))))
% 198.08/197.85 [6956]P1(f326(x69561,x69562))+P1(f326(f61(x69563),f665(x69561,x69562,x69563)))+~P1(f326(f61(x69563),x69562))+~P1(f326(x69561,f188(f939(x69563,a927))))
% 198.08/197.85 [7021]P150(x70211,x70212,x70213)+~P1(f326(x70211,x70212))+~P1(f326(x70211,f880(x70213,x70212,x70211)))+P1(f326(f326(f235(a1),f2(a1)),x70213))
% 198.08/197.85 [7051]P151(x70511,x70512,x70513)+~P1(f326(x70511,f879(x70513,x70512,x70511)))+~P1(f326(x70511,f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x70513))
% 198.08/197.85 [7158]~P98(x71583)+~P122(x71583)+~P1(f326(f326(f234(x71583),f326(f103(x71583),x71581)),f326(f103(x71583),x71582)))+P1(f326(f326(f234(a1),x71581),x71582))
% 198.08/197.85 [7159]~P98(x71593)+~P122(x71593)+~P1(f326(f326(f235(x71593),f326(f103(x71593),x71591)),f326(f103(x71593),x71592)))+P1(f326(f326(f235(a1),x71591),x71592))
% 198.08/197.85 [7188]~P111(x71881)+~P15(x71881,x71883)+P15(x71881,f326(f326(f151(x71881),x71882),x71883))+~P1(f326(f326(f234(x71881),x71882),f722(x71883,x71882,x71881)))
% 198.08/197.85 [7189]~P111(x71891)+~P15(x71891,x71893)+P15(x71891,f326(f326(f151(x71891),x71892),x71893))+~P1(f326(f326(f234(x71891),x71892),f725(x71893,x71892,x71891)))
% 198.08/197.85 [7190]~P111(x71901)+~P15(x71901,x71903)+P15(x71901,f326(f326(f151(x71901),x71902),x71903))+~P1(f326(f326(f234(x71901),x71902),f764(x71902,x71903,x71901)))
% 198.08/197.85 [7274]P151(x72742,x72743,x72741)+E(x72741,f2(a1))+P1(f326(f326(f235(a1),x72741),f2(a1)))+P1(f326(f326(f235(a1),f877(x72741,x72743,x72742)),x72741))
% 198.08/197.85 [7275]P150(x72752,x72753,x72751)+E(x72751,f2(a1))+P1(f326(f326(f235(a1),x72751),f2(a1)))+P1(f326(f326(f235(a1),f881(x72751,x72753,x72752)),x72751))
% 198.08/197.85 [7313]P151(x73132,x73133,x73131)+E(x73131,f2(a1))+P1(f326(f326(f234(a1),f876(x73131,x73133,x73132)),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x73131))
% 198.08/197.85 [7314]P150(x73142,x73143,x73141)+E(x73141,f2(a1))+P1(f326(f326(f234(a1),f880(x73141,x73143,x73142)),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x73141))
% 198.08/197.85 [7339]~P111(x73391)+~P15(x73391,x73393)+E(f326(f326(f148(x73391,x73391,f7(x73391)),x73392),f170(x73391,x73392,x73393)),x73393)+~P1(f326(f326(f328(x73391),x73392),f326(f172(x73391),x73393)))
% 198.08/197.85 [7386]P150(x73861,x73862,x73863)+~P1(f326(x73861,x73862))+P1(f326(f326(f235(a1),x73863),f2(a1)))+P1(f326(f326(f235(a1),f881(x73863,x73862,x73861)),x73863))
% 198.08/197.85 [7392]~P110(x73921)+~P97(x73921)+E(f326(f326(f232(x73921),f326(f103(x73921),x73922)),f326(f103(x73921),x73923)),f326(f103(x73921),x73922))+~P1(f326(f326(f234(x73921),f326(f103(x73921),x73922)),f326(f103(x73921),x73923)))
% 198.08/197.85 [7393]~P110(x73931)+~P97(x73931)+E(f326(f326(f233(x73931),f326(f103(x73931),x73932)),f326(f103(x73931),x73933)),f326(f103(x73931),x73933))+~P1(f326(f326(f234(x73931),f326(f103(x73931),x73932)),f326(f103(x73931),x73933)))
% 198.08/197.85 [7407]P151(x74071,x74072,x74073)+~P1(f326(x74071,f2(a1)))+P1(f326(f326(f235(a1),x74073),f2(a1)))+P1(f326(f326(f235(a1),f877(x74073,x74072,x74071)),x74073))
% 198.08/197.85 [7417]P150(x74171,x74172,x74173)+~P1(f326(x74171,x74172))+P1(f326(f326(f234(a1),f880(x74173,x74172,x74171)),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x74173))
% 198.08/197.85 [7441]P151(x74411,x74412,x74413)+~P1(f326(x74411,f2(a1)))+P1(f326(f326(f234(a1),f876(x74413,x74412,x74411)),f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x74413))
% 198.08/197.85 [7469]~P1(f326(x74691,x74692))+P1(f326(x74691,f2(a931)))+~P1(f326(f326(f235(a931),x74692),x74693))+P1(f326(f326(f235(a931),f372(x74692,x74691,x74693)),x74693))
% 198.08/197.85 [7486]~P111(x74861)+~P15(x74861,x74863)+P15(x74861,f326(f326(f151(x74861),x74862),x74863))+P1(f326(f326(f328(x74861),f722(x74863,x74862,x74861)),f326(f172(x74861),x74863)))
% 198.08/197.85 [7487]~P111(x74871)+~P15(x74871,x74873)+P15(x74871,f326(f326(f151(x74871),x74872),x74873))+P1(f326(f326(f328(x74871),f725(x74873,x74872,x74871)),f326(f172(x74871),x74873)))
% 198.08/197.85 [7488]~P111(x74881)+~P15(x74881,x74883)+P15(x74881,f326(f326(f151(x74881),x74882),x74883))+P1(f326(f326(f328(x74881),f764(x74882,x74883,x74881)),f326(f172(x74881),x74883)))
% 198.08/197.85 [7608]~P111(x76081)+~P7(x76081)+~P1(f326(f326(f235(x76081),x76083),f37(x76081,x76082)))+P1(f326(f326(f328(x76081),f915(x76082,x76083,x76081)),x76082))
% 198.08/197.85 [7769]~P111(x77691)+~P7(x77691)+~P1(f326(f326(f235(x77691),f38(x77691,x77693)),x77692))+P1(f326(f326(f328(x77691),f380(x77692,x77693,x77691)),x77693))
% 198.08/197.85 [7770]~P111(x77701)+~P7(x77701)+~P1(f326(f326(f235(x77701),f38(x77701,x77703)),x77702))+P1(f326(f326(f235(x77701),f380(x77702,x77703,x77701)),x77702))
% 198.08/197.85 [7783]P151(x77832,x77833,x77831)+E(x77831,f2(a1))+P1(f326(f326(f235(a1),x77831),f876(x77831,x77833,x77832)))+P1(f326(f326(f235(a1),f877(x77831,x77833,x77832)),x77831))
% 198.08/197.85 [7784]P150(x77842,x77843,x77841)+E(x77841,f2(a1))+P1(f326(f326(f235(a1),x77841),f880(x77841,x77843,x77842)))+P1(f326(f326(f235(a1),f881(x77841,x77843,x77842)),x77841))
% 198.08/197.85 [7877]P151(x78773,x78772,x78771)+E(x78771,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78771),f879(x78771,x78772,x78773))),f876(x78771,x78772,x78773)),x78772)+P1(f326(f326(f235(a1),f2(a1)),x78771))
% 198.08/197.85 [7878]P150(x78783,x78782,x78781)+E(x78781,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x78781),f883(x78781,x78782,x78783))),f880(x78781,x78782,x78783)),x78782)+P1(f326(f326(f235(a1),f2(a1)),x78781))
% 198.08/197.85 [7880]~P130(x78801)+~P1(f326(f326(f234(x78801),x78803),f2(x78801)))+P1(f326(f326(f234(x78801),f326(f326(f80(x78801),x78802),x78803)),f2(x78801)))+~P1(f326(f326(f234(x78801),f2(x78801)),x78802))
% 198.08/197.85 [7881]~P130(x78811)+~P1(f326(f326(f234(x78811),x78812),f2(x78811)))+P1(f326(f326(f234(x78811),f326(f326(f80(x78811),x78812),x78813)),f2(x78811)))+~P1(f326(f326(f234(x78811),f2(x78811)),x78813))
% 198.08/197.85 [7883]~P138(x78831)+~P1(f326(f326(f234(x78831),x78833),f2(x78831)))+P1(f326(f326(f234(x78831),f326(f326(f80(x78831),x78832),x78833)),f2(x78831)))+~P1(f326(f326(f234(x78831),f2(x78831)),x78832))
% 198.08/197.85 [7885]~P138(x78851)+~P1(f326(f326(f234(x78851),x78852),f2(x78851)))+P1(f326(f326(f234(x78851),f326(f326(f80(x78851),x78852),x78853)),f2(x78851)))+~P1(f326(f326(f234(x78851),f2(x78851)),x78853))
% 198.08/197.85 [7886]~P70(x78861)+~P1(f326(f326(f234(x78861),x78863),f2(x78861)))+P1(f326(f326(f234(x78861),f326(f326(f290(x78861),x78862),x78863)),f2(x78861)))+~P1(f326(f326(f234(x78861),f2(x78861)),x78862))
% 198.08/197.85 [7887]~P70(x78871)+~P1(f326(f326(f234(x78871),x78872),f2(x78871)))+P1(f326(f326(f234(x78871),f326(f326(f290(x78871),x78872),x78873)),f2(x78871)))+~P1(f326(f326(f234(x78871),f2(x78871)),x78873))
% 198.08/197.85 [7888]~P71(x78881)+~P1(f326(f326(f234(x78881),x78882),f2(x78881)))+P1(f326(f326(f234(x78881),f326(f326(f290(x78881),x78882),x78883)),f2(x78881)))+~P1(f326(f326(f235(x78881),f2(x78881)),x78883))
% 198.08/197.85 [7889]~P71(x78891)+~P1(f326(f326(f235(x78891),x78893),f2(x78891)))+P1(f326(f326(f234(x78891),f326(f326(f290(x78891),x78892),x78893)),f2(x78891)))+~P1(f326(f326(f234(x78891),f2(x78891)),x78892))
% 198.08/197.85 [7891]~P137(x78911)+~P1(f326(f326(f235(x78911),x78913),f2(x78911)))+P1(f326(f326(f235(x78911),f326(f326(f80(x78911),x78912),x78913)),f2(x78911)))+~P1(f326(f326(f235(x78911),f2(x78911)),x78912))
% 198.08/197.85 [7892]~P137(x78921)+~P1(f326(f326(f235(x78921),x78922),f2(x78921)))+P1(f326(f326(f235(x78921),f326(f326(f80(x78921),x78922),x78923)),f2(x78921)))+~P1(f326(f326(f235(x78921),f2(x78921)),x78923))
% 198.08/197.85 [7893]~P70(x78931)+~P1(f326(f326(f235(x78931),x78933),f2(x78931)))+P1(f326(f326(f235(x78931),f326(f326(f290(x78931),x78932),x78933)),f2(x78931)))+~P1(f326(f326(f235(x78931),f2(x78931)),x78932))
% 198.08/197.85 [7894]~P70(x78941)+~P1(f326(f326(f235(x78941),x78942),f2(x78941)))+P1(f326(f326(f235(x78941),f326(f326(f290(x78941),x78942),x78943)),f2(x78941)))+~P1(f326(f326(f235(x78941),f2(x78941)),x78943))
% 198.08/197.85 [7895]~P71(x78951)+~P1(f326(f326(f235(x78951),x78953),f2(x78951)))+P1(f326(f326(f235(x78951),f326(f326(f290(x78951),x78952),x78953)),f2(x78951)))+~P1(f326(f326(f235(x78951),f2(x78951)),x78952))
% 198.08/197.85 [7896]~P71(x78961)+~P1(f326(f326(f235(x78961),x78962),f2(x78961)))+P1(f326(f326(f235(x78961),f326(f326(f290(x78961),x78962),x78963)),f2(x78961)))+~P1(f326(f326(f235(x78961),f2(x78961)),x78963))
% 198.08/197.85 [7911]P150(x79111,x79112,x79113)+~P1(f326(x79111,x79112))+P1(f326(f326(f235(a1),x79113),f880(x79113,x79112,x79111)))+P1(f326(f326(f235(a1),f881(x79113,x79112,x79111)),x79113))
% 198.08/197.85 [7924]P151(x79241,x79242,x79243)+P1(f326(f326(f235(a1),x79243),f876(x79243,x79242,x79241)))+~P1(f326(x79241,f2(a1)))+P1(f326(f326(f235(a1),f877(x79243,x79242,x79241)),x79243))
% 198.08/197.85 [7974]P151(x79742,x79743,x79741)+E(x79741,f2(a1))+~P1(f326(x79742,f879(x79741,x79743,x79742)))+P1(f326(f326(f235(a1),f877(x79741,x79743,x79742)),x79741))
% 198.08/197.85 [7975]P150(x79752,x79753,x79751)+E(x79751,f2(a1))+~P1(f326(x79752,f880(x79751,x79753,x79752)))+P1(f326(f326(f235(a1),f881(x79751,x79753,x79752)),x79751))
% 198.08/197.85 [7985]P150(x79853,x79852,x79851)+~P1(f326(x79853,x79852))+E(f326(f326(f79(a1),f326(f326(f80(a1),x79851),f883(x79851,x79852,x79853))),f880(x79851,x79852,x79853)),x79852)+P1(f326(f326(f235(a1),f2(a1)),x79851))
% 198.08/197.85 [8000]P151(x80003,x80002,x80001)+E(f326(f326(f79(a1),f326(f326(f80(a1),x80001),f879(x80001,x80002,x80003))),f876(x80001,x80002,x80003)),x80002)+~P1(f326(x80003,f2(a1)))+P1(f326(f326(f235(a1),f2(a1)),x80001))
% 198.08/197.85 [8028]~P1(f326(x80281,x80283))+~P1(f326(f61(x80282),x80283))+P1(f326(f326(f328(x80282),f572(x80281,x80283,x80282)),f581(x80281,x80283,x80282)))+P1(f326(x80281,f188(f939(x80282,a927))))
% 198.08/197.85 [8039]P150(x80391,x80392,x80393)+~P1(f326(x80391,x80392))+~P1(f326(x80391,f880(x80393,x80392,x80391)))+P1(f326(f326(f235(a1),f881(x80393,x80392,x80391)),x80393))
% 198.08/197.85 [8045]P151(x80451,x80452,x80453)+~P1(f326(x80451,f879(x80453,x80452,x80451)))+~P1(f326(x80451,f2(a1)))+P1(f326(f326(f235(a1),f877(x80453,x80452,x80451)),x80453))
% 198.08/197.85 [8152]~P130(x81521)+~P1(f326(f326(f234(x81521),f326(f326(f80(x81521),x81523),x81522)),f2(x81521)))+P1(f326(f326(f234(x81521),x81522),f2(x81521)))+P1(f326(f326(f234(x81521),f2(x81521)),x81522))
% 198.08/197.85 [8153]~P130(x81531)+~P1(f326(f326(f234(x81531),f326(f326(f80(x81531),x81532),x81533)),f2(x81531)))+P1(f326(f326(f234(x81531),x81532),f2(x81531)))+P1(f326(f326(f234(x81531),f2(x81531)),x81532))
% 198.08/197.85 [8154]~P70(x81541)+~P1(f326(f326(f234(x81541),f326(f326(f290(x81541),x81543),x81542)),f2(x81541)))+P1(f326(f326(f234(x81541),x81542),f2(x81541)))+P1(f326(f326(f234(x81541),f2(x81541)),x81542))
% 198.08/197.85 [8155]~P70(x81551)+~P1(f326(f326(f234(x81551),f326(f326(f290(x81551),x81552),x81553)),f2(x81551)))+P1(f326(f326(f234(x81551),x81552),f2(x81551)))+P1(f326(f326(f234(x81551),f2(x81551)),x81552))
% 198.08/197.85 [8156]~P70(x81561)+~P1(f326(f326(f235(x81561),f326(f326(f290(x81561),x81563),x81562)),f2(x81561)))+P1(f326(f326(f235(x81561),x81562),f2(x81561)))+P1(f326(f326(f235(x81561),f2(x81561)),x81562))
% 198.08/197.85 [8157]~P70(x81571)+~P1(f326(f326(f235(x81571),f326(f326(f290(x81571),x81572),x81573)),f2(x81571)))+P1(f326(f326(f235(x81571),x81572),f2(x81571)))+P1(f326(f326(f235(x81571),f2(x81571)),x81572))
% 198.08/197.85 [8182]~P130(x81821)+~P1(f326(f326(f234(x81821),f326(f326(f80(x81821),x81822),x81823)),f2(x81821)))+P1(f326(f326(f234(x81821),f2(x81821)),x81822))+P1(f326(f326(f234(x81821),f2(x81821)),x81823))
% 198.08/197.85 [8183]~P70(x81831)+~P1(f326(f326(f234(x81831),f326(f326(f290(x81831),x81832),x81833)),f2(x81831)))+P1(f326(f326(f234(x81831),f2(x81831)),x81832))+P1(f326(f326(f234(x81831),f2(x81831)),x81833))
% 198.08/197.85 [8184]~P70(x81841)+~P1(f326(f326(f235(x81841),f326(f326(f290(x81841),x81842),x81843)),f2(x81841)))+P1(f326(f326(f235(x81841),f2(x81841)),x81842))+P1(f326(f326(f235(x81841),f2(x81841)),x81843))
% 198.08/197.85 [8206]P151(x82062,x82063,x82061)+E(x82061,f2(a1))+P1(f326(f326(f234(a1),f876(x82061,x82063,x82062)),f2(a1)))+P1(f326(f326(f235(a1),f877(x82061,x82063,x82062)),x82061))
% 198.08/197.85 [8207]P150(x82072,x82073,x82071)+E(x82071,f2(a1))+P1(f326(f326(f234(a1),f880(x82071,x82073,x82072)),f2(a1)))+P1(f326(f326(f235(a1),f881(x82071,x82073,x82072)),x82071))
% 198.08/197.85 [8214]~P114(x82141)+~P1(f326(f326(f235(x82141),x82142),f77(x82141)))+P1(f326(f326(f235(x82141),f326(f326(f243(x82141),x82142),f326(a112,x82143))),f77(x82141)))+~P1(f326(f326(f235(x82141),f2(x82141)),x82142))
% 198.08/197.85 [8269]~P111(x82691)+~E(x82693,f113(x82691))+~P15(x82691,f326(f168(x82691),x82693))+E(f326(f142(x82691,x82691,f326(f9(x82691,x82691,x82691),f233(x82691)),x82692),f326(f168(x82691),x82693)),x82692)
% 198.08/197.85 [8272]P150(x82721,x82722,x82723)+~P1(f326(x82721,x82722))+P1(f326(f326(f234(a1),f880(x82723,x82722,x82721)),f2(a1)))+P1(f326(f326(f235(a1),f881(x82723,x82722,x82721)),x82723))
% 198.08/197.85 [8280]P151(x82801,x82802,x82803)+~P1(f326(x82801,f2(a1)))+P1(f326(f326(f234(a1),f876(x82803,x82802,x82801)),f2(a1)))+P1(f326(f326(f235(a1),f877(x82803,x82802,x82801)),x82803))
% 198.08/197.85 [8498]P151(x84983,x84982,x84981)+E(x84981,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84981),f879(x84981,x84982,x84983))),f876(x84981,x84982,x84983)),x84982)+P1(f326(f326(f235(a1),f877(x84981,x84982,x84983)),x84981))
% 198.08/197.85 [8499]P150(x84993,x84992,x84991)+E(x84991,f2(a1))+E(f326(f326(f79(a1),f326(f326(f80(a1),x84991),f883(x84991,x84992,x84993))),f880(x84991,x84992,x84993)),x84992)+P1(f326(f326(f235(a1),f881(x84991,x84992,x84993)),x84991))
% 198.08/197.85 [8534]P150(x85343,x85342,x85341)+~P1(f326(x85343,x85342))+E(f326(f326(f79(a1),f326(f326(f80(a1),x85341),f883(x85341,x85342,x85343))),f880(x85341,x85342,x85343)),x85342)+P1(f326(f326(f235(a1),f881(x85341,x85342,x85343)),x85341))
% 198.08/197.85 [8535]~P75(x85351)+~P79(x85351)+~P44(x85353)+E(f326(f326(f8(a931,x85351),f326(f326(f10(a1,x85351,a931),x85352),f100(a1))),f326(f309(a1,a931,a104),x85353)),f326(f326(f8(a1,x85351),x85352),x85353))
% 198.08/197.85 [8536]~P75(x85361)+~P79(x85361)+~P44(x85363)+E(f326(f326(f11(a931,x85361),f326(f326(f10(a1,x85361,a931),x85362),f100(a1))),f326(f309(a1,a931,a104),x85363)),f326(f326(f11(a1,x85361),x85362),x85363))
% 198.08/197.85 [8545]P151(x85453,x85452,x85451)+E(f326(f326(f79(a1),f326(f326(f80(a1),x85451),f879(x85451,x85452,x85453))),f876(x85451,x85452,x85453)),x85452)+~P1(f326(x85453,f2(a1)))+P1(f326(f326(f235(a1),f877(x85451,x85452,x85453)),x85451))
% 198.08/197.85 [8567]~E(x85672,f2(a931))+~E(f326(f250(a931,a931),x85673),f2(a931))+~E(x85671,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x85673)),x85672)),f326(f255(a931,a931),x85673)))+P1(f326(f48(x85671,x85672),x85673))
% 198.08/197.85 [8623]P1(f326(x86231,x86232))+~P1(f326(f326(f328(x86233),f634(x86231,x86232,x86233)),f665(x86231,x86232,x86233)))+~P1(f326(f61(x86233),x86232))+~P1(f326(x86231,f188(f939(x86233,a927))))
% 198.08/197.85 [9249]P1(f326(x92491,x92492))+~P1(f326(f61(x92493),x92492))+~P1(f326(x92491,f326(f326(f308(x92493),f634(x92491,x92492,x92493)),f665(x92491,x92492,x92493))))+~P1(f326(x92491,f188(f939(x92493,a927))))
% 198.08/197.85 [9488]P1(f326(f326(f234(a1),x94881),f2(a1)))+~P1(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x94883),x94881)),x94882)),f2(a1)))+~P1(f326(f326(f234(a1),f2(a1)),x94882))+~P1(f326(f326(f235(a1),f2(a1)),x94883))
% 198.08/197.85 [6053]~P3(x60532)+E(x60531,f188(f939(x60532,a927)))+~P1(f326(f61(x60532),x60531))+E(f12(x60532,f326(f326(f308(x60532),x60533),x60531)),f326(f326(f110(x60532),x60533),f12(x60532,x60531)))
% 198.08/197.85 [6054]~P3(x60542)+E(x60541,f188(f939(x60542,a927)))+~P1(f326(f61(x60542),x60541))+E(f13(x60542,f326(f326(f308(x60542),x60543),x60541)),f326(f326(f101(x60542),x60543),f13(x60542,x60541)))
% 198.08/197.85 [6055]~P111(x60552)+E(x60551,f188(f939(x60552,a927)))+~P1(f326(f61(x60552),x60551))+E(f16(x60552,f326(f326(f308(x60552),x60553),x60551)),f326(f326(f232(x60552),x60553),f16(x60552,x60551)))
% 198.08/197.85 [6056]~P111(x60562)+E(x60561,f188(f939(x60562,a927)))+~P1(f326(f61(x60562),x60561))+E(f17(x60562,f326(f326(f308(x60562),x60563),x60561)),f326(f326(f233(x60562),x60563),f17(x60562,x60561)))
% 198.08/197.85 [6382]~P130(x63821)+~E(x63823,f2(x63821))+~E(x63822,f2(x63821))+E(f326(f326(f79(x63821),f326(f326(f80(x63821),x63822),x63822)),f326(f326(f80(x63821),x63823),x63823)),f2(x63821))
% 198.08/197.85 [6450]~P100(x64502)+E(x64501,f188(f939(x64502,a927)))+~P1(f326(f61(x64502),x64501))+E(f326(f63(x64502,f80(x64502)),f326(f326(f308(x64502),x64503),x64501)),f326(f326(f80(x64502),x64503),f326(f63(x64502,f80(x64502)),x64501)))
% 198.08/197.85 [6575]~P111(x65752)+E(x65751,f188(f939(x65752,a927)))+~P1(f326(f61(x65752),x65751))+E(f14(x65752,f232(x65752),f326(f326(f308(x65752),x65753),x65751)),f326(f326(f232(x65752),x65753),f14(x65752,f232(x65752),x65751)))
% 198.08/197.85 [6576]~P111(x65762)+E(x65761,f188(f939(x65762,a927)))+~P1(f326(f61(x65762),x65761))+E(f15(x65762,f233(x65762),f326(f326(f308(x65762),x65763),x65761)),f326(f326(f233(x65762),x65763),f15(x65762,f233(x65762),x65761)))
% 198.08/197.85 [7085]~P73(x70851)+~P1(f326(f61(x70851),x70853))+E(f326(f63(x70851,f80(x70851)),f326(f326(f308(x70851),x70852),x70853)),f326(f326(f64(x70851,x70851,f80(x70851)),x70852),x70853))+P1(f326(f326(f328(x70851),x70852),x70853))
% 198.08/197.85 [7166]~E(f326(f326(f79(a1),x71662),f326(f326(f80(a1),x71663),x71661)),x71663)+~P1(f326(f326(f235(a1),f2(a1)),x71663))+P1(f326(f326(f234(a1),f77(a1)),x71661))+~P1(f326(f326(f235(a1),x71662),x71663))
% 198.08/197.85 [7195]~E(f326(f326(f79(a1),x71952),f326(f326(f80(a1),x71953),x71951)),x71953)+P1(f326(f326(f234(a1),x71951),f77(a1)))+~P1(f326(f326(f234(a1),f2(a1)),x71952))+~P1(f326(f326(f235(a1),f2(a1)),x71953))
% 198.08/197.85 [7211]E(x72111,f2(a931))+~P1(f326(f48(x72113,x72111),x72112))+~P1(f326(f326(f235(a931),f2(a931)),x72111))+P1(f326(f326(f235(a931),f326(f255(a931,a931),x72112)),x72111))
% 198.08/197.85 [7242]~P141(x72421)+~P1(f326(f326(f234(x72421),x72422),f2(x72421)))+~P1(f326(f326(f234(x72421),x72423),f2(x72421)))+E(f326(f326(f80(x72421),f326(f75(x72421),x72422)),f326(f75(x72421),x72423)),f326(f75(x72421),f326(f326(f80(x72421),x72422),x72423)))
% 198.08/197.85 [7290]~P141(x72901)+~P1(f326(f326(f234(x72901),x72902),f2(x72901)))+E(f326(f326(f80(x72901),f326(f75(x72901),x72902)),f326(f75(x72901),x72903)),f326(f75(x72901),f326(f326(f80(x72901),x72902),x72903)))+~P1(f326(f326(f234(x72901),f2(x72901)),x72903))
% 198.08/197.85 [7291]~P141(x72911)+~P1(f326(f326(f234(x72911),x72913),f2(x72911)))+E(f326(f326(f80(x72911),f326(f75(x72911),x72912)),f326(f75(x72911),x72913)),f326(f75(x72911),f326(f326(f80(x72911),x72912),x72913)))+~P1(f326(f326(f234(x72911),f2(x72911)),x72912))
% 198.08/197.85 [7347]~P141(x73471)+E(f326(f326(f80(x73471),f326(f75(x73471),x73472)),f326(f75(x73471),x73473)),f326(f75(x73471),f326(f326(f80(x73471),x73472),x73473)))+~P1(f326(f326(f234(x73471),f2(x73471)),x73472))+~P1(f326(f326(f234(x73471),f2(x73471)),x73473))
% 198.08/197.85 [7364]~P131(x73641)+~P1(f326(f326(f234(x73641),x73643),f2(x73641)))+~P1(f326(f326(f234(x73641),x73642),f2(x73641)))+P1(f326(f326(f234(x73641),f2(x73641)),f326(f326(f80(x73641),x73642),x73643)))
% 198.08/197.85 [7365]~P130(x73651)+~P1(f326(f326(f234(x73651),x73653),f2(x73651)))+~P1(f326(f326(f234(x73651),x73652),f2(x73651)))+P1(f326(f326(f234(x73651),f2(x73651)),f326(f326(f80(x73651),x73652),x73653)))
% 198.08/197.85 [7366]~P70(x73661)+~P1(f326(f326(f234(x73661),x73663),f2(x73661)))+~P1(f326(f326(f234(x73661),x73662),f2(x73661)))+P1(f326(f326(f234(x73661),f2(x73661)),f326(f326(f290(x73661),x73662),x73663)))
% 198.08/197.85 [7367]~P71(x73671)+~P1(f326(f326(f235(x73671),x73673),f2(x73671)))+~P1(f326(f326(f234(x73671),x73672),f2(x73671)))+P1(f326(f326(f234(x73671),f2(x73671)),f326(f326(f290(x73671),x73672),x73673)))
% 198.08/197.85 [7368]~P130(x73681)+~P1(f326(f326(f235(x73681),x73683),f2(x73681)))+~P1(f326(f326(f235(x73681),x73682),f2(x73681)))+P1(f326(f326(f235(x73681),f2(x73681)),f326(f326(f80(x73681),x73682),x73683)))
% 198.08/197.85 [7369]~P70(x73691)+~P1(f326(f326(f235(x73691),x73693),f2(x73691)))+~P1(f326(f326(f235(x73691),x73692),f2(x73691)))+P1(f326(f326(f235(x73691),f2(x73691)),f326(f326(f290(x73691),x73692),x73693)))
% 198.08/197.85 [7370]~P71(x73701)+~P1(f326(f326(f235(x73701),x73703),f2(x73701)))+~P1(f326(f326(f235(x73701),x73702),f2(x73701)))+P1(f326(f326(f235(x73701),f2(x73701)),f326(f326(f290(x73701),x73702),x73703)))
% 198.08/197.85 [7371]~P114(x73711)+~P1(f326(f326(f235(a931),f2(a931)),x73713))+~P1(f326(f326(f235(x73711),f77(x73711)),x73712))+P1(f326(f326(f235(x73711),f77(x73711)),f326(f326(f243(x73711),x73712),x73713)))
% 198.08/197.85 [7470]~P131(x74701)+~P1(f326(f326(f234(x74701),f2(x74701)),x74703))+~P1(f326(f326(f234(x74701),f2(x74701)),x74702))+P1(f326(f326(f234(x74701),f2(x74701)),f326(f326(f80(x74701),x74702),x74703)))
% 198.08/197.85 [7471]~P130(x74711)+~P1(f326(f326(f234(x74711),f2(x74711)),x74713))+~P1(f326(f326(f234(x74711),f2(x74711)),x74712))+P1(f326(f326(f234(x74711),f2(x74711)),f326(f326(f80(x74711),x74712),x74713)))
% 198.08/197.85 [7472]~P138(x74721)+~P1(f326(f326(f234(x74721),f2(x74721)),x74723))+~P1(f326(f326(f234(x74721),f2(x74721)),x74722))+P1(f326(f326(f234(x74721),f2(x74721)),f326(f326(f80(x74721),x74722),x74723)))
% 198.08/197.85 [7474]~P70(x74741)+~P1(f326(f326(f234(x74741),f2(x74741)),x74743))+~P1(f326(f326(f234(x74741),f2(x74741)),x74742))+P1(f326(f326(f234(x74741),f2(x74741)),f326(f326(f290(x74741),x74742),x74743)))
% 198.08/197.85 [7475]~P71(x74751)+~P1(f326(f326(f235(x74751),f2(x74751)),x74753))+~P1(f326(f326(f234(x74751),f2(x74751)),x74752))+P1(f326(f326(f234(x74751),f2(x74751)),f326(f326(f290(x74751),x74752),x74753)))
% 198.08/197.85 [7476]~P114(x74761)+~P1(f326(f326(f235(x74761),f77(x74761)),x74763))+~P1(f326(f326(f235(x74761),f77(x74761)),x74762))+P1(f326(f326(f235(x74761),f77(x74761)),f326(f326(f80(x74761),x74762),x74763)))
% 198.08/197.85 [7477]~P137(x74771)+~P1(f326(f326(f235(x74771),f2(x74771)),x74773))+~P1(f326(f326(f235(x74771),f2(x74771)),x74772))+P1(f326(f326(f235(x74771),f2(x74771)),f326(f326(f80(x74771),x74772),x74773)))
% 198.08/197.85 [7480]~P92(x74801)+~P1(f326(f326(f235(x74801),f2(x74801)),x74803))+~P1(f326(f326(f235(x74801),f2(x74801)),x74802))+P1(f326(f326(f235(x74801),f2(x74801)),f326(f326(f79(x74801),x74802),x74803)))
% 198.08/197.85 [7481]~P70(x74811)+~P1(f326(f326(f235(x74811),f2(x74811)),x74813))+~P1(f326(f326(f235(x74811),f2(x74811)),x74812))+P1(f326(f326(f235(x74811),f2(x74811)),f326(f326(f290(x74811),x74812),x74813)))
% 198.08/197.85 [7482]~P71(x74821)+~P1(f326(f326(f235(x74821),f2(x74821)),x74823))+~P1(f326(f326(f235(x74821),f2(x74821)),x74822))+P1(f326(f326(f235(x74821),f2(x74821)),f326(f326(f290(x74821),x74822),x74823)))
% 198.08/197.85 [7564]~P3(x75641)+~P1(f326(f61(x75641),x75643))+E(f12(x75641,f326(f326(f308(x75641),x75642),x75643)),x75642)+~E(f326(f326(f3(f939(x75641,a927)),x75643),f326(f326(f308(x75641),x75642),f188(f939(x75641,a927)))),f188(f939(x75641,a927)))
% 198.08/197.85 [7565]~P3(x75651)+~P1(f326(f61(x75651),x75653))+E(f13(x75651,f326(f326(f308(x75651),x75652),x75653)),x75652)+~E(f326(f326(f3(f939(x75651,a927)),x75653),f326(f326(f308(x75651),x75652),f188(f939(x75651,a927)))),f188(f939(x75651,a927)))
% 198.08/197.85 [7566]~P111(x75661)+~P1(f326(f61(x75661),x75663))+E(f16(x75661,f326(f326(f308(x75661),x75662),x75663)),x75662)+~E(f326(f326(f3(f939(x75661,a927)),x75663),f326(f326(f308(x75661),x75662),f188(f939(x75661,a927)))),f188(f939(x75661,a927)))
% 198.08/197.85 [7567]~P111(x75671)+~P1(f326(f61(x75671),x75673))+E(f17(x75671,f326(f326(f308(x75671),x75672),x75673)),x75672)+~E(f326(f326(f3(f939(x75671,a927)),x75673),f326(f326(f308(x75671),x75672),f188(f939(x75671,a927)))),f188(f939(x75671,a927)))
% 198.08/197.85 [7569]~P130(x75691)+P1(f326(f326(f234(x75691),x75692),f2(x75691)))+P1(f326(f326(f234(x75691),f2(x75691)),x75693))+~P1(f326(f326(f234(x75691),f2(x75691)),f326(f326(f80(x75691),x75693),x75692)))
% 198.08/197.85 [7570]~P130(x75701)+P1(f326(f326(f234(x75701),x75702),f2(x75701)))+P1(f326(f326(f234(x75701),f2(x75701)),x75703))+~P1(f326(f326(f234(x75701),f2(x75701)),f326(f326(f80(x75701),x75702),x75703)))
% 198.08/197.85 [7571]~P70(x75711)+P1(f326(f326(f234(x75711),x75712),f2(x75711)))+P1(f326(f326(f234(x75711),f2(x75711)),x75713))+~P1(f326(f326(f234(x75711),f2(x75711)),f326(f326(f290(x75711),x75713),x75712)))
% 198.08/197.85 [7572]~P70(x75721)+P1(f326(f326(f234(x75721),x75722),f2(x75721)))+P1(f326(f326(f234(x75721),f2(x75721)),x75723))+~P1(f326(f326(f234(x75721),f2(x75721)),f326(f326(f290(x75721),x75722),x75723)))
% 198.08/197.85 [7573]~P130(x75731)+P1(f326(f326(f234(x75731),x75732),f2(x75731)))+P1(f326(f326(f234(x75731),f2(x75731)),x75732))+~P1(f326(f326(f234(x75731),f2(x75731)),f326(f326(f80(x75731),x75733),x75732)))
% 198.08/197.85 [7574]~P130(x75741)+P1(f326(f326(f234(x75741),x75742),f2(x75741)))+P1(f326(f326(f234(x75741),f2(x75741)),x75742))+~P1(f326(f326(f234(x75741),f2(x75741)),f326(f326(f80(x75741),x75742),x75743)))
% 198.08/197.85 [7575]~P70(x75751)+P1(f326(f326(f234(x75751),x75752),f2(x75751)))+P1(f326(f326(f234(x75751),f2(x75751)),x75752))+~P1(f326(f326(f234(x75751),f2(x75751)),f326(f326(f290(x75751),x75753),x75752)))
% 198.08/197.85 [7576]~P70(x75761)+P1(f326(f326(f234(x75761),x75762),f2(x75761)))+P1(f326(f326(f234(x75761),f2(x75761)),x75762))+~P1(f326(f326(f234(x75761),f2(x75761)),f326(f326(f290(x75761),x75762),x75763)))
% 198.08/197.85 [7577]~P70(x75771)+P1(f326(f326(f235(x75771),x75772),f2(x75771)))+P1(f326(f326(f235(x75771),f2(x75771)),x75773))+~P1(f326(f326(f235(x75771),f2(x75771)),f326(f326(f290(x75771),x75773),x75772)))
% 198.08/197.85 [7578]~P70(x75781)+P1(f326(f326(f235(x75781),x75782),f2(x75781)))+P1(f326(f326(f235(x75781),f2(x75781)),x75783))+~P1(f326(f326(f235(x75781),f2(x75781)),f326(f326(f290(x75781),x75782),x75783)))
% 198.08/197.85 [7579]~P70(x75791)+P1(f326(f326(f235(x75791),x75792),f2(x75791)))+P1(f326(f326(f235(x75791),f2(x75791)),x75792))+~P1(f326(f326(f235(x75791),f2(x75791)),f326(f326(f290(x75791),x75793),x75792)))
% 198.08/197.85 [7580]~P70(x75801)+P1(f326(f326(f235(x75801),x75802),f2(x75801)))+P1(f326(f326(f235(x75801),f2(x75801)),x75802))+~P1(f326(f326(f235(x75801),f2(x75801)),f326(f326(f290(x75801),x75802),x75803)))
% 198.08/197.85 [7669]~E(f326(f326(f101(f939(x76691,a927)),f326(f172(x76691),x76692)),f326(f172(x76691),x76693)),f188(f939(x76691,a927)))+~P1(f326(f137(x76691),x76693))+~P1(f326(f137(x76691),x76692))+P1(f326(f137(x76691),f326(f326(f134(x76691),x76692),x76693)))
% 198.08/197.85 [7670]~P111(x76701)+~P1(f326(f61(x76701),x76703))+E(f14(x76701,f232(x76701),f326(f326(f308(x76701),x76702),x76703)),x76702)+~E(f326(f326(f3(f939(x76701,a927)),x76703),f326(f326(f308(x76701),x76702),f188(f939(x76701,a927)))),f188(f939(x76701,a927)))
% 198.08/197.85 [7671]~P111(x76711)+~P1(f326(f61(x76711),x76713))+E(f15(x76711,f233(x76711),f326(f326(f308(x76711),x76712),x76713)),x76712)+~E(f326(f326(f3(f939(x76711,a927)),x76713),f326(f326(f308(x76711),x76712),f188(f939(x76711,a927)))),f188(f939(x76711,a927)))
% 198.08/197.85 [7688]~P89(x76881)+~P1(f326(f326(f234(x76881),x76882),x76883))+~P1(f326(f326(f234(x76881),f326(f78(x76881),x76882)),x76883))+P1(f326(f326(f234(x76881),f326(f75(x76881),x76882)),x76883))
% 198.08/197.85 [7689]~P122(x76891)+~P1(f326(f326(f235(x76891),x76892),x76893))+~P1(f326(f326(f235(x76891),f326(f78(x76891),x76892)),x76893))+P1(f326(f326(f235(x76891),f326(f75(x76891),x76892)),x76893))
% 198.08/197.85 [7759]~P137(x77591)+P1(f326(f326(f235(x77591),f2(x77591)),x77592))+~P1(f326(f326(f235(x77591),f2(x77591)),x77593))+~P1(f326(f326(f235(x77591),f2(x77591)),f326(f326(f80(x77591),x77593),x77592)))
% 198.08/197.85 [7760]~P137(x77601)+P1(f326(f326(f235(x77601),f2(x77601)),x77602))+~P1(f326(f326(f235(x77601),f2(x77601)),x77603))+~P1(f326(f326(f235(x77601),f2(x77601)),f326(f326(f80(x77601),x77602),x77603)))
% 198.08/197.85 [8059]E(x80591,x80592)+~P1(f326(f61(x80593),x80591))+~P1(f326(f326(f234(a931),f326(f35(x80593),x80591)),f326(f35(x80593),x80592)))+~P1(f326(f326(f234(f939(x80593,a927)),x80592),x80591))
% 198.08/197.85 [8211]~P1(f326(f326(f235(a1),x82111),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x82112))+~P1(f326(f326(f234(a1),x82112),x82113))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x82111),x82112)),f326(f326(f36(a1),x82111),x82113)))
% 198.08/197.85 [8221]~P1(f326(f326(f234(a1),f2(a1)),x82211))+~P1(f326(f326(f235(a1),f2(a1)),x82213))+~P1(f326(f326(f234(a1),x82213),x82212))+P1(f326(f326(f234(a1),f326(f326(f36(a1),x82211),x82212)),f326(f326(f36(a1),x82211),x82213)))
% 198.08/197.85 [8359]E(f326(x83591,f351(x83592,x83591,x83593)),x83592)+~P1(f326(f326(f234(a1),x83592),f326(x83591,x83593)))+P1(f326(f326(f235(a931),f352(x83592,x83591,x83593)),x83593))+~P1(f326(f326(f234(a1),f326(x83591,f2(a931))),x83592))
% 198.08/197.85 [8360]E(f326(x83601,f374(x83602,x83601,x83603)),x83602)+~P1(f326(f326(f234(a1),x83602),f326(x83601,x83603)))+P1(f326(f326(f235(a931),f375(x83602,x83601,x83603)),x83603))+~P1(f326(f326(f234(a1),f326(x83601,f2(a931))),x83602))
% 198.08/197.85 [8461]~P1(f326(f61(x84611),x84613))+~P1(f326(f326(f235(a931),f326(f35(x84611),x84612)),f326(f35(x84611),x84613)))+~P1(f326(f326(f234(f939(x84611,a927)),x84612),x84613))+P1(f326(f326(f235(f939(x84611,a927)),x84612),x84613))
% 198.08/197.85 [8488]E(f326(f326(f79(a1),f447(x84883,x84881,x84882)),f448(x84883,x84881,x84882)),x84881)+E(f326(f326(f3(a1),x84881),x84882),x84881)+~P1(f326(f326(f235(a1),f2(a1)),x84882))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x84881),f77(a1))),x84883))
% 198.08/197.85 [8489]E(f326(f326(f3(a1),f453(x84893,x84891,x84892)),f454(x84893,x84891,x84892)),x84891)+E(f326(f326(f79(a1),x84891),x84892),x84891)+~P1(f326(f326(f235(a1),f2(a1)),x84892))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x84891),f77(a1))),x84893))
% 198.08/197.85 [8540]~P1(f326(f326(f234(a931),x85403),x85401))+P1(f326(f326(f234(a931),x85401),x85402))+~P1(f326(f326(f234(a931),x85403),x85402))+~P1(f326(f326(f234(a931),f326(f326(f3(a931),x85401),x85403)),f326(f326(f3(a931),x85402),x85403)))
% 198.08/197.85 [8541]~P1(f326(f326(f234(a931),x85413),x85411))+P1(f326(f326(f235(a931),x85411),x85412))+~P1(f326(f326(f234(a931),x85413),x85412))+~P1(f326(f326(f235(a931),f326(f326(f3(a931),x85411),x85413)),f326(f326(f3(a931),x85412),x85413)))
% 198.08/197.85 [8560]~P111(x85602)+E(x85601,f113(x85602))+~P15(x85602,f326(f168(x85602),x85601))+E(f326(f142(x85602,x85602,f326(f9(x85602,x85602,x85602),f233(x85602)),x85603),f326(f168(x85602),x85601)),f326(f326(f233(x85602),f326(f326(f164(x85602),x85601),f2(a931))),x85603))
% 198.08/197.85 [8628]E(f326(f326(f3(a1),x86281),x86282),x86281)+~P1(f326(f326(f235(a1),f2(a1)),x86282))+P1(f326(f326(f328(a1),f447(x86283,x86281,x86282)),x86283))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x86281),f77(a1))),x86283))
% 198.08/197.85 [8629]E(f326(f326(f79(a1),x86291),x86292),x86291)+~P1(f326(f326(f235(a1),f2(a1)),x86292))+P1(f326(f326(f328(a1),f453(x86293,x86291,x86292)),x86293))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x86291),f77(a1))),x86293))
% 198.08/197.85 [8701]~P1(f326(f326(f234(a1),x87011),f326(x87012,x87013)))+P1(f326(f326(f235(a931),f352(x87011,x87012,x87013)),x87013))+P1(f326(f326(f234(a931),f351(x87011,x87012,x87013)),x87013))+~P1(f326(f326(f234(a1),f326(x87012,f2(a931))),x87011))
% 198.08/197.85 [8702]~P1(f326(f326(f234(a1),x87021),f326(x87022,x87023)))+P1(f326(f326(f235(a931),f375(x87021,x87022,x87023)),x87023))+P1(f326(f326(f234(a931),f374(x87021,x87022,x87023)),x87023))+~P1(f326(f326(f234(a1),f326(x87022,f2(a931))),x87021))
% 198.08/197.85 [8774]E(f326(f326(f3(a1),x87741),x87742),x87741)+~P1(f326(f326(f235(a1),f2(a1)),x87742))+P1(f326(f326(f328(a1),f448(x87743,x87741,x87742)),f302(a1,f77(a1),x87742)))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x87741),f77(a1))),x87743))
% 198.08/197.85 [8775]E(f326(f326(f79(a1),x87751),x87752),x87751)+~P1(f326(f326(f235(a1),f2(a1)),x87752))+P1(f326(f326(f328(a1),f454(x87753,x87751,x87752)),f302(a1,f77(a1),x87752)))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x87751),f77(a1))),x87753))
% 198.08/197.85 [8908]~P114(x89081)+~P1(f326(f326(f235(x89081),x89082),f77(x89081)))+~P1(f326(f326(f235(x89081),f2(x89081)),x89082))+P1(f326(f326(f235(x89081),f326(f326(f80(x89081),x89082),f326(f326(f243(x89081),x89082),x89083))),f326(f326(f243(x89081),x89082),x89083)))
% 198.08/197.85 [9001]~P1(f326(x90011,x90012))+P1(f326(x90011,f2(a931)))+~P1(f326(f326(f235(a931),x90012),x90013))+~P1(f326(x90011,f45(a931,f326(a112,f372(x90012,x90011,x90013)),x90013)))
% 198.08/197.85 [9154]E(f416(x91541,x91542,x91543),f2(a931))+P1(f326(f326(x91541,x91543),x91542))+P1(f326(f326(x91541,f416(x91541,x91542,x91543)),f45(a931,f415(x91541,x91542,x91543),f416(x91541,x91542,x91543))))+~P1(f326(f314(f938(a931,a931),a219),f326(f326(f251(a931,a931),x91543),x91542)))
% 198.08/197.85 [9191]~P27(x91911,x91911,x91912,x91913)+E(f326(f309(x91911,x91911,x91912),x91913),x91913)+~P1(f326(f61(x91911),x91913))+~P1(f326(f326(f234(f939(x91911,a927)),f326(f309(x91911,x91911,x91912),x91913)),x91913))
% 198.08/197.85 [9412]P1(f326(f326(x94121,x94122),x94123))+P1(f326(f326(f235(a1),f785(x94121,x94123,x94122)),f786(x94121,x94123,x94122)))+P1(f326(f326(x94121,f785(x94121,x94123,x94122)),f326(f326(f79(a1),f786(x94121,x94123,x94122)),f77(a1))))+~P1(f326(f314(f938(a1,a1),a133),f326(f326(f251(a1,a1),x94122),x94123)))
% 198.08/197.85 [9431]P1(f326(f326(x94311,x94312),x94313))+~P1(f326(f326(f235(a1),f414(x94311,x94313,x94312)),f2(a1)))+P1(f326(f326(x94311,f326(f78(a1),f411(x94311,x94313,x94312))),f326(f78(a1),f414(x94311,x94313,x94312))))+~P1(f326(f314(f938(a1,a1),a221),f326(f326(f251(a1,a1),x94312),x94313)))
% 198.08/197.85 [9618]P1(f326(f326(x96181,x96182),x96183))+P1(f326(f326(x96181,f326(f326(f79(a1),f688(x96181,x96183,x96182)),f77(a1))),f691(x96181,x96183,x96182)))+~P1(f326(f326(f234(a1),f688(x96181,x96183,x96182)),f691(x96181,x96183,x96182)))+~P1(f326(f314(f938(a1,a1),a182),f326(f326(f251(a1,a1),x96182),x96183)))
% 198.08/197.85 [10055]~P67(x100552)+~P67(x100551)+~P1(f326(f56(f938(x100551,x100552)),x100553))+P1(f326(f56(x100551),f326(f326(f10(f939(x100552,a927),a927,x100551),f56(x100552)),f326(f326(f10(f939(x100552,f938(x100551,x100552)),f939(x100552,a927),x100551),f326(f10(f938(x100551,x100552),a927,x100552),x100553)),f251(x100551,x100552)))))
% 198.08/197.85 [10056]~P67(x100562)+~P67(x100561)+~P1(f326(f57(f938(x100561,x100562)),x100563))+P1(f326(f57(x100561),f326(f326(f10(f939(x100562,a927),a927,x100561),f57(x100562)),f326(f326(f10(f939(x100562,f938(x100561,x100562)),f939(x100562,a927),x100561),f326(f10(f938(x100561,x100562),a927,x100562),x100563)),f251(x100561,x100562)))))
% 198.08/197.85 [10151]~P67(x101512)+~P67(x101511)+P1(f326(f56(f938(x101511,x101512)),x101513))+~P1(f326(f56(x101511),f326(f326(f10(f939(x101512,a927),a927,x101511),f56(x101512)),f326(f326(f10(f939(x101512,f938(x101511,x101512)),f939(x101512,a927),x101511),f326(f10(f938(x101511,x101512),a927,x101512),x101513)),f251(x101511,x101512)))))
% 198.08/197.85 [10152]~P67(x101522)+~P67(x101521)+P1(f326(f57(f938(x101521,x101522)),x101523))+~P1(f326(f57(x101521),f326(f326(f10(f939(x101522,a927),a927,x101521),f57(x101522)),f326(f326(f10(f939(x101522,f938(x101521,x101522)),f939(x101522,a927),x101521),f326(f10(f938(x101521,x101522),a927,x101522),x101523)),f251(x101521,x101522)))))
% 198.08/197.85 [10326]E(f326(x103261,f351(x103262,x103261,x103263)),x103262)+~P1(f326(f326(f234(a1),x103262),f326(x103261,x103263)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103261,f326(f326(f79(a931),f352(x103262,x103261,x103263)),f77(a931)))),f326(x103261,f352(x103262,x103261,x103263))))),f77(a1)))+~P1(f326(f326(f234(a1),f326(x103261,f2(a931))),x103262))
% 198.08/197.85 [10327]E(f326(x103271,f374(x103272,x103271,x103273)),x103272)+~P1(f326(f326(f234(a1),x103272),f326(x103271,x103273)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103271,f326(f326(f79(a931),f375(x103272,x103271,x103273)),f77(a931)))),f326(x103271,f375(x103272,x103271,x103273))))),f77(a1)))+~P1(f326(f326(f234(a1),f326(x103271,f2(a931))),x103272))
% 198.08/197.85 [10330]~P1(f326(f326(f234(a1),x103301),f326(x103302,x103303)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103302,f326(f326(f79(a931),f352(x103301,x103302,x103303)),f77(a931)))),f326(x103302,f352(x103301,x103302,x103303))))),f77(a1)))+P1(f326(f326(f234(a931),f351(x103301,x103302,x103303)),x103303))+~P1(f326(f326(f234(a1),f326(x103302,f2(a931))),x103301))
% 198.08/197.85 [10331]~P1(f326(f326(f234(a1),x103311),f326(x103312,x103313)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x103312,f326(f326(f79(a931),f375(x103311,x103312,x103313)),f77(a931)))),f326(x103312,f375(x103311,x103312,x103313))))),f77(a1)))+P1(f326(f326(f234(a931),f374(x103311,x103312,x103313)),x103313))+~P1(f326(f326(f234(a1),f326(x103312,f2(a931))),x103311))
% 198.08/197.85 [10390]E(x103901,x103902)+~E(f326(f142(f932(x103903),f932(x103903),f134(x103903),f113(x103903)),x103901),f326(f142(f932(x103903),f932(x103903),f134(x103903),f113(x103903)),x103902))+~E(f326(f189(f932(f932(x103903))),x103901),f326(f189(f932(f932(x103903))),x103902))+~P1(f326(f326(f256(f932(x103903),f932(x103903),a927),f326(f326(f9(f932(x103903),f939(f932(x103903),a931),f939(f932(x103903),a927)),f326(f326(f10(f939(a931,a927),f939(f939(f932(x103903),a931),f939(f932(x103903),a927)),f932(x103903)),f10(a931,a927,f932(x103903))),f326(f326(f10(a931,f939(a931,a927),f932(x103903)),a323),f189(f932(x103903))))),f189(f932(x103903)))),f715(x103902,x103901,x103903)))
% 198.08/197.85 [10391]E(x103911,x103912)+~E(f326(f142(f932(x103913),f932(x103913),f134(x103913),f113(x103913)),x103911),f326(f142(f932(x103913),f932(x103913),f134(x103913),f113(x103913)),x103912))+~E(f326(f189(f932(f932(x103913))),x103911),f326(f189(f932(f932(x103913))),x103912))+~P1(f326(f326(f256(f932(x103913),f932(x103913),a927),f326(f326(f9(f932(x103913),f939(f932(x103913),a931),f939(f932(x103913),a927)),f326(f326(f10(f939(a931,a927),f939(f939(f932(x103913),a931),f939(f932(x103913),a927)),f932(x103913)),f10(a931,a927,f932(x103913))),f326(f326(f10(a931,f939(a931,a927),f932(x103913)),a323),f189(f932(x103913))))),f189(f932(x103913)))),f716(x103911,x103912,x103913)))
% 198.08/197.85 [7073]~E(f77(a931),f2(a931))+~P1(f326(f61(x70731),x70733))+~P1(f326(f61(x70731),x70732))+E(f326(f326(f79(a931),f326(f35(x70731),x70732)),f326(f35(x70731),x70733)),f326(f35(x70731),f326(f326(f110(f939(x70731,a927)),x70732),x70733)))
% 198.08/197.85 [7489]~P105(x74891)+~P1(f326(f61(x74891),x74892))+~P1(f326(f326(f328(x74891),x74893),x74892))+P1(f326(f326(f234(x74891),f326(f63(x74891,f101(x74891)),x74892)),x74893))
% 198.08/197.85 [7490]~P111(x74901)+~P1(f326(f61(x74901),x74902))+~P1(f326(f326(f328(x74901),x74903),x74902))+P1(f326(f326(f234(x74901),f326(f63(x74901,f232(x74901)),x74902)),x74903))
% 198.08/197.85 [7753]~P1(f326(f61(x77531),x77533))+~P1(f326(f61(x77531),x77532))+~E(f326(f326(f101(f939(x77531,a927)),x77532),x77533),f188(f939(x77531,a927)))+E(f326(f326(f79(a931),f326(f35(x77531),x77532)),f326(f35(x77531),x77533)),f326(f35(x77531),f326(f326(f110(f939(x77531,a927)),x77532),x77533)))
% 198.08/197.85 [8546]~P41(x85461,x85463)+~P41(x85461,x85462)+~E(f326(f326(f101(f939(x85461,a927)),f326(f263(x85461,x85461),x85462)),f326(f283(x85461,x85461),x85463)),f188(f939(x85461,a927)))+P41(x85461,f326(f326(f110(f939(f938(x85461,x85461),a927)),x85462),x85463))
% 198.08/197.85 [8640]E(x86401,f326(f326(f36(a931),x86402),x86403))+~P1(f326(f326(f235(a931),f2(a931)),x86403))+~P1(f326(f326(f235(a931),x86402),f326(f326(f80(a931),x86403),f326(a112,x86401))))+~P1(f326(f326(f234(a931),f326(f326(f80(a931),x86403),x86401)),x86402))
% 198.08/197.85 [8772]~P1(f326(f61(x87721),x87722))+~P1(f326(f61(x87721),x87723))+E(f326(f326(f79(a931),f326(f35(x87721),x87722)),f326(f35(x87721),x87723)),f326(f35(x87721),f326(f326(f110(f939(x87721,a927)),x87722),x87723)))+P1(f326(f326(f328(x87721),f891(x87723,x87722,x87721)),f326(f326(f101(f939(x87721,a927)),x87722),x87723)))
% 198.08/197.85 [9166]~P130(x91662)+~E(x91661,f2(x91662))+~E(x91663,f2(x91662))+~P1(f326(f326(f235(x91662),f2(x91662)),f326(f326(f79(x91662),f326(f326(f80(x91662),x91663),x91663)),f326(f326(f80(x91662),x91661),x91661))))
% 198.08/197.85 [9699]~P41(x96991,x96993)+~P41(x96991,x96992)+P41(x96991,f326(f326(f110(f939(f938(x96991,x96991),a927)),x96992),x96993))+~P1(f326(f326(f234(f939(f938(x96991,x96991),a927)),f326(f326(f288(x96991,x96991,x96991),x96992),x96993)),x96992))
% 198.08/197.85 [9829]~P1(f326(x98291,x98293))+~P1(f326(f61(x98292),x98293))+P1(f326(x98291,f188(f939(x98292,a927))))+~P1(f326(x98291,f326(f326(f3(f939(x98292,a927)),f581(x98291,x98293,x98292)),f326(f326(f308(x98292),f572(x98291,x98293,x98292)),f188(f939(x98292,a927))))))
% 198.08/197.85 [8948]~P1(f326(f326(f235(a1),f2(a1)),x89483))+P1(f326(f326(f234(a1),f2(a1)),x89481))+~P1(f326(f326(f235(a1),x89482),x89483))+~P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x89483),x89481)),x89482)))
% 198.08/197.85 [8972]~P3(x89721)+~P1(f326(f61(x89721),x89722))+E(f326(f326(f3(f939(x89721,a927)),x89722),f326(f326(f308(x89721),x89723),f188(f939(x89721,a927)))),f188(f939(x89721,a927)))+E(f326(f326(f110(x89721),x89723),f12(x89721,f326(f326(f3(f939(x89721,a927)),x89722),f326(f326(f308(x89721),x89723),f188(f939(x89721,a927)))))),f12(x89721,f326(f326(f308(x89721),x89723),x89722)))
% 198.08/197.85 [8973]~P3(x89731)+~P1(f326(f61(x89731),x89732))+E(f326(f326(f3(f939(x89731,a927)),x89732),f326(f326(f308(x89731),x89733),f188(f939(x89731,a927)))),f188(f939(x89731,a927)))+E(f326(f326(f101(x89731),x89733),f13(x89731,f326(f326(f3(f939(x89731,a927)),x89732),f326(f326(f308(x89731),x89733),f188(f939(x89731,a927)))))),f13(x89731,f326(f326(f308(x89731),x89733),x89732)))
% 198.08/197.85 [8974]~P111(x89741)+~P1(f326(f61(x89741),x89742))+E(f326(f326(f3(f939(x89741,a927)),x89742),f326(f326(f308(x89741),x89743),f188(f939(x89741,a927)))),f188(f939(x89741,a927)))+E(f326(f326(f232(x89741),x89743),f16(x89741,f326(f326(f3(f939(x89741,a927)),x89742),f326(f326(f308(x89741),x89743),f188(f939(x89741,a927)))))),f16(x89741,f326(f326(f308(x89741),x89743),x89742)))
% 198.08/197.85 [8975]~P111(x89751)+~P1(f326(f61(x89751),x89752))+E(f326(f326(f3(f939(x89751,a927)),x89752),f326(f326(f308(x89751),x89753),f188(f939(x89751,a927)))),f188(f939(x89751,a927)))+E(f326(f326(f233(x89751),x89753),f17(x89751,f326(f326(f3(f939(x89751,a927)),x89752),f326(f326(f308(x89751),x89753),f188(f939(x89751,a927)))))),f17(x89751,f326(f326(f308(x89751),x89753),x89752)))
% 198.08/197.85 [9047]~P111(x90471)+~P1(f326(f61(x90471),x90472))+E(f326(f326(f3(f939(x90471,a927)),x90472),f326(f326(f308(x90471),x90473),f188(f939(x90471,a927)))),f188(f939(x90471,a927)))+E(f326(f326(f232(x90471),x90473),f14(x90471,f232(x90471),f326(f326(f3(f939(x90471,a927)),x90472),f326(f326(f308(x90471),x90473),f188(f939(x90471,a927)))))),f14(x90471,f232(x90471),f326(f326(f308(x90471),x90473),x90472)))
% 198.08/197.85 [9048]~P111(x90481)+~P1(f326(f61(x90481),x90482))+E(f326(f326(f3(f939(x90481,a927)),x90482),f326(f326(f308(x90481),x90483),f188(f939(x90481,a927)))),f188(f939(x90481,a927)))+E(f326(f326(f233(x90481),x90483),f15(x90481,f233(x90481),f326(f326(f3(f939(x90481,a927)),x90482),f326(f326(f308(x90481),x90483),f188(f939(x90481,a927)))))),f15(x90481,f233(x90481),f326(f326(f308(x90481),x90483),x90482)))
% 198.08/197.85 [9637]E(x96371,x96372)+~E(f326(f142(f932(x96373),f932(x96373),f134(x96373),f113(x96373)),x96371),f326(f142(f932(x96373),f932(x96373),f134(x96373),f113(x96373)),x96372))+~E(f326(f189(f932(f932(x96373))),x96371),f326(f189(f932(f932(x96373))),x96372))+P1(f326(f326(f328(f938(f932(x96373),f932(x96373))),f715(x96372,x96371,x96373)),f326(f172(f938(f932(x96373),f932(x96373))),f326(f326(f181(f932(x96373),f932(x96373)),x96371),x96372))))
% 198.08/197.85 [9638]E(x96381,x96382)+~E(f326(f142(f932(x96383),f932(x96383),f134(x96383),f113(x96383)),x96381),f326(f142(f932(x96383),f932(x96383),f134(x96383),f113(x96383)),x96382))+~E(f326(f189(f932(f932(x96383))),x96381),f326(f189(f932(f932(x96383))),x96382))+P1(f326(f326(f328(f938(f932(x96383),f932(x96383))),f716(x96381,x96382,x96383)),f326(f172(f938(f932(x96383),f932(x96383))),f326(f326(f181(f932(x96383),f932(x96383)),x96382),x96381))))
% 198.08/197.85 [10500]~P102(x105002)+E(x105001,f188(f939(x105002,a927)))+~P1(f326(f61(x105002),x105001))+E(f13(x105002,f326(f261(x105002),f326(f326(f10(f939(x105002,a927),a927,x105002),f86(x105002)),f326(f326(f9(x105002,f939(x105002,a927),f939(x105002,a927)),f326(f326(f10(f939(x105002,f939(a927,a927)),f939(f939(x105002,a927),f939(x105002,a927)),x105002),f20(x105002,a927,a927)),f326(f326(f10(f939(x105002,a927),f939(x105002,f939(a927,a927)),x105002),f326(f10(a927,f939(a927,a927),x105002),a324)),f326(f326(f9(x105002,f939(x105002,x105002),f939(x105002,a927)),f326(f326(f10(f939(x105002,a927),f939(f939(x105002,x105002),f939(x105002,a927)),x105002),f10(x105002,a927,x105002)),a323)),f326(f110(x105002),x105003))))),f326(f326(f9(x105002,f939(x105002,a927),a927),f328(x105002)),x105001))))),f326(f326(f110(x105002),x105003),f13(x105002,x105001)))
% 198.08/197.85 [10501]~P82(x105012)+E(x105011,f188(f939(x105012,a927)))+~P1(f326(f61(x105012),x105011))+E(f16(x105012,f326(f261(x105012),f326(f326(f10(f939(x105012,a927),a927,x105012),f86(x105012)),f326(f326(f9(x105012,f939(x105012,a927),f939(x105012,a927)),f326(f326(f10(f939(x105012,f939(a927,a927)),f939(f939(x105012,a927),f939(x105012,a927)),x105012),f20(x105012,a927,a927)),f326(f326(f10(f939(x105012,a927),f939(x105012,f939(a927,a927)),x105012),f326(f10(a927,f939(a927,a927),x105012),a324)),f326(f326(f9(x105012,f939(x105012,x105012),f939(x105012,a927)),f326(f326(f10(f939(x105012,a927),f939(f939(x105012,x105012),f939(x105012,a927)),x105012),f10(x105012,a927,x105012)),a323)),f326(f79(x105012),x105013))))),f326(f326(f9(x105012,f939(x105012,a927),a927),f328(x105012)),x105011))))),f326(f326(f79(x105012),x105013),f16(x105012,x105011)))
% 198.08/197.85 [10502]~P82(x105022)+E(x105021,f188(f939(x105022,a927)))+~P1(f326(f61(x105022),x105021))+E(f17(x105022,f326(f261(x105022),f326(f326(f10(f939(x105022,a927),a927,x105022),f86(x105022)),f326(f326(f9(x105022,f939(x105022,a927),f939(x105022,a927)),f326(f326(f10(f939(x105022,f939(a927,a927)),f939(f939(x105022,a927),f939(x105022,a927)),x105022),f20(x105022,a927,a927)),f326(f326(f10(f939(x105022,a927),f939(x105022,f939(a927,a927)),x105022),f326(f10(a927,f939(a927,a927),x105022),a324)),f326(f326(f9(x105022,f939(x105022,x105022),f939(x105022,a927)),f326(f326(f10(f939(x105022,a927),f939(f939(x105022,x105022),f939(x105022,a927)),x105022),f10(x105022,a927,x105022)),a323)),f326(f79(x105022),x105023))))),f326(f326(f9(x105022,f939(x105022,a927),a927),f328(x105022)),x105021))))),f326(f326(f79(x105022),x105023),f17(x105022,x105021)))
% 198.08/197.85 [10503]~P102(x105032)+E(x105031,f188(f939(x105032,a927)))+~P1(f326(f61(x105032),x105031))+E(f12(x105032,f326(f261(x105032),f326(f326(f10(f939(x105032,a927),a927,x105032),f86(x105032)),f326(f326(f9(x105032,f939(x105032,a927),f939(x105032,a927)),f326(f326(f10(f939(x105032,f939(a927,a927)),f939(f939(x105032,a927),f939(x105032,a927)),x105032),f20(x105032,a927,a927)),f326(f326(f10(f939(x105032,a927),f939(x105032,f939(a927,a927)),x105032),f326(f10(a927,f939(a927,a927),x105032),a324)),f326(f326(f9(x105032,f939(x105032,x105032),f939(x105032,a927)),f326(f326(f10(f939(x105032,a927),f939(f939(x105032,x105032),f939(x105032,a927)),x105032),f10(x105032,a927,x105032)),a323)),f326(f101(x105032),x105033))))),f326(f326(f9(x105032,f939(x105032,a927),a927),f328(x105032)),x105031))))),f326(f326(f101(x105032),x105033),f12(x105032,x105031)))
% 198.08/197.85 [10504]~P111(x105042)+E(x105041,f188(f939(x105042,a927)))+~P1(f326(f61(x105042),x105041))+E(f15(x105042,f233(x105042),f326(f261(x105042),f326(f326(f10(f939(x105042,a927),a927,x105042),f86(x105042)),f326(f326(f9(x105042,f939(x105042,a927),f939(x105042,a927)),f326(f326(f10(f939(x105042,f939(a927,a927)),f939(f939(x105042,a927),f939(x105042,a927)),x105042),f20(x105042,a927,a927)),f326(f326(f10(f939(x105042,a927),f939(x105042,f939(a927,a927)),x105042),f326(f10(a927,f939(a927,a927),x105042),a324)),f326(f326(f9(x105042,f939(x105042,x105042),f939(x105042,a927)),f326(f326(f10(f939(x105042,a927),f939(f939(x105042,x105042),f939(x105042,a927)),x105042),f10(x105042,a927,x105042)),a323)),f326(f232(x105042),x105043))))),f326(f326(f9(x105042,f939(x105042,a927),a927),f328(x105042)),x105041))))),f326(f326(f232(x105042),x105043),f15(x105042,f233(x105042),x105041)))
% 198.08/197.85 [10505]~P111(x105052)+E(x105051,f188(f939(x105052,a927)))+~P1(f326(f61(x105052),x105051))+E(f14(x105052,f232(x105052),f326(f261(x105052),f326(f326(f10(f939(x105052,a927),a927,x105052),f86(x105052)),f326(f326(f9(x105052,f939(x105052,a927),f939(x105052,a927)),f326(f326(f10(f939(x105052,f939(a927,a927)),f939(f939(x105052,a927),f939(x105052,a927)),x105052),f20(x105052,a927,a927)),f326(f326(f10(f939(x105052,a927),f939(x105052,f939(a927,a927)),x105052),f326(f10(a927,f939(a927,a927),x105052),a324)),f326(f326(f9(x105052,f939(x105052,x105052),f939(x105052,a927)),f326(f326(f10(f939(x105052,a927),f939(f939(x105052,x105052),f939(x105052,a927)),x105052),f10(x105052,a927,x105052)),a323)),f326(f233(x105052),x105053))))),f326(f326(f9(x105052,f939(x105052,a927),a927),f328(x105052)),x105051))))),f326(f326(f233(x105052),x105053),f14(x105052,f232(x105052),x105051)))
% 198.08/197.85 [10217]~P122(x102171)+~E(x102173,f2(x102171))+~E(x102172,f2(x102171))+E(f326(f326(f79(x102171),f326(f326(f243(x102171),x102172),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x102171),x102173),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f2(x102171))
% 198.08/197.85 [10371]~P114(x103711)+~P1(f326(f326(f234(x103711),f2(x103711)),x103713))+P1(f326(f326(f234(x103711),x103712),x103713))+~P1(f326(f326(f234(x103711),f326(f326(f243(x103711),x103712),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x103711),x103713),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))))
% 198.08/197.85 [10429]~P122(x104292)+~E(x104291,f2(x104292))+~E(x104293,f2(x104292))+~P1(f326(f326(f235(x104292),f2(x104292)),f326(f326(f79(x104292),f326(f326(f243(x104292),x104293),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97))))),f326(f326(f243(x104292),x104291),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))))
% 198.08/197.85 [6954]~P9(x69543,x69542)+~P1(f326(x69541,x69544))+~P1(f326(f326(f328(x69543),x69544),f269(x69543,x69542)))+P1(f326(x69541,f833(x69541,x69542,x69543)))
% 198.08/197.85 [8883]P28(x88831,x88832,f837(x88833,x88832,x88834,x88831),x88834,x88833)+~E(f326(f35(x88831),x88834),f326(f35(x88832),x88833))+~P1(f326(f61(x88832),x88833))+~P1(f326(f61(x88831),x88834))
% 198.08/197.85 [9600]E(x96001,x96002)+~E(f658(x96001,x96002,x96004,x96003),f663(x96001,x96002,x96004,x96003))+P1(f326(f326(f328(f938(f932(x96003),f932(x96003))),f326(f326(f251(f932(x96003),f932(x96003)),x96002),x96001)),f147(x96003,x96004)))+P1(f326(f326(f328(f938(f932(x96003),f932(x96003))),f326(f326(f251(f932(x96003),f932(x96003)),x96001),x96002)),f147(x96003,x96004)))
% 198.08/197.85 [5098]~P68(x50982)+~E(x50984,f2(x50982))+~E(x50981,f2(x50982))+E(x50981,f326(f326(f290(x50982),x50983),x50984))
% 198.08/197.85 [5099]~P68(x50991)+~E(x50993,f2(x50991))+~E(x50994,f2(x50991))+E(f326(f326(f290(x50991),x50992),x50993),x50994)
% 198.08/197.85 [5215]~P68(x52152)+E(x52151,f2(x52152))+~E(x52153,f2(x52152))+~E(x52151,f326(f326(f290(x52152),x52154),x52153))
% 198.08/197.85 [5216]~P68(x52162)+E(x52161,f2(x52162))+~E(x52163,f2(x52162))+~E(f326(f326(f290(x52162),x52164),x52163),x52161)
% 198.08/197.85 [5396]~P126(x53962)+E(x53961,f2(x53962))+~E(f326(f326(f290(x53962),x53963),x53961),x53964)+E(x53963,f326(f326(f80(x53962),x53964),x53961))
% 198.08/197.85 [5398]~P126(x53982)+E(x53981,f2(x53982))+~E(f326(f326(f80(x53982),x53983),x53981),x53984)+E(x53983,f326(f326(f290(x53982),x53984),x53981))
% 198.08/197.85 [5399]~P68(x53992)+E(x53991,f2(x53992))+~E(f326(f326(f290(x53992),x53993),x53991),x53994)+E(x53993,f326(f326(f80(x53992),x53994),x53991))
% 198.08/197.85 [5400]~P68(x54002)+E(x54001,f2(x54002))+~E(f326(f326(f80(x54002),x54003),x54001),x54004)+E(x54003,f326(f326(f290(x54002),x54004),x54001))
% 198.08/197.85 [5401]~P126(x54012)+E(x54011,f2(x54012))+~E(x54013,f326(f326(f290(x54012),x54014),x54011))+E(f326(f326(f80(x54012),x54013),x54011),x54014)
% 198.08/197.85 [5403]~P126(x54032)+E(x54031,f2(x54032))+~E(x54033,f326(f326(f80(x54032),x54034),x54031))+E(f326(f326(f290(x54032),x54033),x54031),x54034)
% 198.08/197.85 [5404]~P68(x54042)+E(x54041,f2(x54042))+~E(x54043,f326(f326(f290(x54042),x54044),x54041))+E(f326(f326(f80(x54042),x54043),x54041),x54044)
% 198.08/197.85 [5405]~P68(x54052)+E(x54051,f2(x54052))+~E(x54053,f326(f326(f80(x54052),x54054),x54051))+E(f326(f326(f290(x54052),x54053),x54051),x54054)
% 198.08/197.85 [5429]~P68(x54292)+~E(x54291,f2(x54292))+~E(f326(f326(f80(x54292),x54291),x54294),x54293)+E(x54291,f326(f326(f290(x54292),x54293),x54294))
% 198.08/197.85 [5430]~P68(x54301)+~E(x54304,f2(x54301))+~E(x54302,f326(f326(f80(x54301),x54304),x54303))+E(f326(f326(f290(x54301),x54302),x54303),x54304)
% 198.08/197.85 [5504]~E(x55043,x55044)+~E(x55042,x55043)+~P112(x55041)+E(f302(x55041,x55042,x55043),f326(f326(f308(x55041),x55044),f188(f939(x55041,a927))))
% 198.08/197.85 [5710]~E(f114(x57102,x57101),x57103)+~E(f144(x57102,x57101),x57104)+E(x57101,f113(x57102))+E(f326(f326(f134(x57102),x57103),f326(f326(f151(x57102),x57104),f113(x57102))),x57101)
% 198.08/197.85 [6348]~P114(x63483)+E(x63481,x63482)+~E(f326(f326(f243(x63483),x63484),x63481),f326(f326(f243(x63483),x63484),x63482))+~P1(f326(f326(f235(x63483),f77(x63483)),x63484))
% 198.08/197.85 [6349]E(x63491,x63492)+~E(f326(f326(f308(x63493),x63494),x63491),f326(f326(f308(x63493),x63494),x63492))+P1(f326(f326(f328(x63493),x63494),x63492))+P1(f326(f326(f328(x63493),x63494),x63491))
% 198.08/197.85 [6392]E(f326(x63921,x63922),f77(a931))+~E(f326(f326(f11(x63923,a931),x63921),x63924),f77(a931))+~P1(f326(f61(x63923),x63924))+~P1(f326(f326(f328(x63923),x63922),x63924))
% 198.08/197.85 [6393]E(f326(x63931,x63932),f2(a931))+~E(f326(f326(f8(x63933,a931),x63931),x63934),f2(a931))+~P1(f326(f61(x63933),x63934))+~P1(f326(f326(f328(x63933),x63932),x63934))
% 198.08/197.85 [6610]~P112(x66101)+~P1(f326(f326(f234(x66101),x66104),x66103))+P1(f326(f326(f234(x66101),x66102),x66103))+~P1(f326(f326(f234(x66101),x66102),x66104))
% 198.08/197.85 [6611]~P109(x66111)+~P1(f326(f326(f234(x66111),x66112),x66114))+P1(f326(f326(f234(x66111),x66112),x66113))+~P1(f326(f326(f234(x66111),x66114),x66113))
% 198.08/197.85 [6612]~P112(x66121)+~P1(f326(f326(f235(x66121),x66124),x66123))+P1(f326(f326(f235(x66121),x66122),x66123))+~P1(f326(f326(f234(x66121),x66122),x66124))
% 198.08/197.85 [6613]~P112(x66131)+~P1(f326(f326(f235(x66131),x66132),x66134))+P1(f326(f326(f235(x66131),x66132),x66133))+~P1(f326(f326(f234(x66131),x66134),x66133))
% 198.08/197.85 [6614]~P112(x66141)+~P1(f326(f326(f235(x66141),x66144),x66143))+P1(f326(f326(f235(x66141),x66142),x66143))+~P1(f326(f326(f235(x66141),x66142),x66144))
% 198.08/197.85 [6615]~P109(x66151)+~P1(f326(f326(f235(x66151),x66152),x66154))+P1(f326(f326(f235(x66151),x66152),x66153))+~P1(f326(f326(f234(x66151),x66154),x66153))
% 198.08/197.85 [6616]~P109(x66161)+~P1(f326(f326(f235(x66161),x66164),x66163))+P1(f326(f326(f235(x66161),x66162),x66163))+~P1(f326(f326(f234(x66161),x66162),x66164))
% 198.08/197.85 [6617]~P109(x66171)+~P1(f326(f326(f235(x66171),x66172),x66174))+P1(f326(f326(f235(x66171),x66172),x66173))+~P1(f326(f326(f235(x66171),x66174),x66173))
% 198.08/197.85 [6699]~P39(x66994,x66993,x66992)+E(x66991,f770(x66992,x66993,x66994))+~P1(f326(x66993,x66991))+~P1(f326(f326(f328(x66994),x66991),f326(f172(x66994),x66992)))
% 198.08/197.85 [6700]~P39(x67004,x67003,x67002)+E(x67001,f781(x67002,x67003,x67004))+~P1(f326(x67003,x67001))+~P1(f326(f326(f328(x67004),x67001),f326(f172(x67004),x67002)))
% 198.08/197.85 [6848]~P7(x68481)+~P1(f326(f326(f234(x68481),x68482),f38(x68481,x68484)))+P1(f326(f326(f234(x68481),x68482),x68483))+~P1(f326(f326(f328(x68481),x68483),x68484))
% 198.08/197.85 [6994]~P111(x69941)+~P15(x69941,f326(f326(f151(x69941),x69942),x69944))+~P1(f326(f326(f328(x69941),x69943),f326(f172(x69941),x69944)))+P1(f326(f326(f234(x69941),x69942),x69943))
% 198.08/197.85 [7083]~P7(x70831)+~P1(f326(f326(f234(x70831),f37(x70831,x70834)),x70833))+P1(f326(f326(f234(x70831),x70832),x70833))+~P1(f326(f326(f328(x70831),x70832),x70834))
% 198.08/197.85 [7492]~P111(x74921)+E(f326(f326(f110(f939(x74921,a927)),f326(f301(x74921,x74922),x74923)),f326(f301(x74921,x74923),x74924)),f326(f301(x74921,x74922),x74924))+~P1(f326(f326(f234(x74921),x74923),x74924))+~P1(f326(f326(f234(x74921),x74922),x74923))
% 198.08/197.85 [7539]P39(x75391,x75392,x75393)+~E(f782(x75393,x75392,x75391,x75394),x75394)+~P1(f326(x75392,x75394))+~P1(f326(f326(f328(x75391),x75394),f326(f172(x75391),x75393)))
% 198.08/197.85 [7540]P39(x75401,x75402,x75403)+~E(f788(x75403,x75402,x75401,x75404),x75404)+~P1(f326(x75402,x75404))+~P1(f326(f326(f328(x75401),x75404),f326(f172(x75401),x75403)))
% 198.08/197.85 [7618]~P111(x76181)+E(f326(f326(f110(f939(x76181,a927)),f326(f301(x76181,x76182),x76183)),f302(x76181,x76183,x76184)),f302(x76181,x76182,x76184))+~P1(f326(f326(f234(x76181),x76183),x76184))+~P1(f326(f326(f234(x76181),x76182),x76183))
% 198.08/197.85 [7680]~P111(x76801)+E(f326(f326(f110(f939(x76801,a927)),f305(x76801,x76802,x76803)),f326(f301(x76801,x76803),x76804)),f305(x76801,x76802,x76804))+~P1(f326(f326(f234(x76801),x76803),x76804))+~P1(f326(f326(f235(x76801),x76802),x76803))
% 198.08/197.85 [7700]~P111(x77001)+E(f326(f326(f110(f939(x77001,a927)),f302(x77001,x77002,x77003)),f305(x77001,x77003,x77004)),f326(f301(x77001,x77002),x77004))+~P1(f326(f326(f234(x77001),x77002),x77003))+~P1(f326(f326(f235(x77001),x77003),x77004))
% 198.08/197.85 [7734]~P111(x77341)+E(f326(f326(f110(f939(x77341,a927)),f302(x77341,x77342,x77343)),f304(x77341,x77343,x77344)),f302(x77341,x77342,x77344))+~P1(f326(f326(f234(x77341),x77343),x77344))+~P1(f326(f326(f234(x77341),x77342),x77343))
% 198.08/197.85 [7735]~P111(x77351)+E(f326(f326(f110(f939(x77351,a927)),f305(x77351,x77352,x77353)),f302(x77351,x77353,x77354)),f304(x77351,x77352,x77354))+~P1(f326(f326(f234(x77351),x77353),x77354))+~P1(f326(f326(f235(x77351),x77352),x77353))
% 198.08/197.85 [7736]~P111(x77361)+E(f326(f326(f110(f939(x77361,a927)),f304(x77361,x77362,x77363)),f305(x77361,x77363,x77364)),f305(x77361,x77362,x77364))+~P1(f326(f326(f234(x77361),x77362),x77363))+~P1(f326(f326(f235(x77361),x77363),x77364))
% 198.08/197.85 [7737]~P111(x77371)+E(f326(f326(f110(f939(x77371,a927)),f304(x77371,x77372,x77373)),f304(x77371,x77373,x77374)),f304(x77371,x77372,x77374))+~P1(f326(f326(f234(x77371),x77373),x77374))+~P1(f326(f326(f234(x77371),x77372),x77373))
% 198.08/197.85 [8530]P27(x85301,x85302,f525(x85303,x85302,x85304,x85301),x85304)+~P1(f326(f61(x85302),x85303))+~P1(f326(f61(x85301),x85304))+~P1(f326(f326(f234(a931),f326(f35(x85301),x85304)),f326(f35(x85302),x85303)))
% 198.08/197.85 [8551]P39(x85511,x85512,x85513)+~P1(f326(x85512,x85514))+P1(f326(x85512,f782(x85513,x85512,x85511,x85514)))+~P1(f326(f326(f328(x85511),x85514),f326(f172(x85511),x85513)))
% 198.08/197.85 [8552]P39(x85521,x85522,x85523)+~P1(f326(x85522,x85524))+P1(f326(x85522,f788(x85523,x85522,x85521,x85524)))+~P1(f326(f326(f328(x85521),x85524),f326(f172(x85521),x85523)))
% 198.08/197.85 [8606]~P75(x86061)+~E(f326(x86063,f910(x86063,x86064,x86062,x86061)),f77(x86061))+E(f326(f326(f326(f65(x86061,x86062,f80(x86061)),x86063),f77(x86061)),x86064),f77(x86061))+~P1(f326(f61(x86062),x86064))
% 198.08/197.85 [8872]~P114(x88721)+~P1(f326(f326(f234(x88721),f2(x88721)),x88723))+P1(f326(f326(f234(x88721),x88722),x88723))+~P1(f326(f326(f234(x88721),f326(f326(f243(x88721),x88722),f326(a112,x88724))),f326(f326(f243(x88721),x88723),f326(a112,x88724))))
% 198.08/197.85 [9192]P39(x91921,x91922,x91923)+~P1(f326(x91922,x91924))+~P1(f326(f326(f328(x91921),x91924),f326(f172(x91921),x91923)))+P1(f326(f326(f328(x91921),f782(x91923,x91922,x91921,x91924)),f326(f172(x91921),x91923)))
% 198.08/197.85 [9193]P39(x91931,x91932,x91933)+~P1(f326(x91932,x91934))+~P1(f326(f326(f328(x91931),x91934),f326(f172(x91931),x91933)))+P1(f326(f326(f328(x91931),f788(x91933,x91932,x91931,x91934)),f326(f172(x91931),x91933)))
% 198.08/197.85 [9269]~P75(x92691)+E(f326(f326(f326(f65(x92691,x92692,f80(x92691)),x92693),f77(x92691)),x92694),f77(x92691))+~P1(f326(f61(x92692),x92694))+P1(f326(f326(f328(x92692),f910(x92693,x92694,x92692,x92691)),x92694))
% 198.08/197.85 [9771]~P1(f326(f326(f234(a1),x97714),f2(a1)))+P1(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x97711),f45(a1,x97712,x97713))),x97714)),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x97713))+~P1(f326(f326(f235(a1),x97711),x97714))
% 198.08/197.85 [10210]~P1(f326(f61(x102101),x102102))+~P1(f326(f326(f328(x102101),x102104),x102102))+~P1(f326(f326(f328(x102101),x102103),x102102))+P1(f326(f326(f235(a931),f326(f35(x102101),f326(f326(f3(f939(x102101,a927)),f326(f326(f3(f939(x102101,a927)),x102102),f326(f326(f308(x102101),x102103),f188(f939(x102101,a927))))),f326(f326(f308(x102101),x102104),f188(f939(x102101,a927)))))),f326(f35(x102101),x102102)))
% 198.08/197.85 [7141]~P149(x71413)+~P125(x71413)+P1(f326(x71411,f867(x71412,x71411,x71413)))+~P1(f326(x71411,f326(f326(f80(x71413),x71412),x71414)))
% 198.08/197.85 [7199]~P105(x71991)+~P1(f326(f326(f234(x71991),x71992),x71994))+~P1(f326(f326(f234(x71991),x71992),x71993))+P1(f326(f326(f234(x71991),x71992),f326(f326(f101(x71991),x71993),x71994)))
% 198.08/197.85 [7202]~P111(x72021)+~P1(f326(f326(f234(x72021),x72022),x72024))+~P1(f326(f326(f234(x72021),x72022),x72023))+P1(f326(f326(f234(x72021),x72022),f326(f326(f232(x72021),x72023),x72024)))
% 198.08/197.85 [7203]~P111(x72031)+~P1(f326(f326(f235(x72031),x72032),x72034))+~P1(f326(f326(f235(x72031),x72032),x72033))+P1(f326(f326(f235(x72031),x72032),f326(f326(f232(x72031),x72033),x72034)))
% 198.08/197.85 [7224]~P69(x72242)+E(x72241,f2(x72242))+E(f326(f326(f290(x72242),f326(f326(f243(x72242),x72241),x72243)),f326(f326(f243(x72242),x72241),x72244)),f326(f326(f243(x72242),x72241),f326(f326(f3(a931),x72243),x72244)))+~P1(f326(f326(f234(a931),x72244),x72243))
% 198.08/197.85 [7268]~P111(x72681)+~P15(x72681,f326(f326(f151(x72681),x72683),x72684))+P15(x72681,f326(f326(f151(x72681),x72682),f326(f326(f151(x72681),x72683),x72684)))+~P1(f326(f326(f234(x72681),x72682),x72683))
% 198.08/197.85 [7306]~P92(x73061)+~P1(f326(f326(f234(x73061),f2(x73061)),x73064))+~P1(f326(f326(f234(x73061),x73062),x73063))+P1(f326(f326(f234(x73061),x73062),f326(f326(f79(x73061),x73063),x73064)))
% 198.08/197.85 [7307]~P92(x73071)+~P1(f326(f326(f234(x73071),f2(x73071)),x73073))+~P1(f326(f326(f234(x73071),x73072),x73074))+P1(f326(f326(f234(x73071),x73072),f326(f326(f79(x73071),x73073),x73074)))
% 198.08/197.85 [7308]~P114(x73081)+~P1(f326(f326(f235(x73081),f2(x73081)),x73083))+~P1(f326(f326(f235(x73081),x73082),x73084))+P1(f326(f326(f235(x73081),x73082),f326(f326(f79(x73081),x73083),x73084)))
% 198.08/197.85 [7309]~P92(x73091)+~P1(f326(f326(f234(x73091),x73092),x73094))+~P1(f326(f326(f235(x73091),f2(x73091)),x73093))+P1(f326(f326(f235(x73091),x73092),f326(f326(f79(x73091),x73093),x73094)))
% 198.08/197.85 [7310]~P92(x73101)+~P1(f326(f326(f234(x73101),f2(x73101)),x73103))+~P1(f326(f326(f235(x73101),x73102),x73104))+P1(f326(f326(f235(x73101),x73102),f326(f326(f79(x73101),x73103),x73104)))
% 198.08/197.85 [7351]~P111(x73511)+P1(f326(f326(f234(x73511),x73512),x73513))+P1(f326(f326(f234(x73511),x73512),x73514))+~P1(f326(f326(f234(x73511),x73512),f326(f326(f233(x73511),x73514),x73513)))
% 198.08/197.85 [7352]~P111(x73521)+P1(f326(f326(f235(x73521),x73522),x73523))+P1(f326(f326(f235(x73521),x73522),x73524))+~P1(f326(f326(f235(x73521),x73522),f326(f326(f233(x73521),x73524),x73523)))
% 198.08/197.85 [7653]~P112(x76532)+~P67(x76531)+~P1(f326(f326(f235(f939(x76531,x76532)),x76533),x76534))+P1(f326(f326(f234(f939(x76531,x76532)),x76533),x76534))
% 198.08/197.85 [8021]~P71(x80211)+~P1(f326(f326(f235(x80211),x80214),f2(x80211)))+~P1(f326(f326(f234(x80211),x80213),f326(f326(f290(x80211),x80212),x80214)))+P1(f326(f326(f234(x80211),x80212),f326(f326(f80(x80211),x80213),x80214)))
% 198.08/197.85 [8022]~P71(x80221)+~P1(f326(f326(f235(x80221),x80224),f2(x80221)))+~P1(f326(f326(f234(x80221),x80223),f326(f326(f80(x80221),x80222),x80224)))+P1(f326(f326(f234(x80221),x80222),f326(f326(f290(x80221),x80223),x80224)))
% 198.08/197.85 [8023]~P71(x80231)+~P1(f326(f326(f235(x80231),x80234),f2(x80231)))+~P1(f326(f326(f235(x80231),x80233),f326(f326(f290(x80231),x80232),x80234)))+P1(f326(f326(f235(x80231),x80232),f326(f326(f80(x80231),x80233),x80234)))
% 198.08/197.85 [8024]~P71(x80241)+~P1(f326(f326(f235(x80241),x80244),f2(x80241)))+~P1(f326(f326(f235(x80241),x80243),f326(f326(f80(x80241),x80242),x80244)))+P1(f326(f326(f235(x80241),x80242),f326(f326(f290(x80241),x80243),x80244)))
% 198.08/197.85 [8135]~P131(x81351)+~P1(f326(f326(f234(x81351),x81352),f2(x81351)))+~P1(f326(f326(f234(x81351),x81354),x81353))+P1(f326(f326(f234(x81351),f326(f326(f80(x81351),x81352),x81353)),f326(f326(f80(x81351),x81352),x81354)))
% 198.08/197.85 [8136]~P130(x81361)+~P1(f326(f326(f235(x81361),x81362),f2(x81361)))+~P1(f326(f326(f234(x81361),x81364),x81363))+P1(f326(f326(f234(x81361),f326(f326(f80(x81361),x81362),x81363)),f326(f326(f80(x81361),x81362),x81364)))
% 198.08/197.85 [8137]~P131(x81371)+~P1(f326(f326(f234(x81371),x81373),f2(x81371)))+~P1(f326(f326(f234(x81371),x81374),x81372))+P1(f326(f326(f234(x81371),f326(f326(f80(x81371),x81372),x81373)),f326(f326(f80(x81371),x81374),x81373)))
% 198.08/197.85 [8138]~P70(x81381)+~P1(f326(f326(f234(x81381),x81383),f2(x81381)))+~P1(f326(f326(f234(x81381),x81384),x81382))+P1(f326(f326(f234(x81381),f326(f326(f290(x81381),x81382),x81383)),f326(f326(f290(x81381),x81384),x81383)))
% 198.08/197.85 [8142]~P130(x81421)+~P1(f326(f326(f235(x81421),x81423),f2(x81421)))+~P1(f326(f326(f235(x81421),x81424),x81422))+P1(f326(f326(f235(x81421),f326(f326(f80(x81421),x81422),x81423)),f326(f326(f80(x81421),x81424),x81423)))
% 198.08/197.85 [8143]~P130(x81431)+~P1(f326(f326(f235(x81431),x81432),f2(x81431)))+~P1(f326(f326(f235(x81431),x81434),x81433))+P1(f326(f326(f235(x81431),f326(f326(f80(x81431),x81432),x81433)),f326(f326(f80(x81431),x81432),x81434)))
% 198.08/197.85 [8144]~P71(x81441)+~P1(f326(f326(f235(x81441),x81443),f2(x81441)))+~P1(f326(f326(f235(x81441),x81444),x81442))+P1(f326(f326(f235(x81441),f326(f326(f290(x81441),x81442),x81443)),f326(f326(f290(x81441),x81444),x81443)))
% 198.08/197.85 [8145]~P114(x81451)+~P1(f326(f326(f235(x81451),f77(x81451)),x81452))+~P1(f326(f326(f234(a931),x81453),x81454))+P1(f326(f326(f234(x81451),f326(f326(f243(x81451),x81452),x81453)),f326(f326(f243(x81451),x81452),x81454)))
% 198.08/197.85 [8146]~P114(x81461)+~P1(f326(f326(f234(x81461),f77(x81461)),x81462))+~P1(f326(f326(f234(a931),x81463),x81464))+P1(f326(f326(f234(x81461),f326(f326(f243(x81461),x81462),x81463)),f326(f326(f243(x81461),x81462),x81464)))
% 198.08/197.85 [8148]~P114(x81481)+~P1(f326(f326(f235(x81481),f77(x81481)),x81482))+~P1(f326(f326(f235(a931),x81483),x81484))+P1(f326(f326(f235(x81481),f326(f326(f243(x81481),x81482),x81483)),f326(f326(f243(x81481),x81482),x81484)))
% 198.08/197.85 [8175]P1(f326(f326(f235(a931),f2(a931)),f326(x81751,x81752)))+~P1(f326(f61(x81753),x81754))+~P1(f326(f326(f328(x81753),x81752),x81754))+~P1(f326(f326(f235(a931),f2(a931)),f326(f326(f11(x81753,a931),x81751),x81754)))
% 198.08/197.85 [8185]~P130(x81851)+~P1(f326(f326(f235(x81851),f2(x81851)),x81852))+~P1(f326(f326(f234(x81851),x81853),x81854))+P1(f326(f326(f234(x81851),f326(f326(f80(x81851),x81852),x81853)),f326(f326(f80(x81851),x81852),x81854)))
% 198.08/197.85 [8186]~P140(x81861)+~P1(f326(f326(f234(x81861),x81863),x81864))+~P1(f326(f326(f234(x81861),f2(x81861)),x81862))+P1(f326(f326(f234(x81861),f326(f326(f80(x81861),x81862),x81863)),f326(f326(f80(x81861),x81862),x81864)))
% 198.08/197.85 [8187]~P139(x81871)+~P1(f326(f326(f234(x81871),x81873),x81874))+~P1(f326(f326(f234(x81871),f2(x81871)),x81872))+P1(f326(f326(f234(x81871),f326(f326(f80(x81871),x81872),x81873)),f326(f326(f80(x81871),x81872),x81874)))
% 198.08/197.85 [8188]~P140(x81881)+~P1(f326(f326(f234(x81881),x81882),x81884))+~P1(f326(f326(f234(x81881),f2(x81881)),x81883))+P1(f326(f326(f234(x81881),f326(f326(f80(x81881),x81882),x81883)),f326(f326(f80(x81881),x81884),x81883)))
% 198.08/197.85 [8189]~P70(x81891)+~P1(f326(f326(f234(x81891),x81892),x81894))+~P1(f326(f326(f234(x81891),f2(x81891)),x81893))+P1(f326(f326(f234(x81891),f326(f326(f290(x81891),x81892),x81893)),f326(f326(f290(x81891),x81894),x81893)))
% 198.08/197.85 [8190]~P114(x81901)+~P1(f326(f326(f234(x81901),x81902),x81904))+~P1(f326(f326(f234(x81901),f2(x81901)),x81902))+P1(f326(f326(f234(x81901),f326(f326(f243(x81901),x81902),x81903)),f326(f326(f243(x81901),x81904),x81903)))
% 198.08/197.85 [8192]~P123(x81921)+~P1(f326(f326(f235(x81921),x81923),x81924))+~P1(f326(f326(f235(x81921),f2(x81921)),x81922))+P1(f326(f326(f235(x81921),f326(f326(f80(x81921),x81922),x81923)),f326(f326(f80(x81921),x81922),x81924)))
% 198.08/197.85 [8193]~P137(x81931)+~P1(f326(f326(f235(x81931),x81933),x81934))+~P1(f326(f326(f235(x81931),f2(x81931)),x81932))+P1(f326(f326(f235(x81931),f326(f326(f80(x81931),x81932),x81933)),f326(f326(f80(x81931),x81932),x81934)))
% 198.08/197.85 [8194]~P130(x81941)+~P1(f326(f326(f235(x81941),x81942),x81944))+~P1(f326(f326(f235(x81941),f2(x81941)),x81943))+P1(f326(f326(f235(x81941),f326(f326(f80(x81941),x81942),x81943)),f326(f326(f80(x81941),x81944),x81943)))
% 198.08/197.85 [8195]~P137(x81951)+~P1(f326(f326(f235(x81951),x81952),x81954))+~P1(f326(f326(f235(x81951),f2(x81951)),x81953))+P1(f326(f326(f235(x81951),f326(f326(f80(x81951),x81952),x81953)),f326(f326(f80(x81951),x81954),x81953)))
% 198.08/197.85 [8196]~P130(x81961)+~P1(f326(f326(f235(x81961),x81963),x81964))+~P1(f326(f326(f235(x81961),f2(x81961)),x81962))+P1(f326(f326(f235(x81961),f326(f326(f80(x81961),x81962),x81963)),f326(f326(f80(x81961),x81962),x81964)))
% 198.08/197.85 [8197]~P71(x81971)+~P1(f326(f326(f235(x81971),x81972),x81974))+~P1(f326(f326(f235(x81971),f2(x81971)),x81973))+P1(f326(f326(f235(x81971),f326(f326(f290(x81971),x81972),x81973)),f326(f326(f290(x81971),x81974),x81973)))
% 198.08/197.85 [8239]~P110(x82392)+P1(f326(f326(f235(f939(x82391,x82392)),x82394),x82393))+~P1(f326(f326(f234(f939(x82391,x82392)),x82394),x82393))+P1(f326(f326(f234(f939(x82391,x82392)),x82393),x82394))
% 198.08/197.85 [8282]P1(f326(f326(f328(x82821),x82822),x82823))+P1(f326(f326(f328(x82821),x82822),x82824))+~P1(f326(f326(f234(f939(x82821,a927)),x82824),x82823))+P1(f326(f326(f235(f939(x82821,a927)),x82824),f326(f326(f308(x82821),x82822),x82823)))
% 198.08/197.85 [8395]~P124(x83952)+E(x83951,f2(x83952))+P1(f326(f326(f286(x83952),x83953),x83954))+~P1(f326(f326(f286(x83952),f326(f326(f80(x83952),x83953),x83951)),f326(f326(f80(x83952),x83954),x83951)))
% 198.08/197.85 [8396]~P124(x83962)+E(x83961,f2(x83962))+P1(f326(f326(f286(x83962),x83963),x83964))+~P1(f326(f326(f286(x83962),f326(f326(f80(x83962),x83961),x83963)),f326(f326(f80(x83962),x83961),x83964)))
% 198.08/197.85 [8443]P1(f326(f326(f328(x84431),x84432),x84433))+P1(f326(f326(f328(x84431),x84432),x84434))+~P1(f326(f326(f235(f939(x84431,a927)),x84434),f326(f326(f308(x84431),x84432),x84433)))+P1(f326(f326(f234(f939(x84431,a927)),x84434),x84433))
% 198.08/197.85 [8508]~P130(x85081)+P1(f326(f326(f235(x85081),x85083),x85082))+P1(f326(f326(f235(x85081),x85082),x85083))+~P1(f326(f326(f235(x85081),f326(f326(f80(x85081),x85084),x85082)),f326(f326(f80(x85081),x85084),x85083)))
% 198.08/197.85 [8509]~P130(x85091)+P1(f326(f326(f235(x85091),x85093),x85092))+P1(f326(f326(f235(x85091),x85092),x85093))+~P1(f326(f326(f235(x85091),f326(f326(f80(x85091),x85092),x85094)),f326(f326(f80(x85091),x85093),x85094)))
% 198.08/197.85 [8520]~P130(x85201)+P1(f326(f326(f235(x85201),x85204),f2(x85201)))+P1(f326(f326(f235(x85201),x85202),x85203))+~P1(f326(f326(f235(x85201),f326(f326(f80(x85201),x85202),x85204)),f326(f326(f80(x85201),x85203),x85204)))
% 198.08/197.85 [8521]~P130(x85211)+P1(f326(f326(f235(x85211),x85214),f2(x85211)))+P1(f326(f326(f235(x85211),x85212),x85213))+~P1(f326(f326(f235(x85211),f326(f326(f80(x85211),x85214),x85212)),f326(f326(f80(x85211),x85214),x85213)))
% 198.08/197.85 [8524]~P130(x85241)+P1(f326(f326(f235(x85241),x85242),x85243))+P1(f326(f326(f235(x85241),f2(x85241)),x85244))+~P1(f326(f326(f235(x85241),f326(f326(f80(x85241),x85244),x85243)),f326(f326(f80(x85241),x85244),x85242)))
% 198.08/197.85 [8525]~P130(x85251)+P1(f326(f326(f235(x85251),x85252),x85253))+P1(f326(f326(f235(x85251),f2(x85251)),x85254))+~P1(f326(f326(f235(x85251),f326(f326(f80(x85251),x85253),x85254)),f326(f326(f80(x85251),x85252),x85254)))
% 198.08/197.85 [8538]~P130(x85381)+P1(f326(f326(f235(x85381),x85382),f2(x85381)))+P1(f326(f326(f235(x85381),f2(x85381)),x85382))+~P1(f326(f326(f235(x85381),f326(f326(f80(x85381),x85383),x85382)),f326(f326(f80(x85381),x85384),x85382)))
% 198.08/197.85 [8539]~P130(x85391)+P1(f326(f326(f235(x85391),x85392),f2(x85391)))+P1(f326(f326(f235(x85391),f2(x85391)),x85392))+~P1(f326(f326(f235(x85391),f326(f326(f80(x85391),x85392),x85393)),f326(f326(f80(x85391),x85392),x85394)))
% 198.08/197.85 [8568]~P130(x85681)+~P1(f326(f326(f235(x85681),x85684),f2(x85681)))+P1(f326(f326(f234(x85681),x85682),x85683))+~P1(f326(f326(f234(x85681),f326(f326(f80(x85681),x85684),x85683)),f326(f326(f80(x85681),x85684),x85682)))
% 198.08/197.85 [8569]~P130(x85691)+~P1(f326(f326(f235(x85691),x85694),f2(x85691)))+P1(f326(f326(f235(x85691),x85692),x85693))+~P1(f326(f326(f235(x85691),f326(f326(f80(x85691),x85694),x85693)),f326(f326(f80(x85691),x85694),x85692)))
% 198.08/197.85 [8580]~P114(x85803)+~P1(f326(f326(f235(x85803),f77(x85803)),x85804))+P1(f326(f326(f234(a931),x85801),x85802))+~P1(f326(f326(f234(x85803),f326(f326(f243(x85803),x85804),x85801)),f326(f326(f243(x85803),x85804),x85802)))
% 198.08/197.85 [8582]~P114(x85823)+~P1(f326(f326(f235(x85823),f77(x85823)),x85824))+P1(f326(f326(f235(a931),x85821),x85822))+~P1(f326(f326(f235(x85823),f326(f326(f243(x85823),x85824),x85821)),f326(f326(f243(x85823),x85824),x85822)))
% 198.08/197.85 [8592]~P130(x85921)+P1(f326(f326(f234(x85921),x85922),x85923))+~P1(f326(f326(f235(x85921),f2(x85921)),x85924))+~P1(f326(f326(f234(x85921),f326(f326(f80(x85921),x85924),x85922)),f326(f326(f80(x85921),x85924),x85923)))
% 198.08/197.85 [8593]~P137(x85931)+P1(f326(f326(f234(x85931),x85932),x85933))+~P1(f326(f326(f235(x85931),f2(x85931)),x85934))+~P1(f326(f326(f234(x85931),f326(f326(f80(x85931),x85934),x85932)),f326(f326(f80(x85931),x85934),x85933)))
% 198.08/197.85 [8594]~P137(x85941)+P1(f326(f326(f234(x85941),x85942),x85943))+~P1(f326(f326(f235(x85941),f2(x85941)),x85944))+~P1(f326(f326(f234(x85941),f326(f326(f80(x85941),x85942),x85944)),f326(f326(f80(x85941),x85943),x85944)))
% 198.08/197.85 [8595]~P130(x85951)+P1(f326(f326(f235(x85951),x85952),x85953))+~P1(f326(f326(f235(x85951),f2(x85951)),x85954))+~P1(f326(f326(f235(x85951),f326(f326(f80(x85951),x85954),x85952)),f326(f326(f80(x85951),x85954),x85953)))
% 198.08/197.85 [8596]~P137(x85961)+P1(f326(f326(f235(x85961),x85962),x85963))+~P1(f326(f326(f234(x85961),f2(x85961)),x85964))+~P1(f326(f326(f235(x85961),f326(f326(f80(x85961),x85964),x85962)),f326(f326(f80(x85961),x85964),x85963)))
% 198.08/197.85 [8597]~P133(x85971)+P1(f326(f326(f235(x85971),x85972),x85973))+~P1(f326(f326(f234(x85971),f2(x85971)),x85974))+~P1(f326(f326(f235(x85971),f326(f326(f80(x85971),x85974),x85972)),f326(f326(f80(x85971),x85974),x85973)))
% 198.08/197.85 [8598]~P114(x85981)+~P1(f326(f326(f234(x85981),f2(x85981)),x85983))+P1(f326(f326(f235(x85981),x85982),x85983))+~P1(f326(f326(f235(x85981),f326(f326(f243(x85981),x85982),x85984)),f326(f326(f243(x85981),x85983),x85984)))
% 198.08/197.85 [8599]~P137(x85991)+P1(f326(f326(f235(x85991),x85992),x85993))+~P1(f326(f326(f234(x85991),f2(x85991)),x85994))+~P1(f326(f326(f235(x85991),f326(f326(f80(x85991),x85992),x85994)),f326(f326(f80(x85991),x85993),x85994)))
% 198.08/197.85 [8600]~P133(x86001)+P1(f326(f326(f235(x86001),x86002),x86003))+~P1(f326(f326(f234(x86001),f2(x86001)),x86004))+~P1(f326(f326(f235(x86001),f326(f326(f80(x86001),x86002),x86004)),f326(f326(f80(x86001),x86003),x86004)))
% 198.08/197.85 [8643]P1(f326(f326(f328(x86431),x86432),x86433))+~P1(f326(f326(f234(f939(x86431,a927)),x86433),x86434))+~P1(f326(f326(f235(f939(x86431,a927)),x86433),x86434))+P1(f326(f326(f235(f939(x86431,a927)),x86433),f326(f326(f308(x86431),x86432),x86434)))
% 198.08/197.85 [8676]~P149(x86761)+~P125(x86761)+P1(f326(f326(f286(x86761),x86762),f326(f326(f79(x86761),f867(x86762,x86763,x86761)),f2(x86761))))+~P1(f326(x86763,f326(f326(f80(x86761),x86762),x86764)))
% 198.08/197.85 [9022]E(f326(f326(f3(a1),f439(x90221,x90222,x90223,x90224)),f440(x90221,x90222,x90223,x90224)),x90224)+~P1(f326(f326(f235(a1),f2(a1)),x90223))+~P1(f326(f326(f234(a1),x90221),x90224))+P1(f326(f326(f234(a1),x90221),f326(f326(f79(a1),x90224),x90223)))
% 198.08/197.85 [9023]E(f326(f326(f3(a1),f471(x90231,x90232,x90233,x90234)),f472(x90231,x90232,x90233,x90234)),x90234)+~P1(f326(f326(f235(a1),f2(a1)),x90233))+~P1(f326(f326(f235(a1),x90231),x90234))+P1(f326(f326(f235(a1),x90231),f326(f326(f79(a1),x90234),x90233)))
% 198.08/197.85 [9174]~E(f326(f326(f164(x91741),x91743),f689(x91744,x91743,x91741,x91742)),f326(f326(f164(x91741),x91744),f689(x91744,x91743,x91741,x91742)))+E(f326(f326(f175(x91741),x91742),x91743),f326(f326(f175(x91741),x91742),x91744))+~P1(f326(f326(f234(a931),x91742),f326(f189(f932(x91741)),x91743)))+~P1(f326(f326(f234(a931),x91742),f326(f189(f932(x91741)),x91744)))
% 198.08/197.85 [9237]~P1(f326(f326(f235(a1),f2(a1)),x92373))+~P1(f326(f326(f234(a1),x92371),x92374))+P1(f326(f326(f328(a1),f439(x92371,x92372,x92373,x92374)),x92372))+P1(f326(f326(f234(a1),x92371),f326(f326(f79(a1),x92374),x92373)))
% 198.08/197.85 [9238]~P1(f326(f326(f235(a1),f2(a1)),x92383))+~P1(f326(f326(f235(a1),x92381),x92384))+P1(f326(f326(f328(a1),f471(x92381,x92382,x92383,x92384)),x92382))+P1(f326(f326(f235(a1),x92381),f326(f326(f79(a1),x92384),x92383)))
% 198.08/197.85 [9278]~P105(x92781)+~P1(f326(f61(x92781),x92783))+~P1(f326(f326(f328(x92781),x92784),x92783))+P1(f326(f326(f234(x92781),f326(f326(f64(x92781,x92781,f101(x92781)),x92782),x92783)),f326(f326(f101(x92781),x92784),x92782)))
% 198.08/197.85 [9279]~P111(x92791)+~P1(f326(f61(x92791),x92793))+~P1(f326(f326(f328(x92791),x92794),x92793))+P1(f326(f326(f234(x92791),f326(f326(f64(x92791,x92791,f232(x92791)),x92792),x92793)),f326(f326(f232(x92791),x92794),x92792)))
% 198.08/197.85 [9323]E(f326(f326(f175(x93231),x93232),x93233),f326(f326(f175(x93231),x93232),x93234))+P1(f326(f326(f235(a931),f689(x93233,x93234,x93231,x93232)),x93232))+~P1(f326(f326(f234(a931),x93232),f326(f189(f932(x93231)),x93233)))+~P1(f326(f326(f234(a931),x93232),f326(f189(f932(x93231)),x93234)))
% 198.08/197.85 [9328]~P1(f326(f326(f235(a1),f2(a1)),x93283))+~P1(f326(f326(f234(a1),x93281),x93282))+P1(f326(f326(f328(a1),f440(x93281,x93284,x93283,x93282)),f302(a1,f77(a1),x93283)))+P1(f326(f326(f234(a1),x93281),f326(f326(f79(a1),x93282),x93283)))
% 198.08/197.85 [9329]~P1(f326(f326(f235(a1),f2(a1)),x93293))+~P1(f326(f326(f235(a1),x93291),x93292))+P1(f326(f326(f328(a1),f472(x93291,x93294,x93293,x93292)),f302(a1,f77(a1),x93293)))+P1(f326(f326(f235(a1),x93291),f326(f326(f79(a1),x93292),x93293)))
% 198.08/197.85 [9658]~P104(x96581)+~P1(f326(f61(x96581),x96584))+P1(f326(f326(f328(x96581),f350(x96582,x96583,x96584,x96581)),x96584))+P1(f326(f326(f234(x96581),f326(f326(f64(x96581,x96581,f110(x96581)),x96582),x96584)),f326(f326(f110(x96581),x96583),x96582)))
% 198.08/197.85 [9659]~P111(x96591)+~P1(f326(f61(x96591),x96594))+P1(f326(f326(f328(x96591),f618(x96592,x96593,x96594,x96591)),x96594))+P1(f326(f326(f234(x96591),f326(f326(f64(x96591,x96591,f233(x96591)),x96592),x96594)),f326(f326(f233(x96591),x96593),x96592)))
% 198.08/197.85 [9788]~P104(x97881)+~P1(f326(f61(x97881),x97883))+~P1(f326(f326(f234(x97881),f350(x97882,x97884,x97883,x97881)),x97884))+P1(f326(f326(f234(x97881),f326(f326(f64(x97881,x97881,f110(x97881)),x97882),x97883)),f326(f326(f110(x97881),x97884),x97882)))
% 198.08/197.85 [9789]~P111(x97891)+~P1(f326(f61(x97891),x97893))+~P1(f326(f326(f234(x97891),f618(x97892,x97894,x97893,x97891)),x97894))+P1(f326(f326(f234(x97891),f326(f326(f64(x97891,x97891,f233(x97891)),x97892),x97893)),f326(f326(f233(x97891),x97894),x97892)))
% 198.08/197.85 [9791]~P1(f326(f326(f234(a1),f2(a1)),x97914))+~P1(f326(f326(f235(a1),f2(a1)),x97913))+~P1(f326(f326(f235(a1),x97914),x97911))+P1(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x97911),f45(a1,x97912,x97913))),x97914)),f326(f326(f80(a1),x97911),x97913)))
% 198.08/197.85 [10180]E(x101801,x101802)+P1(f326(f326(f328(f938(f932(x101803),f932(x101803))),f326(f326(f251(f932(x101803),f932(x101803)),x101802),x101801)),f147(x101803,x101804)))+P1(f326(f326(f328(f938(f932(x101803),f932(x101803))),f326(f326(f251(f932(x101803),f932(x101803)),x101801),x101802)),f147(x101803,x101804)))+~P1(f326(f326(f328(f938(x101803,x101803)),f326(f326(f251(x101803,x101803),f658(x101801,x101802,x101804,x101803)),f663(x101801,x101802,x101804,x101803))),x101804))
% 198.08/197.85 [10181]E(x101811,x101812)+P1(f326(f326(f328(f938(f932(x101813),f932(x101813))),f326(f326(f251(f932(x101813),f932(x101813)),x101812),x101811)),f147(x101813,x101814)))+P1(f326(f326(f328(f938(f932(x101813),f932(x101813))),f326(f326(f251(f932(x101813),f932(x101813)),x101811),x101812)),f147(x101813,x101814)))+~P1(f326(f326(f328(f938(x101813,x101813)),f326(f326(f251(x101813,x101813),f663(x101811,x101812,x101814,x101813)),f658(x101811,x101812,x101814,x101813))),x101814))
% 198.08/197.85 [7725]~P104(x77251)+~P1(f326(f326(f234(x77251),x77253),x77254))+~P1(f326(f326(f234(x77251),x77252),x77254))+P1(f326(f326(f234(x77251),f326(f326(f110(x77251),x77252),x77253)),x77254))
% 198.08/197.85 [7728]~P111(x77281)+~P1(f326(f326(f234(x77281),x77283),x77284))+~P1(f326(f326(f234(x77281),x77282),x77284))+P1(f326(f326(f234(x77281),f326(f326(f233(x77281),x77282),x77283)),x77284))
% 198.08/197.85 [7729]~P111(x77291)+~P1(f326(f326(f235(x77291),x77293),x77294))+~P1(f326(f326(f235(x77291),x77292),x77294))+P1(f326(f326(f235(x77291),f326(f326(f233(x77291),x77292),x77293)),x77294))
% 198.08/197.85 [8046]~E(x80461,x80463)+E(f139(a931,f326(f301(a931,x80461),x80462)),f326(f326(f151(a931),x80463),x80464))+~E(f139(a931,f326(f301(a931,f326(f326(f79(a931),x80461),f77(a931))),x80462)),x80464)+~P1(f326(f326(f235(a931),x80461),x80462))
% 198.08/197.85 [8054]~P111(x80541)+P1(f326(f326(f234(x80541),x80542),x80543))+P1(f326(f326(f234(x80541),x80544),x80543))+~P1(f326(f326(f234(x80541),f326(f326(f232(x80541),x80544),x80542)),x80543))
% 198.08/197.85 [8055]~P111(x80551)+P1(f326(f326(f235(x80551),x80552),x80553))+P1(f326(f326(f235(x80551),x80554),x80553))+~P1(f326(f326(f235(x80551),f326(f326(f232(x80551),x80554),x80552)),x80553))
% 198.08/197.85 [8340]~P70(x83401)+~P1(f326(f326(f235(x83401),f2(x83401)),x83403))+~P1(f326(f326(f234(x83401),x83402),f326(f326(f290(x83401),x83404),x83403)))+P1(f326(f326(f234(x83401),f326(f326(f80(x83401),x83402),x83403)),x83404))
% 198.08/197.85 [8341]~P71(x83411)+~P1(f326(f326(f235(x83411),f2(x83411)),x83413))+~P1(f326(f326(f234(x83411),x83412),f326(f326(f290(x83411),x83414),x83413)))+P1(f326(f326(f234(x83411),f326(f326(f80(x83411),x83412),x83413)),x83414))
% 198.08/197.85 [8342]~P70(x83421)+~P1(f326(f326(f235(x83421),f2(x83421)),x83423))+~P1(f326(f326(f234(x83421),x83422),f326(f326(f80(x83421),x83424),x83423)))+P1(f326(f326(f234(x83421),f326(f326(f290(x83421),x83422),x83423)),x83424))
% 198.08/197.85 [8344]~P71(x83441)+~P1(f326(f326(f235(x83441),f2(x83441)),x83443))+~P1(f326(f326(f234(x83441),x83442),f326(f326(f80(x83441),x83444),x83443)))+P1(f326(f326(f234(x83441),f326(f326(f290(x83441),x83442),x83443)),x83444))
% 198.08/197.85 [8345]~P70(x83451)+~P1(f326(f326(f235(x83451),f2(x83451)),x83453))+~P1(f326(f326(f235(x83451),x83452),f326(f326(f290(x83451),x83454),x83453)))+P1(f326(f326(f235(x83451),f326(f326(f80(x83451),x83452),x83453)),x83454))
% 198.08/197.85 [8346]~P71(x83461)+~P1(f326(f326(f235(x83461),f2(x83461)),x83463))+~P1(f326(f326(f235(x83461),x83462),f326(f326(f290(x83461),x83464),x83463)))+P1(f326(f326(f235(x83461),f326(f326(f80(x83461),x83462),x83463)),x83464))
% 198.08/197.85 [8347]~P70(x83471)+~P1(f326(f326(f235(x83471),f2(x83471)),x83473))+~P1(f326(f326(f235(x83471),x83472),f326(f326(f80(x83471),x83474),x83473)))+P1(f326(f326(f235(x83471),f326(f326(f290(x83471),x83472),x83473)),x83474))
% 198.08/197.85 [8349]~P71(x83491)+~P1(f326(f326(f235(x83491),f2(x83491)),x83493))+~P1(f326(f326(f235(x83491),x83492),f326(f326(f80(x83491),x83494),x83493)))+P1(f326(f326(f235(x83491),f326(f326(f290(x83491),x83492),x83493)),x83494))
% 198.08/197.85 [8478]~P70(x84781)+~P1(f326(f326(f235(x84781),f2(x84781)),x84784))+P1(f326(f326(f234(x84781),x84782),f326(f326(f80(x84781),x84783),x84784)))+~P1(f326(f326(f234(x84781),f326(f326(f290(x84781),x84782),x84784)),x84783))
% 198.08/197.85 [8479]~P70(x84791)+~P1(f326(f326(f235(x84791),f2(x84791)),x84794))+P1(f326(f326(f234(x84791),x84792),f326(f326(f290(x84791),x84793),x84794)))+~P1(f326(f326(f234(x84791),f326(f326(f80(x84791),x84792),x84794)),x84793))
% 198.08/197.85 [8481]~P71(x84811)+~P1(f326(f326(f235(x84811),f2(x84811)),x84814))+P1(f326(f326(f234(x84811),x84812),f326(f326(f80(x84811),x84813),x84814)))+~P1(f326(f326(f234(x84811),f326(f326(f290(x84811),x84812),x84814)),x84813))
% 198.08/197.85 [8482]~P71(x84821)+~P1(f326(f326(f235(x84821),f2(x84821)),x84824))+P1(f326(f326(f234(x84821),x84822),f326(f326(f290(x84821),x84823),x84824)))+~P1(f326(f326(f234(x84821),f326(f326(f80(x84821),x84822),x84824)),x84823))
% 198.08/197.85 [8483]~P70(x84831)+~P1(f326(f326(f235(x84831),f2(x84831)),x84834))+P1(f326(f326(f235(x84831),x84832),f326(f326(f80(x84831),x84833),x84834)))+~P1(f326(f326(f235(x84831),f326(f326(f290(x84831),x84832),x84834)),x84833))
% 198.08/197.85 [8484]~P70(x84841)+~P1(f326(f326(f235(x84841),f2(x84841)),x84844))+P1(f326(f326(f235(x84841),x84842),f326(f326(f290(x84841),x84843),x84844)))+~P1(f326(f326(f235(x84841),f326(f326(f80(x84841),x84842),x84844)),x84843))
% 198.08/197.85 [8486]~P71(x84861)+~P1(f326(f326(f235(x84861),f2(x84861)),x84864))+P1(f326(f326(f235(x84861),x84862),f326(f326(f80(x84861),x84863),x84864)))+~P1(f326(f326(f235(x84861),f326(f326(f290(x84861),x84862),x84864)),x84863))
% 198.08/197.85 [8487]~P71(x84871)+~P1(f326(f326(f235(x84871),f2(x84871)),x84874))+P1(f326(f326(f235(x84871),x84872),f326(f326(f290(x84871),x84873),x84874)))+~P1(f326(f326(f235(x84871),f326(f326(f80(x84871),x84872),x84874)),x84873))
% 198.08/197.85 [8647]~P71(x86471)+~P1(f326(f326(f235(x86471),x86473),f2(x86471)))+~P1(f326(f326(f234(x86471),f326(f326(f290(x86471),x86474),x86473)),x86472))+P1(f326(f326(f234(x86471),f326(f326(f80(x86471),x86472),x86473)),x86474))
% 198.08/197.85 [8648]~P71(x86481)+~P1(f326(f326(f235(x86481),x86483),f2(x86481)))+~P1(f326(f326(f234(x86481),f326(f326(f80(x86481),x86484),x86483)),x86482))+P1(f326(f326(f234(x86481),f326(f326(f290(x86481),x86482),x86483)),x86484))
% 198.08/197.85 [8649]~P71(x86491)+~P1(f326(f326(f235(x86491),x86493),f2(x86491)))+~P1(f326(f326(f235(x86491),f326(f326(f290(x86491),x86494),x86493)),x86492))+P1(f326(f326(f235(x86491),f326(f326(f80(x86491),x86492),x86493)),x86494))
% 198.08/197.85 [8650]~P71(x86501)+~P1(f326(f326(f235(x86501),x86503),f2(x86501)))+~P1(f326(f326(f235(x86501),f326(f326(f80(x86501),x86504),x86503)),x86502))+P1(f326(f326(f235(x86501),f326(f326(f290(x86501),x86502),x86503)),x86504))
% 198.08/197.85 [8662]~P1(f326(x86621,x86624))+~P1(f326(f326(f235(a931),x86622),f326(f326(f80(a931),x86623),f326(a112,x86624))))+P1(f326(x86621,f326(f326(f36(a931),x86622),x86623)))+~P1(f326(f326(f234(a931),f326(f326(f80(a931),x86623),x86624)),x86622))
% 198.08/197.85 [8870]~P104(x88701)+~P1(f326(f61(x88701),x88704))+~P1(f326(f326(f328(x88701),x88702),x88704))+P1(f326(f326(f234(x88701),f326(f326(f110(x88701),x88702),x88703)),f326(f326(f64(x88701,x88701,f110(x88701)),x88703),x88704)))
% 198.08/197.85 [8871]~P111(x88711)+~P1(f326(f61(x88711),x88714))+~P1(f326(f326(f328(x88711),x88712),x88714))+P1(f326(f326(f234(x88711),f326(f326(f233(x88711),x88712),x88713)),f326(f326(f64(x88711,x88711,f233(x88711)),x88713),x88714)))
% 198.08/197.85 [9024]~P1(f326(f61(x90241),x90242))+E(f326(f35(x90241),f326(f326(f3(f939(x90241,a927)),x90242),f326(f326(f308(x90241),x90243),x90244))),f326(f326(f3(a931),f326(f35(x90241),f326(f326(f3(f939(x90241,a927)),x90242),x90244))),f77(a931)))+P1(f326(f326(f328(x90241),x90243),x90244))+~P1(f326(f326(f328(x90241),x90243),x90242))
% 198.08/197.85 [9102]E(f326(f326(f79(a1),f465(x91021,x91022,x91023,x91024)),f466(x91021,x91022,x91023,x91024)),x91024)+~P1(f326(f326(f235(a1),f2(a1)),x91023))+~P1(f326(f326(f234(a1),x91024),x91021))+P1(f326(f326(f234(a1),f326(f326(f3(a1),x91024),x91023)),x91021))
% 198.08/197.85 [9103]E(f326(f326(f79(a1),f473(x91031,x91032,x91033,x91034)),f474(x91031,x91032,x91033,x91034)),x91034)+~P1(f326(f326(f235(a1),f2(a1)),x91033))+~P1(f326(f326(f235(a1),x91034),x91031))+P1(f326(f326(f235(a1),f326(f326(f3(a1),x91034),x91033)),x91031))
% 198.08/197.85 [9308]~P1(f326(f326(f235(a1),f2(a1)),x93083))+~P1(f326(f326(f234(a1),x93084),x93081))+P1(f326(f326(f328(a1),f465(x93081,x93082,x93083,x93084)),x93082))+P1(f326(f326(f234(a1),f326(f326(f3(a1),x93084),x93083)),x93081))
% 198.08/197.85 [9309]~P1(f326(f326(f235(a1),f2(a1)),x93093))+~P1(f326(f326(f235(a1),x93094),x93091))+P1(f326(f326(f328(a1),f473(x93091,x93092,x93093,x93094)),x93092))+P1(f326(f326(f235(a1),f326(f326(f3(a1),x93094),x93093)),x93091))
% 198.08/197.85 [9395]~P1(f326(f326(f235(a1),f2(a1)),x93952))+~P1(f326(f326(f234(a1),x93951),x93953))+P1(f326(f326(f328(a1),f466(x93953,x93954,x93952,x93951)),f302(a1,f77(a1),x93952)))+P1(f326(f326(f234(a1),f326(f326(f3(a1),x93951),x93952)),x93953))
% 198.08/197.85 [9396]~P1(f326(f326(f235(a1),f2(a1)),x93962))+~P1(f326(f326(f235(a1),x93961),x93963))+P1(f326(f326(f328(a1),f474(x93963,x93964,x93962,x93961)),f302(a1,f77(a1),x93962)))+P1(f326(f326(f235(a1),f326(f326(f3(a1),x93961),x93962)),x93963))
% 198.08/197.85 [9421]~P1(f326(f326(f234(a1),f2(a1)),x94214))+~P1(f326(f326(f235(a1),f2(a1)),x94213))+~P1(f326(f326(f235(a1),x94214),x94211))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x94211),f45(a1,x94212,x94213))),x94214)))
% 198.08/197.85 [9451]E(x94511,x94512)+~P43(x94513,x94514)+~P1(f326(f326(f328(f938(x94513,x94513)),f326(f326(f251(x94513,x94513),x94512),x94511)),x94514))+~P1(f326(f326(f328(f938(x94513,x94513)),f326(f326(f251(x94513,x94513),x94511),x94512)),x94514))
% 198.08/197.85 [9484]~P105(x94841)+~P1(f326(f61(x94841),x94844))+~P1(f326(f326(f234(x94841),x94842),f349(x94843,x94842,x94844,x94841)))+P1(f326(f326(f234(x94841),f326(f326(f101(x94841),x94842),x94843)),f326(f326(f64(x94841,x94841,f101(x94841)),x94843),x94844)))
% 198.08/197.85 [9485]~P111(x94851)+~P1(f326(f61(x94851),x94854))+~P1(f326(f326(f234(x94851),x94852),f392(x94853,x94852,x94854,x94851)))+P1(f326(f326(f234(x94851),f326(f326(f232(x94851),x94852),x94853)),f326(f326(f64(x94851,x94851,f232(x94851)),x94853),x94854)))
% 198.08/197.85 [9501]~P1(f326(f326(f234(a1),x95014),f2(a1)))+~P1(f326(f326(f235(a1),f2(a1)),x95012))+~P1(f326(f326(f235(a1),x95011),x95014))+P1(f326(f326(f235(a1),f326(f326(f80(a1),x95011),x95012)),f326(f326(f79(a1),f326(f326(f80(a1),x95011),f45(a1,x95013,x95012))),x95014)))
% 198.08/197.85 [9526]P1(f326(f61(x95261),x95262))+~P1(f326(f61(x95261),x95263))+~P1(f326(f326(f328(f939(x95261,a927)),x95262),f326(f326(f60(x95261),x95263),x95264)))+~P1(f326(f326(f234(f939(f938(x95261,x95261),a927)),x95264),f326(f326(f253(x95261,x95261),x95263),f326(f18(f939(x95261,a927),x95261),x95263))))
% 198.08/197.85 [9550]~P105(x95501)+~P1(f326(f61(x95501),x95504))+P1(f326(f326(f328(x95501),f349(x95502,x95503,x95504,x95501)),x95504))+P1(f326(f326(f234(x95501),f326(f326(f101(x95501),x95503),x95502)),f326(f326(f64(x95501,x95501,f101(x95501)),x95502),x95504)))
% 198.08/197.85 [9551]~P111(x95511)+~P1(f326(f61(x95511),x95514))+P1(f326(f326(f328(x95511),f392(x95512,x95513,x95514,x95511)),x95514))+P1(f326(f326(f234(x95511),f326(f326(f232(x95511),x95513),x95512)),f326(f326(f64(x95511,x95511,f232(x95511)),x95512),x95514)))
% 198.08/197.85 [9858]P30(a926,x98581,x98582)+~P30(a926,x98581,f873(x98583,x98584,x98581))+~P1(f326(f326(a941,x98583),x98584))+~P1(f326(f326(f328(f930(a926)),x98582),f326(f326(f308(f930(a926)),f326(f326(f326(f90(a926),f869(x98583,x98584)),a943),f872(x98583,x98584))),f188(f939(f930(a926),a927)))))
% 198.08/197.85 [9872]P30(a926,x98721,x98722)+~P1(f326(f326(a941,x98723),x98724))+P1(f326(f326(f328(f930(a926)),f873(x98723,x98724,x98721)),a942))+~P1(f326(f326(f328(f930(a926)),x98722),f326(f326(f308(f930(a926)),f326(f326(f326(f90(a926),f869(x98723,x98724)),a943),f872(x98723,x98724))),f188(f939(f930(a926),a927)))))
% 198.08/197.85 [9957]~P1(f326(f61(x99572),x99574))+~P1(f326(f61(x99571),x99573))+~P1(f326(f326(f234(a931),f326(f35(x99572),x99574)),f326(f35(x99571),x99573)))+P1(f326(f326(f234(f939(x99571,a927)),f326(f309(x99572,x99571,f525(x99573,x99571,x99574,x99572)),x99574)),x99573))
% 198.08/197.85 [9599]~P1(f326(f326(f328(x95991),x95992),x95994))+P1(f326(f326(f328(x95991),x95992),x95993))+~P1(f326(f326(f235(f939(x95991,a927)),x95994),f326(f326(f308(x95991),x95992),x95993)))+P1(f326(f326(f235(f939(x95991,a927)),f326(f326(f3(f939(x95991,a927)),x95994),f326(f326(f308(x95991),x95992),f188(f939(x95991,a927))))),x95993))
% 198.08/197.85 [9768]~P1(f326(f326(f328(x97681),x97682),x97684))+P1(f326(f326(f328(x97681),x97682),x97683))+P1(f326(f326(f235(f939(x97681,a927)),x97684),f326(f326(f308(x97681),x97682),x97683)))+~P1(f326(f326(f235(f939(x97681,a927)),f326(f326(f3(f939(x97681,a927)),x97684),f326(f326(f308(x97681),x97682),f188(f939(x97681,a927))))),x97683))
% 198.08/197.85 [9794]P1(f326(f326(f328(x97941),x97942),x97943))+~P1(f326(f326(f234(f939(x97941,a927)),x97944),x97943))+P1(f326(f326(f235(f939(x97941,a927)),x97944),f326(f326(f308(x97941),x97942),x97943)))+~P1(f326(f326(f235(f939(x97941,a927)),f326(f326(f3(f939(x97941,a927)),x97944),f326(f326(f308(x97941),x97942),f188(f939(x97941,a927))))),x97943))
% 198.08/197.85 [9799]~P1(f326(f326(f328(x97991),x97993),x97992))+~P1(f326(f326(f235(f939(x97991,a927)),x97992),x97994))+P1(f326(f326(f235(f939(x97991,a927)),x97992),f326(f326(f308(x97991),x97993),x97994)))+~P1(f326(f326(f235(f939(x97991,a927)),f326(f326(f3(f939(x97991,a927)),x97992),f326(f326(f308(x97991),x97993),f188(f939(x97991,a927))))),x97994))
% 198.08/197.85 [9815]~P1(f326(f326(f234(f939(x98151,a927)),x98152),x98154))+~P1(f326(f326(f235(f939(x98151,a927)),x98152),x98154))+P1(f326(f326(f235(f939(x98151,a927)),x98152),f326(f326(f308(x98151),x98153),x98154)))+~P1(f326(f326(f235(f939(x98151,a927)),f326(f326(f3(f939(x98151,a927)),x98152),f326(f326(f308(x98151),x98153),f188(f939(x98151,a927))))),x98154))
% 198.08/197.85 [9861]~P112(x98612)+~P67(x98611)+~P1(f326(f326(f234(f939(x98611,x98612)),x98613),x98614))+P1(f326(f57(x98611),f326(f326(f20(x98611,x98612,a927),f326(f326(f10(x98612,f939(x98612,a927),x98611),f234(x98612)),x98613)),x98614)))
% 198.08/197.85 [10005]~P112(x100052)+~P67(x100051)+P1(f326(f326(f234(f939(x100051,x100052)),x100053),x100054))+~P1(f326(f57(x100051),f326(f326(f20(x100051,x100052,a927),f326(f326(f10(x100052,f939(x100052,a927),x100051),f234(x100052)),x100053)),x100054)))
% 198.08/197.85 [10171]E(f326(f326(f164(x101711),f326(f326(f164(f932(x101711)),f179(x101711,x101712)),x101713)),x101714),f326(f326(f164(x101711),f326(f326(f164(f932(x101711)),x101712),x101714)),x101713))+~P1(f326(f326(f235(a931),x101713),f326(f189(f932(f932(x101711))),f179(x101711,x101712))))+~P15(a931,f326(f168(a931),f326(f326(f154(f932(x101711),a931),f189(f932(x101711))),x101712)))+~P1(f326(f326(f235(a931),x101714),f326(f189(f932(f932(x101711))),f326(f136(f932(x101711),f326(f326(f10(a931,a927,f932(x101711)),f326(f235(a931),x101713)),f189(f932(x101711)))),x101712))))
% 198.08/197.85 [10192]~P1(f326(f326(f328(f938(a931,a931)),x101924),x101921))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x101924),x101922)),a32))+~P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x101921),x101923)),a33))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x101921),f326(f326(f308(f938(a931,a931)),x101922),x101923))),a33))
% 198.08/197.85 [10193]~P1(f326(f326(f328(f938(a931,a931)),x101934),x101931))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x101934),x101932)),a70))+~P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x101931),x101933)),a71))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x101931),f326(f326(f308(f938(a931,a931)),x101932),x101933))),a71))
% 198.08/197.85 [10082]~P112(x100822)+~P67(x100821)+~P1(f326(f326(f235(f939(x100821,x100822)),x100823),x100824))+P1(f326(f56(x100821),f326(f326(f10(a927,a927,x100821),a321),f326(f326(f20(x100821,x100822,a927),f326(f326(f10(x100822,f939(x100822,a927),x100821),a323),x100823)),x100824))))
% 198.08/197.85 [10206]~P1(f326(f326(f328(f938(a931,a931)),x102064),x102063))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x102061),x102064)),a70))+~P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x102062),x102063)),a69))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f326(f326(f308(f938(a931,a931)),x102061),x102062)),x102063)),a69))
% 198.08/197.85 [10207]~P1(f326(f326(f328(f938(a931,a931)),x102074),x102073))+~P1(f326(f326(f328(f938(f938(a931,a931),f938(a931,a931))),f326(f326(f251(f938(a931,a931),f938(a931,a931)),x102071),x102074)),a32))+~P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),x102072),x102073)),a34))+P1(f326(f326(f328(f938(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927))),f326(f326(f251(f939(f938(a931,a931),a927),f939(f938(a931,a931),a927)),f326(f326(f308(f938(a931,a931)),x102071),x102072)),x102073)),a34))
% 198.08/197.85 [6295]~P9(x62954,x62951)+~P1(f326(f326(x62951,x62952),x62955))+P1(f326(f326(x62951,x62952),x62953))+~P1(f326(f326(x62951,x62955),x62953))
% 198.08/197.85 [6296]~P54(x62964,x62961)+~P1(f326(f326(x62961,x62962),x62965))+P1(f326(f326(x62961,x62962),x62963))+~P1(f326(f326(x62961,x62965),x62963))
% 198.08/197.85 [6297]~P17(x62974,x62971)+~P1(f326(f326(x62971,x62972),x62975))+P1(f326(f326(x62971,x62972),x62973))+~P1(f326(f326(x62971,x62975),x62973))
% 198.08/197.85 [9009]~P9(x90094,x90093)+~P1(f326(x90091,x90095))+P1(f326(x90092,f842(x90092,x90091,x90093,x90094)))+P1(f326(x90091,f841(x90092,x90091,x90093,x90094)))
% 198.08/197.85 [9245]~P9(x92454,x92453)+~P1(f326(x92452,x92455))+~P1(f326(x92451,f841(x92451,x92452,x92453,x92454)))+P1(f326(x92451,f842(x92451,x92452,x92453,x92454)))
% 198.08/197.85 [9435]~P9(x94354,x94353)+~P1(f326(x94351,x94355))+P1(f326(f326(f328(x94354),f842(x94352,x94351,x94353,x94354)),f269(x94354,x94353)))+P1(f326(x94351,f841(x94352,x94351,x94353,x94354)))
% 198.08/197.85 [9557]~P9(x95571,x95574)+~P1(f326(x95573,x95575))+~P1(f326(x95572,f841(x95572,x95573,x95574,x95571)))+P1(f326(f326(f328(x95571),f842(x95572,x95573,x95574,x95571)),f269(x95571,x95574)))
% 198.08/197.85 [9849]~P42(x98491,x98494)+P1(f326(f326(f328(f938(f932(x98491),f932(x98491))),f326(f326(f251(f932(x98491),f932(x98491)),x98492),x98493)),f147(x98491,x98494)))+~P1(f326(f326(f328(f938(f932(x98491),f932(x98491))),f326(f326(f251(f932(x98491),f932(x98491)),x98492),x98495)),f147(x98491,x98494)))+~P1(f326(f326(f328(f938(f932(x98491),f932(x98491))),f326(f326(f251(f932(x98491),f932(x98491)),x98495),x98493)),f147(x98491,x98494)))
% 198.08/197.85 [5534]~P72(x55345)+E(x55341,x55342)+~E(x55343,x55344)+~E(f326(f326(f3(x55345),x55343),x55344),f326(f326(f3(x55345),x55341),x55342))
% 198.08/197.85 [6413]~P19(x64135,x64131,x64133)+E(f326(f326(x64131,x64132),f326(x64133,x64134)),f326(x64133,x64134))+~P1(f326(f61(x64135),x64134))+~P1(f326(f326(f328(x64135),x64132),x64134))
% 198.08/197.85 [6601]~P83(x66011)+~E(f326(f326(f3(x66011),x66014),x66015),f326(f326(f3(x66011),x66012),x66013))+~P1(f326(f326(f234(x66011),x66014),x66015))+P1(f326(f326(f234(x66011),x66012),x66013))
% 198.08/197.85 [6603]~P83(x66031)+~E(f326(f326(f3(x66031),x66034),x66035),f326(f326(f3(x66031),x66032),x66033))+~P1(f326(f326(f235(x66031),x66034),x66035))+P1(f326(f326(f235(x66031),x66032),x66033))
% 198.08/197.85 [7582]~E(x75822,f326(f326(f151(x75821),x75824),x75825))+P1(f326(f326(f328(f932(x75821)),x75822),f161(x75821,x75823)))+~P1(f326(f326(f328(f932(x75821)),x75825),f161(x75821,x75823)))+~P1(f326(f326(f328(x75821),x75824),x75823))
% 198.08/197.85 [7995]~E(f326(f189(f932(x79951)),x79953),f326(f189(f932(x79952)),x79954))+~E(f326(f326(f154(f938(x79951,x79952),x79952),f255(x79951,x79952)),x79955),x79954)+~E(f326(f326(f154(f938(x79951,x79952),x79951),f250(x79951,x79952)),x79955),x79953)+E(f326(f326(f181(x79951,x79952),x79953),x79954),x79955)
% 198.08/197.85 [8336]~P112(x83361)+P1(f326(f326(f235(f939(x83361,a927)),f302(x83361,x83362,x83363)),f302(x83361,x83364,x83365)))+~P1(f326(f326(f234(x83361),x83364),x83365))+P1(f326(f326(f234(x83361),x83362),x83363))
% 198.08/197.85 [8436]~P112(x84361)+P1(f326(f326(f234(f939(x84361,a927)),f302(x84361,x84362,x84363)),f302(x84361,x84364,x84365)))+~P1(f326(f326(f234(x84361),x84363),x84365))+~P1(f326(f326(f234(x84361),x84364),x84362))
% 198.08/197.85 [8554]~P111(x85541)+P1(f326(f326(f234(x85541),x85542),x85543))+P1(f326(f326(f234(x85541),x85544),x85543))+~P1(f326(f326(f234(f939(x85541,a927)),f326(f301(x85541,x85543),x85542)),f326(f301(x85541,x85544),x85545)))
% 198.08/197.85 [8555]~P111(x85551)+P1(f326(f326(f234(x85551),x85552),x85553))+P1(f326(f326(f234(x85551),x85552),x85554))+~P1(f326(f326(f234(f939(x85551,a927)),f326(f301(x85551,x85553),x85552)),f326(f301(x85551,x85555),x85554)))
% 198.08/197.85 [8787]~P112(x87871)+~P1(f326(f326(f234(f939(x87871,a927)),f302(x87871,x87874,x87872)),f302(x87871,x87875,x87873)))+P1(f326(f326(f234(x87871),x87872),x87873))+~P1(f326(f326(f234(x87871),x87874),x87872))
% 198.08/197.85 [8788]~P112(x87881)+~P1(f326(f326(f235(f939(x87881,a927)),f302(x87881,x87884,x87882)),f302(x87881,x87885,x87883)))+P1(f326(f326(f234(x87881),x87882),x87883))+~P1(f326(f326(f234(x87881),x87884),x87882))
% 198.08/197.85 [8789]~P112(x87891)+~P1(f326(f326(f234(f939(x87891,a927)),f302(x87891,x87893,x87894)),f302(x87891,x87892,x87895)))+P1(f326(f326(f234(x87891),x87892),x87893))+~P1(f326(f326(f234(x87891),x87893),x87894))
% 198.08/197.85 [8790]~P112(x87901)+~P1(f326(f326(f235(f939(x87901,a927)),f302(x87901,x87903,x87904)),f302(x87901,x87902,x87905)))+P1(f326(f326(f234(x87901),x87902),x87903))+~P1(f326(f326(f234(x87901),x87903),x87904))
% 198.08/197.85 [6294]~P19(x62942,x62945,x62943)+E(x62941,f188(f939(x62942,a927)))+~P1(f326(f61(x62942),x62941))+E(f326(x62943,f326(f326(f308(x62942),x62944),x62941)),f326(f326(x62945,x62944),f326(x62943,x62941)))
% 198.08/197.85 [7071]~E(x70711,x70712)+~E(f326(f326(f101(f939(x70713,a927)),x70714),x70715),f188(f939(x70713,a927)))+~P1(f326(f326(f328(x70713),x70712),x70715))+~P1(f326(f326(f328(x70713),x70711),x70714))
% 198.08/197.85 [7152]~P20(x71522,x71525,x71521)+~P1(f326(f61(x71522),x71524))+E(f326(x71521,f326(f326(f308(x71522),x71523),x71524)),f326(f326(f64(x71522,x71522,x71525),x71523),x71524))+P1(f326(f326(f328(x71522),x71523),x71524))
% 198.08/197.85 [7220]~P79(x72202)+~P1(f326(f61(x72201),x72205))+E(f326(f326(f8(x72201,x72202),x72203),f326(f326(f308(x72201),x72204),x72205)),f326(f326(f79(x72202),f326(x72203,x72204)),f326(f326(f8(x72201,x72202),x72203),x72205)))+P1(f326(f326(f328(x72201),x72204),x72205))
% 198.08/197.85 [7222]~P75(x72222)+~P1(f326(f61(x72221),x72225))+E(f326(f326(f11(x72221,x72222),x72223),f326(f326(f308(x72221),x72224),x72225)),f326(f326(f80(x72222),f326(x72223,x72224)),f326(f326(f11(x72221,x72222),x72223),x72225)))+P1(f326(f326(f328(x72221),x72224),x72225))
% 198.08/197.85 [7633]~P115(x76331)+~P1(f326(f61(x76334),x76335))+~P1(f326(f326(f328(x76334),x76333),x76335))+P1(f326(f326(f286(x76331),f326(x76332,x76333)),f326(f326(f11(x76334,x76331),x76332),x76335)))
% 198.08/197.85 [7738]~P20(x77382,x77385,x77381)+~P1(f326(f61(x77382),x77384))+E(f326(x77381,f326(f326(f308(x77382),x77383),x77384)),x77383)+~E(f326(f326(f3(f939(x77382,a927)),x77384),f326(f326(f308(x77382),x77383),f188(f939(x77382,a927)))),f188(f939(x77382,a927)))
% 198.08/197.85 [8100]~P65(x81001)+E(f326(f326(f36(x81001),f326(f326(f80(x81001),x81002),x81003)),f326(f326(f80(x81001),x81004),x81005)),f326(f326(f80(x81001),f326(f326(f36(x81001),x81002),x81004)),f326(f326(f36(x81001),x81003),x81005)))+~P1(f326(f326(f286(x81001),x81005),x81003))+~P1(f326(f326(f286(x81001),x81004),x81002))
% 198.08/197.85 [8104]~P104(x81041)+~P1(f326(f326(f234(x81041),x81043),x81045))+~P1(f326(f326(f234(x81041),x81042),x81044))+P1(f326(f326(f234(x81041),f326(f326(f110(x81041),x81042),x81043)),f326(f326(f110(x81041),x81044),x81045)))
% 198.08/197.85 [8105]~P88(x81051)+~P1(f326(f326(f234(x81051),x81053),x81055))+~P1(f326(f326(f234(x81051),x81052),x81054))+P1(f326(f326(f234(x81051),f326(f326(f79(x81051),x81052),x81053)),f326(f326(f79(x81051),x81054),x81055)))
% 198.08/197.85 [8106]~P105(x81061)+~P1(f326(f326(f234(x81061),x81063),x81065))+~P1(f326(f326(f234(x81061),x81062),x81064))+P1(f326(f326(f234(x81061),f326(f326(f101(x81061),x81062),x81063)),f326(f326(f101(x81061),x81064),x81065)))
% 198.08/197.85 [8107]~P111(x81071)+~P1(f326(f326(f234(x81071),x81073),x81075))+~P1(f326(f326(f234(x81071),x81072),x81074))+P1(f326(f326(f234(x81071),f326(f326(f232(x81071),x81072),x81073)),f326(f326(f232(x81071),x81074),x81075)))
% 198.08/197.85 [8108]~P111(x81081)+~P1(f326(f326(f234(x81081),x81083),x81085))+~P1(f326(f326(f234(x81081),x81082),x81084))+P1(f326(f326(f234(x81081),f326(f326(f233(x81081),x81082),x81083)),f326(f326(f233(x81081),x81084),x81085)))
% 198.08/197.85 [8109]~P90(x81091)+~P1(f326(f326(f234(x81091),x81093),x81095))+~P1(f326(f326(f235(x81091),x81092),x81094))+P1(f326(f326(f235(x81091),f326(f326(f79(x81091),x81092),x81093)),f326(f326(f79(x81091),x81094),x81095)))
% 198.08/197.85 [8110]~P90(x81101)+~P1(f326(f326(f234(x81101),x81102),x81104))+~P1(f326(f326(f235(x81101),x81103),x81105))+P1(f326(f326(f235(x81101),f326(f326(f79(x81101),x81102),x81103)),f326(f326(f79(x81101),x81104),x81105)))
% 198.08/197.85 [8111]~P90(x81111)+~P1(f326(f326(f235(x81111),x81113),x81115))+~P1(f326(f326(f235(x81111),x81112),x81114))+P1(f326(f326(f235(x81111),f326(f326(f79(x81111),x81112),x81113)),f326(f326(f79(x81111),x81114),x81115)))
% 198.08/197.85 [8112]~P115(x81121)+~P1(f326(f326(f286(x81121),x81123),x81125))+~P1(f326(f326(f286(x81121),x81122),x81124))+P1(f326(f326(f286(x81121),f326(f326(f80(x81121),x81122),x81123)),f326(f326(f80(x81121),x81124),x81125)))
% 198.08/197.85 [8249]~P142(x82495)+E(x82491,x82492)+E(x82493,x82494)+~E(f326(f326(f79(x82495),f326(f326(f80(x82495),x82493),x82491)),f326(f326(f80(x82495),x82494),x82492)),f326(f326(f79(x82495),f326(f326(f80(x82495),x82493),x82492)),f326(f326(f80(x82495),x82494),x82491)))
% 198.08/197.85 [8389]P30(x83891,x83892,x83893)+~P31(x83891,x83894,x83895)+~P30(x83891,x83892,f548(x83895,x83894,x83891,x83892))+~P1(f326(f326(f328(f930(x83891)),x83893),x83895))
% 198.08/197.85 [8456]~P111(x84564)+~P1(f326(f137(x84561),x84563))+P1(f326(f326(f328(x84561),x84562),f326(f172(x84561),x84563)))+P1(f326(f137(x84561),f326(f326(f148(x84561,x84564,x84565),x84562),x84563)))
% 198.08/197.85 [8601]~P72(x86011)+E(f326(f326(f3(x86011),f326(f326(f8(a931,x86011),x86012),f326(f301(a931,x86013),x86014))),f326(f326(f8(a931,x86011),x86012),f326(f301(a931,x86013),x86015))),f326(f326(f8(a931,x86011),x86012),f326(f301(a931,x86015),x86014)))+~P1(f326(f326(f234(a931),x86015),x86014))+~P1(f326(f326(f234(a931),x86013),x86015))
% 198.08/197.85 [8602]~P79(x86021)+E(f326(f326(f79(x86021),f326(f326(f8(a931,x86021),x86022),f326(f301(a931,x86023),x86024))),f326(f326(f8(a931,x86021),x86022),f326(f301(a931,x86024),x86025))),f326(f326(f8(a931,x86021),x86022),f326(f301(a931,x86023),x86025)))+~P1(f326(f326(f234(a931),x86024),x86025))+~P1(f326(f326(f234(a931),x86023),x86024))
% 198.08/197.85 [8930]~P69(x89302)+E(x89301,f2(x89302))+E(x89303,f2(x89302))+E(f326(f326(f290(x89302),f326(f326(f3(x89302),f326(f326(f80(x89302),x89304),x89301)),f326(f326(f80(x89302),x89305),x89303))),f326(f326(f80(x89302),x89303),x89301)),f326(f326(f3(x89302),f326(f326(f290(x89302),x89304),x89303)),f326(f326(f290(x89302),x89305),x89301)))
% 198.08/197.85 [8931]~P69(x89312)+E(x89311,f2(x89312))+E(x89313,f2(x89312))+E(f326(f326(f290(x89312),f326(f326(f79(x89312),f326(f326(f80(x89312),x89314),x89311)),f326(f326(f80(x89312),x89315),x89313))),f326(f326(f80(x89312),x89313),x89311)),f326(f326(f79(x89312),f326(f326(f290(x89312),x89314),x89313)),f326(f326(f290(x89312),x89315),x89311)))
% 198.08/197.85 [8940]~E(x89402,f326(x89403,x89401))+E(x89401,f522(x89402,x89403,x89404,x89405))+~P27(x89405,x89404,x89403,f241(f939(x89405,a927)))+~P1(f326(f326(f328(x89404),x89402),f326(f309(x89405,x89404,x89403),f241(f939(x89405,a927)))))
% 198.08/197.85 [9158]~P122(x91581)+~P1(f326(f326(f235(x91581),f326(f75(x91581),x91582)),x91584))+P1(f326(f326(f235(x91581),f326(f326(f80(x91581),f326(f75(x91581),x91582)),f326(f75(x91581),x91583))),f326(f326(f80(x91581),x91584),x91585)))+~P1(f326(f326(f235(x91581),f326(f75(x91581),x91583)),x91585))
% 198.08/197.85 [9176]~P31(x91761,x91765,x91764)+P30(x91761,x91762,x91763)+P1(f326(f326(f328(f930(x91761)),f548(x91764,x91765,x91761,x91762)),x91765))+~P1(f326(f326(f328(f930(x91761)),x91763),x91764))
% 198.08/197.85 [9270]~P27(x92701,x92703,x92705,x92702)+~P1(f326(f61(x92703),x92704))+P1(f326(f326(f234(a931),f326(f35(x92701),x92702)),f326(f35(x92703),x92704)))+~P1(f326(f326(f234(f939(x92703,a927)),f326(f309(x92701,x92703,x92705),x92702)),x92704))
% 198.08/197.85 [9337]~P79(x93372)+~P27(x93371,x93371,x93374,x93375)+~P1(f326(f61(x93371),x93375))+E(f326(f326(f8(x93371,x93372),f326(f72(x93371,x93372,x93371,x93373),x93374)),x93375),f326(f326(f8(x93371,x93372),x93373),f326(f309(x93371,x93371,x93374),x93375)))
% 198.08/197.85 [9338]~P75(x93382)+~P27(x93381,x93381,x93384,x93385)+~P1(f326(f61(x93381),x93385))+E(f326(f326(f11(x93381,x93382),f326(f72(x93381,x93382,x93381,x93383),x93384)),x93385),f326(f326(f11(x93381,x93382),x93383),f326(f309(x93381,x93381,x93384),x93385)))
% 198.08/197.85 [9464]~P41(x94641,x94642)+~P1(f326(f326(f328(x94641),x94643),x94644))+~P1(f326(f326(f328(x94641),x94645),x94644))+~P1(f326(f326(f328(f938(x94641,x94641)),f326(f326(f251(x94641,x94641),x94645),f613(x94642,x94641,x94644))),x94642))
% 198.08/197.85 [9500]~P27(x95002,x95003,x95005,x95001)+E(x95001,f188(f939(x95002,a927)))+E(f326(f309(x95003,x95002,f524(x95004,x95003,x95002,x95001)),x95004),x95001)+~P1(f326(f326(f234(f939(x95003,a927)),f326(f309(x95002,x95003,x95005),x95001)),x95004))
% 198.08/197.85 [9986]~P111(x99865)+~P7(x99865)+P1(f326(f326(f328(x99861),f480(x99862,x99863,x99861,x99864,x99865)),x99863))+~P1(f326(f326(f235(x99865),x99864),f326(f326(f40(x99861,x99865),x99863),x99862)))
% 198.08/197.85 [9991]~P111(x99911)+~P7(x99911)+P1(f326(f326(f235(x99911),x99912),f326(x99913,f480(x99913,x99914,x99915,x99912,x99911))))+~P1(f326(f326(f235(x99911),x99912),f326(f326(f40(x99915,x99911),x99914),x99913)))
% 198.08/197.85 [10069]~P73(x100691)+~P1(f326(f66(x100691,x100691,f80(x100691),x100692,x100693),x100695))+P1(f326(f326(f328(x100691),x100692),x100693))+P1(f326(f66(x100691,x100691,f80(x100691),x100694,f326(f326(f308(x100691),x100692),x100693)),f326(f326(f80(x100691),x100694),x100695)))
% 198.08/197.85 [10284]~P79(x102842)+~P1(f326(f61(x102841),x102845))+E(f326(f326(f8(x102841,x102842),f326(f326(f9(x102841,x102842,x102842),f326(f326(f20(x102841,x102842,f939(x102842,x102842)),f326(f326(f10(a927,f939(x102842,f939(x102842,x102842)),x102841),f96(x102842)),f326(a323,x102843))),x102844)),f2(x102842))),x102845),f2(x102842))+P1(f326(f326(f328(x102841),x102843),x102845))
% 198.08/197.85 [10285]~P75(x102852)+~P1(f326(f61(x102851),x102855))+E(f326(f326(f11(x102851,x102852),f326(f326(f9(x102851,x102852,x102852),f326(f326(f20(x102851,x102852,f939(x102852,x102852)),f326(f326(f10(a927,f939(x102852,f939(x102852,x102852)),x102851),f96(x102852)),f326(a323,x102853))),x102854)),f77(x102852))),x102855),f77(x102852))+P1(f326(f326(f328(x102851),x102853),x102855))
% 198.08/197.85 [10286]~P79(x102862)+~P1(f326(f61(x102861),x102865))+E(f326(f326(f8(x102861,x102862),f326(f326(f9(x102861,x102862,x102862),f326(f326(f20(x102861,x102862,f939(x102862,x102862)),f326(f326(f10(a927,f939(x102862,f939(x102862,x102862)),x102861),f96(x102862)),f326(a323,x102863))),x102864)),f2(x102862))),x102865),f326(x102864,x102863))+~P1(f326(f326(f328(x102861),x102863),x102865))
% 198.08/197.85 [10287]~P75(x102872)+~P1(f326(f61(x102871),x102875))+E(f326(f326(f11(x102871,x102872),f326(f326(f9(x102871,x102872,x102872),f326(f326(f20(x102871,x102872,f939(x102872,x102872)),f326(f326(f10(a927,f939(x102872,f939(x102872,x102872)),x102871),f96(x102872)),f326(a323,x102873))),x102874)),f77(x102872))),x102875),f326(x102874,x102873))+~P1(f326(f326(f328(x102871),x102873),x102875))
% 198.08/197.85 [10344]~P79(x103442)+~P1(f326(f61(x103441),x103445))+E(f326(f326(f8(x103441,x103442),f326(f326(f9(x103441,x103442,x103442),f326(f326(f20(x103441,x103442,f939(x103442,x103442)),f326(f326(f10(a927,f939(x103442,f939(x103442,x103442)),x103441),f96(x103442)),f326(f326(f9(x103441,x103441,a927),a323),x103443))),x103444)),f2(x103442))),x103445),f2(x103442))+P1(f326(f326(f328(x103441),x103443),x103445))
% 198.08/197.85 [10345]~P75(x103452)+~P1(f326(f61(x103451),x103455))+E(f326(f326(f11(x103451,x103452),f326(f326(f9(x103451,x103452,x103452),f326(f326(f20(x103451,x103452,f939(x103452,x103452)),f326(f326(f10(a927,f939(x103452,f939(x103452,x103452)),x103451),f96(x103452)),f326(f326(f9(x103451,x103451,a927),a323),x103453))),x103454)),f77(x103452))),x103455),f77(x103452))+P1(f326(f326(f328(x103451),x103453),x103455))
% 198.08/197.85 [10347]~P79(x103472)+~P1(f326(f61(x103471),x103475))+E(f326(f326(f8(x103471,x103472),f326(f326(f9(x103471,x103472,x103472),f326(f326(f20(x103471,x103472,f939(x103472,x103472)),f326(f326(f10(a927,f939(x103472,f939(x103472,x103472)),x103471),f96(x103472)),f326(f326(f9(x103471,x103471,a927),a323),x103473))),x103474)),f2(x103472))),x103475),f326(x103474,x103473))+~P1(f326(f326(f328(x103471),x103473),x103475))
% 198.08/197.85 [10348]~P75(x103482)+~P1(f326(f61(x103481),x103485))+E(f326(f326(f11(x103481,x103482),f326(f326(f9(x103481,x103482,x103482),f326(f326(f20(x103481,x103482,f939(x103482,x103482)),f326(f326(f10(a927,f939(x103482,f939(x103482,x103482)),x103481),f96(x103482)),f326(f326(f9(x103481,x103481,a927),a323),x103483))),x103484)),f77(x103482))),x103485),f326(x103484,x103483))+~P1(f326(f326(f328(x103481),x103483),x103485))
% 198.08/197.85 [8103]~P72(x81032)+~P1(f326(f61(x81031),x81034))+E(f326(f326(f8(x81031,x81032),x81033),f326(f326(f3(f939(x81031,a927)),x81034),f326(f326(f308(x81031),x81035),f188(f939(x81031,a927))))),f326(f326(f8(x81031,x81032),x81033),x81034))+P1(f326(f326(f328(x81031),x81035),x81034))
% 198.08/197.85 [8609]~P113(x86092)+~P1(f326(f61(x86091),x86094))+E(f326(f326(f8(x86091,x86092),x86093),f326(f326(f3(f939(x86091,a927)),x86094),f326(f326(f308(x86091),x86095),f188(f939(x86091,a927))))),f326(f326(f3(x86092),f326(f326(f8(x86091,x86092),x86093),x86094)),f326(x86093,x86095)))+~P1(f326(f326(f328(x86091),x86095),x86094))
% 198.08/197.85 [8610]~P72(x86102)+~P1(f326(f61(x86101),x86104))+E(f326(f326(f8(x86101,x86102),x86103),f326(f326(f3(f939(x86101,a927)),x86104),f326(f326(f308(x86101),x86105),f188(f939(x86101,a927))))),f326(f326(f3(x86102),f326(f326(f8(x86101,x86102),x86103),x86104)),f326(x86103,x86105)))+~P1(f326(f326(f328(x86101),x86105),x86104))
% 198.08/197.85 [8639]~P72(x86391)+~P1(f326(f61(x86392),x86394))+E(f326(f326(f3(x86391),f326(f326(f8(x86392,x86391),x86393),x86394)),f326(f326(f8(x86392,x86391),x86393),x86395)),f326(f326(f8(x86392,x86391),x86393),f326(f326(f3(f939(x86392,a927)),x86394),x86395)))+~P1(f326(f326(f234(f939(x86392,a927)),x86395),x86394))
% 198.08/197.85 [8659]P1(f326(f61(x86591),f326(x86592,x86593)))+~P1(f326(f61(x86594),x86595))+~P1(f326(f326(f328(x86594),x86593),x86595))+~P1(f326(f61(x86591),f326(f326(f40(x86594,f939(x86591,a927)),x86595),x86592)))
% 198.08/197.85 [9114]~P10(x91141,x91145,x91144)+~E(f326(f284(x91141,x91141,x91144),f326(f326(f308(x91141),x91142),f188(f939(x91141,a927)))),f326(f284(x91141,x91141,x91144),f326(f326(f308(x91141),x91143),f188(f939(x91141,a927)))))+~P1(f326(f326(f328(x91141),x91143),x91145))+P1(f326(f326(f328(f938(x91141,x91141)),f326(f326(f251(x91141,x91141),x91142),x91143)),x91144))
% 198.08/197.85 [9419]~P1(f326(x94191,x94195))+P1(f326(x94191,f431(x94191,x94192,x94193,x94194)))+P1(f326(x94191,f422(x94191,x94192,x94193,x94194)))+~P1(f326(f326(f328(x94194),x94195),f326(f326(f110(f939(x94194,a927)),x94193),x94192)))
% 198.08/197.85 [9604]~P1(f326(x96041,x96045))+P1(f326(x96041,f422(x96041,x96042,x96043,x96044)))+P1(f326(f326(f328(x96044),f431(x96041,x96042,x96043,x96044)),x96042))+~P1(f326(f326(f328(x96044),x96045),f326(f326(f110(f939(x96044,a927)),x96043),x96042)))
% 198.08/197.85 [9605]~P1(f326(x96051,x96055))+P1(f326(x96051,f431(x96051,x96052,x96053,x96054)))+P1(f326(f326(f328(x96054),f422(x96051,x96052,x96053,x96054)),x96053))+~P1(f326(f326(f328(x96054),x96055),f326(f326(f110(f939(x96054,a927)),x96053),x96052)))
% 198.08/197.85 [9609]P1(f326(x96091,x96092))+~P1(f326(x96091,f477(x96091,x96093,x96094,x96095)))+~P1(f326(x96091,f469(x96091,x96093,x96094,x96095)))+~P1(f326(f326(f328(x96095),x96092),f326(f326(f110(f939(x96095,a927)),x96094),x96093)))
% 198.08/197.85 [9614]~P42(x96141,x96144)+~P1(f326(f326(f328(f938(x96141,x96141)),f326(f326(f251(x96141,x96141),x96142),x96145)),x96144))+P1(f326(f326(f328(f938(x96141,x96141)),f326(f326(f251(x96141,x96141),x96142),x96143)),x96144))+~P1(f326(f326(f328(f938(x96141,x96141)),f326(f326(f251(x96141,x96141),x96145),x96143)),x96144))
% 198.08/197.85 [9653]E(x96531,x96532)+~P1(f326(f326(f328(f938(x96533,x96533)),f326(f326(f251(x96533,x96533),x96531),x96532)),f306(x96533,x96535)))+P1(f326(f326(f328(x96533),x96531),x96534))+~P1(f326(f326(f234(f939(f938(x96533,x96533),a927)),x96535),f326(f326(f253(x96533,x96533),x96534),f326(f18(f939(x96533,a927),x96533),x96534))))
% 198.08/197.85 [9671]P1(f326(x96711,x96712))+~P1(f326(x96711,f469(x96711,x96714,x96715,x96713)))+P1(f326(f326(f328(x96713),f477(x96711,x96714,x96715,x96713)),x96714))+~P1(f326(f326(f328(x96713),x96712),f326(f326(f110(f939(x96713,a927)),x96715),x96714)))
% 198.08/197.85 [9672]P1(f326(x96721,x96722))+~P1(f326(x96721,f477(x96721,x96724,x96725,x96723)))+P1(f326(f326(f328(x96723),f469(x96721,x96724,x96725,x96723)),x96725))+~P1(f326(f326(f328(x96723),x96722),f326(f326(f110(f939(x96723,a927)),x96725),x96724)))
% 198.08/197.85 [9740]P1(f326(x97401,x97402))+P1(f326(f326(f328(x97403),f477(x97401,x97404,x97405,x97403)),x97404))+P1(f326(f326(f328(x97403),f469(x97401,x97404,x97405,x97403)),x97405))+~P1(f326(f326(f328(x97403),x97402),f326(f326(f110(f939(x97403,a927)),x97405),x97404)))
% 198.08/197.85 [9742]~P1(f326(x97422,x97425))+P1(f326(f326(f328(x97421),f431(x97422,x97423,x97424,x97421)),x97423))+P1(f326(f326(f328(x97421),f422(x97422,x97423,x97424,x97421)),x97424))+~P1(f326(f326(f328(x97421),x97425),f326(f326(f110(f939(x97421,a927)),x97424),x97423)))
% 198.08/197.85 [9893]~P10(x98931,x98935,x98934)+~P1(f326(f326(f328(x98931),x98933),x98935))+P1(f326(f326(f328(f938(x98931,x98931)),f326(f326(f251(x98931,x98931),x98932),x98933)),x98934))+~P1(f326(f326(f234(f939(x98931,a927)),f326(f284(x98931,x98931,x98934),f326(f326(f308(x98931),x98933),f188(f939(x98931,a927))))),f326(f284(x98931,x98931,x98934),f326(f326(f308(x98931),x98932),f188(f939(x98931,a927))))))
% 198.08/197.85 [10020]~P111(x100205)+~P7(x100205)+P1(f326(f326(f328(x100201),f434(x100202,x100203,x100204,x100201,x100205)),x100204))+~P1(f326(f326(f235(x100205),f326(f326(f39(x100201,x100205),x100204),x100203)),x100202))
% 198.08/197.85 [10052]~P88(x100525)+~P86(x100525)+P1(f326(f326(f328(x100521),f707(x100522,x100523,x100524,x100521,x100525)),f326(f172(x100521),x100524)))+P1(f326(f326(f234(x100525),f326(f165(x100525),f326(f326(f154(x100521,x100525),x100523),x100524))),f326(f165(x100525),f326(f326(f154(x100521,x100525),x100522),x100524))))
% 198.08/197.85 [10161]~P111(x101611)+~P7(x101611)+P1(f326(f326(f235(x101611),f326(x101612,f434(x101613,x101612,x101614,x101615,x101611))),x101613))+~P1(f326(f326(f235(x101611),f326(f326(f39(x101615,x101611),x101614),x101612)),x101613))
% 198.08/197.85 [10302]~P88(x103021)+~P86(x103021)+~P1(f326(f326(f234(x103021),f326(x103023,f707(x103025,x103023,x103024,x103022,x103021))),f326(x103025,f707(x103025,x103023,x103024,x103022,x103021))))+P1(f326(f326(f234(x103021),f326(f165(x103021),f326(f326(f154(x103022,x103021),x103023),x103024))),f326(f165(x103021),f326(f326(f154(x103022,x103021),x103025),x103024))))
% 198.08/197.85 [8953]~P79(x89531)+~P1(f326(f61(x89534),x89535))+~P1(f326(f326(f328(x89534),x89533),x89535))+E(f326(f326(f79(x89531),f326(x89532,x89533)),f326(f326(f8(x89534,x89531),x89532),f326(f326(f3(f939(x89534,a927)),x89535),f326(f326(f308(x89534),x89533),f188(f939(x89534,a927)))))),f326(f326(f8(x89534,x89531),x89532),x89535))
% 198.08/197.85 [8954]~P75(x89541)+~P1(f326(f61(x89544),x89545))+~P1(f326(f326(f328(x89544),x89543),x89545))+E(f326(f326(f80(x89541),f326(x89542,x89543)),f326(f326(f11(x89544,x89541),x89542),f326(f326(f3(f939(x89544,a927)),x89545),f326(f326(f308(x89544),x89543),f188(f939(x89544,a927)))))),f326(f326(f11(x89544,x89541),x89542),x89545))
% 198.08/197.85 [9014]~P20(x90141,x90144,x90145)+~P1(f326(f61(x90141),x90142))+E(f326(f326(f3(f939(x90141,a927)),x90142),f326(f326(f308(x90141),x90143),f188(f939(x90141,a927)))),f188(f939(x90141,a927)))+E(f326(f326(x90144,x90143),f326(x90145,f326(f326(f3(f939(x90141,a927)),x90142),f326(f326(f308(x90141),x90143),f188(f939(x90141,a927)))))),f326(x90145,f326(f326(f308(x90141),x90143),x90142)))
% 198.08/197.85 [9391]~P75(x93911)+~P1(f326(f61(x93912),x93915))+~P1(f326(f61(x93912),x93914))+E(f326(f326(f80(x93911),f326(f326(f11(x93912,x93911),x93913),f326(f326(f110(f939(x93912,a927)),x93914),x93915))),f326(f326(f11(x93912,x93911),x93913),f326(f326(f101(f939(x93912,a927)),x93914),x93915))),f326(f326(f80(x93911),f326(f326(f11(x93912,x93911),x93913),x93914)),f326(f326(f11(x93912,x93911),x93913),x93915)))
% 198.08/197.85 [9392]~P79(x93921)+~P1(f326(f61(x93922),x93925))+~P1(f326(f61(x93922),x93924))+E(f326(f326(f79(x93921),f326(f326(f8(x93922,x93921),x93923),f326(f326(f110(f939(x93922,a927)),x93924),x93925))),f326(f326(f8(x93922,x93921),x93923),f326(f326(f101(f939(x93922,a927)),x93924),x93925))),f326(f326(f79(x93921),f326(f326(f8(x93922,x93921),x93923),x93924)),f326(f326(f8(x93922,x93921),x93923),x93925)))
% 198.08/197.85 [9539]~P72(x95391)+~P1(f326(f61(x95392),x95395))+~P1(f326(f61(x95392),x95394))+E(f326(f326(f3(x95391),f326(f326(f79(x95391),f326(f326(f8(x95392,x95391),x95393),x95394)),f326(f326(f8(x95392,x95391),x95393),x95395))),f326(f326(f8(x95392,x95391),x95393),f326(f326(f101(f939(x95392,a927)),x95394),x95395))),f326(f326(f8(x95392,x95391),x95393),f326(f326(f110(f939(x95392,a927)),x95394),x95395)))
% 198.08/197.85 [9752]~P27(x97521,x97522,x97523,x97525)+~P27(x97521,x97522,x97523,x97524)+P27(x97521,x97522,x97523,f326(f326(f110(f939(x97521,a927)),x97524),x97525))+~E(f326(f326(f101(f939(x97522,a927)),f326(f309(x97521,x97522,x97523),f326(f326(f3(f939(x97521,a927)),x97524),x97525))),f326(f309(x97521,x97522,x97523),f326(f326(f3(f939(x97521,a927)),x97525),x97524))),f188(f939(x97522,a927)))
% 198.08/197.85 [9867]E(x98671,f2(a1))+~P1(f326(f326(f235(a1),f2(a1)),x98673))+~P1(f326(f49(x98672,x98671),f326(f326(f251(a1,a1),x98674),x98675)))+P1(f326(f49(x98672,f326(f326(f80(a1),x98671),x98673)),f326(f326(f251(a1,a1),f326(f326(f36(a1),x98674),x98673)),f326(f326(f79(a1),f326(f326(f80(a1),x98671),f45(a1,x98674,x98673))),x98675))))
% 198.08/197.85 [9876]~P1(f326(f326(f235(a931),f2(a931)),x98763))+~P1(f326(f326(f235(a931),f2(a931)),x98762))+~P1(f326(f48(x98761,x98762),f326(f326(f251(a931,a931),x98764),x98765)))+P1(f326(f48(x98761,f326(f326(f80(a931),x98762),x98763)),f326(f326(f251(a931,a931),f326(f326(f36(a931),x98764),x98763)),f326(f326(f79(a931),f326(f326(f80(a931),x98762),f45(a931,x98764,x98763))),x98765))))
% 198.08/197.85 [9925]~P75(x99251)+~P1(f326(f61(x99252),x99255))+~P1(f326(f61(x99252),x99254))+E(f326(f326(f80(x99251),f326(f326(f326(f65(x99251,x99252,f80(x99251)),x99253),f77(x99251)),f326(f326(f110(f939(x99252,a927)),x99254),x99255))),f326(f326(f326(f65(x99251,x99252,f80(x99251)),x99253),f77(x99251)),f326(f326(f101(f939(x99252,a927)),x99254),x99255))),f326(f326(f80(x99251),f326(f326(f326(f65(x99251,x99252,f80(x99251)),x99253),f77(x99251)),x99254)),f326(f326(f326(f65(x99251,x99252,f80(x99251)),x99253),f77(x99251)),x99255)))
% 198.08/197.85 [9927]~E(f326(f326(f175(x99271),x99275),x99272),f326(f326(f175(x99271),x99275),x99273))+P1(f326(f326(f328(f938(f932(x99271),f932(x99271))),f326(f326(f251(f932(x99271),f932(x99271)),x99272),x99273)),f147(x99271,x99274)))+~P1(f326(f326(f235(a931),x99275),f326(f326(f232(a931),f326(f189(f932(x99271)),x99272)),f326(f189(f932(x99271)),x99273))))+~P1(f326(f326(f328(f938(x99271,x99271)),f326(f326(f251(x99271,x99271),f326(f326(f164(x99271),x99272),x99275)),f326(f326(f164(x99271),x99273),x99275))),x99274))
% 198.08/197.85 [10041]~P88(x100415)+~P148(x100415)+P1(f326(f326(f328(x100411),f341(x100412,x100413,x100414,x100411,x100415)),x100414))+P1(f326(f326(f234(x100415),f326(f326(f8(x100411,x100415),x100413),x100414)),f326(f326(f80(x100415),f326(f100(x100415),f326(f35(x100411),x100414))),x100412)))
% 198.08/197.85 [10220]~P88(x102201)+~P148(x102201)+~P1(f326(f326(f234(x102201),f326(x102203,f341(x102205,x102203,x102204,x102202,x102201))),x102205))+P1(f326(f326(f234(x102201),f326(f326(f8(x102202,x102201),x102203),x102204)),f326(f326(f80(x102201),f326(f100(x102201),f326(f35(x102202),x102204))),x102205)))
% 198.08/197.85 [8982]E(f326(f326(f134(x89821),x89822),x89823),f326(f326(f134(x89821),x89824),x89825))+~E(f326(f326(f175(x89821),f326(f189(f932(x89821)),x89822)),x89824),x89822)+~E(f326(f326(f134(x89821),f326(f326(f138(x89821),f326(f189(f932(x89821)),x89822)),x89824)),x89825),x89823)+P1(f326(f326(f234(a931),f326(f189(f932(x89821)),x89824)),f326(f189(f932(x89821)),x89822)))
% 198.08/197.85 [9113]E(f326(f326(f134(x91131),x91132),x91133),f326(f326(f134(x91131),x91134),x91135))+~E(f326(f326(f175(x91131),f326(f189(f932(x91131)),x91132)),x91134),x91132)+~E(x91133,f326(f326(f134(x91131),f326(f326(f138(x91131),f326(f189(f932(x91131)),x91132)),x91134)),x91135))+~P1(f326(f326(f234(a931),f326(f189(f932(x91131)),x91132)),f326(f189(f932(x91131)),x91134)))
% 198.08/197.85 [10367]~P1(f326(x103675,x103674))+~P1(f326(f61(x103672),f326(f261(x103672),x103675)))+P1(f326(f61(x103671),f326(f261(x103671),f326(f326(f9(x103671,x103672,a927),x103673),x103674))))+~P1(f326(f61(x103671),f326(f261(x103671),f326(f326(f10(f939(x103672,a927),a927,x103671),f86(x103672)),f326(f326(f10(f939(x103672,a927),f939(x103672,a927),x103671),f326(f20(x103672,a927,a927),f326(f326(f10(a927,f939(a927,a927),x103672),a324),x103675))),x103673)))))
% 198.08/197.85 [10440]~P1(f326(f61(x104402),x104405))+~P1(f326(f326(f328(x104402),x104404),x104405))+P1(f326(f61(x104401),f326(f261(x104401),f326(f326(f9(x104401,x104402,a927),x104403),x104404))))+~P1(f326(f61(x104401),f326(f261(x104401),f326(f326(f10(f939(x104402,a927),a927,x104401),f86(x104402)),f326(f326(f10(f939(x104402,a927),f939(x104402,a927),x104401),f326(f20(x104402,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104402),a324),f326(f326(f9(x104402,f939(x104402,a927),a927),f328(x104402)),x104405)))),x104403)))))
% 198.08/197.85 [8253]~P45(x82532,x82533,x82534,x82536)+~P45(f29(x82531,x82532),x82536,x82534,x82535)+P45(f29(x82531,x82532),x82533,x82534,x82535)+~P1(f326(x82531,x82533))
% 198.08/197.85 [8768]~P21(x87685,x87681,x87686,x87682)+E(f326(f72(x87681,x87681,x87681,f326(x87682,x87683)),f326(x87682,x87684)),f326(f72(x87681,x87681,x87681,f326(x87682,x87684)),f326(x87682,x87683)))+~P1(f326(f61(x87685),x87684))+~P1(f326(f61(x87685),x87683))
% 198.08/197.85 [8159]~P27(x81591,x81592,x81594,x81593)+~E(f326(x81594,x81596),x81595)+E(f326(f76(x81591,x81592,x81593,x81594),x81595),x81596)+~P1(f326(f326(f328(x81591),x81596),x81593))
% 198.08/197.85 [8160]~P27(x81601,x81602,x81604,x81603)+~E(f326(x81604,x81606),x81605)+E(f326(f91(x81601,x81602,x81603,x81604),x81605),x81606)+~P1(f326(f326(f328(x81601),x81606),x81603))
% 198.08/197.85 [8358]~P22(x83586,x83581,x83584,x83582)+E(f326(f72(x83581,x83581,x83581,f326(x83582,x83583)),f326(x83584,x83585)),f326(x83582,x83583))+~P1(f326(f61(x83586),x83583))+~P1(f326(f326(f328(x83586),x83585),x83583))
% 198.08/197.85 [9492]E(x94921,x94922)+~E(f326(f91(x94923,x94924,x94925,x94926),x94921),f326(f91(x94923,x94924,x94925,x94926),x94922))+~P1(f326(f326(f328(x94924),x94922),f326(f309(x94923,x94924,x94926),x94925)))+~P1(f326(f326(f328(x94924),x94921),f326(f309(x94923,x94924,x94926),x94925)))
% 198.08/197.85 [9588]~P21(x95883,x95881,x95886,x95882)+E(f326(f72(x95881,x95881,x95881,f326(x95882,f326(f326(f3(f939(x95883,a927)),x95884),f326(f326(f308(x95883),x95885),f188(f939(x95883,a927)))))),f326(x95886,x95885)),f326(x95882,x95884))+~P1(f326(f61(x95883),x95884))+~P1(f326(f326(f328(x95883),x95885),x95884))
% 198.08/197.85 [7225]~P66(x72251)+~E(f45(x72251,x72253,x72254),f45(x72251,x72256,x72254))+~E(f45(x72251,x72252,x72254),f45(x72251,x72255,x72254))+E(f45(x72251,f326(f326(f3(x72251),x72252),x72253),x72254),f45(x72251,f326(f326(f3(x72251),x72255),x72256),x72254))
% 198.08/197.85 [7226]~P65(x72261)+~E(f45(x72261,x72263,x72264),f45(x72261,x72266,x72264))+~E(f45(x72261,x72262,x72264),f45(x72261,x72265,x72264))+E(f45(x72261,f326(f326(f80(x72261),x72262),x72263),x72264),f45(x72261,f326(f326(f80(x72261),x72265),x72266),x72264))
% 198.08/197.85 [7227]~P65(x72271)+~E(f45(x72271,x72273,x72274),f45(x72271,x72276,x72274))+~E(f45(x72271,x72272,x72274),f45(x72271,x72275,x72274))+E(f45(x72271,f326(f326(f79(x72271),x72272),x72273),x72274),f45(x72271,f326(f326(f79(x72271),x72275),x72276),x72274))
% 198.08/197.85 [8049]~P18(x80491,x80492,x80493)+~P1(f326(f61(x80491),x80496))+E(f326(f326(f64(x80491,x80492,x80493),x80494),f326(f326(f308(x80491),x80495),x80496)),f326(f326(f64(x80491,x80492,x80493),f326(f326(x80493,x80495),x80494)),x80496))+P1(f326(f326(f328(x80491),x80495),x80496))
% 198.08/197.85 [8118]~P7(x81181)+P1(f326(f326(f234(x81181),x81182),f326(x81183,x81184)))+~P1(f326(f326(f328(x81185),x81184),x81186))+~P1(f326(f326(f234(x81181),x81182),f326(f326(f39(x81185,x81181),x81186),x81183)))
% 198.08/197.85 [8279]~P18(x82791,x82792,x82793)+~P1(f326(f61(x82791),x82796))+E(f326(f326(f64(x82791,x82792,x82793),x82794),f326(f326(f308(x82791),x82795),x82796)),f326(f326(x82793,x82795),f326(f326(f64(x82791,x82792,x82793),x82794),x82796)))+P1(f326(f326(f328(x82791),x82795),x82796))
% 198.08/197.85 [8375]~P111(x83753)+~P1(f326(x83752,x83755))+~P15(x83753,f326(f326(f154(x83751,x83753),x83754),x83756))+E(f326(f136(x83751,x83752),f326(f326(f148(x83751,x83753,x83754),x83755),x83756)),f326(f326(f148(x83751,x83753,x83754),x83755),f326(f136(x83751,x83752),x83756)))
% 198.08/197.85 [8400]E(x84001,x84002)+E(x84003,f2(a1))+~P1(f326(f49(x84004,x84003),f326(f326(f251(a1,a1),x84005),x84002)))+~P1(f326(f49(x84004,x84003),f326(f326(f251(a1,a1),x84006),x84001)))
% 198.08/197.85 [8401]E(x84011,x84012)+E(x84013,f2(a1))+~P1(f326(f49(x84014,x84013),f326(f326(f251(a1,a1),x84012),x84015)))+~P1(f326(f49(x84014,x84013),f326(f326(f251(a1,a1),x84011),x84016)))
% 198.08/197.85 [8422]~P21(x84222,x84225,x84226,x84221)+~P1(f326(f61(x84222),x84224))+E(f326(x84221,f326(f326(f308(x84222),x84223),x84224)),f326(f72(x84225,x84225,x84225,f326(x84221,x84224)),f326(x84226,x84223)))+P1(f326(f326(f328(x84222),x84223),x84224))
% 198.08/197.85 [8642]~P22(x86425,x86421,x86426,x86422)+E(f326(f72(x86421,x86421,x86421,f326(x86422,x86423)),f326(x86422,x86424)),f326(x86422,x86423))+~P1(f326(f61(x86425),x86423))+~P1(f326(f326(f234(f939(x86425,a927)),x86424),x86423))
% 198.08/197.85 [9796]~P27(x97961,x97962,x97964,x97963)+~P1(f326(f326(f328(x97962),x97965),f326(f309(x97961,x97962,x97964),x97963)))+P1(f326(f326(f328(x97961),f326(f76(x97961,x97962,x97963,x97964),x97965)),x97966))+~P1(f326(f326(f234(f939(x97961,a927)),x97963),x97966))
% 198.08/197.85 [10172]~P79(x101722)+~E(f606(x101721,x101723,x101725,x101726,x101724,x101722),f607(x101721,x101723,x101725,x101726,x101724,x101722))+~P1(f326(f61(x101724),x101726))+E(f326(f326(f8(x101721,x101722),x101723),f326(f309(x101724,x101721,x101725),x101726)),f326(f326(f8(x101724,x101722),f326(f72(x101721,x101722,x101724,x101723),x101725)),x101726))
% 198.08/197.85 [10202]~P79(x102026)+E(f326(x102021,f606(x102022,x102023,x102021,x102024,x102025,x102026)),f326(x102021,f607(x102022,x102023,x102021,x102024,x102025,x102026)))+E(f326(f326(f8(x102022,x102026),x102023),f326(f309(x102025,x102022,x102021),x102024)),f326(f326(f8(x102025,x102026),f326(f72(x102022,x102026,x102025,x102023),x102021)),x102024))+~P1(f326(f61(x102025),x102024))
% 198.08/197.85 [10252]~P79(x102522)+~E(f326(x102523,f326(x102525,f607(x102521,x102523,x102525,x102526,x102524,x102522))),f2(x102522))+~P1(f326(f61(x102524),x102526))+E(f326(f326(f8(x102521,x102522),x102523),f326(f309(x102524,x102521,x102525),x102526)),f326(f326(f8(x102524,x102522),f326(f72(x102521,x102522,x102524,x102523),x102525)),x102526))
% 198.08/197.85 [10310]~P79(x103102)+~P1(f326(f61(x103104),x103106))+E(f326(f326(f8(x103101,x103102),x103103),f326(f309(x103104,x103101,x103105),x103106)),f326(f326(f8(x103104,x103102),f326(f72(x103101,x103102,x103104,x103103),x103105)),x103106))+P1(f326(f326(f328(x103104),f607(x103101,x103103,x103105,x103106,x103104,x103102)),x103106))
% 198.08/197.85 [10311]~P79(x103112)+~P1(f326(f61(x103114),x103116))+E(f326(f326(f8(x103111,x103112),x103113),f326(f309(x103114,x103111,x103115),x103116)),f326(f326(f8(x103114,x103112),f326(f72(x103111,x103112,x103114,x103113),x103115)),x103116))+P1(f326(f326(f328(x103114),f606(x103111,x103113,x103115,x103116,x103114,x103112)),x103116))
% 198.08/197.85 [10439]~P75(x104391)+~P1(f326(f61(x104392),x104396))+E(f326(f326(f326(f65(x104391,x104392,f80(x104391)),f326(f326(f20(x104392,f939(x104393,a927),x104391),f326(f326(f9(x104392,x104391,f939(f939(x104393,a927),x104391)),f326(f326(f10(f939(x104393,x104391),f939(x104391,f939(f939(x104393,a927),x104391)),x104392),f65(x104391,x104393,f80(x104391))),x104394)),f77(x104391))),x104395)),f77(x104391)),x104396),f326(f326(f326(f65(x104391,f938(x104392,x104393),f80(x104391)),f326(f256(x104392,x104393,x104391),x104394)),f77(x104391)),f326(f326(f253(x104392,x104393),x104396),x104395)))+P1(f326(f326(f328(x104392),f561(x104394,x104395,x104393,x104396,x104392,x104391)),x104396))
% 198.08/197.85 [10461]~P75(x104611)+~P1(f326(f61(x104612),x104616))+E(f326(f326(f326(f65(x104611,x104612,f80(x104611)),f326(f326(f20(x104612,f939(x104613,a927),x104611),f326(f326(f9(x104612,x104611,f939(f939(x104613,a927),x104611)),f326(f326(f10(f939(x104613,x104611),f939(x104611,f939(f939(x104613,a927),x104611)),x104612),f65(x104611,x104613,f80(x104611))),x104614)),f77(x104611))),x104615)),f77(x104611)),x104616),f326(f326(f326(f65(x104611,f938(x104612,x104613),f80(x104611)),f326(f256(x104612,x104613,x104611),x104614)),f77(x104611)),f326(f326(f253(x104612,x104613),x104616),x104615)))+~P1(f326(f61(x104613),f326(x104615,f561(x104614,x104615,x104613,x104616,x104612,x104611))))
% 198.08/197.85 [8553]~P22(x85532,x85535,x85536,x85531)+~P1(f326(f61(x85532),x85534))+~P1(f326(f61(x85532),x85533))+E(f326(x85531,f326(f326(f110(f939(x85532,a927)),x85533),x85534)),f326(f72(x85535,x85535,x85535,f326(x85531,x85533)),f326(x85531,x85534)))
% 198.08/197.85 [8769]~P7(x87691)+P1(f326(f326(f234(x87691),f326(x87692,x87693)),x87694))+~P1(f326(f326(f328(x87695),x87693),x87696))+~P1(f326(f326(f234(x87691),f326(f326(f40(x87695,x87691),x87696),x87692)),x87694))
% 198.08/197.85 [9200]~P27(x92002,x92001,x92003,x92006)+E(f326(f326(f3(f939(x92001,a927)),f326(f309(x92002,x92001,x92003),x92004)),f326(f309(x92002,x92001,x92003),x92005)),f326(f309(x92002,x92001,x92003),f326(f326(f3(f939(x92002,a927)),x92004),x92005)))+~P1(f326(f326(f234(f939(x92002,a927)),x92005),x92006))+~P1(f326(f326(f234(f939(x92002,a927)),x92004),x92006))
% 198.08/197.85 [9201]~P27(x92012,x92011,x92013,x92016)+E(f326(f326(f101(f939(x92011,a927)),f326(f309(x92012,x92011,x92013),x92014)),f326(f309(x92012,x92011,x92013),x92015)),f326(f309(x92012,x92011,x92013),f326(f326(f101(f939(x92012,a927)),x92014),x92015)))+~P1(f326(f326(f234(f939(x92012,a927)),x92015),x92016))+~P1(f326(f326(f234(f939(x92012,a927)),x92014),x92016))
% 198.08/197.85 [9466]E(x94661,x94662)+~P59(x94663,x94664,x94665)+~P1(f326(f326(f328(f938(x94663,x94664)),f326(f326(f251(x94663,x94664),x94666),x94662)),x94665))+~P1(f326(f326(f328(f938(x94663,x94664)),f326(f326(f251(x94663,x94664),x94666),x94661)),x94665))
% 198.08/197.85 [10248]~P73(x102481)+~E(f326(x102483,f918(x102484,x102486,x102483,x102485,x102482,x102481)),f326(x102486,f918(x102484,x102486,x102483,x102485,x102482,x102481)))+~P1(f326(f61(x102482),x102485))+E(f326(f326(f326(f65(x102481,x102482,f80(x102481)),x102483),x102484),x102485),f326(f326(f326(f65(x102481,x102482,f80(x102481)),x102486),x102484),x102485))
% 198.08/197.85 [10308]~P73(x103081)+~P1(f326(f61(x103082),x103085))+E(f326(f326(f326(f65(x103081,x103082,f80(x103081)),x103083),x103084),x103085),f326(f326(f326(f65(x103081,x103082,f80(x103081)),x103086),x103084),x103085))+P1(f326(f326(f328(x103082),f918(x103084,x103083,x103086,x103085,x103082,x103081)),x103085))
% 198.08/197.85 [8996]~P73(x89961)+~P1(f326(f61(x89962),x89966))+P1(f326(f326(f328(x89962),x89965),x89966))+E(f326(f326(f326(f65(x89961,x89962,f80(x89961)),x89963),x89964),f326(f326(f308(x89962),x89965),x89966)),f326(f326(f80(x89961),f326(x89963,x89965)),f326(f326(f326(f65(x89961,x89962,f80(x89961)),x89963),x89964),x89966)))
% 198.08/197.85 [9049]~P10(x90491,x90496,x90493)+~P13(x90491,f939(x90492,a927),x90493,x90495)+~P1(f326(f326(f328(x90491),x90494),x90496))+E(f326(f326(f40(x90491,f939(x90492,a927)),f326(f284(x90491,x90491,x90493),f326(f326(f308(x90491),x90494),f188(f939(x90491,a927))))),x90495),f326(x90495,x90494))
% 198.08/197.85 [9177]~P18(x91773,x91774,x91771)+~P1(f326(f61(x91773),x91776))+~P1(f326(f326(f328(x91773),x91772),x91776))+E(f326(f326(x91771,x91772),f326(f326(f64(x91773,x91774,x91771),x91775),f326(f326(f3(f939(x91773,a927)),x91776),f326(f326(f308(x91773),x91772),f188(f939(x91773,a927)))))),f326(f326(f64(x91773,x91774,x91771),x91775),x91776))
% 198.08/197.85 [9476]~P21(x94763,x94761,x94766,x94762)+~P1(f326(f61(x94763),x94765))+~P1(f326(f61(x94763),x94764))+E(f326(f72(x94761,x94761,x94761,f326(x94762,f326(f326(f110(f939(x94763,a927)),x94764),x94765))),f326(x94762,f326(f326(f101(f939(x94763,a927)),x94764),x94765))),f326(f72(x94761,x94761,x94761,f326(x94762,x94764)),f326(x94762,x94765)))
% 198.08/197.85 [9819]~E(x98193,f326(f326(f159(x98191,x98192),x98195),x98196))+P1(f326(f326(f328(f938(f932(x98191),f932(x98191))),f326(f326(f251(f932(x98191),f932(x98191)),x98192),x98193)),f157(x98191,x98194)))+~P1(f326(f326(f235(a931),x98195),f326(f189(f932(x98191)),x98192)))+~P1(f326(f326(f328(f938(x98191,x98191)),f326(f326(f251(x98191,x98191),f326(f326(f164(x98191),x98192),x98195)),x98196)),x98194))
% 198.08/197.85 [10324]~P79(x103242)+~P1(f326(f61(x103241),x103246))+P1(f326(f326(f328(x103241),f559(x103244,x103245,x103243,x103246,x103241,x103242)),x103246))+E(f326(f326(f8(x103241,x103242),f326(f326(f20(x103241,f939(x103243,a927),x103242),f326(f326(f10(f939(x103243,x103242),f939(f939(x103243,a927),x103242),x103241),f8(x103243,x103242)),x103244)),x103245)),x103246),f326(f326(f8(f938(x103241,x103243),x103242),f326(f256(x103241,x103243,x103242),x103244)),f326(f326(f253(x103241,x103243),x103246),x103245)))
% 198.08/197.85 [10325]~P75(x103252)+~P1(f326(f61(x103251),x103256))+P1(f326(f326(f328(x103251),f560(x103254,x103255,x103253,x103256,x103251,x103252)),x103256))+E(f326(f326(f11(x103251,x103252),f326(f326(f20(x103251,f939(x103253,a927),x103252),f326(f326(f10(f939(x103253,x103252),f939(f939(x103253,a927),x103252),x103251),f11(x103253,x103252)),x103254)),x103255)),x103256),f326(f326(f11(f938(x103251,x103253),x103252),f326(f256(x103251,x103253,x103252),x103254)),f326(f326(f253(x103251,x103253),x103256),x103255)))
% 198.08/197.85 [10365]~P79(x103652)+~P1(f326(f61(x103651),x103656))+~P1(f326(f61(x103653),f326(x103655,f559(x103654,x103655,x103653,x103656,x103651,x103652))))+E(f326(f326(f8(x103651,x103652),f326(f326(f20(x103651,f939(x103653,a927),x103652),f326(f326(f10(f939(x103653,x103652),f939(f939(x103653,a927),x103652),x103651),f8(x103653,x103652)),x103654)),x103655)),x103656),f326(f326(f8(f938(x103651,x103653),x103652),f326(f256(x103651,x103653,x103652),x103654)),f326(f326(f253(x103651,x103653),x103656),x103655)))
% 198.08/197.85 [10366]~P75(x103662)+~P1(f326(f61(x103661),x103666))+~P1(f326(f61(x103663),f326(x103665,f560(x103664,x103665,x103663,x103666,x103661,x103662))))+E(f326(f326(f11(x103661,x103662),f326(f326(f20(x103661,f939(x103663,a927),x103662),f326(f326(f10(f939(x103663,x103662),f939(f939(x103663,a927),x103662),x103661),f11(x103663,x103662)),x103664)),x103665)),x103666),f326(f326(f11(f938(x103661,x103663),x103662),f326(f256(x103661,x103663,x103662),x103664)),f326(f326(f253(x103661,x103663),x103666),x103665)))
% 198.08/197.85 [10346]~P75(x103462)+~P1(f326(f61(x103461),x103466))+P1(f326(f326(f328(x103461),x103463),x103466))+E(f326(f326(f11(x103461,x103462),f326(f326(f9(x103461,x103462,x103462),f326(f326(f20(x103461,x103462,f939(x103462,x103462)),f326(f326(f10(a927,f939(x103462,f939(x103462,x103462)),x103461),f96(x103462)),f326(f326(f9(x103461,x103461,a927),a323),x103463))),x103464)),x103465)),x103466),f326(f326(f243(x103462),x103465),f326(f35(x103461),x103466)))
% 198.08/197.85 [10351]~P75(x103512)+~P1(f326(f61(x103511),x103516))+~P1(f326(f326(f328(x103511),x103513),x103516))+E(f326(f326(f11(x103511,x103512),f326(f326(f9(x103511,x103512,x103512),f326(f326(f20(x103511,x103512,f939(x103512,x103512)),f326(f326(f10(a927,f939(x103512,f939(x103512,x103512)),x103511),f96(x103512)),f326(f326(f9(x103511,x103511,a927),a323),x103513))),x103514)),x103515)),x103516),f326(f326(f80(x103512),f326(x103514,x103513)),f326(f326(f243(x103512),x103515),f326(f326(f3(a931),f326(f35(x103511),x103516)),f77(a931)))))
% 198.08/197.85 [10430]~P1(f326(f61(x104301),x104305))+~P1(f326(f61(x104302),x104303))+P1(f326(f326(f328(x104302),f575(x104306,x104304,x104303,x104302,x104305,x104301)),x104303))+E(f326(f326(f8(x104301,a931),f326(f326(f10(f939(x104302,a927),a931,x104301),f35(x104302)),f326(f326(f10(f939(x104302,a927),f939(x104302,a927),x104301),f261(x104302)),f326(f326(f10(f939(x104302,a927),f939(x104302,a927),x104301),f326(f20(x104302,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104302),a324),f326(f326(f9(x104302,f939(x104302,a927),a927),f328(x104302)),x104303)))),x104304)))),x104305),f326(f326(f80(a931),x104306),f326(f35(x104302),x104303)))
% 198.08/197.85 [10431]~P1(f326(f61(x104311),x104315))+~P1(f326(f61(x104312),x104313))+P1(f326(f326(f328(x104312),f576(x104316,x104314,x104313,x104312,x104315,x104311)),x104313))+E(f326(f326(f8(x104311,a931),f326(f326(f10(f939(x104312,a927),a931,x104311),f35(x104312)),f326(f326(f10(f939(x104312,a927),f939(x104312,a927),x104311),f261(x104312)),f326(f326(f10(f939(x104312,a927),f939(x104312,a927),x104311),f326(f20(x104312,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104312),a324),f326(f326(f9(x104312,f939(x104312,a927),a927),f328(x104312)),x104313)))),x104314)))),x104315),f326(f326(f8(x104312,a931),x104316),x104313))
% 198.08/197.85 [10475]~P1(f326(f61(x104752),x104753))+~P1(f326(f61(x104751),x104755))+~E(f326(f35(x104751),f326(f261(x104751),f326(f326(f20(x104751,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104751),a324),f326(f326(f9(x104751,f939(x104751,a927),a927),f328(x104751)),x104755))),f326(f326(f9(x104751,x104752,a927),x104754),f575(x104756,x104754,x104753,x104752,x104755,x104751))))),x104756)+E(f326(f326(f8(x104751,a931),f326(f326(f10(f939(x104752,a927),a931,x104751),f35(x104752)),f326(f326(f10(f939(x104752,a927),f939(x104752,a927),x104751),f261(x104752)),f326(f326(f10(f939(x104752,a927),f939(x104752,a927),x104751),f326(f20(x104752,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104752),a324),f326(f326(f9(x104752,f939(x104752,a927),a927),f328(x104752)),x104753)))),x104754)))),x104755),f326(f326(f80(a931),x104756),f326(f35(x104752),x104753)))
% 198.08/197.85 [10477]~P1(f326(f61(x104772),x104773))+~P1(f326(f61(x104771),x104775))+~E(f326(f35(x104771),f326(f261(x104771),f326(f326(f20(x104771,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104771),a324),f326(f326(f9(x104771,f939(x104771,a927),a927),f328(x104771)),x104775))),f326(f326(f9(x104771,x104772,a927),x104774),f576(x104776,x104774,x104773,x104772,x104775,x104771))))),f326(x104776,f576(x104776,x104774,x104773,x104772,x104775,x104771)))+E(f326(f326(f8(x104771,a931),f326(f326(f10(f939(x104772,a927),a931,x104771),f35(x104772)),f326(f326(f10(f939(x104772,a927),f939(x104772,a927),x104771),f261(x104772)),f326(f326(f10(f939(x104772,a927),f939(x104772,a927),x104771),f326(f20(x104772,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104772),a324),f326(f326(f9(x104772,f939(x104772,a927),a927),f328(x104772)),x104773)))),x104774)))),x104775),f326(f326(f8(x104772,a931),x104776),x104773))
% 198.08/197.85 [10097]E(x100971,x100972)+~P18(x100973,x100974,x100975)+~P1(f326(f66(x100973,x100974,x100975,x100976,x100977),x100972))+~P1(f326(f66(x100973,x100974,x100975,x100976,x100977),x100971))
% 198.08/197.85 [9897]P1(f326(x98971,x98972))+~P1(f326(f326(f328(x98977),x98972),f326(x98976,x98974)))+~P1(f326(x98971,f479(x98971,x98976,x98975,x98973,x98977)))+~P1(f326(f326(f328(x98973),x98974),x98975))
% 198.08/197.85 [10338]~P18(x103387,x103386,x103381)+E(f326(f326(x103381,x103382),f920(x103382,x103383,x103384,x103385,x103381,x103386,x103387)),x103383)+~P1(f326(f66(x103387,x103386,x103381,x103385,x103384),x103383))+~P1(f326(f326(f328(x103387),x103382),x103384))
% 198.08/197.85 [10408]~P18(x104081,x104082,x104083)+~P1(f326(f66(x104081,x104082,x104083,x104084,x104085),x104087))+P1(f326(f66(x104081,x104082,x104083,x104084,f326(f326(f3(f939(x104081,a927)),x104085),f326(f326(f308(x104081),x104086),f188(f939(x104081,a927))))),f920(x104086,x104087,x104085,x104084,x104083,x104082,x104081)))+~P1(f326(f326(f328(x104081),x104086),x104085))
% 198.08/197.85 [9546]P28(x95461,x95462,x95463,x95464,x95465)+~P28(x95461,x95462,x95463,x95466,x95467)+~E(f326(f309(x95461,x95462,x95463),x95464),x95465)+~P1(f326(f326(f234(f939(x95461,a927)),x95464),x95466))
% 198.08/197.85 [9787]~P28(x97871,x97872,x97873,x97875,x97877)+~P28(x97871,x97872,x97873,x97874,x97876)+P28(x97871,x97872,x97873,f326(f326(f110(f939(x97871,a927)),x97874),x97875),f326(f326(f110(f939(x97872,a927)),x97876),x97877))+~E(f326(f326(f101(f939(x97872,a927)),x97876),x97877),f188(f939(x97872,a927)))
% 198.08/197.85 [9792]~P73(x97921)+~P27(x97925,x97922,x97926,x97927)+~P1(f326(f61(x97925),x97927))+E(f326(f326(f326(f65(x97921,x97922,f80(x97921)),x97923),x97924),f326(f309(x97925,x97922,x97926),x97927)),f326(f326(f326(f65(x97921,x97925,f80(x97921)),f326(f72(x97922,x97921,x97925,x97923),x97926)),x97924),x97927))
% 198.08/197.85 [9920]~E(f326(f326(f308(x99201),x99205),x99206),f326(f326(f308(x99201),x99202),x99203))+~P1(f326(f66(x99201,x99201,x99204,x99202,x99203),x99207))+P1(f326(f326(f328(x99201),x99202),x99203))+P1(f326(f62(x99201,x99204,f326(f326(f308(x99201),x99205),x99206)),x99207))
% 198.08/197.85 [10004]P1(f326(x100041,x100042))+~P1(f326(f326(f328(x100043),x100042),f326(x100044,x100047)))+~P1(f326(f326(f328(x100046),x100047),x100045))+P1(f326(f326(f328(x100043),f479(x100041,x100044,x100045,x100046,x100043)),f326(f326(f40(x100046,f939(x100043,a927)),x100045),x100044)))
% 198.08/197.85 [10021]~P27(x100212,x100211,x100215,x100214)+~P27(x100211,x100213,x100216,f326(f309(x100212,x100211,x100215),x100214))+E(f326(f326(f72(x100211,x100212,x100213,f76(x100212,x100211,x100214,x100215)),f76(x100211,x100213,f326(f309(x100212,x100211,x100215),x100214),x100216)),x100217),f326(f76(x100212,x100213,x100214,f326(f72(x100211,x100213,x100212,x100216),x100215)),x100217))+~P1(f326(f326(f328(x100213),x100217),f326(f309(x100211,x100213,x100216),f326(f309(x100212,x100211,x100215),x100214))))
% 198.08/197.85 [10022]~P27(x100222,x100221,x100225,x100224)+~P27(x100221,x100223,x100226,f326(f309(x100222,x100221,x100225),x100224))+E(f326(f326(f72(x100221,x100222,x100223,f91(x100222,x100221,x100224,x100225)),f91(x100221,x100223,f326(f309(x100222,x100221,x100225),x100224),x100226)),x100227),f326(f91(x100222,x100223,x100224,f326(f72(x100221,x100223,x100222,x100226),x100225)),x100227))+~P1(f326(f326(f328(x100223),x100227),f326(f309(x100221,x100223,x100226),f326(f309(x100222,x100221,x100225),x100224))))
% 198.08/197.85 [10339]~P18(x103397,x103396,x103391)+E(f326(f326(x103391,x103392),f921(x103393,x103394,x103392,x103395,x103391,x103396,x103397)),x103393)+P1(f326(f326(f328(x103397),x103392),x103394))+~P1(f326(f66(x103397,x103396,x103391,x103395,f326(f326(f308(x103397),x103392),x103394)),x103393))
% 198.08/197.85 [10407]~P18(x104071,x104074,x104075)+P1(f326(f66(x104071,x104074,x104075,x104076,x104073),f921(x104077,x104073,x104072,x104076,x104075,x104074,x104071)))+P1(f326(f326(f328(x104071),x104072),x104073))+~P1(f326(f66(x104071,x104074,x104075,x104076,f326(f326(f308(x104071),x104072),x104073)),x104077))
% 198.08/197.85 [10079]E(x100791,f2(a1))+~P1(f326(f49(x100793,x100791),f326(f326(f251(a1,a1),x100795),x100797)))+~P1(f326(f49(x100792,x100791),f326(f326(f251(a1,a1),x100794),x100796)))+P1(f326(f49(f326(f326(f79(a1),x100792),x100793),x100791),f326(f326(f251(a1,a1),f326(f326(f79(a1),f326(f326(f79(a1),x100794),x100795)),f326(f326(f36(a1),f326(f326(f79(a1),x100796),x100797)),x100791))),f45(a1,f326(f326(f79(a1),x100796),x100797),x100791))))
% 198.08/197.85 [10081]~P1(f326(f326(f235(a931),f2(a931)),x100813))+~P1(f326(f48(x100812,x100813),f326(f326(f251(a931,a931),x100815),x100817)))+~P1(f326(f48(x100811,x100813),f326(f326(f251(a931,a931),x100814),x100816)))+P1(f326(f48(f326(f326(f79(a931),x100811),x100812),x100813),f326(f326(f251(a931,a931),f326(f326(f79(a931),f326(f326(f79(a931),x100814),x100815)),f326(f326(f36(a931),f326(f326(f79(a931),x100816),x100817)),x100813))),f45(a931,f326(f326(f79(a931),x100816),x100817),x100813))))
% 198.08/197.85 [10474]~P79(x104742)+~P1(f326(f61(x104743),x104745))+~P1(f326(f61(x104741),x104747))+E(f326(f326(f8(x104741,x104742),f326(f326(f20(x104741,f939(x104743,a927),x104742),f326(f326(f10(f939(x104743,x104742),f939(f939(x104743,a927),x104742),x104741),f8(x104743,x104742)),x104744)),f326(f326(f10(f939(x104743,a927),f939(x104743,a927),x104741),f261(x104743)),f326(f326(f10(f939(x104743,a927),f939(x104743,a927),x104741),f326(f20(x104743,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104743),a324),f326(f326(f9(x104743,f939(x104743,a927),a927),f328(x104743)),x104745)))),x104746)))),x104747),f326(f326(f8(x104743,x104742),f326(f326(f20(x104743,f939(x104741,a927),x104742),f326(f326(f10(f939(x104741,x104742),f939(f939(x104741,a927),x104742),x104743),f8(x104741,x104742)),f326(f9(x104741,x104743,x104742),x104744))),f326(f326(f10(f939(x104741,a927),f939(x104741,a927),x104743),f261(x104741)),f326(f326(f10(f939(x104741,a927),f939(x104741,a927),x104743),f326(f20(x104741,a927,a927),f326(f326(f10(a927,f939(a927,a927),x104741),a324),f326(f326(f9(x104741,f939(x104741,a927),a927),f328(x104741)),x104747)))),f326(f9(x104741,x104743,a927),x104746))))),x104745))
% 198.08/197.85 [10428]~P23(x104288,x104287,x104286,x104285,x104281)+~E(f326(x104282,f868(x104284,x104282,x104283,x104281,x104285,x104286,x104287)),f326(x104284,f868(x104284,x104282,x104283,x104281,x104285,x104286,x104287)))+E(f326(f326(x104281,x104282),x104283),f326(f326(x104281,x104284),x104283))+~P1(f326(f61(x104287),x104283))
% 198.08/197.85 [9956]~P24(x99567,x99566,x99561,x99568,x99562,x99564)+E(f326(f326(x99561,f326(x99562,x99563)),f326(x99564,x99565)),f326(x99564,x99565))+~P1(f326(f61(x99566),x99565))+~P1(f326(f326(f328(x99566),x99563),x99565))
% 198.08/197.85 [9960]~P14(x99606,x99601,x99602,x99608,x99603,x99604)+~P10(x99606,x99607,x99608)+P13(x99601,x99602,x99603,f326(x99604,x99605))+~P1(f326(f326(f328(x99606),x99605),x99607))
% 198.08/197.85 [10446]~P23(x104468,x104465,x104467,x104466,x104461)+E(f326(f326(x104461,x104462),x104463),f326(f326(x104461,x104464),x104463))+~P1(f326(f61(x104465),x104463))+P1(f326(f326(f328(x104465),f868(x104462,x104464,x104463,x104461,x104466,x104467,x104465)),x104463))
% 198.08/197.85 [10527]~P1(f326(f326(x105271,x105276),x105275))+P1(f326(f326(x105271,f854(x105271,x105274,x105275,x105276,x105273,x105272,x105277,x105278)),f859(x105271,x105274,x105275,x105276,x105273,x105272,x105277,x105278)))+P1(f326(f326(x105271,x105272),x105273))+~P1(f326(f326(f328(f938(f938(x105278,x105277),f938(x105278,x105277))),f326(f326(f251(f938(x105278,x105277),f938(x105278,x105277)),f326(f326(f251(x105278,x105277),x105272),x105273)),f326(f326(f251(x105278,x105277),x105276),x105275))),f306(f938(x105278,x105277),x105274)))
% 198.08/197.85 [10528]~P1(f326(f326(x105281,x105286),x105285))+P1(f326(f326(x105281,f847(x105281,x105284,x105283,x105282,x105285,x105286,x105287,x105288)),f848(x105281,x105284,x105283,x105282,x105285,x105286,x105287,x105288)))+P1(f326(f326(x105281,x105282),x105283))+~P1(f326(f326(f328(f938(f938(x105288,x105287),f938(x105288,x105287))),f326(f326(f251(f938(x105288,x105287),f938(x105288,x105287)),f326(f326(f251(x105288,x105287),x105286),x105285)),f326(f326(f251(x105288,x105287),x105282),x105283))),f306(f938(x105288,x105287),x105284)))
% 198.08/197.85 [10538]~P1(f326(f326(x105381,f855(x105381,x105386,x105385,x105384,x105383,x105382,x105387,x105388)),f858(x105381,x105386,x105385,x105384,x105383,x105382,x105387,x105388)))+P1(f326(f326(x105381,x105382),x105383))+~P1(f326(f326(x105381,x105384),x105385))+~P1(f326(f326(f328(f938(f938(x105388,x105387),f938(x105388,x105387))),f326(f326(f251(f938(x105388,x105387),f938(x105388,x105387)),f326(f326(f251(x105388,x105387),x105382),x105383)),f326(f326(f251(x105388,x105387),x105384),x105385))),f306(f938(x105388,x105387),x105386)))
% 198.08/197.85 [10539]~P1(f326(f326(x105391,f849(x105391,x105396,x105393,x105392,x105395,x105394,x105397,x105398)),f850(x105391,x105396,x105393,x105392,x105395,x105394,x105397,x105398)))+P1(f326(f326(x105391,x105392),x105393))+~P1(f326(f326(x105391,x105394),x105395))+~P1(f326(f326(f328(f938(f938(x105398,x105397),f938(x105398,x105397))),f326(f326(f251(f938(x105398,x105397),f938(x105398,x105397)),f326(f326(f251(x105398,x105397),x105394),x105395)),f326(f326(f251(x105398,x105397),x105392),x105393))),f306(f938(x105398,x105397),x105396)))
% 198.08/197.85 [10552]~P1(f326(f326(x105521,x105526),x105527))+P1(f326(f326(x105521,x105522),x105523))+P1(f326(f326(f328(f938(f938(x105524,x105525),f938(x105524,x105525))),f326(f326(f251(f938(x105524,x105525),f938(x105524,x105525)),f326(f326(f251(x105524,x105525),x105526),x105527)),f326(f326(f251(x105524,x105525),f847(x105521,x105528,x105523,x105522,x105527,x105526,x105525,x105524)),f848(x105521,x105528,x105523,x105522,x105527,x105526,x105525,x105524)))),f306(f938(x105524,x105525),x105528)))+~P1(f326(f326(f328(f938(f938(x105524,x105525),f938(x105524,x105525))),f326(f326(f251(f938(x105524,x105525),f938(x105524,x105525)),f326(f326(f251(x105524,x105525),x105526),x105527)),f326(f326(f251(x105524,x105525),x105522),x105523))),f306(f938(x105524,x105525),x105528)))
% 198.08/197.85 [10554]~P1(f326(f326(x105541,x105548),x105547))+P1(f326(f326(x105541,x105542),x105543))+P1(f326(f326(f328(f938(f938(x105544,x105545),f938(x105544,x105545))),f326(f326(f251(f938(x105544,x105545),f938(x105544,x105545)),f326(f326(f251(x105544,x105545),f854(x105541,x105546,x105547,x105548,x105543,x105542,x105545,x105544)),f859(x105541,x105546,x105547,x105548,x105543,x105542,x105545,x105544))),f326(f326(f251(x105544,x105545),x105548),x105547))),f306(f938(x105544,x105545),x105546)))+~P1(f326(f326(f328(f938(f938(x105544,x105545),f938(x105544,x105545))),f326(f326(f251(f938(x105544,x105545),f938(x105544,x105545)),f326(f326(f251(x105544,x105545),x105542),x105543)),f326(f326(f251(x105544,x105545),x105548),x105547))),f306(f938(x105544,x105545),x105546)))
% 198.08/197.85 [8077]~P45(x80774,x80775,x80776,x80773)+~P30(x80778,x80776,f326(f326(f326(f90(x80778),x80777),x80774),x80771))+P1(f326(f326(x80771,x80772),x80773))+~P1(f326(f326(x80777,x80772),x80775))
% 198.08/197.85 [9571]~P21(x95717,x95711,x95718,x95713)+~P1(f326(f61(x95717),x95715))+~P1(f326(f61(x95717),x95714))+E(f326(f72(x95711,x95711,x95712,f326(x95713,x95714)),f326(f72(x95711,x95711,x95712,f326(x95713,x95715)),x95716)),f326(f72(x95711,x95711,x95712,f326(x95713,x95715)),f326(f72(x95711,x95711,x95712,f326(x95713,x95714)),x95716)))
% 198.08/197.85 [9580]~P38(x95801,x95802,x95803,x95804,x95807)+P38(x95801,x95802,x95803,f326(f326(f159(x95801,x95804),x95805),x95806),f326(f326(f159(x95802,x95807),x95805),x95808))+~P1(f326(f326(x95803,x95806),x95808))+~P1(f326(f326(f235(a931),x95805),f326(f189(f932(x95801)),x95804)))
% 198.08/197.85 [9581]~P38(x95811,x95812,x95813,x95814,x95817)+P38(x95811,x95812,x95813,f326(f326(f159(x95811,x95814),x95815),x95816),f326(f326(f159(x95812,x95817),x95815),x95818))+~P1(f326(f326(x95813,x95816),x95818))+~P1(f326(f326(f235(a931),x95815),f326(f189(f932(x95812)),x95817)))
% 198.08/197.85 [9660]~P27(x96602,x96602,x96605,x96606)+~P23(x96603,x96602,x96607,x96608,x96601)+~P1(f326(f61(x96602),x96606))+E(f326(f326(x96601,f326(f72(x96602,x96603,x96602,x96604),x96605)),x96606),f326(f326(x96601,x96604),f326(f309(x96602,x96602,x96605),x96606)))
% 198.08/197.85 [9921]P28(x99211,x99212,x99213,x99214,x99215)+~P28(x99212,x99216,x99217,x99215,x99218)+~P28(x99211,x99216,f326(f72(x99212,x99216,x99211,x99217),x99213),x99214,x99218)+~P1(f326(f326(f234(f939(x99212,a927)),f326(f309(x99211,x99212,x99213),x99214)),x99215))
% 198.08/197.85 [9958]~P25(x99587,x99582,x99585,x99588,x99586,x99581)+~P1(f326(f61(x99582),x99584))+E(f326(x99581,f326(f326(f308(x99582),x99583),x99584)),f326(f326(x99585,f326(x99586,x99583)),f326(x99581,x99584)))+P1(f326(f326(f328(x99582),x99583),x99584))
% 198.08/197.85 [9969]~P24(x99696,x99695,x99691,x99697,x99698,x99692)+E(f326(f326(x99691,f326(x99692,x99693)),f326(x99692,x99694)),f326(x99692,x99694))+~P1(f326(f61(x99695),x99694))+~P1(f326(f326(f234(f939(x99695,a927)),x99693),x99694))
% 198.08/197.85 [10471]P26(x104718,x104717,f326(f326(f308(f930(x104718)),f326(f326(f326(f90(x104718),x104714),x104715),x104713)),f188(f939(f930(x104718),a927))))+~P26(x104718,x104717,f326(f326(f308(f930(x104718)),f326(f326(f326(f90(x104718),x104716),x104715),x104711)),f188(f939(f930(x104718),a927))))+~P1(f326(f326(x104716,x104712),f358(x104713,x104714,x104711,x104715,x104716,x104717,x104718)))+P1(f326(f326(x104711,x104712),f369(x104713,x104714,x104711,x104715,x104716,x104717,x104718)))
% 198.08/197.85 [9558]P1(f326(f326(f328(f938(f932(x95581),f932(x95581))),f326(f326(f251(f932(x95581),f932(x95581)),x95582),x95583)),f157(x95581,x95584)))+~E(x95583,f326(f326(f134(x95581),x95585),f326(f326(f151(x95581),x95586),x95587)))+~E(x95582,f326(f326(f134(x95581),x95585),f326(f326(f151(x95581),x95588),x95587)))+~P1(f326(f326(f328(f938(x95581,x95581)),f326(f326(f251(x95581,x95581),x95588),x95586)),x95584))
% 198.08/197.85 [9963]~P24(x99636,x99632,x99635,x99637,x99638,x99631)+~P1(f326(f61(x99632),x99634))+~P1(f326(f61(x99632),x99633))+E(f326(x99631,f326(f326(f110(f939(x99632,a927)),x99633),x99634)),f326(f326(x99635,f326(x99631,x99633)),f326(x99631,x99634)))
% 198.08/197.85 [10517]~P27(x105174,x105172,x105175,x105178)+E(f326(f326(f39(x105171,f939(x105172,a927)),x105173),f326(f326(f10(f939(x105174,a927),f939(x105172,a927),x105171),f309(x105174,x105172,x105175)),x105176)),f326(f309(x105174,x105172,x105175),f326(f326(f39(x105171,f939(x105174,a927)),x105173),x105176)))+~P1(f326(f326(f328(x105171),x105177),x105173))+P1(f326(f326(f328(x105171),f528(x105177,x105176,x105173,x105171,x105178,x105175,x105172,x105174)),x105173))
% 198.08/197.85 [10543]~P27(x105434,x105432,x105435,x105437)+E(f326(f326(f39(x105431,f939(x105432,a927)),x105433),f326(f326(f10(f939(x105434,a927),f939(x105432,a927),x105431),f309(x105434,x105432,x105435)),x105436)),f326(f309(x105434,x105432,x105435),f326(f326(f39(x105431,f939(x105434,a927)),x105433),x105436)))+~P1(f326(f326(f328(x105431),x105438),x105433))+~P1(f326(f326(f234(f939(x105434,a927)),f326(x105436,f528(x105438,x105436,x105433,x105431,x105437,x105435,x105432,x105434))),x105437))
% 198.08/197.85 [10555]~P1(f326(f326(x105551,x105558),x105557))+P1(f326(f326(x105551,x105552),x105553))+~P1(f326(f326(f328(f938(f938(x105554,x105555),f938(x105554,x105555))),f326(f326(f251(f938(x105554,x105555),f938(x105554,x105555)),f326(f326(f251(x105554,x105555),x105552),x105553)),f326(f326(f251(x105554,x105555),x105558),x105557))),f306(f938(x105554,x105555),x105556)))+P1(f326(f326(f328(f938(f938(x105554,x105555),f938(x105554,x105555))),f326(f326(f251(f938(x105554,x105555),f938(x105554,x105555)),f326(f326(f251(x105554,x105555),f855(x105551,x105556,x105557,x105558,x105553,x105552,x105555,x105554)),f858(x105551,x105556,x105557,x105558,x105553,x105552,x105555,x105554))),f326(f326(f251(x105554,x105555),f854(x105551,x105556,x105557,x105558,x105553,x105552,x105555,x105554)),f859(x105551,x105556,x105557,x105558,x105553,x105552,x105555,x105554)))),x105556))
% 198.08/197.85 [10556]~P1(f326(f326(x105561,x105568),x105567))+P1(f326(f326(x105561,x105562),x105563))+~P1(f326(f326(f328(f938(f938(x105564,x105565),f938(x105564,x105565))),f326(f326(f251(f938(x105564,x105565),f938(x105564,x105565)),f326(f326(f251(x105564,x105565),x105568),x105567)),f326(f326(f251(x105564,x105565),x105562),x105563))),f306(f938(x105564,x105565),x105566)))+P1(f326(f326(f328(f938(f938(x105564,x105565),f938(x105564,x105565))),f326(f326(f251(f938(x105564,x105565),f938(x105564,x105565)),f326(f326(f251(x105564,x105565),f847(x105561,x105566,x105563,x105562,x105567,x105568,x105565,x105564)),f848(x105561,x105566,x105563,x105562,x105567,x105568,x105565,x105564))),f326(f326(f251(x105564,x105565),f849(x105561,x105566,x105563,x105562,x105567,x105568,x105565,x105564)),f850(x105561,x105566,x105563,x105562,x105567,x105568,x105565,x105564)))),x105566))
% 198.08/197.85 [10031]~P25(x100317,x100315,x100311,x100318,x100312,x100314)+~P1(f326(f61(x100315),x100316))+~P1(f326(f326(f328(x100315),x100313),x100316))+E(f326(f326(x100311,f326(x100312,x100313)),f326(x100314,f326(f326(f3(f939(x100315,a927)),x100316),f326(f326(f308(x100315),x100313),f188(f939(x100315,a927)))))),f326(x100314,x100316))
% 198.08/197.85 [10039]~P25(x100396,x100393,x100391,x100397,x100398,x100392)+~P1(f326(f61(x100393),x100395))+~P1(f326(f61(x100393),x100394))+E(f326(f326(x100391,f326(x100392,f326(f326(f110(f939(x100393,a927)),x100394),x100395))),f326(x100392,f326(f326(f101(f939(x100393,a927)),x100394),x100395))),f326(f326(x100391,f326(x100392,x100394)),f326(x100392,x100395)))
% 198.08/197.85 [10122]P47(x101221,x101222,x101223,x101224,x101225,f326(f326(x101223,x101226),x101227))+~P47(x101221,x101222,x101223,x101224,f326(f326(f3(f939(x101221,a927)),x101225),f326(f326(f308(x101221),x101228),f188(f939(x101221,a927)))),x101229)+~E(f326(f326(x101223,x101226),x101227),f326(f326(x101223,x101228),x101229))+~P1(f326(f326(f328(x101221),x101228),x101225))
% 198.08/197.85 [10559]P26(x105591,x105592,f326(f326(f308(f930(x105591)),f326(f326(f326(f90(x105591),f326(x105593,f502(x105594,x105595,x105596,x105597,x105593,x105592,x105591,x105598,x105599))),f326(x105597,f502(x105594,x105595,x105596,x105597,x105593,x105592,x105591,x105598,x105599))),f326(x105596,f502(x105594,x105595,x105596,x105597,x105593,x105592,x105591,x105598,x105599)))),f188(f939(f930(x105591),a927))))+~P1(f326(f61(x105599),x105598))+~P26(x105591,x105592,f326(f309(x105599,f930(x105591),f326(f326(f20(x105599,f939(x105591,f939(a929,a927)),f930(x105591)),f326(f326(f20(x105599,a928,f939(f939(x105591,f939(a929,a927)),f930(x105591))),f326(f326(f10(f939(x105591,f939(a929,a927)),f939(a928,f939(f939(x105591,f939(a929,a927)),f930(x105591))),x105599),f90(x105591)),x105593)),x105597)),x105596)),x105598))+P26(x105591,x105592,f326(f309(x105599,f930(x105591),f326(f326(f20(x105599,f939(x105591,f939(a929,a927)),f930(x105591)),f326(f326(f20(x105599,a928,f939(f939(x105591,f939(a929,a927)),f930(x105591))),f326(f326(f10(f939(x105591,f939(a929,a927)),f939(a928,f939(f939(x105591,f939(a929,a927)),f930(x105591))),x105599),f90(x105591)),x105595)),x105597)),x105594)),x105598))
% 198.08/197.85 [10560]~P26(x105601,x105602,f326(f326(f308(f930(x105601)),f326(f326(f326(f90(x105601),f326(x105604,f502(x105606,x105604,x105608,x105605,x105609,x105602,x105601,x105607,x105603))),f326(x105605,f502(x105606,x105604,x105608,x105605,x105609,x105602,x105601,x105607,x105603))),f326(x105606,f502(x105606,x105604,x105608,x105605,x105609,x105602,x105601,x105607,x105603)))),f188(f939(f930(x105601),a927))))+~P1(f326(f61(x105603),x105607))+~P26(x105601,x105602,f326(f309(x105603,f930(x105601),f326(f326(f20(x105603,f939(x105601,f939(a929,a927)),f930(x105601)),f326(f326(f20(x105603,a928,f939(f939(x105601,f939(a929,a927)),f930(x105601))),f326(f326(f10(f939(x105601,f939(a929,a927)),f939(a928,f939(f939(x105601,f939(a929,a927)),f930(x105601))),x105603),f90(x105601)),x105609)),x105605)),x105608)),x105607))+P26(x105601,x105602,f326(f309(x105603,f930(x105601),f326(f326(f20(x105603,f939(x105601,f939(a929,a927)),f930(x105601)),f326(f326(f20(x105603,a928,f939(f939(x105601,f939(a929,a927)),f930(x105601))),f326(f326(f10(f939(x105601,f939(a929,a927)),f939(a928,f939(f939(x105601,f939(a929,a927)),f930(x105601))),x105603),f90(x105601)),x105604)),x105605)),x105606)),x105607))
% 198.08/197.85 [10063]~P14(x100636,x100637,x100638,x100639,x1006310,x100631)+E(f326(f326(x100631,x100632),x100633),f326(f326(x100631,x100634),x100635))+~P1(f326(f326(f328(f938(x100637,x100637)),f326(f326(f251(x100637,x100637),x100633),x100635)),x1006310))+~P1(f326(f326(f328(f938(x100636,x100636)),f326(f326(f251(x100636,x100636),x100632),x100634)),x100639))
% 198.08/197.85 [9662]~P3(x96622)+E(x96621,f188(f939(x96622,a927)))+~P1(f326(f61(x96622),x96621))+P1(f326(f326(f328(x96622),f12(x96622,x96621)),x96621))+~P1(f326(f326(f328(x96622),f326(f326(f110(x96622),f690(x96621,x96622)),f694(x96621,x96622))),f326(f326(f308(x96622),f690(x96621,x96622)),f326(f326(f308(x96622),f694(x96621,x96622)),f188(f939(x96622,a927))))))
% 198.08/197.85 [9663]~P3(x96632)+E(x96631,f188(f939(x96632,a927)))+~P1(f326(f61(x96632),x96631))+P1(f326(f326(f328(x96632),f13(x96632,x96631)),x96631))+~P1(f326(f326(f328(x96632),f326(f326(f101(x96632),f900(x96631,x96632)),f903(x96631,x96632))),f326(f326(f308(x96632),f900(x96631,x96632)),f326(f326(f308(x96632),f903(x96631,x96632)),f188(f939(x96632,a927))))))
% 198.08/197.85 [9696]~P73(x96962)+E(x96961,f188(f939(x96962,a927)))+~P1(f326(f61(x96962),x96961))+P1(f326(f326(f328(x96962),f326(f63(x96962,f80(x96962)),x96961)),x96961))+~P1(f326(f326(f328(x96962),f326(f326(f80(x96962),f744(x96961,x96962)),f754(x96961,x96962))),f326(f326(f308(x96962),f744(x96961,x96962)),f326(f326(f308(x96962),f754(x96961,x96962)),f188(f939(x96962,a927))))))
% 198.08/197.85 [9702]~P111(x97022)+E(x97021,f188(f939(x97022,a927)))+~P1(f326(f61(x97022),x97021))+P1(f326(f326(f328(x97022),f14(x97022,f232(x97022),x97021)),x97021))+~P1(f326(f326(f328(x97022),f326(f326(f232(x97022),f391(x97021,x97022)),f394(x97021,x97022))),f326(f326(f308(x97022),f391(x97021,x97022)),f326(f326(f308(x97022),f394(x97021,x97022)),f188(f939(x97022,a927))))))
% 198.08/197.85 [9703]~P111(x97032)+E(x97031,f188(f939(x97032,a927)))+~P1(f326(f61(x97032),x97031))+P1(f326(f326(f328(x97032),f15(x97032,f233(x97032),x97031)),x97031))+~P1(f326(f326(f328(x97032),f326(f326(f233(x97032),f425(x97031,x97032)),f428(x97031,x97032))),f326(f326(f308(x97032),f425(x97031,x97032)),f326(f326(f308(x97032),f428(x97031,x97032)),f188(f939(x97032,a927))))))
% 198.08/197.85 [6792]~P92(x67922)+E(x67921,f2(x67922))+~E(f326(f326(f79(x67922),x67923),x67921),f2(x67922))+~P1(f326(f326(f234(x67922),f2(x67922)),x67923))+~P1(f326(f326(f234(x67922),f2(x67922)),x67921))
% 198.08/197.85 [6793]~P92(x67932)+E(x67931,f2(x67932))+~E(f326(f326(f79(x67932),x67931),x67933),f2(x67932))+~P1(f326(f326(f234(x67932),f2(x67932)),x67933))+~P1(f326(f326(f234(x67932),f2(x67932)),x67931))
% 198.08/197.85 [7326]~P111(x73262)+~P15(x73262,x73261)+E(x73261,f113(x73262))+~P1(f326(f326(f328(x73262),x73263),f326(f172(x73262),f719(x73261,x73262))))+P1(f326(f326(f234(x73262),f739(x73261,x73262)),x73263))
% 198.08/197.85 [7497]~P111(x74971)+E(f16(x74971,x74972),x74973)+~P1(f326(f61(x74971),x74972))+~P1(f326(f326(f234(x74971),x74973),f385(x74973,x74972,x74971)))+~P1(f326(f326(f328(x74971),x74973),x74972))
% 198.08/197.85 [7533]~P111(x75331)+~P15(x75331,x75332)+~P15(x75331,x75333)+P15(x75331,f326(f326(f134(x75331),x75332),x75333))+P1(f326(f326(f328(x75331),f726(x75333,x75332,x75331)),f326(f172(x75331),x75332)))
% 198.08/197.85 [7534]~P111(x75341)+~P15(x75341,x75342)+~P15(x75341,x75343)+P15(x75341,f326(f326(f134(x75341),x75342),x75343))+P1(f326(f326(f328(x75341),f727(x75343,x75342,x75341)),f326(f172(x75341),x75343)))
% 198.08/197.85 [7595]~P111(x75951)+E(f16(x75951,x75952),x75953)+~P1(f326(f61(x75951),x75952))+P1(f326(f326(f328(x75951),f385(x75953,x75952,x75951)),x75952))+~P1(f326(f326(f328(x75951),x75953),x75952))
% 198.08/197.85 [7596]~P111(x75961)+E(f17(x75961,x75962),x75963)+~P1(f326(f61(x75961),x75962))+P1(f326(f326(f328(x75961),f614(x75963,x75962,x75961)),x75962))+~P1(f326(f326(f328(x75961),x75963),x75962))
% 198.08/197.85 [8180]~P111(x81801)+E(f17(x81801,x81802),x81803)+~P1(f326(f61(x81801),x81802))+~P1(f326(f326(f328(x81801),x81803),x81802))+~P1(f326(f326(f234(x81801),f614(x81803,x81802,x81801)),x81803))
% 198.08/197.85 [8501]~P111(x85011)+~P15(x85011,x85012)+~P15(x85011,x85013)+P15(x85011,f326(f326(f134(x85011),x85012),x85013))+~P1(f326(f326(f234(x85011),f726(x85013,x85012,x85011)),f727(x85013,x85012,x85011)))
% 198.08/197.85 [9293]~P3(x92932)+E(x92931,f188(f939(x92932,a927)))+~E(f326(f326(f110(x92932),f326(x92933,f531(x92931,x92933,x92932))),f326(x92933,f537(x92931,x92933,x92932))),f326(x92933,f326(f326(f110(x92932),f531(x92931,x92933,x92932)),f537(x92931,x92933,x92932))))+E(f12(x92932,f326(f309(x92932,x92932,x92933),x92931)),f326(x92933,f12(x92932,x92931)))+~P1(f326(f61(x92932),x92931))
% 198.08/197.85 [9294]~P3(x92942)+E(x92941,f188(f939(x92942,a927)))+~E(f326(f326(f101(x92942),f326(x92943,f532(x92941,x92943,x92942))),f326(x92943,f536(x92941,x92943,x92942))),f326(x92943,f326(f326(f101(x92942),f532(x92941,x92943,x92942)),f536(x92941,x92943,x92942))))+E(f13(x92942,f326(f309(x92942,x92942,x92943),x92941)),f326(x92943,f13(x92942,x92941)))+~P1(f326(f61(x92942),x92941))
% 198.08/197.85 [9295]~P111(x92952)+E(x92951,f188(f939(x92952,a927)))+~E(f326(f326(f232(x92952),f326(x92953,f533(x92951,x92953,x92952))),f326(x92953,f535(x92951,x92953,x92952))),f326(x92953,f326(f326(f232(x92952),f533(x92951,x92953,x92952)),f535(x92951,x92953,x92952))))+E(f16(x92952,f326(f309(x92952,x92952,x92953),x92951)),f326(x92953,f16(x92952,x92951)))+~P1(f326(f61(x92952),x92951))
% 198.08/197.85 [9296]~P111(x92962)+E(x92961,f188(f939(x92962,a927)))+~E(f326(f326(f233(x92962),f326(x92963,f526(x92961,x92963,x92962))),f326(x92963,f534(x92961,x92963,x92962))),f326(x92963,f326(f326(f233(x92962),f526(x92961,x92963,x92962)),f534(x92961,x92963,x92962))))+E(f17(x92962,f326(f309(x92962,x92962,x92963),x92961)),f326(x92963,f17(x92962,x92961)))+~P1(f326(f61(x92962),x92961))
% 198.08/197.85 [9364]~P111(x93642)+E(x93641,f188(f939(x93642,a927)))+~E(f326(f326(f232(x93642),f326(x93643,f527(x93641,x93643,x93642))),f326(x93643,f529(x93641,x93643,x93642))),f326(x93643,f326(f326(f232(x93642),f527(x93641,x93643,x93642)),f529(x93641,x93643,x93642))))+E(f14(x93642,f232(x93642),f326(f309(x93642,x93642,x93643),x93641)),f326(x93643,f14(x93642,f232(x93642),x93641)))+~P1(f326(f61(x93642),x93641))
% 198.08/197.85 [9365]~P111(x93652)+E(x93651,f188(f939(x93652,a927)))+~E(f326(f326(f233(x93652),f326(x93653,f506(x93651,x93653,x93652))),f326(x93653,f507(x93651,x93653,x93652))),f326(x93653,f326(f326(f233(x93652),f506(x93651,x93653,x93652)),f507(x93651,x93653,x93652))))+E(f15(x93652,f233(x93652),f326(f309(x93652,x93652,x93653),x93651)),f326(x93653,f15(x93652,f233(x93652),x93651)))+~P1(f326(f61(x93652),x93651))
% 198.08/197.85 [6809]~P73(x68092)+E(x68091,f188(f939(x68092,a927)))+~P1(f326(f61(x68092),x68091))+E(f326(f63(x68092,f80(x68092)),f326(f326(f308(x68092),x68093),x68091)),f326(f326(f80(x68092),x68093),f326(f63(x68092,f80(x68092)),x68091)))+P1(f326(f326(f328(x68092),x68093),x68091))
% 198.08/197.85 [7332]~P3(x73322)+E(f326(f326(f110(x73322),f12(x73322,x73321)),f12(x73322,x73323)),f12(x73322,x73323))+E(x73321,f188(f939(x73322,a927)))+~P1(f326(f61(x73322),x73323))+~P1(f326(f326(f234(f939(x73322,a927)),x73321),x73323))
% 198.08/197.85 [7333]~P3(x73332)+E(f326(f326(f101(x73332),f13(x73332,x73331)),f13(x73332,x73333)),f13(x73332,x73333))+E(x73331,f188(f939(x73332,a927)))+~P1(f326(f61(x73332),x73333))+~P1(f326(f326(f234(f939(x73332,a927)),x73331),x73333))
% 198.08/197.85 [7334]~P111(x73342)+E(f326(f326(f232(x73342),f16(x73342,x73341)),f16(x73342,x73343)),f16(x73342,x73343))+E(x73341,f188(f939(x73342,a927)))+~P1(f326(f61(x73342),x73343))+~P1(f326(f326(f234(f939(x73342,a927)),x73341),x73343))
% 198.08/197.85 [7335]~P111(x73352)+E(f326(f326(f233(x73352),f17(x73352,x73351)),f17(x73352,x73353)),f17(x73352,x73353))+E(x73351,f188(f939(x73352,a927)))+~P1(f326(f61(x73352),x73353))+~P1(f326(f326(f234(f939(x73352,a927)),x73351),x73353))
% 198.08/197.85 [7647]~P111(x76472)+E(x76471,f188(f939(x76472,a927)))+~P1(f326(f61(x76472),x76473))+P1(f326(f326(f234(x76472),f16(x76472,x76473)),f16(x76472,x76471)))+~P1(f326(f326(f234(f939(x76472,a927)),x76471),x76473))
% 198.08/197.85 [7648]~P111(x76482)+E(x76481,f188(f939(x76482,a927)))+~P1(f326(f61(x76482),x76483))+P1(f326(f326(f234(x76482),f17(x76482,x76481)),f17(x76482,x76483)))+~P1(f326(f326(f234(f939(x76482,a927)),x76481),x76483))
% 198.08/197.85 [7704]~P3(x77041)+E(f12(x77041,x77042),x77043)+~P1(f326(f61(x77041),x77042))+~E(f326(f326(f3(f939(x77041,a927)),x77042),f326(f326(f308(x77041),x77043),f188(f939(x77041,a927)))),f188(f939(x77041,a927)))+~P1(f326(f326(f328(x77041),x77043),x77042))
% 198.08/197.85 [7705]~P3(x77051)+E(f13(x77051,x77052),x77053)+~P1(f326(f61(x77051),x77052))+~E(f326(f326(f3(f939(x77051,a927)),x77052),f326(f326(f308(x77051),x77053),f188(f939(x77051,a927)))),f188(f939(x77051,a927)))+~P1(f326(f326(f328(x77051),x77053),x77052))
% 198.08/197.85 [7706]~P111(x77061)+E(f16(x77061,x77062),x77063)+~P1(f326(f61(x77061),x77062))+~E(f326(f326(f3(f939(x77061,a927)),x77062),f326(f326(f308(x77061),x77063),f188(f939(x77061,a927)))),f188(f939(x77061,a927)))+~P1(f326(f326(f328(x77061),x77063),x77062))
% 198.08/197.85 [7707]~P111(x77071)+E(f17(x77071,x77072),x77073)+~P1(f326(f61(x77071),x77072))+~E(f326(f326(f3(f939(x77071,a927)),x77072),f326(f326(f308(x77071),x77073),f188(f939(x77071,a927)))),f188(f939(x77071,a927)))+~P1(f326(f326(f328(x77071),x77073),x77072))
% 198.08/197.85 [7805]~P111(x78051)+E(f14(x78051,f232(x78051),x78052),x78053)+~P1(f326(f61(x78051),x78052))+~E(f326(f326(f3(f939(x78051,a927)),x78052),f326(f326(f308(x78051),x78053),f188(f939(x78051,a927)))),f188(f939(x78051,a927)))+~P1(f326(f326(f328(x78051),x78053),x78052))
% 198.08/197.85 [7806]~P111(x78061)+E(f15(x78061,f233(x78061),x78062),x78063)+~P1(f326(f61(x78061),x78062))+~E(f326(f326(f3(f939(x78061,a927)),x78062),f326(f326(f308(x78061),x78063),f188(f939(x78061,a927)))),f188(f939(x78061,a927)))+~P1(f326(f326(f328(x78061),x78063),x78062))
% 198.08/197.85 [7841]~P105(x78412)+E(x78411,f188(f939(x78412,a927)))+~P1(f326(f61(x78412),x78411))+~P1(f326(f326(f234(x78412),x78413),f889(x78413,x78411,x78412)))+P1(f326(f326(f234(x78412),x78413),f326(f63(x78412,f101(x78412)),x78411)))
% 198.08/197.85 [7842]~P111(x78422)+E(x78421,f188(f939(x78422,a927)))+~P1(f326(f61(x78422),x78421))+~P1(f326(f326(f234(x78422),x78423),f386(x78423,x78421,x78422)))+P1(f326(f326(f234(x78422),x78423),f326(f63(x78422,f232(x78422)),x78421)))
% 198.08/197.85 [7843]~P111(x78432)+E(x78431,f188(f939(x78432,a927)))+~P1(f326(f61(x78432),x78431))+~P1(f326(f326(f235(x78432),x78433),f388(x78433,x78431,x78432)))+P1(f326(f326(f235(x78432),x78433),f326(f63(x78432,f232(x78432)),x78431)))
% 198.08/197.85 [7930]~P105(x79302)+E(x79301,f188(f939(x79302,a927)))+~P1(f326(f61(x79302),x79301))+P1(f326(f326(f328(x79302),f889(x79303,x79301,x79302)),x79301))+P1(f326(f326(f234(x79302),x79303),f326(f63(x79302,f101(x79302)),x79301)))
% 198.08/197.85 [7931]~P111(x79312)+E(x79311,f188(f939(x79312,a927)))+~P1(f326(f61(x79312),x79311))+P1(f326(f326(f328(x79312),f386(x79313,x79311,x79312)),x79311))+P1(f326(f326(f234(x79312),x79313),f326(f63(x79312,f232(x79312)),x79311)))
% 198.08/197.85 [7932]~P111(x79322)+E(x79321,f188(f939(x79322,a927)))+~P1(f326(f61(x79322),x79321))+P1(f326(f326(f328(x79322),f388(x79323,x79321,x79322)),x79321))+P1(f326(f326(f235(x79322),x79323),f326(f63(x79322,f232(x79322)),x79321)))
% 198.08/197.85 [8051]~P111(x80512)+E(x80511,f188(f939(x80512,a927)))+E(f326(f326(f232(x80512),f14(x80512,f232(x80512),x80511)),f14(x80512,f232(x80512),x80513)),f14(x80512,f232(x80512),x80513))+~P1(f326(f61(x80512),x80513))+~P1(f326(f326(f234(f939(x80512,a927)),x80511),x80513))
% 198.08/197.85 [8052]~P111(x80522)+E(x80521,f188(f939(x80522,a927)))+E(f326(f326(f233(x80522),f15(x80522,f233(x80522),x80521)),f15(x80522,f233(x80522),x80523)),f15(x80522,f233(x80522),x80523))+~P1(f326(f61(x80522),x80523))+~P1(f326(f326(f234(f939(x80522,a927)),x80521),x80523))
% 198.08/197.85 [8259]~E(f345(x82591,x82593,x82592),f346(x82591,x82593,x82592))+~E(f326(f35(x82592),f347(x82591,x82593,x82592)),x82591)+E(f326(f326(f80(a931),x82591),f326(f35(f939(x82592,a927)),x82593)),f326(f35(x82592),f37(f939(x82592,a927),x82593)))+~P1(f326(f61(x82592),f37(f939(x82592,a927),x82593)))+~P1(f326(f61(f939(x82592,a927)),x82593))
% 198.08/197.85 [8441]~P111(x84412)+E(x84411,f188(f939(x84412,a927)))+~P1(f326(f61(x84412),x84413))+P1(f326(f326(f234(x84412),f326(f63(x84412,f232(x84412)),x84413)),f326(f63(x84412,f232(x84412)),x84411)))+~P1(f326(f326(f234(f939(x84412,a927)),x84411),x84413))
% 198.08/197.85 [8739]~E(f345(x87391,x87393,x87392),f346(x87391,x87393,x87392))+E(f326(f326(f80(a931),x87391),f326(f35(f939(x87392,a927)),x87393)),f326(f35(x87392),f37(f939(x87392,a927),x87393)))+P1(f326(f326(f328(f939(x87392,a927)),f347(x87391,x87393,x87392)),x87393))+~P1(f326(f61(x87392),f37(f939(x87392,a927),x87393)))+~P1(f326(f61(f939(x87392,a927)),x87393))
% 198.08/197.85 [8765]~E(f326(f35(x87652),f347(x87651,x87653,x87652)),x87651)+E(f326(f326(f80(a931),x87651),f326(f35(f939(x87652,a927)),x87653)),f326(f35(x87652),f37(f939(x87652,a927),x87653)))+P1(f326(f326(f328(f939(x87652,a927)),f346(x87651,x87653,x87652)),x87653))+~P1(f326(f61(x87652),f37(f939(x87652,a927),x87653)))+~P1(f326(f61(f939(x87652,a927)),x87653))
% 198.08/197.85 [8766]~E(f326(f35(x87662),f347(x87661,x87663,x87662)),x87661)+E(f326(f326(f80(a931),x87661),f326(f35(f939(x87662,a927)),x87663)),f326(f35(x87662),f37(f939(x87662,a927),x87663)))+P1(f326(f326(f328(f939(x87662,a927)),f345(x87661,x87663,x87662)),x87663))+~P1(f326(f61(x87662),f37(f939(x87662,a927),x87663)))+~P1(f326(f61(f939(x87662,a927)),x87663))
% 198.08/197.85 [8791]~E(f326(f35(x87912),f347(x87911,x87913,x87912)),x87911)+~E(f326(f326(f101(f939(x87912,a927)),f346(x87911,x87913,x87912)),f345(x87911,x87913,x87912)),f188(f939(x87912,a927)))+E(f326(f326(f80(a931),x87911),f326(f35(f939(x87912,a927)),x87913)),f326(f35(x87912),f37(f939(x87912,a927),x87913)))+~P1(f326(f61(f939(x87912,a927)),x87913))+~P1(f326(f61(x87912),f37(f939(x87912,a927),x87913)))
% 198.08/197.85 [9055]E(f326(f326(f80(a931),x90551),f326(f35(f939(x90552,a927)),x90553)),f326(f35(x90552),f37(f939(x90552,a927),x90553)))+P1(f326(f326(f328(f939(x90552,a927)),f347(x90551,x90553,x90552)),x90553))+P1(f326(f326(f328(f939(x90552,a927)),f346(x90551,x90553,x90552)),x90553))+~P1(f326(f61(f939(x90552,a927)),x90553))+~P1(f326(f61(x90552),f37(f939(x90552,a927),x90553)))
% 198.08/197.85 [9056]E(f326(f326(f80(a931),x90561),f326(f35(f939(x90562,a927)),x90563)),f326(f35(x90562),f37(f939(x90562,a927),x90563)))+P1(f326(f326(f328(f939(x90562,a927)),f347(x90561,x90563,x90562)),x90563))+P1(f326(f326(f328(f939(x90562,a927)),f345(x90561,x90563,x90562)),x90563))+~P1(f326(f61(f939(x90562,a927)),x90563))+~P1(f326(f61(x90562),f37(f939(x90562,a927),x90563)))
% 198.08/197.85 [9082]~E(f326(f326(f101(f939(x90822,a927)),f346(x90821,x90823,x90822)),f345(x90821,x90823,x90822)),f188(f939(x90822,a927)))+E(f326(f326(f80(a931),x90821),f326(f35(f939(x90822,a927)),x90823)),f326(f35(x90822),f37(f939(x90822,a927),x90823)))+~P1(f326(f61(f939(x90822,a927)),x90823))+P1(f326(f326(f328(f939(x90822,a927)),f347(x90821,x90823,x90822)),x90823))+~P1(f326(f61(x90822),f37(f939(x90822,a927),x90823)))
% 198.08/197.85 [9339]~P100(x93392)+E(x93391,f188(f939(x93392,a927)))+~E(f326(f326(f80(x93392),f326(x93393,f538(x93391,x93393,x93392))),f326(x93393,f539(x93391,x93393,x93392))),f326(x93393,f326(f326(f80(x93392),f538(x93391,x93393,x93392)),f539(x93391,x93393,x93392))))+~P1(f326(f61(x93392),x93391))+E(f326(f63(x93392,f80(x93392)),f326(f309(x93392,x93392,x93393),x93391)),f326(x93393,f326(f63(x93392,f80(x93392)),x93391)))
% 198.08/197.85 [10282]P1(f326(f326(x102821,x102822),x102823))+P1(f326(f326(f235(a1),f408(x102821,x102823,x102822)),f410(x102821,x102823,x102822)))+P1(f326(f326(f234(a1),f410(x102821,x102823,x102822)),f2(a1)))+P1(f326(f326(x102821,f408(x102821,x102823,x102822)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f410(x102821,x102823,x102822))))+~P1(f326(f314(f938(a1,a1),a58),f326(f326(f251(a1,a1),x102822),x102823)))
% 198.08/197.85 [10288]P1(f326(f326(x102881,x102882),x102883))+P1(f326(f326(f234(a1),f407(x102881,x102883,x102882)),f2(a1)))+P1(f326(f326(x102881,f406(x102881,x102883,x102882)),f326(f326(f80(a1),f326(f103(a1),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f407(x102881,x102883,x102882))))+P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f406(x102881,x102883,x102882)),f407(x102881,x102883,x102882))))+~P1(f326(f314(f938(a1,a1),a52),f326(f326(f251(a1,a1),x102882),x102883)))
% 198.08/197.85 [8229]~P122(x82291)+~P1(f326(f326(f234(x82291),x82292),f77(x82291)))+~P1(f326(f326(f234(x82291),f2(x82291)),x82292))+~P1(f326(f326(f234(x82291),f2(x82291)),x82293))+P1(f326(f326(f234(x82291),f326(f326(f80(x82291),x82292),x82293)),x82293))
% 198.08/197.85 [8230]~P122(x82301)+~P1(f326(f326(f234(x82301),x82303),f77(x82301)))+~P1(f326(f326(f234(x82301),f2(x82301)),x82303))+~P1(f326(f326(f234(x82301),f2(x82301)),x82302))+P1(f326(f326(f234(x82301),f326(f326(f80(x82301),x82302),x82303)),x82302))
% 198.08/197.85 [8586]~P111(x85862)+E(x85861,f188(f939(x85862,a927)))+~P1(f326(f61(x85862),x85861))+P1(f326(f326(f328(x85862),f387(x85863,x85861,x85862)),x85861))+~P1(f326(f326(f234(x85862),f326(f63(x85862,f232(x85862)),x85861)),x85863))
% 198.08/197.85 [8587]~P111(x85872)+E(x85871,f188(f939(x85872,a927)))+~P1(f326(f61(x85872),x85871))+P1(f326(f326(f328(x85872),f389(x85873,x85871,x85872)),x85871))+~P1(f326(f326(f235(x85872),f326(f63(x85872,f232(x85872)),x85871)),x85873))
% 198.08/197.85 [8588]~P111(x85882)+E(x85881,f188(f939(x85882,a927)))+~P1(f326(f61(x85882),x85881))+P1(f326(f326(f234(x85882),f387(x85883,x85881,x85882)),x85883))+~P1(f326(f326(f234(x85882),f326(f63(x85882,f232(x85882)),x85881)),x85883))
% 198.08/197.85 [8589]~P111(x85892)+E(x85891,f188(f939(x85892,a927)))+~P1(f326(f61(x85892),x85891))+P1(f326(f326(f235(x85892),f389(x85893,x85891,x85892)),x85893))+~P1(f326(f326(f235(x85892),f326(f63(x85892,f232(x85892)),x85891)),x85893))
% 198.08/197.85 [8675]~P1(f326(x86751,x86753))+P1(f326(x86751,f467(x86751,x86752)))+P1(f326(x86751,f455(x86751,x86752)))+~P1(f326(f326(f235(a1),f2(a1)),x86752))+P1(f326(x86751,f326(f326(f3(a1),f455(x86751,x86752)),f326(f326(f80(a1),f468(x86751,x86752)),x86752))))
% 198.08/197.85 [8892]~P1(f326(x88921,x88923))+P1(f326(x88921,f455(x88921,x88922)))+~P1(f326(f326(f235(a1),f2(a1)),x88922))+P1(f326(f326(f328(a1),f467(x88921,x88922)),f302(a1,f77(a1),x88922)))+P1(f326(x88921,f326(f326(f3(a1),f455(x88921,x88922)),f326(f326(f80(a1),f468(x88921,x88922)),x88922))))
% 198.08/197.85 [9105]~P1(f326(x91051,x91053))+~P1(f326(x91051,f455(x91051,x91052)))+P1(f326(x91051,f467(x91051,x91052)))+~P1(f326(f326(f235(a1),f2(a1)),x91052))+~P1(f326(x91051,f326(f326(f3(a1),f455(x91051,x91052)),f326(f326(f80(a1),f468(x91051,x91052)),x91052))))
% 198.08/197.85 [9230]~P1(f326(x92301,x92303))+~P1(f326(x92301,f455(x92301,x92302)))+~P1(f326(f326(f235(a1),f2(a1)),x92302))+P1(f326(f326(f328(a1),f467(x92301,x92302)),f302(a1,f77(a1),x92302)))+~P1(f326(x92301,f326(f326(f3(a1),f455(x92301,x92302)),f326(f326(f80(a1),f468(x92301,x92302)),x92302))))
% 198.08/197.85 [9010]~P3(x90101)+~P1(f326(f61(x90101),x90102))+E(f326(f326(f3(f939(x90101,a927)),x90102),f326(f326(f308(x90101),x90103),f188(f939(x90101,a927)))),f188(f939(x90101,a927)))+~P1(f326(f326(f328(x90101),x90103),x90102))+E(f326(f326(f110(x90101),x90103),f12(x90101,f326(f326(f3(f939(x90101,a927)),x90102),f326(f326(f308(x90101),x90103),f188(f939(x90101,a927)))))),f12(x90101,x90102))
% 198.08/197.85 [9011]~P3(x90111)+~P1(f326(f61(x90111),x90112))+E(f326(f326(f3(f939(x90111,a927)),x90112),f326(f326(f308(x90111),x90113),f188(f939(x90111,a927)))),f188(f939(x90111,a927)))+~P1(f326(f326(f328(x90111),x90113),x90112))+E(f326(f326(f101(x90111),x90113),f13(x90111,f326(f326(f3(f939(x90111,a927)),x90112),f326(f326(f308(x90111),x90113),f188(f939(x90111,a927)))))),f13(x90111,x90112))
% 198.08/197.85 [9012]~P111(x90121)+~P1(f326(f61(x90121),x90122))+E(f326(f326(f3(f939(x90121,a927)),x90122),f326(f326(f308(x90121),x90123),f188(f939(x90121,a927)))),f188(f939(x90121,a927)))+~P1(f326(f326(f328(x90121),x90123),x90122))+E(f326(f326(f232(x90121),x90123),f16(x90121,f326(f326(f3(f939(x90121,a927)),x90122),f326(f326(f308(x90121),x90123),f188(f939(x90121,a927)))))),f16(x90121,x90122))
% 198.08/197.85 [9013]~P111(x90131)+~P1(f326(f61(x90131),x90132))+E(f326(f326(f3(f939(x90131,a927)),x90132),f326(f326(f308(x90131),x90133),f188(f939(x90131,a927)))),f188(f939(x90131,a927)))+~P1(f326(f326(f328(x90131),x90133),x90132))+E(f326(f326(f233(x90131),x90133),f17(x90131,f326(f326(f3(f939(x90131,a927)),x90132),f326(f326(f308(x90131),x90133),f188(f939(x90131,a927)))))),f17(x90131,x90132))
% 198.08/197.85 [9075]~P111(x90751)+~P1(f326(f61(x90751),x90752))+E(f326(f326(f3(f939(x90751,a927)),x90752),f326(f326(f308(x90751),x90753),f188(f939(x90751,a927)))),f188(f939(x90751,a927)))+~P1(f326(f326(f328(x90751),x90753),x90752))+E(f326(f326(f232(x90751),x90753),f14(x90751,f232(x90751),f326(f326(f3(f939(x90751,a927)),x90752),f326(f326(f308(x90751),x90753),f188(f939(x90751,a927)))))),f14(x90751,f232(x90751),x90752))
% 198.08/197.85 [9076]~P111(x90761)+~P1(f326(f61(x90761),x90762))+E(f326(f326(f3(f939(x90761,a927)),x90762),f326(f326(f308(x90761),x90763),f188(f939(x90761,a927)))),f188(f939(x90761,a927)))+~P1(f326(f326(f328(x90761),x90763),x90762))+E(f326(f326(f233(x90761),x90763),f15(x90761,f233(x90761),f326(f326(f3(f939(x90761,a927)),x90762),f326(f326(f308(x90761),x90763),f188(f939(x90761,a927)))))),f15(x90761,f233(x90761),x90762))
% 198.08/197.85 [9092]~P3(x90921)+~P1(f326(f61(x90921),x90923))+~P1(f326(f61(x90921),x90922))+E(f326(f326(f101(f939(x90921,a927)),x90922),x90923),f188(f939(x90921,a927)))+E(f326(f326(f110(x90921),f12(x90921,f326(f326(f110(f939(x90921,a927)),x90922),x90923))),f12(x90921,f326(f326(f101(f939(x90921,a927)),x90922),x90923))),f326(f326(f110(x90921),f12(x90921,x90922)),f12(x90921,x90923)))
% 198.08/197.85 [9093]~P3(x90931)+~P1(f326(f61(x90931),x90933))+~P1(f326(f61(x90931),x90932))+E(f326(f326(f101(f939(x90931,a927)),x90932),x90933),f188(f939(x90931,a927)))+E(f326(f326(f101(x90931),f13(x90931,f326(f326(f110(f939(x90931,a927)),x90932),x90933))),f13(x90931,f326(f326(f101(f939(x90931,a927)),x90932),x90933))),f326(f326(f101(x90931),f13(x90931,x90932)),f13(x90931,x90933)))
% 198.08/197.85 [9094]~P111(x90941)+~P1(f326(f61(x90941),x90943))+~P1(f326(f61(x90941),x90942))+E(f326(f326(f101(f939(x90941,a927)),x90942),x90943),f188(f939(x90941,a927)))+E(f326(f326(f232(x90941),f16(x90941,f326(f326(f110(f939(x90941,a927)),x90942),x90943))),f16(x90941,f326(f326(f101(f939(x90941,a927)),x90942),x90943))),f326(f326(f232(x90941),f16(x90941,x90942)),f16(x90941,x90943)))
% 198.08/197.85 [9095]~P111(x90951)+~P1(f326(f61(x90951),x90953))+~P1(f326(f61(x90951),x90952))+E(f326(f326(f101(f939(x90951,a927)),x90952),x90953),f188(f939(x90951,a927)))+E(f326(f326(f233(x90951),f17(x90951,f326(f326(f110(f939(x90951,a927)),x90952),x90953))),f17(x90951,f326(f326(f101(f939(x90951,a927)),x90952),x90953))),f326(f326(f233(x90951),f17(x90951,x90952)),f17(x90951,x90953)))
% 198.08/197.85 [9311]~P111(x93111)+~P1(f326(f61(x93111),x93113))+~P1(f326(f61(x93111),x93112))+E(f326(f326(f101(f939(x93111,a927)),x93112),x93113),f188(f939(x93111,a927)))+E(f326(f326(f232(x93111),f14(x93111,f232(x93111),f326(f326(f110(f939(x93111,a927)),x93112),x93113))),f14(x93111,f232(x93111),f326(f326(f101(f939(x93111,a927)),x93112),x93113))),f326(f326(f232(x93111),f14(x93111,f232(x93111),x93112)),f14(x93111,f232(x93111),x93113)))
% 198.08/197.85 [9312]~P111(x93121)+~P1(f326(f61(x93121),x93123))+~P1(f326(f61(x93121),x93122))+E(f326(f326(f101(f939(x93121,a927)),x93122),x93123),f188(f939(x93121,a927)))+E(f326(f326(f233(x93121),f15(x93121,f233(x93121),f326(f326(f110(f939(x93121,a927)),x93122),x93123))),f15(x93121,f233(x93121),f326(f326(f101(f939(x93121,a927)),x93122),x93123))),f326(f326(f233(x93121),f15(x93121,f233(x93121),x93122)),f15(x93121,f233(x93121),x93123)))
% 198.08/197.85 [10119]~P114(x101193)+E(x101191,x101192)+~P1(f326(f326(f234(x101193),f2(x101193)),x101192))+~P1(f326(f326(f234(x101193),f2(x101193)),x101191))+~E(f326(f326(f243(x101193),x101191),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))),f326(f326(f243(x101193),x101192),f326(f103(a931),f326(f326(f79(a1),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)),f326(f326(f3(a1),f326(f326(f79(a1),a82),a82)),a97)))))
% 198.08/197.85 [6137]~P65(x61372)+E(x61371,f2(x61372))+~E(f326(f326(f36(x61372),x61373),x61371),x61374)+E(x61373,f326(f326(f80(x61372),x61374),x61371))+~P1(f326(f326(f286(x61372),x61371),x61373))
% 198.08/197.85 [6138]~P65(x61382)+E(x61381,f2(x61382))+~E(x61383,f326(f326(f80(x61382),x61384),x61381))+E(f326(f326(f36(x61382),x61383),x61381),x61384)+~P1(f326(f326(f286(x61382),x61381),x61383))
% 198.08/197.85 [6605]E(f862(x66051,x66052,x66053),x66054)+E(f326(x66051,x66054),f2(a931))+~E(f326(f326(f8(x66053,a931),x66051),x66052),f77(a931))+~P1(f326(f61(x66053),x66052))+~P1(f326(f326(f328(x66053),x66054),x66052))
% 198.08/197.85 [6668]E(f874(x66681,x66682,x66683),x66684)+E(f326(x66681,x66684),f2(a931))+~E(f326(f326(f8(x66683,a931),x66681),x66682),f326(a112,f2(a931)))+~P1(f326(f61(x66683),x66682))+~P1(f326(f326(f328(x66683),x66684),x66682))
% 198.08/197.85 [6778]~P111(x67781)+~P7(x67781)+P1(f326(f326(f235(x67781),x67782),f37(x67781,x67783)))+~P1(f326(f326(f235(x67781),x67782),x67784))+~P1(f326(f326(f328(x67781),x67784),x67783))
% 198.08/197.85 [6950]~P111(x69501)+~P7(x69501)+~P1(f326(f326(f235(x69501),x69504),x69503))+P1(f326(f326(f235(x69501),f38(x69501,x69502)),x69503))+~P1(f326(f326(f328(x69501),x69504),x69502))
% 198.08/197.85 [7210]~P114(x72103)+E(x72101,x72102)+~E(f326(f326(f243(x72103),x72101),f326(a112,x72104)),f326(f326(f243(x72103),x72102),f326(a112,x72104)))+~P1(f326(f326(f234(x72103),f2(x72103)),x72102))+~P1(f326(f326(f234(x72103),f2(x72103)),x72101))
% 198.08/197.85 [7423]~E(f888(x74232,x74233,x74231,x74234),x74234)+~E(f326(x74232,x74234),f77(a931))+E(f326(f326(f8(x74231,a931),x74232),x74233),f77(a931))+~P1(f326(f61(x74231),x74233))+~P1(f326(f326(f328(x74231),x74234),x74233))
% 198.08/197.85 [7430]~P115(x74304)+~P135(x74304)+E(f326(x74301,f840(x74301,x74302,x74303,x74304)),f2(x74304))+~E(f326(f326(f11(x74303,x74304),x74301),x74302),f2(x74304))+~P1(f326(f61(x74303),x74302))
% 198.08/197.85 [7520]~E(f886(x75202,x75203,x75201,x75204),x75204)+~E(f326(x75202,x75204),f326(a112,f2(a931)))+E(f326(f326(f8(x75201,a931),x75202),x75203),f326(a112,f2(a931)))+~P1(f326(f61(x75201),x75203))+~P1(f326(f326(f328(x75201),x75204),x75203))
% 198.08/197.85 [8271]~E(f326(x82712,x82714),f77(a931))+~E(f326(x82712,f888(x82712,x82713,x82711,x82714)),f2(a931))+E(f326(f326(f8(x82711,a931),x82712),x82713),f77(a931))+~P1(f326(f61(x82711),x82713))+~P1(f326(f326(f328(x82711),x82714),x82713))
% 198.08/197.85 [8310]~E(f326(x83102,x83104),f326(a112,f2(a931)))+~E(f326(x83102,f886(x83102,x83103,x83101,x83104)),f2(a931))+E(f326(f326(f8(x83101,a931),x83102),x83103),f326(a112,f2(a931)))+~P1(f326(f61(x83101),x83103))+~P1(f326(f326(f328(x83101),x83104),x83103))
% 198.08/197.85 [8398]~P149(x83982)+~P125(x83982)+~P1(f326(x83981,x83984))+~P1(f326(f326(f286(x83982),x83983),f326(f326(f79(x83982),x83984),f2(x83982))))+P1(f326(x83981,f326(f326(f80(x83982),x83983),f870(x83983,x83981,x83982))))
% 198.08/197.85 [8859]~P111(x88591)+~P15(x88591,x88594)+P15(x88591,x88592)+~E(x88592,f326(f326(f151(x88591),x88593),x88594))+~P1(f326(f326(f234(x88591),x88593),f740(x88592,x88591,x88594,x88593)))
% 198.08/197.85 [8896]E(x88961,x88962)+E(f326(f326(f3(a1),f459(x88963,x88962,x88964,x88961)),f460(x88963,x88962,x88964,x88961)),x88961)+~E(f326(f326(f79(a1),x88961),x88964),x88962)+~P1(f326(f326(f235(a1),f2(a1)),x88964))+~P1(f326(f326(f328(a1),x88962),x88963))
% 198.08/197.85 [8897]E(x88971,x88972)+E(f326(f326(f79(a1),f461(x88973,x88972,x88974,x88971)),f462(x88973,x88972,x88974,x88971)),x88971)+~E(f326(f326(f3(a1),x88971),x88974),x88972)+~P1(f326(f326(f235(a1),f2(a1)),x88974))+~P1(f326(f326(f328(a1),x88972),x88973))
% 198.08/197.85 [9090]E(f326(x90901,f377(x90902,x90901,x90903,x90904)),x90902)+P1(f326(f326(f234(a931),x90904),f378(x90902,x90901,x90903,x90904)))+~P1(f326(f326(f234(a1),x90902),f326(x90901,x90903)))+~P1(f326(f326(f235(a931),x90904),x90903))+~P1(f326(f326(f234(a1),f326(x90901,x90904)),x90902))
% 198.08/197.85 [9091]~P111(x90911)+~P15(x90911,x90913)+P15(x90911,x90912)+~E(x90912,f326(f326(f151(x90911),x90914),x90913))+P1(f326(f326(f328(x90911),f740(x90912,x90911,x90913,x90914)),f326(f172(x90911),x90913)))
% 198.08/197.85 [9109]~P115(x91094)+~P135(x91094)+~E(f326(f326(f11(x91091,x91094),x91092),x91093),f2(x91094))+~P1(f326(f61(x91091),x91093))+P1(f326(f326(f328(x91091),f840(x91092,x91093,x91091,x91094)),x91093))
% 198.08/197.85 [9147]~E(f326(x91472,x91474),f77(a931))+E(f326(f326(f8(x91471,a931),x91472),x91473),f77(a931))+~P1(f326(f61(x91471),x91473))+~P1(f326(f326(f328(x91471),x91474),x91473))+P1(f326(f326(f328(x91471),f888(x91472,x91473,x91471,x91474)),x91473))
% 198.08/197.85 [9159]E(x91591,x91592)+~E(f326(f326(f79(a1),x91592),x91594),x91591)+~P1(f326(f326(f235(a1),f2(a1)),x91594))+~P1(f326(f326(f328(a1),x91591),x91593))+P1(f326(f326(f328(a1),f459(x91593,x91591,x91594,x91592)),x91593))
% 198.08/197.85 [9160]E(x91601,x91602)+~E(f326(f326(f3(a1),x91602),x91604),x91601)+~P1(f326(f326(f235(a1),f2(a1)),x91604))+~P1(f326(f326(f328(a1),x91601),x91603))+P1(f326(f326(f328(a1),f461(x91603,x91601,x91604,x91602)),x91603))
% 198.08/197.85 [9162]~E(f326(x91622,x91624),f326(a112,f2(a931)))+E(f326(f326(f8(x91621,a931),x91622),x91623),f326(a112,f2(a931)))+~P1(f326(f61(x91621),x91623))+~P1(f326(f326(f328(x91621),x91624),x91623))+P1(f326(f326(f328(x91621),f886(x91622,x91623,x91621,x91624)),x91623))
% 198.08/197.85 [9167]P63(x91672,x91673,x91674,x91671)+E(x91671,f188(f939(x91672,a927)))+~P1(f326(f61(x91672),x91674))+~P1(f326(f61(x91672),x91671))+P1(f326(f326(f328(x91672),f808(x91673,x91671,x91674,x91672)),x91674))
% 198.08/197.85 [9168]P63(x91682,x91683,x91684,x91681)+E(x91681,f188(f939(x91682,a927)))+~P1(f326(f61(x91682),x91684))+~P1(f326(f61(x91682),x91681))+P1(f326(f326(f328(x91682),f543(x91681,x91684,x91683,x91682)),x91684))
% 198.08/197.85 [9169]P63(x91692,x91693,x91694,x91691)+E(x91691,f188(f939(x91692,a927)))+~P1(f326(f61(x91692),x91694))+~P1(f326(f61(x91692),x91691))+P1(f326(f326(f328(x91692),f810(x91691,x91694,x91693,x91692)),x91694))
% 198.08/197.85 [9243]E(x92431,x92432)+~E(f326(f326(f79(a1),x92432),x92434),x92431)+~P1(f326(f326(f235(a1),f2(a1)),x92434))+~P1(f326(f326(f328(a1),x92431),x92433))+P1(f326(f326(f328(a1),f460(x92433,x92431,x92434,x92432)),f302(a1,f77(a1),x92434)))
% 198.08/197.85 [9244]E(x92441,x92442)+~E(f326(f326(f3(a1),x92442),x92444),x92441)+~P1(f326(f326(f235(a1),f2(a1)),x92444))+~P1(f326(f326(f328(a1),x92441),x92443))+P1(f326(f326(f328(a1),f462(x92443,x92441,x92444,x92442)),f302(a1,f77(a1),x92444)))
% 198.08/197.85 [9317]P1(f326(f326(f234(a931),x93171),f377(x93172,x93173,x93174,x93171)))+~P1(f326(f326(f234(a1),x93172),f326(x93173,x93174)))+P1(f326(f326(f234(a931),x93171),f378(x93172,x93173,x93174,x93171)))+~P1(f326(f326(f235(a931),x93171),x93174))+~P1(f326(f326(f234(a1),f326(x93173,x93171)),x93172))
% 198.08/197.85 [9439]E(f326(x94391,f377(x94392,x94391,x94393,x94394)),x94392)+~P1(f326(f326(f234(a1),x94392),f326(x94391,x94393)))+P1(f326(f326(f235(a931),f378(x94392,x94391,x94393,x94394)),x94393))+~P1(f326(f326(f235(a931),x94394),x94393))+~P1(f326(f326(f234(a1),f326(x94391,x94394)),x94392))
% 198.08/197.85 [9568]~P1(f326(f326(f234(a1),x95682),f326(x95683,x95684)))+P1(f326(f326(f234(a931),x95681),f378(x95682,x95683,x95684,x95681)))+P1(f326(f326(f234(a931),f377(x95682,x95683,x95684,x95681)),x95684))+~P1(f326(f326(f235(a931),x95681),x95684))+~P1(f326(f326(f234(a1),f326(x95683,x95681)),x95682))
% 198.08/197.85 [9569]~P1(f326(f326(f234(a1),x95692),f326(x95693,x95694)))+P1(f326(f326(f234(a931),x95691),f377(x95692,x95693,x95694,x95691)))+P1(f326(f326(f235(a931),f378(x95692,x95693,x95694,x95691)),x95694))+~P1(f326(f326(f235(a931),x95691),x95694))+~P1(f326(f326(f234(a1),f326(x95693,x95691)),x95692))
% 198.08/197.85 [9677]~P1(f326(f326(f234(a1),x96771),f326(x96772,x96773)))+P1(f326(f326(f235(a931),f378(x96771,x96772,x96773,x96774)),x96773))+~P1(f326(f326(f235(a931),x96774),x96773))+~P1(f326(f326(f234(a1),f326(x96772,x96774)),x96771))+P1(f326(f326(f234(a931),f377(x96771,x96772,x96773,x96774)),x96773))
% 198.08/197.85 [9764]E(x97641,f188(f939(x97642,a927)))+~P1(f326(f61(x97642),x97644))+~P1(f326(f61(x97642),x97641))+P1(f326(f326(f328(f938(f939(x97642,a927),f939(x97642,a927))),f326(f326(f251(f939(x97642,a927),f939(x97642,a927)),x97644),x97641)),f318(x97642,x97643)))+P1(f326(f326(f328(x97642),f547(x97643,x97641,x97644,x97642)),x97644))
% 198.08/197.85 [9765]E(x97651,f188(f939(x97652,a927)))+~P1(f326(f61(x97652),x97654))+~P1(f326(f61(x97652),x97651))+P1(f326(f326(f328(f938(f939(x97652,a927),f939(x97652,a927))),f326(f326(f251(f939(x97652,a927),f939(x97652,a927)),x97654),x97651)),f318(x97652,x97653)))+P1(f326(f326(f328(x97652),f619(x97653,x97651,x97654,x97652)),x97654))
% 198.08/197.85 [10441]E(f326(x104411,f377(x104412,x104411,x104413,x104414)),x104412)+~P1(f326(f326(f234(a1),x104412),f326(x104411,x104413)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x104411,f326(f326(f79(a931),f378(x104412,x104411,x104413,x104414)),f77(a931)))),f326(x104411,f378(x104412,x104411,x104413,x104414))))),f77(a1)))+~P1(f326(f326(f235(a931),x104414),x104413))+~P1(f326(f326(f234(a1),f326(x104411,x104414)),x104412))
% 198.08/197.85 [10442]~P1(f326(f326(f234(a1),x104422),f326(x104423,x104424)))+P1(f326(f326(f234(a931),x104421),f377(x104422,x104423,x104424,x104421)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x104423,f326(f326(f79(a931),f378(x104422,x104423,x104424,x104421)),f77(a931)))),f326(x104423,f378(x104422,x104423,x104424,x104421))))),f77(a1)))+~P1(f326(f326(f235(a931),x104421),x104424))+~P1(f326(f326(f234(a1),f326(x104423,x104421)),x104422))
% 198.08/197.85 [10443]~P1(f326(f326(f234(a1),x104431),f326(x104432,x104433)))+~P1(f326(f326(f234(a1),f326(f75(a1),f326(f326(f3(a1),f326(x104432,f326(f326(f79(a931),f378(x104431,x104432,x104433,x104434)),f77(a931)))),f326(x104432,f378(x104431,x104432,x104433,x104434))))),f77(a1)))+~P1(f326(f326(f235(a931),x104434),x104433))+~P1(f326(f326(f234(a1),f326(x104432,x104434)),x104431))+P1(f326(f326(f234(a931),f377(x104431,x104432,x104433,x104434)),x104433))
% 198.08/197.85 [7483]~P70(x74831)+P1(f326(f326(f235(x74831),x74832),f2(x74831)))+~P1(f326(f326(f234(x74831),x74833),f2(x74831)))+P1(f326(f326(f235(x74831),f2(x74831)),x74832))+P1(f326(f326(f234(x74831),x74833),f326(f326(f290(x74831),x74834),x74832)))
% 198.08/197.85 [7484]~P70(x74841)+P1(f326(f326(f235(x74841),x74842),f2(x74841)))+~P1(f326(f326(f235(x74841),x74843),f2(x74841)))+P1(f326(f326(f235(x74841),f2(x74841)),x74842))+P1(f326(f326(f235(x74841),x74843),f326(f326(f290(x74841),x74844),x74842)))
% 198.08/197.85 [7744]~P70(x77441)+P1(f326(f326(f234(x77441),x77442),f2(x77441)))+P1(f326(f326(f235(x77441),x77443),f2(x77441)))+P1(f326(f326(f235(x77441),f2(x77441)),x77443))+~P1(f326(f326(f234(x77441),x77442),f326(f326(f290(x77441),x77444),x77443)))
% 198.08/197.85 [7745]~P70(x77451)+P1(f326(f326(f235(x77451),x77452),f2(x77451)))+P1(f326(f326(f235(x77451),x77453),f2(x77451)))+P1(f326(f326(f235(x77451),f2(x77451)),x77453))+~P1(f326(f326(f235(x77451),x77452),f326(f326(f290(x77451),x77454),x77453)))
% 198.08/197.85 [7862]E(x78621,x78622)+~E(f326(f326(f164(x78623),x78624),x78621),f326(f326(f164(x78623),x78624),x78622))+~P1(f326(f137(x78623),x78624))+~P1(f326(f326(f235(a931),x78622),f326(f189(f932(x78623)),x78624)))+~P1(f326(f326(f235(a931),x78621),f326(f189(f932(x78623)),x78624)))
% 198.08/197.85 [8231]~P70(x82311)+~P1(f326(f326(f234(x82311),x82313),f2(x82311)))+P1(f326(f326(f235(x82311),f2(x82311)),x82312))+~P1(f326(f326(f234(x82311),x82314),f326(f326(f80(x82311),x82313),x82312)))+P1(f326(f326(f234(x82311),x82313),f326(f326(f290(x82311),x82314),x82312)))
% 198.08/197.85 [8232]~P70(x82321)+~P1(f326(f326(f235(x82321),x82323),f2(x82321)))+P1(f326(f326(f235(x82321),f2(x82321)),x82322))+~P1(f326(f326(f235(x82321),x82324),f326(f326(f80(x82321),x82323),x82322)))+P1(f326(f326(f235(x82321),x82323),f326(f326(f290(x82321),x82324),x82322)))
% 198.08/197.85 [8233]~P70(x82331)+~P1(f326(f326(f235(x82331),x82332),f2(x82331)))+P1(f326(f326(f235(x82331),f2(x82331)),x82332))+~P1(f326(f326(f234(x82331),x82334),f326(f326(f80(x82331),x82333),x82332)))+P1(f326(f326(f234(x82331),x82333),f326(f326(f290(x82331),x82334),x82332)))
% 198.08/197.85 [8234]~P70(x82341)+~P1(f326(f326(f235(x82341),x82342),f2(x82341)))+P1(f326(f326(f235(x82341),f2(x82341)),x82342))+~P1(f326(f326(f234(x82341),x82344),f326(f326(f290(x82341),x82343),x82342)))+P1(f326(f326(f234(x82341),x82343),f326(f326(f80(x82341),x82344),x82342)))
% 198.08/197.85 [8235]~P70(x82351)+~P1(f326(f326(f235(x82351),x82352),f2(x82351)))+P1(f326(f326(f235(x82351),f2(x82351)),x82352))+~P1(f326(f326(f235(x82351),x82354),f326(f326(f80(x82351),x82353),x82352)))+P1(f326(f326(f235(x82351),x82353),f326(f326(f290(x82351),x82354),x82352)))
% 198.08/197.85 [8236]~P70(x82361)+~P1(f326(f326(f235(x82361),x82362),f2(x82361)))+P1(f326(f326(f235(x82361),f2(x82361)),x82362))+~P1(f326(f326(f235(x82361),x82364),f326(f326(f290(x82361),x82363),x82362)))+P1(f326(f326(f235(x82361),x82363),f326(f326(f80(x82361),x82364),x82362)))
% 198.08/197.85 [8379]~P111(x83791)+~P15(x83791,x83792)+~P1(f326(f326(f234(a931),x83793),x83794))+P1(f326(f326(f234(x83791),f326(f326(f164(x83791),x83792),x83793)),f326(f326(f164(x83791),x83792),x83794)))+~P1(f326(f326(f235(a931),x83794),f326(f189(f932(x83791)),x83792)))
% 198.08/197.85 [8432]~P114(x84321)+~P1(f326(f326(f234(x84321),x84322),f77(x84321)))+~P1(f326(f326(f234(x84321),f2(x84321)),x84322))+~P1(f326(f326(f234(a931),x84324),x84323))+P1(f326(f326(f234(x84321),f326(f326(f243(x84321),x84322),x84323)),f326(f326(f243(x84321),x84322),x84324)))
% 198.08/197.85 [8433]~P114(x84331)+~P1(f326(f326(f235(x84331),x84332),f77(x84331)))+~P1(f326(f326(f235(x84331),f2(x84331)),x84332))+~P1(f326(f326(f235(a931),x84334),x84333))+P1(f326(f326(f235(x84331),f326(f326(f243(x84331),x84332),x84333)),f326(f326(f243(x84331),x84332),x84334)))
% 198.08/197.85 [8434]~P114(x84341)+~P1(f326(f326(f234(x84341),f2(x84341)),x84342))+~P1(f326(f326(f235(a931),f2(a931)),x84343))+~P1(f326(f326(f235(x84341),x84342),x84344))+P1(f326(f326(f235(x84341),f326(f326(f243(x84341),x84342),x84343)),f326(f326(f243(x84341),x84344),x84343)))
% 198.08/197.85 [8452]~P111(x84521)+~P15(x84521,f326(f168(x84521),x84522))+~P1(f326(f326(f234(a931),x84524),x84523))+P1(f326(f326(f234(x84521),f326(f326(f164(x84521),x84522),x84523)),f326(f326(f164(x84521),x84522),x84524)))+~P1(f326(f326(f235(a931),x84523),f326(f189(f932(x84521)),x84522)))
% 198.08/197.85 [8696]~P70(x86961)+~P1(f326(f326(f234(x86961),x86962),f2(x86961)))+~P1(f326(f326(f234(x86961),x86963),x86964))+~P1(f326(f326(f235(x86961),f2(x86961)),f326(f326(f80(x86961),x86963),x86964)))+P1(f326(f326(f234(x86961),f326(f326(f290(x86961),x86962),x86963)),f326(f326(f290(x86961),x86962),x86964)))
% 198.08/197.85 [8697]~P71(x86971)+~P1(f326(f326(f235(x86971),x86972),f2(x86971)))+~P1(f326(f326(f235(x86971),x86973),x86974))+~P1(f326(f326(f235(x86971),f2(x86971)),f326(f326(f80(x86971),x86973),x86974)))+P1(f326(f326(f235(x86971),f326(f326(f290(x86971),x86972),x86973)),f326(f326(f290(x86971),x86972),x86974)))
% 198.08/197.85 [8706]~P71(x87061)+~P1(f326(f326(f234(x87061),x87064),x87063))+~P1(f326(f326(f234(x87061),f2(x87061)),x87062))+~P1(f326(f326(f235(x87061),f2(x87061)),f326(f326(f80(x87061),x87063),x87064)))+P1(f326(f326(f234(x87061),f326(f326(f290(x87061),x87062),x87063)),f326(f326(f290(x87061),x87062),x87064)))
% 198.08/197.85 [8707]~P71(x87071)+~P1(f326(f326(f235(x87071),x87074),x87073))+~P1(f326(f326(f235(x87071),f2(x87071)),x87072))+~P1(f326(f326(f235(x87071),f2(x87071)),f326(f326(f80(x87071),x87073),x87074)))+P1(f326(f326(f235(x87071),f326(f326(f290(x87071),x87072),x87073)),f326(f326(f290(x87071),x87072),x87074)))
% 198.08/197.85 [8807]P1(f326(x88071,x88072))+~P1(f326(f61(x88074),x88072))+P1(f326(x88071,f605(x88071,x88073,x88072,x88074)))+~P1(f326(x88071,f188(f939(x88074,a927))))+~P1(f326(f326(f234(f939(x88074,a927)),x88072),x88073))
% 198.08/197.85 [8816]P1(f326(x88161,x88162))+P1(f326(f61(x88163),f605(x88161,x88164,x88162,x88163)))+~P1(f326(f61(x88163),x88162))+~P1(f326(x88161,f188(f939(x88163,a927))))+~P1(f326(f326(f234(f939(x88163,a927)),x88162),x88164))
% 198.08/197.85 [9085]E(f326(f326(f79(a1),f463(x90851,x90852,x90853,x90854)),f464(x90851,x90852,x90853,x90854)),x90854)+~P1(f326(f326(f235(a1),f2(a1)),x90853))+~P1(f326(f326(f235(a1),x90852),x90854))+~P1(f326(f326(f328(a1),x90852),x90851))+P1(f326(f326(f235(a1),x90852),f326(f326(f3(a1),x90854),x90853)))
% 198.08/197.85 [9299]~P1(f326(f326(f235(a1),f2(a1)),x92993))+~P1(f326(f326(f235(a1),x92992),x92994))+~P1(f326(f326(f328(a1),x92992),x92991))+P1(f326(f326(f328(a1),f463(x92991,x92992,x92993,x92994)),x92991))+P1(f326(f326(f235(a1),x92992),f326(f326(f3(a1),x92994),x92993)))
% 198.08/197.85 [9310]P1(f326(x93101,x93102))+~P1(f326(f61(x93103),x93102))+P1(f326(f326(f328(x93103),f599(x93101,x93104,x93102,x93103)),x93104))+~P1(f326(x93101,f188(f939(x93103,a927))))+~P1(f326(f326(f234(f939(x93103,a927)),x93102),x93104))
% 198.08/197.85 [9327]E(f326(f326(f79(a1),f449(x93271,x93272,x93273,x93274)),f450(x93271,x93272,x93273,x93274)),x93274)+~P1(f326(f326(f235(a1),f2(a1)),x93273))+~P1(f326(f326(f234(a1),x93272),x93274))+P1(f326(f326(f234(a1),x93272),f326(f326(f3(a1),x93274),x93273)))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x93272),f77(a1))),x93271))
% 198.08/197.85 [9381]~P1(f326(f326(f235(a1),f2(a1)),x93813))+~P1(f326(f326(f235(a1),x93811),x93812))+~P1(f326(f326(f328(a1),x93811),x93814))+P1(f326(f326(f328(a1),f464(x93814,x93811,x93813,x93812)),f302(a1,f77(a1),x93813)))+P1(f326(f326(f235(a1),x93811),f326(f326(f3(a1),x93812),x93813)))
% 198.08/197.85 [9413]~P79(x94132)+~E(f790(x94133,x94134,x94131,x94132),f791(x94133,x94134,x94131,x94132))+~P1(f326(f61(x94131),f792(x94133,x94134,x94131,x94132)))+E(f326(f326(f8(f939(x94131,a927),x94132),f326(f8(x94131,x94132),x94133)),x94134),f326(f326(f8(x94131,x94132),x94133),f37(f939(x94131,a927),x94134)))+~P1(f326(f61(f939(x94131,a927)),x94134))
% 198.08/197.85 [9418]~P79(x94182)+~E(f326(x94183,f793(x94183,x94184,x94181,x94182)),f2(x94182))+~P1(f326(f61(x94181),f792(x94183,x94184,x94181,x94182)))+E(f326(f326(f8(f939(x94181,a927),x94182),f326(f8(x94181,x94182),x94183)),x94184),f326(f326(f8(x94181,x94182),x94183),f37(f939(x94181,a927),x94184)))+~P1(f326(f61(f939(x94181,a927)),x94184))
% 198.08/197.85 [9483]~P1(f326(f326(f235(a1),f2(a1)),x94833))+~P1(f326(f326(f234(a1),x94832),x94834))+P1(f326(f326(f328(a1),f449(x94831,x94832,x94833,x94834)),x94831))+P1(f326(f326(f234(a1),x94832),f326(f326(f3(a1),x94834),x94833)))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x94832),f77(a1))),x94831))
% 198.08/197.85 [9527]~P1(f326(f326(f235(a1),f2(a1)),x95273))+~P1(f326(f326(f234(a1),x95271),x95272))+P1(f326(f326(f328(a1),f450(x95274,x95271,x95273,x95272)),f302(a1,f77(a1),x95273)))+P1(f326(f326(f234(a1),x95271),f326(f326(f3(a1),x95272),x95273)))+~P1(f326(f326(f328(a1),f326(f326(f3(a1),x95271),f77(a1))),x95274))
% 198.08/197.85 [9548]~P79(x95482)+~E(f790(x95483,x95484,x95481,x95482),f791(x95483,x95484,x95481,x95482))+E(f326(f326(f8(f939(x95481,a927),x95482),f326(f8(x95481,x95482),x95483)),x95484),f326(f326(f8(x95481,x95482),x95483),f37(f939(x95481,a927),x95484)))+P1(f326(f326(f328(f939(x95481,a927)),f792(x95483,x95484,x95481,x95482)),x95484))+~P1(f326(f61(f939(x95481,a927)),x95484))
% 198.08/197.85 [9553]~P79(x95532)+~E(f326(x95533,f793(x95533,x95534,x95531,x95532)),f2(x95532))+E(f326(f326(f8(f939(x95531,a927),x95532),f326(f8(x95531,x95532),x95533)),x95534),f326(f326(f8(x95531,x95532),x95533),f37(f939(x95531,a927),x95534)))+P1(f326(f326(f328(f939(x95531,a927)),f792(x95533,x95534,x95531,x95532)),x95534))+~P1(f326(f61(f939(x95531,a927)),x95534))
% 198.08/197.85 [9654]~P79(x96542)+~P1(f326(f61(x96541),f792(x96543,x96544,x96541,x96542)))+E(f326(f326(f8(f939(x96541,a927),x96542),f326(f8(x96541,x96542),x96543)),x96544),f326(f326(f8(x96541,x96542),x96543),f37(f939(x96541,a927),x96544)))+P1(f326(f326(f328(f939(x96541,a927)),f791(x96543,x96544,x96541,x96542)),x96544))+~P1(f326(f61(f939(x96541,a927)),x96544))
% 198.08/197.85 [9655]~P79(x96552)+~P1(f326(f61(x96551),f792(x96553,x96554,x96551,x96552)))+E(f326(f326(f8(f939(x96551,a927),x96552),f326(f8(x96551,x96552),x96553)),x96554),f326(f326(f8(x96551,x96552),x96553),f37(f939(x96551,a927),x96554)))+P1(f326(f326(f328(f939(x96551,a927)),f790(x96553,x96554,x96551,x96552)),x96554))+~P1(f326(f61(f939(x96551,a927)),x96554))
% 198.08/197.85 [9735]~P79(x97352)+E(f326(f326(f8(f939(x97351,a927),x97352),f326(f8(x97351,x97352),x97353)),x97354),f326(f326(f8(x97351,x97352),x97353),f37(f939(x97351,a927),x97354)))+P1(f326(f326(f328(f939(x97351,a927)),f792(x97353,x97354,x97351,x97352)),x97354))+P1(f326(f326(f328(f939(x97351,a927)),f791(x97353,x97354,x97351,x97352)),x97354))+~P1(f326(f61(f939(x97351,a927)),x97354))
% 198.08/197.85 [9736]~P79(x97362)+E(f326(f326(f8(f939(x97361,a927),x97362),f326(f8(x97361,x97362),x97363)),x97364),f326(f326(f8(x97361,x97362),x97363),f37(f939(x97361,a927),x97364)))+P1(f326(f326(f328(f939(x97361,a927)),f792(x97363,x97364,x97361,x97362)),x97364))+P1(f326(f326(f328(f939(x97361,a927)),f790(x97363,x97364,x97361,x97362)),x97364))+~P1(f326(f61(f939(x97361,a927)),x97364))
% 198.08/197.85 [9753]~P79(x97532)+P1(f326(f326(f328(x97531),f793(x97533,x97534,x97531,x97532)),f791(x97533,x97534,x97531,x97532)))+~P1(f326(f61(x97531),f792(x97533,x97534,x97531,x97532)))+E(f326(f326(f8(f939(x97531,a927),x97532),f326(f8(x97531,x97532),x97533)),x97534),f326(f326(f8(x97531,x97532),x97533),f37(f939(x97531,a927),x97534)))+~P1(f326(f61(f939(x97531,a927)),x97534))
% 198.08/197.85 [9754]~P79(x97542)+P1(f326(f326(f328(x97541),f793(x97543,x97544,x97541,x97542)),f790(x97543,x97544,x97541,x97542)))+~P1(f326(f61(x97541),f792(x97543,x97544,x97541,x97542)))+E(f326(f326(f8(f939(x97541,a927),x97542),f326(f8(x97541,x97542),x97543)),x97544),f326(f326(f8(x97541,x97542),x97543),f37(f939(x97541,a927),x97544)))+~P1(f326(f61(f939(x97541,a927)),x97544))
% 198.08/197.85 [9767]P1(f326(x97671,x97672))+~P1(f326(f326(f328(x97673),f599(x97671,x97674,x97672,x97673)),f605(x97671,x97674,x97672,x97673)))+~P1(f326(f61(x97673),x97672))+~P1(f326(x97671,f188(f939(x97673,a927))))+~P1(f326(f326(f234(f939(x97673,a927)),x97672),x97674))
% 198.08/197.85 [9805]~P79(x98052)+P1(f326(f326(f328(x98051),f793(x98053,x98054,x98051,x98052)),f791(x98053,x98054,x98051,x98052)))+E(f326(f326(f8(f939(x98051,a927),x98052),f326(f8(x98051,x98052),x98053)),x98054),f326(f326(f8(x98051,x98052),x98053),f37(f939(x98051,a927),x98054)))+P1(f326(f326(f328(f939(x98051,a927)),f792(x98053,x98054,x98051,x98052)),x98054))+~P1(f326(f61(f939(x98051,a927)),x98054))
% 198.08/197.85 [9806]~P79(x98062)+P1(f326(f326(f328(x98061),f793(x98063,x98064,x98061,x98062)),f790(x98063,x98064,x98061,x98062)))+E(f326(f326(f8(f939(x98061,a927),x98062),f326(f8(x98061,x98062),x98063)),x98064),f326(f326(f8(x98061,x98062),x98063),f37(f939(x98061,a927),x98064)))+P1(f326(f326(f328(f939(x98061,a927)),f792(x98063,x98064,x98061,x98062)),x98064))+~P1(f326(f61(f939(x98061,a927)),x98064))
% 198.08/197.85 [9983]P1(f326(x99831,x99832))+~P1(f326(f61(x99833),x99832))+~P1(f326(x99831,f326(f326(f308(x99833),f599(x99831,x99834,x99832,x99833)),f605(x99831,x99834,x99832,x99833))))+~P1(f326(x99831,f188(f939(x99833,a927))))+~P1(f326(f326(f234(f939(x99833,a927)),x99832),x99834))
% 198.08/197.85 [7996]~P70(x79961)+P1(f326(f326(f235(x79961),x79962),f2(x79961)))+~P1(f326(f326(f234(x79961),f2(x79961)),x79964))+P1(f326(f326(f235(x79961),f2(x79961)),x79962))+P1(f326(f326(f234(x79961),f326(f326(f290(x79961),x79963),x79962)),x79964))
% 198.08/197.85 [7997]~P70(x79971)+P1(f326(f326(f235(x79971),x79972),f2(x79971)))+P1(f326(f326(f235(x79971),f2(x79971)),x79972))+~P1(f326(f326(f235(x79971),f2(x79971)),x79974))+P1(f326(f326(f235(x79971),f326(f326(f290(x79971),x79973),x79972)),x79974))
% 198.08/197.85 [8285]~P1(f326(f326(f234(a1),x82854),f2(a1)))+~E(x82852,f326(f326(f79(a1),f326(f326(f80(a1),x82851),x82853)),x82854))+P1(f326(f326(f235(a1),f2(a1)),x82851))+~P1(f326(f326(f235(a1),x82851),x82854))+P1(f326(f49(x82852,x82851),f326(f326(f251(a1,a1),x82853),x82854)))
% 198.08/197.85 [8319]~P1(f326(x83191,x83194))+P1(f326(x83191,f342(x83192,x83191,x83193)))+~P1(f326(f326(f234(a1),f2(a1)),x83192))+~P1(f326(f326(f235(a1),f2(a1)),x83193))+P1(f326(x83191,f326(f326(f3(a1),x83194),f326(f326(f80(a1),x83192),x83193))))
% 198.08/197.85 [8320]~P1(f326(x83201,x83204))+P1(f326(x83201,f343(x83202,x83201,x83203)))+~P1(f326(f326(f234(a1),f2(a1)),x83202))+~P1(f326(f326(f235(a1),f2(a1)),x83203))+P1(f326(x83201,f326(f326(f79(a1),x83204),f326(f326(f80(a1),x83202),x83203))))
% 198.08/197.85 [8321]~P70(x83211)+P1(f326(f326(f235(x83211),x83212),f2(x83211)))+P1(f326(f326(f235(x83211),f2(x83211)),x83212))+P1(f326(f326(f234(x83211),f2(x83211)),x83213))+~P1(f326(f326(f234(x83211),f326(f326(f290(x83211),x83214),x83212)),x83213))
% 198.08/197.85 [8322]~P70(x83221)+P1(f326(f326(f235(x83221),x83222),f2(x83221)))+P1(f326(f326(f235(x83221),f2(x83221)),x83222))+P1(f326(f326(f235(x83221),f2(x83221)),x83223))+~P1(f326(f326(f235(x83221),f326(f326(f290(x83221),x83224),x83222)),x83223))
% 198.08/197.85 [8374]~E(x83741,f326(f326(f79(a1),f326(f326(f80(a1),x83742),x83743)),x83744))+~P1(f326(f326(f234(a1),f2(a1)),x83744))+~P1(f326(f326(f235(a1),f2(a1)),x83742))+~P1(f326(f326(f235(a1),x83744),x83742))+P1(f326(f49(x83741,x83742),f326(f326(f251(a1,a1),x83743),x83744)))
% 198.08/197.85 [8491]~P70(x84911)+P1(f326(f326(f235(x84911),x84912),f2(x84911)))+~P1(f326(f326(f234(x84911),f2(x84911)),x84914))+~P1(f326(f326(f234(x84911),x84913),f326(f326(f80(x84911),x84914),x84912)))+P1(f326(f326(f234(x84911),f326(f326(f290(x84911),x84913),x84912)),x84914))
% 198.08/197.85 [8492]~P70(x84921)+P1(f326(f326(f235(x84921),x84922),f2(x84921)))+~P1(f326(f326(f235(x84921),f2(x84921)),x84924))+~P1(f326(f326(f235(x84921),x84923),f326(f326(f80(x84921),x84924),x84922)))+P1(f326(f326(f235(x84921),f326(f326(f290(x84921),x84923),x84922)),x84924))
% 198.08/197.85 [8576]~P70(x85761)+P1(f326(f326(f235(x85761),x85762),f2(x85761)))+~P1(f326(f326(f234(x85761),x85763),f2(x85761)))+P1(f326(f326(f234(x85761),x85763),f326(f326(f290(x85761),x85764),x85762)))+~P1(f326(f326(f234(x85761),f326(f326(f80(x85761),x85763),x85762)),x85764))
% 198.08/197.85 [8577]~P70(x85771)+P1(f326(f326(f235(x85771),x85772),f2(x85771)))+~P1(f326(f326(f235(x85771),x85773),f2(x85771)))+P1(f326(f326(f235(x85771),x85773),f326(f326(f290(x85771),x85774),x85772)))+~P1(f326(f326(f235(x85771),f326(f326(f80(x85771),x85773),x85772)),x85774))
% 198.08/197.85 [8728]~P70(x87281)+~P1(f326(f326(f235(x87281),x87282),f2(x87281)))+P1(f326(f326(f235(x87281),f2(x87281)),x87282))+~P1(f326(f326(f234(x87281),f326(f326(f290(x87281),x87284),x87282)),x87283))+P1(f326(f326(f234(x87281),f326(f326(f80(x87281),x87283),x87282)),x87284))
% 198.08/197.85 [8729]~P70(x87291)+~P1(f326(f326(f235(x87291),x87292),f2(x87291)))+P1(f326(f326(f235(x87291),f2(x87291)),x87292))+~P1(f326(f326(f234(x87291),f326(f326(f80(x87291),x87294),x87292)),x87293))+P1(f326(f326(f234(x87291),f326(f326(f290(x87291),x87293),x87292)),x87294))
% 198.08/197.85 [8730]~P70(x87301)+~P1(f326(f326(f235(x87301),x87302),f2(x87301)))+P1(f326(f326(f235(x87301),f2(x87301)),x87302))+~P1(f326(f326(f235(x87301),f326(f326(f290(x87301),x87304),x87302)),x87303))+P1(f326(f326(f235(x87301),f326(f326(f80(x87301),x87303),x87302)),x87304))
% 198.08/197.85 [8731]~P70(x87311)+~P1(f326(f326(f235(x87311),x87312),f2(x87311)))+P1(f326(f326(f235(x87311),f2(x87311)),x87312))+~P1(f326(f326(f235(x87311),f326(f326(f80(x87311),x87314),x87312)),x87313))+P1(f326(f326(f235(x87311),f326(f326(f290(x87311),x87313),x87312)),x87314))
% 198.08/197.85 [8747]~P70(x87471)+~P1(f326(f326(f234(x87471),f2(x87471)),x87474))+P1(f326(f326(f235(x87471),f2(x87471)),x87472))+~P1(f326(f326(f234(x87471),f326(f326(f80(x87471),x87474),x87472)),x87473))+P1(f326(f326(f234(x87471),f326(f326(f290(x87471),x87473),x87472)),x87474))
% 198.08/197.85 [8748]~P70(x87481)+~P1(f326(f326(f235(x87481),f2(x87481)),x87484))+P1(f326(f326(f235(x87481),f2(x87481)),x87482))+~P1(f326(f326(f235(x87481),f326(f326(f80(x87481),x87484),x87482)),x87483))+P1(f326(f326(f235(x87481),f326(f326(f290(x87481),x87483),x87482)),x87484))
% 198.08/197.85 [8824]~P70(x88241)+~P1(f326(f326(f235(x88241),x88244),f2(x88241)))+~P1(f326(f326(f234(x88241),x88243),f326(f326(f80(x88241),x88242),x88244)))+P1(f326(f326(f234(x88241),x88242),f326(f326(f290(x88241),x88243),x88244)))+~P1(f326(f326(f234(x88241),f326(f326(f80(x88241),x88242),x88244)),x88243))
% 198.08/197.85 [8825]~P70(x88251)+~P1(f326(f326(f234(x88251),x88252),f2(x88251)))+~P1(f326(f326(f234(x88251),x88253),f326(f326(f80(x88251),x88252),x88254)))+P1(f326(f326(f234(x88251),x88252),f326(f326(f290(x88251),x88253),x88254)))+~P1(f326(f326(f234(x88251),f326(f326(f80(x88251),x88252),x88254)),x88253))
% 198.08/197.85 [8826]~P70(x88261)+~P1(f326(f326(f235(x88261),x88264),f2(x88261)))+~P1(f326(f326(f235(x88261),x88263),f326(f326(f80(x88261),x88262),x88264)))+P1(f326(f326(f235(x88261),x88262),f326(f326(f290(x88261),x88263),x88264)))+~P1(f326(f326(f235(x88261),f326(f326(f80(x88261),x88262),x88264)),x88263))
% 198.08/197.85 [8827]~P70(x88271)+~P1(f326(f326(f235(x88271),x88272),f2(x88271)))+~P1(f326(f326(f235(x88271),x88273),f326(f326(f80(x88271),x88272),x88274)))+P1(f326(f326(f235(x88271),x88272),f326(f326(f290(x88271),x88273),x88274)))+~P1(f326(f326(f235(x88271),f326(f326(f80(x88271),x88272),x88274)),x88273))
% 198.08/197.85 [8949]~P70(x89491)+~P1(f326(f326(f235(x89491),x89493),f2(x89491)))+~P1(f326(f326(f234(x89491),x89492),f326(f326(f80(x89491),x89494),x89493)))+~P1(f326(f326(f234(x89491),f326(f326(f80(x89491),x89494),x89493)),x89492))+P1(f326(f326(f234(x89491),f326(f326(f290(x89491),x89492),x89493)),x89494))
% 198.08/197.85 [8950]~P70(x89501)+~P1(f326(f326(f235(x89501),x89503),f2(x89501)))+~P1(f326(f326(f235(x89501),x89502),f326(f326(f80(x89501),x89504),x89503)))+~P1(f326(f326(f235(x89501),f326(f326(f80(x89501),x89504),x89503)),x89502))+P1(f326(f326(f235(x89501),f326(f326(f290(x89501),x89502),x89503)),x89504))
% 198.08/197.85 [8967]~P70(x89671)+~P1(f326(f326(f234(x89671),f2(x89671)),x89674))+~P1(f326(f326(f234(x89671),x89672),f326(f326(f80(x89671),x89674),x89673)))+~P1(f326(f326(f234(x89671),f326(f326(f80(x89671),x89674),x89673)),x89672))+P1(f326(f326(f234(x89671),f326(f326(f290(x89671),x89672),x89673)),x89674))
% 198.08/197.85 [8968]~P70(x89681)+~P1(f326(f326(f235(x89681),f2(x89681)),x89684))+~P1(f326(f326(f235(x89681),x89682),f326(f326(f80(x89681),x89684),x89683)))+~P1(f326(f326(f235(x89681),f326(f326(f80(x89681),x89684),x89683)),x89682))+P1(f326(f326(f235(x89681),f326(f326(f290(x89681),x89682),x89683)),x89684))
% 198.08/197.85 [9152]E(f326(f326(f3(a1),f457(x91521,x91522,x91523,x91524)),f458(x91521,x91522,x91523,x91524)),x91524)+~P1(f326(f326(f235(a1),f2(a1)),x91523))+~P1(f326(f326(f328(a1),x91522),x91521))+~P1(f326(f326(f235(a1),x91524),x91522))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x91524),x91523)),x91522))
% 198.08/197.85 [9224]~P1(f326(x92241,x92242))+~P1(f326(f326(f234(a1),f2(a1)),x92243))+~P1(f326(f326(f235(a1),f2(a1)),x92244))+~P1(f326(x92241,f326(f326(f3(a1),f342(x92243,x92241,x92244)),x92244)))+P1(f326(x92241,f326(f326(f3(a1),x92242),f326(f326(f80(a1),x92243),x92244))))
% 198.08/197.85 [9225]~P1(f326(x92251,x92252))+~P1(f326(f326(f234(a1),f2(a1)),x92253))+~P1(f326(f326(f235(a1),f2(a1)),x92254))+~P1(f326(x92251,f326(f326(f79(a1),f343(x92253,x92251,x92254)),x92254)))+P1(f326(x92251,f326(f326(f79(a1),x92252),f326(f326(f80(a1),x92253),x92254))))
% 198.08/197.85 [9375]~P1(f326(f326(f235(a1),f2(a1)),x93753))+~P1(f326(f326(f328(a1),x93752),x93751))+~P1(f326(f326(f235(a1),x93754),x93752))+P1(f326(f326(f328(a1),f457(x93751,x93752,x93753,x93754)),x93751))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x93754),x93753)),x93752))
% 198.08/197.85 [9394]E(f326(f326(f3(a1),f451(x93941,x93942,x93943,x93944)),f452(x93941,x93942,x93943,x93944)),x93944)+~P1(f326(f326(f235(a1),f2(a1)),x93943))+~P1(f326(f326(f234(a1),x93944),x93942))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x93942),f77(a1))),x93941))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x93944),x93943)),x93942))
% 198.08/197.85 [9430]~P1(f326(f326(f235(a1),f2(a1)),x94302))+~P1(f326(f326(f328(a1),x94303),x94304))+~P1(f326(f326(f235(a1),x94301),x94303))+P1(f326(f326(f328(a1),f458(x94304,x94303,x94302,x94301)),f302(a1,f77(a1),x94302)))+P1(f326(f326(f235(a1),f326(f326(f79(a1),x94301),x94302)),x94303))
% 198.08/197.85 [9519]~P1(f326(f326(f235(a1),f2(a1)),x95193))+~P1(f326(f326(f234(a1),x95194),x95192))+P1(f326(f326(f328(a1),f451(x95191,x95192,x95193,x95194)),x95191))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x95192),f77(a1))),x95191))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x95194),x95193)),x95192))
% 198.08/197.85 [9564]~P1(f326(f326(f235(a1),f2(a1)),x95642))+~P1(f326(f326(f234(a1),x95641),x95643))+P1(f326(f326(f328(a1),f452(x95644,x95643,x95642,x95641)),f302(a1,f77(a1),x95642)))+~P1(f326(f326(f328(a1),f326(f326(f79(a1),x95643),f77(a1))),x95644))+P1(f326(f326(f234(a1),f326(f326(f79(a1),x95641),x95642)),x95643))
% 198.08/197.85 [9860]~P41(x98601,x98603)+~P29(x98601,x98604)+P41(x98601,f326(f326(f110(f939(f938(x98601,x98601),a927)),x98602),x98603))+~P1(f326(f326(f234(f939(f938(x98601,x98601),a927)),x98602),f326(f250(f939(f938(x98601,x98601),a927),f939(f938(x98601,x98601),a927)),x98604)))+~P1(f326(f326(f234(f939(f938(x98601,x98601),a927)),x98603),f326(f255(f939(f938(x98601,x98601),a927),f939(f938(x98601,x98601),a927)),x98604)))
% 198.08/197.85 [10251]~P20(x102512,x102514,x102513)+E(x102511,f188(f939(x102512,a927)))+~P1(f326(f61(x102512),x102511))+P1(f326(f326(f328(x102512),f326(x102513,x102511)),x102511))+~P1(f326(f326(f328(x102512),f326(f326(x102514,f553(x102511,x102513,x102514,x102512)),f564(x102511,x102513,x102514,x102512))),f326(f326(f308(x102512),f553(x102511,x102513,x102514,x102512)),f326(f326(f308(x102512),f564(x102511,x102513,x102514,x102512)),f188(f939(x102512,a927))))))
% 198.08/197.85 [10174]~P112(x101742)+~P67(x101741)+~P1(f326(f326(f234(f939(x101741,x101742)),x101743),x101744))+P1(f326(f326(f235(f939(x101741,x101742)),x101743),x101744))+~P1(f326(f56(x101741),f326(f326(f10(a927,a927,x101741),a321),f326(f326(f20(x101741,x101742,a927),f326(f326(f10(x101742,f939(x101742,a927),x101741),a323),x101743)),x101744))))
% 198.08/197.85 [9773]~P59(x97731,x97731,x97734)+P1(f326(f326(f328(f938(x97731,x97731)),f326(f326(f251(x97731,x97731),x97732),x97733)),f306(x97731,x97734)))+P1(f326(f326(f328(f938(x97731,x97731)),f326(f326(f251(x97731,x97731),x97733),x97732)),f306(x97731,x97734)))+~P1(f326(f326(f328(f938(x97731,x97731)),f326(f326(f251(x97731,x97731),x97735),x97732)),f306(x97731,x97734)))+~P1(f326(f326(f328(f938(x97731,x97731)),f326(f326(f251(x97731,x97731),x97735),x97733)),f306(x97731,x97734)))
% 198.08/197.85 [5873]E(x58731,f2(a931))+~E(f326(f35(x58732),x58735),x58731)+E(f326(f35(x58732),x58733),f326(a112,x58731))+~E(x58733,f326(f326(f308(x58732),x58734),x58735))+P1(f326(f326(f328(x58732),x58734),x58735))
% 198.08/197.85 [5995]~P69(x59952)+E(x59951,f2(x59952))+E(x59953,f2(x59952))+~E(f326(f326(f290(x59952),x59954),x59953),f326(f326(f290(x59952),x59955),x59951))+E(f326(f326(f80(x59952),x59954),x59951),f326(f326(f80(x59952),x59955),x59953))
% 198.08/197.85 [5996]~P69(x59962)+E(x59961,f2(x59962))+E(x59963,f2(x59962))+~E(f326(f326(f80(x59962),x59964),x59963),f326(f326(f80(x59962),x59965),x59961))+E(f326(f326(f290(x59962),x59964),x59961),f326(f326(f290(x59962),x59965),x59963))
% 198.08/197.85 [6065]~E(f326(f35(x60651),x60655),x60653)+~E(x60655,f188(f939(x60651,a927)))+E(f326(f35(x60651),x60652),f326(a112,x60653))+~E(x60652,f326(f326(f308(x60651),x60654),x60655))+P1(f326(f326(f328(x60651),x60654),x60655))
% 198.08/197.85 [6306]~P115(x63062)+~E(f326(x63063,x63065),f2(x63062))+E(f326(f326(f11(x63061,x63062),x63063),x63064),f2(x63062))+~P1(f326(f61(x63061),x63064))+~P1(f326(f326(f328(x63061),x63065),x63064))
% 198.08/197.85 [6681]~P111(x66813)+E(x66811,x66812)+~E(f326(f301(x66813,x66814),x66811),f326(f301(x66813,x66815),x66812))+~P1(f326(f326(f235(x66813),x66815),x66812))+~P1(f326(f326(f235(x66813),x66814),x66811))
% 198.08/197.85 [6682]~P111(x66823)+E(x66821,x66822)+~E(f326(f301(x66823,x66821),x66824),f326(f301(x66823,x66822),x66825))+~P1(f326(f326(f235(x66823),x66822),x66825))+~P1(f326(f326(f235(x66823),x66821),x66824))
% 198.08/197.85 [7761]~P111(x77611)+~P15(x77611,f326(f326(f134(x77611),x77614),x77615))+~P1(f326(f326(f328(x77611),x77613),f326(f172(x77611),x77615)))+~P1(f326(f326(f328(x77611),x77612),f326(f172(x77611),x77614)))+P1(f326(f326(f234(x77611),x77612),x77613))
% 198.08/197.85 [8861]~P112(x88611)+~P1(f326(f326(f235(f939(x88611,a927)),f302(x88611,x88615,x88612)),f302(x88611,x88614,x88613)))+~P1(f326(f326(f234(x88611),x88615),x88612))+P1(f326(f326(f235(x88611),x88612),x88613))+P1(f326(f326(f235(x88611),x88614),x88615))
% 198.08/197.85 [10294]~P19(x102942,x102945,x102943)+E(x102941,f188(f939(x102942,a927)))+~E(f326(f326(x102945,f326(x102944,f551(x102941,x102944,x102943,x102945,x102942))),f326(x102944,f552(x102941,x102944,x102943,x102945,x102942))),f326(x102944,f326(f326(x102945,f551(x102941,x102944,x102943,x102945,x102942)),f552(x102941,x102944,x102943,x102945,x102942))))+E(f326(x102943,f326(f309(x102942,x102942,x102944),x102941)),f326(x102944,f326(x102943,x102941)))+~P1(f326(f61(x102942),x102941))
% 198.08/197.85 [6678]~P20(x66782,x66785,x66783)+E(x66781,f188(f939(x66782,a927)))+~P1(f326(f61(x66782),x66781))+E(f326(x66783,f326(f326(f308(x66782),x66784),x66781)),f326(f326(x66785,x66784),f326(x66783,x66781)))+P1(f326(f326(f328(x66782),x66784),x66781))
% 198.08/197.85 [7511]~P19(x75112,x75113,x75114)+E(f326(f326(x75113,f326(x75114,x75111)),f326(x75114,x75115)),f326(x75114,x75115))+E(x75111,f188(f939(x75112,a927)))+~P1(f326(f61(x75112),x75115))+~P1(f326(f326(f234(f939(x75112,a927)),x75111),x75115))
% 198.08/197.85 [7897]~P20(x78974,x78975,x78971)+E(f326(x78971,x78972),x78973)+~P1(f326(f61(x78974),x78972))+~E(f326(f326(f3(f939(x78974,a927)),x78972),f326(f326(f308(x78974),x78973),f188(f939(x78974,a927)))),f188(f939(x78974,a927)))+~P1(f326(f326(f328(x78974),x78973),x78972))
% 198.08/197.85 [8782]~P75(x87821)+~P125(x87821)+~P1(f326(f61(x87822),x87825))+P1(f326(f326(f286(x87821),f326(f326(f11(x87822,x87821),x87823),x87824)),f326(f326(f11(x87822,x87821),x87823),x87825)))+~P1(f326(f326(f234(f939(x87822,a927)),x87824),x87825))
% 198.08/197.85 [8831]E(x88311,x88312)+~P10(x88313,x88314,x88315)+E(f326(f326(f101(f939(x88313,a927)),x88311),x88312),f188(f939(x88313,a927)))+~P1(f326(f326(f328(f939(x88313,a927)),x88312),f326(f326(f60(x88313),x88314),x88315)))+~P1(f326(f326(f328(f939(x88313,a927)),x88311),f326(f326(f60(x88313),x88314),x88315)))
% 198.08/197.85 [9647]~P79(x96472)+~E(f326(x96473,f906(x96473,x96474,x96475,x96471,x96472)),f2(x96472))+E(f326(f326(f8(x96471,x96472),x96473),x96474),f326(f326(f8(x96471,x96472),x96473),x96475))+~P1(f326(f61(x96471),x96475))+~P1(f326(f326(f234(f939(x96471,a927)),x96474),x96475))
% 198.08/197.85 [9648]~P79(x96482)+~E(f326(x96483,f908(x96483,x96484,x96485,x96481,x96482)),f2(x96482))+E(f326(f326(f8(x96481,x96482),x96483),x96484),f326(f326(f8(x96481,x96482),x96483),x96485))+~P1(f326(f61(x96481),x96485))+~P1(f326(f326(f234(f939(x96481,a927)),x96484),x96485))
% 198.08/197.85 [9649]~P75(x96492)+~E(f326(x96493,f768(x96493,x96494,x96495,x96491,x96492)),f77(x96492))+E(f326(f326(f11(x96491,x96492),x96493),x96494),f326(f326(f11(x96491,x96492),x96493),x96495))+~P1(f326(f61(x96491),x96495))+~P1(f326(f326(f234(f939(x96491,a927)),x96494),x96495))
% 198.08/197.85 [9650]~P75(x96502)+~E(f326(x96503,f780(x96503,x96504,x96505,x96501,x96502)),f77(x96502))+E(f326(f326(f11(x96501,x96502),x96503),x96504),f326(f326(f11(x96501,x96502),x96503),x96505))+~P1(f326(f61(x96501),x96505))+~P1(f326(f326(f234(f939(x96501,a927)),x96504),x96505))
% 198.08/197.85 [10127]~P92(x101271)+~P1(f326(f61(x101272),x101275))+~P1(f326(f326(f234(x101271),f2(x101271)),f326(x101273,f892(x101273,x101274,x101275,x101272,x101271))))+P1(f326(f326(f234(x101271),f326(f326(f8(x101272,x101271),x101273),x101274)),f326(f326(f8(x101272,x101271),x101273),x101275)))+~P1(f326(f326(f234(f939(x101272,a927)),x101274),x101275))
% 198.08/197.85 [7758]E(x77581,f2(a931))+P1(f326(x77582,x77583))+~E(x77584,f326(f326(f79(a931),f326(f326(f80(a931),x77581),x77583)),x77585))+~P1(f326(f326(f235(a931),x77585),x77581))+~P1(f326(x77582,f326(f326(f36(a931),x77584),x77581)))
% 198.08/197.85 [7835]E(x78351,f2(a931))+P1(f326(x78352,x78353))+~P1(f326(x78352,f45(a931,x78354,x78351)))+~E(x78354,f326(f326(f79(a931),f326(f326(f80(a931),x78351),x78355)),x78353))+~P1(f326(f326(f235(a931),x78353),x78351))
% 198.08/197.85 [8131]~P69(x81313)+E(f326(x81311,x81312),f2(x81313))+~P1(f326(f61(x81314),x81315))+E(f326(f326(f11(x81314,x81313),x81311),f326(f326(f3(f939(x81314,a927)),x81315),f326(f326(f308(x81314),x81312),f188(f939(x81314,a927))))),f326(f326(f11(x81314,x81313),x81311),x81315))+P1(f326(f326(f328(x81314),x81312),x81315))
% 198.08/197.85 [8531]~P79(x85311)+~P1(f326(f61(x85312),x85315))+~P1(f326(f61(x85312),x85314))+~E(f326(f326(f101(f939(x85312,a927)),x85314),x85315),f188(f939(x85312,a927)))+E(f326(f326(f79(x85311),f326(f326(f8(x85312,x85311),x85313),x85314)),f326(f326(f8(x85312,x85311),x85313),x85315)),f326(f326(f8(x85312,x85311),x85313),f326(f326(f110(f939(x85312,a927)),x85314),x85315)))
% 198.08/197.85 [8533]~P75(x85331)+~P1(f326(f61(x85332),x85335))+~P1(f326(f61(x85332),x85334))+~E(f326(f326(f101(f939(x85332,a927)),x85334),x85335),f188(f939(x85332,a927)))+E(f326(f326(f80(x85331),f326(f326(f11(x85332,x85331),x85333),x85334)),f326(f326(f11(x85332,x85331),x85333),x85335)),f326(f326(f11(x85332,x85331),x85333),f326(f326(f110(f939(x85332,a927)),x85334),x85335)))
% 198.08/197.85 [8631]~P69(x86313)+E(f326(x86311,x86312),f2(x86313))+~P1(f326(f61(x86314),x86315))+E(f326(f326(f11(x86314,x86313),x86311),f326(f326(f3(f939(x86314,a927)),x86315),f326(f326(f308(x86314),x86312),f188(f939(x86314,a927))))),f326(f326(f290(x86313),f326(f326(f11(x86314,x86313),x86311),x86315)),f326(x86311,x86312)))+~P1(f326(f326(f328(x86314),x86312),x86315))
% 198.08/197.85 [9352]~P10(x93521,x93525,x93524)+~E(f326(f326(f60(x93521),f326(f326(f308(x93521),x93522),f188(f939(x93521,a927)))),x93524),f326(f326(f60(x93521),f326(f326(f308(x93521),x93523),f188(f939(x93521,a927)))),x93524))+~P1(f326(f326(f328(x93521),x93523),x93525))+~P1(f326(f326(f328(x93521),x93522),x93525))+P1(f326(f326(f328(f938(x93521,x93521)),f326(f326(f251(x93521,x93521),x93522),x93523)),x93524))
% 198.08/197.85 [9374]~P10(x93741,x93745,x93743)+E(f326(f326(f60(x93741),f326(f326(f308(x93741),x93742),f188(f939(x93741,a927)))),x93743),f326(f326(f60(x93741),f326(f326(f308(x93741),x93744),f188(f939(x93741,a927)))),x93743))+~P1(f326(f326(f328(x93741),x93744),x93745))+~P1(f326(f326(f328(x93741),x93742),x93745))+~P1(f326(f326(f328(f938(x93741,x93741)),f326(f326(f251(x93741,x93741),x93742),x93744)),x93743))
% 198.08/197.85 [9676]~P75(x96761)+~P1(f326(f61(x96762),x96765))+~P1(f326(f61(x96762),x96764))+~E(f326(f326(f101(f939(x96762,a927)),x96764),x96765),f188(f939(x96762,a927)))+E(f326(f326(f80(x96761),f326(f326(f326(f65(x96761,x96762,f80(x96761)),x96763),f77(x96761)),x96764)),f326(f326(f326(f65(x96761,x96762,f80(x96761)),x96763),f77(x96761)),x96765)),f326(f326(f326(f65(x96761,x96762,f80(x96761)),x96763),f77(x96761)),f326(f326(f110(f939(x96762,a927)),x96764),x96765)))
% 198.08/197.85 [9687]~P79(x96871)+~E(f326(x96873,f893(x96873,x96875,x96874,x96872,x96871)),f2(x96871))+~P1(f326(f61(x96872),x96874))+~P1(f326(f61(x96872),x96875))+E(f326(f326(f79(x96871),f326(f326(f8(x96872,x96871),x96873),x96874)),f326(f326(f8(x96872,x96871),x96873),x96875)),f326(f326(f8(x96872,x96871),x96873),f326(f326(f110(f939(x96872,a927)),x96874),x96875)))
% 198.08/197.85 [9688]~P79(x96881)+~E(f326(x96883,f897(x96883,x96885,x96884,x96882,x96881)),f2(x96881))+~P1(f326(f61(x96882),x96884))+~P1(f326(f61(x96882),x96885))+E(f326(f326(f79(x96881),f326(f326(f8(x96882,x96881),x96883),x96884)),f326(f326(f8(x96882,x96881),x96883),x96885)),f326(f326(f8(x96882,x96881),x96883),f326(f326(f110(f939(x96882,a927)),x96884),x96885)))
% 198.08/197.85 [9689]~P75(x96891)+~E(f326(x96893,f894(x96893,x96895,x96894,x96892,x96891)),f77(x96891))+~P1(f326(f61(x96892),x96894))+~P1(f326(f61(x96892),x96895))+E(f326(f326(f80(x96891),f326(f326(f11(x96892,x96891),x96893),x96894)),f326(f326(f11(x96892,x96891),x96893),x96895)),f326(f326(f11(x96892,x96891),x96893),f326(f326(f110(f939(x96892,a927)),x96894),x96895)))
% 198.08/197.85 [9690]~P75(x96901)+~E(f326(x96903,f895(x96903,x96905,x96904,x96902,x96901)),f77(x96901))+~P1(f326(f61(x96902),x96904))+~P1(f326(f61(x96902),x96905))+E(f326(f326(f80(x96901),f326(f326(f11(x96902,x96901),x96903),x96904)),f326(f326(f11(x96902,x96901),x96903),x96905)),f326(f326(f11(x96902,x96901),x96903),f326(f326(f110(f939(x96902,a927)),x96904),x96905)))
% 198.08/197.85 [9904]~P75(x99041)+~E(f326(x99043,f912(x99043,x99045,x99044,x99042,x99041)),f77(x99041))+~P1(f326(f61(x99042),x99044))+~P1(f326(f61(x99042),x99045))+E(f326(f326(f80(x99041),f326(f326(f326(f65(x99041,x99042,f80(x99041)),x99043),f77(x99041)),x99044)),f326(f326(f326(f65(x99041,x99042,f80(x99041)),x99043),f77(x99041)),x99045)),f326(f326(f326(f65(x99041,x99042,f80(x99041)),x99043),f77(x99041)),f326(f326(f110(f939(x99042,a927)),x99044),x99045)))
% 198.08/197.85 [10014]~P79(x100142)+E(f326(f326(f8(x100141,x100142),x100143),x100144),f326(f326(f8(x100141,x100142),x100143),x100145))+~P1(f326(f61(x100141),x100145))+~P1(f326(f326(f234(f939(x100141,a927)),x100144),x100145))+P1(f326(f326(f328(x100141),f906(x100143,x100144,x100145,x100141,x100142)),f326(f326(f3(f939(x100141,a927)),x100145),x100144)))
% 198.08/197.85 [10015]~P79(x100152)+E(f326(f326(f8(x100151,x100152),x100153),x100154),f326(f326(f8(x100151,x100152),x100153),x100155))+~P1(f326(f61(x100151),x100155))+~P1(f326(f326(f234(f939(x100151,a927)),x100154),x100155))+P1(f326(f326(f328(x100151),f908(x100153,x100154,x100155,x100151,x100152)),f326(f326(f3(f939(x100151,a927)),x100155),x100154)))
% 198.08/197.85 [10016]~P75(x100162)+E(f326(f326(f11(x100161,x100162),x100163),x100164),f326(f326(f11(x100161,x100162),x100163),x100165))+~P1(f326(f61(x100161),x100165))+~P1(f326(f326(f234(f939(x100161,a927)),x100164),x100165))+P1(f326(f326(f328(x100161),f768(x100163,x100164,x100165,x100161,x100162)),f326(f326(f3(f939(x100161,a927)),x100165),x100164)))
% 198.08/197.85 [10017]~P75(x100172)+E(f326(f326(f11(x100171,x100172),x100173),x100174),f326(f326(f11(x100171,x100172),x100173),x100175))+~P1(f326(f61(x100171),x100175))+~P1(f326(f326(f234(f939(x100171,a927)),x100174),x100175))+P1(f326(f326(f328(x100171),f780(x100173,x100174,x100175,x100171,x100172)),f326(f326(f3(f939(x100171,a927)),x100175),x100174)))
% 198.08/197.85 [10035]~P79(x100351)+~P1(f326(f61(x100352),x100354))+~P1(f326(f61(x100352),x100355))+E(f326(f326(f79(x100351),f326(f326(f8(x100352,x100351),x100353),x100354)),f326(f326(f8(x100352,x100351),x100353),x100355)),f326(f326(f8(x100352,x100351),x100353),f326(f326(f110(f939(x100352,a927)),x100354),x100355)))+P1(f326(f326(f328(x100352),f893(x100353,x100355,x100354,x100352,x100351)),f326(f326(f101(f939(x100352,a927)),x100354),x100355)))
% 198.08/197.85 [10036]~P79(x100361)+~P1(f326(f61(x100362),x100364))+~P1(f326(f61(x100362),x100365))+E(f326(f326(f79(x100361),f326(f326(f8(x100362,x100361),x100363),x100364)),f326(f326(f8(x100362,x100361),x100363),x100365)),f326(f326(f8(x100362,x100361),x100363),f326(f326(f110(f939(x100362,a927)),x100364),x100365)))+P1(f326(f326(f328(x100362),f897(x100363,x100365,x100364,x100362,x100361)),f326(f326(f101(f939(x100362,a927)),x100364),x100365)))
% 198.08/197.85 [10037]~P75(x100371)+~P1(f326(f61(x100372),x100374))+~P1(f326(f61(x100372),x100375))+E(f326(f326(f80(x100371),f326(f326(f11(x100372,x100371),x100373),x100374)),f326(f326(f11(x100372,x100371),x100373),x100375)),f326(f326(f11(x100372,x100371),x100373),f326(f326(f110(f939(x100372,a927)),x100374),x100375)))+P1(f326(f326(f328(x100372),f894(x100373,x100375,x100374,x100372,x100371)),f326(f326(f101(f939(x100372,a927)),x100374),x100375)))
% 198.08/197.85 [10038]~P75(x100381)+~P1(f326(f61(x100382),x100384))+~P1(f326(f61(x100382),x100385))+E(f326(f326(f80(x100381),f326(f326(f11(x100382,x100381),x100383),x100384)),f326(f326(f11(x100382,x100381),x100383),x100385)),f326(f326(f11(x100382,x100381),x100383),f326(f326(f110(f939(x100382,a927)),x100384),x100385)))+P1(f326(f326(f328(x100382),f895(x100383,x100385,x100384,x100382,x100381)),f326(f326(f101(f939(x100382,a927)),x100384),x100385)))
% 198.08/197.85 [10044]~P92(x100445)+~P1(f326(f61(x100441),x100444))+P1(f326(f326(f234(x100445),f326(f326(f8(x100441,x100445),x100442),x100443)),f326(f326(f8(x100441,x100445),x100442),x100444)))+~P1(f326(f326(f234(f939(x100441,a927)),x100443),x100444))+P1(f326(f326(f328(x100441),f892(x100442,x100443,x100444,x100441,x100445)),f326(f326(f3(f939(x100441,a927)),x100444),x100443)))
% 198.08/197.85 [10088]~P75(x100881)+~P1(f326(f61(x100882),x100884))+~P1(f326(f61(x100882),x100885))+E(f326(f326(f80(x100881),f326(f326(f326(f65(x100881,x100882,f80(x100881)),x100883),f77(x100881)),x100884)),f326(f326(f326(f65(x100881,x100882,f80(x100881)),x100883),f77(x100881)),x100885)),f326(f326(f326(f65(x100881,x100882,f80(x100881)),x100883),f77(x100881)),f326(f326(f110(f939(x100882,a927)),x100884),x100885)))+P1(f326(f326(f328(x100882),f912(x100883,x100885,x100884,x100882,x100881)),f326(f326(f101(f939(x100882,a927)),x100884),x100885)))
% 198.08/197.85 [9040]~P20(x90401,x90404,x90405)+~P1(f326(f61(x90401),x90402))+E(f326(f326(f3(f939(x90401,a927)),x90402),f326(f326(f308(x90401),x90403),f188(f939(x90401,a927)))),f188(f939(x90401,a927)))+~P1(f326(f326(f328(x90401),x90403),x90402))+E(f326(f326(x90404,x90403),f326(x90405,f326(f326(f3(f939(x90401,a927)),x90402),f326(f326(f308(x90401),x90403),f188(f939(x90401,a927)))))),f326(x90405,x90402))
% 198.08/197.85 [9119]~P20(x91191,x91194,x91195)+~P1(f326(f61(x91191),x91193))+~P1(f326(f61(x91191),x91192))+E(f326(f326(f101(f939(x91191,a927)),x91192),x91193),f188(f939(x91191,a927)))+E(f326(f326(x91194,f326(x91195,f326(f326(f110(f939(x91191,a927)),x91192),x91193))),f326(x91195,f326(f326(f101(f939(x91191,a927)),x91192),x91193))),f326(f326(x91194,f326(x91195,x91192)),f326(x91195,x91193)))
% 198.08/197.85 [9692]~P1(f326(f326(f234(a1),x96924),f2(a1)))+~P1(f326(f326(f235(a1),x96923),x96925))+P1(f326(f326(f234(a1),x96921),x96922))+~P1(f326(f326(f235(a1),x96923),x96924))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96923),x96922)),x96925)),f326(f326(f79(a1),f326(f326(f80(a1),x96923),x96921)),x96924)))
% 198.08/197.85 [9694]~P1(f326(f326(f234(a1),f2(a1)),x96945))+P1(f326(f326(f234(a1),x96941),x96942))+~P1(f326(f326(f235(a1),x96943),x96944))+~P1(f326(f326(f235(a1),x96945),x96944))+~P1(f326(f326(f234(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96944),x96941)),x96945)),f326(f326(f79(a1),f326(f326(f80(a1),x96944),x96942)),x96943)))
% 198.08/197.85 [9811]~P69(x98115)+E(f326(x98111,f901(x98111,x98112,x98113,x98114,x98115)),f2(x98115))+~P1(f326(f61(x98114),x98113))+~P1(f326(f61(x98114),x98112))+E(f326(f326(f290(x98115),f326(f326(f80(x98115),f326(f326(f11(x98114,x98115),x98111),x98113)),f326(f326(f11(x98114,x98115),x98111),x98112))),f326(f326(f11(x98114,x98115),x98111),f326(f326(f101(f939(x98114,a927)),x98113),x98112))),f326(f326(f11(x98114,x98115),x98111),f326(f326(f110(f939(x98114,a927)),x98113),x98112)))
% 198.08/197.85 [10080]~P69(x100801)+~P1(f326(f61(x100802),x100804))+~P1(f326(f61(x100802),x100805))+E(f326(f326(f290(x100801),f326(f326(f80(x100801),f326(f326(f11(x100802,x100801),x100803),x100804)),f326(f326(f11(x100802,x100801),x100803),x100805))),f326(f326(f11(x100802,x100801),x100803),f326(f326(f101(f939(x100802,a927)),x100804),x100805))),f326(f326(f11(x100802,x100801),x100803),f326(f326(f110(f939(x100802,a927)),x100804),x100805)))+P1(f326(f326(f328(x100802),f901(x100803,x100805,x100804,x100802,x100801)),f326(f326(f101(f939(x100802,a927)),x100804),x100805)))
% 198.08/197.85 [9393]E(f326(f326(f134(x93931),x93932),x93933),f326(f326(f134(x93931),x93934),x93935))+~E(f326(f326(f175(x93931),f326(f189(f932(x93931)),x93934)),x93932),x93934)+~E(f326(f326(f175(x93931),f326(f189(f932(x93931)),x93932)),x93934),x93932)+~E(x93935,f326(f326(f134(x93931),f326(f326(f138(x93931),f326(f189(f932(x93931)),x93934)),x93932)),x93933))+~E(f326(f326(f134(x93931),f326(f326(f138(x93931),f326(f189(f932(x93931)),x93932)),x93934)),x93935),x93933)
% 198.08/197.85 [9809]~P111(x98092)+E(f326(f326(f148(x98091,x98092,x98093),x98094),f170(x98091,x98094,x98095)),x98095)+~P15(x98092,f326(f326(f154(x98091,x98092),x98093),x98095))+~P1(f326(f326(f328(x98091),x98094),f326(f172(x98091),x98095)))+~E(f326(f141(x98091),f326(f136(x98091,f326(f326(f10(x98092,a927,x98091),f326(a323,f326(x98093,x98094))),x98093)),x98095)),x98094)
% 198.08/197.85 [10145]~P73(x101451)+~P1(f326(f66(x101451,x101451,f80(x101451),x101452,x101453),x101455))+~P1(f326(f326(f328(x101451),x101454),x101453))+P1(f326(f326(f328(x101451),x101452),x101453))+P1(f326(f66(x101451,x101451,f80(x101451),x101454,f326(f326(f308(x101451),x101452),f326(f326(f3(f939(x101451,a927)),x101453),f326(f326(f308(x101451),x101454),f188(f939(x101451,a927)))))),x101455))
% 198.08/197.85 [7519]E(x75191,x75192)+~P27(x75194,x75195,x75193,x75196)+~E(f326(x75193,x75191),f326(x75193,x75192))+~P1(f326(f326(f328(x75194),x75192),x75196))+~P1(f326(f326(f328(x75194),x75191),x75196))
% 198.08/197.85 [6772]~P142(x67724)+E(x67721,x67722)+~E(x67725,x67726)+E(x67723,f2(x67724))+~E(f326(f326(f79(x67724),x67725),f326(f326(f80(x67724),x67723),x67721)),f326(f326(f79(x67724),x67726),f326(f326(f80(x67724),x67723),x67722)))
% 198.08/197.85 [7815]~P111(x78151)+~P7(x78151)+~P1(f326(f326(f235(x78151),x78152),f326(x78155,x78156)))+~P1(f326(f326(f328(x78153),x78156),x78154))+P1(f326(f326(f235(x78151),x78152),f326(f326(f40(x78153,x78151),x78154),x78155)))
% 198.08/197.85 [10141]~P27(x101412,x101411,x101413,x101414)+~P27(x101411,x101412,x101416,x101415)+P28(x101411,x101412,f838(x101413,x101414,x101415,x101416,x101412,x101411),x101415,x101414)+~P1(f326(f326(f234(f939(x101412,a927)),f326(f309(x101411,x101412,x101416),x101415)),x101414))+~P1(f326(f326(f234(f939(x101411,a927)),f326(f309(x101412,x101411,x101413),x101414)),x101415))
% 198.08/197.85 [8502]~P111(x85021)+~P7(x85021)+~P1(f326(f326(f235(x85021),f326(x85024,x85026)),x85025))+~P1(f326(f326(f328(x85022),x85026),x85023))+P1(f326(f326(f235(x85021),f326(f326(f39(x85022,x85021),x85023),x85024)),x85025))
% 198.08/197.85 [8754]~P21(x87542,x87545,x87546,x87541)+~P1(f326(f61(x87542),x87544))+~P1(f326(f61(x87542),x87543))+~E(f326(f326(f101(f939(x87542,a927)),x87543),x87544),f188(f939(x87542,a927)))+E(f326(x87541,f326(f326(f110(f939(x87542,a927)),x87543),x87544)),f326(f72(x87545,x87545,x87545,f326(x87541,x87543)),f326(x87541,x87544)))
% 198.08/197.85 [10355]~P75(x103551)+~E(f827(x103554,x103555,x103553,x103556,x103552,x103551),f828(x103554,x103555,x103553,x103556,x103552,x103551))+~P1(f326(f61(x103552),x103556))+E(f326(f326(f326(f65(x103551,x103552,f80(x103551)),f326(f326(f10(f939(x103553,a927),x103551,x103552),f326(f326(f65(x103551,x103553,f80(x103551)),x103554),f77(x103551))),x103555)),f77(x103551)),x103556),f326(f326(f326(f65(x103551,x103553,f80(x103551)),x103554),f77(x103551)),f326(f326(f40(x103552,f939(x103553,a927)),x103556),x103555)))+P1(f326(f326(f328(x103552),f826(x103554,x103555,x103553,x103556,x103552,x103551)),x103556))
% 198.08/197.85 [10385]~P75(x103851)+~E(f827(x103854,x103855,x103853,x103856,x103852,x103851),f828(x103854,x103855,x103853,x103856,x103852,x103851))+~P1(f326(f61(x103852),x103856))+E(f326(f326(f326(f65(x103851,x103852,f80(x103851)),f326(f326(f10(f939(x103853,a927),x103851,x103852),f326(f326(f65(x103851,x103853,f80(x103851)),x103854),f77(x103851))),x103855)),f77(x103851)),x103856),f326(f326(f326(f65(x103851,x103853,f80(x103851)),x103854),f77(x103851)),f326(f326(f40(x103852,f939(x103853,a927)),x103856),x103855)))+~P1(f326(f61(x103853),f326(x103855,f826(x103854,x103855,x103853,x103856,x103852,x103851))))
% 198.08/197.85 [10388]~P75(x103881)+~P1(f326(f61(x103882),x103886))+E(f326(f326(f326(f65(x103881,x103882,f80(x103881)),f326(f326(f10(f939(x103883,a927),x103881,x103882),f326(f326(f65(x103881,x103883,f80(x103881)),x103884),f77(x103881))),x103885)),f77(x103881)),x103886),f326(f326(f326(f65(x103881,x103883,f80(x103881)),x103884),f77(x103881)),f326(f326(f40(x103882,f939(x103883,a927)),x103886),x103885)))+P1(f326(f326(f328(x103882),f826(x103884,x103885,x103883,x103886,x103882,x103881)),x103886))+P1(f326(f326(f328(x103882),f828(x103884,x103885,x103883,x103886,x103882,x103881)),x103886))
% 198.08/197.85 [10389]~P75(x103891)+~P1(f326(f61(x103892),x103896))+E(f326(f326(f326(f65(x103891,x103892,f80(x103891)),f326(f326(f10(f939(x103893,a927),x103891,x103892),f326(f326(f65(x103891,x103893,f80(x103891)),x103894),f77(x103891))),x103895)),f77(x103891)),x103896),f326(f326(f326(f65(x103891,x103893,f80(x103891)),x103894),f77(x103891)),f326(f326(f40(x103892,f939(x103893,a927)),x103896),x103895)))+P1(f326(f326(f328(x103892),f826(x103894,x103895,x103893,x103896,x103892,x103891)),x103896))+P1(f326(f326(f328(x103892),f827(x103894,x103895,x103893,x103896,x103892,x103891)),x103896))
% 198.08/197.85 [10409]~P75(x104091)+~P1(f326(f61(x104092),x104096))+E(f326(f326(f326(f65(x104091,x104092,f80(x104091)),f326(f326(f10(f939(x104093,a927),x104091,x104092),f326(f326(f65(x104091,x104093,f80(x104091)),x104094),f77(x104091))),x104095)),f77(x104091)),x104096),f326(f326(f326(f65(x104091,x104093,f80(x104091)),x104094),f77(x104091)),f326(f326(f40(x104092,f939(x104093,a927)),x104096),x104095)))+P1(f326(f326(f328(x104092),f828(x104094,x104095,x104093,x104096,x104092,x104091)),x104096))+~P1(f326(f61(x104093),f326(x104095,f826(x104094,x104095,x104093,x104096,x104092,x104091))))
% 198.08/197.85 [10410]~P75(x104101)+~P1(f326(f61(x104102),x104106))+E(f326(f326(f326(f65(x104101,x104102,f80(x104101)),f326(f326(f10(f939(x104103,a927),x104101,x104102),f326(f326(f65(x104101,x104103,f80(x104101)),x104104),f77(x104101))),x104105)),f77(x104101)),x104106),f326(f326(f326(f65(x104101,x104103,f80(x104101)),x104104),f77(x104101)),f326(f326(f40(x104102,f939(x104103,a927)),x104106),x104105)))+P1(f326(f326(f328(x104102),f827(x104104,x104105,x104103,x104106,x104102,x104101)),x104106))+~P1(f326(f61(x104103),f326(x104105,f826(x104104,x104105,x104103,x104106,x104102,x104101))))
% 198.08/197.85 [10421]~P75(x104211)+~E(f326(f326(f101(f939(x104213,a927)),f326(x104215,f828(x104214,x104215,x104213,x104216,x104212,x104211))),f326(x104215,f827(x104214,x104215,x104213,x104216,x104212,x104211))),f188(f939(x104213,a927)))+~P1(f326(f61(x104212),x104216))+E(f326(f326(f326(f65(x104211,x104212,f80(x104211)),f326(f326(f10(f939(x104213,a927),x104211,x104212),f326(f326(f65(x104211,x104213,f80(x104211)),x104214),f77(x104211))),x104215)),f77(x104211)),x104216),f326(f326(f326(f65(x104211,x104213,f80(x104211)),x104214),f77(x104211)),f326(f326(f40(x104212,f939(x104213,a927)),x104216),x104215)))+P1(f326(f326(f328(x104212),f826(x104214,x104215,x104213,x104216,x104212,x104211)),x104216))
% 198.08/197.85 [10432]~P75(x104321)+~E(f326(f326(f101(f939(x104323,a927)),f326(x104325,f828(x104324,x104325,x104323,x104326,x104322,x104321))),f326(x104325,f827(x104324,x104325,x104323,x104326,x104322,x104321))),f188(f939(x104323,a927)))+~P1(f326(f61(x104322),x104326))+E(f326(f326(f326(f65(x104321,x104322,f80(x104321)),f326(f326(f10(f939(x104323,a927),x104321,x104322),f326(f326(f65(x104321,x104323,f80(x104321)),x104324),f77(x104321))),x104325)),f77(x104321)),x104326),f326(f326(f326(f65(x104321,x104323,f80(x104321)),x104324),f77(x104321)),f326(f326(f40(x104322,f939(x104323,a927)),x104326),x104325)))+~P1(f326(f61(x104323),f326(x104325,f826(x104324,x104325,x104323,x104326,x104322,x104321))))
% 198.08/197.85 [9491]~P125(x94911)+~P121(x94911)+~P1(f326(f326(f286(x94911),x94912),x94915))+~P1(f326(f326(f286(x94911),x94912),f326(f326(f79(x94911),x94913),x94916)))+P1(f326(f326(f286(x94911),x94912),f326(f326(f79(x94911),f326(f326(f3(x94911),x94913),f326(f326(f80(x94911),x94914),x94915))),x94916)))
% 198.08/197.85 [9681]~P125(x96811)+~P121(x96811)+~P1(f326(f326(f286(x96811),x96812),x96815))+P1(f326(f326(f286(x96811),x96812),f326(f326(f79(x96811),x96813),x96814)))+~P1(f326(f326(f286(x96811),x96812),f326(f326(f79(x96811),f326(f326(f3(x96811),x96813),f326(f326(f80(x96811),x96816),x96815))),x96814)))
% 198.08/197.85 [9089]E(x90891,x90892)+~P61(x90894,x90895,x90896,x90893,x90897)+~E(f326(x90893,x90891),f326(x90893,x90892))+~P1(f326(f326(f328(x90895),x90892),x90897))+~P1(f326(f326(f328(x90895),x90891),x90897))
% 198.08/197.85 [10399]~P1(f326(x103992,x103994))+~E(x103995,f326(f136(x103991,x103992),x103997))+E(f326(f136(x103991,x103992),x103993),f326(f326(f151(x103991),x103994),x103995))+~E(x103993,f326(f326(f134(x103991),x103996),f326(f326(f151(x103991),x103994),x103997)))+P1(f326(x103992,f759(x103995,x103994,x103993,x103992,x103991,x103996,x103997)))
% 198.08/197.85 [10400]~P1(f326(x104004,x104002))+~E(x104003,f326(f136(x104001,x104004),x104007))+E(f326(f326(f151(x104001),x104002),x104003),f326(f136(x104001,x104004),x104005))+~E(x104005,f326(f326(f134(x104001),x104006),f326(f326(f151(x104001),x104002),x104007)))+P1(f326(x104004,f760(x104005,x104004,x104003,x104002,x104001,x104006,x104007)))
% 198.08/197.85 [10444]~P1(f326(x104442,x104444))+~E(x104445,f326(f136(x104441,x104442),x104447))+E(f326(f136(x104441,x104442),x104443),f326(f326(f151(x104441),x104444),x104445))+~E(x104443,f326(f326(f134(x104441),x104446),f326(f326(f151(x104441),x104444),x104447)))+P1(f326(f326(f328(x104441),f759(x104445,x104444,x104443,x104442,x104441,x104446,x104447)),f326(f172(x104441),x104446)))
% 198.08/197.85 [10445]~P1(f326(x104454,x104452))+~E(x104453,f326(f136(x104451,x104454),x104457))+E(f326(f326(f151(x104451),x104452),x104453),f326(f136(x104451,x104454),x104455))+~E(x104455,f326(f326(f134(x104451),x104456),f326(f326(f151(x104451),x104452),x104457)))+P1(f326(f326(f328(x104451),f760(x104455,x104454,x104453,x104452,x104451,x104456,x104457)),f326(f172(x104451),x104456)))
% 198.08/197.85 [10449]~P10(x104491,x104497,x104496)+~P13(x104491,f939(x104495,a927),x104496,x104494)+P1(f326(f326(f328(x104491),f517(x104492,x104493,x104494,x104495,x104496,x104497,x104491)),x104497))+~P1(f326(f326(f328(f939(x104491,a927)),x104493),f326(f326(f60(x104491),x104497),x104496)))+P1(f326(f326(f328(f939(x104495,a927)),f326(f326(f40(x104491,f939(x104495,a927)),x104493),x104494)),x104492))
% 198.08/197.85 [10508]~P10(x105082,x105086,x105087)+~P13(x105082,f939(x105081,a927),x105087,x105084)+~P1(f326(f326(f328(f939(x105082,a927)),x105083),f326(f326(f60(x105082),x105086),x105087)))+~P1(f326(f326(f328(f939(x105081,a927)),f326(x105084,f517(x105085,x105083,x105084,x105081,x105087,x105086,x105082))),x105085))+P1(f326(f326(f328(f939(x105081,a927)),f326(f326(f40(x105082,f939(x105081,a927)),x105083),x105084)),x105085))
% 198.08/197.85 [8674]~P75(x86742)+~P27(x86741,x86745,x86748,x86744)+~E(x86743,f326(f72(x86745,x86742,x86741,x86746),x86748))+~E(x86747,f326(f309(x86741,x86745,x86748),x86744))+E(f326(f326(f11(x86741,x86742),x86743),x86744),f326(f326(f11(x86745,x86742),x86746),x86747))
% 198.08/197.85 [10512]~P75(x105122)+~P27(x105125,x105121,x105128,x105127)+~E(f326(x105126,f608(x105123,x105126,x105124,x105127,x105128,x105121,x105125,x105122)),f326(f326(f72(x105121,x105122,x105125,x105123),x105128),f608(x105123,x105126,x105124,x105127,x105128,x105121,x105125,x105122)))+~E(x105124,f326(f309(x105125,x105121,x105128),x105127))+E(f326(f326(f11(x105121,x105122),x105123),x105124),f326(f326(f11(x105125,x105122),x105126),x105127))
% 198.08/197.85 [10515]~P79(x105152)+~P27(x105151,x105155,x105158,x105154)+~E(x105157,f326(f309(x105151,x105155,x105158),x105154))+E(f326(f326(f8(x105151,x105152),x105153),x105154),f326(f326(f8(x105155,x105152),x105156),x105157))+P1(f326(f326(f328(x105151),f623(x105156,x105153,x105157,x105154,x105158,x105155,x105151,x105152)),x105154))
% 198.08/197.85 [10516]~P75(x105162)+~P27(x105161,x105165,x105168,x105164)+~E(x105167,f326(f309(x105161,x105165,x105168),x105164))+E(f326(f326(f11(x105161,x105162),x105163),x105164),f326(f326(f11(x105165,x105162),x105166),x105167))+P1(f326(f326(f328(x105161),f608(x105166,x105163,x105167,x105164,x105168,x105165,x105161,x105162)),x105164))
% 198.08/197.85 [10521]~P79(x105212)+~P27(x105215,x105211,x105218,x105217)+~E(x105214,f326(f309(x105215,x105211,x105218),x105217))+~E(f326(x105216,f623(x105213,x105216,x105214,x105217,x105218,x105211,x105215,x105212)),f326(x105213,f326(x105218,f623(x105213,x105216,x105214,x105217,x105218,x105211,x105215,x105212))))+E(f326(f326(f8(x105211,x105212),x105213),x105214),f326(f326(f8(x105215,x105212),x105216),x105217))
% 198.08/197.85 [9977]~P25(x99776,x99772,x99775,x99777,x99778,x99771)+~P1(f326(f61(x99772),x99774))+~P1(f326(f61(x99772),x99773))+~E(f326(f326(f101(f939(x99772,a927)),x99773),x99774),f188(f939(x99772,a927)))+E(f326(x99771,f326(f326(f110(f939(x99772,a927)),x99773),x99774)),f326(f326(x99775,f326(x99771,x99773)),f326(x99771,x99774)))
% 198.08/197.85 [10382]~P25(x103828,x103822,x103825,x103827,x103826,x103821)+~E(f326(x103826,f913(x103824,x103823,x103821,x103826,x103827,x103825,x103822)),x103827)+~P1(f326(f61(x103822),x103823))+~P1(f326(f61(x103822),x103824))+E(f326(x103821,f326(f326(f110(f939(x103822,a927)),x103823),x103824)),f326(f326(x103825,f326(x103821,x103823)),f326(x103821,x103824)))
% 198.08/197.85 [10456]~P25(x104568,x104562,x104565,x104567,x104566,x104561)+~P1(f326(f61(x104562),x104563))+~P1(f326(f61(x104562),x104564))+E(f326(x104561,f326(f326(f110(f939(x104562,a927)),x104563),x104564)),f326(f326(x104565,f326(x104561,x104563)),f326(x104561,x104564)))+P1(f326(f326(f328(x104562),f913(x104564,x104563,x104561,x104566,x104567,x104565,x104562)),f326(f326(f101(f939(x104562,a927)),x104563),x104564)))
% 198.08/197.85 [10132]~P10(x101324,x101328,x101325)+~P10(x101321,x101329,x101323)+~P14(x101321,x101324,f939(x101322,a927),x101323,x101325,x101327)+P13(x101321,f939(x101322,a927),x101323,f326(f326(f10(f939(x101324,f939(x101322,a927)),f939(x101322,a927),x101321),f326(f40(x101324,f939(x101322,a927)),f326(f284(x101324,x101324,x101325),f326(f326(f308(x101324),x101326),f188(f939(x101324,a927)))))),x101327))+~P1(f326(f326(f328(x101324),x101326),x101328))
% 198.08/197.85 [5671]~P111(x56713)+~P15(x56713,x56711)+E(x56711,f737(x56712,x56713))+~E(f326(f172(x56713),x56711),x56712)+~P1(f326(f61(x56713),x56712))+~P1(f326(f137(x56713),x56711))
% 198.08/197.85 [7510]P17(x75101,x75102)+~E(f326(x75102,f818(x75102)),f326(x75102,f819(x75102)))+~P1(f326(f326(x75102,f818(x75102)),f818(x75102)))+~P1(f326(f326(x75102,f818(x75102)),f819(x75102)))+~P1(f326(f326(x75102,f819(x75102)),f819(x75102)))+~P1(f326(f326(x75102,x75103),x75103))
% 198.08/197.85 [5295]~P135(x52952)+~P136(x52952)+~P147(x52952)+~P118(x52952)+E(x52951,f2(x52952))+~E(f326(f326(f243(x52952),x52951),x52953),f2(x52952))
% 198.08/197.85 [5296]~P135(x52962)+~P136(x52962)+~P147(x52962)+~P118(x52962)+~E(x52961,f2(a931))+~E(f326(f326(f243(x52962),x52963),x52961),f2(x52962))
% 198.08/197.85 [6754]~P92(x67541)+~E(x67543,f2(x67541))+~E(x67542,f2(x67541))+E(f326(f326(f79(x67541),x67542),x67543),f2(x67541))+~P1(f326(f326(f234(x67541),f2(x67541)),x67543))+~P1(f326(f326(f234(x67541),f2(x67541)),x67542))
% 198.08/197.85 [9157]~E(f326(f250(a931,a931),x91573),f2(a931))+~E(x91571,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x91573)),x91572)),f326(f255(a931,a931),x91573)))+P1(f326(f48(x91571,x91572),x91573))+~P1(f326(f326(f234(a931),f326(f255(a931,a931),x91573)),f2(a931)))+P1(f326(f326(f235(a931),f2(a931)),x91572))+~P1(f326(f326(f235(a931),x91572),f326(f255(a931,a931),x91573)))
% 198.08/197.85 [9165]E(x91651,f2(a931))+~E(x91652,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x91653)),x91651)),f326(f255(a931,a931),x91653)))+P1(f326(f48(x91652,x91651),x91653))+~P1(f326(f326(f235(a931),f2(a931)),x91651))+~P1(f326(f326(f234(a931),f2(a931)),f326(f255(a931,a931),x91653)))+~P1(f326(f326(f235(a931),f326(f255(a931,a931),x91653)),x91651))
% 198.08/197.85 [9184]~E(f326(f250(a931,a931),x91843),f2(a931))+~E(x91841,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x91843)),x91842)),f326(f255(a931,a931),x91843)))+P1(f326(f48(x91841,x91842),x91843))+~P1(f326(f326(f235(a931),f2(a931)),x91842))+~P1(f326(f326(f234(a931),f2(a931)),f326(f255(a931,a931),x91843)))+~P1(f326(f326(f235(a931),f326(f255(a931,a931),x91843)),x91842))
% 198.08/197.85 [7135]~P3(x71352)+E(x71351,f188(f939(x71352,a927)))+E(x71353,f188(f939(x71352,a927)))+~P1(f326(f61(x71352),x71351))+~P1(f326(f61(x71352),x71353))+E(f12(x71352,f326(f326(f110(f939(x71352,a927)),x71353),x71351)),f326(f326(f110(x71352),f12(x71352,x71353)),f12(x71352,x71351)))
% 198.08/197.85 [7136]~P3(x71362)+E(x71361,f188(f939(x71362,a927)))+E(x71363,f188(f939(x71362,a927)))+~P1(f326(f61(x71362),x71361))+~P1(f326(f61(x71362),x71363))+E(f13(x71362,f326(f326(f110(f939(x71362,a927)),x71363),x71361)),f326(f326(f101(x71362),f13(x71362,x71363)),f13(x71362,x71361)))
% 198.08/197.85 [7137]~P111(x71372)+E(x71371,f188(f939(x71372,a927)))+E(x71373,f188(f939(x71372,a927)))+~P1(f326(f61(x71372),x71371))+~P1(f326(f61(x71372),x71373))+E(f16(x71372,f326(f326(f110(f939(x71372,a927)),x71373),x71371)),f326(f326(f232(x71372),f16(x71372,x71373)),f16(x71372,x71371)))
% 198.08/197.85 [7138]~P111(x71382)+E(x71381,f188(f939(x71382,a927)))+E(x71383,f188(f939(x71382,a927)))+~P1(f326(f61(x71382),x71381))+~P1(f326(f61(x71382),x71383))+E(f17(x71382,f326(f326(f110(f939(x71382,a927)),x71383),x71381)),f326(f326(f233(x71382),f17(x71382,x71383)),f17(x71382,x71381)))
% 198.08/197.85 [7790]~P100(x77902)+E(x77901,f188(f939(x77902,a927)))+E(x77903,f188(f939(x77902,a927)))+~P1(f326(f61(x77902),x77901))+~P1(f326(f61(x77902),x77903))+E(f326(f326(f80(x77902),f326(f63(x77902,f80(x77902)),x77903)),f326(f63(x77902,f80(x77902)),x77901)),f326(f63(x77902,f80(x77902)),f326(f326(f110(f939(x77902,a927)),x77903),x77901)))
% 198.08/197.85 [7950]~P111(x79502)+E(x79501,f188(f939(x79502,a927)))+E(x79503,f188(f939(x79502,a927)))+~P1(f326(f61(x79502),x79501))+~P1(f326(f61(x79502),x79503))+E(f326(f326(f232(x79502),f14(x79502,f232(x79502),x79503)),f14(x79502,f232(x79502),x79501)),f14(x79502,f232(x79502),f326(f326(f110(f939(x79502,a927)),x79503),x79501)))
% 198.08/197.85 [7951]~P111(x79512)+E(x79511,f188(f939(x79512,a927)))+E(x79513,f188(f939(x79512,a927)))+~P1(f326(f61(x79512),x79511))+~P1(f326(f61(x79512),x79513))+E(f326(f326(f233(x79512),f15(x79512,f233(x79512),x79513)),f15(x79512,f233(x79512),x79511)),f15(x79512,f233(x79512),f326(f326(f110(f939(x79512,a927)),x79513),x79511)))
% 198.08/197.85 [8989]~P1(f326(x89891,x89893))+P1(f326(x89891,f470(x89891,x89892)))+P1(f326(x89891,f455(x89891,x89892)))+~P1(f326(f326(f235(a1),f2(a1)),x89892))+~P1(f326(f326(f328(a1),x89893),f302(a1,f77(a1),x89892)))+P1(f326(x89891,f326(f326(f3(a1),f455(x89891,x89892)),f326(f326(f80(a1),f468(x89891,x89892)),x89892))))
% 198.08/197.85 [9292]~P1(f326(x92921,x92923))+~P1(f326(x92921,f455(x92921,x92922)))+P1(f326(x92921,f470(x92921,x92922)))+~P1(f326(f326(f235(a1),f2(a1)),x92922))+~P1(f326(f326(f328(a1),x92923),f302(a1,f77(a1),x92922)))+~P1(f326(x92921,f326(f326(f3(a1),f455(x92921,x92922)),f326(f326(f80(a1),f468(x92921,x92922)),x92922))))
% 198.08/197.85 [10548]~P102(x105482)+E(x105481,f188(f939(x105482,a927)))+E(x105483,f188(f939(x105482,a927)))+~P1(f326(f61(x105482),x105481))+~P1(f326(f61(x105482),x105483))+E(f13(x105482,f326(f261(x105482),f326(f326(f10(f939(x105482,a927),a927,x105482),f86(x105482)),f326(f326(f10(f939(x105482,f939(x105482,a927)),f939(x105482,a927),x105482),f326(f10(f939(x105482,a927),a927,x105482),f86(x105482))),f326(f326(f9(x105482,f939(x105482,f939(x105482,a927)),f939(x105482,f939(x105482,a927))),f326(f326(f10(f939(x105482,f939(f939(x105482,a927),f939(x105482,a927))),f939(f939(x105482,f939(x105482,a927)),f939(x105482,f939(x105482,a927))),x105482),f20(x105482,f939(x105482,a927),f939(x105482,a927))),f326(f326(f10(f939(x105482,f939(x105482,f939(a927,a927))),f939(x105482,f939(f939(x105482,a927),f939(x105482,a927))),x105482),f326(f10(f939(x105482,f939(a927,a927)),f939(f939(x105482,a927),f939(x105482,a927)),x105482),f20(x105482,a927,a927))),f326(f326(f10(f939(x105482,f939(x105482,a927)),f939(x105482,f939(x105482,f939(a927,a927))),x105482),f326(f10(f939(x105482,a927),f939(x105482,f939(a927,a927)),x105482),f326(f10(a927,f939(a927,a927),x105482),a324))),f326(f326(f9(x105482,f939(x105482,f939(x105482,x105482)),f939(x105482,f939(x105482,a927))),f326(f326(f10(f939(f939(x105482,x105482),f939(x105482,a927)),f939(f939(x105482,f939(x105482,x105482)),f939(x105482,f939(x105482,a927))),x105482),f10(f939(x105482,x105482),f939(x105482,a927),x105482)),f326(f326(f10(f939(x105482,a927),f939(f939(x105482,x105482),f939(x105482,a927)),x105482),f10(x105482,a927,x105482)),a323))),f110(x105482)))))),f326(f326(f9(x105482,f939(x105482,a927),f939(x105482,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x105482,a927),f939(x105482,a927)),x105482),f10(a927,a927,x105482)),f326(f326(f10(a927,f939(a927,a927),x105482),a324),f326(f326(f9(x105482,f939(x105482,a927),a927),f328(x105482)),x105483)))),f326(f326(f9(x105482,f939(x105482,a927),a927),f328(x105482)),x105481))))))),f326(f326(f110(x105482),f13(x105482,x105483)),f13(x105482,x105481)))
% 198.08/197.85 [10549]~P102(x105492)+E(x105491,f188(f939(x105492,a927)))+E(x105493,f188(f939(x105492,a927)))+~P1(f326(f61(x105492),x105491))+~P1(f326(f61(x105492),x105493))+E(f12(x105492,f326(f261(x105492),f326(f326(f10(f939(x105492,a927),a927,x105492),f86(x105492)),f326(f326(f10(f939(x105492,f939(x105492,a927)),f939(x105492,a927),x105492),f326(f10(f939(x105492,a927),a927,x105492),f86(x105492))),f326(f326(f9(x105492,f939(x105492,f939(x105492,a927)),f939(x105492,f939(x105492,a927))),f326(f326(f10(f939(x105492,f939(f939(x105492,a927),f939(x105492,a927))),f939(f939(x105492,f939(x105492,a927)),f939(x105492,f939(x105492,a927))),x105492),f20(x105492,f939(x105492,a927),f939(x105492,a927))),f326(f326(f10(f939(x105492,f939(x105492,f939(a927,a927))),f939(x105492,f939(f939(x105492,a927),f939(x105492,a927))),x105492),f326(f10(f939(x105492,f939(a927,a927)),f939(f939(x105492,a927),f939(x105492,a927)),x105492),f20(x105492,a927,a927))),f326(f326(f10(f939(x105492,f939(x105492,a927)),f939(x105492,f939(x105492,f939(a927,a927))),x105492),f326(f10(f939(x105492,a927),f939(x105492,f939(a927,a927)),x105492),f326(f10(a927,f939(a927,a927),x105492),a324))),f326(f326(f9(x105492,f939(x105492,f939(x105492,x105492)),f939(x105492,f939(x105492,a927))),f326(f326(f10(f939(f939(x105492,x105492),f939(x105492,a927)),f939(f939(x105492,f939(x105492,x105492)),f939(x105492,f939(x105492,a927))),x105492),f10(f939(x105492,x105492),f939(x105492,a927),x105492)),f326(f326(f10(f939(x105492,a927),f939(f939(x105492,x105492),f939(x105492,a927)),x105492),f10(x105492,a927,x105492)),a323))),f101(x105492)))))),f326(f326(f9(x105492,f939(x105492,a927),f939(x105492,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x105492,a927),f939(x105492,a927)),x105492),f10(a927,a927,x105492)),f326(f326(f10(a927,f939(a927,a927),x105492),a324),f326(f326(f9(x105492,f939(x105492,a927),a927),f328(x105492)),x105493)))),f326(f326(f9(x105492,f939(x105492,a927),a927),f328(x105492)),x105491))))))),f326(f326(f101(x105492),f12(x105492,x105493)),f12(x105492,x105491)))
% 198.08/197.85 [10550]~P111(x105502)+E(x105501,f188(f939(x105502,a927)))+E(x105503,f188(f939(x105502,a927)))+~P1(f326(f61(x105502),x105501))+~P1(f326(f61(x105502),x105503))+E(f15(x105502,f233(x105502),f326(f261(x105502),f326(f326(f10(f939(x105502,a927),a927,x105502),f86(x105502)),f326(f326(f10(f939(x105502,f939(x105502,a927)),f939(x105502,a927),x105502),f326(f10(f939(x105502,a927),a927,x105502),f86(x105502))),f326(f326(f9(x105502,f939(x105502,f939(x105502,a927)),f939(x105502,f939(x105502,a927))),f326(f326(f10(f939(x105502,f939(f939(x105502,a927),f939(x105502,a927))),f939(f939(x105502,f939(x105502,a927)),f939(x105502,f939(x105502,a927))),x105502),f20(x105502,f939(x105502,a927),f939(x105502,a927))),f326(f326(f10(f939(x105502,f939(x105502,f939(a927,a927))),f939(x105502,f939(f939(x105502,a927),f939(x105502,a927))),x105502),f326(f10(f939(x105502,f939(a927,a927)),f939(f939(x105502,a927),f939(x105502,a927)),x105502),f20(x105502,a927,a927))),f326(f326(f10(f939(x105502,f939(x105502,a927)),f939(x105502,f939(x105502,f939(a927,a927))),x105502),f326(f10(f939(x105502,a927),f939(x105502,f939(a927,a927)),x105502),f326(f10(a927,f939(a927,a927),x105502),a324))),f326(f326(f9(x105502,f939(x105502,f939(x105502,x105502)),f939(x105502,f939(x105502,a927))),f326(f326(f10(f939(f939(x105502,x105502),f939(x105502,a927)),f939(f939(x105502,f939(x105502,x105502)),f939(x105502,f939(x105502,a927))),x105502),f10(f939(x105502,x105502),f939(x105502,a927),x105502)),f326(f326(f10(f939(x105502,a927),f939(f939(x105502,x105502),f939(x105502,a927)),x105502),f10(x105502,a927,x105502)),a323))),f232(x105502)))))),f326(f326(f9(x105502,f939(x105502,a927),f939(x105502,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x105502,a927),f939(x105502,a927)),x105502),f10(a927,a927,x105502)),f326(f326(f10(a927,f939(a927,a927),x105502),a324),f326(f326(f9(x105502,f939(x105502,a927),a927),f328(x105502)),x105503)))),f326(f326(f9(x105502,f939(x105502,a927),a927),f328(x105502)),x105501))))))),f326(f326(f232(x105502),f15(x105502,f233(x105502),x105503)),f15(x105502,f233(x105502),x105501)))
% 198.08/197.85 [10551]~P111(x105512)+E(x105511,f188(f939(x105512,a927)))+E(x105513,f188(f939(x105512,a927)))+~P1(f326(f61(x105512),x105511))+~P1(f326(f61(x105512),x105513))+E(f14(x105512,f232(x105512),f326(f261(x105512),f326(f326(f10(f939(x105512,a927),a927,x105512),f86(x105512)),f326(f326(f10(f939(x105512,f939(x105512,a927)),f939(x105512,a927),x105512),f326(f10(f939(x105512,a927),a927,x105512),f86(x105512))),f326(f326(f9(x105512,f939(x105512,f939(x105512,a927)),f939(x105512,f939(x105512,a927))),f326(f326(f10(f939(x105512,f939(f939(x105512,a927),f939(x105512,a927))),f939(f939(x105512,f939(x105512,a927)),f939(x105512,f939(x105512,a927))),x105512),f20(x105512,f939(x105512,a927),f939(x105512,a927))),f326(f326(f10(f939(x105512,f939(x105512,f939(a927,a927))),f939(x105512,f939(f939(x105512,a927),f939(x105512,a927))),x105512),f326(f10(f939(x105512,f939(a927,a927)),f939(f939(x105512,a927),f939(x105512,a927)),x105512),f20(x105512,a927,a927))),f326(f326(f10(f939(x105512,f939(x105512,a927)),f939(x105512,f939(x105512,f939(a927,a927))),x105512),f326(f10(f939(x105512,a927),f939(x105512,f939(a927,a927)),x105512),f326(f10(a927,f939(a927,a927),x105512),a324))),f326(f326(f9(x105512,f939(x105512,f939(x105512,x105512)),f939(x105512,f939(x105512,a927))),f326(f326(f10(f939(f939(x105512,x105512),f939(x105512,a927)),f939(f939(x105512,f939(x105512,x105512)),f939(x105512,f939(x105512,a927))),x105512),f10(f939(x105512,x105512),f939(x105512,a927),x105512)),f326(f326(f10(f939(x105512,a927),f939(f939(x105512,x105512),f939(x105512,a927)),x105512),f10(x105512,a927,x105512)),a323))),f233(x105512)))))),f326(f326(f9(x105512,f939(x105512,a927),f939(x105512,a927)),f326(f326(f10(f939(a927,a927),f939(f939(x105512,a927),f939(x105512,a927)),x105512),f10(a927,a927,x105512)),f326(f326(f10(a927,f939(a927,a927),x105512),a324),f326(f326(f9(x105512,f939(x105512,a927),a927),f328(x105512)),x105513)))),f326(f326(f9(x105512,f939(x105512,a927),a927),f328(x105512)),x105511))))))),f326(f326(f233(x105512),f14(x105512,f232(x105512),x105513)),f14(x105512,f232(x105512),x105511)))
% 198.08/197.85 [7466]~P114(x74663)+E(x74661,x74662)+~E(f326(f326(f243(x74663),x74661),x74664),f326(f326(f243(x74663),x74662),x74664))+~P1(f326(f326(f234(x74663),f2(x74663)),x74662))+~P1(f326(f326(f234(x74663),f2(x74663)),x74661))+~P1(f326(f326(f235(a931),f2(a931)),x74664))
% 198.08/197.85 [7750]~P111(x77502)+E(x77501,f188(f939(x77502,a927)))+~P1(f326(f61(x77502),x77501))+~P1(f326(f326(f328(x77502),x77504),x77501))+P1(f326(f326(f234(x77502),x77503),x77504))+~P1(f326(f326(f234(x77502),x77503),f326(f63(x77502,f232(x77502)),x77501)))
% 198.08/197.85 [7751]~P105(x77512)+E(x77511,f188(f939(x77512,a927)))+~P1(f326(f61(x77512),x77511))+~P1(f326(f326(f328(x77512),x77514),x77511))+P1(f326(f326(f234(x77512),x77513),x77514))+~P1(f326(f326(f234(x77512),x77513),f326(f63(x77512,f101(x77512)),x77511)))
% 198.08/197.85 [7752]~P111(x77522)+E(x77521,f188(f939(x77522,a927)))+~P1(f326(f61(x77522),x77521))+~P1(f326(f326(f328(x77522),x77524),x77521))+P1(f326(f326(f235(x77522),x77523),x77524))+~P1(f326(f326(f235(x77522),x77523),f326(f63(x77522,f232(x77522)),x77521)))
% 198.08/197.85 [7651]E(x76511,f2(a1))+E(f326(f326(f36(a1),x76512),x76511),x76513)+~P1(f326(f326(f234(a1),x76514),f2(a1)))+~E(x76512,f326(f326(f79(a1),f326(f326(f80(a1),x76511),x76513)),x76514))+P1(f326(f326(f235(a1),f2(a1)),x76511))+~P1(f326(f326(f235(a1),x76511),x76514))
% 198.08/197.85 [7666]E(f45(a1,x76662,x76661),x76663)+E(x76661,f2(a1))+~P1(f326(f326(f234(a1),x76663),f2(a1)))+~E(x76662,f326(f326(f79(a1),f326(f326(f80(a1),x76661),x76664)),x76663))+P1(f326(f326(f235(a1),f2(a1)),x76661))+~P1(f326(f326(f235(a1),x76661),x76663))
% 198.08/197.85 [7789]E(x77891,f2(a1))+E(f326(f326(f36(a1),x77892),x77891),x77893)+~E(x77892,f326(f326(f79(a1),f326(f326(f80(a1),x77891),x77893)),x77894))+~P1(f326(f326(f234(a1),f2(a1)),x77894))+~P1(f326(f326(f235(a1),f2(a1)),x77891))+~P1(f326(f326(f235(a1),x77894),x77891))
% 198.08/197.85 [7811]E(f45(a1,x78112,x78111),x78113)+E(x78111,f2(a1))+~E(x78112,f326(f326(f79(a1),f326(f326(f80(a1),x78111),x78114)),x78113))+~P1(f326(f326(f234(a1),f2(a1)),x78113))+~P1(f326(f326(f235(a1),f2(a1)),x78111))+~P1(f326(f326(f235(a1),x78113),x78111))
% 198.08/197.85 [7954]~P111(x79542)+E(x79541,f188(f939(x79542,a927)))+~P1(f326(f61(x79542),x79541))+~P1(f326(f326(f234(x79542),x79544),x79543))+~P1(f326(f326(f328(x79542),x79544),x79541))+P1(f326(f326(f234(x79542),f326(f63(x79542,f232(x79542)),x79541)),x79543))
% 198.08/197.85 [7955]~P111(x79552)+E(x79551,f188(f939(x79552,a927)))+~P1(f326(f61(x79552),x79551))+~P1(f326(f326(f235(x79552),x79554),x79553))+~P1(f326(f326(f328(x79552),x79554),x79551))+P1(f326(f326(f235(x79552),f326(f63(x79552,f232(x79552)),x79551)),x79553))
% 198.08/197.85 [8526]~P1(f326(f326(f234(a1),x85264),f2(a1)))+~E(x85261,f326(f326(f79(a1),f326(f326(f80(a1),x85262),x85263)),x85264))+~P1(f326(f326(f234(a1),f2(a1)),x85264))+~P1(f326(f326(f235(a1),x85264),x85262))+~P1(f326(f326(f235(a1),x85262),x85264))+P1(f326(f49(x85261,x85262),f326(f326(f251(a1,a1),x85263),x85264)))
% 198.08/197.85 [8693]~P112(x86931)+P1(f326(f326(f235(f939(x86931,a927)),f302(x86931,x86932,x86933)),f302(x86931,x86934,x86935)))+~P1(f326(f326(f234(x86931),x86934),x86932))+~P1(f326(f326(f234(x86931),x86934),x86935))+~P1(f326(f326(f234(x86931),x86933),x86935))+~P1(f326(f326(f235(x86931),x86933),x86935))
% 198.08/197.85 [8694]~P112(x86941)+P1(f326(f326(f235(f939(x86941,a927)),f302(x86941,x86942,x86943)),f302(x86941,x86944,x86945)))+~P1(f326(f326(f234(x86941),x86943),x86945))+~P1(f326(f326(f234(x86941),x86944),x86945))+~P1(f326(f326(f234(x86941),x86944),x86942))+~P1(f326(f326(f235(x86941),x86944),x86942))
% 198.08/197.85 [9560]P63(x95602,x95603,x95604,x95601)+E(x95601,f188(f939(x95602,a927)))+~P1(f326(f61(x95602),x95604))+~P1(f326(f61(x95602),x95601))+~P1(f326(f326(x95603,f543(x95601,x95604,x95603,x95602)),x95605))+~P1(f326(f326(f328(x95602),x95605),x95601))
% 198.08/197.85 [9561]P63(x95612,x95613,x95614,x95611)+E(x95611,f188(f939(x95612,a927)))+~P1(f326(f61(x95612),x95614))+~P1(f326(f61(x95612),x95611))+~P1(f326(f326(x95613,f808(x95613,x95611,x95614,x95612)),x95615))+~P1(f326(f326(f328(x95612),x95615),x95611))
% 198.08/197.85 [9562]P63(x95622,x95623,x95624,x95621)+E(x95621,f188(f939(x95622,a927)))+~P1(f326(f61(x95622),x95624))+~P1(f326(f61(x95622),x95621))+~P1(f326(f326(x95623,f810(x95621,x95624,x95623,x95622)),x95625))+~P1(f326(f326(f328(x95622),x95625),x95621))
% 198.08/197.85 [9711]~E(x97113,x97115)+~P75(x97111)+~P79(x97111)+~P44(x97113)+E(f326(f326(f8(a1,x97111),x97112),x97113),f326(f326(f8(a1,x97111),x97114),x97115))+P1(f326(f326(f234(a1),f2(a1)),f544(x97112,x97114,x97113,x97115,x97111)))
% 198.08/197.85 [9712]~E(x97123,x97125)+~P75(x97121)+~P79(x97121)+~P44(x97123)+E(f326(f326(f11(a1,x97121),x97122),x97123),f326(f326(f11(a1,x97121),x97124),x97125))+P1(f326(f326(f234(a1),f2(a1)),f545(x97122,x97124,x97123,x97125,x97121)))
% 198.08/197.85 [9887]~E(x98875,x98873)+~P75(x98871)+~P79(x98871)+~P44(x98875)+~E(f326(x98872,f544(x98874,x98872,x98875,x98873,x98871)),f326(x98874,f544(x98874,x98872,x98875,x98873,x98871)))+E(f326(f326(f8(a1,x98871),x98872),x98873),f326(f326(f8(a1,x98871),x98874),x98875))
% 198.08/197.85 [9888]~E(x98885,x98883)+~P75(x98881)+~P79(x98881)+~P44(x98885)+~E(f326(x98882,f545(x98884,x98882,x98885,x98883,x98881)),f326(x98884,f545(x98884,x98882,x98885,x98883,x98881)))+E(f326(f326(f11(a1,x98881),x98882),x98883),f326(f326(f11(a1,x98881),x98884),x98885))
% 198.08/197.85 [9975]~P83(x99753)+E(f326(x99751,x99752),f2(x99753))+~E(f326(f326(f8(x99754,x99753),x99751),x99755),f2(x99753))+~P1(f326(f61(x99754),x99755))+P1(f326(f326(f328(x99754),f423(x99752,x99751,x99755,x99754,x99753)),x99755))+~P1(f326(f326(f328(x99754),x99752),x99755))
% 198.08/197.85 [10103]~P83(x101033)+E(f326(x101031,x101032),f2(x101033))+~E(f326(f326(f8(x101034,x101033),x101031),x101035),f2(x101033))+~P1(f326(f61(x101034),x101035))+~P1(f326(f326(f328(x101034),x101032),x101035))+~P1(f326(f326(f234(x101033),f2(x101033)),f326(x101031,f423(x101032,x101031,x101035,x101034,x101033))))
% 198.08/197.85 [8611]~P140(x86111)+~P1(f326(f326(f234(x86111),x86113),x86115))+~P1(f326(f326(f234(x86111),x86112),x86114))+~P1(f326(f326(f234(x86111),f2(x86111)),x86113))+~P1(f326(f326(f234(x86111),f2(x86111)),x86114))+P1(f326(f326(f234(x86111),f326(f326(f80(x86111),x86112),x86113)),f326(f326(f80(x86111),x86114),x86115)))
% 198.08/197.85 [8612]~P140(x86121)+~P1(f326(f326(f234(x86121),x86123),x86125))+~P1(f326(f326(f234(x86121),x86122),x86124))+~P1(f326(f326(f234(x86121),f2(x86121)),x86123))+~P1(f326(f326(f234(x86121),f2(x86121)),x86122))+P1(f326(f326(f234(x86121),f326(f326(f80(x86121),x86122),x86123)),f326(f326(f80(x86121),x86124),x86125)))
% 198.08/197.85 [8613]~P71(x86131)+~P1(f326(f326(f235(x86131),f2(x86131)),x86135))+~P1(f326(f326(f234(x86131),x86135),x86133))+~P1(f326(f326(f234(x86131),x86132),x86134))+~P1(f326(f326(f234(x86131),f2(x86131)),x86132))+P1(f326(f326(f234(x86131),f326(f326(f290(x86131),x86132),x86133)),f326(f326(f290(x86131),x86134),x86135)))
% 198.08/197.85 [8614]~P137(x86141)+~P1(f326(f326(f234(x86141),x86143),x86145))+~P1(f326(f326(f234(x86141),f2(x86141)),x86142))+~P1(f326(f326(f235(x86141),x86142),x86144))+~P1(f326(f326(f235(x86141),f2(x86141)),x86143))+P1(f326(f326(f235(x86141),f326(f326(f80(x86141),x86142),x86143)),f326(f326(f80(x86141),x86144),x86145)))
% 198.08/197.85 [8615]~P137(x86151)+~P1(f326(f326(f234(x86151),x86152),x86154))+~P1(f326(f326(f234(x86151),f2(x86151)),x86153))+~P1(f326(f326(f235(x86151),x86153),x86155))+~P1(f326(f326(f235(x86151),f2(x86151)),x86152))+P1(f326(f326(f235(x86151),f326(f326(f80(x86151),x86152),x86153)),f326(f326(f80(x86151),x86154),x86155)))
% 198.08/197.85 [8616]~P137(x86161)+~P1(f326(f326(f234(x86161),f2(x86161)),x86163))+~P1(f326(f326(f234(x86161),f2(x86161)),x86162))+~P1(f326(f326(f235(x86161),x86163),x86165))+~P1(f326(f326(f235(x86161),x86162),x86164))+P1(f326(f326(f235(x86161),f326(f326(f80(x86161),x86162),x86163)),f326(f326(f80(x86161),x86164),x86165)))
% 198.08/197.85 [8617]~P137(x86171)+~P1(f326(f326(f234(x86171),f2(x86171)),x86173))+~P1(f326(f326(f235(x86171),x86173),x86175))+~P1(f326(f326(f235(x86171),x86172),x86174))+~P1(f326(f326(f235(x86171),f2(x86171)),x86174))+P1(f326(f326(f235(x86171),f326(f326(f80(x86171),x86172),x86173)),f326(f326(f80(x86171),x86174),x86175)))
% 198.08/197.85 [8618]~P71(x86181)+~P1(f326(f326(f234(x86181),x86185),x86183))+~P1(f326(f326(f234(x86181),f2(x86181)),x86182))+~P1(f326(f326(f235(x86181),x86182),x86184))+~P1(f326(f326(f235(x86181),f2(x86181)),x86185))+P1(f326(f326(f235(x86181),f326(f326(f290(x86181),x86182),x86183)),f326(f326(f290(x86181),x86184),x86185)))
% 198.08/197.85 [8619]~P71(x86191)+~P1(f326(f326(f234(x86191),x86192),x86194))+~P1(f326(f326(f235(x86191),x86195),x86193))+~P1(f326(f326(f235(x86191),f2(x86191)),x86195))+~P1(f326(f326(f235(x86191),f2(x86191)),x86192))+P1(f326(f326(f235(x86191),f326(f326(f290(x86191),x86192),x86193)),f326(f326(f290(x86191),x86194),x86195)))
% 198.08/197.85 [10018]~P90(x100185)+~P79(x100185)+E(x100181,f188(f939(x100182,a927)))+~P1(f326(f61(x100182),x100181))+P1(f326(f326(f328(x100182),f809(x100183,x100184,x100181,x100182,x100185)),x100181))+P1(f326(f326(f235(x100185),f326(f326(f8(x100182,x100185),x100184),x100181)),f326(f326(f8(x100182,x100185),x100183),x100181)))
% 198.08/197.85 [10128]~P88(x101281)+~P79(x101281)+~P1(f326(f61(x101282),x101285))+~P1(f326(f326(f234(x101281),f2(x101281)),f326(x101283,f902(x101283,x101284,x101285,x101282,x101281))))+P1(f326(f326(f234(x101281),f326(f326(f8(x101282,x101281),x101283),x101284)),f326(f326(f8(x101282,x101281),x101283),x101285)))+~P1(f326(f326(f234(f939(x101282,a927)),x101284),x101285))
% 198.08/197.85 [10299]~P90(x102993)+~P79(x102993)+E(x102991,f188(f939(x102992,a927)))+~P1(f326(f61(x102992),x102991))+~P1(f326(f326(f235(x102993),f326(x102994,f809(x102995,x102994,x102991,x102992,x102993))),f326(x102995,f809(x102995,x102994,x102991,x102992,x102993))))+P1(f326(f326(f235(x102993),f326(f326(f8(x102992,x102993),x102994),x102991)),f326(f326(f8(x102992,x102993),x102995),x102991)))
% 198.08/197.85 [7320]~P19(x73202,x73205,x73204)+E(x73201,f188(f939(x73202,a927)))+E(x73203,f188(f939(x73202,a927)))+~P1(f326(f61(x73202),x73201))+~P1(f326(f61(x73202),x73203))+E(f326(x73204,f326(f326(f110(f939(x73202,a927)),x73203),x73201)),f326(f326(x73205,f326(x73204,x73203)),f326(x73204,x73201)))
% 198.08/197.85 [7921]~P151(x79211,x79213,x79214)+P1(f326(x79211,x79212))+~P1(f326(f326(f235(a1),x79214),f2(a1)))+~P1(f326(f326(f234(a1),x79215),f2(a1)))+~E(x79213,f326(f326(f79(a1),f326(f326(f80(a1),x79214),x79212)),x79215))+~P1(f326(f326(f235(a1),x79214),x79215))
% 198.08/197.85 [7922]~P150(x79221,x79223,x79224)+P1(f326(x79221,x79222))+~P1(f326(f326(f235(a1),x79224),f2(a1)))+~P1(f326(f326(f234(a1),x79222),f2(a1)))+~E(x79223,f326(f326(f79(a1),f326(f326(f80(a1),x79224),x79225)),x79222))+~P1(f326(f326(f235(a1),x79224),x79222))
% 198.08/197.85 [7963]~P151(x79631,x79633,x79634)+P1(f326(x79631,x79632))+~E(x79633,f326(f326(f79(a1),f326(f326(f80(a1),x79634),x79632)),x79635))+~P1(f326(f326(f234(a1),f2(a1)),x79635))+~P1(f326(f326(f235(a1),f2(a1)),x79634))+~P1(f326(f326(f235(a1),x79635),x79634))
% 198.08/197.85 [7964]~P150(x79641,x79643,x79644)+P1(f326(x79641,x79642))+~E(x79643,f326(f326(f79(a1),f326(f326(f80(a1),x79644),x79645)),x79642))+~P1(f326(f326(f234(a1),f2(a1)),x79642))+~P1(f326(f326(f235(a1),f2(a1)),x79644))+~P1(f326(f326(f235(a1),x79642),x79644))
% 198.08/197.85 [8902]P1(f326(f326(x89021,x89022),x89023))+~P1(f326(f326(x89021,f326(f326(f36(a1),x89024),x89025)),f45(a1,x89024,x89025)))+~P1(f326(f326(f235(a1),x89025),f2(a1)))+~P1(f326(f326(f234(a1),x89023),f2(a1)))+~E(x89024,f326(f326(f79(a1),f326(f326(f80(a1),x89025),x89022)),x89023))+~P1(f326(f326(f235(a1),x89025),x89023))
% 198.08/197.85 [8911]P1(f326(f326(x89111,x89112),x89113))+~P1(f326(f326(x89111,f326(f326(f36(a1),x89114),x89115)),f45(a1,x89114,x89115)))+~E(x89114,f326(f326(f79(a1),f326(f326(f80(a1),x89115),x89112)),x89113))+~P1(f326(f326(f234(a1),f2(a1)),x89113))+~P1(f326(f326(f235(a1),f2(a1)),x89115))+~P1(f326(f326(f235(a1),x89113),x89115))
% 198.08/197.85 [9173]E(x91731,x91732)+~P60(x91733,x91735,x91734)+~P1(f326(f326(f328(x91733),x91732),x91735))+~P1(f326(f326(f328(x91733),x91731),x91735))+P1(f326(f326(f328(f938(x91733,x91733)),f326(f326(f251(x91733,x91733),x91731),x91732)),x91734))+P1(f326(f326(f328(f938(x91733,x91733)),f326(f326(f251(x91733,x91733),x91732),x91731)),x91734))
% 198.08/197.85 [10045]~P88(x100455)+~P79(x100455)+~P1(f326(f61(x100451),x100454))+P1(f326(f326(f234(x100455),f326(f326(f8(x100451,x100455),x100452),x100453)),f326(f326(f8(x100451,x100455),x100452),x100454)))+~P1(f326(f326(f234(f939(x100451,a927)),x100453),x100454))+P1(f326(f326(f328(x100451),f902(x100452,x100453,x100454,x100451,x100455)),f326(f326(f3(f939(x100451,a927)),x100454),x100453)))
% 198.08/197.85 [10136]E(x101361,f188(f939(x101362,a927)))+~P1(f326(f61(x101362),x101363))+~P1(f326(f61(x101362),x101361))+P1(f326(f326(f328(f938(f939(x101362,a927),f939(x101362,a927))),f326(f326(f251(f939(x101362,a927),f939(x101362,a927)),x101363),x101361)),f318(x101362,x101364)))+~P1(f326(f326(f328(x101362),x101365),x101361))+~P1(f326(f326(f328(f938(x101362,x101362)),f326(f326(f251(x101362,x101362),f547(x101364,x101361,x101363,x101362)),x101365)),x101364))
% 198.08/197.85 [10137]E(x101371,f188(f939(x101372,a927)))+~P1(f326(f61(x101372),x101373))+~P1(f326(f61(x101372),x101371))+P1(f326(f326(f328(f938(f939(x101372,a927),f939(x101372,a927))),f326(f326(f251(f939(x101372,a927),f939(x101372,a927)),x101373),x101371)),f318(x101372,x101374)))+~P1(f326(f326(f328(x101372),x101375),x101371))+~P1(f326(f326(f328(f938(x101372,x101372)),f326(f326(f251(x101372,x101372),f619(x101374,x101371,x101373,x101372)),x101375)),x101374))
% 198.08/197.85 [10303]~P83(x103031)+~E(f326(f326(f8(x103035,x103031),x103032),x103036),x103034)+~P1(f326(f61(x103035),x103036))+P1(f326(f326(f328(x103035),f427(x103033,x103034,x103032,x103036,x103035,x103031)),x103036))+P1(f326(f326(f234(x103031),f326(x103032,x103033)),x103034))+~P1(f326(f326(f328(x103035),x103033),x103036))
% 198.08/197.85 [10352]~P83(x103521)+~E(f326(f326(f8(x103525,x103521),x103522),x103526),x103524)+~P1(f326(f61(x103525),x103526))+~P1(f326(f326(f328(x103525),x103523),x103526))+~P1(f326(f326(f234(x103521),f2(x103521)),f326(x103522,f427(x103523,x103524,x103522,x103526,x103525,x103521))))+P1(f326(f326(f234(x103521),f326(x103522,x103523)),x103524))
% 198.08/197.85 [10494]~E(x104945,x104948)+~E(x104944,x104947)+~P110(x104941)+~P79(x104942)+E(f326(f326(f8(x104941,x104942),x104943),f326(f301(x104941,x104944),x104945)),f326(f326(f8(x104941,x104942),x104946),f326(f301(x104941,x104947),x104948)))+P1(f326(f326(f234(x104941),x104944),f624(x104943,x104946,x104945,x104948,x104944,x104947,x104941,x104942)))
% 198.08/197.85 [10511]~E(x105117,x105114)+~E(x105118,x105115)+~P110(x105111)+~P79(x105112)+~E(f326(x105113,f624(x105116,x105113,x105118,x105115,x105117,x105114,x105111,x105112)),f326(x105116,f624(x105116,x105113,x105118,x105115,x105117,x105114,x105111,x105112)))+E(f326(f326(f8(x105111,x105112),x105113),f326(f301(x105111,x105114),x105115)),f326(f326(f8(x105111,x105112),x105116),f326(f301(x105111,x105117),x105118)))
% 198.08/197.85 [10514]~E(x105144,x105147)+~E(x105145,x105148)+~P110(x105141)+~P79(x105142)+E(f326(f326(f8(x105141,x105142),x105143),f326(f301(x105141,x105144),x105145)),f326(f326(f8(x105141,x105142),x105146),f326(f301(x105141,x105147),x105148)))+P1(f326(f326(f235(x105141),f624(x105143,x105146,x105145,x105148,x105144,x105147,x105141,x105142)),x105145))
% 198.08/197.85 [10143]~P10(x101435,x101439,x101436)+~P10(x101431,x1014310,x101433)+~P14(x101431,x101435,f939(x101432,a927),x101433,x101436,x101438)+~P1(f326(f326(f328(x101435),x101437),x101439))+~P1(f326(f326(f328(x101431),x101434),x1014310))+E(f326(f326(f40(x101431,f939(x101432,a927)),f326(f284(x101431,x101431,x101433),f326(f326(f308(x101431),x101434),f188(f939(x101431,a927))))),f326(f326(f10(f939(x101435,f939(x101432,a927)),f939(x101432,a927),x101431),f326(f40(x101435,f939(x101432,a927)),f326(f284(x101435,x101435,x101436),f326(f326(f308(x101435),x101437),f188(f939(x101435,a927)))))),x101438)),f326(f326(x101438,x101434),x101437))
% 198.08/197.85 [5843]~P111(x58433)+~P15(x58433,x58432)+~P15(x58433,x58431)+E(x58431,x58432)+~E(f326(f172(x58433),x58431),f326(f172(x58433),x58432))+~P1(f326(f137(x58433),x58432))+~P1(f326(f137(x58433),x58431))
% 198.08/197.85 [5175]~P135(x51752)+~P136(x51752)+~P147(x51752)+~P118(x51752)+~E(x51753,f2(x51752))+E(x51751,f2(a931))+E(f326(f326(f243(x51752),x51753),x51751),f2(x51752))
% 198.08/197.85 [9437]E(x94371,f2(a931))+~E(x94372,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x94373)),x94371)),f326(f255(a931,a931),x94373)))+P1(f326(f48(x94372,x94371),x94373))+~P1(f326(f326(f234(a931),f326(f255(a931,a931),x94373)),f2(a931)))+~P1(f326(f326(f234(a931),f2(a931)),f326(f255(a931,a931),x94373)))+~P1(f326(f326(f235(a931),x94371),f326(f255(a931,a931),x94373)))+~P1(f326(f326(f235(a931),f326(f255(a931,a931),x94373)),x94371))
% 198.08/197.85 [9445]~E(f326(f250(a931,a931),x94453),f2(a931))+~E(x94451,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),x94453)),x94452)),f326(f255(a931,a931),x94453)))+P1(f326(f48(x94451,x94452),x94453))+~P1(f326(f326(f234(a931),f326(f255(a931,a931),x94453)),f2(a931)))+~P1(f326(f326(f234(a931),f2(a931)),f326(f255(a931,a931),x94453)))+~P1(f326(f326(f235(a931),x94452),f326(f255(a931,a931),x94453)))+~P1(f326(f326(f235(a931),f326(f255(a931,a931),x94453)),x94452))
% 198.08/197.85 [8281]~P73(x82812)+E(x82811,f188(f939(x82812,a927)))+E(x82813,f188(f939(x82812,a927)))+~P1(f326(f61(x82812),x82811))+~P1(f326(f61(x82812),x82813))+~E(f326(f326(f101(f939(x82812,a927)),x82813),x82811),f188(f939(x82812,a927)))+E(f326(f326(f80(x82812),f326(f63(x82812,f80(x82812)),x82813)),f326(f63(x82812,f80(x82812)),x82811)),f326(f63(x82812,f80(x82812)),f326(f326(f110(f939(x82812,a927)),x82813),x82811)))
% 198.08/197.85 [8057]E(x80571,f2(a1))+E(f326(f326(f36(a1),x80572),x80571),x80573)+~P1(f326(f326(f234(a1),x80574),f2(a1)))+~E(x80572,f326(f326(f79(a1),f326(f326(f80(a1),x80571),x80573)),x80574))+~P1(f326(f326(f234(a1),f2(a1)),x80574))+~P1(f326(f326(f235(a1),x80574),x80571))+~P1(f326(f326(f235(a1),x80571),x80574))
% 198.08/197.85 [8065]E(f45(a1,x80652,x80651),x80653)+E(x80651,f2(a1))+~P1(f326(f326(f234(a1),x80653),f2(a1)))+~E(x80652,f326(f326(f79(a1),f326(f326(f80(a1),x80651),x80654)),x80653))+~P1(f326(f326(f234(a1),f2(a1)),x80653))+~P1(f326(f326(f235(a1),x80653),x80651))+~P1(f326(f326(f235(a1),x80651),x80653))
% 198.08/197.85 [7102]~P65(x71022)+E(x71021,f2(x71022))+E(x71023,f2(x71022))+~E(f326(f326(f36(x71022),x71024),x71023),f326(f326(f36(x71022),x71025),x71021))+E(f326(f326(f80(x71022),x71024),x71021),f326(f326(f80(x71022),x71023),x71025))+~P1(f326(f326(f286(x71022),x71021),x71025))+~P1(f326(f326(f286(x71022),x71023),x71024))
% 198.08/197.85 [7103]~P65(x71032)+E(x71031,f2(x71032))+E(x71033,f2(x71032))+~E(f326(f326(f80(x71032),x71034),x71033),f326(f326(f80(x71032),x71031),x71035))+E(f326(f326(f36(x71032),x71034),x71031),f326(f326(f36(x71032),x71035),x71033))+~P1(f326(f326(f286(x71032),x71031),x71034))+~P1(f326(f326(f286(x71032),x71033),x71035))
% 198.08/197.85 [7972]~P20(x79722,x79725,x79724)+E(x79721,f188(f939(x79722,a927)))+E(x79723,f188(f939(x79722,a927)))+~P1(f326(f61(x79722),x79721))+~P1(f326(f61(x79722),x79723))+~E(f326(f326(f101(f939(x79722,a927)),x79723),x79721),f188(f939(x79722,a927)))+E(f326(x79724,f326(f326(f110(f939(x79722,a927)),x79723),x79721)),f326(f326(x79725,f326(x79724,x79723)),f326(x79724,x79721)))
% 198.08/197.85 [9683]~P27(x96833,x96831,x96835,x96834)+~P27(x96831,x96833,x96836,x96832)+E(f326(f35(x96831),x96832),f326(f35(x96833),x96834))+~P1(f326(f61(x96833),x96834))+~P1(f326(f61(x96831),x96832))+~P1(f326(f326(f234(f939(x96833,a927)),f326(f309(x96831,x96833,x96836),x96832)),x96834))+~P1(f326(f326(f234(f939(x96831,a927)),f326(f309(x96833,x96831,x96835),x96834)),x96832))
% 198.08/197.85 [9625]~P1(f326(f326(f235(a1),f326(f326(f79(a1),f326(f326(f80(a1),x96255),x96251)),x96256)),f2(a1)))+~E(f326(f326(f79(a1),f326(f326(f80(a1),x96253),x96252)),x96254),f326(f326(f79(a1),f326(f326(f80(a1),x96255),x96251)),x96256))+~P1(f326(f326(f234(a1),f2(a1)),x96256))+~P1(f326(f326(f235(a1),f2(a1)),x96255))+~P1(f326(f326(f234(a1),x96255),x96253))+~P1(f326(f326(f235(a1),x96254),x96253))+P1(f326(f326(f234(a1),x96251),x96252))
% 198.08/197.85 [9380]~E(f326(f326(f79(a1),f326(f326(f80(a1),x93803),x93801)),x93804),f326(f326(f79(a1),f326(f326(f80(a1),x93805),x93802)),x93806))+~P1(f326(f326(f234(a1),f2(a1)),x93804))+~P1(f326(f326(f235(a1),f2(a1)),x93805))+~P1(f326(f326(f234(a1),x93805),x93803))+~P1(f326(f326(f235(a1),x93806),x93805))+P1(f326(f326(f234(a1),x93801),x93802))+~P1(f326(f326(f234(a1),f2(a1)),f326(f326(f79(a1),f326(f326(f80(a1),x93805),x93802)),x93806)))
% 198.08/197.85 [9565]~P134(x95651)+~E(f326(f326(f79(x95651),x95652),x95654),f77(x95651))+~P1(f326(f326(f234(x95651),x95655),x95656))+~P1(f326(f326(f234(x95651),x95653),x95656))+~P1(f326(f326(f234(x95651),f2(x95651)),x95654))+~P1(f326(f326(f234(x95651),f2(x95651)),x95652))+P1(f326(f326(f234(x95651),f326(f326(f79(x95651),f326(f326(f80(x95651),x95652),x95653)),f326(f326(f80(x95651),x95654),x95655))),x95656))
% 198.08/197.85 [9566]~P132(x95661)+~E(f326(f326(f79(x95661),x95662),x95664),f77(x95661))+~P1(f326(f326(f234(x95661),f2(x95661)),x95664))+~P1(f326(f326(f234(x95661),f2(x95661)),x95662))+~P1(f326(f326(f235(x95661),x95665),x95666))+~P1(f326(f326(f235(x95661),x95663),x95666))+P1(f326(f326(f235(x95661),f326(f326(f79(x95661),f326(f326(f80(x95661),x95662),x95663)),f326(f326(f80(x95661),x95664),x95665))),x95666))
% 198.08/197.85 [10402]~P10(x104027,x104026,x104025)+E(x104021,x104022)+~P13(x104027,f939(x104024,a927),x104025,x104023)+E(f326(x104023,f515(x104021,x104022,x104023,x104024,x104025,x104026,x104027)),f326(x104023,f516(x104021,x104022,x104023,x104024,x104025,x104026,x104027)))+~E(f326(f326(f40(x104027,f939(x104024,a927)),x104021),x104023),f326(f326(f40(x104027,f939(x104024,a927)),x104022),x104023))+~P1(f326(f326(f328(f939(x104027,a927)),x104022),f326(f326(f60(x104027),x104026),x104025)))+~P1(f326(f326(f328(f939(x104027,a927)),x104021),f326(f326(f60(x104027),x104026),x104025)))
% 198.08/197.85 [10447]~P10(x104473,x104477,x104476)+E(x104471,x104472)+~P13(x104473,f939(x104475,a927),x104476,x104474)+~E(f326(f326(f40(x104473,f939(x104475,a927)),x104471),x104474),f326(f326(f40(x104473,f939(x104475,a927)),x104472),x104474))+P1(f326(f326(f328(x104473),f516(x104471,x104472,x104474,x104475,x104476,x104477,x104473)),x104477))+~P1(f326(f326(f328(f939(x104473,a927)),x104472),f326(f326(f60(x104473),x104477),x104476)))+~P1(f326(f326(f328(f939(x104473,a927)),x104471),f326(f326(f60(x104473),x104477),x104476)))
% 198.08/197.85 [10448]~P10(x104483,x104487,x104486)+E(x104481,x104482)+~P13(x104483,f939(x104485,a927),x104486,x104484)+~E(f326(f326(f40(x104483,f939(x104485,a927)),x104481),x104484),f326(f326(f40(x104483,f939(x104485,a927)),x104482),x104484))+P1(f326(f326(f328(x104483),f515(x104481,x104482,x104484,x104485,x104486,x104487,x104483)),x104487))+~P1(f326(f326(f328(f939(x104483,a927)),x104482),f326(f326(f60(x104483),x104487),x104486)))+~P1(f326(f326(f328(f939(x104483,a927)),x104481),f326(f326(f60(x104483),x104487),x104486)))
% 198.08/197.85 [10530]E(x105301,x105302)+~P10(x105303,x105306,x105307)+~P13(x105303,f939(x105304,a927),x105307,x105305)+~E(f326(f326(f40(x105303,f939(x105304,a927)),x105301),x105305),f326(f326(f40(x105303,f939(x105304,a927)),x105302),x105305))+~P1(f326(f326(f328(f938(x105303,x105303)),f326(f326(f251(x105303,x105303),f516(x105301,x105302,x105305,x105304,x105307,x105306,x105303)),f515(x105301,x105302,x105305,x105304,x105307,x105306,x105303))),x105307))+~P1(f326(f326(f328(f939(x105303,a927)),x105302),f326(f326(f60(x105303),x105306),x105307)))+~P1(f326(f326(f328(f939(x105303,a927)),x105301),f326(f326(f60(x105303),x105306),x105307)))
% 198.08/197.85 [9379]~P10(x93791,x93797,x93794)+~E(x93795,x93796)+~P1(f326(f326(f328(x93791),x93793),x93796))+~P1(f326(f326(f328(x93791),x93792),x93795))+~P1(f326(f326(f328(f939(x93791,a927)),x93796),f326(f326(f60(x93791),x93797),x93794)))+~P1(f326(f326(f328(f939(x93791,a927)),x93795),f326(f326(f60(x93791),x93797),x93794)))+P1(f326(f326(f328(f938(x93791,x93791)),f326(f326(f251(x93791,x93791),x93792),x93793)),x93794))
% 198.08/197.85 [9524]E(x95241,x95242)+~P10(x95243,x95244,x95245)+~P1(f326(f326(f328(x95243),x95246),x95242))+~P1(f326(f326(f328(x95243),x95247),x95241))+~P1(f326(f326(f328(f939(x95243,a927)),x95242),f326(f326(f60(x95243),x95244),x95245)))+~P1(f326(f326(f328(f939(x95243,a927)),x95241),f326(f326(f60(x95243),x95244),x95245)))+~P1(f326(f326(f328(f938(x95243,x95243)),f326(f326(f251(x95243,x95243),x95247),x95246)),x95245))
% 198.08/197.85 [10557]~P10(x105579,x105578,x105577)+~P10(x105571,x1055711,x1055710)+~P14(x105571,x105579,f939(x105576,a927),x1055710,x105577,x105575)+P1(f326(f326(f328(x105571),f518(x105572,x105573,x105574,x105575,x105576,x105577,x105578,x105579,x1055710,x1055711,x105571)),x1055711))+~P1(f326(f326(f328(f939(x105579,a927)),x105573),f326(f326(f60(x105579),x105578),x105577)))+~P1(f326(f326(f328(f939(x105571,a927)),x105574),f326(f326(f60(x105571),x1055711),x1055710)))+P1(f326(f326(f328(f939(x105576,a927)),f326(f326(f40(x105571,f939(x105576,a927)),x105574),f326(f326(f10(f939(x105579,f939(x105576,a927)),f939(x105576,a927),x105571),f326(f40(x105579,f939(x105576,a927)),x105573)),x105575))),x105572))
% 198.08/197.85 [10558]~P10(x1055811,x1055810,x105589)+~P10(x105581,x105588,x105587)+~P14(x1055811,x105581,f939(x105586,a927),x105589,x105587,x105585)+P1(f326(f326(f328(x105581),f519(x105582,x105583,x105584,x105585,x105586,x105587,x105588,x105581,x105589,x1055810,x1055811)),x105588))+~P1(f326(f326(f328(f939(x1055811,a927)),x105584),f326(f326(f60(x1055811),x1055810),x105589)))+~P1(f326(f326(f328(f939(x105581,a927)),x105583),f326(f326(f60(x105581),x105588),x105587)))+P1(f326(f326(f328(f939(x105586,a927)),f326(f326(f40(x1055811,f939(x105586,a927)),x105584),f326(f326(f10(f939(x105581,f939(x105586,a927)),f939(x105586,a927),x1055811),f326(f40(x105581,f939(x105586,a927)),x105583)),x105585))),x105582))
% 198.08/197.85 [10561]~P10(x105612,x105618,x105619)+~P10(x105614,x1056110,x1056111)+~P14(x105612,x105614,f939(x105611,a927),x105619,x1056111,x105616)+~P1(f326(f326(f328(f939(x105612,a927)),x105613),f326(f326(f60(x105612),x105618),x105619)))+~P1(f326(f326(f328(f939(x105614,a927)),x105615),f326(f326(f60(x105614),x1056110),x1056111)))+~P1(f326(f326(f328(f939(x105611,a927)),f326(f326(x105616,f518(x105617,x105615,x105613,x105616,x105611,x1056111,x1056110,x105614,x105619,x105618,x105612)),f519(x105617,x105615,x105613,x105616,x105611,x1056111,x1056110,x105614,x105619,x105618,x105612))),x105617))+P1(f326(f326(f328(f939(x105611,a927)),f326(f326(f40(x105612,f939(x105611,a927)),x105613),f326(f326(f10(f939(x105614,f939(x105611,a927)),f939(x105611,a927),x105612),f326(f40(x105614,f939(x105611,a927)),x105615)),x105616))),x105617))
% 198.08/197.85 [9423]E(x94231,x94232)+~P111(x94234)+~P27(x94233,x94234,x94235,f326(f326(f110(f939(x94233,a927)),f326(f172(x94233),x94231)),f326(f172(x94233),x94232)))+~E(f326(f172(x94233),x94231),f326(f172(x94233),x94232))+~P15(x94234,f326(f326(f154(x94233,x94234),x94235),x94232))+~P15(x94234,f326(f326(f154(x94233,x94234),x94235),x94231))+~P1(f326(f137(x94234),f326(f326(f154(x94233,x94234),x94235),x94232)))+~P1(f326(f137(x94234),f326(f326(f154(x94233,x94234),x94235),x94231)))
% 198.08/197.85 %EqnAxiom
% 198.08/197.85 [1]E(x11,x11)
% 198.08/197.85 [2]E(x22,x21)+~E(x21,x22)
% 198.08/197.85 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 198.08/197.85 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 198.08/197.85 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 198.08/197.85 [6]~E(x61,x62)+E(f100(x61),f100(x62))
% 198.08/197.85 [7]~E(x71,x72)+E(f188(x71),f188(x72))
% 198.08/197.85 [8]~E(x81,x82)+E(f326(x81,x83),f326(x82,x83))
% 198.08/197.85 [9]~E(x91,x92)+E(f326(x93,x91),f326(x93,x92))
% 198.08/197.85 [10]~E(x101,x102)+E(f28(x101),f28(x102))
% 198.08/197.85 [11]~E(x111,x112)+E(f9(x111,x113,x114),f9(x112,x113,x114))
% 198.08/197.85 [12]~E(x121,x122)+E(f9(x123,x121,x124),f9(x123,x122,x124))
% 198.08/197.85 [13]~E(x131,x132)+E(f9(x133,x134,x131),f9(x133,x134,x132))
% 198.08/197.85 [14]~E(x141,x142)+E(f101(x141),f101(x142))
% 198.08/197.85 [15]~E(x151,x152)+E(f232(x151),f232(x152))
% 198.08/197.85 [16]~E(x161,x162)+E(f110(x161),f110(x162))
% 198.08/197.85 [17]~E(x171,x172)+E(f233(x171),f233(x172))
% 198.08/197.85 [18]~E(x181,x182)+E(f102(x181),f102(x182))
% 198.08/197.85 [19]~E(x191,x192)+E(f31(x191),f31(x192))
% 198.08/197.85 [20]~E(x201,x202)+E(f83(x201),f83(x202))
% 198.08/197.85 [21]~E(x211,x212)+E(f939(x211,x213),f939(x212,x213))
% 198.08/197.85 [22]~E(x221,x222)+E(f939(x223,x221),f939(x223,x222))
% 198.08/197.85 [23]~E(x231,x232)+E(f234(x231),f234(x232))
% 198.08/197.85 [24]~E(x241,x242)+E(f519(x241,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412),f519(x242,x243,x244,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 198.08/197.85 [25]~E(x251,x252)+E(f519(x253,x251,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512),f519(x253,x252,x254,x255,x256,x257,x258,x259,x2510,x2511,x2512))
% 198.08/197.85 [26]~E(x261,x262)+E(f519(x263,x264,x261,x265,x266,x267,x268,x269,x2610,x2611,x2612),f519(x263,x264,x262,x265,x266,x267,x268,x269,x2610,x2611,x2612))
% 198.08/197.85 [27]~E(x271,x272)+E(f519(x273,x274,x275,x271,x276,x277,x278,x279,x2710,x2711,x2712),f519(x273,x274,x275,x272,x276,x277,x278,x279,x2710,x2711,x2712))
% 198.08/197.85 [28]~E(x281,x282)+E(f519(x283,x284,x285,x286,x281,x287,x288,x289,x2810,x2811,x2812),f519(x283,x284,x285,x286,x282,x287,x288,x289,x2810,x2811,x2812))
% 198.08/197.85 [29]~E(x291,x292)+E(f519(x293,x294,x295,x296,x297,x291,x298,x299,x2910,x2911,x2912),f519(x293,x294,x295,x296,x297,x292,x298,x299,x2910,x2911,x2912))
% 198.08/197.85 [30]~E(x301,x302)+E(f519(x303,x304,x305,x306,x307,x308,x301,x309,x3010,x3011,x3012),f519(x303,x304,x305,x306,x307,x308,x302,x309,x3010,x3011,x3012))
% 198.08/197.85 [31]~E(x311,x312)+E(f519(x313,x314,x315,x316,x317,x318,x319,x311,x3110,x3111,x3112),f519(x313,x314,x315,x316,x317,x318,x319,x312,x3110,x3111,x3112))
% 198.08/197.85 [32]~E(x321,x322)+E(f519(x323,x324,x325,x326,x327,x328,x329,x3210,x321,x3211,x3212),f519(x323,x324,x325,x326,x327,x328,x329,x3210,x322,x3211,x3212))
% 198.08/197.85 [33]~E(x331,x332)+E(f519(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x331,x3312),f519(x333,x334,x335,x336,x337,x338,x339,x3310,x3311,x332,x3312))
% 198.08/197.85 [34]~E(x341,x342)+E(f519(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x341),f519(x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412,x342))
% 198.08/197.85 [35]~E(x351,x352)+E(f77(x351),f77(x352))
% 198.08/197.85 [36]~E(x361,x362)+E(f103(x361),f103(x362))
% 198.08/197.85 [37]~E(x371,x372)+E(f518(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f518(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 198.08/197.85 [38]~E(x381,x382)+E(f518(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f518(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 198.08/197.85 [39]~E(x391,x392)+E(f518(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f518(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 198.08/197.85 [40]~E(x401,x402)+E(f518(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f518(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 198.08/197.85 [41]~E(x411,x412)+E(f518(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f518(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 198.08/197.85 [42]~E(x421,x422)+E(f518(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f518(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 198.08/197.85 [43]~E(x431,x432)+E(f518(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f518(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 198.08/197.85 [44]~E(x441,x442)+E(f518(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f518(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 198.08/197.85 [45]~E(x451,x452)+E(f518(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f518(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 198.08/197.85 [46]~E(x461,x462)+E(f518(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f518(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 198.08/197.85 [47]~E(x471,x472)+E(f518(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f518(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 198.08/197.85 [48]~E(x481,x482)+E(f6(x481),f6(x482))
% 198.08/197.85 [49]~E(x491,x492)+E(f328(x491),f328(x492))
% 198.08/197.85 [50]~E(x501,x502)+E(f61(x501),f61(x502))
% 198.08/197.85 [51]~E(x511,x512)+E(f111(x511),f111(x512))
% 198.08/197.85 [52]~E(x521,x522)+E(f251(x521,x523),f251(x522,x523))
% 198.08/197.85 [53]~E(x531,x532)+E(f251(x533,x531),f251(x533,x532))
% 198.08/197.85 [54]~E(x541,x542)+E(f930(x541),f930(x542))
% 198.08/197.86 [55]~E(x551,x552)+E(f935(x551),f935(x552))
% 198.08/197.86 [56]~E(x561,x562)+E(f932(x561),f932(x562))
% 198.08/197.86 [57]~E(x571,x572)+E(f933(x571),f933(x572))
% 198.08/197.86 [58]~E(x581,x582)+E(f78(x581),f78(x582))
% 198.08/197.86 [59]~E(x591,x592)+E(f17(x591,x593),f17(x592,x593))
% 198.08/197.86 [60]~E(x601,x602)+E(f17(x603,x601),f17(x603,x602))
% 198.08/197.86 [61]~E(x611,x612)+E(f189(x611),f189(x612))
% 198.08/197.86 [62]~E(x621,x622)+E(f235(x621),f235(x622))
% 198.08/197.86 [63]~E(x631,x632)+E(f290(x631),f290(x632))
% 198.08/197.86 [64]~E(x641,x642)+E(f79(x641),f79(x642))
% 198.08/197.86 [65]~E(x651,x652)+E(f75(x651),f75(x652))
% 198.08/197.86 [66]~E(x661,x662)+E(f309(x661,x663,x664),f309(x662,x663,x664))
% 198.08/197.86 [67]~E(x671,x672)+E(f309(x673,x671,x674),f309(x673,x672,x674))
% 198.08/197.86 [68]~E(x681,x682)+E(f309(x683,x684,x681),f309(x683,x684,x682))
% 198.08/197.86 [69]~E(x691,x692)+E(f938(x691,x693),f938(x692,x693))
% 198.08/197.86 [70]~E(x701,x702)+E(f938(x703,x701),f938(x703,x702))
% 198.08/197.86 [71]~E(x711,x712)+E(f10(x711,x713,x714),f10(x712,x713,x714))
% 198.08/197.86 [72]~E(x721,x722)+E(f10(x723,x721,x724),f10(x723,x722,x724))
% 198.08/197.86 [73]~E(x731,x732)+E(f10(x733,x734,x731),f10(x733,x734,x732))
% 198.08/197.86 [74]~E(x741,x742)+E(f20(x741,x743,x744),f20(x742,x743,x744))
% 198.08/197.86 [75]~E(x751,x752)+E(f20(x753,x751,x754),f20(x753,x752,x754))
% 198.08/197.86 [76]~E(x761,x762)+E(f20(x763,x764,x761),f20(x763,x764,x762))
% 198.08/197.86 [77]~E(x771,x772)+E(f36(x771),f36(x772))
% 198.08/197.86 [78]~E(x781,x782)+E(f177(x781,x783,x784),f177(x782,x783,x784))
% 198.08/197.86 [79]~E(x791,x792)+E(f177(x793,x791,x794),f177(x793,x792,x794))
% 198.08/197.86 [80]~E(x801,x802)+E(f177(x803,x804,x801),f177(x803,x804,x802))
% 198.08/197.86 [81]~E(x811,x812)+E(f80(x811),f80(x812))
% 198.08/197.86 [82]~E(x821,x822)+E(f302(x821,x823,x824),f302(x822,x823,x824))
% 198.08/197.86 [83]~E(x831,x832)+E(f302(x833,x831,x834),f302(x833,x832,x834))
% 198.08/197.86 [84]~E(x841,x842)+E(f302(x843,x844,x841),f302(x843,x844,x842))
% 198.08/197.86 [85]~E(x851,x852)+E(f308(x851),f308(x852))
% 198.08/197.86 [86]~E(x861,x862)+E(f368(x861,x863,x864),f368(x862,x863,x864))
% 198.08/197.86 [87]~E(x871,x872)+E(f368(x873,x871,x874),f368(x873,x872,x874))
% 198.08/197.86 [88]~E(x881,x882)+E(f368(x883,x884,x881),f368(x883,x884,x882))
% 198.08/197.86 [89]~E(x891,x892)+E(f60(x891),f60(x892))
% 198.08/197.86 [90]~E(x901,x902)+E(f367(x901,x903,x904),f367(x902,x903,x904))
% 198.08/197.86 [91]~E(x911,x912)+E(f367(x913,x911,x914),f367(x913,x912,x914))
% 198.08/197.86 [92]~E(x921,x922)+E(f367(x923,x924,x921),f367(x923,x924,x922))
% 198.08/197.86 [93]~E(x931,x932)+E(f168(x931),f168(x932))
% 198.08/197.86 [94]~E(x941,x942)+E(f351(x941,x943,x944),f351(x942,x943,x944))
% 198.08/197.86 [95]~E(x951,x952)+E(f351(x953,x951,x954),f351(x953,x952,x954))
% 198.08/197.86 [96]~E(x961,x962)+E(f351(x963,x964,x961),f351(x963,x964,x962))
% 198.08/197.86 [97]~E(x971,x972)+E(f708(x971,x973),f708(x972,x973))
% 198.08/197.86 [98]~E(x981,x982)+E(f708(x983,x981),f708(x983,x982))
% 198.08/197.86 [99]~E(x991,x992)+E(f37(x991,x993),f37(x992,x993))
% 198.08/197.86 [100]~E(x1001,x1002)+E(f37(x1003,x1001),f37(x1003,x1002))
% 198.08/197.86 [101]~E(x1011,x1012)+E(f45(x1011,x1013,x1014),f45(x1012,x1013,x1014))
% 198.08/197.86 [102]~E(x1021,x1022)+E(f45(x1023,x1021,x1024),f45(x1023,x1022,x1024))
% 198.08/197.86 [103]~E(x1031,x1032)+E(f45(x1033,x1034,x1031),f45(x1033,x1034,x1032))
% 198.08/197.86 [104]~E(x1041,x1042)+E(f154(x1041,x1043),f154(x1042,x1043))
% 198.08/197.86 [105]~E(x1051,x1052)+E(f154(x1053,x1051),f154(x1053,x1052))
% 198.08/197.86 [106]~E(x1061,x1062)+E(f306(x1061,x1063),f306(x1062,x1063))
% 198.08/197.86 [107]~E(x1071,x1072)+E(f306(x1073,x1071),f306(x1073,x1072))
% 198.08/197.86 [108]~E(x1081,x1082)+E(f172(x1081),f172(x1082))
% 198.08/197.86 [109]~E(x1091,x1092)+E(f243(x1091),f243(x1092))
% 198.08/197.86 [110]~E(x1101,x1102)+E(f16(x1101,x1103),f16(x1102,x1103))
% 198.08/197.86 [111]~E(x1111,x1112)+E(f16(x1113,x1111),f16(x1113,x1112))
% 198.08/197.86 [112]~E(x1121,x1122)+E(f169(x1121,x1123,x1124),f169(x1122,x1123,x1124))
% 198.08/197.86 [113]~E(x1131,x1132)+E(f169(x1133,x1131,x1134),f169(x1133,x1132,x1134))
% 198.08/197.86 [114]~E(x1141,x1142)+E(f169(x1143,x1144,x1141),f169(x1143,x1144,x1142))
% 198.08/197.86 [115]~E(x1151,x1152)+E(f72(x1151,x1153,x1154,x1155),f72(x1152,x1153,x1154,x1155))
% 198.08/197.86 [116]~E(x1161,x1162)+E(f72(x1163,x1161,x1164,x1165),f72(x1163,x1162,x1164,x1165))
% 198.08/197.86 [117]~E(x1171,x1172)+E(f72(x1173,x1174,x1171,x1175),f72(x1173,x1174,x1172,x1175))
% 198.08/197.86 [118]~E(x1181,x1182)+E(f72(x1183,x1184,x1185,x1181),f72(x1183,x1184,x1185,x1182))
% 198.08/197.86 [119]~E(x1191,x1192)+E(f86(x1191),f86(x1192))
% 198.08/197.86 [120]~E(x1201,x1202)+E(f66(x1201,x1203,x1204,x1205,x1206),f66(x1202,x1203,x1204,x1205,x1206))
% 198.08/197.86 [121]~E(x1211,x1212)+E(f66(x1213,x1211,x1214,x1215,x1216),f66(x1213,x1212,x1214,x1215,x1216))
% 198.08/197.86 [122]~E(x1221,x1222)+E(f66(x1223,x1224,x1221,x1225,x1226),f66(x1223,x1224,x1222,x1225,x1226))
% 198.08/197.86 [123]~E(x1231,x1232)+E(f66(x1233,x1234,x1235,x1231,x1236),f66(x1233,x1234,x1235,x1232,x1236))
% 198.08/197.86 [124]~E(x1241,x1242)+E(f66(x1243,x1244,x1245,x1246,x1241),f66(x1243,x1244,x1245,x1246,x1242))
% 198.08/197.86 [125]~E(x1251,x1252)+E(f113(x1251),f113(x1252))
% 198.08/197.86 [126]~E(x1261,x1262)+E(f142(x1261,x1263,x1264,x1265),f142(x1262,x1263,x1264,x1265))
% 198.08/197.86 [127]~E(x1271,x1272)+E(f142(x1273,x1271,x1274,x1275),f142(x1273,x1272,x1274,x1275))
% 198.08/197.86 [128]~E(x1281,x1282)+E(f142(x1283,x1284,x1281,x1285),f142(x1283,x1284,x1282,x1285))
% 198.08/197.86 [129]~E(x1291,x1292)+E(f142(x1293,x1294,x1295,x1291),f142(x1293,x1294,x1295,x1292))
% 198.08/197.86 [130]~E(x1301,x1302)+E(f40(x1301,x1303),f40(x1302,x1303))
% 198.08/197.86 [131]~E(x1311,x1312)+E(f40(x1313,x1311),f40(x1313,x1312))
% 198.08/197.86 [132]~E(x1321,x1322)+E(f139(x1321,x1323),f139(x1322,x1323))
% 198.08/197.86 [133]~E(x1331,x1332)+E(f139(x1333,x1331),f139(x1333,x1332))
% 198.08/197.86 [134]~E(x1341,x1342)+E(f356(x1341,x1343,x1344),f356(x1342,x1343,x1344))
% 198.08/197.86 [135]~E(x1351,x1352)+E(f356(x1353,x1351,x1354),f356(x1353,x1352,x1354))
% 198.08/197.86 [136]~E(x1361,x1362)+E(f356(x1363,x1364,x1361),f356(x1363,x1364,x1362))
% 198.08/197.86 [137]~E(x1371,x1372)+E(f147(x1371,x1373),f147(x1372,x1373))
% 198.08/197.86 [138]~E(x1381,x1382)+E(f147(x1383,x1381),f147(x1383,x1382))
% 198.08/197.86 [139]~E(x1391,x1392)+E(f181(x1391,x1393),f181(x1392,x1393))
% 198.08/197.86 [140]~E(x1401,x1402)+E(f181(x1403,x1401),f181(x1403,x1402))
% 198.08/197.86 [141]~E(x1411,x1412)+E(f285(x1411,x1413),f285(x1412,x1413))
% 198.08/197.86 [142]~E(x1421,x1422)+E(f285(x1423,x1421),f285(x1423,x1422))
% 198.08/197.86 [143]~E(x1431,x1432)+E(f11(x1431,x1433),f11(x1432,x1433))
% 198.08/197.86 [144]~E(x1441,x1442)+E(f11(x1443,x1441),f11(x1443,x1442))
% 198.08/197.86 [145]~E(x1451,x1452)+E(f648(x1451,x1453,x1454,x1455,x1456),f648(x1452,x1453,x1454,x1455,x1456))
% 198.08/197.86 [146]~E(x1461,x1462)+E(f648(x1463,x1461,x1464,x1465,x1466),f648(x1463,x1462,x1464,x1465,x1466))
% 198.08/197.86 [147]~E(x1471,x1472)+E(f648(x1473,x1474,x1471,x1475,x1476),f648(x1473,x1474,x1472,x1475,x1476))
% 198.08/197.86 [148]~E(x1481,x1482)+E(f648(x1483,x1484,x1485,x1481,x1486),f648(x1483,x1484,x1485,x1482,x1486))
% 198.08/197.86 [149]~E(x1491,x1492)+E(f648(x1493,x1494,x1495,x1496,x1491),f648(x1493,x1494,x1495,x1496,x1492))
% 198.08/197.86 [150]~E(x1501,x1502)+E(f261(x1501),f261(x1502))
% 198.08/197.86 [151]~E(x1511,x1512)+E(f813(x1511,x1513),f813(x1512,x1513))
% 198.08/197.86 [152]~E(x1521,x1522)+E(f813(x1523,x1521),f813(x1523,x1522))
% 198.08/197.86 [153]~E(x1531,x1532)+E(f105(x1531),f105(x1532))
% 198.08/197.86 [154]~E(x1541,x1542)+E(f107(x1541),f107(x1542))
% 198.08/197.86 [155]~E(x1551,x1552)+E(f327(x1551),f327(x1552))
% 198.08/197.86 [156]~E(x1561,x1562)+E(f860(x1561,x1563,x1564,x1565,x1566,x1567),f860(x1562,x1563,x1564,x1565,x1566,x1567))
% 198.08/197.86 [157]~E(x1571,x1572)+E(f860(x1573,x1571,x1574,x1575,x1576,x1577),f860(x1573,x1572,x1574,x1575,x1576,x1577))
% 198.08/197.86 [158]~E(x1581,x1582)+E(f860(x1583,x1584,x1581,x1585,x1586,x1587),f860(x1583,x1584,x1582,x1585,x1586,x1587))
% 198.08/197.86 [159]~E(x1591,x1592)+E(f860(x1593,x1594,x1595,x1591,x1596,x1597),f860(x1593,x1594,x1595,x1592,x1596,x1597))
% 198.08/197.86 [160]~E(x1601,x1602)+E(f860(x1603,x1604,x1605,x1606,x1601,x1607),f860(x1603,x1604,x1605,x1606,x1602,x1607))
% 198.08/197.86 [161]~E(x1611,x1612)+E(f860(x1613,x1614,x1615,x1616,x1617,x1611),f860(x1613,x1614,x1615,x1616,x1617,x1612))
% 198.08/197.86 [162]~E(x1621,x1622)+E(f590(x1621),f590(x1622))
% 198.08/197.86 [163]~E(x1631,x1632)+E(f861(x1631,x1633,x1634,x1635,x1636,x1637),f861(x1632,x1633,x1634,x1635,x1636,x1637))
% 198.08/197.86 [164]~E(x1641,x1642)+E(f861(x1643,x1641,x1644,x1645,x1646,x1647),f861(x1643,x1642,x1644,x1645,x1646,x1647))
% 198.08/197.86 [165]~E(x1651,x1652)+E(f861(x1653,x1654,x1651,x1655,x1656,x1657),f861(x1653,x1654,x1652,x1655,x1656,x1657))
% 198.08/197.86 [166]~E(x1661,x1662)+E(f861(x1663,x1664,x1665,x1661,x1666,x1667),f861(x1663,x1664,x1665,x1662,x1666,x1667))
% 198.08/197.86 [167]~E(x1671,x1672)+E(f861(x1673,x1674,x1675,x1676,x1671,x1677),f861(x1673,x1674,x1675,x1676,x1672,x1677))
% 198.08/197.86 [168]~E(x1681,x1682)+E(f861(x1683,x1684,x1685,x1686,x1687,x1681),f861(x1683,x1684,x1685,x1686,x1687,x1682))
% 198.08/197.86 [169]~E(x1691,x1692)+E(f144(x1691,x1693),f144(x1692,x1693))
% 198.08/197.86 [170]~E(x1701,x1702)+E(f144(x1703,x1701),f144(x1703,x1702))
% 198.08/197.86 [171]~E(x1711,x1712)+E(f240(x1711,x1713),f240(x1712,x1713))
% 198.08/197.86 [172]~E(x1721,x1722)+E(f240(x1723,x1721),f240(x1723,x1722))
% 198.08/197.86 [173]~E(x1731,x1732)+E(f18(x1731,x1733),f18(x1732,x1733))
% 198.08/197.86 [174]~E(x1741,x1742)+E(f18(x1743,x1741),f18(x1743,x1742))
% 198.08/197.86 [175]~E(x1751,x1752)+E(f39(x1751,x1753),f39(x1752,x1753))
% 198.08/197.86 [176]~E(x1761,x1762)+E(f39(x1763,x1761),f39(x1763,x1762))
% 198.08/197.86 [177]~E(x1771,x1772)+E(f937(x1771,x1773),f937(x1772,x1773))
% 198.08/197.86 [178]~E(x1781,x1782)+E(f937(x1783,x1781),f937(x1783,x1782))
% 198.08/197.86 [179]~E(x1791,x1792)+E(f437(x1791,x1793),f437(x1792,x1793))
% 198.08/197.86 [180]~E(x1801,x1802)+E(f437(x1803,x1801),f437(x1803,x1802))
% 198.08/197.86 [181]~E(x1811,x1812)+E(f7(x1811),f7(x1812))
% 198.08/197.86 [182]~E(x1821,x1822)+E(f865(x1821,x1823,x1824,x1825,x1826,x1827),f865(x1822,x1823,x1824,x1825,x1826,x1827))
% 198.08/197.86 [183]~E(x1831,x1832)+E(f865(x1833,x1831,x1834,x1835,x1836,x1837),f865(x1833,x1832,x1834,x1835,x1836,x1837))
% 198.08/197.86 [184]~E(x1841,x1842)+E(f865(x1843,x1844,x1841,x1845,x1846,x1847),f865(x1843,x1844,x1842,x1845,x1846,x1847))
% 198.08/197.86 [185]~E(x1851,x1852)+E(f865(x1853,x1854,x1855,x1851,x1856,x1857),f865(x1853,x1854,x1855,x1852,x1856,x1857))
% 198.08/197.86 [186]~E(x1861,x1862)+E(f865(x1863,x1864,x1865,x1866,x1861,x1867),f865(x1863,x1864,x1865,x1866,x1862,x1867))
% 198.08/197.86 [187]~E(x1871,x1872)+E(f865(x1873,x1874,x1875,x1876,x1877,x1871),f865(x1873,x1874,x1875,x1876,x1877,x1872))
% 198.08/197.86 [188]~E(x1881,x1882)+E(f12(x1881,x1883),f12(x1882,x1883))
% 198.08/197.86 [189]~E(x1891,x1892)+E(f12(x1893,x1891),f12(x1893,x1892))
% 198.08/197.86 [190]~E(x1901,x1902)+E(f866(x1901,x1903,x1904,x1905,x1906,x1907),f866(x1902,x1903,x1904,x1905,x1906,x1907))
% 198.08/197.86 [191]~E(x1911,x1912)+E(f866(x1913,x1911,x1914,x1915,x1916,x1917),f866(x1913,x1912,x1914,x1915,x1916,x1917))
% 198.08/197.86 [192]~E(x1921,x1922)+E(f866(x1923,x1924,x1921,x1925,x1926,x1927),f866(x1923,x1924,x1922,x1925,x1926,x1927))
% 198.08/197.86 [193]~E(x1931,x1932)+E(f866(x1933,x1934,x1935,x1931,x1936,x1937),f866(x1933,x1934,x1935,x1932,x1936,x1937))
% 198.08/197.86 [194]~E(x1941,x1942)+E(f866(x1943,x1944,x1945,x1946,x1941,x1947),f866(x1943,x1944,x1945,x1946,x1942,x1947))
% 198.08/197.86 [195]~E(x1951,x1952)+E(f866(x1953,x1954,x1955,x1956,x1957,x1951),f866(x1953,x1954,x1955,x1956,x1957,x1952))
% 198.08/197.86 [196]~E(x1961,x1962)+E(f856(x1961,x1963,x1964,x1965,x1966,x1967,x1968),f856(x1962,x1963,x1964,x1965,x1966,x1967,x1968))
% 198.08/197.86 [197]~E(x1971,x1972)+E(f856(x1973,x1971,x1974,x1975,x1976,x1977,x1978),f856(x1973,x1972,x1974,x1975,x1976,x1977,x1978))
% 198.08/197.86 [198]~E(x1981,x1982)+E(f856(x1983,x1984,x1981,x1985,x1986,x1987,x1988),f856(x1983,x1984,x1982,x1985,x1986,x1987,x1988))
% 198.08/197.86 [199]~E(x1991,x1992)+E(f856(x1993,x1994,x1995,x1991,x1996,x1997,x1998),f856(x1993,x1994,x1995,x1992,x1996,x1997,x1998))
% 198.08/197.86 [200]~E(x2001,x2002)+E(f856(x2003,x2004,x2005,x2006,x2001,x2007,x2008),f856(x2003,x2004,x2005,x2006,x2002,x2007,x2008))
% 198.08/197.86 [201]~E(x2011,x2012)+E(f856(x2013,x2014,x2015,x2016,x2017,x2011,x2018),f856(x2013,x2014,x2015,x2016,x2017,x2012,x2018))
% 198.08/197.86 [202]~E(x2021,x2022)+E(f856(x2023,x2024,x2025,x2026,x2027,x2028,x2021),f856(x2023,x2024,x2025,x2026,x2027,x2028,x2022))
% 198.08/197.86 [203]~E(x2031,x2032)+E(f241(x2031),f241(x2032))
% 198.08/197.86 [204]~E(x2041,x2042)+E(f134(x2041),f134(x2042))
% 198.08/197.86 [205]~E(x2051,x2052)+E(f357(x2051,x2053,x2054),f357(x2052,x2053,x2054))
% 198.08/197.86 [206]~E(x2061,x2062)+E(f357(x2063,x2061,x2064),f357(x2063,x2062,x2064))
% 198.08/197.86 [207]~E(x2071,x2072)+E(f357(x2073,x2074,x2071),f357(x2073,x2074,x2072))
% 198.08/197.86 [208]~E(x2081,x2082)+E(f675(x2081,x2083,x2084),f675(x2082,x2083,x2084))
% 198.08/197.86 [209]~E(x2091,x2092)+E(f675(x2093,x2091,x2094),f675(x2093,x2092,x2094))
% 198.08/197.86 [210]~E(x2101,x2102)+E(f675(x2103,x2104,x2101),f675(x2103,x2104,x2102))
% 198.08/197.86 [211]~E(x2111,x2112)+E(f250(x2111,x2113),f250(x2112,x2113))
% 198.08/197.86 [212]~E(x2121,x2122)+E(f250(x2123,x2121),f250(x2123,x2122))
% 198.08/197.86 [213]~E(x2131,x2132)+E(f284(x2131,x2133,x2134),f284(x2132,x2133,x2134))
% 198.08/197.86 [214]~E(x2141,x2142)+E(f284(x2143,x2141,x2144),f284(x2143,x2142,x2144))
% 198.08/197.86 [215]~E(x2151,x2152)+E(f284(x2153,x2154,x2151),f284(x2153,x2154,x2152))
% 198.08/197.86 [216]~E(x2161,x2162)+E(f300(x2161),f300(x2162))
% 198.08/197.86 [217]~E(x2171,x2172)+E(f360(x2171),f360(x2172))
% 198.08/197.86 [218]~E(x2181,x2182)+E(f288(x2181,x2183,x2184),f288(x2182,x2183,x2184))
% 198.08/197.86 [219]~E(x2191,x2192)+E(f288(x2193,x2191,x2194),f288(x2193,x2192,x2194))
% 198.08/197.86 [220]~E(x2201,x2202)+E(f288(x2203,x2204,x2201),f288(x2203,x2204,x2202))
% 198.08/197.86 [221]~E(x2211,x2212)+E(f225(x2211,x2213,x2214,x2215,x2216),f225(x2212,x2213,x2214,x2215,x2216))
% 198.08/197.86 [222]~E(x2221,x2222)+E(f225(x2223,x2221,x2224,x2225,x2226),f225(x2223,x2222,x2224,x2225,x2226))
% 198.08/197.86 [223]~E(x2231,x2232)+E(f225(x2233,x2234,x2231,x2235,x2236),f225(x2233,x2234,x2232,x2235,x2236))
% 198.08/197.86 [224]~E(x2241,x2242)+E(f225(x2243,x2244,x2245,x2241,x2246),f225(x2243,x2244,x2245,x2242,x2246))
% 198.08/197.86 [225]~E(x2251,x2252)+E(f225(x2253,x2254,x2255,x2256,x2251),f225(x2253,x2254,x2255,x2256,x2252))
% 198.08/197.86 [226]~E(x2261,x2262)+E(f253(x2261,x2263),f253(x2262,x2263))
% 198.08/197.86 [227]~E(x2271,x2272)+E(f253(x2273,x2271),f253(x2273,x2272))
% 198.08/197.86 [228]~E(x2281,x2282)+E(f301(x2281,x2283),f301(x2282,x2283))
% 198.08/197.86 [229]~E(x2291,x2292)+E(f301(x2293,x2291),f301(x2293,x2292))
% 198.08/197.86 [230]~E(x2301,x2302)+E(f661(x2301,x2303,x2304,x2305,x2306,x2307),f661(x2302,x2303,x2304,x2305,x2306,x2307))
% 198.08/197.86 [231]~E(x2311,x2312)+E(f661(x2313,x2311,x2314,x2315,x2316,x2317),f661(x2313,x2312,x2314,x2315,x2316,x2317))
% 198.08/197.86 [232]~E(x2321,x2322)+E(f661(x2323,x2324,x2321,x2325,x2326,x2327),f661(x2323,x2324,x2322,x2325,x2326,x2327))
% 198.08/197.86 [233]~E(x2331,x2332)+E(f661(x2333,x2334,x2335,x2331,x2336,x2337),f661(x2333,x2334,x2335,x2332,x2336,x2337))
% 198.08/197.86 [234]~E(x2341,x2342)+E(f661(x2343,x2344,x2345,x2346,x2341,x2347),f661(x2343,x2344,x2345,x2346,x2342,x2347))
% 198.08/197.86 [235]~E(x2351,x2352)+E(f661(x2353,x2354,x2355,x2356,x2357,x2351),f661(x2353,x2354,x2355,x2356,x2357,x2352))
% 198.08/197.86 [236]~E(x2361,x2362)+E(f662(x2361,x2363,x2364,x2365,x2366,x2367),f662(x2362,x2363,x2364,x2365,x2366,x2367))
% 198.08/197.86 [237]~E(x2371,x2372)+E(f662(x2373,x2371,x2374,x2375,x2376,x2377),f662(x2373,x2372,x2374,x2375,x2376,x2377))
% 198.08/197.86 [238]~E(x2381,x2382)+E(f662(x2383,x2384,x2381,x2385,x2386,x2387),f662(x2383,x2384,x2382,x2385,x2386,x2387))
% 198.08/197.86 [239]~E(x2391,x2392)+E(f662(x2393,x2394,x2395,x2391,x2396,x2397),f662(x2393,x2394,x2395,x2392,x2396,x2397))
% 198.08/197.86 [240]~E(x2401,x2402)+E(f662(x2403,x2404,x2405,x2406,x2401,x2407),f662(x2403,x2404,x2405,x2406,x2402,x2407))
% 198.08/197.86 [241]~E(x2411,x2412)+E(f662(x2413,x2414,x2415,x2416,x2417,x2411),f662(x2413,x2414,x2415,x2416,x2417,x2412))
% 198.08/197.86 [242]~E(x2421,x2422)+E(f160(x2421,x2423),f160(x2422,x2423))
% 198.08/197.86 [243]~E(x2431,x2432)+E(f160(x2433,x2431),f160(x2433,x2432))
% 198.08/197.86 [244]~E(x2441,x2442)+E(f84(x2441,x2443),f84(x2442,x2443))
% 198.08/197.86 [245]~E(x2451,x2452)+E(f84(x2453,x2451),f84(x2453,x2452))
% 198.08/197.86 [246]~E(x2461,x2462)+E(f136(x2461,x2463),f136(x2462,x2463))
% 198.08/197.86 [247]~E(x2471,x2472)+E(f136(x2473,x2471),f136(x2473,x2472))
% 198.08/197.86 [248]~E(x2481,x2482)+E(f299(x2481,x2483,x2484,x2485,x2486),f299(x2482,x2483,x2484,x2485,x2486))
% 198.08/197.86 [249]~E(x2491,x2492)+E(f299(x2493,x2491,x2494,x2495,x2496),f299(x2493,x2492,x2494,x2495,x2496))
% 198.08/197.86 [250]~E(x2501,x2502)+E(f299(x2503,x2504,x2501,x2505,x2506),f299(x2503,x2504,x2502,x2505,x2506))
% 198.08/197.86 [251]~E(x2511,x2512)+E(f299(x2513,x2514,x2515,x2511,x2516),f299(x2513,x2514,x2515,x2512,x2516))
% 198.08/197.86 [252]~E(x2521,x2522)+E(f299(x2523,x2524,x2525,x2526,x2521),f299(x2523,x2524,x2525,x2526,x2522))
% 198.08/197.86 [253]~E(x2531,x2532)+E(f8(x2531,x2533),f8(x2532,x2533))
% 198.08/197.86 [254]~E(x2541,x2542)+E(f8(x2543,x2541),f8(x2543,x2542))
% 198.08/197.86 [255]~E(x2551,x2552)+E(f649(x2551,x2553,x2554,x2555,x2556),f649(x2552,x2553,x2554,x2555,x2556))
% 198.08/197.86 [256]~E(x2561,x2562)+E(f649(x2563,x2561,x2564,x2565,x2566),f649(x2563,x2562,x2564,x2565,x2566))
% 198.08/197.86 [257]~E(x2571,x2572)+E(f649(x2573,x2574,x2571,x2575,x2576),f649(x2573,x2574,x2572,x2575,x2576))
% 198.08/197.86 [258]~E(x2581,x2582)+E(f649(x2583,x2584,x2585,x2581,x2586),f649(x2583,x2584,x2585,x2582,x2586))
% 198.08/197.86 [259]~E(x2591,x2592)+E(f649(x2593,x2594,x2595,x2596,x2591),f649(x2593,x2594,x2595,x2596,x2592))
% 198.08/197.86 [260]~E(x2601,x2602)+E(f876(x2601,x2603,x2604),f876(x2602,x2603,x2604))
% 198.08/197.86 [261]~E(x2611,x2612)+E(f876(x2613,x2611,x2614),f876(x2613,x2612,x2614))
% 198.08/197.86 [262]~E(x2621,x2622)+E(f876(x2623,x2624,x2621),f876(x2623,x2624,x2622))
% 198.08/197.86 [263]~E(x2631,x2632)+E(f35(x2631),f35(x2632))
% 198.08/197.86 [264]~E(x2641,x2642)+E(f109(x2641),f109(x2642))
% 198.08/197.86 [265]~E(x2651,x2652)+E(f249(x2651,x2653,x2654),f249(x2652,x2653,x2654))
% 198.08/197.86 [266]~E(x2661,x2662)+E(f249(x2663,x2661,x2664),f249(x2663,x2662,x2664))
% 198.08/197.86 [267]~E(x2671,x2672)+E(f249(x2673,x2674,x2671),f249(x2673,x2674,x2672))
% 198.08/197.86 [268]~E(x2681,x2682)+E(f85(x2681,x2683),f85(x2682,x2683))
% 198.08/197.86 [269]~E(x2691,x2692)+E(f85(x2693,x2691),f85(x2693,x2692))
% 198.08/197.86 [270]~E(x2701,x2702)+E(f286(x2701),f286(x2702))
% 198.08/197.86 [271]~E(x2711,x2712)+E(f877(x2711,x2713,x2714),f877(x2712,x2713,x2714))
% 198.08/197.86 [272]~E(x2721,x2722)+E(f877(x2723,x2721,x2724),f877(x2723,x2722,x2724))
% 198.08/197.86 [273]~E(x2731,x2732)+E(f877(x2733,x2734,x2731),f877(x2733,x2734,x2732))
% 198.08/197.86 [274]~E(x2741,x2742)+E(f13(x2741,x2743),f13(x2742,x2743))
% 198.08/197.86 [275]~E(x2751,x2752)+E(f13(x2753,x2751),f13(x2753,x2752))
% 198.08/197.86 [276]~E(x2761,x2762)+E(f159(x2761,x2763),f159(x2762,x2763))
% 198.08/197.86 [277]~E(x2771,x2772)+E(f159(x2773,x2771),f159(x2773,x2772))
% 198.08/197.86 [278]~E(x2781,x2782)+E(f787(x2781,x2783,x2784,x2785,x2786),f787(x2782,x2783,x2784,x2785,x2786))
% 198.08/197.86 [279]~E(x2791,x2792)+E(f787(x2793,x2791,x2794,x2795,x2796),f787(x2793,x2792,x2794,x2795,x2796))
% 198.08/197.86 [280]~E(x2801,x2802)+E(f787(x2803,x2804,x2801,x2805,x2806),f787(x2803,x2804,x2802,x2805,x2806))
% 198.08/197.86 [281]~E(x2811,x2812)+E(f787(x2813,x2814,x2815,x2811,x2816),f787(x2813,x2814,x2815,x2812,x2816))
% 198.08/197.86 [282]~E(x2821,x2822)+E(f787(x2823,x2824,x2825,x2826,x2821),f787(x2823,x2824,x2825,x2826,x2822))
% 198.08/197.86 [283]~E(x2831,x2832)+E(f914(x2831,x2833),f914(x2832,x2833))
% 198.08/197.86 [284]~E(x2841,x2842)+E(f914(x2843,x2841),f914(x2843,x2842))
% 198.08/197.86 [285]~E(x2851,x2852)+E(f15(x2851,x2853,x2854),f15(x2852,x2853,x2854))
% 198.08/197.86 [286]~E(x2861,x2862)+E(f15(x2863,x2861,x2864),f15(x2863,x2862,x2864))
% 198.08/197.86 [287]~E(x2871,x2872)+E(f15(x2873,x2874,x2871),f15(x2873,x2874,x2872))
% 198.08/197.86 [288]~E(x2881,x2882)+E(f114(x2881,x2883),f114(x2882,x2883))
% 198.08/197.86 [289]~E(x2891,x2892)+E(f114(x2893,x2891),f114(x2893,x2892))
% 198.08/197.86 [290]~E(x2901,x2902)+E(f283(x2901,x2903),f283(x2902,x2903))
% 198.08/197.86 [291]~E(x2911,x2912)+E(f283(x2913,x2911),f283(x2913,x2912))
% 198.08/197.86 [292]~E(x2921,x2922)+E(f220(x2921,x2923,x2924,x2925),f220(x2922,x2923,x2924,x2925))
% 198.08/197.86 [293]~E(x2931,x2932)+E(f220(x2933,x2931,x2934,x2935),f220(x2933,x2932,x2934,x2935))
% 198.08/197.86 [294]~E(x2941,x2942)+E(f220(x2943,x2944,x2941,x2945),f220(x2943,x2944,x2942,x2945))
% 198.08/197.86 [295]~E(x2951,x2952)+E(f220(x2953,x2954,x2955,x2951),f220(x2953,x2954,x2955,x2952))
% 198.08/197.86 [296]~E(x2961,x2962)+E(f152(x2961,x2963),f152(x2962,x2963))
% 198.08/197.86 [297]~E(x2971,x2972)+E(f152(x2973,x2971),f152(x2973,x2972))
% 198.08/197.86 [298]~E(x2981,x2982)+E(f256(x2981,x2983,x2984),f256(x2982,x2983,x2984))
% 198.08/197.86 [299]~E(x2991,x2992)+E(f256(x2993,x2991,x2994),f256(x2993,x2992,x2994))
% 198.08/197.86 [300]~E(x3001,x3002)+E(f256(x3003,x3004,x3001),f256(x3003,x3004,x3002))
% 198.08/197.86 [301]~E(x3011,x3012)+E(f191(x3011),f191(x3012))
% 198.08/197.86 [302]~E(x3021,x3022)+E(f629(x3021,x3023,x3024),f629(x3022,x3023,x3024))
% 198.08/197.86 [303]~E(x3031,x3032)+E(f629(x3033,x3031,x3034),f629(x3033,x3032,x3034))
% 198.08/197.86 [304]~E(x3041,x3042)+E(f629(x3043,x3044,x3041),f629(x3043,x3044,x3042))
% 198.08/197.86 [305]~E(x3051,x3052)+E(f115(x3051),f115(x3052))
% 198.08/197.86 [306]~E(x3061,x3062)+E(f47(x3061,x3063),f47(x3062,x3063))
% 198.08/197.86 [307]~E(x3071,x3072)+E(f47(x3073,x3071),f47(x3073,x3072))
% 198.08/197.86 [308]~E(x3081,x3082)+E(f138(x3081),f138(x3082))
% 198.08/197.86 [309]~E(x3091,x3092)+E(f936(x3091,x3093),f936(x3092,x3093))
% 198.08/197.86 [310]~E(x3101,x3102)+E(f936(x3103,x3101),f936(x3103,x3102))
% 198.08/197.86 [311]~E(x3111,x3112)+E(f167(x3111),f167(x3112))
% 198.08/197.86 [312]~E(x3121,x3122)+E(f183(x3121,x3123),f183(x3122,x3123))
% 198.08/197.86 [313]~E(x3131,x3132)+E(f183(x3133,x3131),f183(x3133,x3132))
% 198.08/197.86 [314]~E(x3141,x3142)+E(f237(x3141,x3143),f237(x3142,x3143))
% 198.08/197.86 [315]~E(x3151,x3152)+E(f237(x3153,x3151),f237(x3153,x3152))
% 198.08/197.86 [316]~E(x3161,x3162)+E(f851(x3161,x3163),f851(x3162,x3163))
% 198.08/197.86 [317]~E(x3171,x3172)+E(f851(x3173,x3171),f851(x3173,x3172))
% 198.08/197.86 [318]~E(x3181,x3182)+E(f171(x3181),f171(x3182))
% 198.08/197.86 [319]~E(x3191,x3192)+E(f790(x3191,x3193,x3194,x3195),f790(x3192,x3193,x3194,x3195))
% 198.08/197.86 [320]~E(x3201,x3202)+E(f790(x3203,x3201,x3204,x3205),f790(x3203,x3202,x3204,x3205))
% 198.08/197.86 [321]~E(x3211,x3212)+E(f790(x3213,x3214,x3211,x3215),f790(x3213,x3214,x3212,x3215))
% 198.08/197.86 [322]~E(x3221,x3222)+E(f790(x3223,x3224,x3225,x3221),f790(x3223,x3224,x3225,x3222))
% 198.08/197.86 [323]~E(x3231,x3232)+E(f660(x3231,x3233,x3234,x3235,x3236,x3237),f660(x3232,x3233,x3234,x3235,x3236,x3237))
% 198.08/197.86 [324]~E(x3241,x3242)+E(f660(x3243,x3241,x3244,x3245,x3246,x3247),f660(x3243,x3242,x3244,x3245,x3246,x3247))
% 198.08/197.86 [325]~E(x3251,x3252)+E(f660(x3253,x3254,x3251,x3255,x3256,x3257),f660(x3253,x3254,x3252,x3255,x3256,x3257))
% 198.08/197.86 [326]~E(x3261,x3262)+E(f660(x3263,x3264,x3265,x3261,x3266,x3267),f660(x3263,x3264,x3265,x3262,x3266,x3267))
% 198.08/197.86 [327]~E(x3271,x3272)+E(f660(x3273,x3274,x3275,x3276,x3271,x3277),f660(x3273,x3274,x3275,x3276,x3272,x3277))
% 198.08/197.86 [328]~E(x3281,x3282)+E(f660(x3283,x3284,x3285,x3286,x3287,x3281),f660(x3283,x3284,x3285,x3286,x3287,x3282))
% 198.08/197.86 [329]~E(x3291,x3292)+E(f151(x3291),f151(x3292))
% 198.08/197.86 [330]~E(x3301,x3302)+E(f150(x3301,x3303,x3304,x3305),f150(x3302,x3303,x3304,x3305))
% 198.08/197.86 [331]~E(x3311,x3312)+E(f150(x3313,x3311,x3314,x3315),f150(x3313,x3312,x3314,x3315))
% 198.08/197.86 [332]~E(x3321,x3322)+E(f150(x3323,x3324,x3321,x3325),f150(x3323,x3324,x3322,x3325))
% 198.08/197.86 [333]~E(x3331,x3332)+E(f150(x3333,x3334,x3335,x3331),f150(x3333,x3334,x3335,x3332))
% 198.08/197.86 [334]~E(x3341,x3342)+E(f307(x3341),f307(x3342))
% 198.08/197.86 [335]~E(x3351,x3352)+E(f14(x3351,x3353,x3354),f14(x3352,x3353,x3354))
% 198.08/197.86 [336]~E(x3361,x3362)+E(f14(x3363,x3361,x3364),f14(x3363,x3362,x3364))
% 198.08/197.86 [337]~E(x3371,x3372)+E(f14(x3373,x3374,x3371),f14(x3373,x3374,x3372))
% 198.08/197.86 [338]~E(x3381,x3382)+E(f64(x3381,x3383,x3384),f64(x3382,x3383,x3384))
% 198.08/197.86 [339]~E(x3391,x3392)+E(f64(x3393,x3391,x3394),f64(x3393,x3392,x3394))
% 198.08/197.86 [340]~E(x3401,x3402)+E(f64(x3403,x3404,x3401),f64(x3403,x3404,x3402))
% 198.08/197.86 [341]~E(x3411,x3412)+E(f175(x3411),f175(x3412))
% 198.08/197.86 [342]~E(x3421,x3422)+E(f287(x3421,x3423),f287(x3422,x3423))
% 198.08/197.86 [343]~E(x3431,x3432)+E(f287(x3433,x3431),f287(x3433,x3432))
% 198.08/197.86 [344]~E(x3441,x3442)+E(f48(x3441,x3443),f48(x3442,x3443))
% 198.08/197.86 [345]~E(x3451,x3452)+E(f48(x3453,x3451),f48(x3453,x3452))
% 198.08/197.86 [346]~E(x3461,x3462)+E(f314(x3461,x3463),f314(x3462,x3463))
% 198.08/197.86 [347]~E(x3471,x3472)+E(f314(x3473,x3471),f314(x3473,x3472))
% 198.08/197.86 [348]~E(x3481,x3482)+E(f419(x3481,x3483),f419(x3482,x3483))
% 198.08/197.86 [349]~E(x3491,x3492)+E(f419(x3493,x3491),f419(x3493,x3492))
% 198.08/197.86 [350]~E(x3501,x3502)+E(f317(x3501,x3503),f317(x3502,x3503))
% 198.08/197.86 [351]~E(x3511,x3512)+E(f317(x3513,x3511),f317(x3513,x3512))
% 198.08/197.86 [352]~E(x3521,x3522)+E(f630(x3521,x3523,x3524),f630(x3522,x3523,x3524))
% 198.08/197.86 [353]~E(x3531,x3532)+E(f630(x3533,x3531,x3534),f630(x3533,x3532,x3534))
% 198.08/197.86 [354]~E(x3541,x3542)+E(f630(x3543,x3544,x3541),f630(x3543,x3544,x3542))
% 198.08/197.86 [355]~E(x3551,x3552)+E(f318(x3551,x3553),f318(x3552,x3553))
% 198.08/197.86 [356]~E(x3561,x3562)+E(f318(x3563,x3561),f318(x3563,x3562))
% 198.08/197.86 [357]~E(x3571,x3572)+E(f176(x3571,x3573,x3574),f176(x3572,x3573,x3574))
% 198.08/197.86 [358]~E(x3581,x3582)+E(f176(x3583,x3581,x3584),f176(x3583,x3582,x3584))
% 198.08/197.86 [359]~E(x3591,x3592)+E(f176(x3593,x3594,x3591),f176(x3593,x3594,x3592))
% 198.08/197.86 [360]~E(x3601,x3602)+E(f726(x3601,x3603,x3604),f726(x3602,x3603,x3604))
% 198.08/197.86 [361]~E(x3611,x3612)+E(f726(x3613,x3611,x3614),f726(x3613,x3612,x3614))
% 198.08/197.86 [362]~E(x3621,x3622)+E(f726(x3623,x3624,x3621),f726(x3623,x3624,x3622))
% 198.08/197.86 [363]~E(x3631,x3632)+E(f179(x3631,x3633),f179(x3632,x3633))
% 198.08/197.86 [364]~E(x3641,x3642)+E(f179(x3643,x3641),f179(x3643,x3642))
% 198.08/197.86 [365]~E(x3651,x3652)+E(f158(x3651,x3653),f158(x3652,x3653))
% 198.08/197.86 [366]~E(x3661,x3662)+E(f158(x3663,x3661),f158(x3663,x3662))
% 198.08/197.86 [367]~E(x3671,x3672)+E(f312(x3671,x3673,x3674,x3675),f312(x3672,x3673,x3674,x3675))
% 198.08/197.86 [368]~E(x3681,x3682)+E(f312(x3683,x3681,x3684,x3685),f312(x3683,x3682,x3684,x3685))
% 198.08/197.86 [369]~E(x3691,x3692)+E(f312(x3693,x3694,x3691,x3695),f312(x3693,x3694,x3692,x3695))
% 198.08/197.86 [370]~E(x3701,x3702)+E(f312(x3703,x3704,x3705,x3701),f312(x3703,x3704,x3705,x3702))
% 198.08/197.86 [371]~E(x3711,x3712)+E(f289(x3711,x3713,x3714,x3715),f289(x3712,x3713,x3714,x3715))
% 198.08/197.86 [372]~E(x3721,x3722)+E(f289(x3723,x3721,x3724,x3725),f289(x3723,x3722,x3724,x3725))
% 198.08/197.86 [373]~E(x3731,x3732)+E(f289(x3733,x3734,x3731,x3735),f289(x3733,x3734,x3732,x3735))
% 198.08/197.86 [374]~E(x3741,x3742)+E(f289(x3743,x3744,x3745,x3741),f289(x3743,x3744,x3745,x3742))
% 198.08/197.86 [375]~E(x3751,x3752)+E(f463(x3751,x3753,x3754,x3755),f463(x3752,x3753,x3754,x3755))
% 198.08/197.86 [376]~E(x3761,x3762)+E(f463(x3763,x3761,x3764,x3765),f463(x3763,x3762,x3764,x3765))
% 198.08/197.86 [377]~E(x3771,x3772)+E(f463(x3773,x3774,x3771,x3775),f463(x3773,x3774,x3772,x3775))
% 198.08/197.86 [378]~E(x3781,x3782)+E(f463(x3783,x3784,x3785,x3781),f463(x3783,x3784,x3785,x3782))
% 198.08/197.86 [379]~E(x3791,x3792)+E(f786(x3791,x3793,x3794),f786(x3792,x3793,x3794))
% 198.08/197.86 [380]~E(x3801,x3802)+E(f786(x3803,x3801,x3804),f786(x3803,x3802,x3804))
% 198.08/197.86 [381]~E(x3811,x3812)+E(f786(x3813,x3814,x3811),f786(x3813,x3814,x3812))
% 198.08/197.86 [382]~E(x3821,x3822)+E(f161(x3821,x3823),f161(x3822,x3823))
% 198.08/197.86 [383]~E(x3831,x3832)+E(f161(x3833,x3831),f161(x3833,x3832))
% 198.08/197.86 [384]~E(x3841,x3842)+E(f406(x3841,x3843,x3844),f406(x3842,x3843,x3844))
% 198.08/197.86 [385]~E(x3851,x3852)+E(f406(x3853,x3851,x3854),f406(x3853,x3852,x3854))
% 198.08/197.86 [386]~E(x3861,x3862)+E(f406(x3863,x3864,x3861),f406(x3863,x3864,x3862))
% 198.08/197.86 [387]~E(x3871,x3872)+E(f319(x3871,x3873,x3874,x3875),f319(x3872,x3873,x3874,x3875))
% 198.08/197.86 [388]~E(x3881,x3882)+E(f319(x3883,x3881,x3884,x3885),f319(x3883,x3882,x3884,x3885))
% 198.08/197.86 [389]~E(x3891,x3892)+E(f319(x3893,x3894,x3891,x3895),f319(x3893,x3894,x3892,x3895))
% 198.08/197.86 [390]~E(x3901,x3902)+E(f319(x3903,x3904,x3905,x3901),f319(x3903,x3904,x3905,x3902))
% 198.08/197.86 [391]~E(x3911,x3912)+E(f792(x3911,x3913,x3914,x3915),f792(x3912,x3913,x3914,x3915))
% 198.08/197.86 [392]~E(x3921,x3922)+E(f792(x3923,x3921,x3924,x3925),f792(x3923,x3922,x3924,x3925))
% 198.08/197.86 [393]~E(x3931,x3932)+E(f792(x3933,x3934,x3931,x3935),f792(x3933,x3934,x3932,x3935))
% 198.08/197.86 [394]~E(x3941,x3942)+E(f792(x3943,x3944,x3945,x3941),f792(x3943,x3944,x3945,x3942))
% 198.08/197.86 [395]~E(x3951,x3952)+E(f477(x3951,x3953,x3954,x3955),f477(x3952,x3953,x3954,x3955))
% 198.08/197.86 [396]~E(x3961,x3962)+E(f477(x3963,x3961,x3964,x3965),f477(x3963,x3962,x3964,x3965))
% 198.08/197.86 [397]~E(x3971,x3972)+E(f477(x3973,x3974,x3971,x3975),f477(x3973,x3974,x3972,x3975))
% 198.08/197.86 [398]~E(x3981,x3982)+E(f477(x3983,x3984,x3985,x3981),f477(x3983,x3984,x3985,x3982))
% 198.08/197.86 [399]~E(x3991,x3992)+E(f57(x3991),f57(x3992))
% 198.08/197.86 [400]~E(x4001,x4002)+E(f119(x4001),f119(x4002))
% 198.08/197.86 [401]~E(x4011,x4012)+E(f120(x4011,x4013),f120(x4012,x4013))
% 198.08/197.86 [402]~E(x4021,x4022)+E(f120(x4023,x4021),f120(x4023,x4022))
% 198.08/197.86 [403]~E(x4031,x4032)+E(f849(x4031,x4033,x4034,x4035,x4036,x4037,x4038,x4039),f849(x4032,x4033,x4034,x4035,x4036,x4037,x4038,x4039))
% 198.08/197.86 [404]~E(x4041,x4042)+E(f849(x4043,x4041,x4044,x4045,x4046,x4047,x4048,x4049),f849(x4043,x4042,x4044,x4045,x4046,x4047,x4048,x4049))
% 198.08/197.86 [405]~E(x4051,x4052)+E(f849(x4053,x4054,x4051,x4055,x4056,x4057,x4058,x4059),f849(x4053,x4054,x4052,x4055,x4056,x4057,x4058,x4059))
% 198.08/197.86 [406]~E(x4061,x4062)+E(f849(x4063,x4064,x4065,x4061,x4066,x4067,x4068,x4069),f849(x4063,x4064,x4065,x4062,x4066,x4067,x4068,x4069))
% 198.08/197.86 [407]~E(x4071,x4072)+E(f849(x4073,x4074,x4075,x4076,x4071,x4077,x4078,x4079),f849(x4073,x4074,x4075,x4076,x4072,x4077,x4078,x4079))
% 198.08/197.86 [408]~E(x4081,x4082)+E(f849(x4083,x4084,x4085,x4086,x4087,x4081,x4088,x4089),f849(x4083,x4084,x4085,x4086,x4087,x4082,x4088,x4089))
% 198.08/197.86 [409]~E(x4091,x4092)+E(f849(x4093,x4094,x4095,x4096,x4097,x4098,x4091,x4099),f849(x4093,x4094,x4095,x4096,x4097,x4098,x4092,x4099))
% 198.08/197.86 [410]~E(x4101,x4102)+E(f849(x4103,x4104,x4105,x4106,x4107,x4108,x4109,x4101),f849(x4103,x4104,x4105,x4106,x4107,x4108,x4109,x4102))
% 198.08/197.86 [411]~E(x4111,x4112)+E(f212(x4111),f212(x4112))
% 198.08/197.86 [412]~E(x4121,x4122)+E(f185(x4121,x4123,x4124,x4125),f185(x4122,x4123,x4124,x4125))
% 198.08/197.86 [413]~E(x4131,x4132)+E(f185(x4133,x4131,x4134,x4135),f185(x4133,x4132,x4134,x4135))
% 198.08/197.86 [414]~E(x4141,x4142)+E(f185(x4143,x4144,x4141,x4145),f185(x4143,x4144,x4142,x4145))
% 198.08/197.86 [415]~E(x4151,x4152)+E(f185(x4153,x4154,x4155,x4151),f185(x4153,x4154,x4155,x4152))
% 198.08/197.86 [416]~E(x4161,x4162)+E(f458(x4161,x4163,x4164,x4165),f458(x4162,x4163,x4164,x4165))
% 198.08/197.86 [417]~E(x4171,x4172)+E(f458(x4173,x4171,x4174,x4175),f458(x4173,x4172,x4174,x4175))
% 198.08/197.86 [418]~E(x4181,x4182)+E(f458(x4183,x4184,x4181,x4185),f458(x4183,x4184,x4182,x4185))
% 198.08/197.86 [419]~E(x4191,x4192)+E(f458(x4193,x4194,x4195,x4191),f458(x4193,x4194,x4195,x4192))
% 198.08/197.86 [420]~E(x4201,x4202)+E(f254(x4201,x4203,x4204,x4205),f254(x4202,x4203,x4204,x4205))
% 198.08/197.86 [421]~E(x4211,x4212)+E(f254(x4213,x4211,x4214,x4215),f254(x4213,x4212,x4214,x4215))
% 198.08/197.86 [422]~E(x4221,x4222)+E(f254(x4223,x4224,x4221,x4225),f254(x4223,x4224,x4222,x4225))
% 198.08/197.86 [423]~E(x4231,x4232)+E(f254(x4233,x4234,x4235,x4231),f254(x4233,x4234,x4235,x4232))
% 198.08/197.86 [424]~E(x4241,x4242)+E(f81(x4241,x4243),f81(x4242,x4243))
% 198.08/197.86 [425]~E(x4251,x4252)+E(f81(x4253,x4251),f81(x4253,x4252))
% 198.08/197.86 [426]~E(x4261,x4262)+E(f89(x4261,x4263),f89(x4262,x4263))
% 198.08/197.86 [427]~E(x4271,x4272)+E(f89(x4273,x4271),f89(x4273,x4272))
% 198.08/197.86 [428]~E(x4281,x4282)+E(f178(x4281,x4283),f178(x4282,x4283))
% 198.08/197.86 [429]~E(x4291,x4292)+E(f178(x4293,x4291),f178(x4293,x4292))
% 198.08/197.86 [430]~E(x4301,x4302)+E(f153(x4301,x4303),f153(x4302,x4303))
% 198.08/197.86 [431]~E(x4311,x4312)+E(f153(x4313,x4311),f153(x4313,x4312))
% 198.08/197.86 [432]~E(x4321,x4322)+E(f262(x4321,x4323),f262(x4322,x4323))
% 198.08/197.86 [433]~E(x4331,x4332)+E(f262(x4333,x4331),f262(x4333,x4332))
% 198.08/197.86 [434]~E(x4341,x4342)+E(f164(x4341),f164(x4342))
% 198.08/197.86 [435]~E(x4351,x4352)+E(f440(x4351,x4353,x4354,x4355),f440(x4352,x4353,x4354,x4355))
% 198.08/197.86 [436]~E(x4361,x4362)+E(f440(x4363,x4361,x4364,x4365),f440(x4363,x4362,x4364,x4365))
% 198.08/197.86 [437]~E(x4371,x4372)+E(f440(x4373,x4374,x4371,x4375),f440(x4373,x4374,x4372,x4375))
% 198.08/197.86 [438]~E(x4381,x4382)+E(f440(x4383,x4384,x4385,x4381),f440(x4383,x4384,x4385,x4382))
% 198.08/197.86 [439]~E(x4391,x4392)+E(f257(x4391,x4393,x4394,x4395,x4396,x4397),f257(x4392,x4393,x4394,x4395,x4396,x4397))
% 198.08/197.86 [440]~E(x4401,x4402)+E(f257(x4403,x4401,x4404,x4405,x4406,x4407),f257(x4403,x4402,x4404,x4405,x4406,x4407))
% 198.08/197.86 [441]~E(x4411,x4412)+E(f257(x4413,x4414,x4411,x4415,x4416,x4417),f257(x4413,x4414,x4412,x4415,x4416,x4417))
% 198.08/197.86 [442]~E(x4421,x4422)+E(f257(x4423,x4424,x4425,x4421,x4426,x4427),f257(x4423,x4424,x4425,x4422,x4426,x4427))
% 198.08/197.86 [443]~E(x4431,x4432)+E(f257(x4433,x4434,x4435,x4436,x4431,x4437),f257(x4433,x4434,x4435,x4436,x4432,x4437))
% 198.08/197.86 [444]~E(x4441,x4442)+E(f257(x4443,x4444,x4445,x4446,x4447,x4441),f257(x4443,x4444,x4445,x4446,x4447,x4442))
% 198.08/197.86 [445]~E(x4451,x4452)+E(f816(x4451,x4453),f816(x4452,x4453))
% 198.08/197.86 [446]~E(x4461,x4462)+E(f816(x4463,x4461),f816(x4463,x4462))
% 198.08/197.86 [447]~E(x4471,x4472)+E(f29(x4471,x4473),f29(x4472,x4473))
% 198.08/197.86 [448]~E(x4481,x4482)+E(f29(x4483,x4481),f29(x4483,x4482))
% 198.08/197.86 [449]~E(x4491,x4492)+E(f224(x4491,x4493,x4494,x4495,x4496),f224(x4492,x4493,x4494,x4495,x4496))
% 198.08/197.86 [450]~E(x4501,x4502)+E(f224(x4503,x4501,x4504,x4505,x4506),f224(x4503,x4502,x4504,x4505,x4506))
% 198.08/197.86 [451]~E(x4511,x4512)+E(f224(x4513,x4514,x4511,x4515,x4516),f224(x4513,x4514,x4512,x4515,x4516))
% 198.08/197.86 [452]~E(x4521,x4522)+E(f224(x4523,x4524,x4525,x4521,x4526),f224(x4523,x4524,x4525,x4522,x4526))
% 198.08/197.86 [453]~E(x4531,x4532)+E(f224(x4533,x4534,x4535,x4536,x4531),f224(x4533,x4534,x4535,x4536,x4532))
% 198.08/197.86 [454]~E(x4541,x4542)+E(f310(x4541,x4543,x4544),f310(x4542,x4543,x4544))
% 198.08/197.86 [455]~E(x4551,x4552)+E(f310(x4553,x4551,x4554),f310(x4553,x4552,x4554))
% 198.08/197.86 [456]~E(x4561,x4562)+E(f310(x4563,x4564,x4561),f310(x4563,x4564,x4562))
% 198.08/197.86 [457]~E(x4571,x4572)+E(f43(x4571),f43(x4572))
% 198.08/197.86 [458]~E(x4581,x4582)+E(f50(x4581,x4583),f50(x4582,x4583))
% 198.08/197.86 [459]~E(x4591,x4592)+E(f50(x4593,x4591),f50(x4593,x4592))
% 198.08/197.86 [460]~E(x4601,x4602)+E(f352(x4601,x4603,x4604),f352(x4602,x4603,x4604))
% 198.08/197.86 [461]~E(x4611,x4612)+E(f352(x4613,x4611,x4614),f352(x4613,x4612,x4614))
% 198.08/197.86 [462]~E(x4621,x4622)+E(f352(x4623,x4624,x4621),f352(x4623,x4624,x4622))
% 198.08/197.86 [463]~E(x4631,x4632)+E(f62(x4631,x4633,x4634),f62(x4632,x4633,x4634))
% 198.08/197.86 [464]~E(x4641,x4642)+E(f62(x4643,x4641,x4644),f62(x4643,x4642,x4644))
% 198.08/197.86 [465]~E(x4651,x4652)+E(f62(x4653,x4654,x4651),f62(x4653,x4654,x4652))
% 198.08/197.86 [466]~E(x4661,x4662)+E(f709(x4661,x4663,x4664,x4665),f709(x4662,x4663,x4664,x4665))
% 198.08/197.86 [467]~E(x4671,x4672)+E(f709(x4673,x4671,x4674,x4675),f709(x4673,x4672,x4674,x4675))
% 198.08/197.86 [468]~E(x4681,x4682)+E(f709(x4683,x4684,x4681,x4685),f709(x4683,x4684,x4682,x4685))
% 198.08/197.86 [469]~E(x4691,x4692)+E(f709(x4693,x4694,x4695,x4691),f709(x4693,x4694,x4695,x4692))
% 198.08/197.86 [470]~E(x4701,x4702)+E(f27(x4701,x4703,x4704),f27(x4702,x4703,x4704))
% 198.08/197.86 [471]~E(x4711,x4712)+E(f27(x4713,x4711,x4714),f27(x4713,x4712,x4714))
% 198.08/197.86 [472]~E(x4721,x4722)+E(f27(x4723,x4724,x4721),f27(x4723,x4724,x4722))
% 198.08/197.86 [473]~E(x4731,x4732)+E(f881(x4731,x4733,x4734),f881(x4732,x4733,x4734))
% 198.08/197.86 [474]~E(x4741,x4742)+E(f881(x4743,x4741,x4744),f881(x4743,x4742,x4744))
% 198.08/197.86 [475]~E(x4751,x4752)+E(f881(x4753,x4754,x4751),f881(x4753,x4754,x4752))
% 198.08/197.86 [476]~E(x4761,x4762)+E(f672(x4761,x4763,x4764),f672(x4762,x4763,x4764))
% 198.08/197.86 [477]~E(x4771,x4772)+E(f672(x4773,x4771,x4774),f672(x4773,x4772,x4774))
% 198.08/197.86 [478]~E(x4781,x4782)+E(f672(x4783,x4784,x4781),f672(x4783,x4784,x4782))
% 198.08/197.86 [479]~E(x4791,x4792)+E(f141(x4791),f141(x4792))
% 198.08/197.86 [480]~E(x4801,x4802)+E(f784(x4801,x4803,x4804,x4805),f784(x4802,x4803,x4804,x4805))
% 198.08/197.86 [481]~E(x4811,x4812)+E(f784(x4813,x4811,x4814,x4815),f784(x4813,x4812,x4814,x4815))
% 198.08/197.86 [482]~E(x4821,x4822)+E(f784(x4823,x4824,x4821,x4825),f784(x4823,x4824,x4822,x4825))
% 198.08/197.86 [483]~E(x4831,x4832)+E(f784(x4833,x4834,x4835,x4831),f784(x4833,x4834,x4835,x4832))
% 198.08/197.86 [484]~E(x4841,x4842)+E(f255(x4841,x4843),f255(x4842,x4843))
% 198.08/197.86 [485]~E(x4851,x4852)+E(f255(x4853,x4851),f255(x4853,x4852))
% 198.08/197.86 [486]~E(x4861,x4862)+E(f294(x4861,x4863,x4864),f294(x4862,x4863,x4864))
% 198.08/197.86 [487]~E(x4871,x4872)+E(f294(x4873,x4871,x4874),f294(x4873,x4872,x4874))
% 198.08/197.86 [488]~E(x4881,x4882)+E(f294(x4883,x4884,x4881),f294(x4883,x4884,x4882))
% 198.08/197.86 [489]~E(x4891,x4892)+E(f435(x4891,x4893),f435(x4892,x4893))
% 198.08/197.86 [490]~E(x4901,x4902)+E(f435(x4903,x4901),f435(x4903,x4902))
% 198.08/197.86 [491]~E(x4911,x4912)+E(f157(x4911,x4913),f157(x4912,x4913))
% 198.08/197.86 [492]~E(x4921,x4922)+E(f157(x4923,x4921),f157(x4923,x4922))
% 198.08/197.86 [493]~E(x4931,x4932)+E(f90(x4931),f90(x4932))
% 198.08/197.86 [494]~E(x4941,x4942)+E(f282(x4941),f282(x4942))
% 198.08/197.86 [495]~E(x4951,x4952)+E(f810(x4951,x4953,x4954,x4955),f810(x4952,x4953,x4954,x4955))
% 198.08/197.86 [496]~E(x4961,x4962)+E(f810(x4963,x4961,x4964,x4965),f810(x4963,x4962,x4964,x4965))
% 198.08/197.86 [497]~E(x4971,x4972)+E(f810(x4973,x4974,x4971,x4975),f810(x4973,x4974,x4972,x4975))
% 198.08/197.86 [498]~E(x4981,x4982)+E(f810(x4983,x4984,x4985,x4981),f810(x4983,x4984,x4985,x4982))
% 198.08/197.86 [499]~E(x4991,x4992)+E(f605(x4991,x4993,x4994,x4995),f605(x4992,x4993,x4994,x4995))
% 198.08/197.86 [500]~E(x5001,x5002)+E(f605(x5003,x5001,x5004,x5005),f605(x5003,x5002,x5004,x5005))
% 198.08/197.86 [501]~E(x5011,x5012)+E(f605(x5013,x5014,x5011,x5015),f605(x5013,x5014,x5012,x5015))
% 198.08/197.86 [502]~E(x5021,x5022)+E(f605(x5023,x5024,x5025,x5021),f605(x5023,x5024,x5025,x5022))
% 198.08/197.86 [503]~E(x5031,x5032)+E(f556(x5031,x5033,x5034,x5035),f556(x5032,x5033,x5034,x5035))
% 198.08/197.86 [504]~E(x5041,x5042)+E(f556(x5043,x5041,x5044,x5045),f556(x5043,x5042,x5044,x5045))
% 198.08/197.86 [505]~E(x5051,x5052)+E(f556(x5053,x5054,x5051,x5055),f556(x5053,x5054,x5052,x5055))
% 198.08/197.86 [506]~E(x5061,x5062)+E(f556(x5063,x5064,x5065,x5061),f556(x5063,x5064,x5065,x5062))
% 198.08/197.86 [507]~E(x5071,x5072)+E(f390(x5071,x5073,x5074,x5075),f390(x5072,x5073,x5074,x5075))
% 198.08/197.86 [508]~E(x5081,x5082)+E(f390(x5083,x5081,x5084,x5085),f390(x5083,x5082,x5084,x5085))
% 198.08/197.86 [509]~E(x5091,x5092)+E(f390(x5093,x5094,x5091,x5095),f390(x5093,x5094,x5092,x5095))
% 198.08/197.86 [510]~E(x5101,x5102)+E(f390(x5103,x5104,x5105,x5101),f390(x5103,x5104,x5105,x5102))
% 198.08/197.86 [511]~E(x5111,x5112)+E(f63(x5111,x5113),f63(x5112,x5113))
% 198.08/197.86 [512]~E(x5121,x5122)+E(f63(x5123,x5121),f63(x5123,x5122))
% 198.08/197.86 [513]~E(x5131,x5132)+E(f313(x5131),f313(x5132))
% 198.08/197.86 [514]~E(x5141,x5142)+E(f165(x5141),f165(x5142))
% 198.08/197.86 [515]~E(x5151,x5152)+E(f821(x5151),f821(x5152))
% 198.08/197.86 [516]~E(x5161,x5162)+E(f49(x5161,x5163),f49(x5162,x5163))
% 198.08/197.86 [517]~E(x5171,x5172)+E(f49(x5173,x5171),f49(x5173,x5172))
% 198.08/197.86 [518]~E(x5181,x5182)+E(f561(x5181,x5183,x5184,x5185,x5186,x5187),f561(x5182,x5183,x5184,x5185,x5186,x5187))
% 198.08/197.86 [519]~E(x5191,x5192)+E(f561(x5193,x5191,x5194,x5195,x5196,x5197),f561(x5193,x5192,x5194,x5195,x5196,x5197))
% 198.08/197.86 [520]~E(x5201,x5202)+E(f561(x5203,x5204,x5201,x5205,x5206,x5207),f561(x5203,x5204,x5202,x5205,x5206,x5207))
% 198.08/197.86 [521]~E(x5211,x5212)+E(f561(x5213,x5214,x5215,x5211,x5216,x5217),f561(x5213,x5214,x5215,x5212,x5216,x5217))
% 198.08/197.86 [522]~E(x5221,x5222)+E(f561(x5223,x5224,x5225,x5226,x5221,x5227),f561(x5223,x5224,x5225,x5226,x5222,x5227))
% 198.08/197.86 [523]~E(x5231,x5232)+E(f561(x5233,x5234,x5235,x5236,x5237,x5231),f561(x5233,x5234,x5235,x5236,x5237,x5232))
% 198.08/197.86 [524]~E(x5241,x5242)+E(f621(x5241,x5243,x5244,x5245,x5246),f621(x5242,x5243,x5244,x5245,x5246))
% 198.08/197.86 [525]~E(x5251,x5252)+E(f621(x5253,x5251,x5254,x5255,x5256),f621(x5253,x5252,x5254,x5255,x5256))
% 198.08/197.86 [526]~E(x5261,x5262)+E(f621(x5263,x5264,x5261,x5265,x5266),f621(x5263,x5264,x5262,x5265,x5266))
% 198.08/197.86 [527]~E(x5271,x5272)+E(f621(x5273,x5274,x5275,x5271,x5276),f621(x5273,x5274,x5275,x5272,x5276))
% 198.08/197.86 [528]~E(x5281,x5282)+E(f621(x5283,x5284,x5285,x5286,x5281),f621(x5283,x5284,x5285,x5286,x5282))
% 198.08/197.86 [529]~E(x5291,x5292)+E(f412(x5291,x5293,x5294),f412(x5292,x5293,x5294))
% 198.08/197.86 [530]~E(x5301,x5302)+E(f412(x5303,x5301,x5304),f412(x5303,x5302,x5304))
% 198.08/197.86 [531]~E(x5311,x5312)+E(f412(x5313,x5314,x5311),f412(x5313,x5314,x5312))
% 198.08/197.86 [532]~E(x5321,x5322)+E(f800(x5321,x5323),f800(x5322,x5323))
% 198.08/197.86 [533]~E(x5331,x5332)+E(f800(x5333,x5331),f800(x5333,x5332))
% 198.08/197.86 [534]~E(x5341,x5342)+E(f76(x5341,x5343,x5344,x5345),f76(x5342,x5343,x5344,x5345))
% 198.08/197.86 [535]~E(x5351,x5352)+E(f76(x5353,x5351,x5354,x5355),f76(x5353,x5352,x5354,x5355))
% 198.08/197.86 [536]~E(x5361,x5362)+E(f76(x5363,x5364,x5361,x5365),f76(x5363,x5364,x5362,x5365))
% 198.08/197.86 [537]~E(x5371,x5372)+E(f76(x5373,x5374,x5375,x5371),f76(x5373,x5374,x5375,x5372))
% 198.08/197.86 [538]~E(x5381,x5382)+E(f281(x5381),f281(x5382))
% 198.08/197.86 [539]~E(x5391,x5392)+E(f869(x5391,x5393),f869(x5392,x5393))
% 198.08/197.86 [540]~E(x5401,x5402)+E(f869(x5403,x5401),f869(x5403,x5402))
% 198.08/197.86 [541]~E(x5411,x5412)+E(f884(x5411,x5413,x5414),f884(x5412,x5413,x5414))
% 198.08/197.86 [542]~E(x5421,x5422)+E(f884(x5423,x5421,x5424),f884(x5423,x5422,x5424))
% 198.08/197.86 [543]~E(x5431,x5432)+E(f884(x5433,x5434,x5431),f884(x5433,x5434,x5432))
% 198.08/197.86 [544]~E(x5441,x5442)+E(f826(x5441,x5443,x5444,x5445,x5446,x5447),f826(x5442,x5443,x5444,x5445,x5446,x5447))
% 198.08/197.86 [545]~E(x5451,x5452)+E(f826(x5453,x5451,x5454,x5455,x5456,x5457),f826(x5453,x5452,x5454,x5455,x5456,x5457))
% 198.08/197.86 [546]~E(x5461,x5462)+E(f826(x5463,x5464,x5461,x5465,x5466,x5467),f826(x5463,x5464,x5462,x5465,x5466,x5467))
% 198.08/197.86 [547]~E(x5471,x5472)+E(f826(x5473,x5474,x5475,x5471,x5476,x5477),f826(x5473,x5474,x5475,x5472,x5476,x5477))
% 198.08/197.86 [548]~E(x5481,x5482)+E(f826(x5483,x5484,x5485,x5486,x5481,x5487),f826(x5483,x5484,x5485,x5486,x5482,x5487))
% 198.08/197.86 [549]~E(x5491,x5492)+E(f826(x5493,x5494,x5495,x5496,x5497,x5491),f826(x5493,x5494,x5495,x5496,x5497,x5492))
% 198.08/197.86 [550]~E(x5501,x5502)+E(f56(x5501),f56(x5502))
% 198.08/197.86 [551]~E(x5511,x5512)+E(f750(x5511,x5513,x5514),f750(x5512,x5513,x5514))
% 198.08/197.86 [552]~E(x5521,x5522)+E(f750(x5523,x5521,x5524),f750(x5523,x5522,x5524))
% 198.08/197.86 [553]~E(x5531,x5532)+E(f750(x5533,x5534,x5531),f750(x5533,x5534,x5532))
% 198.08/197.86 [554]~E(x5541,x5542)+E(f642(x5541,x5543,x5544,x5545,x5546),f642(x5542,x5543,x5544,x5545,x5546))
% 198.08/197.86 [555]~E(x5551,x5552)+E(f642(x5553,x5551,x5554,x5555,x5556),f642(x5553,x5552,x5554,x5555,x5556))
% 198.08/197.86 [556]~E(x5561,x5562)+E(f642(x5563,x5564,x5561,x5565,x5566),f642(x5563,x5564,x5562,x5565,x5566))
% 198.08/197.86 [557]~E(x5571,x5572)+E(f642(x5573,x5574,x5575,x5571,x5576),f642(x5573,x5574,x5575,x5572,x5576))
% 198.08/197.86 [558]~E(x5581,x5582)+E(f642(x5583,x5584,x5585,x5586,x5581),f642(x5583,x5584,x5585,x5586,x5582))
% 198.08/197.86 [559]~E(x5591,x5592)+E(f65(x5591,x5593,x5594),f65(x5592,x5593,x5594))
% 198.08/197.86 [560]~E(x5601,x5602)+E(f65(x5603,x5601,x5604),f65(x5603,x5602,x5604))
% 198.08/197.86 [561]~E(x5611,x5612)+E(f65(x5613,x5614,x5611),f65(x5613,x5614,x5612))
% 198.08/197.86 [562]~E(x5621,x5622)+E(f345(x5621,x5623,x5624),f345(x5622,x5623,x5624))
% 198.08/197.86 [563]~E(x5631,x5632)+E(f345(x5633,x5631,x5634),f345(x5633,x5632,x5634))
% 198.08/197.86 [564]~E(x5641,x5642)+E(f345(x5643,x5644,x5641),f345(x5643,x5644,x5642))
% 198.08/197.86 [565]~E(x5651,x5652)+E(f606(x5651,x5653,x5654,x5655,x5656,x5657),f606(x5652,x5653,x5654,x5655,x5656,x5657))
% 198.08/197.86 [566]~E(x5661,x5662)+E(f606(x5663,x5661,x5664,x5665,x5666,x5667),f606(x5663,x5662,x5664,x5665,x5666,x5667))
% 198.08/197.86 [567]~E(x5671,x5672)+E(f606(x5673,x5674,x5671,x5675,x5676,x5677),f606(x5673,x5674,x5672,x5675,x5676,x5677))
% 198.08/197.86 [568]~E(x5681,x5682)+E(f606(x5683,x5684,x5685,x5681,x5686,x5687),f606(x5683,x5684,x5685,x5682,x5686,x5687))
% 198.08/197.86 [569]~E(x5691,x5692)+E(f606(x5693,x5694,x5695,x5696,x5691,x5697),f606(x5693,x5694,x5695,x5696,x5692,x5697))
% 198.08/197.86 [570]~E(x5701,x5702)+E(f606(x5703,x5704,x5705,x5706,x5707,x5701),f606(x5703,x5704,x5705,x5706,x5707,x5702))
% 198.08/197.86 [571]~E(x5711,x5712)+E(f315(x5711,x5713),f315(x5712,x5713))
% 198.08/197.86 [572]~E(x5721,x5722)+E(f315(x5723,x5721),f315(x5723,x5722))
% 198.08/197.86 [573]~E(x5731,x5732)+E(f148(x5731,x5733,x5734),f148(x5732,x5733,x5734))
% 198.08/197.86 [574]~E(x5741,x5742)+E(f148(x5743,x5741,x5744),f148(x5743,x5742,x5744))
% 198.08/197.86 [575]~E(x5751,x5752)+E(f148(x5753,x5754,x5751),f148(x5753,x5754,x5752))
% 198.08/197.86 [576]~E(x5761,x5762)+E(f91(x5761,x5763,x5764,x5765),f91(x5762,x5763,x5764,x5765))
% 198.08/197.86 [577]~E(x5771,x5772)+E(f91(x5773,x5771,x5774,x5775),f91(x5773,x5772,x5774,x5775))
% 198.08/197.86 [578]~E(x5781,x5782)+E(f91(x5783,x5784,x5781,x5785),f91(x5783,x5784,x5782,x5785))
% 198.08/197.86 [579]~E(x5791,x5792)+E(f91(x5793,x5794,x5795,x5791),f91(x5793,x5794,x5795,x5792))
% 198.08/197.86 [580]~E(x5801,x5802)+E(f882(x5801,x5803,x5804),f882(x5802,x5803,x5804))
% 198.08/197.86 [581]~E(x5811,x5812)+E(f882(x5813,x5811,x5814),f882(x5813,x5812,x5814))
% 198.08/197.86 [582]~E(x5821,x5822)+E(f882(x5823,x5824,x5821),f882(x5823,x5824,x5822))
% 198.08/197.86 [583]~E(x5831,x5832)+E(f303(x5831),f303(x5832))
% 198.08/197.86 [584]~E(x5841,x5842)+E(f92(x5841,x5843,x5844),f92(x5842,x5843,x5844))
% 198.08/197.86 [585]~E(x5851,x5852)+E(f92(x5853,x5851,x5854),f92(x5853,x5852,x5854))
% 198.08/197.86 [586]~E(x5861,x5862)+E(f92(x5863,x5864,x5861),f92(x5863,x5864,x5862))
% 198.08/197.86 [587]~E(x5871,x5872)+E(f899(x5871,x5873),f899(x5872,x5873))
% 198.08/197.86 [588]~E(x5881,x5882)+E(f899(x5883,x5881),f899(x5883,x5882))
% 198.08/197.86 [589]~E(x5891,x5892)+E(f743(x5891,x5893),f743(x5892,x5893))
% 198.08/197.86 [590]~E(x5901,x5902)+E(f743(x5903,x5901),f743(x5903,x5902))
% 198.08/197.86 [591]~E(x5911,x5912)+E(f455(x5911,x5913),f455(x5912,x5913))
% 198.08/197.86 [592]~E(x5921,x5922)+E(f455(x5923,x5921),f455(x5923,x5922))
% 198.08/197.86 [593]~E(x5931,x5932)+E(f125(x5931,x5933),f125(x5932,x5933))
% 198.08/197.86 [594]~E(x5941,x5942)+E(f125(x5943,x5941),f125(x5943,x5942))
% 198.08/197.86 [595]~E(x5951,x5952)+E(f837(x5951,x5953,x5954,x5955),f837(x5952,x5953,x5954,x5955))
% 198.08/197.86 [596]~E(x5961,x5962)+E(f837(x5963,x5961,x5964,x5965),f837(x5963,x5962,x5964,x5965))
% 198.08/197.86 [597]~E(x5971,x5972)+E(f837(x5973,x5974,x5971,x5975),f837(x5973,x5974,x5972,x5975))
% 198.08/197.86 [598]~E(x5981,x5982)+E(f837(x5983,x5984,x5985,x5981),f837(x5983,x5984,x5985,x5982))
% 198.08/197.86 [599]~E(x5991,x5992)+E(f920(x5991,x5993,x5994,x5995,x5996,x5997,x5998),f920(x5992,x5993,x5994,x5995,x5996,x5997,x5998))
% 198.08/197.86 [600]~E(x6001,x6002)+E(f920(x6003,x6001,x6004,x6005,x6006,x6007,x6008),f920(x6003,x6002,x6004,x6005,x6006,x6007,x6008))
% 198.08/197.86 [601]~E(x6011,x6012)+E(f920(x6013,x6014,x6011,x6015,x6016,x6017,x6018),f920(x6013,x6014,x6012,x6015,x6016,x6017,x6018))
% 198.08/197.86 [602]~E(x6021,x6022)+E(f920(x6023,x6024,x6025,x6021,x6026,x6027,x6028),f920(x6023,x6024,x6025,x6022,x6026,x6027,x6028))
% 198.08/197.86 [603]~E(x6031,x6032)+E(f920(x6033,x6034,x6035,x6036,x6031,x6037,x6038),f920(x6033,x6034,x6035,x6036,x6032,x6037,x6038))
% 198.08/197.86 [604]~E(x6041,x6042)+E(f920(x6043,x6044,x6045,x6046,x6047,x6041,x6048),f920(x6043,x6044,x6045,x6046,x6047,x6042,x6048))
% 198.08/197.86 [605]~E(x6051,x6052)+E(f920(x6053,x6054,x6055,x6056,x6057,x6058,x6051),f920(x6053,x6054,x6055,x6056,x6057,x6058,x6052))
% 198.08/197.86 [606]~E(x6061,x6062)+E(f741(x6061,x6063),f741(x6062,x6063))
% 198.08/197.86 [607]~E(x6071,x6072)+E(f741(x6073,x6071),f741(x6073,x6072))
% 198.08/197.86 [608]~E(x6081,x6082)+E(f304(x6081,x6083,x6084),f304(x6082,x6083,x6084))
% 198.08/197.86 [609]~E(x6091,x6092)+E(f304(x6093,x6091,x6094),f304(x6093,x6092,x6094))
% 198.08/197.86 [610]~E(x6101,x6102)+E(f304(x6103,x6104,x6101),f304(x6103,x6104,x6102))
% 198.08/197.86 [611]~E(x6111,x6112)+E(f654(x6111,x6113,x6114,x6115),f654(x6112,x6113,x6114,x6115))
% 198.08/197.86 [612]~E(x6121,x6122)+E(f654(x6123,x6121,x6124,x6125),f654(x6123,x6122,x6124,x6125))
% 198.08/197.86 [613]~E(x6131,x6132)+E(f654(x6133,x6134,x6131,x6135),f654(x6133,x6134,x6132,x6135))
% 198.08/197.86 [614]~E(x6141,x6142)+E(f654(x6143,x6144,x6145,x6141),f654(x6143,x6144,x6145,x6142))
% 198.08/197.86 [615]~E(x6151,x6152)+E(f880(x6151,x6153,x6154),f880(x6152,x6153,x6154))
% 198.08/197.86 [616]~E(x6161,x6162)+E(f880(x6163,x6161,x6164),f880(x6163,x6162,x6164))
% 198.08/197.86 [617]~E(x6171,x6172)+E(f880(x6173,x6174,x6171),f880(x6173,x6174,x6172))
% 198.08/197.86 [618]~E(x6181,x6182)+E(f749(x6181,x6183),f749(x6182,x6183))
% 198.08/197.86 [619]~E(x6191,x6192)+E(f749(x6193,x6191),f749(x6193,x6192))
% 198.08/197.86 [620]~E(x6201,x6202)+E(f872(x6201,x6203),f872(x6202,x6203))
% 198.08/197.86 [621]~E(x6211,x6212)+E(f872(x6213,x6211),f872(x6213,x6212))
% 198.08/197.86 [622]~E(x6221,x6222)+E(f858(x6221,x6223,x6224,x6225,x6226,x6227,x6228,x6229),f858(x6222,x6223,x6224,x6225,x6226,x6227,x6228,x6229))
% 198.08/197.86 [623]~E(x6231,x6232)+E(f858(x6233,x6231,x6234,x6235,x6236,x6237,x6238,x6239),f858(x6233,x6232,x6234,x6235,x6236,x6237,x6238,x6239))
% 198.08/197.86 [624]~E(x6241,x6242)+E(f858(x6243,x6244,x6241,x6245,x6246,x6247,x6248,x6249),f858(x6243,x6244,x6242,x6245,x6246,x6247,x6248,x6249))
% 198.08/197.86 [625]~E(x6251,x6252)+E(f858(x6253,x6254,x6255,x6251,x6256,x6257,x6258,x6259),f858(x6253,x6254,x6255,x6252,x6256,x6257,x6258,x6259))
% 198.08/197.86 [626]~E(x6261,x6262)+E(f858(x6263,x6264,x6265,x6266,x6261,x6267,x6268,x6269),f858(x6263,x6264,x6265,x6266,x6262,x6267,x6268,x6269))
% 198.08/197.86 [627]~E(x6271,x6272)+E(f858(x6273,x6274,x6275,x6276,x6277,x6271,x6278,x6279),f858(x6273,x6274,x6275,x6276,x6277,x6272,x6278,x6279))
% 198.08/197.86 [628]~E(x6281,x6282)+E(f858(x6283,x6284,x6285,x6286,x6287,x6288,x6281,x6289),f858(x6283,x6284,x6285,x6286,x6287,x6288,x6282,x6289))
% 198.08/197.86 [629]~E(x6291,x6292)+E(f858(x6293,x6294,x6295,x6296,x6297,x6298,x6299,x6291),f858(x6293,x6294,x6295,x6296,x6297,x6298,x6299,x6292))
% 198.08/197.86 [630]~E(x6301,x6302)+E(f714(x6301,x6303),f714(x6302,x6303))
% 198.08/197.86 [631]~E(x6311,x6312)+E(f714(x6313,x6311),f714(x6313,x6312))
% 198.08/197.86 [632]~E(x6321,x6322)+E(f137(x6321),f137(x6322))
% 198.08/197.86 [633]~E(x6331,x6332)+E(f145(x6331,x6333),f145(x6332,x6333))
% 198.08/197.86 [634]~E(x6341,x6342)+E(f145(x6343,x6341),f145(x6343,x6342))
% 198.08/197.86 [635]~E(x6351,x6352)+E(f156(x6351,x6353,x6354,x6355),f156(x6352,x6353,x6354,x6355))
% 198.08/197.86 [636]~E(x6361,x6362)+E(f156(x6363,x6361,x6364,x6365),f156(x6363,x6362,x6364,x6365))
% 198.08/197.86 [637]~E(x6371,x6372)+E(f156(x6373,x6374,x6371,x6375),f156(x6373,x6374,x6372,x6375))
% 198.08/197.86 [638]~E(x6381,x6382)+E(f156(x6383,x6384,x6385,x6381),f156(x6383,x6384,x6385,x6382))
% 198.08/197.86 [639]~E(x6391,x6392)+E(f427(x6391,x6393,x6394,x6395,x6396,x6397),f427(x6392,x6393,x6394,x6395,x6396,x6397))
% 198.08/197.86 [640]~E(x6401,x6402)+E(f427(x6403,x6401,x6404,x6405,x6406,x6407),f427(x6403,x6402,x6404,x6405,x6406,x6407))
% 198.08/197.86 [641]~E(x6411,x6412)+E(f427(x6413,x6414,x6411,x6415,x6416,x6417),f427(x6413,x6414,x6412,x6415,x6416,x6417))
% 198.08/197.86 [642]~E(x6421,x6422)+E(f427(x6423,x6424,x6425,x6421,x6426,x6427),f427(x6423,x6424,x6425,x6422,x6426,x6427))
% 198.08/197.86 [643]~E(x6431,x6432)+E(f427(x6433,x6434,x6435,x6436,x6431,x6437),f427(x6433,x6434,x6435,x6436,x6432,x6437))
% 198.08/197.86 [644]~E(x6441,x6442)+E(f427(x6443,x6444,x6445,x6446,x6447,x6441),f427(x6443,x6444,x6445,x6446,x6447,x6442))
% 198.08/197.86 [645]~E(x6451,x6452)+E(f501(x6451),f501(x6452))
% 198.08/197.86 [646]~E(x6461,x6462)+E(f777(x6461,x6463,x6464),f777(x6462,x6463,x6464))
% 198.08/197.86 [647]~E(x6471,x6472)+E(f777(x6473,x6471,x6474),f777(x6473,x6472,x6474))
% 198.08/197.86 [648]~E(x6481,x6482)+E(f777(x6483,x6484,x6481),f777(x6483,x6484,x6482))
% 198.08/197.86 [649]~E(x6491,x6492)+E(f635(x6491,x6493),f635(x6492,x6493))
% 198.08/197.86 [650]~E(x6501,x6502)+E(f635(x6503,x6501),f635(x6503,x6502))
% 198.08/197.86 [651]~E(x6511,x6512)+E(f53(x6511,x6513),f53(x6512,x6513))
% 198.08/197.86 [652]~E(x6521,x6522)+E(f53(x6523,x6521),f53(x6523,x6522))
% 198.08/197.86 [653]~E(x6531,x6532)+E(f644(x6531,x6533,x6534,x6535,x6536),f644(x6532,x6533,x6534,x6535,x6536))
% 198.08/197.86 [654]~E(x6541,x6542)+E(f644(x6543,x6541,x6544,x6545,x6546),f644(x6543,x6542,x6544,x6545,x6546))
% 198.08/197.86 [655]~E(x6551,x6552)+E(f644(x6553,x6554,x6551,x6555,x6556),f644(x6553,x6554,x6552,x6555,x6556))
% 198.08/197.86 [656]~E(x6561,x6562)+E(f644(x6563,x6564,x6565,x6561,x6566),f644(x6563,x6564,x6565,x6562,x6566))
% 198.08/197.86 [657]~E(x6571,x6572)+E(f644(x6573,x6574,x6575,x6576,x6571),f644(x6573,x6574,x6575,x6576,x6572))
% 198.08/197.86 [658]~E(x6581,x6582)+E(f348(x6581,x6583,x6584,x6585,x6586,x6587,x6588),f348(x6582,x6583,x6584,x6585,x6586,x6587,x6588))
% 198.08/197.86 [659]~E(x6591,x6592)+E(f348(x6593,x6591,x6594,x6595,x6596,x6597,x6598),f348(x6593,x6592,x6594,x6595,x6596,x6597,x6598))
% 198.08/197.86 [660]~E(x6601,x6602)+E(f348(x6603,x6604,x6601,x6605,x6606,x6607,x6608),f348(x6603,x6604,x6602,x6605,x6606,x6607,x6608))
% 198.08/197.86 [661]~E(x6611,x6612)+E(f348(x6613,x6614,x6615,x6611,x6616,x6617,x6618),f348(x6613,x6614,x6615,x6612,x6616,x6617,x6618))
% 198.08/197.86 [662]~E(x6621,x6622)+E(f348(x6623,x6624,x6625,x6626,x6621,x6627,x6628),f348(x6623,x6624,x6625,x6626,x6622,x6627,x6628))
% 198.08/197.86 [663]~E(x6631,x6632)+E(f348(x6633,x6634,x6635,x6636,x6637,x6631,x6638),f348(x6633,x6634,x6635,x6636,x6637,x6632,x6638))
% 198.08/197.86 [664]~E(x6641,x6642)+E(f348(x6643,x6644,x6645,x6646,x6647,x6648,x6641),f348(x6643,x6644,x6645,x6646,x6647,x6648,x6642))
% 198.08/197.86 [665]~E(x6651,x6652)+E(f483(x6651,x6653,x6654,x6655,x6656),f483(x6652,x6653,x6654,x6655,x6656))
% 198.08/197.86 [666]~E(x6661,x6662)+E(f483(x6663,x6661,x6664,x6665,x6666),f483(x6663,x6662,x6664,x6665,x6666))
% 198.08/197.86 [667]~E(x6671,x6672)+E(f483(x6673,x6674,x6671,x6675,x6676),f483(x6673,x6674,x6672,x6675,x6676))
% 198.08/197.86 [668]~E(x6681,x6682)+E(f483(x6683,x6684,x6685,x6681,x6686),f483(x6683,x6684,x6685,x6682,x6686))
% 198.08/197.86 [669]~E(x6691,x6692)+E(f483(x6693,x6694,x6695,x6696,x6691),f483(x6693,x6694,x6695,x6696,x6692))
% 198.08/197.86 [670]~E(x6701,x6702)+E(f46(x6701,x6703),f46(x6702,x6703))
% 198.08/197.86 [671]~E(x6711,x6712)+E(f46(x6713,x6711),f46(x6713,x6712))
% 198.08/197.86 [672]~E(x6721,x6722)+E(f54(x6721,x6723),f54(x6722,x6723))
% 198.08/197.86 [673]~E(x6731,x6732)+E(f54(x6733,x6731),f54(x6733,x6732))
% 198.08/197.86 [674]~E(x6741,x6742)+E(f68(x6741,x6743,x6744),f68(x6742,x6743,x6744))
% 198.08/197.86 [675]~E(x6751,x6752)+E(f68(x6753,x6751,x6754),f68(x6753,x6752,x6754))
% 198.08/197.86 [676]~E(x6761,x6762)+E(f68(x6763,x6764,x6761),f68(x6763,x6764,x6762))
% 198.08/197.86 [677]~E(x6771,x6772)+E(f38(x6771,x6773),f38(x6772,x6773))
% 198.08/197.86 [678]~E(x6781,x6782)+E(f38(x6783,x6781),f38(x6783,x6782))
% 198.08/197.86 [679]~E(x6791,x6792)+E(f653(x6791,x6793,x6794,x6795),f653(x6792,x6793,x6794,x6795))
% 198.08/197.86 [680]~E(x6801,x6802)+E(f653(x6803,x6801,x6804,x6805),f653(x6803,x6802,x6804,x6805))
% 198.08/197.86 [681]~E(x6811,x6812)+E(f653(x6813,x6814,x6811,x6815),f653(x6813,x6814,x6812,x6815))
% 198.08/197.86 [682]~E(x6821,x6822)+E(f653(x6823,x6824,x6825,x6821),f653(x6823,x6824,x6825,x6822))
% 198.08/197.86 [683]~E(x6831,x6832)+E(f710(x6831,x6833,x6834,x6835,x6836),f710(x6832,x6833,x6834,x6835,x6836))
% 198.08/197.86 [684]~E(x6841,x6842)+E(f710(x6843,x6841,x6844,x6845,x6846),f710(x6843,x6842,x6844,x6845,x6846))
% 198.08/197.86 [685]~E(x6851,x6852)+E(f710(x6853,x6854,x6851,x6855,x6856),f710(x6853,x6854,x6852,x6855,x6856))
% 198.08/197.86 [686]~E(x6861,x6862)+E(f710(x6863,x6864,x6865,x6861,x6866),f710(x6863,x6864,x6865,x6862,x6866))
% 198.08/197.86 [687]~E(x6871,x6872)+E(f710(x6873,x6874,x6875,x6876,x6871),f710(x6873,x6874,x6875,x6876,x6872))
% 198.08/197.86 [688]~E(x6881,x6882)+E(f723(x6881,x6883,x6884),f723(x6882,x6883,x6884))
% 198.08/197.86 [689]~E(x6891,x6892)+E(f723(x6893,x6891,x6894),f723(x6893,x6892,x6894))
% 198.08/197.86 [690]~E(x6901,x6902)+E(f723(x6903,x6904,x6901),f723(x6903,x6904,x6902))
% 198.08/197.86 [691]~E(x6911,x6912)+E(f305(x6911,x6913,x6914),f305(x6912,x6913,x6914))
% 198.08/197.86 [692]~E(x6921,x6922)+E(f305(x6923,x6921,x6924),f305(x6923,x6922,x6924))
% 198.08/197.86 [693]~E(x6931,x6932)+E(f305(x6933,x6934,x6931),f305(x6933,x6934,x6932))
% 198.08/197.86 [694]~E(x6941,x6942)+E(f575(x6941,x6943,x6944,x6945,x6946,x6947),f575(x6942,x6943,x6944,x6945,x6946,x6947))
% 198.08/197.86 [695]~E(x6951,x6952)+E(f575(x6953,x6951,x6954,x6955,x6956,x6957),f575(x6953,x6952,x6954,x6955,x6956,x6957))
% 198.08/197.86 [696]~E(x6961,x6962)+E(f575(x6963,x6964,x6961,x6965,x6966,x6967),f575(x6963,x6964,x6962,x6965,x6966,x6967))
% 198.08/197.86 [697]~E(x6971,x6972)+E(f575(x6973,x6974,x6975,x6971,x6976,x6977),f575(x6973,x6974,x6975,x6972,x6976,x6977))
% 198.08/197.86 [698]~E(x6981,x6982)+E(f575(x6983,x6984,x6985,x6986,x6981,x6987),f575(x6983,x6984,x6985,x6986,x6982,x6987))
% 198.08/197.86 [699]~E(x6991,x6992)+E(f575(x6993,x6994,x6995,x6996,x6997,x6991),f575(x6993,x6994,x6995,x6996,x6997,x6992))
% 198.08/197.86 [700]~E(x7001,x7002)+E(f263(x7001,x7003),f263(x7002,x7003))
% 198.08/197.86 [701]~E(x7011,x7012)+E(f263(x7013,x7011),f263(x7013,x7012))
% 198.08/197.86 [702]~E(x7021,x7022)+E(f489(x7021,x7023),f489(x7022,x7023))
% 198.08/197.86 [703]~E(x7031,x7032)+E(f489(x7033,x7031),f489(x7033,x7032))
% 198.08/197.86 [704]~E(x7041,x7042)+E(f194(x7041,x7043),f194(x7042,x7043))
% 198.08/197.86 [705]~E(x7051,x7052)+E(f194(x7053,x7051),f194(x7053,x7052))
% 198.08/197.86 [706]~E(x7061,x7062)+E(f74(x7061,x7063,x7064,x7065,x7066),f74(x7062,x7063,x7064,x7065,x7066))
% 198.08/197.86 [707]~E(x7071,x7072)+E(f74(x7073,x7071,x7074,x7075,x7076),f74(x7073,x7072,x7074,x7075,x7076))
% 198.08/197.86 [708]~E(x7081,x7082)+E(f74(x7083,x7084,x7081,x7085,x7086),f74(x7083,x7084,x7082,x7085,x7086))
% 198.08/197.86 [709]~E(x7091,x7092)+E(f74(x7093,x7094,x7095,x7091,x7096),f74(x7093,x7094,x7095,x7092,x7096))
% 198.08/197.86 [710]~E(x7101,x7102)+E(f74(x7103,x7104,x7105,x7106,x7101),f74(x7103,x7104,x7105,x7106,x7102))
% 198.08/197.86 [711]~E(x7111,x7112)+E(f652(x7111,x7113,x7114,x7115,x7116),f652(x7112,x7113,x7114,x7115,x7116))
% 198.08/197.86 [712]~E(x7121,x7122)+E(f652(x7123,x7121,x7124,x7125,x7126),f652(x7123,x7122,x7124,x7125,x7126))
% 198.08/197.86 [713]~E(x7131,x7132)+E(f652(x7133,x7134,x7131,x7135,x7136),f652(x7133,x7134,x7132,x7135,x7136))
% 198.08/197.86 [714]~E(x7141,x7142)+E(f652(x7143,x7144,x7145,x7141,x7146),f652(x7143,x7144,x7145,x7142,x7146))
% 198.08/197.86 [715]~E(x7151,x7152)+E(f652(x7153,x7154,x7155,x7156,x7151),f652(x7153,x7154,x7155,x7156,x7152))
% 198.08/197.86 [716]~E(x7161,x7162)+E(f135(x7161),f135(x7162))
% 198.08/197.86 [717]~E(x7171,x7172)+E(f242(x7171,x7173,x7174),f242(x7172,x7173,x7174))
% 198.08/197.86 [718]~E(x7181,x7182)+E(f242(x7183,x7181,x7184),f242(x7183,x7182,x7184))
% 198.08/197.86 [719]~E(x7191,x7192)+E(f242(x7193,x7194,x7191),f242(x7193,x7194,x7192))
% 198.08/197.86 [720]~E(x7201,x7202)+E(f186(x7201),f186(x7202))
% 198.08/197.86 [721]~E(x7211,x7212)+E(f252(x7211,x7213,x7214,x7215,x7216),f252(x7212,x7213,x7214,x7215,x7216))
% 198.08/197.86 [722]~E(x7221,x7222)+E(f252(x7223,x7221,x7224,x7225,x7226),f252(x7223,x7222,x7224,x7225,x7226))
% 198.08/197.86 [723]~E(x7231,x7232)+E(f252(x7233,x7234,x7231,x7235,x7236),f252(x7233,x7234,x7232,x7235,x7236))
% 198.08/197.86 [724]~E(x7241,x7242)+E(f252(x7243,x7244,x7245,x7241,x7246),f252(x7243,x7244,x7245,x7242,x7246))
% 198.08/197.86 [725]~E(x7251,x7252)+E(f252(x7253,x7254,x7255,x7256,x7251),f252(x7253,x7254,x7255,x7256,x7252))
% 198.08/197.86 [726]~E(x7261,x7262)+E(f595(x7261,x7263),f595(x7262,x7263))
% 198.08/197.86 [727]~E(x7271,x7272)+E(f595(x7273,x7271),f595(x7273,x7272))
% 198.08/197.86 [728]~E(x7281,x7282)+E(f96(x7281),f96(x7282))
% 198.08/197.86 [729]~E(x7291,x7292)+E(f791(x7291,x7293,x7294,x7295),f791(x7292,x7293,x7294,x7295))
% 198.08/197.86 [730]~E(x7301,x7302)+E(f791(x7303,x7301,x7304,x7305),f791(x7303,x7302,x7304,x7305))
% 198.08/197.86 [731]~E(x7311,x7312)+E(f791(x7313,x7314,x7311,x7315),f791(x7313,x7314,x7312,x7315))
% 198.08/197.86 [732]~E(x7321,x7322)+E(f791(x7323,x7324,x7325,x7321),f791(x7323,x7324,x7325,x7322))
% 198.08/197.86 [733]~E(x7331,x7332)+E(f715(x7331,x7333,x7334),f715(x7332,x7333,x7334))
% 198.08/197.86 [734]~E(x7341,x7342)+E(f715(x7343,x7341,x7344),f715(x7343,x7342,x7344))
% 198.08/197.86 [735]~E(x7351,x7352)+E(f715(x7353,x7354,x7351),f715(x7353,x7354,x7352))
% 198.08/197.86 [736]~E(x7361,x7362)+E(f853(x7361,x7363,x7364,x7365),f853(x7362,x7363,x7364,x7365))
% 198.08/197.86 [737]~E(x7371,x7372)+E(f853(x7373,x7371,x7374,x7375),f853(x7373,x7372,x7374,x7375))
% 198.08/197.86 [738]~E(x7381,x7382)+E(f853(x7383,x7384,x7381,x7385),f853(x7383,x7384,x7382,x7385))
% 198.08/197.86 [739]~E(x7391,x7392)+E(f853(x7393,x7394,x7395,x7391),f853(x7393,x7394,x7395,x7392))
% 198.08/197.86 [740]~E(x7401,x7402)+E(f195(x7401,x7403,x7404,x7405),f195(x7402,x7403,x7404,x7405))
% 198.08/197.86 [741]~E(x7411,x7412)+E(f195(x7413,x7411,x7414,x7415),f195(x7413,x7412,x7414,x7415))
% 198.08/197.86 [742]~E(x7421,x7422)+E(f195(x7423,x7424,x7421,x7425),f195(x7423,x7424,x7422,x7425))
% 198.08/197.86 [743]~E(x7431,x7432)+E(f195(x7433,x7434,x7435,x7431),f195(x7433,x7434,x7435,x7432))
% 198.08/197.86 [744]~E(x7441,x7442)+E(f482(x7441,x7443,x7444,x7445,x7446),f482(x7442,x7443,x7444,x7445,x7446))
% 198.08/197.86 [745]~E(x7451,x7452)+E(f482(x7453,x7451,x7454,x7455,x7456),f482(x7453,x7452,x7454,x7455,x7456))
% 198.08/197.86 [746]~E(x7461,x7462)+E(f482(x7463,x7464,x7461,x7465,x7466),f482(x7463,x7464,x7462,x7465,x7466))
% 198.08/197.86 [747]~E(x7471,x7472)+E(f482(x7473,x7474,x7475,x7471,x7476),f482(x7473,x7474,x7475,x7472,x7476))
% 198.08/197.86 [748]~E(x7481,x7482)+E(f482(x7483,x7484,x7485,x7486,x7481),f482(x7483,x7484,x7485,x7486,x7482))
% 198.08/197.86 [749]~E(x7491,x7492)+E(f547(x7491,x7493,x7494,x7495),f547(x7492,x7493,x7494,x7495))
% 198.08/197.86 [750]~E(x7501,x7502)+E(f547(x7503,x7501,x7504,x7505),f547(x7503,x7502,x7504,x7505))
% 198.08/197.86 [751]~E(x7511,x7512)+E(f547(x7513,x7514,x7511,x7515),f547(x7513,x7514,x7512,x7515))
% 198.08/197.86 [752]~E(x7521,x7522)+E(f547(x7523,x7524,x7525,x7521),f547(x7523,x7524,x7525,x7522))
% 198.08/197.86 [753]~E(x7531,x7532)+E(f646(x7531,x7533,x7534,x7535),f646(x7532,x7533,x7534,x7535))
% 198.08/197.86 [754]~E(x7541,x7542)+E(f646(x7543,x7541,x7544,x7545),f646(x7543,x7542,x7544,x7545))
% 198.08/197.86 [755]~E(x7551,x7552)+E(f646(x7553,x7554,x7551,x7555),f646(x7553,x7554,x7552,x7555))
% 198.08/197.86 [756]~E(x7561,x7562)+E(f646(x7563,x7564,x7565,x7561),f646(x7563,x7564,x7565,x7562))
% 198.08/197.86 [757]~E(x7571,x7572)+E(f527(x7571,x7573,x7574),f527(x7572,x7573,x7574))
% 198.08/197.86 [758]~E(x7581,x7582)+E(f527(x7583,x7581,x7584),f527(x7583,x7582,x7584))
% 198.08/197.86 [759]~E(x7591,x7592)+E(f527(x7593,x7594,x7591),f527(x7593,x7594,x7592))
% 198.08/197.86 [760]~E(x7601,x7602)+E(f705(x7601,x7603,x7604),f705(x7602,x7603,x7604))
% 198.08/197.86 [761]~E(x7611,x7612)+E(f705(x7613,x7611,x7614),f705(x7613,x7612,x7614))
% 198.08/197.86 [762]~E(x7621,x7622)+E(f705(x7623,x7624,x7621),f705(x7623,x7624,x7622))
% 198.08/197.86 [763]~E(x7631,x7632)+E(f293(x7631,x7633,x7634),f293(x7632,x7633,x7634))
% 198.08/197.86 [764]~E(x7641,x7642)+E(f293(x7643,x7641,x7644),f293(x7643,x7642,x7644))
% 198.08/197.86 [765]~E(x7651,x7652)+E(f293(x7653,x7654,x7651),f293(x7653,x7654,x7652))
% 198.08/197.86 [766]~E(x7661,x7662)+E(f21(x7661,x7663,x7664,x7665),f21(x7662,x7663,x7664,x7665))
% 198.08/197.86 [767]~E(x7671,x7672)+E(f21(x7673,x7671,x7674,x7675),f21(x7673,x7672,x7674,x7675))
% 198.08/197.86 [768]~E(x7681,x7682)+E(f21(x7683,x7684,x7681,x7685),f21(x7683,x7684,x7682,x7685))
% 198.08/197.86 [769]~E(x7691,x7692)+E(f21(x7693,x7694,x7695,x7691),f21(x7693,x7694,x7695,x7692))
% 198.08/197.86 [770]~E(x7701,x7702)+E(f155(x7701,x7703,x7704),f155(x7702,x7703,x7704))
% 198.08/197.86 [771]~E(x7711,x7712)+E(f155(x7713,x7711,x7714),f155(x7713,x7712,x7714))
% 198.08/197.86 [772]~E(x7721,x7722)+E(f155(x7723,x7724,x7721),f155(x7723,x7724,x7722))
% 198.08/197.86 [773]~E(x7731,x7732)+E(f691(x7731,x7733,x7734),f691(x7732,x7733,x7734))
% 198.08/197.86 [774]~E(x7741,x7742)+E(f691(x7743,x7741,x7744),f691(x7743,x7742,x7744))
% 198.08/197.86 [775]~E(x7751,x7752)+E(f691(x7753,x7754,x7751),f691(x7753,x7754,x7752))
% 198.08/197.86 [776]~E(x7761,x7762)+E(f143(x7761,x7763),f143(x7762,x7763))
% 198.08/197.86 [777]~E(x7771,x7772)+E(f143(x7773,x7771),f143(x7773,x7772))
% 198.08/197.86 [778]~E(x7781,x7782)+E(f378(x7781,x7783,x7784,x7785),f378(x7782,x7783,x7784,x7785))
% 198.08/197.86 [779]~E(x7791,x7792)+E(f378(x7793,x7791,x7794,x7795),f378(x7793,x7792,x7794,x7795))
% 198.08/197.86 [780]~E(x7801,x7802)+E(f378(x7803,x7804,x7801,x7805),f378(x7803,x7804,x7802,x7805))
% 198.08/197.86 [781]~E(x7811,x7812)+E(f378(x7813,x7814,x7815,x7811),f378(x7813,x7814,x7815,x7812))
% 198.08/197.86 [782]~E(x7821,x7822)+E(f803(x7821,x7823),f803(x7822,x7823))
% 198.08/197.86 [783]~E(x7831,x7832)+E(f803(x7833,x7831),f803(x7833,x7832))
% 198.08/197.86 [784]~E(x7841,x7842)+E(f269(x7841,x7843),f269(x7842,x7843))
% 198.08/197.86 [785]~E(x7851,x7852)+E(f269(x7853,x7851),f269(x7853,x7852))
% 198.08/197.86 [786]~E(x7861,x7862)+E(f618(x7861,x7863,x7864,x7865),f618(x7862,x7863,x7864,x7865))
% 198.08/197.86 [787]~E(x7871,x7872)+E(f618(x7873,x7871,x7874,x7875),f618(x7873,x7872,x7874,x7875))
% 198.08/197.86 [788]~E(x7881,x7882)+E(f618(x7883,x7884,x7881,x7885),f618(x7883,x7884,x7882,x7885))
% 198.08/197.86 [789]~E(x7891,x7892)+E(f618(x7893,x7894,x7895,x7891),f618(x7893,x7894,x7895,x7892))
% 198.08/197.86 [790]~E(x7901,x7902)+E(f565(x7901,x7903,x7904,x7905,x7906,x7907),f565(x7902,x7903,x7904,x7905,x7906,x7907))
% 198.08/197.86 [791]~E(x7911,x7912)+E(f565(x7913,x7911,x7914,x7915,x7916,x7917),f565(x7913,x7912,x7914,x7915,x7916,x7917))
% 198.08/197.86 [792]~E(x7921,x7922)+E(f565(x7923,x7924,x7921,x7925,x7926,x7927),f565(x7923,x7924,x7922,x7925,x7926,x7927))
% 198.08/197.86 [793]~E(x7931,x7932)+E(f565(x7933,x7934,x7935,x7931,x7936,x7937),f565(x7933,x7934,x7935,x7932,x7936,x7937))
% 198.08/197.86 [794]~E(x7941,x7942)+E(f565(x7943,x7944,x7945,x7946,x7941,x7947),f565(x7943,x7944,x7945,x7946,x7942,x7947))
% 198.08/197.86 [795]~E(x7951,x7952)+E(f565(x7953,x7954,x7955,x7956,x7957,x7951),f565(x7953,x7954,x7955,x7956,x7957,x7952))
% 198.08/197.86 [796]~E(x7961,x7962)+E(f246(x7961,x7963,x7964),f246(x7962,x7963,x7964))
% 198.08/197.86 [797]~E(x7971,x7972)+E(f246(x7973,x7971,x7974),f246(x7973,x7972,x7974))
% 198.08/197.86 [798]~E(x7981,x7982)+E(f246(x7983,x7984,x7981),f246(x7983,x7984,x7982))
% 198.08/197.86 [799]~E(x7991,x7992)+E(f568(x7991),f568(x7992))
% 198.08/197.86 [800]~E(x8001,x8002)+E(f698(x8001,x8003,x8004,x8005),f698(x8002,x8003,x8004,x8005))
% 198.08/197.86 [801]~E(x8011,x8012)+E(f698(x8013,x8011,x8014,x8015),f698(x8013,x8012,x8014,x8015))
% 198.08/197.86 [802]~E(x8021,x8022)+E(f698(x8023,x8024,x8021,x8025),f698(x8023,x8024,x8022,x8025))
% 198.08/197.86 [803]~E(x8031,x8032)+E(f698(x8033,x8034,x8035,x8031),f698(x8033,x8034,x8035,x8032))
% 198.08/197.86 [804]~E(x8041,x8042)+E(f496(x8041,x8043,x8044,x8045),f496(x8042,x8043,x8044,x8045))
% 198.08/197.86 [805]~E(x8051,x8052)+E(f496(x8053,x8051,x8054,x8055),f496(x8053,x8052,x8054,x8055))
% 198.08/197.86 [806]~E(x8061,x8062)+E(f496(x8063,x8064,x8061,x8065),f496(x8063,x8064,x8062,x8065))
% 198.08/197.86 [807]~E(x8071,x8072)+E(f496(x8073,x8074,x8075,x8071),f496(x8073,x8074,x8075,x8072))
% 198.08/197.86 [808]~E(x8081,x8082)+E(f846(x8081,x8083,x8084,x8085,x8086,x8087),f846(x8082,x8083,x8084,x8085,x8086,x8087))
% 198.08/197.86 [809]~E(x8091,x8092)+E(f846(x8093,x8091,x8094,x8095,x8096,x8097),f846(x8093,x8092,x8094,x8095,x8096,x8097))
% 198.08/197.86 [810]~E(x8101,x8102)+E(f846(x8103,x8104,x8101,x8105,x8106,x8107),f846(x8103,x8104,x8102,x8105,x8106,x8107))
% 198.08/197.86 [811]~E(x8111,x8112)+E(f846(x8113,x8114,x8115,x8111,x8116,x8117),f846(x8113,x8114,x8115,x8112,x8116,x8117))
% 198.08/197.86 [812]~E(x8121,x8122)+E(f846(x8123,x8124,x8125,x8126,x8121,x8127),f846(x8123,x8124,x8125,x8126,x8122,x8127))
% 198.08/197.86 [813]~E(x8131,x8132)+E(f846(x8133,x8134,x8135,x8136,x8137,x8131),f846(x8133,x8134,x8135,x8136,x8137,x8132))
% 198.08/197.86 [814]~E(x8141,x8142)+E(f895(x8141,x8143,x8144,x8145,x8146),f895(x8142,x8143,x8144,x8145,x8146))
% 198.08/197.86 [815]~E(x8151,x8152)+E(f895(x8153,x8151,x8154,x8155,x8156),f895(x8153,x8152,x8154,x8155,x8156))
% 198.08/197.86 [816]~E(x8161,x8162)+E(f895(x8163,x8164,x8161,x8165,x8166),f895(x8163,x8164,x8162,x8165,x8166))
% 198.08/197.86 [817]~E(x8171,x8172)+E(f895(x8173,x8174,x8175,x8171,x8176),f895(x8173,x8174,x8175,x8172,x8176))
% 198.08/197.86 [818]~E(x8181,x8182)+E(f895(x8183,x8184,x8185,x8186,x8181),f895(x8183,x8184,x8185,x8186,x8182))
% 198.08/197.86 [819]~E(x8191,x8192)+E(f713(x8191,x8193,x8194,x8195,x8196,x8197,x8198),f713(x8192,x8193,x8194,x8195,x8196,x8197,x8198))
% 198.08/197.86 [820]~E(x8201,x8202)+E(f713(x8203,x8201,x8204,x8205,x8206,x8207,x8208),f713(x8203,x8202,x8204,x8205,x8206,x8207,x8208))
% 198.08/197.86 [821]~E(x8211,x8212)+E(f713(x8213,x8214,x8211,x8215,x8216,x8217,x8218),f713(x8213,x8214,x8212,x8215,x8216,x8217,x8218))
% 198.08/197.86 [822]~E(x8221,x8222)+E(f713(x8223,x8224,x8225,x8221,x8226,x8227,x8228),f713(x8223,x8224,x8225,x8222,x8226,x8227,x8228))
% 198.08/197.86 [823]~E(x8231,x8232)+E(f713(x8233,x8234,x8235,x8236,x8231,x8237,x8238),f713(x8233,x8234,x8235,x8236,x8232,x8237,x8238))
% 198.08/197.86 [824]~E(x8241,x8242)+E(f713(x8243,x8244,x8245,x8246,x8247,x8241,x8248),f713(x8243,x8244,x8245,x8246,x8247,x8242,x8248))
% 198.08/197.86 [825]~E(x8251,x8252)+E(f713(x8253,x8254,x8255,x8256,x8257,x8258,x8251),f713(x8253,x8254,x8255,x8256,x8257,x8258,x8252))
% 198.08/197.86 [826]~E(x8261,x8262)+E(f425(x8261,x8263),f425(x8262,x8263))
% 198.08/197.86 [827]~E(x8271,x8272)+E(f425(x8273,x8271),f425(x8273,x8272))
% 198.08/197.86 [828]~E(x8281,x8282)+E(f909(x8281,x8283,x8284),f909(x8282,x8283,x8284))
% 198.08/197.86 [829]~E(x8291,x8292)+E(f909(x8293,x8291,x8294),f909(x8293,x8292,x8294))
% 198.08/197.86 [830]~E(x8301,x8302)+E(f909(x8303,x8304,x8301),f909(x8303,x8304,x8302))
% 198.08/197.86 [831]~E(x8311,x8312)+E(f921(x8311,x8313,x8314,x8315,x8316,x8317,x8318),f921(x8312,x8313,x8314,x8315,x8316,x8317,x8318))
% 198.08/197.86 [832]~E(x8321,x8322)+E(f921(x8323,x8321,x8324,x8325,x8326,x8327,x8328),f921(x8323,x8322,x8324,x8325,x8326,x8327,x8328))
% 198.08/197.86 [833]~E(x8331,x8332)+E(f921(x8333,x8334,x8331,x8335,x8336,x8337,x8338),f921(x8333,x8334,x8332,x8335,x8336,x8337,x8338))
% 198.08/197.86 [834]~E(x8341,x8342)+E(f921(x8343,x8344,x8345,x8341,x8346,x8347,x8348),f921(x8343,x8344,x8345,x8342,x8346,x8347,x8348))
% 198.08/197.86 [835]~E(x8351,x8352)+E(f921(x8353,x8354,x8355,x8356,x8351,x8357,x8358),f921(x8353,x8354,x8355,x8356,x8352,x8357,x8358))
% 198.08/197.86 [836]~E(x8361,x8362)+E(f921(x8363,x8364,x8365,x8366,x8367,x8361,x8368),f921(x8363,x8364,x8365,x8366,x8367,x8362,x8368))
% 198.08/197.86 [837]~E(x8371,x8372)+E(f921(x8373,x8374,x8375,x8376,x8377,x8378,x8371),f921(x8373,x8374,x8375,x8376,x8377,x8378,x8372))
% 198.08/197.86 [838]~E(x8381,x8382)+E(f718(x8381,x8383),f718(x8382,x8383))
% 198.08/197.86 [839]~E(x8391,x8392)+E(f718(x8393,x8391),f718(x8393,x8392))
% 198.08/197.86 [840]~E(x8401,x8402)+E(f462(x8401,x8403,x8404,x8405),f462(x8402,x8403,x8404,x8405))
% 198.08/197.86 [841]~E(x8411,x8412)+E(f462(x8413,x8411,x8414,x8415),f462(x8413,x8412,x8414,x8415))
% 198.08/197.86 [842]~E(x8421,x8422)+E(f462(x8423,x8424,x8421,x8425),f462(x8423,x8424,x8422,x8425))
% 198.08/197.86 [843]~E(x8431,x8432)+E(f462(x8433,x8434,x8435,x8431),f462(x8433,x8434,x8435,x8432))
% 198.08/197.86 [844]~E(x8441,x8442)+E(f498(x8441,x8443,x8444,x8445),f498(x8442,x8443,x8444,x8445))
% 198.08/197.86 [845]~E(x8451,x8452)+E(f498(x8453,x8451,x8454,x8455),f498(x8453,x8452,x8454,x8455))
% 198.08/197.86 [846]~E(x8461,x8462)+E(f498(x8463,x8464,x8461,x8465),f498(x8463,x8464,x8462,x8465))
% 198.08/197.86 [847]~E(x8471,x8472)+E(f498(x8473,x8474,x8475,x8471),f498(x8473,x8474,x8475,x8472))
% 198.08/197.86 [848]~E(x8481,x8482)+E(f878(x8481,x8483,x8484),f878(x8482,x8483,x8484))
% 198.08/197.86 [849]~E(x8491,x8492)+E(f878(x8493,x8491,x8494),f878(x8493,x8492,x8494))
% 198.08/197.86 [850]~E(x8501,x8502)+E(f878(x8503,x8504,x8501),f878(x8503,x8504,x8502))
% 198.08/197.86 [851]~E(x8511,x8512)+E(f415(x8511,x8513,x8514),f415(x8512,x8513,x8514))
% 198.08/197.86 [852]~E(x8521,x8522)+E(f415(x8523,x8521,x8524),f415(x8523,x8522,x8524))
% 198.08/197.86 [853]~E(x8531,x8532)+E(f415(x8533,x8534,x8531),f415(x8533,x8534,x8532))
% 198.08/197.86 [854]~E(x8541,x8542)+E(f879(x8541,x8543,x8544),f879(x8542,x8543,x8544))
% 198.08/197.86 [855]~E(x8551,x8552)+E(f879(x8553,x8551,x8554),f879(x8553,x8552,x8554))
% 198.08/197.86 [856]~E(x8561,x8562)+E(f879(x8563,x8564,x8561),f879(x8563,x8564,x8562))
% 198.08/197.86 [857]~E(x8571,x8572)+E(f117(x8571,x8573,x8574),f117(x8572,x8573,x8574))
% 198.08/197.86 [858]~E(x8581,x8582)+E(f117(x8583,x8581,x8584),f117(x8583,x8582,x8584))
% 198.08/197.86 [859]~E(x8591,x8592)+E(f117(x8593,x8594,x8591),f117(x8593,x8594,x8592))
% 198.08/197.86 [860]~E(x8601,x8602)+E(f707(x8601,x8603,x8604,x8605,x8606),f707(x8602,x8603,x8604,x8605,x8606))
% 198.08/197.86 [861]~E(x8611,x8612)+E(f707(x8613,x8611,x8614,x8615,x8616),f707(x8613,x8612,x8614,x8615,x8616))
% 198.08/197.86 [862]~E(x8621,x8622)+E(f707(x8623,x8624,x8621,x8625,x8626),f707(x8623,x8624,x8622,x8625,x8626))
% 198.08/197.86 [863]~E(x8631,x8632)+E(f707(x8633,x8634,x8635,x8631,x8636),f707(x8633,x8634,x8635,x8632,x8636))
% 198.08/197.86 [864]~E(x8641,x8642)+E(f707(x8643,x8644,x8645,x8646,x8641),f707(x8643,x8644,x8645,x8646,x8642))
% 198.08/197.86 [865]~E(x8651,x8652)+E(f245(x8651,x8653,x8654,x8655,x8656,x8657),f245(x8652,x8653,x8654,x8655,x8656,x8657))
% 198.08/197.86 [866]~E(x8661,x8662)+E(f245(x8663,x8661,x8664,x8665,x8666,x8667),f245(x8663,x8662,x8664,x8665,x8666,x8667))
% 198.08/197.86 [867]~E(x8671,x8672)+E(f245(x8673,x8674,x8671,x8675,x8676,x8677),f245(x8673,x8674,x8672,x8675,x8676,x8677))
% 198.08/197.86 [868]~E(x8681,x8682)+E(f245(x8683,x8684,x8685,x8681,x8686,x8687),f245(x8683,x8684,x8685,x8682,x8686,x8687))
% 198.08/197.86 [869]~E(x8691,x8692)+E(f245(x8693,x8694,x8695,x8696,x8691,x8697),f245(x8693,x8694,x8695,x8696,x8692,x8697))
% 198.08/197.86 [870]~E(x8701,x8702)+E(f245(x8703,x8704,x8705,x8706,x8707,x8701),f245(x8703,x8704,x8705,x8706,x8707,x8702))
% 198.08/197.86 [871]~E(x8711,x8712)+E(f430(x8711,x8713,x8714,x8715,x8716),f430(x8712,x8713,x8714,x8715,x8716))
% 198.08/197.86 [872]~E(x8721,x8722)+E(f430(x8723,x8721,x8724,x8725,x8726),f430(x8723,x8722,x8724,x8725,x8726))
% 198.08/197.86 [873]~E(x8731,x8732)+E(f430(x8733,x8734,x8731,x8735,x8736),f430(x8733,x8734,x8732,x8735,x8736))
% 198.08/197.86 [874]~E(x8741,x8742)+E(f430(x8743,x8744,x8745,x8741,x8746),f430(x8743,x8744,x8745,x8742,x8746))
% 198.08/197.86 [875]~E(x8751,x8752)+E(f430(x8753,x8754,x8755,x8756,x8751),f430(x8753,x8754,x8755,x8756,x8752))
% 198.08/197.86 [876]~E(x8761,x8762)+E(f170(x8761,x8763,x8764),f170(x8762,x8763,x8764))
% 198.08/197.86 [877]~E(x8771,x8772)+E(f170(x8773,x8771,x8774),f170(x8773,x8772,x8774))
% 198.08/197.86 [878]~E(x8781,x8782)+E(f170(x8783,x8784,x8781),f170(x8783,x8784,x8782))
% 198.08/197.86 [879]~E(x8791,x8792)+E(f528(x8791,x8793,x8794,x8795,x8796,x8797,x8798,x8799),f528(x8792,x8793,x8794,x8795,x8796,x8797,x8798,x8799))
% 198.08/197.86 [880]~E(x8801,x8802)+E(f528(x8803,x8801,x8804,x8805,x8806,x8807,x8808,x8809),f528(x8803,x8802,x8804,x8805,x8806,x8807,x8808,x8809))
% 198.08/197.86 [881]~E(x8811,x8812)+E(f528(x8813,x8814,x8811,x8815,x8816,x8817,x8818,x8819),f528(x8813,x8814,x8812,x8815,x8816,x8817,x8818,x8819))
% 198.08/197.86 [882]~E(x8821,x8822)+E(f528(x8823,x8824,x8825,x8821,x8826,x8827,x8828,x8829),f528(x8823,x8824,x8825,x8822,x8826,x8827,x8828,x8829))
% 198.08/197.86 [883]~E(x8831,x8832)+E(f528(x8833,x8834,x8835,x8836,x8831,x8837,x8838,x8839),f528(x8833,x8834,x8835,x8836,x8832,x8837,x8838,x8839))
% 198.08/197.86 [884]~E(x8841,x8842)+E(f528(x8843,x8844,x8845,x8846,x8847,x8841,x8848,x8849),f528(x8843,x8844,x8845,x8846,x8847,x8842,x8848,x8849))
% 198.08/197.86 [885]~E(x8851,x8852)+E(f528(x8853,x8854,x8855,x8856,x8857,x8858,x8851,x8859),f528(x8853,x8854,x8855,x8856,x8857,x8858,x8852,x8859))
% 198.08/197.86 [886]~E(x8861,x8862)+E(f528(x8863,x8864,x8865,x8866,x8867,x8868,x8869,x8861),f528(x8863,x8864,x8865,x8866,x8867,x8868,x8869,x8862))
% 198.08/197.86 [887]~E(x8871,x8872)+E(f414(x8871,x8873,x8874),f414(x8872,x8873,x8874))
% 198.08/197.86 [888]~E(x8881,x8882)+E(f414(x8883,x8881,x8884),f414(x8883,x8882,x8884))
% 198.08/197.86 [889]~E(x8891,x8892)+E(f414(x8893,x8894,x8891),f414(x8893,x8894,x8892))
% 198.08/197.86 [890]~E(x8901,x8902)+E(f507(x8901,x8903,x8904),f507(x8902,x8903,x8904))
% 198.08/197.86 [891]~E(x8911,x8912)+E(f507(x8913,x8911,x8914),f507(x8913,x8912,x8914))
% 198.08/197.86 [892]~E(x8921,x8922)+E(f507(x8923,x8924,x8921),f507(x8923,x8924,x8922))
% 198.08/197.86 [893]~E(x8931,x8932)+E(f906(x8931,x8933,x8934,x8935,x8936),f906(x8932,x8933,x8934,x8935,x8936))
% 198.08/197.86 [894]~E(x8941,x8942)+E(f906(x8943,x8941,x8944,x8945,x8946),f906(x8943,x8942,x8944,x8945,x8946))
% 198.08/197.86 [895]~E(x8951,x8952)+E(f906(x8953,x8954,x8951,x8955,x8956),f906(x8953,x8954,x8952,x8955,x8956))
% 198.08/197.86 [896]~E(x8961,x8962)+E(f906(x8963,x8964,x8965,x8961,x8966),f906(x8963,x8964,x8965,x8962,x8966))
% 198.08/197.86 [897]~E(x8971,x8972)+E(f906(x8973,x8974,x8975,x8976,x8971),f906(x8973,x8974,x8975,x8976,x8972))
% 198.08/197.86 [898]~E(x8981,x8982)+E(f439(x8981,x8983,x8984,x8985),f439(x8982,x8983,x8984,x8985))
% 198.08/197.86 [899]~E(x8991,x8992)+E(f439(x8993,x8991,x8994,x8995),f439(x8993,x8992,x8994,x8995))
% 198.08/197.86 [900]~E(x9001,x9002)+E(f439(x9003,x9004,x9001,x9005),f439(x9003,x9004,x9002,x9005))
% 198.08/197.86 [901]~E(x9011,x9012)+E(f439(x9013,x9014,x9015,x9011),f439(x9013,x9014,x9015,x9012))
% 198.08/197.86 [902]~E(x9021,x9022)+E(f129(x9021),f129(x9022))
% 198.08/197.86 [903]~E(x9031,x9032)+E(f515(x9031,x9033,x9034,x9035,x9036,x9037,x9038),f515(x9032,x9033,x9034,x9035,x9036,x9037,x9038))
% 198.08/197.86 [904]~E(x9041,x9042)+E(f515(x9043,x9041,x9044,x9045,x9046,x9047,x9048),f515(x9043,x9042,x9044,x9045,x9046,x9047,x9048))
% 198.08/197.86 [905]~E(x9051,x9052)+E(f515(x9053,x9054,x9051,x9055,x9056,x9057,x9058),f515(x9053,x9054,x9052,x9055,x9056,x9057,x9058))
% 198.08/197.86 [906]~E(x9061,x9062)+E(f515(x9063,x9064,x9065,x9061,x9066,x9067,x9068),f515(x9063,x9064,x9065,x9062,x9066,x9067,x9068))
% 198.08/197.86 [907]~E(x9071,x9072)+E(f515(x9073,x9074,x9075,x9076,x9071,x9077,x9078),f515(x9073,x9074,x9075,x9076,x9072,x9077,x9078))
% 198.08/197.86 [908]~E(x9081,x9082)+E(f515(x9083,x9084,x9085,x9086,x9087,x9081,x9088),f515(x9083,x9084,x9085,x9086,x9087,x9082,x9088))
% 198.08/197.86 [909]~E(x9091,x9092)+E(f515(x9093,x9094,x9095,x9096,x9097,x9098,x9091),f515(x9093,x9094,x9095,x9096,x9097,x9098,x9092))
% 198.08/197.86 [910]~E(x9101,x9102)+E(f808(x9101,x9103,x9104,x9105),f808(x9102,x9103,x9104,x9105))
% 198.08/197.86 [911]~E(x9111,x9112)+E(f808(x9113,x9111,x9114,x9115),f808(x9113,x9112,x9114,x9115))
% 198.08/197.86 [912]~E(x9121,x9122)+E(f808(x9123,x9124,x9121,x9125),f808(x9123,x9124,x9122,x9125))
% 198.08/197.86 [913]~E(x9131,x9132)+E(f808(x9133,x9134,x9135,x9131),f808(x9133,x9134,x9135,x9132))
% 198.08/197.86 [914]~E(x9141,x9142)+E(f410(x9141,x9143,x9144),f410(x9142,x9143,x9144))
% 198.08/197.86 [915]~E(x9151,x9152)+E(f410(x9153,x9151,x9154),f410(x9153,x9152,x9154))
% 198.08/197.86 [916]~E(x9161,x9162)+E(f410(x9163,x9164,x9161),f410(x9163,x9164,x9162))
% 198.08/197.86 [917]~E(x9171,x9172)+E(f265(x9171,x9173),f265(x9172,x9173))
% 198.08/197.86 [918]~E(x9181,x9182)+E(f265(x9183,x9181),f265(x9183,x9182))
% 198.08/197.86 [919]~E(x9191,x9192)+E(f827(x9191,x9193,x9194,x9195,x9196,x9197),f827(x9192,x9193,x9194,x9195,x9196,x9197))
% 198.08/197.86 [920]~E(x9201,x9202)+E(f827(x9203,x9201,x9204,x9205,x9206,x9207),f827(x9203,x9202,x9204,x9205,x9206,x9207))
% 198.08/197.86 [921]~E(x9211,x9212)+E(f827(x9213,x9214,x9211,x9215,x9216,x9217),f827(x9213,x9214,x9212,x9215,x9216,x9217))
% 198.08/197.86 [922]~E(x9221,x9222)+E(f827(x9223,x9224,x9225,x9221,x9226,x9227),f827(x9223,x9224,x9225,x9222,x9226,x9227))
% 198.08/197.86 [923]~E(x9231,x9232)+E(f827(x9233,x9234,x9235,x9236,x9231,x9237),f827(x9233,x9234,x9235,x9236,x9232,x9237))
% 198.08/197.86 [924]~E(x9241,x9242)+E(f827(x9243,x9244,x9245,x9246,x9247,x9241),f827(x9243,x9244,x9245,x9246,x9247,x9242))
% 198.08/197.86 [925]~E(x9251,x9252)+E(f275(x9251,x9253,x9254,x9255),f275(x9252,x9253,x9254,x9255))
% 198.08/197.86 [926]~E(x9261,x9262)+E(f275(x9263,x9261,x9264,x9265),f275(x9263,x9262,x9264,x9265))
% 198.08/197.86 [927]~E(x9271,x9272)+E(f275(x9273,x9274,x9271,x9275),f275(x9273,x9274,x9272,x9275))
% 198.08/197.86 [928]~E(x9281,x9282)+E(f275(x9283,x9284,x9285,x9281),f275(x9283,x9284,x9285,x9282))
% 198.08/197.86 [929]~E(x9291,x9292)+E(f619(x9291,x9293,x9294,x9295),f619(x9292,x9293,x9294,x9295))
% 198.08/197.86 [930]~E(x9301,x9302)+E(f619(x9303,x9301,x9304,x9305),f619(x9303,x9302,x9304,x9305))
% 198.08/197.86 [931]~E(x9311,x9312)+E(f619(x9313,x9314,x9311,x9315),f619(x9313,x9314,x9312,x9315))
% 198.08/197.86 [932]~E(x9321,x9322)+E(f619(x9323,x9324,x9325,x9321),f619(x9323,x9324,x9325,x9322))
% 198.08/197.86 [933]~E(x9331,x9332)+E(f296(x9331,x9333,x9334,x9335,x9336),f296(x9332,x9333,x9334,x9335,x9336))
% 198.08/197.86 [934]~E(x9341,x9342)+E(f296(x9343,x9341,x9344,x9345,x9346),f296(x9343,x9342,x9344,x9345,x9346))
% 198.08/197.86 [935]~E(x9351,x9352)+E(f296(x9353,x9354,x9351,x9355,x9356),f296(x9353,x9354,x9352,x9355,x9356))
% 198.08/197.86 [936]~E(x9361,x9362)+E(f296(x9363,x9364,x9365,x9361,x9366),f296(x9363,x9364,x9365,x9362,x9366))
% 198.08/197.86 [937]~E(x9371,x9372)+E(f296(x9373,x9374,x9375,x9376,x9371),f296(x9373,x9374,x9375,x9376,x9372))
% 198.08/197.86 [938]~E(x9381,x9382)+E(f516(x9381,x9383,x9384,x9385,x9386,x9387,x9388),f516(x9382,x9383,x9384,x9385,x9386,x9387,x9388))
% 198.08/197.86 [939]~E(x9391,x9392)+E(f516(x9393,x9391,x9394,x9395,x9396,x9397,x9398),f516(x9393,x9392,x9394,x9395,x9396,x9397,x9398))
% 198.08/197.86 [940]~E(x9401,x9402)+E(f516(x9403,x9404,x9401,x9405,x9406,x9407,x9408),f516(x9403,x9404,x9402,x9405,x9406,x9407,x9408))
% 198.08/197.86 [941]~E(x9411,x9412)+E(f516(x9413,x9414,x9415,x9411,x9416,x9417,x9418),f516(x9413,x9414,x9415,x9412,x9416,x9417,x9418))
% 198.08/197.86 [942]~E(x9421,x9422)+E(f516(x9423,x9424,x9425,x9426,x9421,x9427,x9428),f516(x9423,x9424,x9425,x9426,x9422,x9427,x9428))
% 198.08/197.86 [943]~E(x9431,x9432)+E(f516(x9433,x9434,x9435,x9436,x9437,x9431,x9438),f516(x9433,x9434,x9435,x9436,x9437,x9432,x9438))
% 198.08/197.86 [944]~E(x9441,x9442)+E(f516(x9443,x9444,x9445,x9446,x9447,x9448,x9441),f516(x9443,x9444,x9445,x9446,x9447,x9448,x9442))
% 198.08/197.86 [945]~E(x9451,x9452)+E(f533(x9451,x9453,x9454),f533(x9452,x9453,x9454))
% 198.08/197.86 [946]~E(x9461,x9462)+E(f533(x9463,x9461,x9464),f533(x9463,x9462,x9464))
% 198.08/197.86 [947]~E(x9471,x9472)+E(f533(x9473,x9474,x9471),f533(x9473,x9474,x9472))
% 198.08/197.86 [948]~E(x9481,x9482)+E(f192(x9481,x9483),f192(x9482,x9483))
% 198.08/197.86 [949]~E(x9491,x9492)+E(f192(x9493,x9491),f192(x9493,x9492))
% 198.08/197.86 [950]~E(x9501,x9502)+E(f732(x9501,x9503,x9504,x9505,x9506),f732(x9502,x9503,x9504,x9505,x9506))
% 198.08/197.86 [951]~E(x9511,x9512)+E(f732(x9513,x9511,x9514,x9515,x9516),f732(x9513,x9512,x9514,x9515,x9516))
% 198.08/197.86 [952]~E(x9521,x9522)+E(f732(x9523,x9524,x9521,x9525,x9526),f732(x9523,x9524,x9522,x9525,x9526))
% 198.08/197.86 [953]~E(x9531,x9532)+E(f732(x9533,x9534,x9535,x9531,x9536),f732(x9533,x9534,x9535,x9532,x9536))
% 198.08/197.86 [954]~E(x9541,x9542)+E(f732(x9543,x9544,x9545,x9546,x9541),f732(x9543,x9544,x9545,x9546,x9542))
% 198.08/197.86 [955]~E(x9551,x9552)+E(f121(x9551,x9553),f121(x9552,x9553))
% 198.08/197.86 [956]~E(x9561,x9562)+E(f121(x9563,x9561),f121(x9563,x9562))
% 198.08/197.86 [957]~E(x9571,x9572)+E(f480(x9571,x9573,x9574,x9575,x9576),f480(x9572,x9573,x9574,x9575,x9576))
% 198.08/197.86 [958]~E(x9581,x9582)+E(f480(x9583,x9581,x9584,x9585,x9586),f480(x9583,x9582,x9584,x9585,x9586))
% 198.08/197.86 [959]~E(x9591,x9592)+E(f480(x9593,x9594,x9591,x9595,x9596),f480(x9593,x9594,x9592,x9595,x9596))
% 198.08/197.86 [960]~E(x9601,x9602)+E(f480(x9603,x9604,x9605,x9601,x9606),f480(x9603,x9604,x9605,x9602,x9606))
% 198.08/197.86 [961]~E(x9611,x9612)+E(f480(x9613,x9614,x9615,x9616,x9611),f480(x9613,x9614,x9615,x9616,x9612))
% 198.08/197.86 [962]~E(x9621,x9622)+E(f132(x9621,x9623),f132(x9622,x9623))
% 198.08/197.86 [963]~E(x9631,x9632)+E(f132(x9633,x9631),f132(x9633,x9632))
% 198.08/197.86 [964]~E(x9641,x9642)+E(f581(x9641,x9643,x9644),f581(x9642,x9643,x9644))
% 198.08/197.86 [965]~E(x9651,x9652)+E(f581(x9653,x9651,x9654),f581(x9653,x9652,x9654))
% 198.08/197.86 [966]~E(x9661,x9662)+E(f581(x9663,x9664,x9661),f581(x9663,x9664,x9662))
% 198.08/197.86 [967]~E(x9671,x9672)+E(f673(x9671,x9673,x9674),f673(x9672,x9673,x9674))
% 198.08/197.86 [968]~E(x9681,x9682)+E(f673(x9683,x9681,x9684),f673(x9683,x9682,x9684))
% 198.08/197.86 [969]~E(x9691,x9692)+E(f673(x9693,x9694,x9691),f673(x9693,x9694,x9692))
% 198.08/197.86 [970]~E(x9701,x9702)+E(f270(x9701,x9703,x9704,x9705),f270(x9702,x9703,x9704,x9705))
% 198.08/197.86 [971]~E(x9711,x9712)+E(f270(x9713,x9711,x9714,x9715),f270(x9713,x9712,x9714,x9715))
% 198.08/197.86 [972]~E(x9721,x9722)+E(f270(x9723,x9724,x9721,x9725),f270(x9723,x9724,x9722,x9725))
% 198.08/197.86 [973]~E(x9731,x9732)+E(f270(x9733,x9734,x9735,x9731),f270(x9733,x9734,x9735,x9732))
% 198.08/197.86 [974]~E(x9741,x9742)+E(f206(x9741,x9743,x9744,x9745),f206(x9742,x9743,x9744,x9745))
% 198.08/197.86 [975]~E(x9751,x9752)+E(f206(x9753,x9751,x9754,x9755),f206(x9753,x9752,x9754,x9755))
% 198.08/197.86 [976]~E(x9761,x9762)+E(f206(x9763,x9764,x9761,x9765),f206(x9763,x9764,x9762,x9765))
% 198.08/197.86 [977]~E(x9771,x9772)+E(f206(x9773,x9774,x9775,x9771),f206(x9773,x9774,x9775,x9772))
% 198.08/197.86 [978]~E(x9781,x9782)+E(f903(x9781,x9783),f903(x9782,x9783))
% 198.08/197.86 [979]~E(x9791,x9792)+E(f903(x9793,x9791),f903(x9793,x9792))
% 198.08/197.86 [980]~E(x9801,x9802)+E(f471(x9801,x9803,x9804,x9805),f471(x9802,x9803,x9804,x9805))
% 198.08/197.86 [981]~E(x9811,x9812)+E(f471(x9813,x9811,x9814,x9815),f471(x9813,x9812,x9814,x9815))
% 198.08/197.86 [982]~E(x9821,x9822)+E(f471(x9823,x9824,x9821,x9825),f471(x9823,x9824,x9822,x9825))
% 198.08/197.86 [983]~E(x9831,x9832)+E(f471(x9833,x9834,x9835,x9831),f471(x9833,x9834,x9835,x9832))
% 198.08/197.86 [984]~E(x9841,x9842)+E(f539(x9841,x9843,x9844),f539(x9842,x9843,x9844))
% 198.08/197.86 [985]~E(x9851,x9852)+E(f539(x9853,x9851,x9854),f539(x9853,x9852,x9854))
% 198.08/197.86 [986]~E(x9861,x9862)+E(f539(x9863,x9864,x9861),f539(x9863,x9864,x9862))
% 198.08/197.86 [987]~E(x9871,x9872)+E(f576(x9871,x9873,x9874,x9875,x9876,x9877),f576(x9872,x9873,x9874,x9875,x9876,x9877))
% 198.08/197.86 [988]~E(x9881,x9882)+E(f576(x9883,x9881,x9884,x9885,x9886,x9887),f576(x9883,x9882,x9884,x9885,x9886,x9887))
% 198.08/197.86 [989]~E(x9891,x9892)+E(f576(x9893,x9894,x9891,x9895,x9896,x9897),f576(x9893,x9894,x9892,x9895,x9896,x9897))
% 198.08/197.86 [990]~E(x9901,x9902)+E(f576(x9903,x9904,x9905,x9901,x9906,x9907),f576(x9903,x9904,x9905,x9902,x9906,x9907))
% 198.08/197.86 [991]~E(x9911,x9912)+E(f576(x9913,x9914,x9915,x9916,x9911,x9917),f576(x9913,x9914,x9915,x9916,x9912,x9917))
% 198.08/197.86 [992]~E(x9921,x9922)+E(f576(x9923,x9924,x9925,x9926,x9927,x9921),f576(x9923,x9924,x9925,x9926,x9927,x9922))
% 198.08/197.86 [993]~E(x9931,x9932)+E(f266(x9931),f266(x9932))
% 198.08/197.86 [994]~E(x9941,x9942)+E(f465(x9941,x9943,x9944,x9945),f465(x9942,x9943,x9944,x9945))
% 198.08/197.86 [995]~E(x9951,x9952)+E(f465(x9953,x9951,x9954,x9955),f465(x9953,x9952,x9954,x9955))
% 198.08/197.86 [996]~E(x9961,x9962)+E(f465(x9963,x9964,x9961,x9965),f465(x9963,x9964,x9962,x9965))
% 198.08/197.86 [997]~E(x9971,x9972)+E(f465(x9973,x9974,x9975,x9971),f465(x9973,x9974,x9975,x9972))
% 198.08/197.86 [998]~E(x9981,x9982)+E(f267(x9981,x9983),f267(x9982,x9983))
% 198.08/197.86 [999]~E(x9991,x9992)+E(f267(x9993,x9991),f267(x9993,x9992))
% 198.08/197.86 [1000]~E(x10001,x10002)+E(f426(x10001,x10003,x10004),f426(x10002,x10003,x10004))
% 198.08/197.86 [1001]~E(x10011,x10012)+E(f426(x10013,x10011,x10014),f426(x10013,x10012,x10014))
% 198.08/197.86 [1002]~E(x10021,x10022)+E(f426(x10023,x10024,x10021),f426(x10023,x10024,x10022))
% 198.08/197.86 [1003]~E(x10031,x10032)+E(f779(x10031,x10033,x10034),f779(x10032,x10033,x10034))
% 198.08/197.86 [1004]~E(x10041,x10042)+E(f779(x10043,x10041,x10044),f779(x10043,x10042,x10044))
% 198.08/197.86 [1005]~E(x10051,x10052)+E(f779(x10053,x10054,x10051),f779(x10053,x10054,x10052))
% 198.08/197.86 [1006]~E(x10061,x10062)+E(f431(x10061,x10063,x10064,x10065),f431(x10062,x10063,x10064,x10065))
% 198.08/197.86 [1007]~E(x10071,x10072)+E(f431(x10073,x10071,x10074,x10075),f431(x10073,x10072,x10074,x10075))
% 198.08/197.86 [1008]~E(x10081,x10082)+E(f431(x10083,x10084,x10081,x10085),f431(x10083,x10084,x10082,x10085))
% 198.08/197.86 [1009]~E(x10091,x10092)+E(f431(x10093,x10094,x10095,x10091),f431(x10093,x10094,x10095,x10092))
% 198.08/197.86 [1010]~E(x10101,x10102)+E(f372(x10101,x10103,x10104),f372(x10102,x10103,x10104))
% 198.08/197.86 [1011]~E(x10111,x10112)+E(f372(x10113,x10111,x10114),f372(x10113,x10112,x10114))
% 198.08/197.86 [1012]~E(x10121,x10122)+E(f372(x10123,x10124,x10121),f372(x10123,x10124,x10122))
% 198.08/197.86 [1013]~E(x10131,x10132)+E(f409(x10131,x10133,x10134),f409(x10132,x10133,x10134))
% 198.08/197.86 [1014]~E(x10141,x10142)+E(f409(x10143,x10141,x10144),f409(x10143,x10142,x10144))
% 198.08/197.86 [1015]~E(x10151,x10152)+E(f409(x10153,x10154,x10151),f409(x10153,x10154,x10152))
% 198.08/197.86 [1016]~E(x10161,x10162)+E(f59(x10161,x10163,x10164,x10165),f59(x10162,x10163,x10164,x10165))
% 198.08/197.86 [1017]~E(x10171,x10172)+E(f59(x10173,x10171,x10174,x10175),f59(x10173,x10172,x10174,x10175))
% 198.08/197.86 [1018]~E(x10181,x10182)+E(f59(x10183,x10184,x10181,x10185),f59(x10183,x10184,x10182,x10185))
% 198.08/197.86 [1019]~E(x10191,x10192)+E(f59(x10193,x10194,x10195,x10191),f59(x10193,x10194,x10195,x10192))
% 198.08/197.86 [1020]~E(x10201,x10202)+E(f87(x10201),f87(x10202))
% 198.08/197.86 [1021]~E(x10211,x10212)+E(f554(x10211,x10213,x10214),f554(x10212,x10213,x10214))
% 198.08/197.86 [1022]~E(x10221,x10222)+E(f554(x10223,x10221,x10224),f554(x10223,x10222,x10224))
% 198.08/197.86 [1023]~E(x10231,x10232)+E(f554(x10233,x10234,x10231),f554(x10233,x10234,x10232))
% 198.08/197.86 [1024]~E(x10241,x10242)+E(f30(x10241,x10243),f30(x10242,x10243))
% 198.08/197.86 [1025]~E(x10251,x10252)+E(f30(x10253,x10251),f30(x10253,x10252))
% 198.08/197.86 [1026]~E(x10261,x10262)+E(f506(x10261,x10263,x10264),f506(x10262,x10263,x10264))
% 198.08/197.86 [1027]~E(x10271,x10272)+E(f506(x10273,x10271,x10274),f506(x10273,x10272,x10274))
% 198.08/197.86 [1028]~E(x10281,x10282)+E(f506(x10283,x10284,x10281),f506(x10283,x10284,x10282))
% 198.08/197.86 [1029]~E(x10291,x10292)+E(f525(x10291,x10293,x10294,x10295),f525(x10292,x10293,x10294,x10295))
% 198.08/197.86 [1030]~E(x10301,x10302)+E(f525(x10303,x10301,x10304,x10305),f525(x10303,x10302,x10304,x10305))
% 198.08/197.86 [1031]~E(x10311,x10312)+E(f525(x10313,x10314,x10311,x10315),f525(x10313,x10314,x10312,x10315))
% 198.08/197.86 [1032]~E(x10321,x10322)+E(f525(x10323,x10324,x10325,x10321),f525(x10323,x10324,x10325,x10322))
% 198.08/197.86 [1033]~E(x10331,x10332)+E(f681(x10331,x10333,x10334,x10335),f681(x10332,x10333,x10334,x10335))
% 198.08/197.86 [1034]~E(x10341,x10342)+E(f681(x10343,x10341,x10344,x10345),f681(x10343,x10342,x10344,x10345))
% 198.08/197.86 [1035]~E(x10351,x10352)+E(f681(x10353,x10354,x10351,x10355),f681(x10353,x10354,x10352,x10355))
% 198.08/197.86 [1036]~E(x10361,x10362)+E(f681(x10363,x10364,x10365,x10361),f681(x10363,x10364,x10365,x10362))
% 198.08/197.86 [1037]~E(x10371,x10372)+E(f842(x10371,x10373,x10374,x10375),f842(x10372,x10373,x10374,x10375))
% 198.08/197.86 [1038]~E(x10381,x10382)+E(f842(x10383,x10381,x10384,x10385),f842(x10383,x10382,x10384,x10385))
% 198.08/197.86 [1039]~E(x10391,x10392)+E(f842(x10393,x10394,x10391,x10395),f842(x10393,x10394,x10392,x10395))
% 198.08/197.86 [1040]~E(x10401,x10402)+E(f842(x10403,x10404,x10405,x10401),f842(x10403,x10404,x10405,x10402))
% 198.08/197.86 [1041]~E(x10411,x10412)+E(f408(x10411,x10413,x10414),f408(x10412,x10413,x10414))
% 198.08/197.86 [1042]~E(x10421,x10422)+E(f408(x10423,x10421,x10424),f408(x10423,x10422,x10424))
% 198.08/197.86 [1043]~E(x10431,x10432)+E(f408(x10433,x10434,x10431),f408(x10433,x10434,x10432))
% 198.08/197.86 [1044]~E(x10441,x10442)+E(f268(x10441,x10443),f268(x10442,x10443))
% 198.08/197.86 [1045]~E(x10451,x10452)+E(f268(x10453,x10451),f268(x10453,x10452))
% 198.08/197.86 [1046]~E(x10461,x10462)+E(f766(x10461,x10463,x10464),f766(x10462,x10463,x10464))
% 198.08/197.86 [1047]~E(x10471,x10472)+E(f766(x10473,x10471,x10474),f766(x10473,x10472,x10474))
% 198.08/197.86 [1048]~E(x10481,x10482)+E(f766(x10483,x10484,x10481),f766(x10483,x10484,x10482))
% 198.08/197.86 [1049]~E(x10491,x10492)+E(f190(x10491,x10493,x10494,x10495),f190(x10492,x10493,x10494,x10495))
% 198.08/197.86 [1050]~E(x10501,x10502)+E(f190(x10503,x10501,x10504,x10505),f190(x10503,x10502,x10504,x10505))
% 198.08/197.86 [1051]~E(x10511,x10512)+E(f190(x10513,x10514,x10511,x10515),f190(x10513,x10514,x10512,x10515))
% 198.08/197.86 [1052]~E(x10521,x10522)+E(f190(x10523,x10524,x10525,x10521),f190(x10523,x10524,x10525,x10522))
% 198.08/197.86 [1053]~E(x10531,x10532)+E(f566(x10531,x10533,x10534,x10535,x10536,x10537,x10538,x10539),f566(x10532,x10533,x10534,x10535,x10536,x10537,x10538,x10539))
% 198.08/197.86 [1054]~E(x10541,x10542)+E(f566(x10543,x10541,x10544,x10545,x10546,x10547,x10548,x10549),f566(x10543,x10542,x10544,x10545,x10546,x10547,x10548,x10549))
% 198.08/197.86 [1055]~E(x10551,x10552)+E(f566(x10553,x10554,x10551,x10555,x10556,x10557,x10558,x10559),f566(x10553,x10554,x10552,x10555,x10556,x10557,x10558,x10559))
% 198.08/197.86 [1056]~E(x10561,x10562)+E(f566(x10563,x10564,x10565,x10561,x10566,x10567,x10568,x10569),f566(x10563,x10564,x10565,x10562,x10566,x10567,x10568,x10569))
% 198.08/197.86 [1057]~E(x10571,x10572)+E(f566(x10573,x10574,x10575,x10576,x10571,x10577,x10578,x10579),f566(x10573,x10574,x10575,x10576,x10572,x10577,x10578,x10579))
% 198.08/197.86 [1058]~E(x10581,x10582)+E(f566(x10583,x10584,x10585,x10586,x10587,x10581,x10588,x10589),f566(x10583,x10584,x10585,x10586,x10587,x10582,x10588,x10589))
% 198.08/197.86 [1059]~E(x10591,x10592)+E(f566(x10593,x10594,x10595,x10596,x10597,x10598,x10591,x10599),f566(x10593,x10594,x10595,x10596,x10597,x10598,x10592,x10599))
% 198.08/197.86 [1060]~E(x10601,x10602)+E(f566(x10603,x10604,x10605,x10606,x10607,x10608,x10609,x10601),f566(x10603,x10604,x10605,x10606,x10607,x10608,x10609,x10602))
% 198.08/197.86 [1061]~E(x10611,x10612)+E(f716(x10611,x10613,x10614),f716(x10612,x10613,x10614))
% 198.08/197.86 [1062]~E(x10621,x10622)+E(f716(x10623,x10621,x10624),f716(x10623,x10622,x10624))
% 198.08/197.86 [1063]~E(x10631,x10632)+E(f716(x10633,x10634,x10631),f716(x10633,x10634,x10632))
% 198.08/197.86 [1064]~E(x10641,x10642)+E(f543(x10641,x10643,x10644,x10645),f543(x10642,x10643,x10644,x10645))
% 198.08/197.86 [1065]~E(x10651,x10652)+E(f543(x10653,x10651,x10654,x10655),f543(x10653,x10652,x10654,x10655))
% 198.08/197.86 [1066]~E(x10661,x10662)+E(f543(x10663,x10664,x10661,x10665),f543(x10663,x10664,x10662,x10665))
% 198.08/197.86 [1067]~E(x10671,x10672)+E(f543(x10673,x10674,x10675,x10671),f543(x10673,x10674,x10675,x10672))
% 198.08/197.86 [1068]~E(x10681,x10682)+E(f493(x10681,x10683),f493(x10682,x10683))
% 198.08/197.86 [1069]~E(x10691,x10692)+E(f493(x10693,x10691),f493(x10693,x10692))
% 198.08/197.86 [1070]~E(x10701,x10702)+E(f733(x10701,x10703),f733(x10702,x10703))
% 198.08/197.86 [1071]~E(x10711,x10712)+E(f733(x10713,x10711),f733(x10713,x10712))
% 198.08/197.86 [1072]~E(x10721,x10722)+E(f814(x10721,x10723),f814(x10722,x10723))
% 198.08/197.86 [1073]~E(x10731,x10732)+E(f814(x10733,x10731),f814(x10733,x10732))
% 198.08/197.86 [1074]~E(x10741,x10742)+E(f128(x10741,x10743),f128(x10742,x10743))
% 198.08/197.86 [1075]~E(x10751,x10752)+E(f128(x10753,x10751),f128(x10753,x10752))
% 198.08/197.86 [1076]~E(x10761,x10762)+E(f668(x10761,x10763,x10764,x10765,x10766),f668(x10762,x10763,x10764,x10765,x10766))
% 198.08/197.86 [1077]~E(x10771,x10772)+E(f668(x10773,x10771,x10774,x10775,x10776),f668(x10773,x10772,x10774,x10775,x10776))
% 198.08/197.86 [1078]~E(x10781,x10782)+E(f668(x10783,x10784,x10781,x10785,x10786),f668(x10783,x10784,x10782,x10785,x10786))
% 198.08/197.86 [1079]~E(x10791,x10792)+E(f668(x10793,x10794,x10795,x10791,x10796),f668(x10793,x10794,x10795,x10792,x10796))
% 198.08/197.86 [1080]~E(x10801,x10802)+E(f668(x10803,x10804,x10805,x10806,x10801),f668(x10803,x10804,x10805,x10806,x10802))
% 198.08/197.86 [1081]~E(x10811,x10812)+E(f603(x10811,x10813,x10814,x10815,x10816,x10817),f603(x10812,x10813,x10814,x10815,x10816,x10817))
% 198.08/197.86 [1082]~E(x10821,x10822)+E(f603(x10823,x10821,x10824,x10825,x10826,x10827),f603(x10823,x10822,x10824,x10825,x10826,x10827))
% 198.08/197.86 [1083]~E(x10831,x10832)+E(f603(x10833,x10834,x10831,x10835,x10836,x10837),f603(x10833,x10834,x10832,x10835,x10836,x10837))
% 198.08/197.86 [1084]~E(x10841,x10842)+E(f603(x10843,x10844,x10845,x10841,x10846,x10847),f603(x10843,x10844,x10845,x10842,x10846,x10847))
% 198.08/197.86 [1085]~E(x10851,x10852)+E(f603(x10853,x10854,x10855,x10856,x10851,x10857),f603(x10853,x10854,x10855,x10856,x10852,x10857))
% 198.08/197.86 [1086]~E(x10861,x10862)+E(f603(x10863,x10864,x10865,x10866,x10867,x10861),f603(x10863,x10864,x10865,x10866,x10867,x10862))
% 198.08/197.86 [1087]~E(x10871,x10872)+E(f655(x10871,x10873),f655(x10872,x10873))
% 198.08/197.86 [1088]~E(x10881,x10882)+E(f655(x10883,x10881),f655(x10883,x10882))
% 198.08/197.86 [1089]~E(x10891,x10892)+E(f280(x10891),f280(x10892))
% 198.08/197.86 [1090]~E(x10901,x10902)+E(f700(x10901,x10903,x10904,x10905),f700(x10902,x10903,x10904,x10905))
% 198.08/197.86 [1091]~E(x10911,x10912)+E(f700(x10913,x10911,x10914,x10915),f700(x10913,x10912,x10914,x10915))
% 198.08/197.86 [1092]~E(x10921,x10922)+E(f700(x10923,x10924,x10921,x10925),f700(x10923,x10924,x10922,x10925))
% 198.08/197.86 [1093]~E(x10931,x10932)+E(f700(x10933,x10934,x10935,x10931),f700(x10933,x10934,x10935,x10932))
% 198.08/197.86 [1094]~E(x10941,x10942)+E(f417(x10941,x10943),f417(x10942,x10943))
% 198.08/197.86 [1095]~E(x10951,x10952)+E(f417(x10953,x10951),f417(x10953,x10952))
% 198.08/197.86 [1096]~E(x10961,x10962)+E(f631(x10961,x10963,x10964,x10965,x10966),f631(x10962,x10963,x10964,x10965,x10966))
% 198.08/197.86 [1097]~E(x10971,x10972)+E(f631(x10973,x10971,x10974,x10975,x10976),f631(x10973,x10972,x10974,x10975,x10976))
% 198.08/197.86 [1098]~E(x10981,x10982)+E(f631(x10983,x10984,x10981,x10985,x10986),f631(x10983,x10984,x10982,x10985,x10986))
% 198.08/197.86 [1099]~E(x10991,x10992)+E(f631(x10993,x10994,x10995,x10991,x10996),f631(x10993,x10994,x10995,x10992,x10996))
% 198.08/197.86 [1100]~E(x11001,x11002)+E(f631(x11003,x11004,x11005,x11006,x11001),f631(x11003,x11004,x11005,x11006,x11002))
% 198.08/197.86 [1101]~E(x11011,x11012)+E(f174(x11011,x11013,x11014),f174(x11012,x11013,x11014))
% 198.08/197.86 [1102]~E(x11021,x11022)+E(f174(x11023,x11021,x11024),f174(x11023,x11022,x11024))
% 198.08/197.86 [1103]~E(x11031,x11032)+E(f174(x11033,x11034,x11031),f174(x11033,x11034,x11032))
% 198.08/197.86 [1104]~E(x11041,x11042)+E(f742(x11041,x11043),f742(x11042,x11043))
% 198.08/197.86 [1105]~E(x11051,x11052)+E(f742(x11053,x11051),f742(x11053,x11052))
% 198.08/197.86 [1106]~E(x11061,x11062)+E(f875(x11061,x11063,x11064),f875(x11062,x11063,x11064))
% 198.08/197.86 [1107]~E(x11071,x11072)+E(f875(x11073,x11071,x11074),f875(x11073,x11072,x11074))
% 198.08/197.86 [1108]~E(x11081,x11082)+E(f875(x11083,x11084,x11081),f875(x11083,x11084,x11082))
% 198.08/197.86 [1109]~E(x11091,x11092)+E(f659(x11091,x11093),f659(x11092,x11093))
% 198.08/197.86 [1110]~E(x11101,x11102)+E(f659(x11103,x11101),f659(x11103,x11102))
% 198.08/197.86 [1111]~E(x11111,x11112)+E(f599(x11111,x11113,x11114,x11115),f599(x11112,x11113,x11114,x11115))
% 198.08/197.86 [1112]~E(x11121,x11122)+E(f599(x11123,x11121,x11124,x11125),f599(x11123,x11122,x11124,x11125))
% 198.08/197.86 [1113]~E(x11131,x11132)+E(f599(x11133,x11134,x11131,x11135),f599(x11133,x11134,x11132,x11135))
% 198.08/197.86 [1114]~E(x11141,x11142)+E(f599(x11143,x11144,x11145,x11141),f599(x11143,x11144,x11145,x11142))
% 198.08/197.86 [1115]~E(x11151,x11152)+E(f199(x11151,x11153),f199(x11152,x11153))
% 198.08/197.86 [1116]~E(x11161,x11162)+E(f199(x11163,x11161),f199(x11163,x11162))
% 198.08/197.86 [1117]~E(x11171,x11172)+E(f473(x11171,x11173,x11174,x11175),f473(x11172,x11173,x11174,x11175))
% 198.08/197.86 [1118]~E(x11181,x11182)+E(f473(x11183,x11181,x11184,x11185),f473(x11183,x11182,x11184,x11185))
% 198.08/197.86 [1119]~E(x11191,x11192)+E(f473(x11193,x11194,x11191,x11195),f473(x11193,x11194,x11192,x11195))
% 198.08/197.86 [1120]~E(x11201,x11202)+E(f473(x11203,x11204,x11205,x11201),f473(x11203,x11204,x11205,x11202))
% 198.08/197.86 [1121]~E(x11211,x11212)+E(f748(x11211,x11213,x11214,x11215,x11216),f748(x11212,x11213,x11214,x11215,x11216))
% 198.08/197.86 [1122]~E(x11221,x11222)+E(f748(x11223,x11221,x11224,x11225,x11226),f748(x11223,x11222,x11224,x11225,x11226))
% 198.08/197.86 [1123]~E(x11231,x11232)+E(f748(x11233,x11234,x11231,x11235,x11236),f748(x11233,x11234,x11232,x11235,x11236))
% 198.08/197.86 [1124]~E(x11241,x11242)+E(f748(x11243,x11244,x11245,x11241,x11246),f748(x11243,x11244,x11245,x11242,x11246))
% 198.08/197.86 [1125]~E(x11251,x11252)+E(f748(x11253,x11254,x11255,x11256,x11251),f748(x11253,x11254,x11255,x11256,x11252))
% 198.08/197.86 [1126]~E(x11261,x11262)+E(f55(x11261,x11263,x11264),f55(x11262,x11263,x11264))
% 198.08/197.86 [1127]~E(x11271,x11272)+E(f55(x11273,x11271,x11274),f55(x11273,x11272,x11274))
% 198.08/197.86 [1128]~E(x11281,x11282)+E(f55(x11283,x11284,x11281),f55(x11283,x11284,x11282))
% 198.08/197.86 [1129]~E(x11291,x11292)+E(f912(x11291,x11293,x11294,x11295,x11296),f912(x11292,x11293,x11294,x11295,x11296))
% 198.08/197.86 [1130]~E(x11301,x11302)+E(f912(x11303,x11301,x11304,x11305,x11306),f912(x11303,x11302,x11304,x11305,x11306))
% 198.08/197.86 [1131]~E(x11311,x11312)+E(f912(x11313,x11314,x11311,x11315,x11316),f912(x11313,x11314,x11312,x11315,x11316))
% 198.08/197.86 [1132]~E(x11321,x11322)+E(f912(x11323,x11324,x11325,x11321,x11326),f912(x11323,x11324,x11325,x11322,x11326))
% 198.08/197.86 [1133]~E(x11331,x11332)+E(f912(x11333,x11334,x11335,x11336,x11331),f912(x11333,x11334,x11335,x11336,x11332))
% 198.08/197.86 [1134]~E(x11341,x11342)+E(f336(x11341),f336(x11342))
% 198.08/197.86 [1135]~E(x11351,x11352)+E(f339(x11351,x11353,x11354),f339(x11352,x11353,x11354))
% 198.08/197.86 [1136]~E(x11361,x11362)+E(f339(x11363,x11361,x11364),f339(x11363,x11362,x11364))
% 198.08/197.86 [1137]~E(x11371,x11372)+E(f339(x11373,x11374,x11371),f339(x11373,x11374,x11372))
% 198.08/197.86 [1138]~E(x11381,x11382)+E(f146(x11381,x11383),f146(x11382,x11383))
% 198.08/197.86 [1139]~E(x11391,x11392)+E(f146(x11393,x11391),f146(x11393,x11392))
% 198.08/197.86 [1140]~E(x11401,x11402)+E(f433(x11401,x11403,x11404,x11405,x11406),f433(x11402,x11403,x11404,x11405,x11406))
% 198.08/197.86 [1141]~E(x11411,x11412)+E(f433(x11413,x11411,x11414,x11415,x11416),f433(x11413,x11412,x11414,x11415,x11416))
% 198.08/197.86 [1142]~E(x11421,x11422)+E(f433(x11423,x11424,x11421,x11425,x11426),f433(x11423,x11424,x11422,x11425,x11426))
% 198.08/197.86 [1143]~E(x11431,x11432)+E(f433(x11433,x11434,x11435,x11431,x11436),f433(x11433,x11434,x11435,x11432,x11436))
% 198.08/197.86 [1144]~E(x11441,x11442)+E(f433(x11443,x11444,x11445,x11446,x11441),f433(x11443,x11444,x11445,x11446,x11442))
% 198.08/197.86 [1145]~E(x11451,x11452)+E(f765(x11451,x11453,x11454,x11455),f765(x11452,x11453,x11454,x11455))
% 198.08/197.86 [1146]~E(x11461,x11462)+E(f765(x11463,x11461,x11464,x11465),f765(x11463,x11462,x11464,x11465))
% 198.08/197.86 [1147]~E(x11471,x11472)+E(f765(x11473,x11474,x11471,x11475),f765(x11473,x11474,x11472,x11475))
% 198.08/197.86 [1148]~E(x11481,x11482)+E(f765(x11483,x11484,x11485,x11481),f765(x11483,x11484,x11485,x11482))
% 198.08/197.86 [1149]~E(x11491,x11492)+E(f530(x11491,x11493),f530(x11492,x11493))
% 198.08/197.86 [1150]~E(x11501,x11502)+E(f530(x11503,x11501),f530(x11503,x11502))
% 198.08/197.86 [1151]~E(x11511,x11512)+E(f347(x11511,x11513,x11514),f347(x11512,x11513,x11514))
% 198.08/197.86 [1152]~E(x11521,x11522)+E(f347(x11523,x11521,x11524),f347(x11523,x11522,x11524))
% 198.08/197.86 [1153]~E(x11531,x11532)+E(f347(x11533,x11534,x11531),f347(x11533,x11534,x11532))
% 198.08/197.86 [1154]~E(x11541,x11542)+E(f745(x11541,x11543,x11544,x11545,x11546,x11547,x11548,x11549),f745(x11542,x11543,x11544,x11545,x11546,x11547,x11548,x11549))
% 198.08/197.86 [1155]~E(x11551,x11552)+E(f745(x11553,x11551,x11554,x11555,x11556,x11557,x11558,x11559),f745(x11553,x11552,x11554,x11555,x11556,x11557,x11558,x11559))
% 198.08/197.86 [1156]~E(x11561,x11562)+E(f745(x11563,x11564,x11561,x11565,x11566,x11567,x11568,x11569),f745(x11563,x11564,x11562,x11565,x11566,x11567,x11568,x11569))
% 198.08/197.86 [1157]~E(x11571,x11572)+E(f745(x11573,x11574,x11575,x11571,x11576,x11577,x11578,x11579),f745(x11573,x11574,x11575,x11572,x11576,x11577,x11578,x11579))
% 198.08/197.86 [1158]~E(x11581,x11582)+E(f745(x11583,x11584,x11585,x11586,x11581,x11587,x11588,x11589),f745(x11583,x11584,x11585,x11586,x11582,x11587,x11588,x11589))
% 198.08/197.86 [1159]~E(x11591,x11592)+E(f745(x11593,x11594,x11595,x11596,x11597,x11591,x11598,x11599),f745(x11593,x11594,x11595,x11596,x11597,x11592,x11598,x11599))
% 198.08/197.86 [1160]~E(x11601,x11602)+E(f745(x11603,x11604,x11605,x11606,x11607,x11608,x11601,x11609),f745(x11603,x11604,x11605,x11606,x11607,x11608,x11602,x11609))
% 198.08/197.86 [1161]~E(x11611,x11612)+E(f745(x11613,x11614,x11615,x11616,x11617,x11618,x11619,x11611),f745(x11613,x11614,x11615,x11616,x11617,x11618,x11619,x11612))
% 198.08/197.86 [1162]~E(x11621,x11622)+E(f639(x11621,x11623,x11624,x11625,x11626),f639(x11622,x11623,x11624,x11625,x11626))
% 198.08/197.86 [1163]~E(x11631,x11632)+E(f639(x11633,x11631,x11634,x11635,x11636),f639(x11633,x11632,x11634,x11635,x11636))
% 198.08/197.86 [1164]~E(x11641,x11642)+E(f639(x11643,x11644,x11641,x11645,x11646),f639(x11643,x11644,x11642,x11645,x11646))
% 198.08/197.86 [1165]~E(x11651,x11652)+E(f639(x11653,x11654,x11655,x11651,x11656),f639(x11653,x11654,x11655,x11652,x11656))
% 198.08/197.86 [1166]~E(x11661,x11662)+E(f639(x11663,x11664,x11665,x11666,x11661),f639(x11663,x11664,x11665,x11666,x11662))
% 198.08/197.86 [1167]~E(x11671,x11672)+E(f149(x11671,x11673,x11674,x11675,x11676),f149(x11672,x11673,x11674,x11675,x11676))
% 198.08/197.86 [1168]~E(x11681,x11682)+E(f149(x11683,x11681,x11684,x11685,x11686),f149(x11683,x11682,x11684,x11685,x11686))
% 198.08/197.86 [1169]~E(x11691,x11692)+E(f149(x11693,x11694,x11691,x11695,x11696),f149(x11693,x11694,x11692,x11695,x11696))
% 198.08/197.86 [1170]~E(x11701,x11702)+E(f149(x11703,x11704,x11705,x11701,x11706),f149(x11703,x11704,x11705,x11702,x11706))
% 198.08/197.86 [1171]~E(x11711,x11712)+E(f149(x11713,x11714,x11715,x11716,x11711),f149(x11713,x11714,x11715,x11716,x11712))
% 198.08/197.86 [1172]~E(x11721,x11722)+E(f244(x11721,x11723,x11724),f244(x11722,x11723,x11724))
% 198.08/197.86 [1173]~E(x11731,x11732)+E(f244(x11733,x11731,x11734),f244(x11733,x11732,x11734))
% 198.08/197.86 [1174]~E(x11741,x11742)+E(f244(x11743,x11744,x11741),f244(x11743,x11744,x11742))
% 198.08/197.86 [1175]~E(x11751,x11752)+E(f205(x11751,x11753,x11754,x11755),f205(x11752,x11753,x11754,x11755))
% 198.08/197.86 [1176]~E(x11761,x11762)+E(f205(x11763,x11761,x11764,x11765),f205(x11763,x11762,x11764,x11765))
% 198.08/197.86 [1177]~E(x11771,x11772)+E(f205(x11773,x11774,x11771,x11775),f205(x11773,x11774,x11772,x11775))
% 198.08/197.86 [1178]~E(x11781,x11782)+E(f205(x11783,x11784,x11785,x11781),f205(x11783,x11784,x11785,x11782))
% 198.08/197.86 [1179]~E(x11791,x11792)+E(f248(x11791,x11793,x11794),f248(x11792,x11793,x11794))
% 198.08/197.86 [1180]~E(x11801,x11802)+E(f248(x11803,x11801,x11804),f248(x11803,x11802,x11804))
% 198.08/197.86 [1181]~E(x11811,x11812)+E(f248(x11813,x11814,x11811),f248(x11813,x11814,x11812))
% 198.08/197.86 [1182]~E(x11821,x11822)+E(f354(x11821,x11823,x11824),f354(x11822,x11823,x11824))
% 198.08/197.86 [1183]~E(x11831,x11832)+E(f354(x11833,x11831,x11834),f354(x11833,x11832,x11834))
% 198.08/197.86 [1184]~E(x11841,x11842)+E(f354(x11843,x11844,x11841),f354(x11843,x11844,x11842))
% 198.08/197.86 [1185]~E(x11851,x11852)+E(f747(x11851,x11853,x11854,x11855),f747(x11852,x11853,x11854,x11855))
% 198.08/197.86 [1186]~E(x11861,x11862)+E(f747(x11863,x11861,x11864,x11865),f747(x11863,x11862,x11864,x11865))
% 198.08/197.86 [1187]~E(x11871,x11872)+E(f747(x11873,x11874,x11871,x11875),f747(x11873,x11874,x11872,x11875))
% 198.08/197.86 [1188]~E(x11881,x11882)+E(f747(x11883,x11884,x11885,x11881),f747(x11883,x11884,x11885,x11882))
% 198.08/197.86 [1189]~E(x11891,x11892)+E(f403(x11891,x11893,x11894),f403(x11892,x11893,x11894))
% 198.08/197.86 [1190]~E(x11901,x11902)+E(f403(x11903,x11901,x11904),f403(x11903,x11902,x11904))
% 198.08/197.86 [1191]~E(x11911,x11912)+E(f403(x11913,x11914,x11911),f403(x11913,x11914,x11912))
% 198.08/197.86 [1192]~E(x11921,x11922)+E(f706(x11921,x11923,x11924,x11925,x11926),f706(x11922,x11923,x11924,x11925,x11926))
% 198.08/197.86 [1193]~E(x11931,x11932)+E(f706(x11933,x11931,x11934,x11935,x11936),f706(x11933,x11932,x11934,x11935,x11936))
% 198.08/197.86 [1194]~E(x11941,x11942)+E(f706(x11943,x11944,x11941,x11945,x11946),f706(x11943,x11944,x11942,x11945,x11946))
% 198.08/197.86 [1195]~E(x11951,x11952)+E(f706(x11953,x11954,x11955,x11951,x11956),f706(x11953,x11954,x11955,x11952,x11956))
% 198.08/197.86 [1196]~E(x11961,x11962)+E(f706(x11963,x11964,x11965,x11966,x11961),f706(x11963,x11964,x11965,x11966,x11962))
% 198.08/197.86 [1197]~E(x11971,x11972)+E(f386(x11971,x11973,x11974),f386(x11972,x11973,x11974))
% 198.08/197.86 [1198]~E(x11981,x11982)+E(f386(x11983,x11981,x11984),f386(x11983,x11982,x11984))
% 198.08/197.86 [1199]~E(x11991,x11992)+E(f386(x11993,x11994,x11991),f386(x11993,x11994,x11992))
% 198.08/197.86 [1200]~E(x12001,x12002)+E(f886(x12001,x12003,x12004,x12005),f886(x12002,x12003,x12004,x12005))
% 198.08/197.86 [1201]~E(x12011,x12012)+E(f886(x12013,x12011,x12014,x12015),f886(x12013,x12012,x12014,x12015))
% 198.08/197.86 [1202]~E(x12021,x12022)+E(f886(x12023,x12024,x12021,x12025),f886(x12023,x12024,x12022,x12025))
% 198.08/197.86 [1203]~E(x12031,x12032)+E(f886(x12033,x12034,x12035,x12031),f886(x12033,x12034,x12035,x12032))
% 198.08/197.86 [1204]~E(x12041,x12042)+E(f334(x12041),f334(x12042))
% 198.08/197.86 [1205]~E(x12051,x12052)+E(f883(x12051,x12053,x12054),f883(x12052,x12053,x12054))
% 198.08/197.86 [1206]~E(x12061,x12062)+E(f883(x12063,x12061,x12064),f883(x12063,x12062,x12064))
% 198.08/197.86 [1207]~E(x12071,x12072)+E(f883(x12073,x12074,x12071),f883(x12073,x12074,x12072))
% 198.08/197.86 [1208]~E(x12081,x12082)+E(f197(x12081,x12083,x12084,x12085),f197(x12082,x12083,x12084,x12085))
% 198.08/197.86 [1209]~E(x12091,x12092)+E(f197(x12093,x12091,x12094,x12095),f197(x12093,x12092,x12094,x12095))
% 198.08/197.86 [1210]~E(x12101,x12102)+E(f197(x12103,x12104,x12101,x12105),f197(x12103,x12104,x12102,x12105))
% 198.08/197.86 [1211]~E(x12111,x12112)+E(f197(x12113,x12114,x12115,x12111),f197(x12113,x12114,x12115,x12112))
% 198.08/197.86 [1212]~E(x12121,x12122)+E(f854(x12121,x12123,x12124,x12125,x12126,x12127,x12128,x12129),f854(x12122,x12123,x12124,x12125,x12126,x12127,x12128,x12129))
% 198.08/197.86 [1213]~E(x12131,x12132)+E(f854(x12133,x12131,x12134,x12135,x12136,x12137,x12138,x12139),f854(x12133,x12132,x12134,x12135,x12136,x12137,x12138,x12139))
% 198.08/197.86 [1214]~E(x12141,x12142)+E(f854(x12143,x12144,x12141,x12145,x12146,x12147,x12148,x12149),f854(x12143,x12144,x12142,x12145,x12146,x12147,x12148,x12149))
% 198.08/197.86 [1215]~E(x12151,x12152)+E(f854(x12153,x12154,x12155,x12151,x12156,x12157,x12158,x12159),f854(x12153,x12154,x12155,x12152,x12156,x12157,x12158,x12159))
% 198.08/197.86 [1216]~E(x12161,x12162)+E(f854(x12163,x12164,x12165,x12166,x12161,x12167,x12168,x12169),f854(x12163,x12164,x12165,x12166,x12162,x12167,x12168,x12169))
% 198.08/197.86 [1217]~E(x12171,x12172)+E(f854(x12173,x12174,x12175,x12176,x12177,x12171,x12178,x12179),f854(x12173,x12174,x12175,x12176,x12177,x12172,x12178,x12179))
% 198.08/197.86 [1218]~E(x12181,x12182)+E(f854(x12183,x12184,x12185,x12186,x12187,x12188,x12181,x12189),f854(x12183,x12184,x12185,x12186,x12187,x12188,x12182,x12189))
% 198.08/197.86 [1219]~E(x12191,x12192)+E(f854(x12193,x12194,x12195,x12196,x12197,x12198,x12199,x12191),f854(x12193,x12194,x12195,x12196,x12197,x12198,x12199,x12192))
% 198.08/197.86 [1220]~E(x12201,x12202)+E(f864(x12201,x12203,x12204),f864(x12202,x12203,x12204))
% 198.08/197.86 [1221]~E(x12211,x12212)+E(f864(x12213,x12211,x12214),f864(x12213,x12212,x12214))
% 198.08/197.86 [1222]~E(x12221,x12222)+E(f864(x12223,x12224,x12221),f864(x12223,x12224,x12222))
% 198.08/197.86 [1223]~E(x12231,x12232)+E(f126(x12231,x12233,x12234),f126(x12232,x12233,x12234))
% 198.08/197.86 [1224]~E(x12241,x12242)+E(f126(x12243,x12241,x12244),f126(x12243,x12242,x12244))
% 198.08/197.86 [1225]~E(x12251,x12252)+E(f126(x12253,x12254,x12251),f126(x12253,x12254,x12252))
% 198.08/197.86 [1226]~E(x12261,x12262)+E(f609(x12261,x12263,x12264),f609(x12262,x12263,x12264))
% 198.08/197.86 [1227]~E(x12271,x12272)+E(f609(x12273,x12271,x12274),f609(x12273,x12272,x12274))
% 198.08/197.86 [1228]~E(x12281,x12282)+E(f609(x12283,x12284,x12281),f609(x12283,x12284,x12282))
% 198.08/197.86 [1229]~E(x12291,x12292)+E(f227(x12291,x12293),f227(x12292,x12293))
% 198.08/197.86 [1230]~E(x12301,x12302)+E(f227(x12303,x12301),f227(x12303,x12302))
% 198.08/197.86 [1231]~E(x12311,x12312)+E(f444(x12311,x12313,x12314),f444(x12312,x12313,x12314))
% 198.08/197.86 [1232]~E(x12321,x12322)+E(f444(x12323,x12321,x12324),f444(x12323,x12322,x12324))
% 198.08/197.86 [1233]~E(x12331,x12332)+E(f444(x12333,x12334,x12331),f444(x12333,x12334,x12332))
% 198.08/197.86 [1234]~E(x12341,x12342)+E(f118(x12341,x12343,x12344),f118(x12342,x12343,x12344))
% 198.08/197.86 [1235]~E(x12351,x12352)+E(f118(x12353,x12351,x12354),f118(x12353,x12352,x12354))
% 198.08/197.86 [1236]~E(x12361,x12362)+E(f118(x12363,x12364,x12361),f118(x12363,x12364,x12362))
% 198.08/197.86 [1237]~E(x12371,x12372)+E(f478(x12371,x12373,x12374,x12375,x12376),f478(x12372,x12373,x12374,x12375,x12376))
% 198.08/197.86 [1238]~E(x12381,x12382)+E(f478(x12383,x12381,x12384,x12385,x12386),f478(x12383,x12382,x12384,x12385,x12386))
% 198.08/197.86 [1239]~E(x12391,x12392)+E(f478(x12393,x12394,x12391,x12395,x12396),f478(x12393,x12394,x12392,x12395,x12396))
% 198.08/197.86 [1240]~E(x12401,x12402)+E(f478(x12403,x12404,x12405,x12401,x12406),f478(x12403,x12404,x12405,x12402,x12406))
% 198.08/197.86 [1241]~E(x12411,x12412)+E(f478(x12413,x12414,x12415,x12416,x12411),f478(x12413,x12414,x12415,x12416,x12412))
% 198.08/197.86 [1242]~E(x12421,x12422)+E(f801(x12421,x12423,x12424,x12425,x12426,x12427,x12428),f801(x12422,x12423,x12424,x12425,x12426,x12427,x12428))
% 198.08/197.86 [1243]~E(x12431,x12432)+E(f801(x12433,x12431,x12434,x12435,x12436,x12437,x12438),f801(x12433,x12432,x12434,x12435,x12436,x12437,x12438))
% 198.08/197.86 [1244]~E(x12441,x12442)+E(f801(x12443,x12444,x12441,x12445,x12446,x12447,x12448),f801(x12443,x12444,x12442,x12445,x12446,x12447,x12448))
% 198.08/197.86 [1245]~E(x12451,x12452)+E(f801(x12453,x12454,x12455,x12451,x12456,x12457,x12458),f801(x12453,x12454,x12455,x12452,x12456,x12457,x12458))
% 198.08/197.86 [1246]~E(x12461,x12462)+E(f801(x12463,x12464,x12465,x12466,x12461,x12467,x12468),f801(x12463,x12464,x12465,x12466,x12462,x12467,x12468))
% 198.08/197.86 [1247]~E(x12471,x12472)+E(f801(x12473,x12474,x12475,x12476,x12477,x12471,x12478),f801(x12473,x12474,x12475,x12476,x12477,x12472,x12478))
% 198.08/197.86 [1248]~E(x12481,x12482)+E(f801(x12483,x12484,x12485,x12486,x12487,x12488,x12481),f801(x12483,x12484,x12485,x12486,x12487,x12488,x12482))
% 198.08/197.86 [1249]~E(x12491,x12492)+E(f484(x12491,x12493,x12494,x12495,x12496),f484(x12492,x12493,x12494,x12495,x12496))
% 198.08/197.86 [1250]~E(x12501,x12502)+E(f484(x12503,x12501,x12504,x12505,x12506),f484(x12503,x12502,x12504,x12505,x12506))
% 198.08/197.86 [1251]~E(x12511,x12512)+E(f484(x12513,x12514,x12511,x12515,x12516),f484(x12513,x12514,x12512,x12515,x12516))
% 198.08/197.86 [1252]~E(x12521,x12522)+E(f484(x12523,x12524,x12525,x12521,x12526),f484(x12523,x12524,x12525,x12522,x12526))
% 198.08/197.86 [1253]~E(x12531,x12532)+E(f484(x12533,x12534,x12535,x12536,x12531),f484(x12533,x12534,x12535,x12536,x12532))
% 198.08/197.86 [1254]~E(x12541,x12542)+E(f422(x12541,x12543,x12544,x12545),f422(x12542,x12543,x12544,x12545))
% 198.08/197.86 [1255]~E(x12551,x12552)+E(f422(x12553,x12551,x12554,x12555),f422(x12553,x12552,x12554,x12555))
% 198.08/197.86 [1256]~E(x12561,x12562)+E(f422(x12563,x12564,x12561,x12565),f422(x12563,x12564,x12562,x12565))
% 198.08/197.86 [1257]~E(x12571,x12572)+E(f422(x12573,x12574,x12575,x12571),f422(x12573,x12574,x12575,x12572))
% 198.08/197.86 [1258]~E(x12581,x12582)+E(f424(x12581,x12583),f424(x12582,x12583))
% 198.08/197.86 [1259]~E(x12591,x12592)+E(f424(x12593,x12591),f424(x12593,x12592))
% 198.08/197.86 [1260]~E(x12601,x12602)+E(f499(x12601,x12603,x12604,x12605,x12606),f499(x12602,x12603,x12604,x12605,x12606))
% 198.08/197.86 [1261]~E(x12611,x12612)+E(f499(x12613,x12611,x12614,x12615,x12616),f499(x12613,x12612,x12614,x12615,x12616))
% 198.08/197.86 [1262]~E(x12621,x12622)+E(f499(x12623,x12624,x12621,x12625,x12626),f499(x12623,x12624,x12622,x12625,x12626))
% 198.08/197.86 [1263]~E(x12631,x12632)+E(f499(x12633,x12634,x12635,x12631,x12636),f499(x12633,x12634,x12635,x12632,x12636))
% 198.08/197.86 [1264]~E(x12641,x12642)+E(f499(x12643,x12644,x12645,x12646,x12641),f499(x12643,x12644,x12645,x12646,x12642))
% 198.08/197.86 [1265]~E(x12651,x12652)+E(f26(x12651,x12653,x12654),f26(x12652,x12653,x12654))
% 198.08/197.86 [1266]~E(x12661,x12662)+E(f26(x12663,x12661,x12664),f26(x12663,x12662,x12664))
% 198.08/197.86 [1267]~E(x12671,x12672)+E(f26(x12673,x12674,x12671),f26(x12673,x12674,x12672))
% 198.08/197.86 [1268]~E(x12681,x12682)+E(f611(x12681,x12683),f611(x12682,x12683))
% 198.08/197.86 [1269]~E(x12691,x12692)+E(f611(x12693,x12691),f611(x12693,x12692))
% 198.08/197.86 [1270]~E(x12701,x12702)+E(f640(x12701,x12703,x12704,x12705,x12706),f640(x12702,x12703,x12704,x12705,x12706))
% 198.08/197.86 [1271]~E(x12711,x12712)+E(f640(x12713,x12711,x12714,x12715,x12716),f640(x12713,x12712,x12714,x12715,x12716))
% 198.08/197.86 [1272]~E(x12721,x12722)+E(f640(x12723,x12724,x12721,x12725,x12726),f640(x12723,x12724,x12722,x12725,x12726))
% 198.08/197.86 [1273]~E(x12731,x12732)+E(f640(x12733,x12734,x12735,x12731,x12736),f640(x12733,x12734,x12735,x12732,x12736))
% 198.08/197.86 [1274]~E(x12741,x12742)+E(f640(x12743,x12744,x12745,x12746,x12741),f640(x12743,x12744,x12745,x12746,x12742))
% 198.08/197.86 [1275]~E(x12751,x12752)+E(f650(x12751,x12753,x12754,x12755,x12756),f650(x12752,x12753,x12754,x12755,x12756))
% 198.08/197.86 [1276]~E(x12761,x12762)+E(f650(x12763,x12761,x12764,x12765,x12766),f650(x12763,x12762,x12764,x12765,x12766))
% 198.08/197.86 [1277]~E(x12771,x12772)+E(f650(x12773,x12774,x12771,x12775,x12776),f650(x12773,x12774,x12772,x12775,x12776))
% 198.08/197.86 [1278]~E(x12781,x12782)+E(f650(x12783,x12784,x12785,x12781,x12786),f650(x12783,x12784,x12785,x12782,x12786))
% 198.08/197.86 [1279]~E(x12791,x12792)+E(f650(x12793,x12794,x12795,x12796,x12791),f650(x12793,x12794,x12795,x12796,x12792))
% 198.08/197.86 [1280]~E(x12801,x12802)+E(f173(x12801,x12803,x12804),f173(x12802,x12803,x12804))
% 198.08/197.86 [1281]~E(x12811,x12812)+E(f173(x12813,x12811,x12814),f173(x12813,x12812,x12814))
% 198.08/197.86 [1282]~E(x12821,x12822)+E(f173(x12823,x12824,x12821),f173(x12823,x12824,x12822))
% 198.08/197.86 [1283]~E(x12831,x12832)+E(f780(x12831,x12833,x12834,x12835,x12836),f780(x12832,x12833,x12834,x12835,x12836))
% 198.08/197.86 [1284]~E(x12841,x12842)+E(f780(x12843,x12841,x12844,x12845,x12846),f780(x12843,x12842,x12844,x12845,x12846))
% 198.08/197.86 [1285]~E(x12851,x12852)+E(f780(x12853,x12854,x12851,x12855,x12856),f780(x12853,x12854,x12852,x12855,x12856))
% 198.08/197.86 [1286]~E(x12861,x12862)+E(f780(x12863,x12864,x12865,x12861,x12866),f780(x12863,x12864,x12865,x12862,x12866))
% 198.08/197.86 [1287]~E(x12871,x12872)+E(f780(x12873,x12874,x12875,x12876,x12871),f780(x12873,x12874,x12875,x12876,x12872))
% 198.08/197.86 [1288]~E(x12881,x12882)+E(f564(x12881,x12883,x12884,x12885),f564(x12882,x12883,x12884,x12885))
% 198.08/197.86 [1289]~E(x12891,x12892)+E(f564(x12893,x12891,x12894,x12895),f564(x12893,x12892,x12894,x12895))
% 198.08/197.86 [1290]~E(x12901,x12902)+E(f564(x12903,x12904,x12901,x12905),f564(x12903,x12904,x12902,x12905))
% 198.08/197.86 [1291]~E(x12911,x12912)+E(f564(x12913,x12914,x12915,x12911),f564(x12913,x12914,x12915,x12912))
% 198.08/197.86 [1292]~E(x12921,x12922)+E(f905(x12921,x12923,x12924),f905(x12922,x12923,x12924))
% 198.08/197.86 [1293]~E(x12931,x12932)+E(f905(x12933,x12931,x12934),f905(x12933,x12932,x12934))
% 198.08/197.86 [1294]~E(x12941,x12942)+E(f905(x12943,x12944,x12941),f905(x12943,x12944,x12942))
% 198.08/197.86 [1295]~E(x12951,x12952)+E(f116(x12951,x12953,x12954),f116(x12952,x12953,x12954))
% 198.08/197.86 [1296]~E(x12961,x12962)+E(f116(x12963,x12961,x12964),f116(x12963,x12962,x12964))
% 198.08/197.86 [1297]~E(x12971,x12972)+E(f116(x12973,x12974,x12971),f116(x12973,x12974,x12972))
% 198.08/197.86 [1298]~E(x12981,x12982)+E(f279(x12981,x12983,x12984,x12985),f279(x12982,x12983,x12984,x12985))
% 198.08/197.86 [1299]~E(x12991,x12992)+E(f279(x12993,x12991,x12994,x12995),f279(x12993,x12992,x12994,x12995))
% 198.08/197.86 [1300]~E(x13001,x13002)+E(f279(x13003,x13004,x13001,x13005),f279(x13003,x13004,x13002,x13005))
% 198.08/197.86 [1301]~E(x13011,x13012)+E(f279(x13013,x13014,x13015,x13011),f279(x13013,x13014,x13015,x13012))
% 198.08/197.86 [1302]~E(x13021,x13022)+E(f793(x13021,x13023,x13024,x13025),f793(x13022,x13023,x13024,x13025))
% 198.08/197.86 [1303]~E(x13031,x13032)+E(f793(x13033,x13031,x13034,x13035),f793(x13033,x13032,x13034,x13035))
% 198.08/197.86 [1304]~E(x13041,x13042)+E(f793(x13043,x13044,x13041,x13045),f793(x13043,x13044,x13042,x13045))
% 198.08/197.86 [1305]~E(x13051,x13052)+E(f793(x13053,x13054,x13055,x13051),f793(x13053,x13054,x13055,x13052))
% 198.08/197.86 [1306]~E(x13061,x13062)+E(f209(x13061,x13063,x13064,x13065),f209(x13062,x13063,x13064,x13065))
% 198.08/197.86 [1307]~E(x13071,x13072)+E(f209(x13073,x13071,x13074,x13075),f209(x13073,x13072,x13074,x13075))
% 198.08/197.86 [1308]~E(x13081,x13082)+E(f209(x13083,x13084,x13081,x13085),f209(x13083,x13084,x13082,x13085))
% 198.08/197.86 [1309]~E(x13091,x13092)+E(f209(x13093,x13094,x13095,x13091),f209(x13093,x13094,x13095,x13092))
% 198.08/197.86 [1310]~E(x13101,x13102)+E(f383(x13101,x13103,x13104,x13105),f383(x13102,x13103,x13104,x13105))
% 198.08/197.86 [1311]~E(x13111,x13112)+E(f383(x13113,x13111,x13114,x13115),f383(x13113,x13112,x13114,x13115))
% 198.08/197.86 [1312]~E(x13121,x13122)+E(f383(x13123,x13124,x13121,x13125),f383(x13123,x13124,x13122,x13125))
% 198.08/197.86 [1313]~E(x13131,x13132)+E(f383(x13133,x13134,x13135,x13131),f383(x13133,x13134,x13135,x13132))
% 198.08/197.86 [1314]~E(x13141,x13142)+E(f807(x13141,x13143,x13144),f807(x13142,x13143,x13144))
% 198.08/197.86 [1315]~E(x13151,x13152)+E(f807(x13153,x13151,x13154),f807(x13153,x13152,x13154))
% 198.08/197.86 [1316]~E(x13161,x13162)+E(f807(x13163,x13164,x13161),f807(x13163,x13164,x13162))
% 198.08/197.86 [1317]~E(x13171,x13172)+E(f508(x13171),f508(x13172))
% 198.08/197.86 [1318]~E(x13181,x13182)+E(f818(x13181),f818(x13182))
% 198.08/197.86 [1319]~E(x13191,x13192)+E(f366(x13191,x13193,x13194),f366(x13192,x13193,x13194))
% 198.08/197.86 [1320]~E(x13201,x13202)+E(f366(x13203,x13201,x13204),f366(x13203,x13202,x13204))
% 198.08/197.86 [1321]~E(x13211,x13212)+E(f366(x13213,x13214,x13211),f366(x13213,x13214,x13212))
% 198.08/197.86 [1322]~E(x13221,x13222)+E(f720(x13221,x13223),f720(x13222,x13223))
% 198.08/197.86 [1323]~E(x13231,x13232)+E(f720(x13233,x13231),f720(x13233,x13232))
% 198.08/197.86 [1324]~E(x13241,x13242)+E(f534(x13241,x13243,x13244),f534(x13242,x13243,x13244))
% 198.08/197.86 [1325]~E(x13251,x13252)+E(f534(x13253,x13251,x13254),f534(x13253,x13252,x13254))
% 198.08/197.86 [1326]~E(x13261,x13262)+E(f534(x13263,x13264,x13261),f534(x13263,x13264,x13262))
% 198.08/197.86 [1327]~E(x13271,x13272)+E(f416(x13271,x13273,x13274),f416(x13272,x13273,x13274))
% 198.08/197.86 [1328]~E(x13281,x13282)+E(f416(x13283,x13281,x13284),f416(x13283,x13282,x13284))
% 198.08/197.86 [1329]~E(x13291,x13292)+E(f416(x13293,x13294,x13291),f416(x13293,x13294,x13292))
% 198.08/197.86 [1330]~E(x13301,x13302)+E(f340(x13301,x13303,x13304),f340(x13302,x13303,x13304))
% 198.08/197.86 [1331]~E(x13311,x13312)+E(f340(x13313,x13311,x13314),f340(x13313,x13312,x13314))
% 198.08/197.86 [1332]~E(x13321,x13322)+E(f340(x13323,x13324,x13321),f340(x13323,x13324,x13322))
% 198.08/197.86 [1333]~E(x13331,x13332)+E(f388(x13331,x13333,x13334),f388(x13332,x13333,x13334))
% 198.08/197.86 [1334]~E(x13341,x13342)+E(f388(x13343,x13341,x13344),f388(x13343,x13342,x13344))
% 198.08/197.86 [1335]~E(x13351,x13352)+E(f388(x13353,x13354,x13351),f388(x13353,x13354,x13352))
% 198.08/197.86 [1336]~E(x13361,x13362)+E(f762(x13361,x13363),f762(x13362,x13363))
% 198.08/197.86 [1337]~E(x13371,x13372)+E(f762(x13373,x13371),f762(x13373,x13372))
% 198.08/197.86 [1338]~E(x13381,x13382)+E(f454(x13381,x13383,x13384),f454(x13382,x13383,x13384))
% 198.08/197.86 [1339]~E(x13391,x13392)+E(f454(x13393,x13391,x13394),f454(x13393,x13392,x13394))
% 198.08/197.86 [1340]~E(x13401,x13402)+E(f454(x13403,x13404,x13401),f454(x13403,x13404,x13402))
% 198.08/197.86 [1341]~E(x13411,x13412)+E(f497(x13411,x13413,x13414,x13415),f497(x13412,x13413,x13414,x13415))
% 198.08/197.86 [1342]~E(x13421,x13422)+E(f497(x13423,x13421,x13424,x13425),f497(x13423,x13422,x13424,x13425))
% 198.08/197.86 [1343]~E(x13431,x13432)+E(f497(x13433,x13434,x13431,x13435),f497(x13433,x13434,x13432,x13435))
% 198.08/197.86 [1344]~E(x13441,x13442)+E(f497(x13443,x13444,x13445,x13441),f497(x13443,x13444,x13445,x13442))
% 198.08/197.86 [1345]~E(x13451,x13452)+E(f597(x13451,x13453,x13454),f597(x13452,x13453,x13454))
% 198.08/197.86 [1346]~E(x13461,x13462)+E(f597(x13463,x13461,x13464),f597(x13463,x13462,x13464))
% 198.08/197.86 [1347]~E(x13471,x13472)+E(f597(x13473,x13474,x13471),f597(x13473,x13474,x13472))
% 198.08/197.86 [1348]~E(x13481,x13482)+E(f513(x13481,x13483,x13484),f513(x13482,x13483,x13484))
% 198.08/197.86 [1349]~E(x13491,x13492)+E(f513(x13493,x13491,x13494),f513(x13493,x13492,x13494))
% 198.08/197.86 [1350]~E(x13501,x13502)+E(f513(x13503,x13504,x13501),f513(x13503,x13504,x13502))
% 198.08/197.86 [1351]~E(x13511,x13512)+E(f488(x13511,x13513),f488(x13512,x13513))
% 198.08/197.86 [1352]~E(x13521,x13522)+E(f488(x13523,x13521),f488(x13523,x13522))
% 198.08/197.86 [1353]~E(x13531,x13532)+E(f913(x13531,x13533,x13534,x13535,x13536,x13537,x13538),f913(x13532,x13533,x13534,x13535,x13536,x13537,x13538))
% 198.08/197.86 [1354]~E(x13541,x13542)+E(f913(x13543,x13541,x13544,x13545,x13546,x13547,x13548),f913(x13543,x13542,x13544,x13545,x13546,x13547,x13548))
% 198.08/197.86 [1355]~E(x13551,x13552)+E(f913(x13553,x13554,x13551,x13555,x13556,x13557,x13558),f913(x13553,x13554,x13552,x13555,x13556,x13557,x13558))
% 198.08/197.86 [1356]~E(x13561,x13562)+E(f913(x13563,x13564,x13565,x13561,x13566,x13567,x13568),f913(x13563,x13564,x13565,x13562,x13566,x13567,x13568))
% 198.08/197.86 [1357]~E(x13571,x13572)+E(f913(x13573,x13574,x13575,x13576,x13571,x13577,x13578),f913(x13573,x13574,x13575,x13576,x13572,x13577,x13578))
% 198.08/197.86 [1358]~E(x13581,x13582)+E(f913(x13583,x13584,x13585,x13586,x13587,x13581,x13588),f913(x13583,x13584,x13585,x13586,x13587,x13582,x13588))
% 198.08/197.86 [1359]~E(x13591,x13592)+E(f913(x13593,x13594,x13595,x13596,x13597,x13598,x13591),f913(x13593,x13594,x13595,x13596,x13597,x13598,x13592))
% 198.08/197.86 [1360]~E(x13601,x13602)+E(f546(x13601,x13603,x13604,x13605,x13606),f546(x13602,x13603,x13604,x13605,x13606))
% 198.08/197.86 [1361]~E(x13611,x13612)+E(f546(x13613,x13611,x13614,x13615,x13616),f546(x13613,x13612,x13614,x13615,x13616))
% 198.08/197.86 [1362]~E(x13621,x13622)+E(f546(x13623,x13624,x13621,x13625,x13626),f546(x13623,x13624,x13622,x13625,x13626))
% 198.08/197.86 [1363]~E(x13631,x13632)+E(f546(x13633,x13634,x13635,x13631,x13636),f546(x13633,x13634,x13635,x13632,x13636))
% 198.08/197.86 [1364]~E(x13641,x13642)+E(f546(x13643,x13644,x13645,x13646,x13641),f546(x13643,x13644,x13645,x13646,x13642))
% 198.08/197.86 [1365]~E(x13651,x13652)+E(f893(x13651,x13653,x13654,x13655,x13656),f893(x13652,x13653,x13654,x13655,x13656))
% 198.08/197.86 [1366]~E(x13661,x13662)+E(f893(x13663,x13661,x13664,x13665,x13666),f893(x13663,x13662,x13664,x13665,x13666))
% 198.08/197.86 [1367]~E(x13671,x13672)+E(f893(x13673,x13674,x13671,x13675,x13676),f893(x13673,x13674,x13672,x13675,x13676))
% 198.08/197.86 [1368]~E(x13681,x13682)+E(f893(x13683,x13684,x13685,x13681,x13686),f893(x13683,x13684,x13685,x13682,x13686))
% 198.08/197.86 [1369]~E(x13691,x13692)+E(f893(x13693,x13694,x13695,x13696,x13691),f893(x13693,x13694,x13695,x13696,x13692))
% 198.08/197.86 [1370]~E(x13701,x13702)+E(f773(x13701,x13703,x13704),f773(x13702,x13703,x13704))
% 198.08/197.86 [1371]~E(x13711,x13712)+E(f773(x13713,x13711,x13714),f773(x13713,x13712,x13714))
% 198.08/197.86 [1372]~E(x13721,x13722)+E(f773(x13723,x13724,x13721),f773(x13723,x13724,x13722))
% 198.08/197.86 [1373]~E(x13731,x13732)+E(f727(x13731,x13733,x13734),f727(x13732,x13733,x13734))
% 198.08/197.86 [1374]~E(x13741,x13742)+E(f727(x13743,x13741,x13744),f727(x13743,x13742,x13744))
% 198.08/197.86 [1375]~E(x13751,x13752)+E(f727(x13753,x13754,x13751),f727(x13753,x13754,x13752))
% 198.08/197.86 [1376]~E(x13761,x13762)+E(f423(x13761,x13763,x13764,x13765,x13766),f423(x13762,x13763,x13764,x13765,x13766))
% 198.08/197.86 [1377]~E(x13771,x13772)+E(f423(x13773,x13771,x13774,x13775,x13776),f423(x13773,x13772,x13774,x13775,x13776))
% 198.08/197.86 [1378]~E(x13781,x13782)+E(f423(x13783,x13784,x13781,x13785,x13786),f423(x13783,x13784,x13782,x13785,x13786))
% 198.08/197.86 [1379]~E(x13791,x13792)+E(f423(x13793,x13794,x13795,x13791,x13796),f423(x13793,x13794,x13795,x13792,x13796))
% 198.08/197.86 [1380]~E(x13801,x13802)+E(f423(x13803,x13804,x13805,x13806,x13801),f423(x13803,x13804,x13805,x13806,x13802))
% 198.08/197.86 [1381]~E(x13811,x13812)+E(f551(x13811,x13813,x13814,x13815,x13816),f551(x13812,x13813,x13814,x13815,x13816))
% 198.08/197.86 [1382]~E(x13821,x13822)+E(f551(x13823,x13821,x13824,x13825,x13826),f551(x13823,x13822,x13824,x13825,x13826))
% 198.08/197.86 [1383]~E(x13831,x13832)+E(f551(x13833,x13834,x13831,x13835,x13836),f551(x13833,x13834,x13832,x13835,x13836))
% 198.08/197.86 [1384]~E(x13841,x13842)+E(f551(x13843,x13844,x13845,x13841,x13846),f551(x13843,x13844,x13845,x13842,x13846))
% 198.08/197.86 [1385]~E(x13851,x13852)+E(f551(x13853,x13854,x13855,x13856,x13851),f551(x13853,x13854,x13855,x13856,x13852))
% 198.08/197.86 [1386]~E(x13861,x13862)+E(f746(x13861,x13863),f746(x13862,x13863))
% 198.08/197.86 [1387]~E(x13871,x13872)+E(f746(x13873,x13871),f746(x13873,x13872))
% 198.08/197.86 [1388]~E(x13881,x13882)+E(f204(x13881),f204(x13882))
% 198.08/197.86 [1389]~E(x13891,x13892)+E(f260(x13891,x13893,x13894,x13895,x13896),f260(x13892,x13893,x13894,x13895,x13896))
% 198.08/197.86 [1390]~E(x13901,x13902)+E(f260(x13903,x13901,x13904,x13905,x13906),f260(x13903,x13902,x13904,x13905,x13906))
% 198.08/197.86 [1391]~E(x13911,x13912)+E(f260(x13913,x13914,x13911,x13915,x13916),f260(x13913,x13914,x13912,x13915,x13916))
% 198.08/197.86 [1392]~E(x13921,x13922)+E(f260(x13923,x13924,x13925,x13921,x13926),f260(x13923,x13924,x13925,x13922,x13926))
% 198.08/197.86 [1393]~E(x13931,x13932)+E(f260(x13933,x13934,x13935,x13936,x13931),f260(x13933,x13934,x13935,x13936,x13932))
% 198.08/197.86 [1394]~E(x13941,x13942)+E(f396(x13941,x13943,x13944),f396(x13942,x13943,x13944))
% 198.08/197.86 [1395]~E(x13951,x13952)+E(f396(x13953,x13951,x13954),f396(x13953,x13952,x13954))
% 198.08/197.86 [1396]~E(x13961,x13962)+E(f396(x13963,x13964,x13961),f396(x13963,x13964,x13962))
% 198.08/197.86 [1397]~E(x13971,x13972)+E(f523(x13971,x13973,x13974,x13975,x13976),f523(x13972,x13973,x13974,x13975,x13976))
% 198.08/197.86 [1398]~E(x13981,x13982)+E(f523(x13983,x13981,x13984,x13985,x13986),f523(x13983,x13982,x13984,x13985,x13986))
% 198.08/197.86 [1399]~E(x13991,x13992)+E(f523(x13993,x13994,x13991,x13995,x13996),f523(x13993,x13994,x13992,x13995,x13996))
% 198.08/197.86 [1400]~E(x14001,x14002)+E(f523(x14003,x14004,x14005,x14001,x14006),f523(x14003,x14004,x14005,x14002,x14006))
% 198.08/197.86 [1401]~E(x14011,x14012)+E(f523(x14013,x14014,x14015,x14016,x14011),f523(x14013,x14014,x14015,x14016,x14012))
% 198.08/197.86 [1402]~E(x14021,x14022)+E(f215(x14021,x14023),f215(x14022,x14023))
% 198.08/197.86 [1403]~E(x14031,x14032)+E(f215(x14033,x14031),f215(x14033,x14032))
% 198.08/197.86 [1404]~E(x14041,x14042)+E(f735(x14041,x14043,x14044,x14045),f735(x14042,x14043,x14044,x14045))
% 198.08/197.86 [1405]~E(x14051,x14052)+E(f735(x14053,x14051,x14054,x14055),f735(x14053,x14052,x14054,x14055))
% 198.08/197.86 [1406]~E(x14061,x14062)+E(f735(x14063,x14064,x14061,x14065),f735(x14063,x14064,x14062,x14065))
% 198.08/197.86 [1407]~E(x14071,x14072)+E(f735(x14073,x14074,x14075,x14071),f735(x14073,x14074,x14075,x14072))
% 198.08/197.86 [1408]~E(x14081,x14082)+E(f123(x14081),f123(x14082))
% 198.08/197.86 [1409]~E(x14091,x14092)+E(f669(x14091,x14093,x14094,x14095,x14096),f669(x14092,x14093,x14094,x14095,x14096))
% 198.08/197.86 [1410]~E(x14101,x14102)+E(f669(x14103,x14101,x14104,x14105,x14106),f669(x14103,x14102,x14104,x14105,x14106))
% 198.08/197.86 [1411]~E(x14111,x14112)+E(f669(x14113,x14114,x14111,x14115,x14116),f669(x14113,x14114,x14112,x14115,x14116))
% 198.08/197.86 [1412]~E(x14121,x14122)+E(f669(x14123,x14124,x14125,x14121,x14126),f669(x14123,x14124,x14125,x14122,x14126))
% 198.08/197.86 [1413]~E(x14131,x14132)+E(f669(x14133,x14134,x14135,x14136,x14131),f669(x14133,x14134,x14135,x14136,x14132))
% 198.08/197.86 [1414]~E(x14141,x14142)+E(f258(x14141,x14143,x14144,x14145),f258(x14142,x14143,x14144,x14145))
% 198.08/197.86 [1415]~E(x14151,x14152)+E(f258(x14153,x14151,x14154,x14155),f258(x14153,x14152,x14154,x14155))
% 198.08/197.86 [1416]~E(x14161,x14162)+E(f258(x14163,x14164,x14161,x14165),f258(x14163,x14164,x14162,x14165))
% 198.08/197.86 [1417]~E(x14171,x14172)+E(f258(x14173,x14174,x14175,x14171),f258(x14173,x14174,x14175,x14172))
% 198.08/197.86 [1418]~E(x14181,x14182)+E(f504(x14181),f504(x14182))
% 198.08/197.86 [1419]~E(x14191,x14192)+E(f364(x14191,x14193),f364(x14192,x14193))
% 198.08/197.86 [1420]~E(x14201,x14202)+E(f364(x14203,x14201),f364(x14203,x14202))
% 198.08/197.86 [1421]~E(x14211,x14212)+E(f216(x14211,x14213),f216(x14212,x14213))
% 198.08/197.86 [1422]~E(x14221,x14222)+E(f216(x14223,x14221),f216(x14223,x14222))
% 198.08/197.86 [1423]~E(x14231,x14232)+E(f320(x14231,x14233,x14234),f320(x14232,x14233,x14234))
% 198.08/197.86 [1424]~E(x14241,x14242)+E(f320(x14243,x14241,x14244),f320(x14243,x14242,x14244))
% 198.08/197.86 [1425]~E(x14251,x14252)+E(f320(x14253,x14254,x14251),f320(x14253,x14254,x14252))
% 198.08/197.86 [1426]~E(x14261,x14262)+E(f859(x14261,x14263,x14264,x14265,x14266,x14267,x14268,x14269),f859(x14262,x14263,x14264,x14265,x14266,x14267,x14268,x14269))
% 198.08/197.86 [1427]~E(x14271,x14272)+E(f859(x14273,x14271,x14274,x14275,x14276,x14277,x14278,x14279),f859(x14273,x14272,x14274,x14275,x14276,x14277,x14278,x14279))
% 198.08/197.86 [1428]~E(x14281,x14282)+E(f859(x14283,x14284,x14281,x14285,x14286,x14287,x14288,x14289),f859(x14283,x14284,x14282,x14285,x14286,x14287,x14288,x14289))
% 198.08/197.86 [1429]~E(x14291,x14292)+E(f859(x14293,x14294,x14295,x14291,x14296,x14297,x14298,x14299),f859(x14293,x14294,x14295,x14292,x14296,x14297,x14298,x14299))
% 198.08/197.86 [1430]~E(x14301,x14302)+E(f859(x14303,x14304,x14305,x14306,x14301,x14307,x14308,x14309),f859(x14303,x14304,x14305,x14306,x14302,x14307,x14308,x14309))
% 198.08/197.86 [1431]~E(x14311,x14312)+E(f859(x14313,x14314,x14315,x14316,x14317,x14311,x14318,x14319),f859(x14313,x14314,x14315,x14316,x14317,x14312,x14318,x14319))
% 198.08/197.86 [1432]~E(x14321,x14322)+E(f859(x14323,x14324,x14325,x14326,x14327,x14328,x14321,x14329),f859(x14323,x14324,x14325,x14326,x14327,x14328,x14322,x14329))
% 198.08/197.86 [1433]~E(x14331,x14332)+E(f859(x14333,x14334,x14335,x14336,x14337,x14338,x14339,x14331),f859(x14333,x14334,x14335,x14336,x14337,x14338,x14339,x14332))
% 198.08/197.86 [1434]~E(x14341,x14342)+E(f596(x14341,x14343,x14344,x14345),f596(x14342,x14343,x14344,x14345))
% 198.08/197.86 [1435]~E(x14351,x14352)+E(f596(x14353,x14351,x14354,x14355),f596(x14353,x14352,x14354,x14355))
% 198.08/197.86 [1436]~E(x14361,x14362)+E(f596(x14363,x14364,x14361,x14365),f596(x14363,x14364,x14362,x14365))
% 198.08/197.86 [1437]~E(x14371,x14372)+E(f596(x14373,x14374,x14375,x14371),f596(x14373,x14374,x14375,x14372))
% 198.08/197.86 [1438]~E(x14381,x14382)+E(f848(x14381,x14383,x14384,x14385,x14386,x14387,x14388,x14389),f848(x14382,x14383,x14384,x14385,x14386,x14387,x14388,x14389))
% 198.08/197.86 [1439]~E(x14391,x14392)+E(f848(x14393,x14391,x14394,x14395,x14396,x14397,x14398,x14399),f848(x14393,x14392,x14394,x14395,x14396,x14397,x14398,x14399))
% 198.08/197.86 [1440]~E(x14401,x14402)+E(f848(x14403,x14404,x14401,x14405,x14406,x14407,x14408,x14409),f848(x14403,x14404,x14402,x14405,x14406,x14407,x14408,x14409))
% 198.08/197.86 [1441]~E(x14411,x14412)+E(f848(x14413,x14414,x14415,x14411,x14416,x14417,x14418,x14419),f848(x14413,x14414,x14415,x14412,x14416,x14417,x14418,x14419))
% 198.08/197.86 [1442]~E(x14421,x14422)+E(f848(x14423,x14424,x14425,x14426,x14421,x14427,x14428,x14429),f848(x14423,x14424,x14425,x14426,x14422,x14427,x14428,x14429))
% 198.08/197.86 [1443]~E(x14431,x14432)+E(f848(x14433,x14434,x14435,x14436,x14437,x14431,x14438,x14439),f848(x14433,x14434,x14435,x14436,x14437,x14432,x14438,x14439))
% 198.08/197.86 [1444]~E(x14441,x14442)+E(f848(x14443,x14444,x14445,x14446,x14447,x14448,x14441,x14449),f848(x14443,x14444,x14445,x14446,x14447,x14448,x14442,x14449))
% 198.08/197.86 [1445]~E(x14451,x14452)+E(f848(x14453,x14454,x14455,x14456,x14457,x14458,x14459,x14451),f848(x14453,x14454,x14455,x14456,x14457,x14458,x14459,x14452))
% 198.08/197.86 [1446]~E(x14461,x14462)+E(f657(x14461,x14463,x14464,x14465,x14466),f657(x14462,x14463,x14464,x14465,x14466))
% 198.08/197.86 [1447]~E(x14471,x14472)+E(f657(x14473,x14471,x14474,x14475,x14476),f657(x14473,x14472,x14474,x14475,x14476))
% 198.08/197.86 [1448]~E(x14481,x14482)+E(f657(x14483,x14484,x14481,x14485,x14486),f657(x14483,x14484,x14482,x14485,x14486))
% 198.08/197.86 [1449]~E(x14491,x14492)+E(f657(x14493,x14494,x14495,x14491,x14496),f657(x14493,x14494,x14495,x14492,x14496))
% 198.08/197.86 [1450]~E(x14501,x14502)+E(f657(x14503,x14504,x14505,x14506,x14501),f657(x14503,x14504,x14505,x14506,x14502))
% 198.08/197.86 [1451]~E(x14511,x14512)+E(f514(x14511,x14513,x14514,x14515),f514(x14512,x14513,x14514,x14515))
% 198.08/197.86 [1452]~E(x14521,x14522)+E(f514(x14523,x14521,x14524,x14525),f514(x14523,x14522,x14524,x14525))
% 198.08/197.86 [1453]~E(x14531,x14532)+E(f514(x14533,x14534,x14531,x14535),f514(x14533,x14534,x14532,x14535))
% 198.08/197.86 [1454]~E(x14541,x14542)+E(f514(x14543,x14544,x14545,x14541),f514(x14543,x14544,x14545,x14542))
% 198.08/197.86 [1455]~E(x14551,x14552)+E(f502(x14551,x14553,x14554,x14555,x14556,x14557,x14558,x14559,x145510),f502(x14552,x14553,x14554,x14555,x14556,x14557,x14558,x14559,x145510))
% 198.08/197.86 [1456]~E(x14561,x14562)+E(f502(x14563,x14561,x14564,x14565,x14566,x14567,x14568,x14569,x145610),f502(x14563,x14562,x14564,x14565,x14566,x14567,x14568,x14569,x145610))
% 198.08/197.86 [1457]~E(x14571,x14572)+E(f502(x14573,x14574,x14571,x14575,x14576,x14577,x14578,x14579,x145710),f502(x14573,x14574,x14572,x14575,x14576,x14577,x14578,x14579,x145710))
% 198.08/197.86 [1458]~E(x14581,x14582)+E(f502(x14583,x14584,x14585,x14581,x14586,x14587,x14588,x14589,x145810),f502(x14583,x14584,x14585,x14582,x14586,x14587,x14588,x14589,x145810))
% 198.08/197.86 [1459]~E(x14591,x14592)+E(f502(x14593,x14594,x14595,x14596,x14591,x14597,x14598,x14599,x145910),f502(x14593,x14594,x14595,x14596,x14592,x14597,x14598,x14599,x145910))
% 198.08/197.86 [1460]~E(x14601,x14602)+E(f502(x14603,x14604,x14605,x14606,x14607,x14601,x14608,x14609,x146010),f502(x14603,x14604,x14605,x14606,x14607,x14602,x14608,x14609,x146010))
% 198.08/197.86 [1461]~E(x14611,x14612)+E(f502(x14613,x14614,x14615,x14616,x14617,x14618,x14611,x14619,x146110),f502(x14613,x14614,x14615,x14616,x14617,x14618,x14612,x14619,x146110))
% 198.08/197.86 [1462]~E(x14621,x14622)+E(f502(x14623,x14624,x14625,x14626,x14627,x14628,x14629,x14621,x146210),f502(x14623,x14624,x14625,x14626,x14627,x14628,x14629,x14622,x146210))
% 198.08/197.86 [1463]~E(x14631,x14632)+E(f502(x14633,x14634,x14635,x14636,x14637,x14638,x14639,x146310,x14631),f502(x14633,x14634,x14635,x14636,x14637,x14638,x14639,x146310,x14632))
% 198.08/197.86 [1464]~E(x14641,x14642)+E(f441(x14641,x14643,x14644,x14645,x14646),f441(x14642,x14643,x14644,x14645,x14646))
% 198.08/197.86 [1465]~E(x14651,x14652)+E(f441(x14653,x14651,x14654,x14655,x14656),f441(x14653,x14652,x14654,x14655,x14656))
% 198.08/197.86 [1466]~E(x14661,x14662)+E(f441(x14663,x14664,x14661,x14665,x14666),f441(x14663,x14664,x14662,x14665,x14666))
% 198.08/197.86 [1467]~E(x14671,x14672)+E(f441(x14673,x14674,x14675,x14671,x14676),f441(x14673,x14674,x14675,x14672,x14676))
% 198.08/197.86 [1468]~E(x14681,x14682)+E(f441(x14683,x14684,x14685,x14686,x14681),f441(x14683,x14684,x14685,x14686,x14682))
% 198.08/197.86 [1469]~E(x14691,x14692)+E(f798(x14691,x14693,x14694,x14695,x14696,x14697,x14698),f798(x14692,x14693,x14694,x14695,x14696,x14697,x14698))
% 198.08/197.86 [1470]~E(x14701,x14702)+E(f798(x14703,x14701,x14704,x14705,x14706,x14707,x14708),f798(x14703,x14702,x14704,x14705,x14706,x14707,x14708))
% 198.08/197.86 [1471]~E(x14711,x14712)+E(f798(x14713,x14714,x14711,x14715,x14716,x14717,x14718),f798(x14713,x14714,x14712,x14715,x14716,x14717,x14718))
% 198.08/197.86 [1472]~E(x14721,x14722)+E(f798(x14723,x14724,x14725,x14721,x14726,x14727,x14728),f798(x14723,x14724,x14725,x14722,x14726,x14727,x14728))
% 198.08/197.86 [1473]~E(x14731,x14732)+E(f798(x14733,x14734,x14735,x14736,x14731,x14737,x14738),f798(x14733,x14734,x14735,x14736,x14732,x14737,x14738))
% 198.08/197.86 [1474]~E(x14741,x14742)+E(f798(x14743,x14744,x14745,x14746,x14747,x14741,x14748),f798(x14743,x14744,x14745,x14746,x14747,x14742,x14748))
% 198.08/197.86 [1475]~E(x14751,x14752)+E(f798(x14753,x14754,x14755,x14756,x14757,x14758,x14751),f798(x14753,x14754,x14755,x14756,x14757,x14758,x14752))
% 198.08/197.86 [1476]~E(x14761,x14762)+E(f451(x14761,x14763,x14764,x14765),f451(x14762,x14763,x14764,x14765))
% 198.08/197.86 [1477]~E(x14771,x14772)+E(f451(x14773,x14771,x14774,x14775),f451(x14773,x14772,x14774,x14775))
% 198.08/197.86 [1478]~E(x14781,x14782)+E(f451(x14783,x14784,x14781,x14785),f451(x14783,x14784,x14782,x14785))
% 198.08/197.86 [1479]~E(x14791,x14792)+E(f451(x14793,x14794,x14795,x14791),f451(x14793,x14794,x14795,x14792))
% 198.08/197.86 [1480]~E(x14801,x14802)+E(f544(x14801,x14803,x14804,x14805,x14806),f544(x14802,x14803,x14804,x14805,x14806))
% 198.08/197.86 [1481]~E(x14811,x14812)+E(f544(x14813,x14811,x14814,x14815,x14816),f544(x14813,x14812,x14814,x14815,x14816))
% 198.08/197.86 [1482]~E(x14821,x14822)+E(f544(x14823,x14824,x14821,x14825,x14826),f544(x14823,x14824,x14822,x14825,x14826))
% 198.08/197.86 [1483]~E(x14831,x14832)+E(f544(x14833,x14834,x14835,x14831,x14836),f544(x14833,x14834,x14835,x14832,x14836))
% 198.08/197.86 [1484]~E(x14841,x14842)+E(f544(x14843,x14844,x14845,x14846,x14841),f544(x14843,x14844,x14845,x14846,x14842))
% 198.08/197.86 [1485]~E(x14851,x14852)+E(f811(x14851,x14853,x14854,x14855,x14856),f811(x14852,x14853,x14854,x14855,x14856))
% 198.08/197.86 [1486]~E(x14861,x14862)+E(f811(x14863,x14861,x14864,x14865,x14866),f811(x14863,x14862,x14864,x14865,x14866))
% 198.08/197.86 [1487]~E(x14871,x14872)+E(f811(x14873,x14874,x14871,x14875,x14876),f811(x14873,x14874,x14872,x14875,x14876))
% 198.08/197.86 [1488]~E(x14881,x14882)+E(f811(x14883,x14884,x14885,x14881,x14886),f811(x14883,x14884,x14885,x14882,x14886))
% 198.08/197.86 [1489]~E(x14891,x14892)+E(f811(x14893,x14894,x14895,x14896,x14891),f811(x14893,x14894,x14895,x14896,x14892))
% 198.08/197.86 [1490]~E(x14901,x14902)+E(f19(x14901,x14903,x14904,x14905),f19(x14902,x14903,x14904,x14905))
% 198.08/197.86 [1491]~E(x14911,x14912)+E(f19(x14913,x14911,x14914,x14915),f19(x14913,x14912,x14914,x14915))
% 198.08/197.86 [1492]~E(x14921,x14922)+E(f19(x14923,x14924,x14921,x14925),f19(x14923,x14924,x14922,x14925))
% 198.08/197.86 [1493]~E(x14931,x14932)+E(f19(x14933,x14934,x14935,x14931),f19(x14933,x14934,x14935,x14932))
% 198.08/197.86 [1494]~E(x14941,x14942)+E(f656(x14941,x14943,x14944,x14945,x14946),f656(x14942,x14943,x14944,x14945,x14946))
% 198.08/197.86 [1495]~E(x14951,x14952)+E(f656(x14953,x14951,x14954,x14955,x14956),f656(x14953,x14952,x14954,x14955,x14956))
% 198.08/197.86 [1496]~E(x14961,x14962)+E(f656(x14963,x14964,x14961,x14965,x14966),f656(x14963,x14964,x14962,x14965,x14966))
% 198.08/197.86 [1497]~E(x14971,x14972)+E(f656(x14973,x14974,x14975,x14971,x14976),f656(x14973,x14974,x14975,x14972,x14976))
% 198.08/197.86 [1498]~E(x14981,x14982)+E(f656(x14983,x14984,x14985,x14986,x14981),f656(x14983,x14984,x14985,x14986,x14982))
% 198.08/197.86 [1499]~E(x14991,x14992)+E(f449(x14991,x14993,x14994,x14995),f449(x14992,x14993,x14994,x14995))
% 198.08/197.86 [1500]~E(x15001,x15002)+E(f449(x15003,x15001,x15004,x15005),f449(x15003,x15002,x15004,x15005))
% 198.08/197.86 [1501]~E(x15011,x15012)+E(f449(x15013,x15014,x15011,x15015),f449(x15013,x15014,x15012,x15015))
% 198.08/197.86 [1502]~E(x15021,x15022)+E(f449(x15023,x15024,x15025,x15021),f449(x15023,x15024,x15025,x15022))
% 198.08/197.86 [1503]~E(x15031,x15032)+E(f841(x15031,x15033,x15034,x15035),f841(x15032,x15033,x15034,x15035))
% 198.08/197.86 [1504]~E(x15041,x15042)+E(f841(x15043,x15041,x15044,x15045),f841(x15043,x15042,x15044,x15045))
% 198.08/197.86 [1505]~E(x15051,x15052)+E(f841(x15053,x15054,x15051,x15055),f841(x15053,x15054,x15052,x15055))
% 198.08/197.86 [1506]~E(x15061,x15062)+E(f841(x15063,x15064,x15065,x15061),f841(x15063,x15064,x15065,x15062))
% 198.08/197.86 [1507]~E(x15071,x15072)+E(f545(x15071,x15073,x15074,x15075,x15076),f545(x15072,x15073,x15074,x15075,x15076))
% 198.08/197.86 [1508]~E(x15081,x15082)+E(f545(x15083,x15081,x15084,x15085,x15086),f545(x15083,x15082,x15084,x15085,x15086))
% 198.08/197.86 [1509]~E(x15091,x15092)+E(f545(x15093,x15094,x15091,x15095,x15096),f545(x15093,x15094,x15092,x15095,x15096))
% 198.08/197.86 [1510]~E(x15101,x15102)+E(f545(x15103,x15104,x15105,x15101,x15106),f545(x15103,x15104,x15105,x15102,x15106))
% 198.08/197.86 [1511]~E(x15111,x15112)+E(f545(x15113,x15114,x15115,x15116,x15111),f545(x15113,x15114,x15115,x15116,x15112))
% 198.08/197.86 [1512]~E(x15121,x15122)+E(f198(x15121,x15123,x15124,x15125),f198(x15122,x15123,x15124,x15125))
% 198.08/197.86 [1513]~E(x15131,x15132)+E(f198(x15133,x15131,x15134,x15135),f198(x15133,x15132,x15134,x15135))
% 198.08/197.86 [1514]~E(x15141,x15142)+E(f198(x15143,x15144,x15141,x15145),f198(x15143,x15144,x15142,x15145))
% 198.08/197.86 [1515]~E(x15151,x15152)+E(f198(x15153,x15154,x15155,x15151),f198(x15153,x15154,x15155,x15152))
% 198.08/197.86 [1516]~E(x15161,x15162)+E(f344(x15161,x15163,x15164),f344(x15162,x15163,x15164))
% 198.08/197.86 [1517]~E(x15171,x15172)+E(f344(x15173,x15171,x15174),f344(x15173,x15172,x15174))
% 198.08/197.86 [1518]~E(x15181,x15182)+E(f344(x15183,x15184,x15181),f344(x15183,x15184,x15182))
% 198.08/197.86 [1519]~E(x15191,x15192)+E(f894(x15191,x15193,x15194,x15195,x15196),f894(x15192,x15193,x15194,x15195,x15196))
% 198.08/197.86 [1520]~E(x15201,x15202)+E(f894(x15203,x15201,x15204,x15205,x15206),f894(x15203,x15202,x15204,x15205,x15206))
% 198.08/197.86 [1521]~E(x15211,x15212)+E(f894(x15213,x15214,x15211,x15215,x15216),f894(x15213,x15214,x15212,x15215,x15216))
% 198.08/197.86 [1522]~E(x15221,x15222)+E(f894(x15223,x15224,x15225,x15221,x15226),f894(x15223,x15224,x15225,x15222,x15226))
% 198.08/197.86 [1523]~E(x15231,x15232)+E(f894(x15233,x15234,x15235,x15236,x15231),f894(x15233,x15234,x15235,x15236,x15232))
% 198.08/197.86 [1524]~E(x15241,x15242)+E(f917(x15241,x15243,x15244),f917(x15242,x15243,x15244))
% 198.08/197.86 [1525]~E(x15251,x15252)+E(f917(x15253,x15251,x15254),f917(x15253,x15252,x15254))
% 198.08/197.86 [1526]~E(x15261,x15262)+E(f917(x15263,x15264,x15261),f917(x15263,x15264,x15262))
% 198.08/197.86 [1527]~E(x15271,x15272)+E(f443(x15271,x15273),f443(x15272,x15273))
% 198.08/197.86 [1528]~E(x15281,x15282)+E(f443(x15283,x15281),f443(x15283,x15282))
% 198.08/197.86 [1529]~E(x15291,x15292)+E(f829(x15291,x15293),f829(x15292,x15293))
% 198.08/197.86 [1530]~E(x15301,x15302)+E(f829(x15303,x15301),f829(x15303,x15302))
% 198.08/197.86 [1531]~E(x15311,x15312)+E(f400(x15311,x15313,x15314),f400(x15312,x15313,x15314))
% 198.08/197.86 [1532]~E(x15321,x15322)+E(f400(x15323,x15321,x15324),f400(x15323,x15322,x15324))
% 198.08/197.86 [1533]~E(x15331,x15332)+E(f400(x15333,x15334,x15331),f400(x15333,x15334,x15332))
% 198.08/197.86 [1534]~E(x15341,x15342)+E(f166(x15341,x15343,x15344),f166(x15342,x15343,x15344))
% 198.08/197.86 [1535]~E(x15351,x15352)+E(f166(x15353,x15351,x15354),f166(x15353,x15352,x15354))
% 198.08/197.86 [1536]~E(x15361,x15362)+E(f166(x15363,x15364,x15361),f166(x15363,x15364,x15362))
% 198.08/197.86 [1537]~E(x15371,x15372)+E(f695(x15371,x15373,x15374,x15375,x15376),f695(x15372,x15373,x15374,x15375,x15376))
% 198.08/197.86 [1538]~E(x15381,x15382)+E(f695(x15383,x15381,x15384,x15385,x15386),f695(x15383,x15382,x15384,x15385,x15386))
% 198.08/197.86 [1539]~E(x15391,x15392)+E(f695(x15393,x15394,x15391,x15395,x15396),f695(x15393,x15394,x15392,x15395,x15396))
% 198.08/197.86 [1540]~E(x15401,x15402)+E(f695(x15403,x15404,x15405,x15401,x15406),f695(x15403,x15404,x15405,x15402,x15406))
% 198.08/197.86 [1541]~E(x15411,x15412)+E(f695(x15413,x15414,x15415,x15416,x15411),f695(x15413,x15414,x15415,x15416,x15412))
% 198.08/197.86 [1542]~E(x15421,x15422)+E(f717(x15421,x15423),f717(x15422,x15423))
% 198.08/197.86 [1543]~E(x15431,x15432)+E(f717(x15433,x15431),f717(x15433,x15432))
% 198.08/197.86 [1544]~E(x15441,x15442)+E(f350(x15441,x15443,x15444,x15445),f350(x15442,x15443,x15444,x15445))
% 198.08/197.86 [1545]~E(x15451,x15452)+E(f350(x15453,x15451,x15454,x15455),f350(x15453,x15452,x15454,x15455))
% 198.08/197.86 [1546]~E(x15461,x15462)+E(f350(x15463,x15464,x15461,x15465),f350(x15463,x15464,x15462,x15465))
% 198.08/197.86 [1547]~E(x15471,x15472)+E(f350(x15473,x15474,x15475,x15471),f350(x15473,x15474,x15475,x15472))
% 198.08/197.86 [1548]~E(x15481,x15482)+E(f486(x15481,x15483,x15484,x15485,x15486,x15487,x15488),f486(x15482,x15483,x15484,x15485,x15486,x15487,x15488))
% 198.08/197.86 [1549]~E(x15491,x15492)+E(f486(x15493,x15491,x15494,x15495,x15496,x15497,x15498),f486(x15493,x15492,x15494,x15495,x15496,x15497,x15498))
% 198.08/197.86 [1550]~E(x15501,x15502)+E(f486(x15503,x15504,x15501,x15505,x15506,x15507,x15508),f486(x15503,x15504,x15502,x15505,x15506,x15507,x15508))
% 198.08/197.86 [1551]~E(x15511,x15512)+E(f486(x15513,x15514,x15515,x15511,x15516,x15517,x15518),f486(x15513,x15514,x15515,x15512,x15516,x15517,x15518))
% 198.08/197.86 [1552]~E(x15521,x15522)+E(f486(x15523,x15524,x15525,x15526,x15521,x15527,x15528),f486(x15523,x15524,x15525,x15526,x15522,x15527,x15528))
% 198.08/197.86 [1553]~E(x15531,x15532)+E(f486(x15533,x15534,x15535,x15536,x15537,x15531,x15538),f486(x15533,x15534,x15535,x15536,x15537,x15532,x15538))
% 198.08/197.86 [1554]~E(x15541,x15542)+E(f486(x15543,x15544,x15545,x15546,x15547,x15548,x15541),f486(x15543,x15544,x15545,x15546,x15547,x15548,x15542))
% 198.08/197.86 [1555]~E(x15551,x15552)+E(f464(x15551,x15553,x15554,x15555),f464(x15552,x15553,x15554,x15555))
% 198.08/197.86 [1556]~E(x15561,x15562)+E(f464(x15563,x15561,x15564,x15565),f464(x15563,x15562,x15564,x15565))
% 198.08/197.86 [1557]~E(x15571,x15572)+E(f464(x15573,x15574,x15571,x15575),f464(x15573,x15574,x15572,x15575))
% 198.08/197.86 [1558]~E(x15581,x15582)+E(f464(x15583,x15584,x15585,x15581),f464(x15583,x15584,x15585,x15582))
% 198.08/197.86 [1559]~E(x15591,x15592)+E(f588(x15591,x15593,x15594,x15595),f588(x15592,x15593,x15594,x15595))
% 198.08/197.86 [1560]~E(x15601,x15602)+E(f588(x15603,x15601,x15604,x15605),f588(x15603,x15602,x15604,x15605))
% 198.08/197.86 [1561]~E(x15611,x15612)+E(f588(x15613,x15614,x15611,x15615),f588(x15613,x15614,x15612,x15615))
% 198.08/197.86 [1562]~E(x15621,x15622)+E(f588(x15623,x15624,x15625,x15621),f588(x15623,x15624,x15625,x15622))
% 198.08/197.86 [1563]~E(x15631,x15632)+E(f645(x15631,x15633,x15634,x15635),f645(x15632,x15633,x15634,x15635))
% 198.08/197.86 [1564]~E(x15641,x15642)+E(f645(x15643,x15641,x15644,x15645),f645(x15643,x15642,x15644,x15645))
% 198.08/197.86 [1565]~E(x15651,x15652)+E(f645(x15653,x15654,x15651,x15655),f645(x15653,x15654,x15652,x15655))
% 198.08/197.86 [1566]~E(x15661,x15662)+E(f645(x15663,x15664,x15665,x15661),f645(x15663,x15664,x15665,x15662))
% 198.08/197.86 [1567]~E(x15671,x15672)+E(f538(x15671,x15673,x15674),f538(x15672,x15673,x15674))
% 198.08/197.86 [1568]~E(x15681,x15682)+E(f538(x15683,x15681,x15684),f538(x15683,x15682,x15684))
% 198.08/197.86 [1569]~E(x15691,x15692)+E(f538(x15693,x15694,x15691),f538(x15693,x15694,x15692))
% 198.08/197.86 [1570]~E(x15701,x15702)+E(f362(x15701,x15703,x15704),f362(x15702,x15703,x15704))
% 198.08/197.86 [1571]~E(x15711,x15712)+E(f362(x15713,x15711,x15714),f362(x15713,x15712,x15714))
% 198.08/197.86 [1572]~E(x15721,x15722)+E(f362(x15723,x15724,x15721),f362(x15723,x15724,x15722))
% 198.08/197.86 [1573]~E(x15731,x15732)+E(f867(x15731,x15733,x15734),f867(x15732,x15733,x15734))
% 198.08/197.86 [1574]~E(x15741,x15742)+E(f867(x15743,x15741,x15744),f867(x15743,x15742,x15744))
% 198.08/197.86 [1575]~E(x15751,x15752)+E(f867(x15753,x15754,x15751),f867(x15753,x15754,x15752))
% 198.08/197.86 [1576]~E(x15761,x15762)+E(f346(x15761,x15763,x15764),f346(x15762,x15763,x15764))
% 198.08/197.86 [1577]~E(x15771,x15772)+E(f346(x15773,x15771,x15774),f346(x15773,x15772,x15774))
% 198.08/197.86 [1578]~E(x15781,x15782)+E(f346(x15783,x15784,x15781),f346(x15783,x15784,x15782))
% 198.08/197.86 [1579]~E(x15791,x15792)+E(f687(x15791,x15793),f687(x15792,x15793))
% 198.08/197.86 [1580]~E(x15801,x15802)+E(f687(x15803,x15801),f687(x15803,x15802))
% 198.08/197.86 [1581]~E(x15811,x15812)+E(f885(x15811,x15813,x15814,x15815,x15816,x15817),f885(x15812,x15813,x15814,x15815,x15816,x15817))
% 198.08/197.86 [1582]~E(x15821,x15822)+E(f885(x15823,x15821,x15824,x15825,x15826,x15827),f885(x15823,x15822,x15824,x15825,x15826,x15827))
% 198.08/197.86 [1583]~E(x15831,x15832)+E(f885(x15833,x15834,x15831,x15835,x15836,x15837),f885(x15833,x15834,x15832,x15835,x15836,x15837))
% 198.08/197.86 [1584]~E(x15841,x15842)+E(f885(x15843,x15844,x15845,x15841,x15846,x15847),f885(x15843,x15844,x15845,x15842,x15846,x15847))
% 198.08/197.86 [1585]~E(x15851,x15852)+E(f885(x15853,x15854,x15855,x15856,x15851,x15857),f885(x15853,x15854,x15855,x15856,x15852,x15857))
% 198.08/197.86 [1586]~E(x15861,x15862)+E(f885(x15863,x15864,x15865,x15866,x15867,x15861),f885(x15863,x15864,x15865,x15866,x15867,x15862))
% 198.08/197.86 [1587]~E(x15871,x15872)+E(f918(x15871,x15873,x15874,x15875,x15876,x15877),f918(x15872,x15873,x15874,x15875,x15876,x15877))
% 198.08/197.86 [1588]~E(x15881,x15882)+E(f918(x15883,x15881,x15884,x15885,x15886,x15887),f918(x15883,x15882,x15884,x15885,x15886,x15887))
% 198.08/197.86 [1589]~E(x15891,x15892)+E(f918(x15893,x15894,x15891,x15895,x15896,x15897),f918(x15893,x15894,x15892,x15895,x15896,x15897))
% 198.08/197.86 [1590]~E(x15901,x15902)+E(f918(x15903,x15904,x15905,x15901,x15906,x15907),f918(x15903,x15904,x15905,x15902,x15906,x15907))
% 198.08/197.86 [1591]~E(x15911,x15912)+E(f918(x15913,x15914,x15915,x15916,x15911,x15917),f918(x15913,x15914,x15915,x15916,x15912,x15917))
% 198.08/197.86 [1592]~E(x15921,x15922)+E(f918(x15923,x15924,x15925,x15926,x15927,x15921),f918(x15923,x15924,x15925,x15926,x15927,x15922))
% 198.08/197.86 [1593]~E(x15931,x15932)+E(f806(x15931,x15933,x15934),f806(x15932,x15933,x15934))
% 198.08/197.86 [1594]~E(x15941,x15942)+E(f806(x15943,x15941,x15944),f806(x15943,x15942,x15944))
% 198.08/197.86 [1595]~E(x15951,x15952)+E(f806(x15953,x15954,x15951),f806(x15953,x15954,x15952))
% 198.08/197.86 [1596]~E(x15961,x15962)+E(f758(x15961,x15963,x15964,x15965,x15966),f758(x15962,x15963,x15964,x15965,x15966))
% 198.08/197.86 [1597]~E(x15971,x15972)+E(f758(x15973,x15971,x15974,x15975,x15976),f758(x15973,x15972,x15974,x15975,x15976))
% 198.08/197.86 [1598]~E(x15981,x15982)+E(f758(x15983,x15984,x15981,x15985,x15986),f758(x15983,x15984,x15982,x15985,x15986))
% 198.08/197.86 [1599]~E(x15991,x15992)+E(f758(x15993,x15994,x15995,x15991,x15996),f758(x15993,x15994,x15995,x15992,x15996))
% 198.08/197.86 [1600]~E(x16001,x16002)+E(f758(x16003,x16004,x16005,x16006,x16001),f758(x16003,x16004,x16005,x16006,x16002))
% 198.08/197.86 [1601]~E(x16011,x16012)+E(f788(x16011,x16013,x16014,x16015),f788(x16012,x16013,x16014,x16015))
% 198.08/197.86 [1602]~E(x16021,x16022)+E(f788(x16023,x16021,x16024,x16025),f788(x16023,x16022,x16024,x16025))
% 198.08/197.86 [1603]~E(x16031,x16032)+E(f788(x16033,x16034,x16031,x16035),f788(x16033,x16034,x16032,x16035))
% 198.08/197.86 [1604]~E(x16041,x16042)+E(f788(x16043,x16044,x16045,x16041),f788(x16043,x16044,x16045,x16042))
% 198.08/197.86 [1605]~E(x16051,x16052)+E(f797(x16051,x16053,x16054,x16055,x16056,x16057,x16058),f797(x16052,x16053,x16054,x16055,x16056,x16057,x16058))
% 198.08/197.86 [1606]~E(x16061,x16062)+E(f797(x16063,x16061,x16064,x16065,x16066,x16067,x16068),f797(x16063,x16062,x16064,x16065,x16066,x16067,x16068))
% 198.08/197.86 [1607]~E(x16071,x16072)+E(f797(x16073,x16074,x16071,x16075,x16076,x16077,x16078),f797(x16073,x16074,x16072,x16075,x16076,x16077,x16078))
% 198.08/197.86 [1608]~E(x16081,x16082)+E(f797(x16083,x16084,x16085,x16081,x16086,x16087,x16088),f797(x16083,x16084,x16085,x16082,x16086,x16087,x16088))
% 198.08/197.86 [1609]~E(x16091,x16092)+E(f797(x16093,x16094,x16095,x16096,x16091,x16097,x16098),f797(x16093,x16094,x16095,x16096,x16092,x16097,x16098))
% 198.08/197.86 [1610]~E(x16101,x16102)+E(f797(x16103,x16104,x16105,x16106,x16107,x16101,x16108),f797(x16103,x16104,x16105,x16106,x16107,x16102,x16108))
% 198.08/197.86 [1611]~E(x16111,x16112)+E(f797(x16113,x16114,x16115,x16116,x16117,x16118,x16111),f797(x16113,x16114,x16115,x16116,x16117,x16118,x16112))
% 198.08/197.86 [1612]~E(x16121,x16122)+E(f384(x16121,x16123,x16124,x16125),f384(x16122,x16123,x16124,x16125))
% 198.08/197.86 [1613]~E(x16131,x16132)+E(f384(x16133,x16131,x16134,x16135),f384(x16133,x16132,x16134,x16135))
% 198.08/197.86 [1614]~E(x16141,x16142)+E(f384(x16143,x16144,x16141,x16145),f384(x16143,x16144,x16142,x16145))
% 198.08/197.86 [1615]~E(x16151,x16152)+E(f384(x16153,x16154,x16155,x16151),f384(x16153,x16154,x16155,x16152))
% 198.08/197.86 [1616]~E(x16161,x16162)+E(f456(x16161,x16163,x16164,x16165),f456(x16162,x16163,x16164,x16165))
% 198.08/197.86 [1617]~E(x16171,x16172)+E(f456(x16173,x16171,x16174,x16175),f456(x16173,x16172,x16174,x16175))
% 198.08/197.86 [1618]~E(x16181,x16182)+E(f456(x16183,x16184,x16181,x16185),f456(x16183,x16184,x16182,x16185))
% 198.08/197.86 [1619]~E(x16191,x16192)+E(f456(x16193,x16194,x16195,x16191),f456(x16193,x16194,x16195,x16192))
% 198.08/197.86 [1620]~E(x16201,x16202)+E(f394(x16201,x16203),f394(x16202,x16203))
% 198.08/197.86 [1621]~E(x16211,x16212)+E(f394(x16213,x16211),f394(x16213,x16212))
% 198.08/197.86 [1622]~E(x16221,x16222)+E(f638(x16221,x16223,x16224),f638(x16222,x16223,x16224))
% 198.08/197.86 [1623]~E(x16231,x16232)+E(f638(x16233,x16231,x16234),f638(x16233,x16232,x16234))
% 198.08/197.86 [1624]~E(x16241,x16242)+E(f638(x16243,x16244,x16241),f638(x16243,x16244,x16242))
% 198.08/197.86 [1625]~E(x16251,x16252)+E(f624(x16251,x16253,x16254,x16255,x16256,x16257,x16258,x16259),f624(x16252,x16253,x16254,x16255,x16256,x16257,x16258,x16259))
% 198.08/197.86 [1626]~E(x16261,x16262)+E(f624(x16263,x16261,x16264,x16265,x16266,x16267,x16268,x16269),f624(x16263,x16262,x16264,x16265,x16266,x16267,x16268,x16269))
% 198.08/197.86 [1627]~E(x16271,x16272)+E(f624(x16273,x16274,x16271,x16275,x16276,x16277,x16278,x16279),f624(x16273,x16274,x16272,x16275,x16276,x16277,x16278,x16279))
% 198.08/197.86 [1628]~E(x16281,x16282)+E(f624(x16283,x16284,x16285,x16281,x16286,x16287,x16288,x16289),f624(x16283,x16284,x16285,x16282,x16286,x16287,x16288,x16289))
% 198.08/197.86 [1629]~E(x16291,x16292)+E(f624(x16293,x16294,x16295,x16296,x16291,x16297,x16298,x16299),f624(x16293,x16294,x16295,x16296,x16292,x16297,x16298,x16299))
% 198.08/197.86 [1630]~E(x16301,x16302)+E(f624(x16303,x16304,x16305,x16306,x16307,x16301,x16308,x16309),f624(x16303,x16304,x16305,x16306,x16307,x16302,x16308,x16309))
% 198.08/197.86 [1631]~E(x16311,x16312)+E(f624(x16313,x16314,x16315,x16316,x16317,x16318,x16311,x16319),f624(x16313,x16314,x16315,x16316,x16317,x16318,x16312,x16319))
% 198.08/197.86 [1632]~E(x16321,x16322)+E(f624(x16323,x16324,x16325,x16326,x16327,x16328,x16329,x16321),f624(x16323,x16324,x16325,x16326,x16327,x16328,x16329,x16322))
% 198.08/197.86 [1633]~E(x16331,x16332)+E(f67(x16331,x16333,x16334),f67(x16332,x16333,x16334))
% 198.08/197.86 [1634]~E(x16341,x16342)+E(f67(x16343,x16341,x16344),f67(x16343,x16342,x16344))
% 198.08/197.86 [1635]~E(x16351,x16352)+E(f67(x16353,x16354,x16351),f67(x16353,x16354,x16352))
% 198.08/197.86 [1636]~E(x16361,x16362)+E(f442(x16361,x16363,x16364,x16365,x16366,x16367,x16368),f442(x16362,x16363,x16364,x16365,x16366,x16367,x16368))
% 198.08/197.86 [1637]~E(x16371,x16372)+E(f442(x16373,x16371,x16374,x16375,x16376,x16377,x16378),f442(x16373,x16372,x16374,x16375,x16376,x16377,x16378))
% 198.08/197.86 [1638]~E(x16381,x16382)+E(f442(x16383,x16384,x16381,x16385,x16386,x16387,x16388),f442(x16383,x16384,x16382,x16385,x16386,x16387,x16388))
% 198.08/197.86 [1639]~E(x16391,x16392)+E(f442(x16393,x16394,x16395,x16391,x16396,x16397,x16398),f442(x16393,x16394,x16395,x16392,x16396,x16397,x16398))
% 198.08/197.86 [1640]~E(x16401,x16402)+E(f442(x16403,x16404,x16405,x16406,x16401,x16407,x16408),f442(x16403,x16404,x16405,x16406,x16402,x16407,x16408))
% 198.08/197.86 [1641]~E(x16411,x16412)+E(f442(x16413,x16414,x16415,x16416,x16417,x16411,x16418),f442(x16413,x16414,x16415,x16416,x16417,x16412,x16418))
% 198.08/197.86 [1642]~E(x16421,x16422)+E(f442(x16423,x16424,x16425,x16426,x16427,x16428,x16421),f442(x16423,x16424,x16425,x16426,x16427,x16428,x16422))
% 198.08/197.86 [1643]~E(x16431,x16432)+E(f704(x16431,x16433,x16434),f704(x16432,x16433,x16434))
% 198.08/197.86 [1644]~E(x16441,x16442)+E(f704(x16443,x16441,x16444),f704(x16443,x16442,x16444))
% 198.08/197.86 [1645]~E(x16451,x16452)+E(f704(x16453,x16454,x16451),f704(x16453,x16454,x16452))
% 198.08/197.86 [1646]~E(x16461,x16462)+E(f271(x16461,x16463),f271(x16462,x16463))
% 198.08/197.86 [1647]~E(x16471,x16472)+E(f271(x16473,x16471),f271(x16473,x16472))
% 198.08/197.86 [1648]~E(x16481,x16482)+E(f600(x16481,x16483,x16484),f600(x16482,x16483,x16484))
% 198.08/197.86 [1649]~E(x16491,x16492)+E(f600(x16493,x16491,x16494),f600(x16493,x16492,x16494))
% 198.08/197.86 [1650]~E(x16501,x16502)+E(f600(x16503,x16504,x16501),f600(x16503,x16504,x16502))
% 198.08/197.86 [1651]~E(x16511,x16512)+E(f701(x16511,x16513,x16514,x16515,x16516),f701(x16512,x16513,x16514,x16515,x16516))
% 198.08/197.86 [1652]~E(x16521,x16522)+E(f701(x16523,x16521,x16524,x16525,x16526),f701(x16523,x16522,x16524,x16525,x16526))
% 198.08/197.86 [1653]~E(x16531,x16532)+E(f701(x16533,x16534,x16531,x16535,x16536),f701(x16533,x16534,x16532,x16535,x16536))
% 198.08/197.86 [1654]~E(x16541,x16542)+E(f701(x16543,x16544,x16545,x16541,x16546),f701(x16543,x16544,x16545,x16542,x16546))
% 198.08/197.86 [1655]~E(x16551,x16552)+E(f701(x16553,x16554,x16555,x16556,x16551),f701(x16553,x16554,x16555,x16556,x16552))
% 198.08/197.86 [1656]~E(x16561,x16562)+E(f291(x16561,x16563),f291(x16562,x16563))
% 198.08/197.86 [1657]~E(x16571,x16572)+E(f291(x16573,x16571),f291(x16573,x16572))
% 198.08/197.86 [1658]~E(x16581,x16582)+E(f434(x16581,x16583,x16584,x16585,x16586),f434(x16582,x16583,x16584,x16585,x16586))
% 198.08/197.86 [1659]~E(x16591,x16592)+E(f434(x16593,x16591,x16594,x16595,x16596),f434(x16593,x16592,x16594,x16595,x16596))
% 198.08/197.86 [1660]~E(x16601,x16602)+E(f434(x16603,x16604,x16601,x16605,x16606),f434(x16603,x16604,x16602,x16605,x16606))
% 198.08/197.86 [1661]~E(x16611,x16612)+E(f434(x16613,x16614,x16615,x16611,x16616),f434(x16613,x16614,x16615,x16612,x16616))
% 198.08/197.86 [1662]~E(x16621,x16622)+E(f434(x16623,x16624,x16625,x16626,x16621),f434(x16623,x16624,x16625,x16626,x16622))
% 198.08/197.86 [1663]~E(x16631,x16632)+E(f567(x16631,x16633,x16634,x16635,x16636,x16637,x16638,x16639),f567(x16632,x16633,x16634,x16635,x16636,x16637,x16638,x16639))
% 198.08/197.86 [1664]~E(x16641,x16642)+E(f567(x16643,x16641,x16644,x16645,x16646,x16647,x16648,x16649),f567(x16643,x16642,x16644,x16645,x16646,x16647,x16648,x16649))
% 198.08/197.86 [1665]~E(x16651,x16652)+E(f567(x16653,x16654,x16651,x16655,x16656,x16657,x16658,x16659),f567(x16653,x16654,x16652,x16655,x16656,x16657,x16658,x16659))
% 198.08/197.86 [1666]~E(x16661,x16662)+E(f567(x16663,x16664,x16665,x16661,x16666,x16667,x16668,x16669),f567(x16663,x16664,x16665,x16662,x16666,x16667,x16668,x16669))
% 198.08/197.86 [1667]~E(x16671,x16672)+E(f567(x16673,x16674,x16675,x16676,x16671,x16677,x16678,x16679),f567(x16673,x16674,x16675,x16676,x16672,x16677,x16678,x16679))
% 198.08/197.86 [1668]~E(x16681,x16682)+E(f567(x16683,x16684,x16685,x16686,x16687,x16681,x16688,x16689),f567(x16683,x16684,x16685,x16686,x16687,x16682,x16688,x16689))
% 198.08/197.86 [1669]~E(x16691,x16692)+E(f567(x16693,x16694,x16695,x16696,x16697,x16698,x16691,x16699),f567(x16693,x16694,x16695,x16696,x16697,x16698,x16692,x16699))
% 198.08/197.86 [1670]~E(x16701,x16702)+E(f567(x16703,x16704,x16705,x16706,x16707,x16708,x16709,x16701),f567(x16703,x16704,x16705,x16706,x16707,x16708,x16709,x16702))
% 198.08/197.86 [1671]~E(x16711,x16712)+E(f140(x16711,x16713,x16714),f140(x16712,x16713,x16714))
% 198.08/197.86 [1672]~E(x16721,x16722)+E(f140(x16723,x16721,x16724),f140(x16723,x16722,x16724))
% 198.08/197.86 [1673]~E(x16731,x16732)+E(f140(x16733,x16734,x16731),f140(x16733,x16734,x16732))
% 198.08/197.86 [1674]~E(x16741,x16742)+E(f374(x16741,x16743,x16744),f374(x16742,x16743,x16744))
% 198.08/197.86 [1675]~E(x16751,x16752)+E(f374(x16753,x16751,x16754),f374(x16753,x16752,x16754))
% 198.08/197.86 [1676]~E(x16761,x16762)+E(f374(x16763,x16764,x16761),f374(x16763,x16764,x16762))
% 198.08/197.86 [1677]~E(x16771,x16772)+E(f809(x16771,x16773,x16774,x16775,x16776),f809(x16772,x16773,x16774,x16775,x16776))
% 198.08/197.86 [1678]~E(x16781,x16782)+E(f809(x16783,x16781,x16784,x16785,x16786),f809(x16783,x16782,x16784,x16785,x16786))
% 198.08/197.86 [1679]~E(x16791,x16792)+E(f809(x16793,x16794,x16791,x16795,x16796),f809(x16793,x16794,x16792,x16795,x16796))
% 198.08/197.86 [1680]~E(x16801,x16802)+E(f809(x16803,x16804,x16805,x16801,x16806),f809(x16803,x16804,x16805,x16802,x16806))
% 198.08/197.86 [1681]~E(x16811,x16812)+E(f809(x16813,x16814,x16815,x16816,x16811),f809(x16813,x16814,x16815,x16816,x16812))
% 198.08/197.86 [1682]~E(x16821,x16822)+E(f196(x16821,x16823,x16824,x16825),f196(x16822,x16823,x16824,x16825))
% 198.08/197.86 [1683]~E(x16831,x16832)+E(f196(x16833,x16831,x16834,x16835),f196(x16833,x16832,x16834,x16835))
% 198.08/197.86 [1684]~E(x16841,x16842)+E(f196(x16843,x16844,x16841,x16845),f196(x16843,x16844,x16842,x16845))
% 198.08/197.86 [1685]~E(x16851,x16852)+E(f196(x16853,x16854,x16855,x16851),f196(x16853,x16854,x16855,x16852))
% 198.08/197.86 [1686]~E(x16861,x16862)+E(f162(x16861,x16863),f162(x16862,x16863))
% 198.08/197.86 [1687]~E(x16871,x16872)+E(f162(x16873,x16871),f162(x16873,x16872))
% 198.08/197.86 [1688]~E(x16881,x16882)+E(f683(x16881,x16883),f683(x16882,x16883))
% 198.08/197.86 [1689]~E(x16891,x16892)+E(f683(x16893,x16891),f683(x16893,x16892))
% 198.08/197.86 [1690]~E(x16901,x16902)+E(f526(x16901,x16903,x16904),f526(x16902,x16903,x16904))
% 198.08/197.86 [1691]~E(x16911,x16912)+E(f526(x16913,x16911,x16914),f526(x16913,x16912,x16914))
% 198.08/197.86 [1692]~E(x16921,x16922)+E(f526(x16923,x16924,x16921),f526(x16923,x16924,x16922))
% 198.08/197.86 [1693]~E(x16931,x16932)+E(f521(x16931,x16933,x16934,x16935,x16936),f521(x16932,x16933,x16934,x16935,x16936))
% 198.08/197.86 [1694]~E(x16941,x16942)+E(f521(x16943,x16941,x16944,x16945,x16946),f521(x16943,x16942,x16944,x16945,x16946))
% 198.08/197.86 [1695]~E(x16951,x16952)+E(f521(x16953,x16954,x16951,x16955,x16956),f521(x16953,x16954,x16952,x16955,x16956))
% 198.08/197.86 [1696]~E(x16961,x16962)+E(f521(x16963,x16964,x16965,x16961,x16966),f521(x16963,x16964,x16965,x16962,x16966))
% 198.08/197.86 [1697]~E(x16971,x16972)+E(f521(x16973,x16974,x16975,x16976,x16971),f521(x16973,x16974,x16975,x16976,x16972))
% 198.08/197.86 [1698]~E(x16981,x16982)+E(f615(x16981,x16983,x16984),f615(x16982,x16983,x16984))
% 198.08/197.86 [1699]~E(x16991,x16992)+E(f615(x16993,x16991,x16994),f615(x16993,x16992,x16994))
% 198.08/197.86 [1700]~E(x17001,x17002)+E(f615(x17003,x17004,x17001),f615(x17003,x17004,x17002))
% 198.08/197.86 [1701]~E(x17011,x17012)+E(f563(x17011,x17013,x17014,x17015,x17016),f563(x17012,x17013,x17014,x17015,x17016))
% 198.08/197.86 [1702]~E(x17021,x17022)+E(f563(x17023,x17021,x17024,x17025,x17026),f563(x17023,x17022,x17024,x17025,x17026))
% 198.08/197.86 [1703]~E(x17031,x17032)+E(f563(x17033,x17034,x17031,x17035,x17036),f563(x17033,x17034,x17032,x17035,x17036))
% 198.08/197.86 [1704]~E(x17041,x17042)+E(f563(x17043,x17044,x17045,x17041,x17046),f563(x17043,x17044,x17045,x17042,x17046))
% 198.08/197.86 [1705]~E(x17051,x17052)+E(f563(x17053,x17054,x17055,x17056,x17051),f563(x17053,x17054,x17055,x17056,x17052))
% 198.08/197.86 [1706]~E(x17061,x17062)+E(f228(x17061,x17063,x17064),f228(x17062,x17063,x17064))
% 198.08/197.86 [1707]~E(x17071,x17072)+E(f228(x17073,x17071,x17074),f228(x17073,x17072,x17074))
% 198.08/197.86 [1708]~E(x17081,x17082)+E(f228(x17083,x17084,x17081),f228(x17083,x17084,x17082))
% 198.08/197.86 [1709]~E(x17091,x17092)+E(f584(x17091,x17093,x17094,x17095),f584(x17092,x17093,x17094,x17095))
% 198.08/197.86 [1710]~E(x17101,x17102)+E(f584(x17103,x17101,x17104,x17105),f584(x17103,x17102,x17104,x17105))
% 198.08/197.86 [1711]~E(x17111,x17112)+E(f584(x17113,x17114,x17111,x17115),f584(x17113,x17114,x17112,x17115))
% 198.08/197.86 [1712]~E(x17121,x17122)+E(f584(x17123,x17124,x17125,x17121),f584(x17123,x17124,x17125,x17122))
% 198.08/197.86 [1713]~E(x17131,x17132)+E(f671(x17131,x17133,x17134),f671(x17132,x17133,x17134))
% 198.08/197.86 [1714]~E(x17141,x17142)+E(f671(x17143,x17141,x17144),f671(x17143,x17142,x17144))
% 198.08/197.86 [1715]~E(x17151,x17152)+E(f671(x17153,x17154,x17151),f671(x17153,x17154,x17152))
% 198.08/197.86 [1716]~E(x17161,x17162)+E(f295(x17161,x17163,x17164),f295(x17162,x17163,x17164))
% 198.08/197.86 [1717]~E(x17171,x17172)+E(f295(x17173,x17171,x17174),f295(x17173,x17172,x17174))
% 198.08/197.86 [1718]~E(x17181,x17182)+E(f295(x17183,x17184,x17181),f295(x17183,x17184,x17182))
% 198.08/197.86 [1719]~E(x17191,x17192)+E(f274(x17191,x17193),f274(x17192,x17193))
% 198.08/197.86 [1720]~E(x17201,x17202)+E(f274(x17203,x17201),f274(x17203,x17202))
% 198.08/197.86 [1721]~E(x17211,x17212)+E(f641(x17211,x17213,x17214,x17215,x17216),f641(x17212,x17213,x17214,x17215,x17216))
% 198.08/197.86 [1722]~E(x17221,x17222)+E(f641(x17223,x17221,x17224,x17225,x17226),f641(x17223,x17222,x17224,x17225,x17226))
% 198.08/197.86 [1723]~E(x17231,x17232)+E(f641(x17233,x17234,x17231,x17235,x17236),f641(x17233,x17234,x17232,x17235,x17236))
% 198.08/197.86 [1724]~E(x17241,x17242)+E(f641(x17243,x17244,x17245,x17241,x17246),f641(x17243,x17244,x17245,x17242,x17246))
% 198.08/197.86 [1725]~E(x17251,x17252)+E(f641(x17253,x17254,x17255,x17256,x17251),f641(x17253,x17254,x17255,x17256,x17252))
% 198.08/197.86 [1726]~E(x17261,x17262)+E(f517(x17261,x17263,x17264,x17265,x17266,x17267,x17268),f517(x17262,x17263,x17264,x17265,x17266,x17267,x17268))
% 198.08/197.86 [1727]~E(x17271,x17272)+E(f517(x17273,x17271,x17274,x17275,x17276,x17277,x17278),f517(x17273,x17272,x17274,x17275,x17276,x17277,x17278))
% 198.08/197.86 [1728]~E(x17281,x17282)+E(f517(x17283,x17284,x17281,x17285,x17286,x17287,x17288),f517(x17283,x17284,x17282,x17285,x17286,x17287,x17288))
% 198.08/197.86 [1729]~E(x17291,x17292)+E(f517(x17293,x17294,x17295,x17291,x17296,x17297,x17298),f517(x17293,x17294,x17295,x17292,x17296,x17297,x17298))
% 198.08/197.86 [1730]~E(x17301,x17302)+E(f517(x17303,x17304,x17305,x17306,x17301,x17307,x17308),f517(x17303,x17304,x17305,x17306,x17302,x17307,x17308))
% 198.08/197.86 [1731]~E(x17311,x17312)+E(f517(x17313,x17314,x17315,x17316,x17317,x17311,x17318),f517(x17313,x17314,x17315,x17316,x17317,x17312,x17318))
% 198.08/197.86 [1732]~E(x17321,x17322)+E(f517(x17323,x17324,x17325,x17326,x17327,x17328,x17321),f517(x17323,x17324,x17325,x17326,x17327,x17328,x17322))
% 198.08/197.86 [1733]~E(x17331,x17332)+E(f828(x17331,x17333,x17334,x17335,x17336,x17337),f828(x17332,x17333,x17334,x17335,x17336,x17337))
% 198.08/197.86 [1734]~E(x17341,x17342)+E(f828(x17343,x17341,x17344,x17345,x17346,x17347),f828(x17343,x17342,x17344,x17345,x17346,x17347))
% 198.08/197.86 [1735]~E(x17351,x17352)+E(f828(x17353,x17354,x17351,x17355,x17356,x17357),f828(x17353,x17354,x17352,x17355,x17356,x17357))
% 198.08/197.86 [1736]~E(x17361,x17362)+E(f828(x17363,x17364,x17365,x17361,x17366,x17367),f828(x17363,x17364,x17365,x17362,x17366,x17367))
% 198.08/197.86 [1737]~E(x17371,x17372)+E(f828(x17373,x17374,x17375,x17376,x17371,x17377),f828(x17373,x17374,x17375,x17376,x17372,x17377))
% 198.08/197.86 [1738]~E(x17381,x17382)+E(f828(x17383,x17384,x17385,x17386,x17387,x17381),f828(x17383,x17384,x17385,x17386,x17387,x17382))
% 198.08/197.86 [1739]~E(x17391,x17392)+E(f460(x17391,x17393,x17394,x17395),f460(x17392,x17393,x17394,x17395))
% 198.08/197.86 [1740]~E(x17401,x17402)+E(f460(x17403,x17401,x17404,x17405),f460(x17403,x17402,x17404,x17405))
% 198.08/197.86 [1741]~E(x17411,x17412)+E(f460(x17413,x17414,x17411,x17415),f460(x17413,x17414,x17412,x17415))
% 198.08/197.86 [1742]~E(x17421,x17422)+E(f460(x17423,x17424,x17425,x17421),f460(x17423,x17424,x17425,x17422))
% 198.08/197.86 [1743]~E(x17431,x17432)+E(f834(x17431,x17433),f834(x17432,x17433))
% 198.08/197.86 [1744]~E(x17441,x17442)+E(f834(x17443,x17441),f834(x17443,x17442))
% 198.08/197.86 [1745]~E(x17451,x17452)+E(f537(x17451,x17453,x17454),f537(x17452,x17453,x17454))
% 198.08/197.86 [1746]~E(x17461,x17462)+E(f537(x17463,x17461,x17464),f537(x17463,x17462,x17464))
% 198.08/197.86 [1747]~E(x17471,x17472)+E(f537(x17473,x17474,x17471),f537(x17473,x17474,x17472))
% 198.08/197.86 [1748]~E(x17481,x17482)+E(f729(x17481,x17483,x17484),f729(x17482,x17483,x17484))
% 198.08/197.86 [1749]~E(x17491,x17492)+E(f729(x17493,x17491,x17494),f729(x17493,x17492,x17494))
% 198.08/197.86 [1750]~E(x17501,x17502)+E(f729(x17503,x17504,x17501),f729(x17503,x17504,x17502))
% 198.08/197.86 [1751]~E(x17511,x17512)+E(f330(x17511,x17513,x17514,x17515),f330(x17512,x17513,x17514,x17515))
% 198.08/197.86 [1752]~E(x17521,x17522)+E(f330(x17523,x17521,x17524,x17525),f330(x17523,x17522,x17524,x17525))
% 198.08/197.86 [1753]~E(x17531,x17532)+E(f330(x17533,x17534,x17531,x17535),f330(x17533,x17534,x17532,x17535))
% 198.08/197.86 [1754]~E(x17541,x17542)+E(f330(x17543,x17544,x17545,x17541),f330(x17543,x17544,x17545,x17542))
% 198.08/197.86 [1755]~E(x17551,x17552)+E(f755(x17551,x17553,x17554,x17555,x17556),f755(x17552,x17553,x17554,x17555,x17556))
% 198.08/197.86 [1756]~E(x17561,x17562)+E(f755(x17563,x17561,x17564,x17565,x17566),f755(x17563,x17562,x17564,x17565,x17566))
% 198.08/197.86 [1757]~E(x17571,x17572)+E(f755(x17573,x17574,x17571,x17575,x17576),f755(x17573,x17574,x17572,x17575,x17576))
% 198.08/197.86 [1758]~E(x17581,x17582)+E(f755(x17583,x17584,x17585,x17581,x17586),f755(x17583,x17584,x17585,x17582,x17586))
% 198.08/197.86 [1759]~E(x17591,x17592)+E(f755(x17593,x17594,x17595,x17596,x17591),f755(x17593,x17594,x17595,x17596,x17592))
% 198.08/197.86 [1760]~E(x17601,x17602)+E(f223(x17601,x17603,x17604,x17605,x17606),f223(x17602,x17603,x17604,x17605,x17606))
% 198.08/197.86 [1761]~E(x17611,x17612)+E(f223(x17613,x17611,x17614,x17615,x17616),f223(x17613,x17612,x17614,x17615,x17616))
% 198.08/197.86 [1762]~E(x17621,x17622)+E(f223(x17623,x17624,x17621,x17625,x17626),f223(x17623,x17624,x17622,x17625,x17626))
% 198.08/197.86 [1763]~E(x17631,x17632)+E(f223(x17633,x17634,x17635,x17631,x17636),f223(x17633,x17634,x17635,x17632,x17636))
% 198.08/197.86 [1764]~E(x17641,x17642)+E(f223(x17643,x17644,x17645,x17646,x17641),f223(x17643,x17644,x17645,x17646,x17642))
% 198.08/197.86 [1765]~E(x17651,x17652)+E(f446(x17651,x17653,x17654,x17655),f446(x17652,x17653,x17654,x17655))
% 198.08/197.86 [1766]~E(x17661,x17662)+E(f446(x17663,x17661,x17664,x17665),f446(x17663,x17662,x17664,x17665))
% 198.08/197.86 [1767]~E(x17671,x17672)+E(f446(x17673,x17674,x17671,x17675),f446(x17673,x17674,x17672,x17675))
% 198.08/197.86 [1768]~E(x17681,x17682)+E(f446(x17683,x17684,x17685,x17681),f446(x17683,x17684,x17685,x17682))
% 198.08/197.86 [1769]~E(x17691,x17692)+E(f335(x17691,x17693),f335(x17692,x17693))
% 198.08/197.86 [1770]~E(x17701,x17702)+E(f335(x17703,x17701),f335(x17703,x17702))
% 198.08/197.86 [1771]~E(x17711,x17712)+E(f759(x17711,x17713,x17714,x17715,x17716,x17717,x17718),f759(x17712,x17713,x17714,x17715,x17716,x17717,x17718))
% 198.08/197.86 [1772]~E(x17721,x17722)+E(f759(x17723,x17721,x17724,x17725,x17726,x17727,x17728),f759(x17723,x17722,x17724,x17725,x17726,x17727,x17728))
% 198.08/197.86 [1773]~E(x17731,x17732)+E(f759(x17733,x17734,x17731,x17735,x17736,x17737,x17738),f759(x17733,x17734,x17732,x17735,x17736,x17737,x17738))
% 198.08/197.86 [1774]~E(x17741,x17742)+E(f759(x17743,x17744,x17745,x17741,x17746,x17747,x17748),f759(x17743,x17744,x17745,x17742,x17746,x17747,x17748))
% 198.08/197.86 [1775]~E(x17751,x17752)+E(f759(x17753,x17754,x17755,x17756,x17751,x17757,x17758),f759(x17753,x17754,x17755,x17756,x17752,x17757,x17758))
% 198.08/197.86 [1776]~E(x17761,x17762)+E(f759(x17763,x17764,x17765,x17766,x17767,x17761,x17768),f759(x17763,x17764,x17765,x17766,x17767,x17762,x17768))
% 198.08/197.86 [1777]~E(x17771,x17772)+E(f759(x17773,x17774,x17775,x17776,x17777,x17778,x17771),f759(x17773,x17774,x17775,x17776,x17777,x17778,x17772))
% 198.08/197.86 [1778]~E(x17781,x17782)+E(f247(x17781,x17783),f247(x17782,x17783))
% 198.08/197.86 [1779]~E(x17791,x17792)+E(f247(x17793,x17791),f247(x17793,x17792))
% 198.08/197.86 [1780]~E(x17801,x17802)+E(f557(x17801,x17803,x17804),f557(x17802,x17803,x17804))
% 198.08/197.86 [1781]~E(x17811,x17812)+E(f557(x17813,x17811,x17814),f557(x17813,x17812,x17814))
% 198.08/197.86 [1782]~E(x17821,x17822)+E(f557(x17823,x17824,x17821),f557(x17823,x17824,x17822))
% 198.08/197.86 [1783]~E(x17831,x17832)+E(f674(x17831,x17833,x17834,x17835),f674(x17832,x17833,x17834,x17835))
% 198.08/197.86 [1784]~E(x17841,x17842)+E(f674(x17843,x17841,x17844,x17845),f674(x17843,x17842,x17844,x17845))
% 198.08/197.86 [1785]~E(x17851,x17852)+E(f674(x17853,x17854,x17851,x17855),f674(x17853,x17854,x17852,x17855))
% 198.08/197.86 [1786]~E(x17861,x17862)+E(f674(x17863,x17864,x17865,x17861),f674(x17863,x17864,x17865,x17862))
% 198.08/197.86 [1787]~E(x17871,x17872)+E(f768(x17871,x17873,x17874,x17875,x17876),f768(x17872,x17873,x17874,x17875,x17876))
% 198.08/197.86 [1788]~E(x17881,x17882)+E(f768(x17883,x17881,x17884,x17885,x17886),f768(x17883,x17882,x17884,x17885,x17886))
% 198.08/197.86 [1789]~E(x17891,x17892)+E(f768(x17893,x17894,x17891,x17895,x17896),f768(x17893,x17894,x17892,x17895,x17896))
% 198.08/197.86 [1790]~E(x17901,x17902)+E(f768(x17903,x17904,x17905,x17901,x17906),f768(x17903,x17904,x17905,x17902,x17906))
% 198.08/197.86 [1791]~E(x17911,x17912)+E(f768(x17913,x17914,x17915,x17916,x17911),f768(x17913,x17914,x17915,x17916,x17912))
% 198.08/197.86 [1792]~E(x17921,x17922)+E(f802(x17921,x17923,x17924,x17925,x17926,x17927,x17928),f802(x17922,x17923,x17924,x17925,x17926,x17927,x17928))
% 198.08/197.86 [1793]~E(x17931,x17932)+E(f802(x17933,x17931,x17934,x17935,x17936,x17937,x17938),f802(x17933,x17932,x17934,x17935,x17936,x17937,x17938))
% 198.08/197.86 [1794]~E(x17941,x17942)+E(f802(x17943,x17944,x17941,x17945,x17946,x17947,x17948),f802(x17943,x17944,x17942,x17945,x17946,x17947,x17948))
% 198.08/197.86 [1795]~E(x17951,x17952)+E(f802(x17953,x17954,x17955,x17951,x17956,x17957,x17958),f802(x17953,x17954,x17955,x17952,x17956,x17957,x17958))
% 198.08/197.86 [1796]~E(x17961,x17962)+E(f802(x17963,x17964,x17965,x17966,x17961,x17967,x17968),f802(x17963,x17964,x17965,x17966,x17962,x17967,x17968))
% 198.08/197.86 [1797]~E(x17971,x17972)+E(f802(x17973,x17974,x17975,x17976,x17977,x17971,x17978),f802(x17973,x17974,x17975,x17976,x17977,x17972,x17978))
% 198.08/197.86 [1798]~E(x17981,x17982)+E(f802(x17983,x17984,x17985,x17986,x17987,x17988,x17981),f802(x17983,x17984,x17985,x17986,x17987,x17988,x17982))
% 198.08/197.86 [1799]~E(x17991,x17992)+E(f737(x17991,x17993),f737(x17992,x17993))
% 198.08/197.86 [1800]~E(x18001,x18002)+E(f737(x18003,x18001),f737(x18003,x18002))
% 198.08/197.86 [1801]~E(x18011,x18012)+E(f789(x18011,x18013,x18014,x18015),f789(x18012,x18013,x18014,x18015))
% 198.08/197.86 [1802]~E(x18021,x18022)+E(f789(x18023,x18021,x18024,x18025),f789(x18023,x18022,x18024,x18025))
% 198.08/197.86 [1803]~E(x18031,x18032)+E(f789(x18033,x18034,x18031,x18035),f789(x18033,x18034,x18032,x18035))
% 198.08/197.86 [1804]~E(x18041,x18042)+E(f789(x18043,x18044,x18045,x18041),f789(x18043,x18044,x18045,x18042))
% 198.08/197.86 [1805]~E(x18051,x18052)+E(f382(x18051,x18053,x18054),f382(x18052,x18053,x18054))
% 198.08/197.86 [1806]~E(x18061,x18062)+E(f382(x18063,x18061,x18064),f382(x18063,x18062,x18064))
% 198.08/197.86 [1807]~E(x18071,x18072)+E(f382(x18073,x18074,x18071),f382(x18073,x18074,x18072))
% 198.08/197.86 [1808]~E(x18081,x18082)+E(f332(x18081,x18083),f332(x18082,x18083))
% 198.08/197.86 [1809]~E(x18091,x18092)+E(f332(x18093,x18091),f332(x18093,x18092))
% 198.08/197.86 [1810]~E(x18101,x18102)+E(f781(x18101,x18103,x18104),f781(x18102,x18103,x18104))
% 198.08/197.86 [1811]~E(x18111,x18112)+E(f781(x18113,x18111,x18114),f781(x18113,x18112,x18114))
% 198.08/197.86 [1812]~E(x18121,x18122)+E(f781(x18123,x18124,x18121),f781(x18123,x18124,x18122))
% 198.08/197.86 [1813]~E(x18131,x18132)+E(f552(x18131,x18133,x18134,x18135,x18136),f552(x18132,x18133,x18134,x18135,x18136))
% 198.08/197.86 [1814]~E(x18141,x18142)+E(f552(x18143,x18141,x18144,x18145,x18146),f552(x18143,x18142,x18144,x18145,x18146))
% 198.08/197.86 [1815]~E(x18151,x18152)+E(f552(x18153,x18154,x18151,x18155,x18156),f552(x18153,x18154,x18152,x18155,x18156))
% 198.08/197.86 [1816]~E(x18161,x18162)+E(f552(x18163,x18164,x18165,x18161,x18166),f552(x18163,x18164,x18165,x18162,x18166))
% 198.08/197.86 [1817]~E(x18171,x18172)+E(f552(x18173,x18174,x18175,x18176,x18171),f552(x18173,x18174,x18175,x18176,x18172))
% 198.08/197.86 [1818]~E(x18181,x18182)+E(f757(x18181,x18183,x18184,x18185,x18186),f757(x18182,x18183,x18184,x18185,x18186))
% 198.08/197.86 [1819]~E(x18191,x18192)+E(f757(x18193,x18191,x18194,x18195,x18196),f757(x18193,x18192,x18194,x18195,x18196))
% 198.08/197.86 [1820]~E(x18201,x18202)+E(f757(x18203,x18204,x18201,x18205,x18206),f757(x18203,x18204,x18202,x18205,x18206))
% 198.08/197.86 [1821]~E(x18211,x18212)+E(f757(x18213,x18214,x18215,x18211,x18216),f757(x18213,x18214,x18215,x18212,x18216))
% 198.08/197.86 [1822]~E(x18221,x18222)+E(f757(x18223,x18224,x18225,x18226,x18221),f757(x18223,x18224,x18225,x18226,x18222))
% 198.08/197.86 [1823]~E(x18231,x18232)+E(f376(x18231,x18233,x18234),f376(x18232,x18233,x18234))
% 198.08/197.86 [1824]~E(x18241,x18242)+E(f376(x18243,x18241,x18244),f376(x18243,x18242,x18244))
% 198.08/197.86 [1825]~E(x18251,x18252)+E(f376(x18253,x18254,x18251),f376(x18253,x18254,x18252))
% 198.08/197.86 [1826]~E(x18261,x18262)+E(f667(x18261,x18263,x18264,x18265),f667(x18262,x18263,x18264,x18265))
% 198.08/197.86 [1827]~E(x18271,x18272)+E(f667(x18273,x18271,x18274,x18275),f667(x18273,x18272,x18274,x18275))
% 198.08/197.86 [1828]~E(x18281,x18282)+E(f667(x18283,x18284,x18281,x18285),f667(x18283,x18284,x18282,x18285))
% 198.08/197.86 [1829]~E(x18291,x18292)+E(f667(x18293,x18294,x18295,x18291),f667(x18293,x18294,x18295,x18292))
% 198.08/197.86 [1830]~E(x18301,x18302)+E(f127(x18301,x18303,x18304,x18305,x18306),f127(x18302,x18303,x18304,x18305,x18306))
% 198.08/197.86 [1831]~E(x18311,x18312)+E(f127(x18313,x18311,x18314,x18315,x18316),f127(x18313,x18312,x18314,x18315,x18316))
% 198.08/197.86 [1832]~E(x18321,x18322)+E(f127(x18323,x18324,x18321,x18325,x18326),f127(x18323,x18324,x18322,x18325,x18326))
% 198.08/197.86 [1833]~E(x18331,x18332)+E(f127(x18333,x18334,x18335,x18331,x18336),f127(x18333,x18334,x18335,x18332,x18336))
% 198.08/197.86 [1834]~E(x18341,x18342)+E(f127(x18343,x18344,x18345,x18346,x18341),f127(x18343,x18344,x18345,x18346,x18342))
% 198.08/197.86 [1835]~E(x18351,x18352)+E(f380(x18351,x18353,x18354),f380(x18352,x18353,x18354))
% 198.08/197.86 [1836]~E(x18361,x18362)+E(f380(x18363,x18361,x18364),f380(x18363,x18362,x18364))
% 198.08/197.86 [1837]~E(x18371,x18372)+E(f380(x18373,x18374,x18371),f380(x18373,x18374,x18372))
% 198.08/197.86 [1838]~E(x18381,x18382)+E(f512(x18381,x18383,x18384),f512(x18382,x18383,x18384))
% 198.08/197.86 [1839]~E(x18391,x18392)+E(f512(x18393,x18391,x18394),f512(x18393,x18392,x18394))
% 198.08/197.86 [1840]~E(x18401,x18402)+E(f512(x18403,x18404,x18401),f512(x18403,x18404,x18402))
% 198.08/197.86 [1841]~E(x18411,x18412)+E(f273(x18411,x18413,x18414),f273(x18412,x18413,x18414))
% 198.08/197.86 [1842]~E(x18421,x18422)+E(f273(x18423,x18421,x18424),f273(x18423,x18422,x18424))
% 198.08/197.86 [1843]~E(x18431,x18432)+E(f273(x18433,x18434,x18431),f273(x18433,x18434,x18432))
% 198.08/197.86 [1844]~E(x18441,x18442)+E(f891(x18441,x18443,x18444),f891(x18442,x18443,x18444))
% 198.08/197.86 [1845]~E(x18451,x18452)+E(f891(x18453,x18451,x18454),f891(x18453,x18452,x18454))
% 198.08/197.86 [1846]~E(x18461,x18462)+E(f891(x18463,x18464,x18461),f891(x18463,x18464,x18462))
% 198.08/197.86 [1847]~E(x18471,x18472)+E(f712(x18471,x18473,x18474,x18475,x18476),f712(x18472,x18473,x18474,x18475,x18476))
% 198.08/197.86 [1848]~E(x18481,x18482)+E(f712(x18483,x18481,x18484,x18485,x18486),f712(x18483,x18482,x18484,x18485,x18486))
% 198.08/197.86 [1849]~E(x18491,x18492)+E(f712(x18493,x18494,x18491,x18495,x18496),f712(x18493,x18494,x18492,x18495,x18496))
% 198.08/197.86 [1850]~E(x18501,x18502)+E(f712(x18503,x18504,x18505,x18501,x18506),f712(x18503,x18504,x18505,x18502,x18506))
% 198.08/197.86 [1851]~E(x18511,x18512)+E(f712(x18513,x18514,x18515,x18516,x18511),f712(x18513,x18514,x18515,x18516,x18512))
% 198.08/197.86 [1852]~E(x18521,x18522)+E(f692(x18521,x18523,x18524,x18525,x18526),f692(x18522,x18523,x18524,x18525,x18526))
% 198.08/197.86 [1853]~E(x18531,x18532)+E(f692(x18533,x18531,x18534,x18535,x18536),f692(x18533,x18532,x18534,x18535,x18536))
% 198.08/197.86 [1854]~E(x18541,x18542)+E(f692(x18543,x18544,x18541,x18545,x18546),f692(x18543,x18544,x18542,x18545,x18546))
% 198.08/197.86 [1855]~E(x18551,x18552)+E(f692(x18553,x18554,x18555,x18551,x18556),f692(x18553,x18554,x18555,x18552,x18556))
% 198.08/197.86 [1856]~E(x18561,x18562)+E(f692(x18563,x18564,x18565,x18566,x18561),f692(x18563,x18564,x18565,x18566,x18562))
% 198.08/197.86 [1857]~E(x18571,x18572)+E(f591(x18571),f591(x18572))
% 198.08/197.86 [1858]~E(x18581,x18582)+E(f626(x18581,x18583),f626(x18582,x18583))
% 198.08/197.86 [1859]~E(x18591,x18592)+E(f626(x18593,x18591),f626(x18593,x18592))
% 198.08/197.86 [1860]~E(x18601,x18602)+E(f670(x18601,x18603,x18604,x18605,x18606),f670(x18602,x18603,x18604,x18605,x18606))
% 198.08/197.86 [1861]~E(x18611,x18612)+E(f670(x18613,x18611,x18614,x18615,x18616),f670(x18613,x18612,x18614,x18615,x18616))
% 198.08/197.86 [1862]~E(x18621,x18622)+E(f670(x18623,x18624,x18621,x18625,x18626),f670(x18623,x18624,x18622,x18625,x18626))
% 198.08/197.86 [1863]~E(x18631,x18632)+E(f670(x18633,x18634,x18635,x18631,x18636),f670(x18633,x18634,x18635,x18632,x18636))
% 198.08/197.86 [1864]~E(x18641,x18642)+E(f670(x18643,x18644,x18645,x18646,x18641),f670(x18643,x18644,x18645,x18646,x18642))
% 198.08/197.86 [1865]~E(x18651,x18652)+E(f833(x18651,x18653,x18654),f833(x18652,x18653,x18654))
% 198.08/197.86 [1866]~E(x18661,x18662)+E(f833(x18663,x18661,x18664),f833(x18663,x18662,x18664))
% 198.08/197.86 [1867]~E(x18671,x18672)+E(f833(x18673,x18674,x18671),f833(x18673,x18674,x18672))
% 198.08/197.86 [1868]~E(x18681,x18682)+E(f363(x18681,x18683,x18684),f363(x18682,x18683,x18684))
% 198.08/197.86 [1869]~E(x18691,x18692)+E(f363(x18693,x18691,x18694),f363(x18693,x18692,x18694))
% 198.08/197.86 [1870]~E(x18701,x18702)+E(f363(x18703,x18704,x18701),f363(x18703,x18704,x18702))
% 198.08/197.86 [1871]~E(x18711,x18712)+E(f130(x18711,x18713,x18714,x18715),f130(x18712,x18713,x18714,x18715))
% 198.08/197.86 [1872]~E(x18721,x18722)+E(f130(x18723,x18721,x18724,x18725),f130(x18723,x18722,x18724,x18725))
% 198.08/197.86 [1873]~E(x18731,x18732)+E(f130(x18733,x18734,x18731,x18735),f130(x18733,x18734,x18732,x18735))
% 198.08/197.86 [1874]~E(x18741,x18742)+E(f130(x18743,x18744,x18745,x18741),f130(x18743,x18744,x18745,x18742))
% 198.08/197.86 [1875]~E(x18751,x18752)+E(f472(x18751,x18753,x18754,x18755),f472(x18752,x18753,x18754,x18755))
% 198.08/197.86 [1876]~E(x18761,x18762)+E(f472(x18763,x18761,x18764,x18765),f472(x18763,x18762,x18764,x18765))
% 198.08/197.86 [1877]~E(x18771,x18772)+E(f472(x18773,x18774,x18771,x18775),f472(x18773,x18774,x18772,x18775))
% 198.08/197.86 [1878]~E(x18781,x18782)+E(f472(x18783,x18784,x18785,x18781),f472(x18783,x18784,x18785,x18782))
% 198.08/197.86 [1879]~E(x18791,x18792)+E(f481(x18791,x18793,x18794,x18795,x18796),f481(x18792,x18793,x18794,x18795,x18796))
% 198.08/197.86 [1880]~E(x18801,x18802)+E(f481(x18803,x18801,x18804,x18805,x18806),f481(x18803,x18802,x18804,x18805,x18806))
% 198.08/197.86 [1881]~E(x18811,x18812)+E(f481(x18813,x18814,x18811,x18815,x18816),f481(x18813,x18814,x18812,x18815,x18816))
% 198.08/197.86 [1882]~E(x18821,x18822)+E(f481(x18823,x18824,x18825,x18821,x18826),f481(x18823,x18824,x18825,x18822,x18826))
% 198.08/197.86 [1883]~E(x18831,x18832)+E(f481(x18833,x18834,x18835,x18836,x18831),f481(x18833,x18834,x18835,x18836,x18832))
% 198.08/197.86 [1884]~E(x18841,x18842)+E(f387(x18841,x18843,x18844),f387(x18842,x18843,x18844))
% 198.08/197.86 [1885]~E(x18851,x18852)+E(f387(x18853,x18851,x18854),f387(x18853,x18852,x18854))
% 198.08/197.86 [1886]~E(x18861,x18862)+E(f387(x18863,x18864,x18861),f387(x18863,x18864,x18862))
% 198.08/197.86 [1887]~E(x18871,x18872)+E(f399(x18871,x18873,x18874),f399(x18872,x18873,x18874))
% 198.08/197.86 [1888]~E(x18881,x18882)+E(f399(x18883,x18881,x18884),f399(x18883,x18882,x18884))
% 198.08/197.86 [1889]~E(x18891,x18892)+E(f399(x18893,x18894,x18891),f399(x18893,x18894,x18892))
% 198.08/197.86 [1890]~E(x18901,x18902)+E(f680(x18901,x18903,x18904,x18905),f680(x18902,x18903,x18904,x18905))
% 198.08/197.86 [1891]~E(x18911,x18912)+E(f680(x18913,x18911,x18914,x18915),f680(x18913,x18912,x18914,x18915))
% 198.08/197.86 [1892]~E(x18921,x18922)+E(f680(x18923,x18924,x18921,x18925),f680(x18923,x18924,x18922,x18925))
% 198.08/197.86 [1893]~E(x18931,x18932)+E(f680(x18933,x18934,x18935,x18931),f680(x18933,x18934,x18935,x18932))
% 198.08/197.86 [1894]~E(x18941,x18942)+E(f122(x18941,x18943,x18944,x18945),f122(x18942,x18943,x18944,x18945))
% 198.08/197.86 [1895]~E(x18951,x18952)+E(f122(x18953,x18951,x18954,x18955),f122(x18953,x18952,x18954,x18955))
% 198.08/197.86 [1896]~E(x18961,x18962)+E(f122(x18963,x18964,x18961,x18965),f122(x18963,x18964,x18962,x18965))
% 198.08/197.86 [1897]~E(x18971,x18972)+E(f122(x18973,x18974,x18975,x18971),f122(x18973,x18974,x18975,x18972))
% 198.08/197.86 [1898]~E(x18981,x18982)+E(f614(x18981,x18983,x18984),f614(x18982,x18983,x18984))
% 198.08/197.86 [1899]~E(x18991,x18992)+E(f614(x18993,x18991,x18994),f614(x18993,x18992,x18994))
% 198.08/197.86 [1900]~E(x19001,x19002)+E(f614(x19003,x19004,x19001),f614(x19003,x19004,x19002))
% 198.08/197.86 [1901]~E(x19011,x19012)+E(f722(x19011,x19013,x19014),f722(x19012,x19013,x19014))
% 198.08/197.86 [1902]~E(x19021,x19022)+E(f722(x19023,x19021,x19024),f722(x19023,x19022,x19024))
% 198.08/197.86 [1903]~E(x19031,x19032)+E(f722(x19033,x19034,x19031),f722(x19033,x19034,x19032))
% 198.08/197.86 [1904]~E(x19041,x19042)+E(f730(x19041,x19043,x19044),f730(x19042,x19043,x19044))
% 198.08/197.86 [1905]~E(x19051,x19052)+E(f730(x19053,x19051,x19054),f730(x19053,x19052,x19054))
% 198.08/197.86 [1906]~E(x19061,x19062)+E(f730(x19063,x19064,x19061),f730(x19063,x19064,x19062))
% 198.08/197.86 [1907]~E(x19071,x19072)+E(f643(x19071,x19073,x19074,x19075,x19076),f643(x19072,x19073,x19074,x19075,x19076))
% 198.08/197.86 [1908]~E(x19081,x19082)+E(f643(x19083,x19081,x19084,x19085,x19086),f643(x19083,x19082,x19084,x19085,x19086))
% 198.08/197.86 [1909]~E(x19091,x19092)+E(f643(x19093,x19094,x19091,x19095,x19096),f643(x19093,x19094,x19092,x19095,x19096))
% 198.08/197.86 [1910]~E(x19101,x19102)+E(f643(x19103,x19104,x19105,x19101,x19106),f643(x19103,x19104,x19105,x19102,x19106))
% 198.08/197.86 [1911]~E(x19111,x19112)+E(f643(x19113,x19114,x19115,x19116,x19111),f643(x19113,x19114,x19115,x19116,x19112))
% 198.08/197.86 [1912]~E(x19121,x19122)+E(f95(x19121,x19123,x19124,x19125),f95(x19122,x19123,x19124,x19125))
% 198.08/197.86 [1913]~E(x19131,x19132)+E(f95(x19133,x19131,x19134,x19135),f95(x19133,x19132,x19134,x19135))
% 198.08/197.86 [1914]~E(x19141,x19142)+E(f95(x19143,x19144,x19141,x19145),f95(x19143,x19144,x19142,x19145))
% 198.08/197.86 [1915]~E(x19151,x19152)+E(f95(x19153,x19154,x19155,x19151),f95(x19153,x19154,x19155,x19152))
% 198.08/197.86 [1916]~E(x19161,x19162)+E(f529(x19161,x19163,x19164),f529(x19162,x19163,x19164))
% 198.08/197.86 [1917]~E(x19171,x19172)+E(f529(x19173,x19171,x19174),f529(x19173,x19172,x19174))
% 198.08/197.86 [1918]~E(x19181,x19182)+E(f529(x19183,x19184,x19181),f529(x19183,x19184,x19182))
% 198.08/197.86 [1919]~E(x19191,x19192)+E(f589(x19191,x19193,x19194,x19195),f589(x19192,x19193,x19194,x19195))
% 198.08/197.86 [1920]~E(x19201,x19202)+E(f589(x19203,x19201,x19204,x19205),f589(x19203,x19202,x19204,x19205))
% 198.08/197.86 [1921]~E(x19211,x19212)+E(f589(x19213,x19214,x19211,x19215),f589(x19213,x19214,x19212,x19215))
% 198.08/197.86 [1922]~E(x19221,x19222)+E(f589(x19223,x19224,x19225,x19221),f589(x19223,x19224,x19225,x19222))
% 198.08/197.86 [1923]~E(x19231,x19232)+E(f665(x19231,x19233,x19234),f665(x19232,x19233,x19234))
% 198.08/197.86 [1924]~E(x19241,x19242)+E(f665(x19243,x19241,x19244),f665(x19243,x19242,x19244))
% 198.08/197.86 [1925]~E(x19251,x19252)+E(f665(x19253,x19254,x19251),f665(x19253,x19254,x19252))
% 198.08/197.86 [1926]~E(x19261,x19262)+E(f131(x19261,x19263,x19264,x19265),f131(x19262,x19263,x19264,x19265))
% 198.08/197.86 [1927]~E(x19271,x19272)+E(f131(x19273,x19271,x19274,x19275),f131(x19273,x19272,x19274,x19275))
% 198.08/197.86 [1928]~E(x19281,x19282)+E(f131(x19283,x19284,x19281,x19285),f131(x19283,x19284,x19282,x19285))
% 198.08/197.86 [1929]~E(x19291,x19292)+E(f131(x19293,x19294,x19295,x19291),f131(x19293,x19294,x19295,x19292))
% 198.08/197.86 [1930]~E(x19301,x19302)+E(f907(x19301,x19303,x19304,x19305,x19306,x19307),f907(x19302,x19303,x19304,x19305,x19306,x19307))
% 198.08/197.86 [1931]~E(x19311,x19312)+E(f907(x19313,x19311,x19314,x19315,x19316,x19317),f907(x19313,x19312,x19314,x19315,x19316,x19317))
% 198.08/197.86 [1932]~E(x19321,x19322)+E(f907(x19323,x19324,x19321,x19325,x19326,x19327),f907(x19323,x19324,x19322,x19325,x19326,x19327))
% 198.08/197.86 [1933]~E(x19331,x19332)+E(f907(x19333,x19334,x19335,x19331,x19336,x19337),f907(x19333,x19334,x19335,x19332,x19336,x19337))
% 198.08/197.86 [1934]~E(x19341,x19342)+E(f907(x19343,x19344,x19345,x19346,x19341,x19347),f907(x19343,x19344,x19345,x19346,x19342,x19347))
% 198.08/197.86 [1935]~E(x19351,x19352)+E(f907(x19353,x19354,x19355,x19356,x19357,x19351),f907(x19353,x19354,x19355,x19356,x19357,x19352))
% 198.08/197.86 [1936]~E(x19361,x19362)+E(f900(x19361,x19363),f900(x19362,x19363))
% 198.08/197.86 [1937]~E(x19371,x19372)+E(f900(x19373,x19371),f900(x19373,x19372))
% 198.08/197.86 [1938]~E(x19381,x19382)+E(f184(x19381,x19383,x19384),f184(x19382,x19383,x19384))
% 198.08/197.86 [1939]~E(x19391,x19392)+E(f184(x19393,x19391,x19394),f184(x19393,x19392,x19394))
% 198.08/197.86 [1940]~E(x19401,x19402)+E(f184(x19403,x19404,x19401),f184(x19403,x19404,x19402))
% 198.08/197.86 [1941]~E(x19411,x19412)+E(f636(x19411,x19413,x19414),f636(x19412,x19413,x19414))
% 198.08/197.86 [1942]~E(x19421,x19422)+E(f636(x19423,x19421,x19424),f636(x19423,x19422,x19424))
% 198.08/197.86 [1943]~E(x19431,x19432)+E(f636(x19433,x19434,x19431),f636(x19433,x19434,x19432))
% 198.08/197.86 [1944]~E(x19441,x19442)+E(f677(x19441,x19443,x19444,x19445),f677(x19442,x19443,x19444,x19445))
% 198.08/197.86 [1945]~E(x19451,x19452)+E(f677(x19453,x19451,x19454,x19455),f677(x19453,x19452,x19454,x19455))
% 198.08/197.86 [1946]~E(x19461,x19462)+E(f677(x19463,x19464,x19461,x19465),f677(x19463,x19464,x19462,x19465))
% 198.08/197.86 [1947]~E(x19471,x19472)+E(f677(x19473,x19474,x19475,x19471),f677(x19473,x19474,x19475,x19472))
% 198.08/197.86 [1948]~E(x19481,x19482)+E(f863(x19481,x19483,x19484),f863(x19482,x19483,x19484))
% 198.08/197.86 [1949]~E(x19491,x19492)+E(f863(x19493,x19491,x19494),f863(x19493,x19492,x19494))
% 198.08/197.86 [1950]~E(x19501,x19502)+E(f863(x19503,x19504,x19501),f863(x19503,x19504,x19502))
% 198.08/197.86 [1951]~E(x19511,x19512)+E(f467(x19511,x19513),f467(x19512,x19513))
% 198.08/197.86 [1952]~E(x19521,x19522)+E(f467(x19523,x19521),f467(x19523,x19522))
% 198.08/197.86 [1953]~E(x19531,x19532)+E(f751(x19531,x19533),f751(x19532,x19533))
% 198.08/197.86 [1954]~E(x19541,x19542)+E(f751(x19543,x19541),f751(x19543,x19542))
% 198.08/197.86 [1955]~E(x19551,x19552)+E(f868(x19551,x19553,x19554,x19555,x19556,x19557,x19558),f868(x19552,x19553,x19554,x19555,x19556,x19557,x19558))
% 198.08/197.86 [1956]~E(x19561,x19562)+E(f868(x19563,x19561,x19564,x19565,x19566,x19567,x19568),f868(x19563,x19562,x19564,x19565,x19566,x19567,x19568))
% 198.08/197.86 [1957]~E(x19571,x19572)+E(f868(x19573,x19574,x19571,x19575,x19576,x19577,x19578),f868(x19573,x19574,x19572,x19575,x19576,x19577,x19578))
% 198.08/197.86 [1958]~E(x19581,x19582)+E(f868(x19583,x19584,x19585,x19581,x19586,x19587,x19588),f868(x19583,x19584,x19585,x19582,x19586,x19587,x19588))
% 198.08/197.86 [1959]~E(x19591,x19592)+E(f868(x19593,x19594,x19595,x19596,x19591,x19597,x19598),f868(x19593,x19594,x19595,x19596,x19592,x19597,x19598))
% 198.08/197.86 [1960]~E(x19601,x19602)+E(f868(x19603,x19604,x19605,x19606,x19607,x19601,x19608),f868(x19603,x19604,x19605,x19606,x19607,x19602,x19608))
% 198.08/197.86 [1961]~E(x19611,x19612)+E(f868(x19613,x19614,x19615,x19616,x19617,x19618,x19611),f868(x19613,x19614,x19615,x19616,x19617,x19618,x19612))
% 198.08/197.86 [1962]~E(x19621,x19622)+E(f783(x19621,x19623,x19624,x19625),f783(x19622,x19623,x19624,x19625))
% 198.08/197.86 [1963]~E(x19631,x19632)+E(f783(x19633,x19631,x19634,x19635),f783(x19633,x19632,x19634,x19635))
% 198.08/197.86 [1964]~E(x19641,x19642)+E(f783(x19643,x19644,x19641,x19645),f783(x19643,x19644,x19642,x19645))
% 198.08/197.86 [1965]~E(x19651,x19652)+E(f783(x19653,x19654,x19655,x19651),f783(x19653,x19654,x19655,x19652))
% 198.08/197.86 [1966]~E(x19661,x19662)+E(f587(x19661,x19663,x19664,x19665),f587(x19662,x19663,x19664,x19665))
% 198.08/197.86 [1967]~E(x19671,x19672)+E(f587(x19673,x19671,x19674,x19675),f587(x19673,x19672,x19674,x19675))
% 198.08/197.86 [1968]~E(x19681,x19682)+E(f587(x19683,x19684,x19681,x19685),f587(x19683,x19684,x19682,x19685))
% 198.08/197.86 [1969]~E(x19691,x19692)+E(f587(x19693,x19694,x19695,x19691),f587(x19693,x19694,x19695,x19692))
% 198.08/197.86 [1970]~E(x19701,x19702)+E(f731(x19701,x19703,x19704),f731(x19702,x19703,x19704))
% 198.08/197.86 [1971]~E(x19711,x19712)+E(f731(x19713,x19711,x19714),f731(x19713,x19712,x19714))
% 198.08/197.86 [1972]~E(x19721,x19722)+E(f731(x19723,x19724,x19721),f731(x19723,x19724,x19722))
% 198.08/197.86 [1973]~E(x19731,x19732)+E(f381(x19731,x19733,x19734,x19735),f381(x19732,x19733,x19734,x19735))
% 198.08/197.86 [1974]~E(x19741,x19742)+E(f381(x19743,x19741,x19744,x19745),f381(x19743,x19742,x19744,x19745))
% 198.08/197.86 [1975]~E(x19751,x19752)+E(f381(x19753,x19754,x19751,x19755),f381(x19753,x19754,x19752,x19755))
% 198.08/197.86 [1976]~E(x19761,x19762)+E(f381(x19763,x19764,x19765,x19761),f381(x19763,x19764,x19765,x19762))
% 198.08/197.86 [1977]~E(x19771,x19772)+E(f916(x19771,x19773,x19774),f916(x19772,x19773,x19774))
% 198.08/197.86 [1978]~E(x19781,x19782)+E(f916(x19783,x19781,x19784),f916(x19783,x19782,x19784))
% 198.08/197.86 [1979]~E(x19791,x19792)+E(f916(x19793,x19794,x19791),f916(x19793,x19794,x19792))
% 198.08/197.86 [1980]~E(x19801,x19802)+E(f805(x19801,x19803,x19804,x19805),f805(x19802,x19803,x19804,x19805))
% 198.08/197.86 [1981]~E(x19811,x19812)+E(f805(x19813,x19811,x19814,x19815),f805(x19813,x19812,x19814,x19815))
% 198.08/197.86 [1982]~E(x19821,x19822)+E(f805(x19823,x19824,x19821,x19825),f805(x19823,x19824,x19822,x19825))
% 198.08/197.86 [1983]~E(x19831,x19832)+E(f805(x19833,x19834,x19835,x19831),f805(x19833,x19834,x19835,x19832))
% 198.08/197.86 [1984]~E(x19841,x19842)+E(f385(x19841,x19843,x19844),f385(x19842,x19843,x19844))
% 198.08/197.86 [1985]~E(x19851,x19852)+E(f385(x19853,x19851,x19854),f385(x19853,x19852,x19854))
% 198.08/197.86 [1986]~E(x19861,x19862)+E(f385(x19863,x19864,x19861),f385(x19863,x19864,x19862))
% 198.08/197.86 [1987]~E(x19871,x19872)+E(f201(x19871),f201(x19872))
% 198.08/197.86 [1988]~E(x19881,x19882)+E(f550(x19881,x19883,x19884,x19885),f550(x19882,x19883,x19884,x19885))
% 198.08/197.86 [1989]~E(x19891,x19892)+E(f550(x19893,x19891,x19894,x19895),f550(x19893,x19892,x19894,x19895))
% 198.08/197.86 [1990]~E(x19901,x19902)+E(f550(x19903,x19904,x19901,x19905),f550(x19903,x19904,x19902,x19905))
% 198.08/197.86 [1991]~E(x19911,x19912)+E(f550(x19913,x19914,x19915,x19911),f550(x19913,x19914,x19915,x19912))
% 198.08/197.86 [1992]~E(x19921,x19922)+E(f760(x19921,x19923,x19924,x19925,x19926,x19927,x19928),f760(x19922,x19923,x19924,x19925,x19926,x19927,x19928))
% 198.08/197.86 [1993]~E(x19931,x19932)+E(f760(x19933,x19931,x19934,x19935,x19936,x19937,x19938),f760(x19933,x19932,x19934,x19935,x19936,x19937,x19938))
% 198.08/197.86 [1994]~E(x19941,x19942)+E(f760(x19943,x19944,x19941,x19945,x19946,x19947,x19948),f760(x19943,x19944,x19942,x19945,x19946,x19947,x19948))
% 198.08/197.86 [1995]~E(x19951,x19952)+E(f760(x19953,x19954,x19955,x19951,x19956,x19957,x19958),f760(x19953,x19954,x19955,x19952,x19956,x19957,x19958))
% 198.08/197.86 [1996]~E(x19961,x19962)+E(f760(x19963,x19964,x19965,x19966,x19961,x19967,x19968),f760(x19963,x19964,x19965,x19966,x19962,x19967,x19968))
% 198.08/197.86 [1997]~E(x19971,x19972)+E(f760(x19973,x19974,x19975,x19976,x19977,x19971,x19978),f760(x19973,x19974,x19975,x19976,x19977,x19972,x19978))
% 198.08/197.86 [1998]~E(x19981,x19982)+E(f760(x19983,x19984,x19985,x19986,x19987,x19988,x19981),f760(x19983,x19984,x19985,x19986,x19987,x19988,x19982))
% 198.08/197.86 [1999]~E(x19991,x19992)+E(f925(x19991,x19993,x19994),f925(x19992,x19993,x19994))
% 198.08/197.86 [2000]~E(x20001,x20002)+E(f925(x20003,x20001,x20004),f925(x20003,x20002,x20004))
% 198.08/197.86 [2001]~E(x20011,x20012)+E(f925(x20013,x20014,x20011),f925(x20013,x20014,x20012))
% 198.08/197.86 [2002]~E(x20021,x20022)+E(f202(x20021,x20023),f202(x20022,x20023))
% 198.08/197.86 [2003]~E(x20031,x20032)+E(f202(x20033,x20031),f202(x20033,x20032))
% 198.08/197.86 [2004]~E(x20041,x20042)+E(f623(x20041,x20043,x20044,x20045,x20046,x20047,x20048,x20049),f623(x20042,x20043,x20044,x20045,x20046,x20047,x20048,x20049))
% 198.08/197.86 [2005]~E(x20051,x20052)+E(f623(x20053,x20051,x20054,x20055,x20056,x20057,x20058,x20059),f623(x20053,x20052,x20054,x20055,x20056,x20057,x20058,x20059))
% 198.08/197.86 [2006]~E(x20061,x20062)+E(f623(x20063,x20064,x20061,x20065,x20066,x20067,x20068,x20069),f623(x20063,x20064,x20062,x20065,x20066,x20067,x20068,x20069))
% 198.08/197.86 [2007]~E(x20071,x20072)+E(f623(x20073,x20074,x20075,x20071,x20076,x20077,x20078,x20079),f623(x20073,x20074,x20075,x20072,x20076,x20077,x20078,x20079))
% 198.08/197.86 [2008]~E(x20081,x20082)+E(f623(x20083,x20084,x20085,x20086,x20081,x20087,x20088,x20089),f623(x20083,x20084,x20085,x20086,x20082,x20087,x20088,x20089))
% 198.08/197.86 [2009]~E(x20091,x20092)+E(f623(x20093,x20094,x20095,x20096,x20097,x20091,x20098,x20099),f623(x20093,x20094,x20095,x20096,x20097,x20092,x20098,x20099))
% 198.08/197.86 [2010]~E(x20101,x20102)+E(f623(x20103,x20104,x20105,x20106,x20107,x20108,x20101,x20109),f623(x20103,x20104,x20105,x20106,x20107,x20108,x20102,x20109))
% 198.08/197.86 [2011]~E(x20111,x20112)+E(f623(x20113,x20114,x20115,x20116,x20117,x20118,x20119,x20111),f623(x20113,x20114,x20115,x20116,x20117,x20118,x20119,x20112))
% 198.08/197.86 [2012]~E(x20121,x20122)+E(f341(x20121,x20123,x20124,x20125,x20126),f341(x20122,x20123,x20124,x20125,x20126))
% 198.08/197.86 [2013]~E(x20131,x20132)+E(f341(x20133,x20131,x20134,x20135,x20136),f341(x20133,x20132,x20134,x20135,x20136))
% 198.08/197.86 [2014]~E(x20141,x20142)+E(f341(x20143,x20144,x20141,x20145,x20146),f341(x20143,x20144,x20142,x20145,x20146))
% 198.08/197.86 [2015]~E(x20151,x20152)+E(f341(x20153,x20154,x20155,x20151,x20156),f341(x20153,x20154,x20155,x20152,x20156))
% 198.08/197.86 [2016]~E(x20161,x20162)+E(f341(x20163,x20164,x20165,x20166,x20161),f341(x20163,x20164,x20165,x20166,x20162))
% 198.08/197.86 [2017]~E(x20171,x20172)+E(f407(x20171,x20173,x20174),f407(x20172,x20173,x20174))
% 198.08/197.86 [2018]~E(x20181,x20182)+E(f407(x20183,x20181,x20184),f407(x20183,x20182,x20184))
% 198.08/197.86 [2019]~E(x20191,x20192)+E(f407(x20193,x20194,x20191),f407(x20193,x20194,x20192))
% 198.08/197.86 [2020]~E(x20201,x20202)+E(f401(x20201,x20203,x20204,x20205),f401(x20202,x20203,x20204,x20205))
% 198.08/197.86 [2021]~E(x20211,x20212)+E(f401(x20213,x20211,x20214,x20215),f401(x20213,x20212,x20214,x20215))
% 198.08/197.86 [2022]~E(x20221,x20222)+E(f401(x20223,x20224,x20221,x20225),f401(x20223,x20224,x20222,x20225))
% 198.08/197.86 [2023]~E(x20231,x20232)+E(f401(x20233,x20234,x20235,x20231),f401(x20233,x20234,x20235,x20232))
% 198.08/197.86 [2024]~E(x20241,x20242)+E(f574(x20241,x20243,x20244,x20245),f574(x20242,x20243,x20244,x20245))
% 198.08/197.86 [2025]~E(x20251,x20252)+E(f574(x20253,x20251,x20254,x20255),f574(x20253,x20252,x20254,x20255))
% 198.08/197.86 [2026]~E(x20261,x20262)+E(f574(x20263,x20264,x20261,x20265),f574(x20263,x20264,x20262,x20265))
% 198.08/197.86 [2027]~E(x20271,x20272)+E(f574(x20273,x20274,x20275,x20271),f574(x20273,x20274,x20275,x20272))
% 198.08/197.86 [2028]~E(x20281,x20282)+E(f728(x20281,x20283),f728(x20282,x20283))
% 198.08/197.86 [2029]~E(x20291,x20292)+E(f728(x20293,x20291),f728(x20293,x20292))
% 198.08/197.86 [2030]~E(x20301,x20302)+E(f689(x20301,x20303,x20304,x20305),f689(x20302,x20303,x20304,x20305))
% 198.08/197.86 [2031]~E(x20311,x20312)+E(f689(x20313,x20311,x20314,x20315),f689(x20313,x20312,x20314,x20315))
% 198.08/197.86 [2032]~E(x20321,x20322)+E(f689(x20323,x20324,x20321,x20325),f689(x20323,x20324,x20322,x20325))
% 198.08/197.86 [2033]~E(x20331,x20332)+E(f689(x20333,x20334,x20335,x20331),f689(x20333,x20334,x20335,x20332))
% 198.08/197.86 [2034]~E(x20341,x20342)+E(f794(x20341,x20343),f794(x20342,x20343))
% 198.08/197.86 [2035]~E(x20351,x20352)+E(f794(x20353,x20351),f794(x20353,x20352))
% 198.08/197.86 [2036]~E(x20361,x20362)+E(f549(x20361,x20363),f549(x20362,x20363))
% 198.08/197.86 [2037]~E(x20371,x20372)+E(f549(x20373,x20371),f549(x20373,x20372))
% 198.08/197.86 [2038]~E(x20381,x20382)+E(f754(x20381,x20383),f754(x20382,x20383))
% 198.08/197.86 [2039]~E(x20391,x20392)+E(f754(x20393,x20391),f754(x20393,x20392))
% 198.08/197.86 [2040]~E(x20401,x20402)+E(f845(x20401,x20403,x20404),f845(x20402,x20403,x20404))
% 198.08/197.86 [2041]~E(x20411,x20412)+E(f845(x20413,x20411,x20414),f845(x20413,x20412,x20414))
% 198.08/197.86 [2042]~E(x20421,x20422)+E(f845(x20423,x20424,x20421),f845(x20423,x20424,x20422))
% 198.08/197.86 [2043]~E(x20431,x20432)+E(f752(x20431,x20433,x20434,x20435),f752(x20432,x20433,x20434,x20435))
% 198.08/197.86 [2044]~E(x20441,x20442)+E(f752(x20443,x20441,x20444,x20445),f752(x20443,x20442,x20444,x20445))
% 198.08/197.86 [2045]~E(x20451,x20452)+E(f752(x20453,x20454,x20451,x20455),f752(x20453,x20454,x20452,x20455))
% 198.08/197.86 [2046]~E(x20461,x20462)+E(f752(x20463,x20464,x20465,x20461),f752(x20463,x20464,x20465,x20462))
% 198.08/197.86 [2047]~E(x20471,x20472)+E(f924(x20471),f924(x20472))
% 198.08/197.86 [2048]~E(x20481,x20482)+E(f259(x20481,x20483,x20484,x20485,x20486),f259(x20482,x20483,x20484,x20485,x20486))
% 198.08/197.86 [2049]~E(x20491,x20492)+E(f259(x20493,x20491,x20494,x20495,x20496),f259(x20493,x20492,x20494,x20495,x20496))
% 198.08/197.86 [2050]~E(x20501,x20502)+E(f259(x20503,x20504,x20501,x20505,x20506),f259(x20503,x20504,x20502,x20505,x20506))
% 198.08/197.86 [2051]~E(x20511,x20512)+E(f259(x20513,x20514,x20515,x20511,x20516),f259(x20513,x20514,x20515,x20512,x20516))
% 198.08/197.86 [2052]~E(x20521,x20522)+E(f259(x20523,x20524,x20525,x20526,x20521),f259(x20523,x20524,x20525,x20526,x20522))
% 198.08/197.86 [2053]~E(x20531,x20532)+E(f438(x20531,x20533,x20534,x20535),f438(x20532,x20533,x20534,x20535))
% 198.08/197.86 [2054]~E(x20541,x20542)+E(f438(x20543,x20541,x20544,x20545),f438(x20543,x20542,x20544,x20545))
% 198.08/197.86 [2055]~E(x20551,x20552)+E(f438(x20553,x20554,x20551,x20555),f438(x20553,x20554,x20552,x20555))
% 198.08/197.86 [2056]~E(x20561,x20562)+E(f438(x20563,x20564,x20565,x20561),f438(x20563,x20564,x20565,x20562))
% 198.08/197.86 [2057]~E(x20571,x20572)+E(f898(x20571),f898(x20572))
% 198.08/197.86 [2058]~E(x20581,x20582)+E(f892(x20581,x20583,x20584,x20585,x20586),f892(x20582,x20583,x20584,x20585,x20586))
% 198.08/197.86 [2059]~E(x20591,x20592)+E(f892(x20593,x20591,x20594,x20595,x20596),f892(x20593,x20592,x20594,x20595,x20596))
% 198.08/197.86 [2060]~E(x20601,x20602)+E(f892(x20603,x20604,x20601,x20605,x20606),f892(x20603,x20604,x20602,x20605,x20606))
% 198.08/197.86 [2061]~E(x20611,x20612)+E(f892(x20613,x20614,x20615,x20611,x20616),f892(x20613,x20614,x20615,x20612,x20616))
% 198.08/197.86 [2062]~E(x20621,x20622)+E(f892(x20623,x20624,x20625,x20626,x20621),f892(x20623,x20624,x20625,x20626,x20622))
% 198.08/197.86 [2063]~E(x20631,x20632)+E(f613(x20631,x20633,x20634),f613(x20632,x20633,x20634))
% 198.08/197.86 [2064]~E(x20641,x20642)+E(f613(x20643,x20641,x20644),f613(x20643,x20642,x20644))
% 198.08/197.86 [2065]~E(x20651,x20652)+E(f613(x20653,x20654,x20651),f613(x20653,x20654,x20652))
% 198.08/197.86 [2066]~E(x20661,x20662)+E(f485(x20661,x20663,x20664,x20665,x20666),f485(x20662,x20663,x20664,x20665,x20666))
% 198.08/197.86 [2067]~E(x20671,x20672)+E(f485(x20673,x20671,x20674,x20675,x20676),f485(x20673,x20672,x20674,x20675,x20676))
% 198.08/197.86 [2068]~E(x20681,x20682)+E(f485(x20683,x20684,x20681,x20685,x20686),f485(x20683,x20684,x20682,x20685,x20686))
% 198.08/197.86 [2069]~E(x20691,x20692)+E(f485(x20693,x20694,x20695,x20691,x20696),f485(x20693,x20694,x20695,x20692,x20696))
% 198.08/197.86 [2070]~E(x20701,x20702)+E(f485(x20703,x20704,x20705,x20706,x20701),f485(x20703,x20704,x20705,x20706,x20702))
% 198.08/197.86 [2071]~E(x20711,x20712)+E(f627(x20711,x20713,x20714),f627(x20712,x20713,x20714))
% 198.08/197.86 [2072]~E(x20721,x20722)+E(f627(x20723,x20721,x20724),f627(x20723,x20722,x20724))
% 198.08/197.86 [2073]~E(x20731,x20732)+E(f627(x20733,x20734,x20731),f627(x20733,x20734,x20732))
% 198.08/197.86 [2074]~E(x20741,x20742)+E(f804(x20741,x20743),f804(x20742,x20743))
% 198.08/197.86 [2075]~E(x20751,x20752)+E(f804(x20753,x20751),f804(x20753,x20752))
% 198.08/197.86 [2076]~E(x20761,x20762)+E(f870(x20761,x20763,x20764),f870(x20762,x20763,x20764))
% 198.08/197.86 [2077]~E(x20771,x20772)+E(f870(x20773,x20771,x20774),f870(x20773,x20772,x20774))
% 198.08/197.86 [2078]~E(x20781,x20782)+E(f870(x20783,x20784,x20781),f870(x20783,x20784,x20782))
% 198.08/197.86 [2079]~E(x20791,x20792)+E(f637(x20791,x20793),f637(x20792,x20793))
% 198.08/197.86 [2080]~E(x20801,x20802)+E(f637(x20803,x20801),f637(x20803,x20802))
% 198.08/197.86 [2081]~E(x20811,x20812)+E(f812(x20811),f812(x20812))
% 198.08/197.86 [2082]~E(x20821,x20822)+E(f432(x20821,x20823,x20824,x20825,x20826),f432(x20822,x20823,x20824,x20825,x20826))
% 198.08/197.86 [2083]~E(x20831,x20832)+E(f432(x20833,x20831,x20834,x20835,x20836),f432(x20833,x20832,x20834,x20835,x20836))
% 198.08/197.86 [2084]~E(x20841,x20842)+E(f432(x20843,x20844,x20841,x20845,x20846),f432(x20843,x20844,x20842,x20845,x20846))
% 198.08/197.86 [2085]~E(x20851,x20852)+E(f432(x20853,x20854,x20855,x20851,x20856),f432(x20853,x20854,x20855,x20852,x20856))
% 198.08/197.86 [2086]~E(x20861,x20862)+E(f432(x20863,x20864,x20865,x20866,x20861),f432(x20863,x20864,x20865,x20866,x20862))
% 198.08/197.86 [2087]~E(x20871,x20872)+E(f180(x20871),f180(x20872))
% 198.08/197.86 [2088]~E(x20881,x20882)+E(f686(x20881,x20883,x20884),f686(x20882,x20883,x20884))
% 198.08/197.86 [2089]~E(x20891,x20892)+E(f686(x20893,x20891,x20894),f686(x20893,x20892,x20894))
% 198.08/197.86 [2090]~E(x20901,x20902)+E(f686(x20903,x20904,x20901),f686(x20903,x20904,x20902))
% 198.08/197.86 [2091]~E(x20911,x20912)+E(f272(x20911,x20913,x20914,x20915),f272(x20912,x20913,x20914,x20915))
% 198.08/197.86 [2092]~E(x20921,x20922)+E(f272(x20923,x20921,x20924,x20925),f272(x20923,x20922,x20924,x20925))
% 198.08/197.86 [2093]~E(x20931,x20932)+E(f272(x20933,x20934,x20931,x20935),f272(x20933,x20934,x20932,x20935))
% 198.08/197.86 [2094]~E(x20941,x20942)+E(f272(x20943,x20944,x20945,x20941),f272(x20943,x20944,x20945,x20942))
% 198.08/197.86 [2095]~E(x20951,x20952)+E(f693(x20951,x20953,x20954,x20955,x20956),f693(x20952,x20953,x20954,x20955,x20956))
% 198.08/197.86 [2096]~E(x20961,x20962)+E(f693(x20963,x20961,x20964,x20965,x20966),f693(x20963,x20962,x20964,x20965,x20966))
% 198.08/197.86 [2097]~E(x20971,x20972)+E(f693(x20973,x20974,x20971,x20975,x20976),f693(x20973,x20974,x20972,x20975,x20976))
% 198.08/197.86 [2098]~E(x20981,x20982)+E(f693(x20983,x20984,x20985,x20981,x20986),f693(x20983,x20984,x20985,x20982,x20986))
% 198.08/197.86 [2099]~E(x20991,x20992)+E(f693(x20993,x20994,x20995,x20996,x20991),f693(x20993,x20994,x20995,x20996,x20992))
% 198.08/197.86 [2100]~E(x21001,x21002)+E(f838(x21001,x21003,x21004,x21005,x21006,x21007),f838(x21002,x21003,x21004,x21005,x21006,x21007))
% 198.08/197.86 [2101]~E(x21011,x21012)+E(f838(x21013,x21011,x21014,x21015,x21016,x21017),f838(x21013,x21012,x21014,x21015,x21016,x21017))
% 198.08/197.86 [2102]~E(x21021,x21022)+E(f838(x21023,x21024,x21021,x21025,x21026,x21027),f838(x21023,x21024,x21022,x21025,x21026,x21027))
% 198.08/197.86 [2103]~E(x21031,x21032)+E(f838(x21033,x21034,x21035,x21031,x21036,x21037),f838(x21033,x21034,x21035,x21032,x21036,x21037))
% 198.08/197.86 [2104]~E(x21041,x21042)+E(f838(x21043,x21044,x21045,x21046,x21041,x21047),f838(x21043,x21044,x21045,x21046,x21042,x21047))
% 198.08/197.86 [2105]~E(x21051,x21052)+E(f838(x21053,x21054,x21055,x21056,x21057,x21051),f838(x21053,x21054,x21055,x21056,x21057,x21052))
% 198.08/197.86 [2106]~E(x21061,x21062)+E(f494(x21061,x21063,x21064,x21065,x21066),f494(x21062,x21063,x21064,x21065,x21066))
% 198.08/197.86 [2107]~E(x21071,x21072)+E(f494(x21073,x21071,x21074,x21075,x21076),f494(x21073,x21072,x21074,x21075,x21076))
% 198.08/197.86 [2108]~E(x21081,x21082)+E(f494(x21083,x21084,x21081,x21085,x21086),f494(x21083,x21084,x21082,x21085,x21086))
% 198.08/197.86 [2109]~E(x21091,x21092)+E(f494(x21093,x21094,x21095,x21091,x21096),f494(x21093,x21094,x21095,x21092,x21096))
% 198.08/197.86 [2110]~E(x21101,x21102)+E(f494(x21103,x21104,x21105,x21106,x21101),f494(x21103,x21104,x21105,x21106,x21102))
% 198.08/197.86 [2111]~E(x21111,x21112)+E(f785(x21111,x21113,x21114),f785(x21112,x21113,x21114))
% 198.08/197.86 [2112]~E(x21121,x21122)+E(f785(x21123,x21121,x21124),f785(x21123,x21122,x21124))
% 198.08/197.86 [2113]~E(x21131,x21132)+E(f785(x21133,x21134,x21131),f785(x21133,x21134,x21132))
% 198.08/197.86 [2114]~E(x21141,x21142)+E(f535(x21141,x21143,x21144),f535(x21142,x21143,x21144))
% 198.08/197.86 [2115]~E(x21151,x21152)+E(f535(x21153,x21151,x21154),f535(x21153,x21152,x21154))
% 198.08/197.86 [2116]~E(x21161,x21162)+E(f535(x21163,x21164,x21161),f535(x21163,x21164,x21162))
% 198.08/197.86 [2117]~E(x21171,x21172)+E(f522(x21171,x21173,x21174,x21175),f522(x21172,x21173,x21174,x21175))
% 198.08/197.86 [2118]~E(x21181,x21182)+E(f522(x21183,x21181,x21184,x21185),f522(x21183,x21182,x21184,x21185))
% 198.08/197.86 [2119]~E(x21191,x21192)+E(f522(x21193,x21194,x21191,x21195),f522(x21193,x21194,x21192,x21195))
% 198.08/197.86 [2120]~E(x21201,x21202)+E(f522(x21203,x21204,x21205,x21201),f522(x21203,x21204,x21205,x21202))
% 198.08/197.86 [2121]~E(x21211,x21212)+E(f696(x21211,x21213,x21214,x21215,x21216),f696(x21212,x21213,x21214,x21215,x21216))
% 198.08/197.86 [2122]~E(x21221,x21222)+E(f696(x21223,x21221,x21224,x21225,x21226),f696(x21223,x21222,x21224,x21225,x21226))
% 198.08/197.86 [2123]~E(x21231,x21232)+E(f696(x21233,x21234,x21231,x21235,x21236),f696(x21233,x21234,x21232,x21235,x21236))
% 198.08/197.86 [2124]~E(x21241,x21242)+E(f696(x21243,x21244,x21245,x21241,x21246),f696(x21243,x21244,x21245,x21242,x21246))
% 198.08/197.86 [2125]~E(x21251,x21252)+E(f696(x21253,x21254,x21255,x21256,x21251),f696(x21253,x21254,x21255,x21256,x21252))
% 198.08/197.86 [2126]~E(x21261,x21262)+E(f349(x21261,x21263,x21264,x21265),f349(x21262,x21263,x21264,x21265))
% 198.08/197.86 [2127]~E(x21271,x21272)+E(f349(x21273,x21271,x21274,x21275),f349(x21273,x21272,x21274,x21275))
% 198.08/197.86 [2128]~E(x21281,x21282)+E(f349(x21283,x21284,x21281,x21285),f349(x21283,x21284,x21282,x21285))
% 198.08/197.86 [2129]~E(x21291,x21292)+E(f349(x21293,x21294,x21295,x21291),f349(x21293,x21294,x21295,x21292))
% 198.08/197.86 [2130]~E(x21301,x21302)+E(f377(x21301,x21303,x21304,x21305),f377(x21302,x21303,x21304,x21305))
% 198.08/197.86 [2131]~E(x21311,x21312)+E(f377(x21313,x21311,x21314,x21315),f377(x21313,x21312,x21314,x21315))
% 198.08/197.86 [2132]~E(x21321,x21322)+E(f377(x21323,x21324,x21321,x21325),f377(x21323,x21324,x21322,x21325))
% 198.08/197.86 [2133]~E(x21331,x21332)+E(f377(x21333,x21334,x21335,x21331),f377(x21333,x21334,x21335,x21332))
% 198.08/197.86 [2134]~E(x21341,x21342)+E(f361(x21341,x21343),f361(x21342,x21343))
% 198.08/197.86 [2135]~E(x21351,x21352)+E(f361(x21353,x21351),f361(x21353,x21352))
% 198.08/197.86 [2136]~E(x21361,x21362)+E(f604(x21361,x21363,x21364,x21365,x21366,x21367),f604(x21362,x21363,x21364,x21365,x21366,x21367))
% 198.08/197.86 [2137]~E(x21371,x21372)+E(f604(x21373,x21371,x21374,x21375,x21376,x21377),f604(x21373,x21372,x21374,x21375,x21376,x21377))
% 198.08/197.86 [2138]~E(x21381,x21382)+E(f604(x21383,x21384,x21381,x21385,x21386,x21387),f604(x21383,x21384,x21382,x21385,x21386,x21387))
% 198.08/197.86 [2139]~E(x21391,x21392)+E(f604(x21393,x21394,x21395,x21391,x21396,x21397),f604(x21393,x21394,x21395,x21392,x21396,x21397))
% 198.08/197.86 [2140]~E(x21401,x21402)+E(f604(x21403,x21404,x21405,x21406,x21401,x21407),f604(x21403,x21404,x21405,x21406,x21402,x21407))
% 198.08/197.86 [2141]~E(x21411,x21412)+E(f604(x21413,x21414,x21415,x21416,x21417,x21411),f604(x21413,x21414,x21415,x21416,x21417,x21412))
% 198.08/197.86 [2142]~E(x21421,x21422)+E(f739(x21421,x21423),f739(x21422,x21423))
% 198.08/197.86 [2143]~E(x21431,x21432)+E(f739(x21433,x21431),f739(x21433,x21432))
% 198.08/197.86 [2144]~E(x21441,x21442)+E(f761(x21441,x21443),f761(x21442,x21443))
% 198.08/197.86 [2145]~E(x21451,x21452)+E(f761(x21453,x21451),f761(x21453,x21452))
% 198.08/197.86 [2146]~E(x21461,x21462)+E(f911(x21461,x21463,x21464,x21465),f911(x21462,x21463,x21464,x21465))
% 198.08/197.86 [2147]~E(x21471,x21472)+E(f911(x21473,x21471,x21474,x21475),f911(x21473,x21472,x21474,x21475))
% 198.08/197.86 [2148]~E(x21481,x21482)+E(f911(x21483,x21484,x21481,x21485),f911(x21483,x21484,x21482,x21485))
% 198.08/197.86 [2149]~E(x21491,x21492)+E(f911(x21493,x21494,x21495,x21491),f911(x21493,x21494,x21495,x21492))
% 198.08/197.86 [2150]~E(x21501,x21502)+E(f724(x21501,x21503,x21504,x21505,x21506,x21507,x21508),f724(x21502,x21503,x21504,x21505,x21506,x21507,x21508))
% 198.08/197.86 [2151]~E(x21511,x21512)+E(f724(x21513,x21511,x21514,x21515,x21516,x21517,x21518),f724(x21513,x21512,x21514,x21515,x21516,x21517,x21518))
% 198.08/197.86 [2152]~E(x21521,x21522)+E(f724(x21523,x21524,x21521,x21525,x21526,x21527,x21528),f724(x21523,x21524,x21522,x21525,x21526,x21527,x21528))
% 198.08/197.86 [2153]~E(x21531,x21532)+E(f724(x21533,x21534,x21535,x21531,x21536,x21537,x21538),f724(x21533,x21534,x21535,x21532,x21536,x21537,x21538))
% 198.08/197.86 [2154]~E(x21541,x21542)+E(f724(x21543,x21544,x21545,x21546,x21541,x21547,x21548),f724(x21543,x21544,x21545,x21546,x21542,x21547,x21548))
% 198.08/197.86 [2155]~E(x21551,x21552)+E(f724(x21553,x21554,x21555,x21556,x21557,x21551,x21558),f724(x21553,x21554,x21555,x21556,x21557,x21552,x21558))
% 198.08/197.86 [2156]~E(x21561,x21562)+E(f724(x21563,x21564,x21565,x21566,x21567,x21568,x21561),f724(x21563,x21564,x21565,x21566,x21567,x21568,x21562))
% 198.08/197.86 [2157]~E(x21571,x21572)+E(f353(x21571),f353(x21572))
% 198.08/197.86 [2158]~E(x21581,x21582)+E(f679(x21581,x21583),f679(x21582,x21583))
% 198.08/197.86 [2159]~E(x21591,x21592)+E(f679(x21593,x21591),f679(x21593,x21592))
% 198.08/197.86 [2160]~E(x21601,x21602)+E(f830(x21601,x21603,x21604),f830(x21602,x21603,x21604))
% 198.08/197.86 [2161]~E(x21611,x21612)+E(f830(x21613,x21611,x21614),f830(x21613,x21612,x21614))
% 198.08/197.86 [2162]~E(x21621,x21622)+E(f830(x21623,x21624,x21621),f830(x21623,x21624,x21622))
% 198.08/197.86 [2163]~E(x21631,x21632)+E(f509(x21631,x21633,x21634,x21635,x21636),f509(x21632,x21633,x21634,x21635,x21636))
% 198.08/197.86 [2164]~E(x21641,x21642)+E(f509(x21643,x21641,x21644,x21645,x21646),f509(x21643,x21642,x21644,x21645,x21646))
% 198.08/197.86 [2165]~E(x21651,x21652)+E(f509(x21653,x21654,x21651,x21655,x21656),f509(x21653,x21654,x21652,x21655,x21656))
% 198.08/197.86 [2166]~E(x21661,x21662)+E(f509(x21663,x21664,x21665,x21661,x21666),f509(x21663,x21664,x21665,x21662,x21666))
% 198.08/197.86 [2167]~E(x21671,x21672)+E(f509(x21673,x21674,x21675,x21676,x21671),f509(x21673,x21674,x21675,x21676,x21672))
% 198.08/197.86 [2168]~E(x21681,x21682)+E(f694(x21681,x21683),f694(x21682,x21683))
% 198.08/197.86 [2169]~E(x21691,x21692)+E(f694(x21693,x21691),f694(x21693,x21692))
% 198.08/197.86 [2170]~E(x21701,x21702)+E(f831(x21701),f831(x21702))
% 198.08/197.86 [2171]~E(x21711,x21712)+E(f540(x21711,x21713,x21714,x21715,x21716),f540(x21712,x21713,x21714,x21715,x21716))
% 198.08/197.86 [2172]~E(x21721,x21722)+E(f540(x21723,x21721,x21724,x21725,x21726),f540(x21723,x21722,x21724,x21725,x21726))
% 198.08/197.86 [2173]~E(x21731,x21732)+E(f540(x21733,x21734,x21731,x21735,x21736),f540(x21733,x21734,x21732,x21735,x21736))
% 198.08/197.86 [2174]~E(x21741,x21742)+E(f540(x21743,x21744,x21745,x21741,x21746),f540(x21743,x21744,x21745,x21742,x21746))
% 198.08/197.86 [2175]~E(x21751,x21752)+E(f540(x21753,x21754,x21755,x21756,x21751),f540(x21753,x21754,x21755,x21756,x21752))
% 198.08/197.86 [2176]~E(x21761,x21762)+E(f208(x21761),f208(x21762))
% 198.08/197.86 [2177]~E(x21771,x21772)+E(f124(x21771),f124(x21772))
% 198.08/197.86 [2178]~E(x21781,x21782)+E(f94(x21781,x21783,x21784,x21785),f94(x21782,x21783,x21784,x21785))
% 198.08/197.86 [2179]~E(x21791,x21792)+E(f94(x21793,x21791,x21794,x21795),f94(x21793,x21792,x21794,x21795))
% 198.08/197.86 [2180]~E(x21801,x21802)+E(f94(x21803,x21804,x21801,x21805),f94(x21803,x21804,x21802,x21805))
% 198.08/197.86 [2181]~E(x21811,x21812)+E(f94(x21813,x21814,x21815,x21811),f94(x21813,x21814,x21815,x21812))
% 198.08/197.86 [2182]~E(x21821,x21822)+E(f333(x21821),f333(x21822))
% 198.08/197.86 [2183]~E(x21831,x21832)+E(f532(x21831,x21833,x21834),f532(x21832,x21833,x21834))
% 198.08/197.86 [2184]~E(x21841,x21842)+E(f532(x21843,x21841,x21844),f532(x21843,x21842,x21844))
% 198.08/197.86 [2185]~E(x21851,x21852)+E(f532(x21853,x21854,x21851),f532(x21853,x21854,x21852))
% 198.08/197.86 [2186]~E(x21861,x21862)+E(f601(x21861,x21863,x21864,x21865,x21866,x21867),f601(x21862,x21863,x21864,x21865,x21866,x21867))
% 198.08/197.86 [2187]~E(x21871,x21872)+E(f601(x21873,x21871,x21874,x21875,x21876,x21877),f601(x21873,x21872,x21874,x21875,x21876,x21877))
% 198.08/197.86 [2188]~E(x21881,x21882)+E(f601(x21883,x21884,x21881,x21885,x21886,x21887),f601(x21883,x21884,x21882,x21885,x21886,x21887))
% 198.08/197.86 [2189]~E(x21891,x21892)+E(f601(x21893,x21894,x21895,x21891,x21896,x21897),f601(x21893,x21894,x21895,x21892,x21896,x21897))
% 198.08/197.86 [2190]~E(x21901,x21902)+E(f601(x21903,x21904,x21905,x21906,x21901,x21907),f601(x21903,x21904,x21905,x21906,x21902,x21907))
% 198.08/197.86 [2191]~E(x21911,x21912)+E(f601(x21913,x21914,x21915,x21916,x21917,x21911),f601(x21913,x21914,x21915,x21916,x21917,x21912))
% 198.08/197.86 [2192]~E(x21921,x21922)+E(f469(x21921,x21923,x21924,x21925),f469(x21922,x21923,x21924,x21925))
% 198.08/197.86 [2193]~E(x21931,x21932)+E(f469(x21933,x21931,x21934,x21935),f469(x21933,x21932,x21934,x21935))
% 198.08/197.86 [2194]~E(x21941,x21942)+E(f469(x21943,x21944,x21941,x21945),f469(x21943,x21944,x21942,x21945))
% 198.08/197.86 [2195]~E(x21951,x21952)+E(f469(x21953,x21954,x21955,x21951),f469(x21953,x21954,x21955,x21952))
% 198.08/197.86 [2196]~E(x21961,x21962)+E(f820(x21961,x21963,x21964),f820(x21962,x21963,x21964))
% 198.08/197.86 [2197]~E(x21971,x21972)+E(f820(x21973,x21971,x21974),f820(x21973,x21972,x21974))
% 198.08/197.86 [2198]~E(x21981,x21982)+E(f820(x21983,x21984,x21981),f820(x21983,x21984,x21982))
% 198.08/197.86 [2199]~E(x21991,x21992)+E(f684(x21991,x21993,x21994),f684(x21992,x21993,x21994))
% 198.08/197.86 [2200]~E(x22001,x22002)+E(f684(x22003,x22001,x22004),f684(x22003,x22002,x22004))
% 198.08/197.86 [2201]~E(x22011,x22012)+E(f684(x22013,x22014,x22011),f684(x22013,x22014,x22012))
% 198.08/197.86 [2202]~E(x22021,x22022)+E(f769(x22021,x22023,x22024),f769(x22022,x22023,x22024))
% 198.08/197.86 [2203]~E(x22031,x22032)+E(f769(x22033,x22031,x22034),f769(x22033,x22032,x22034))
% 198.08/197.86 [2204]~E(x22041,x22042)+E(f769(x22043,x22044,x22041),f769(x22043,x22044,x22042))
% 198.08/197.86 [2205]~E(x22051,x22052)+E(f541(x22051),f541(x22052))
% 198.08/197.86 [2206]~E(x22061,x22062)+E(f819(x22061),f819(x22062))
% 198.08/197.86 [2207]~E(x22071,x22072)+E(f411(x22071,x22073,x22074),f411(x22072,x22073,x22074))
% 198.08/197.86 [2208]~E(x22081,x22082)+E(f411(x22083,x22081,x22084),f411(x22083,x22082,x22084))
% 198.08/197.86 [2209]~E(x22091,x22092)+E(f411(x22093,x22094,x22091),f411(x22093,x22094,x22092))
% 198.08/197.86 [2210]~E(x22101,x22102)+E(f888(x22101,x22103,x22104,x22105),f888(x22102,x22103,x22104,x22105))
% 198.08/197.86 [2211]~E(x22111,x22112)+E(f888(x22113,x22111,x22114,x22115),f888(x22113,x22112,x22114,x22115))
% 198.08/197.86 [2212]~E(x22121,x22122)+E(f888(x22123,x22124,x22121,x22125),f888(x22123,x22124,x22122,x22125))
% 198.08/197.86 [2213]~E(x22131,x22132)+E(f888(x22133,x22134,x22135,x22131),f888(x22133,x22134,x22135,x22132))
% 198.08/197.86 [2214]~E(x22141,x22142)+E(f633(x22141,x22143,x22144),f633(x22142,x22143,x22144))
% 198.08/197.86 [2215]~E(x22151,x22152)+E(f633(x22153,x22151,x22154),f633(x22153,x22152,x22154))
% 198.08/197.86 [2216]~E(x22161,x22162)+E(f633(x22163,x22164,x22161),f633(x22163,x22164,x22162))
% 198.08/197.86 [2217]~E(x22171,x22172)+E(f887(x22171,x22173,x22174),f887(x22172,x22173,x22174))
% 198.08/197.86 [2218]~E(x22181,x22182)+E(f887(x22183,x22181,x22184),f887(x22183,x22182,x22184))
% 198.08/197.86 [2219]~E(x22191,x22192)+E(f887(x22193,x22194,x22191),f887(x22193,x22194,x22192))
% 198.08/197.86 [2220]~E(x22201,x22202)+E(f392(x22201,x22203,x22204,x22205),f392(x22202,x22203,x22204,x22205))
% 198.08/197.86 [2221]~E(x22211,x22212)+E(f392(x22213,x22211,x22214,x22215),f392(x22213,x22212,x22214,x22215))
% 198.08/197.86 [2222]~E(x22221,x22222)+E(f392(x22223,x22224,x22221,x22225),f392(x22223,x22224,x22222,x22225))
% 198.08/197.86 [2223]~E(x22231,x22232)+E(f392(x22233,x22234,x22235,x22231),f392(x22233,x22234,x22235,x22232))
% 198.08/197.86 [2224]~E(x22241,x22242)+E(f839(x22241,x22243,x22244,x22245,x22246),f839(x22242,x22243,x22244,x22245,x22246))
% 198.08/197.86 [2225]~E(x22251,x22252)+E(f839(x22253,x22251,x22254,x22255,x22256),f839(x22253,x22252,x22254,x22255,x22256))
% 198.08/197.86 [2226]~E(x22261,x22262)+E(f839(x22263,x22264,x22261,x22265,x22266),f839(x22263,x22264,x22262,x22265,x22266))
% 198.08/197.86 [2227]~E(x22271,x22272)+E(f839(x22273,x22274,x22275,x22271,x22276),f839(x22273,x22274,x22275,x22272,x22276))
% 198.08/197.86 [2228]~E(x22281,x22282)+E(f839(x22283,x22284,x22285,x22286,x22281),f839(x22283,x22284,x22285,x22286,x22282))
% 198.08/197.86 [2229]~E(x22291,x22292)+E(f578(x22291,x22293,x22294,x22295),f578(x22292,x22293,x22294,x22295))
% 198.08/197.86 [2230]~E(x22301,x22302)+E(f578(x22303,x22301,x22304,x22305),f578(x22303,x22302,x22304,x22305))
% 198.08/197.86 [2231]~E(x22311,x22312)+E(f578(x22313,x22314,x22311,x22315),f578(x22313,x22314,x22312,x22315))
% 198.08/197.86 [2232]~E(x22321,x22322)+E(f578(x22323,x22324,x22325,x22321),f578(x22323,x22324,x22325,x22322))
% 198.08/197.86 [2233]~E(x22331,x22332)+E(f236(x22331,x22333),f236(x22332,x22333))
% 198.08/197.86 [2234]~E(x22341,x22342)+E(f236(x22343,x22341),f236(x22343,x22342))
% 198.08/197.86 [2235]~E(x22351,x22352)+E(f277(x22351),f277(x22352))
% 198.08/197.86 [2236]~E(x22361,x22362)+E(f908(x22361,x22363,x22364,x22365,x22366),f908(x22362,x22363,x22364,x22365,x22366))
% 198.08/197.86 [2237]~E(x22371,x22372)+E(f908(x22373,x22371,x22374,x22375,x22376),f908(x22373,x22372,x22374,x22375,x22376))
% 198.08/197.86 [2238]~E(x22381,x22382)+E(f908(x22383,x22384,x22381,x22385,x22386),f908(x22383,x22384,x22382,x22385,x22386))
% 198.08/197.86 [2239]~E(x22391,x22392)+E(f908(x22393,x22394,x22395,x22391,x22396),f908(x22393,x22394,x22395,x22392,x22396))
% 198.08/197.86 [2240]~E(x22401,x22402)+E(f908(x22403,x22404,x22405,x22406,x22401),f908(x22403,x22404,x22405,x22406,x22402))
% 198.08/197.86 [2241]~E(x22411,x22412)+E(f445(x22411,x22413,x22414,x22415),f445(x22412,x22413,x22414,x22415))
% 198.08/197.86 [2242]~E(x22421,x22422)+E(f445(x22423,x22421,x22424,x22425),f445(x22423,x22422,x22424,x22425))
% 198.08/197.86 [2243]~E(x22431,x22432)+E(f445(x22433,x22434,x22431,x22435),f445(x22433,x22434,x22432,x22435))
% 198.08/197.86 [2244]~E(x22441,x22442)+E(f445(x22443,x22444,x22445,x22441),f445(x22443,x22444,x22445,x22442))
% 198.08/197.86 [2245]~E(x22451,x22452)+E(f607(x22451,x22453,x22454,x22455,x22456,x22457),f607(x22452,x22453,x22454,x22455,x22456,x22457))
% 198.08/197.86 [2246]~E(x22461,x22462)+E(f607(x22463,x22461,x22464,x22465,x22466,x22467),f607(x22463,x22462,x22464,x22465,x22466,x22467))
% 198.08/197.86 [2247]~E(x22471,x22472)+E(f607(x22473,x22474,x22471,x22475,x22476,x22477),f607(x22473,x22474,x22472,x22475,x22476,x22477))
% 198.08/197.86 [2248]~E(x22481,x22482)+E(f607(x22483,x22484,x22485,x22481,x22486,x22487),f607(x22483,x22484,x22485,x22482,x22486,x22487))
% 198.08/197.86 [2249]~E(x22491,x22492)+E(f607(x22493,x22494,x22495,x22496,x22491,x22497),f607(x22493,x22494,x22495,x22496,x22492,x22497))
% 198.08/197.86 [2250]~E(x22501,x22502)+E(f607(x22503,x22504,x22505,x22506,x22507,x22501),f607(x22503,x22504,x22505,x22506,x22507,x22502))
% 198.08/197.86 [2251]~E(x22511,x22512)+E(f764(x22511,x22513,x22514),f764(x22512,x22513,x22514))
% 198.08/197.86 [2252]~E(x22521,x22522)+E(f764(x22523,x22521,x22524),f764(x22523,x22522,x22524))
% 198.08/197.86 [2253]~E(x22531,x22532)+E(f764(x22533,x22534,x22531),f764(x22533,x22534,x22532))
% 198.08/197.86 [2254]~E(x22541,x22542)+E(f594(x22541,x22543),f594(x22542,x22543))
% 198.08/197.86 [2255]~E(x22551,x22552)+E(f594(x22553,x22551),f594(x22553,x22552))
% 198.08/197.86 [2256]~E(x22561,x22562)+E(f725(x22561,x22563,x22564),f725(x22562,x22563,x22564))
% 198.08/197.86 [2257]~E(x22571,x22572)+E(f725(x22573,x22571,x22574),f725(x22573,x22572,x22574))
% 198.08/197.86 [2258]~E(x22581,x22582)+E(f725(x22583,x22584,x22581),f725(x22583,x22584,x22582))
% 198.08/197.86 [2259]~E(x22591,x22592)+E(f847(x22591,x22593,x22594,x22595,x22596,x22597,x22598,x22599),f847(x22592,x22593,x22594,x22595,x22596,x22597,x22598,x22599))
% 198.08/197.86 [2260]~E(x22601,x22602)+E(f847(x22603,x22601,x22604,x22605,x22606,x22607,x22608,x22609),f847(x22603,x22602,x22604,x22605,x22606,x22607,x22608,x22609))
% 198.08/197.86 [2261]~E(x22611,x22612)+E(f847(x22613,x22614,x22611,x22615,x22616,x22617,x22618,x22619),f847(x22613,x22614,x22612,x22615,x22616,x22617,x22618,x22619))
% 198.08/197.86 [2262]~E(x22621,x22622)+E(f847(x22623,x22624,x22625,x22621,x22626,x22627,x22628,x22629),f847(x22623,x22624,x22625,x22622,x22626,x22627,x22628,x22629))
% 198.08/197.86 [2263]~E(x22631,x22632)+E(f847(x22633,x22634,x22635,x22636,x22631,x22637,x22638,x22639),f847(x22633,x22634,x22635,x22636,x22632,x22637,x22638,x22639))
% 198.08/197.86 [2264]~E(x22641,x22642)+E(f847(x22643,x22644,x22645,x22646,x22647,x22641,x22648,x22649),f847(x22643,x22644,x22645,x22646,x22647,x22642,x22648,x22649))
% 198.08/197.86 [2265]~E(x22651,x22652)+E(f847(x22653,x22654,x22655,x22656,x22657,x22658,x22651,x22659),f847(x22653,x22654,x22655,x22656,x22657,x22658,x22652,x22659))
% 198.08/197.86 [2266]~E(x22661,x22662)+E(f847(x22663,x22664,x22665,x22666,x22667,x22668,x22669,x22661),f847(x22663,x22664,x22665,x22666,x22667,x22668,x22669,x22662))
% 198.08/197.86 [2267]~E(x22671,x22672)+E(f203(x22671,x22673,x22674),f203(x22672,x22673,x22674))
% 198.08/197.86 [2268]~E(x22681,x22682)+E(f203(x22683,x22681,x22684),f203(x22683,x22682,x22684))
% 198.08/197.86 [2269]~E(x22691,x22692)+E(f203(x22693,x22694,x22691),f203(x22693,x22694,x22692))
% 198.08/197.86 [2270]~E(x22701,x22702)+E(f558(x22701,x22703,x22704,x22705),f558(x22702,x22703,x22704,x22705))
% 198.08/197.86 [2271]~E(x22711,x22712)+E(f558(x22713,x22711,x22714,x22715),f558(x22713,x22712,x22714,x22715))
% 198.08/197.86 [2272]~E(x22721,x22722)+E(f558(x22723,x22724,x22721,x22725),f558(x22723,x22724,x22722,x22725))
% 198.08/197.86 [2273]~E(x22731,x22732)+E(f558(x22733,x22734,x22735,x22731),f558(x22733,x22734,x22735,x22732))
% 198.08/197.86 [2274]~E(x22741,x22742)+E(f699(x22741,x22743,x22744,x22745),f699(x22742,x22743,x22744,x22745))
% 198.08/197.86 [2275]~E(x22751,x22752)+E(f699(x22753,x22751,x22754,x22755),f699(x22753,x22752,x22754,x22755))
% 198.08/197.86 [2276]~E(x22761,x22762)+E(f699(x22763,x22764,x22761,x22765),f699(x22763,x22764,x22762,x22765))
% 198.08/197.86 [2277]~E(x22771,x22772)+E(f699(x22773,x22774,x22775,x22771),f699(x22773,x22774,x22775,x22772))
% 198.08/197.86 [2278]~E(x22781,x22782)+E(f685(x22781,x22783,x22784),f685(x22782,x22783,x22784))
% 198.08/197.86 [2279]~E(x22791,x22792)+E(f685(x22793,x22791,x22794),f685(x22793,x22792,x22794))
% 198.08/197.86 [2280]~E(x22801,x22802)+E(f685(x22803,x22804,x22801),f685(x22803,x22804,x22802))
% 198.08/197.86 [2281]~E(x22811,x22812)+E(f342(x22811,x22813,x22814),f342(x22812,x22813,x22814))
% 198.08/197.86 [2282]~E(x22821,x22822)+E(f342(x22823,x22821,x22824),f342(x22823,x22822,x22824))
% 198.08/197.86 [2283]~E(x22831,x22832)+E(f342(x22833,x22834,x22831),f342(x22833,x22834,x22832))
% 198.08/197.86 [2284]~E(x22841,x22842)+E(f531(x22841,x22843,x22844),f531(x22842,x22843,x22844))
% 198.08/197.86 [2285]~E(x22851,x22852)+E(f531(x22853,x22851,x22854),f531(x22853,x22852,x22854))
% 198.08/197.86 [2286]~E(x22861,x22862)+E(f531(x22863,x22864,x22861),f531(x22863,x22864,x22862))
% 198.08/197.86 [2287]~E(x22871,x22872)+E(f902(x22871,x22873,x22874,x22875,x22876),f902(x22872,x22873,x22874,x22875,x22876))
% 198.08/197.86 [2288]~E(x22881,x22882)+E(f902(x22883,x22881,x22884,x22885,x22886),f902(x22883,x22882,x22884,x22885,x22886))
% 198.08/197.86 [2289]~E(x22891,x22892)+E(f902(x22893,x22894,x22891,x22895,x22896),f902(x22893,x22894,x22892,x22895,x22896))
% 198.08/197.86 [2290]~E(x22901,x22902)+E(f902(x22903,x22904,x22905,x22901,x22906),f902(x22903,x22904,x22905,x22902,x22906))
% 198.08/197.86 [2291]~E(x22911,x22912)+E(f902(x22913,x22914,x22915,x22916,x22911),f902(x22913,x22914,x22915,x22916,x22912))
% 198.08/197.86 [2292]~E(x22921,x22922)+E(f844(x22921,x22923,x22924),f844(x22922,x22923,x22924))
% 198.08/197.86 [2293]~E(x22931,x22932)+E(f844(x22933,x22931,x22934),f844(x22933,x22932,x22934))
% 198.08/197.86 [2294]~E(x22941,x22942)+E(f844(x22943,x22944,x22941),f844(x22943,x22944,x22942))
% 198.08/197.86 [2295]~E(x22951,x22952)+E(f495(x22951,x22953,x22954),f495(x22952,x22953,x22954))
% 198.08/197.86 [2296]~E(x22961,x22962)+E(f495(x22963,x22961,x22964),f495(x22963,x22962,x22964))
% 198.08/197.86 [2297]~E(x22971,x22972)+E(f495(x22973,x22974,x22971),f495(x22973,x22974,x22972))
% 198.08/197.86 [2298]~E(x22981,x22982)+E(f492(x22981,x22983,x22984,x22985,x22986),f492(x22982,x22983,x22984,x22985,x22986))
% 198.08/197.86 [2299]~E(x22991,x22992)+E(f492(x22993,x22991,x22994,x22995,x22996),f492(x22993,x22992,x22994,x22995,x22996))
% 198.08/197.86 [2300]~E(x23001,x23002)+E(f492(x23003,x23004,x23001,x23005,x23006),f492(x23003,x23004,x23002,x23005,x23006))
% 198.08/197.86 [2301]~E(x23011,x23012)+E(f492(x23013,x23014,x23015,x23011,x23016),f492(x23013,x23014,x23015,x23012,x23016))
% 198.08/197.86 [2302]~E(x23021,x23022)+E(f492(x23023,x23024,x23025,x23026,x23021),f492(x23023,x23024,x23025,x23026,x23022))
% 198.08/197.86 [2303]~E(x23031,x23032)+E(f625(x23031,x23033,x23034),f625(x23032,x23033,x23034))
% 198.08/197.86 [2304]~E(x23041,x23042)+E(f625(x23043,x23041,x23044),f625(x23043,x23042,x23044))
% 198.08/197.86 [2305]~E(x23051,x23052)+E(f625(x23053,x23054,x23051),f625(x23053,x23054,x23052))
% 198.08/197.86 [2306]~E(x23061,x23062)+E(f457(x23061,x23063,x23064,x23065),f457(x23062,x23063,x23064,x23065))
% 198.08/197.86 [2307]~E(x23071,x23072)+E(f457(x23073,x23071,x23074,x23075),f457(x23073,x23072,x23074,x23075))
% 198.08/197.86 [2308]~E(x23081,x23082)+E(f457(x23083,x23084,x23081,x23085),f457(x23083,x23084,x23082,x23085))
% 198.08/197.86 [2309]~E(x23091,x23092)+E(f457(x23093,x23094,x23095,x23091),f457(x23093,x23094,x23095,x23092))
% 198.08/197.86 [2310]~E(x23101,x23102)+E(f292(x23101,x23103),f292(x23102,x23103))
% 198.08/197.86 [2311]~E(x23111,x23112)+E(f292(x23113,x23111),f292(x23113,x23112))
% 198.08/197.86 [2312]~E(x23121,x23122)+E(f298(x23121,x23123,x23124,x23125),f298(x23122,x23123,x23124,x23125))
% 198.08/197.86 [2313]~E(x23131,x23132)+E(f298(x23133,x23131,x23134,x23135),f298(x23133,x23132,x23134,x23135))
% 198.08/197.86 [2314]~E(x23141,x23142)+E(f298(x23143,x23144,x23141,x23145),f298(x23143,x23144,x23142,x23145))
% 198.08/197.86 [2315]~E(x23151,x23152)+E(f298(x23153,x23154,x23155,x23151),f298(x23153,x23154,x23155,x23152))
% 198.08/197.86 [2316]~E(x23161,x23162)+E(f782(x23161,x23163,x23164,x23165),f782(x23162,x23163,x23164,x23165))
% 198.08/197.86 [2317]~E(x23171,x23172)+E(f782(x23173,x23171,x23174,x23175),f782(x23173,x23172,x23174,x23175))
% 198.08/197.86 [2318]~E(x23181,x23182)+E(f782(x23183,x23184,x23181,x23185),f782(x23183,x23184,x23182,x23185))
% 198.08/197.86 [2319]~E(x23191,x23192)+E(f782(x23193,x23194,x23195,x23191),f782(x23193,x23194,x23195,x23192))
% 198.08/197.86 [2320]~E(x23201,x23202)+E(f897(x23201,x23203,x23204,x23205,x23206),f897(x23202,x23203,x23204,x23205,x23206))
% 198.08/197.86 [2321]~E(x23211,x23212)+E(f897(x23213,x23211,x23214,x23215,x23216),f897(x23213,x23212,x23214,x23215,x23216))
% 198.08/197.86 [2322]~E(x23221,x23222)+E(f897(x23223,x23224,x23221,x23225,x23226),f897(x23223,x23224,x23222,x23225,x23226))
% 198.08/197.86 [2323]~E(x23231,x23232)+E(f897(x23233,x23234,x23235,x23231,x23236),f897(x23233,x23234,x23235,x23232,x23236))
% 198.08/197.86 [2324]~E(x23241,x23242)+E(f897(x23243,x23244,x23245,x23246,x23241),f897(x23243,x23244,x23245,x23246,x23242))
% 198.08/197.86 [2325]~E(x23251,x23252)+E(f264(x23251,x23253,x23254),f264(x23252,x23253,x23254))
% 198.08/197.86 [2326]~E(x23261,x23262)+E(f264(x23263,x23261,x23264),f264(x23263,x23262,x23264))
% 198.08/197.86 [2327]~E(x23271,x23272)+E(f264(x23273,x23274,x23271),f264(x23273,x23274,x23272))
% 198.08/197.86 [2328]~E(x23281,x23282)+E(f359(x23281,x23283),f359(x23282,x23283))
% 198.08/197.86 [2329]~E(x23291,x23292)+E(f359(x23293,x23291),f359(x23293,x23292))
% 198.08/197.86 [2330]~E(x23301,x23302)+E(f369(x23301,x23303,x23304,x23305,x23306,x23307,x23308),f369(x23302,x23303,x23304,x23305,x23306,x23307,x23308))
% 198.08/197.86 [2331]~E(x23311,x23312)+E(f369(x23313,x23311,x23314,x23315,x23316,x23317,x23318),f369(x23313,x23312,x23314,x23315,x23316,x23317,x23318))
% 198.08/197.86 [2332]~E(x23321,x23322)+E(f369(x23323,x23324,x23321,x23325,x23326,x23327,x23328),f369(x23323,x23324,x23322,x23325,x23326,x23327,x23328))
% 198.08/197.86 [2333]~E(x23331,x23332)+E(f369(x23333,x23334,x23335,x23331,x23336,x23337,x23338),f369(x23333,x23334,x23335,x23332,x23336,x23337,x23338))
% 198.08/197.86 [2334]~E(x23341,x23342)+E(f369(x23343,x23344,x23345,x23346,x23341,x23347,x23348),f369(x23343,x23344,x23345,x23346,x23342,x23347,x23348))
% 198.08/197.86 [2335]~E(x23351,x23352)+E(f369(x23353,x23354,x23355,x23356,x23357,x23351,x23358),f369(x23353,x23354,x23355,x23356,x23357,x23352,x23358))
% 198.08/197.86 [2336]~E(x23361,x23362)+E(f369(x23363,x23364,x23365,x23366,x23367,x23368,x23361),f369(x23363,x23364,x23365,x23366,x23367,x23368,x23362))
% 198.08/197.86 [2337]~E(x23371,x23372)+E(f612(x23371,x23373),f612(x23372,x23373))
% 198.08/197.86 [2338]~E(x23381,x23382)+E(f612(x23383,x23381),f612(x23383,x23382))
% 198.08/197.86 [2339]~E(x23391,x23392)+E(f795(x23391,x23393,x23394),f795(x23392,x23393,x23394))
% 198.08/197.86 [2340]~E(x23401,x23402)+E(f795(x23403,x23401,x23404),f795(x23403,x23402,x23404))
% 198.08/197.86 [2341]~E(x23411,x23412)+E(f795(x23413,x23414,x23411),f795(x23413,x23414,x23412))
% 198.08/197.86 [2342]~E(x23421,x23422)+E(f214(x23421,x23423),f214(x23422,x23423))
% 198.08/197.86 [2343]~E(x23431,x23432)+E(f214(x23433,x23431),f214(x23433,x23432))
% 198.08/197.86 [2344]~E(x23441,x23442)+E(f721(x23441,x23443),f721(x23442,x23443))
% 198.08/197.86 [2345]~E(x23451,x23452)+E(f721(x23453,x23451),f721(x23453,x23452))
% 198.08/197.86 [2346]~E(x23461,x23462)+E(f524(x23461,x23463,x23464,x23465),f524(x23462,x23463,x23464,x23465))
% 198.08/197.86 [2347]~E(x23471,x23472)+E(f524(x23473,x23471,x23474,x23475),f524(x23473,x23472,x23474,x23475))
% 198.08/197.86 [2348]~E(x23481,x23482)+E(f524(x23483,x23484,x23481,x23485),f524(x23483,x23484,x23482,x23485))
% 198.08/197.86 [2349]~E(x23491,x23492)+E(f524(x23493,x23494,x23495,x23491),f524(x23493,x23494,x23495,x23492))
% 198.08/197.86 [2350]~E(x23501,x23502)+E(f857(x23501,x23503,x23504,x23505,x23506,x23507,x23508),f857(x23502,x23503,x23504,x23505,x23506,x23507,x23508))
% 198.08/197.86 [2351]~E(x23511,x23512)+E(f857(x23513,x23511,x23514,x23515,x23516,x23517,x23518),f857(x23513,x23512,x23514,x23515,x23516,x23517,x23518))
% 198.08/197.86 [2352]~E(x23521,x23522)+E(f857(x23523,x23524,x23521,x23525,x23526,x23527,x23528),f857(x23523,x23524,x23522,x23525,x23526,x23527,x23528))
% 198.08/197.86 [2353]~E(x23531,x23532)+E(f857(x23533,x23534,x23535,x23531,x23536,x23537,x23538),f857(x23533,x23534,x23535,x23532,x23536,x23537,x23538))
% 198.08/197.86 [2354]~E(x23541,x23542)+E(f857(x23543,x23544,x23545,x23546,x23541,x23547,x23548),f857(x23543,x23544,x23545,x23546,x23542,x23547,x23548))
% 198.08/197.86 [2355]~E(x23551,x23552)+E(f857(x23553,x23554,x23555,x23556,x23557,x23551,x23558),f857(x23553,x23554,x23555,x23556,x23557,x23552,x23558))
% 198.08/197.86 [2356]~E(x23561,x23562)+E(f857(x23563,x23564,x23565,x23566,x23567,x23568,x23561),f857(x23563,x23564,x23565,x23566,x23567,x23568,x23562))
% 198.08/197.86 [2357]~E(x23571,x23572)+E(f389(x23571,x23573,x23574),f389(x23572,x23573,x23574))
% 198.08/197.86 [2358]~E(x23581,x23582)+E(f389(x23583,x23581,x23584),f389(x23583,x23582,x23584))
% 198.08/197.86 [2359]~E(x23591,x23592)+E(f389(x23593,x23594,x23591),f389(x23593,x23594,x23592))
% 198.08/197.86 [2360]~E(x23601,x23602)+E(f850(x23601,x23603,x23604,x23605,x23606,x23607,x23608,x23609),f850(x23602,x23603,x23604,x23605,x23606,x23607,x23608,x23609))
% 198.08/197.86 [2361]~E(x23611,x23612)+E(f850(x23613,x23611,x23614,x23615,x23616,x23617,x23618,x23619),f850(x23613,x23612,x23614,x23615,x23616,x23617,x23618,x23619))
% 198.08/197.86 [2362]~E(x23621,x23622)+E(f850(x23623,x23624,x23621,x23625,x23626,x23627,x23628,x23629),f850(x23623,x23624,x23622,x23625,x23626,x23627,x23628,x23629))
% 198.08/197.86 [2363]~E(x23631,x23632)+E(f850(x23633,x23634,x23635,x23631,x23636,x23637,x23638,x23639),f850(x23633,x23634,x23635,x23632,x23636,x23637,x23638,x23639))
% 198.08/197.86 [2364]~E(x23641,x23642)+E(f850(x23643,x23644,x23645,x23646,x23641,x23647,x23648,x23649),f850(x23643,x23644,x23645,x23646,x23642,x23647,x23648,x23649))
% 198.08/197.86 [2365]~E(x23651,x23652)+E(f850(x23653,x23654,x23655,x23656,x23657,x23651,x23658,x23659),f850(x23653,x23654,x23655,x23656,x23657,x23652,x23658,x23659))
% 198.08/197.86 [2366]~E(x23661,x23662)+E(f850(x23663,x23664,x23665,x23666,x23667,x23668,x23661,x23669),f850(x23663,x23664,x23665,x23666,x23667,x23668,x23662,x23669))
% 198.08/197.86 [2367]~E(x23671,x23672)+E(f850(x23673,x23674,x23675,x23676,x23677,x23678,x23679,x23671),f850(x23673,x23674,x23675,x23676,x23677,x23678,x23679,x23672))
% 198.08/197.86 [2368]~E(x23681,x23682)+E(f476(x23681,x23683,x23684,x23685),f476(x23682,x23683,x23684,x23685))
% 198.08/197.86 [2369]~E(x23691,x23692)+E(f476(x23693,x23691,x23694,x23695),f476(x23693,x23692,x23694,x23695))
% 198.08/197.86 [2370]~E(x23701,x23702)+E(f476(x23703,x23704,x23701,x23705),f476(x23703,x23704,x23702,x23705))
% 198.08/197.86 [2371]~E(x23711,x23712)+E(f476(x23713,x23714,x23715,x23711),f476(x23713,x23714,x23715,x23712))
% 198.08/197.86 [2372]~E(x23721,x23722)+E(f468(x23721,x23723),f468(x23722,x23723))
% 198.08/197.86 [2373]~E(x23731,x23732)+E(f468(x23733,x23731),f468(x23733,x23732))
% 198.08/197.86 [2374]~E(x23741,x23742)+E(f397(x23741,x23743,x23744,x23745),f397(x23742,x23743,x23744,x23745))
% 198.08/197.86 [2375]~E(x23751,x23752)+E(f397(x23753,x23751,x23754,x23755),f397(x23753,x23752,x23754,x23755))
% 198.08/197.86 [2376]~E(x23761,x23762)+E(f397(x23763,x23764,x23761,x23765),f397(x23763,x23764,x23762,x23765))
% 198.08/197.86 [2377]~E(x23771,x23772)+E(f397(x23773,x23774,x23775,x23771),f397(x23773,x23774,x23775,x23772))
% 198.08/197.86 [2378]~E(x23781,x23782)+E(f583(x23781,x23783,x23784),f583(x23782,x23783,x23784))
% 198.08/197.86 [2379]~E(x23791,x23792)+E(f583(x23793,x23791,x23794),f583(x23793,x23792,x23794))
% 198.08/197.86 [2380]~E(x23801,x23802)+E(f583(x23803,x23804,x23801),f583(x23803,x23804,x23802))
% 198.08/197.86 [2381]~E(x23811,x23812)+E(f466(x23811,x23813,x23814,x23815),f466(x23812,x23813,x23814,x23815))
% 198.08/197.86 [2382]~E(x23821,x23822)+E(f466(x23823,x23821,x23824,x23825),f466(x23823,x23822,x23824,x23825))
% 198.08/197.86 [2383]~E(x23831,x23832)+E(f466(x23833,x23834,x23831,x23835),f466(x23833,x23834,x23832,x23835))
% 198.08/197.86 [2384]~E(x23841,x23842)+E(f466(x23843,x23844,x23845,x23841),f466(x23843,x23844,x23845,x23842))
% 198.08/197.86 [2385]~E(x23851,x23852)+E(f230(x23851,x23853,x23854),f230(x23852,x23853,x23854))
% 198.08/197.86 [2386]~E(x23861,x23862)+E(f230(x23863,x23861,x23864),f230(x23863,x23862,x23864))
% 198.08/197.86 [2387]~E(x23871,x23872)+E(f230(x23873,x23874,x23871),f230(x23873,x23874,x23872))
% 198.08/197.86 [2388]~E(x23881,x23882)+E(f592(x23881,x23883),f592(x23882,x23883))
% 198.08/197.86 [2389]~E(x23891,x23892)+E(f592(x23893,x23891),f592(x23893,x23892))
% 198.08/197.86 [2390]~E(x23901,x23902)+E(f577(x23901,x23903),f577(x23902,x23903))
% 198.08/197.86 [2391]~E(x23911,x23912)+E(f577(x23913,x23911),f577(x23913,x23912))
% 198.08/197.86 [2392]~E(x23921,x23922)+E(f41(x23921),f41(x23922))
% 198.08/197.86 [2393]~E(x23931,x23932)+E(f890(x23931,x23933,x23934),f890(x23932,x23933,x23934))
% 198.08/197.86 [2394]~E(x23941,x23942)+E(f890(x23943,x23941,x23944),f890(x23943,x23942,x23944))
% 198.08/197.86 [2395]~E(x23951,x23952)+E(f890(x23953,x23954,x23951),f890(x23953,x23954,x23952))
% 198.08/197.86 [2396]~E(x23961,x23962)+E(f586(x23961,x23963),f586(x23962,x23963))
% 198.08/197.86 [2397]~E(x23971,x23972)+E(f586(x23973,x23971),f586(x23973,x23972))
% 198.08/197.86 [2398]~E(x23981,x23982)+E(f421(x23981,x23983,x23984,x23985),f421(x23982,x23983,x23984,x23985))
% 198.08/197.86 [2399]~E(x23991,x23992)+E(f421(x23993,x23991,x23994,x23995),f421(x23993,x23992,x23994,x23995))
% 198.08/197.86 [2400]~E(x24001,x24002)+E(f421(x24003,x24004,x24001,x24005),f421(x24003,x24004,x24002,x24005))
% 198.08/197.86 [2401]~E(x24011,x24012)+E(f421(x24013,x24014,x24015,x24011),f421(x24013,x24014,x24015,x24012))
% 198.08/197.86 [2402]~E(x24021,x24022)+E(f663(x24021,x24023,x24024,x24025),f663(x24022,x24023,x24024,x24025))
% 198.08/197.86 [2403]~E(x24031,x24032)+E(f663(x24033,x24031,x24034,x24035),f663(x24033,x24032,x24034,x24035))
% 198.08/197.86 [2404]~E(x24041,x24042)+E(f663(x24043,x24044,x24041,x24045),f663(x24043,x24044,x24042,x24045))
% 198.08/197.86 [2405]~E(x24051,x24052)+E(f663(x24053,x24054,x24055,x24051),f663(x24053,x24054,x24055,x24052))
% 198.08/197.86 [2406]~E(x24061,x24062)+E(f862(x24061,x24063,x24064),f862(x24062,x24063,x24064))
% 198.08/197.86 [2407]~E(x24071,x24072)+E(f862(x24073,x24071,x24074),f862(x24073,x24072,x24074))
% 198.08/197.86 [2408]~E(x24081,x24082)+E(f862(x24083,x24084,x24081),f862(x24083,x24084,x24082))
% 198.08/197.86 [2409]~E(x24091,x24092)+E(f690(x24091,x24093),f690(x24092,x24093))
% 198.08/197.86 [2410]~E(x24101,x24102)+E(f690(x24103,x24101),f690(x24103,x24102))
% 198.08/197.86 [2411]~E(x24111,x24112)+E(f211(x24111,x24113,x24114,x24115,x24116,x24117,x24118),f211(x24112,x24113,x24114,x24115,x24116,x24117,x24118))
% 198.08/197.86 [2412]~E(x24121,x24122)+E(f211(x24123,x24121,x24124,x24125,x24126,x24127,x24128),f211(x24123,x24122,x24124,x24125,x24126,x24127,x24128))
% 198.08/197.86 [2413]~E(x24131,x24132)+E(f211(x24133,x24134,x24131,x24135,x24136,x24137,x24138),f211(x24133,x24134,x24132,x24135,x24136,x24137,x24138))
% 198.08/197.86 [2414]~E(x24141,x24142)+E(f211(x24143,x24144,x24145,x24141,x24146,x24147,x24148),f211(x24143,x24144,x24145,x24142,x24146,x24147,x24148))
% 198.08/197.86 [2415]~E(x24151,x24152)+E(f211(x24153,x24154,x24155,x24156,x24151,x24157,x24158),f211(x24153,x24154,x24155,x24156,x24152,x24157,x24158))
% 198.08/197.86 [2416]~E(x24161,x24162)+E(f211(x24163,x24164,x24165,x24166,x24167,x24161,x24168),f211(x24163,x24164,x24165,x24166,x24167,x24162,x24168))
% 198.08/197.86 [2417]~E(x24171,x24172)+E(f211(x24173,x24174,x24175,x24176,x24177,x24178,x24171),f211(x24173,x24174,x24175,x24176,x24177,x24178,x24172))
% 198.08/197.86 [2418]~E(x24181,x24182)+E(f343(x24181,x24183,x24184),f343(x24182,x24183,x24184))
% 198.08/197.86 [2419]~E(x24191,x24192)+E(f343(x24193,x24191,x24194),f343(x24193,x24192,x24194))
% 198.08/197.86 [2420]~E(x24201,x24202)+E(f343(x24203,x24204,x24201),f343(x24203,x24204,x24202))
% 198.08/197.86 [2421]~E(x24211,x24212)+E(f832(x24211,x24213,x24214),f832(x24212,x24213,x24214))
% 198.08/197.86 [2422]~E(x24221,x24222)+E(f832(x24223,x24221,x24224),f832(x24223,x24222,x24224))
% 198.08/197.86 [2423]~E(x24231,x24232)+E(f832(x24233,x24234,x24231),f832(x24233,x24234,x24232))
% 198.08/197.86 [2424]~E(x24241,x24242)+E(f922(x24241),f922(x24242))
% 198.08/197.86 [2425]~E(x24251,x24252)+E(f719(x24251,x24253),f719(x24252,x24253))
% 198.08/197.86 [2426]~E(x24261,x24262)+E(f719(x24263,x24261),f719(x24263,x24262))
% 198.08/197.86 [2427]~E(x24271,x24272)+E(f548(x24271,x24273,x24274,x24275),f548(x24272,x24273,x24274,x24275))
% 198.08/197.86 [2428]~E(x24281,x24282)+E(f548(x24283,x24281,x24284,x24285),f548(x24283,x24282,x24284,x24285))
% 198.08/197.86 [2429]~E(x24291,x24292)+E(f548(x24293,x24294,x24291,x24295),f548(x24293,x24294,x24292,x24295))
% 198.08/197.86 [2430]~E(x24301,x24302)+E(f548(x24303,x24304,x24305,x24301),f548(x24303,x24304,x24305,x24302))
% 198.08/197.86 [2431]~E(x24311,x24312)+E(f453(x24311,x24313,x24314),f453(x24312,x24313,x24314))
% 198.08/197.86 [2432]~E(x24321,x24322)+E(f453(x24323,x24321,x24324),f453(x24323,x24322,x24324))
% 198.08/197.86 [2433]~E(x24331,x24332)+E(f453(x24333,x24334,x24331),f453(x24333,x24334,x24332))
% 198.08/197.86 [2434]~E(x24341,x24342)+E(f413(x24341,x24343,x24344,x24345),f413(x24342,x24343,x24344,x24345))
% 198.08/197.86 [2435]~E(x24351,x24352)+E(f413(x24353,x24351,x24354,x24355),f413(x24353,x24352,x24354,x24355))
% 198.08/197.86 [2436]~E(x24361,x24362)+E(f413(x24363,x24364,x24361,x24365),f413(x24363,x24364,x24362,x24365))
% 198.08/197.86 [2437]~E(x24371,x24372)+E(f413(x24373,x24374,x24375,x24371),f413(x24373,x24374,x24375,x24372))
% 198.08/197.86 [2438]~E(x24381,x24382)+E(f436(x24381,x24383),f436(x24382,x24383))
% 198.08/197.86 [2439]~E(x24391,x24392)+E(f436(x24393,x24391),f436(x24393,x24392))
% 198.08/197.86 [2440]~E(x24401,x24402)+E(f44(x24401),f44(x24402))
% 198.08/197.86 [2441]~E(x24411,x24412)+E(f855(x24411,x24413,x24414,x24415,x24416,x24417,x24418,x24419),f855(x24412,x24413,x24414,x24415,x24416,x24417,x24418,x24419))
% 198.08/197.86 [2442]~E(x24421,x24422)+E(f855(x24423,x24421,x24424,x24425,x24426,x24427,x24428,x24429),f855(x24423,x24422,x24424,x24425,x24426,x24427,x24428,x24429))
% 198.08/197.86 [2443]~E(x24431,x24432)+E(f855(x24433,x24434,x24431,x24435,x24436,x24437,x24438,x24439),f855(x24433,x24434,x24432,x24435,x24436,x24437,x24438,x24439))
% 198.08/197.86 [2444]~E(x24441,x24442)+E(f855(x24443,x24444,x24445,x24441,x24446,x24447,x24448,x24449),f855(x24443,x24444,x24445,x24442,x24446,x24447,x24448,x24449))
% 198.08/197.86 [2445]~E(x24451,x24452)+E(f855(x24453,x24454,x24455,x24456,x24451,x24457,x24458,x24459),f855(x24453,x24454,x24455,x24456,x24452,x24457,x24458,x24459))
% 198.08/197.86 [2446]~E(x24461,x24462)+E(f855(x24463,x24464,x24465,x24466,x24467,x24461,x24468,x24469),f855(x24463,x24464,x24465,x24466,x24467,x24462,x24468,x24469))
% 198.08/197.86 [2447]~E(x24471,x24472)+E(f855(x24473,x24474,x24475,x24476,x24477,x24478,x24471,x24479),f855(x24473,x24474,x24475,x24476,x24477,x24478,x24472,x24479))
% 198.08/197.86 [2448]~E(x24481,x24482)+E(f855(x24483,x24484,x24485,x24486,x24487,x24488,x24489,x24481),f855(x24483,x24484,x24485,x24486,x24487,x24488,x24489,x24482))
% 198.08/197.86 [2449]~E(x24491,x24492)+E(f632(x24491,x24493,x24494),f632(x24492,x24493,x24494))
% 198.08/197.86 [2450]~E(x24501,x24502)+E(f632(x24503,x24501,x24504),f632(x24503,x24502,x24504))
% 198.08/197.86 [2451]~E(x24511,x24512)+E(f632(x24513,x24514,x24511),f632(x24513,x24514,x24512))
% 198.08/197.86 [2452]~E(x24521,x24522)+E(f398(x24521,x24523,x24524,x24525,x24526),f398(x24522,x24523,x24524,x24525,x24526))
% 198.08/197.86 [2453]~E(x24531,x24532)+E(f398(x24533,x24531,x24534,x24535,x24536),f398(x24533,x24532,x24534,x24535,x24536))
% 198.08/197.86 [2454]~E(x24541,x24542)+E(f398(x24543,x24544,x24541,x24545,x24546),f398(x24543,x24544,x24542,x24545,x24546))
% 198.08/197.86 [2455]~E(x24551,x24552)+E(f398(x24553,x24554,x24555,x24551,x24556),f398(x24553,x24554,x24555,x24552,x24556))
% 198.08/197.86 [2456]~E(x24561,x24562)+E(f398(x24563,x24564,x24565,x24566,x24561),f398(x24563,x24564,x24565,x24566,x24562))
% 198.08/197.86 [2457]~E(x24571,x24572)+E(f559(x24571,x24573,x24574,x24575,x24576,x24577),f559(x24572,x24573,x24574,x24575,x24576,x24577))
% 198.08/197.86 [2458]~E(x24581,x24582)+E(f559(x24583,x24581,x24584,x24585,x24586,x24587),f559(x24583,x24582,x24584,x24585,x24586,x24587))
% 198.08/197.86 [2459]~E(x24591,x24592)+E(f559(x24593,x24594,x24591,x24595,x24596,x24597),f559(x24593,x24594,x24592,x24595,x24596,x24597))
% 198.08/197.86 [2460]~E(x24601,x24602)+E(f559(x24603,x24604,x24605,x24601,x24606,x24607),f559(x24603,x24604,x24605,x24602,x24606,x24607))
% 198.08/197.86 [2461]~E(x24611,x24612)+E(f559(x24613,x24614,x24615,x24616,x24611,x24617),f559(x24613,x24614,x24615,x24616,x24612,x24617))
% 198.08/197.86 [2462]~E(x24621,x24622)+E(f559(x24623,x24624,x24625,x24626,x24627,x24621),f559(x24623,x24624,x24625,x24626,x24627,x24622))
% 198.08/197.86 [2463]~E(x24631,x24632)+E(f676(x24631,x24633,x24634),f676(x24632,x24633,x24634))
% 198.08/197.86 [2464]~E(x24641,x24642)+E(f676(x24643,x24641,x24644),f676(x24643,x24642,x24644))
% 198.08/197.86 [2465]~E(x24651,x24652)+E(f676(x24653,x24654,x24651),f676(x24653,x24654,x24652))
% 198.08/197.86 [2466]~E(x24661,x24662)+E(f222(x24661,x24663,x24664),f222(x24662,x24663,x24664))
% 198.08/197.86 [2467]~E(x24671,x24672)+E(f222(x24673,x24671,x24674),f222(x24673,x24672,x24674))
% 198.08/197.86 [2468]~E(x24681,x24682)+E(f222(x24683,x24684,x24681),f222(x24683,x24684,x24682))
% 198.08/197.86 [2469]~E(x24691,x24692)+E(f511(x24691,x24693,x24694,x24695),f511(x24692,x24693,x24694,x24695))
% 198.08/197.86 [2470]~E(x24701,x24702)+E(f511(x24703,x24701,x24704,x24705),f511(x24703,x24702,x24704,x24705))
% 198.08/197.86 [2471]~E(x24711,x24712)+E(f511(x24713,x24714,x24711,x24715),f511(x24713,x24714,x24712,x24715))
% 198.08/197.86 [2472]~E(x24721,x24722)+E(f511(x24723,x24724,x24725,x24721),f511(x24723,x24724,x24725,x24722))
% 198.08/197.86 [2473]~E(x24731,x24732)+E(f815(x24731,x24733),f815(x24732,x24733))
% 198.08/197.86 [2474]~E(x24741,x24742)+E(f815(x24743,x24741),f815(x24743,x24742))
% 198.08/197.86 [2475]~E(x24751,x24752)+E(f744(x24751,x24753),f744(x24752,x24753))
% 198.08/197.86 [2476]~E(x24761,x24762)+E(f744(x24763,x24761),f744(x24763,x24762))
% 198.08/197.86 [2477]~E(x24771,x24772)+E(f734(x24771,x24773,x24774),f734(x24772,x24773,x24774))
% 198.08/197.86 [2478]~E(x24781,x24782)+E(f734(x24783,x24781,x24784),f734(x24783,x24782,x24784))
% 198.08/197.86 [2479]~E(x24791,x24792)+E(f734(x24793,x24794,x24791),f734(x24793,x24794,x24792))
% 198.08/197.86 [2480]~E(x24801,x24802)+E(f226(x24801,x24803,x24804,x24805,x24806),f226(x24802,x24803,x24804,x24805,x24806))
% 198.08/197.86 [2481]~E(x24811,x24812)+E(f226(x24813,x24811,x24814,x24815,x24816),f226(x24813,x24812,x24814,x24815,x24816))
% 198.08/197.86 [2482]~E(x24821,x24822)+E(f226(x24823,x24824,x24821,x24825,x24826),f226(x24823,x24824,x24822,x24825,x24826))
% 198.08/197.86 [2483]~E(x24831,x24832)+E(f226(x24833,x24834,x24835,x24831,x24836),f226(x24833,x24834,x24835,x24832,x24836))
% 198.08/197.86 [2484]~E(x24841,x24842)+E(f226(x24843,x24844,x24845,x24846,x24841),f226(x24843,x24844,x24845,x24846,x24842))
% 198.08/197.86 [2485]~E(x24851,x24852)+E(f910(x24851,x24853,x24854,x24855),f910(x24852,x24853,x24854,x24855))
% 198.08/197.86 [2486]~E(x24861,x24862)+E(f910(x24863,x24861,x24864,x24865),f910(x24863,x24862,x24864,x24865))
% 198.08/197.86 [2487]~E(x24871,x24872)+E(f910(x24873,x24874,x24871,x24875),f910(x24873,x24874,x24872,x24875))
% 198.08/197.86 [2488]~E(x24881,x24882)+E(f910(x24883,x24884,x24885,x24881),f910(x24883,x24884,x24885,x24882))
% 198.08/197.86 [2489]~E(x24891,x24892)+E(f666(x24891,x24893,x24894),f666(x24892,x24893,x24894))
% 198.08/197.86 [2490]~E(x24901,x24902)+E(f666(x24903,x24901,x24904),f666(x24903,x24902,x24904))
% 198.08/197.86 [2491]~E(x24911,x24912)+E(f666(x24913,x24914,x24911),f666(x24913,x24914,x24912))
% 198.08/197.86 [2492]~E(x24921,x24922)+E(f405(x24921,x24923,x24924),f405(x24922,x24923,x24924))
% 198.08/197.86 [2493]~E(x24931,x24932)+E(f405(x24933,x24931,x24934),f405(x24933,x24932,x24934))
% 198.08/197.86 [2494]~E(x24941,x24942)+E(f405(x24943,x24944,x24941),f405(x24943,x24944,x24942))
% 198.08/197.86 [2495]~E(x24951,x24952)+E(f919(x24951,x24953,x24954,x24955,x24956,x24957),f919(x24952,x24953,x24954,x24955,x24956,x24957))
% 198.08/197.86 [2496]~E(x24961,x24962)+E(f919(x24963,x24961,x24964,x24965,x24966,x24967),f919(x24963,x24962,x24964,x24965,x24966,x24967))
% 198.08/197.86 [2497]~E(x24971,x24972)+E(f919(x24973,x24974,x24971,x24975,x24976,x24977),f919(x24973,x24974,x24972,x24975,x24976,x24977))
% 198.08/197.86 [2498]~E(x24981,x24982)+E(f919(x24983,x24984,x24985,x24981,x24986,x24987),f919(x24983,x24984,x24985,x24982,x24986,x24987))
% 198.08/197.86 [2499]~E(x24991,x24992)+E(f919(x24993,x24994,x24995,x24996,x24991,x24997),f919(x24993,x24994,x24995,x24996,x24992,x24997))
% 198.08/197.86 [2500]~E(x25001,x25002)+E(f919(x25003,x25004,x25005,x25006,x25007,x25001),f919(x25003,x25004,x25005,x25006,x25007,x25002))
% 198.08/197.86 [2501]~E(x25011,x25012)+E(f562(x25011,x25013,x25014,x25015,x25016),f562(x25012,x25013,x25014,x25015,x25016))
% 198.08/197.86 [2502]~E(x25021,x25022)+E(f562(x25023,x25021,x25024,x25025,x25026),f562(x25023,x25022,x25024,x25025,x25026))
% 198.08/197.86 [2503]~E(x25031,x25032)+E(f562(x25033,x25034,x25031,x25035,x25036),f562(x25033,x25034,x25032,x25035,x25036))
% 198.08/197.86 [2504]~E(x25041,x25042)+E(f562(x25043,x25044,x25045,x25041,x25046),f562(x25043,x25044,x25045,x25042,x25046))
% 198.08/197.86 [2505]~E(x25051,x25052)+E(f562(x25053,x25054,x25055,x25056,x25051),f562(x25053,x25054,x25055,x25056,x25052))
% 198.08/197.86 [2506]~E(x25061,x25062)+E(f355(x25061,x25063,x25064),f355(x25062,x25063,x25064))
% 198.08/197.86 [2507]~E(x25071,x25072)+E(f355(x25073,x25071,x25074),f355(x25073,x25072,x25074))
% 198.08/197.86 [2508]~E(x25081,x25082)+E(f355(x25083,x25084,x25081),f355(x25083,x25084,x25082))
% 198.08/197.86 [2509]~E(x25091,x25092)+E(f799(x25091),f799(x25092))
% 198.08/197.86 [2510]~E(x25101,x25102)+E(f490(x25101,x25103),f490(x25102,x25103))
% 198.08/197.86 [2511]~E(x25111,x25112)+E(f490(x25113,x25111),f490(x25113,x25112))
% 198.08/197.86 [2512]~E(x25121,x25122)+E(f840(x25121,x25123,x25124,x25125),f840(x25122,x25123,x25124,x25125))
% 198.08/197.86 [2513]~E(x25131,x25132)+E(f840(x25133,x25131,x25134,x25135),f840(x25133,x25132,x25134,x25135))
% 198.08/197.86 [2514]~E(x25141,x25142)+E(f840(x25143,x25144,x25141,x25145),f840(x25143,x25144,x25142,x25145))
% 198.08/197.86 [2515]~E(x25151,x25152)+E(f840(x25153,x25154,x25155,x25151),f840(x25153,x25154,x25155,x25152))
% 198.08/197.86 [2516]~E(x25161,x25162)+E(f740(x25161,x25163,x25164,x25165),f740(x25162,x25163,x25164,x25165))
% 198.08/197.86 [2517]~E(x25171,x25172)+E(f740(x25173,x25171,x25174,x25175),f740(x25173,x25172,x25174,x25175))
% 198.08/197.86 [2518]~E(x25181,x25182)+E(f740(x25183,x25184,x25181,x25185),f740(x25183,x25184,x25182,x25185))
% 198.08/197.86 [2519]~E(x25191,x25192)+E(f740(x25193,x25194,x25195,x25191),f740(x25193,x25194,x25195,x25192))
% 198.08/197.86 [2520]~E(x25201,x25202)+E(f647(x25201,x25203,x25204,x25205,x25206),f647(x25202,x25203,x25204,x25205,x25206))
% 198.08/197.86 [2521]~E(x25211,x25212)+E(f647(x25213,x25211,x25214,x25215,x25216),f647(x25213,x25212,x25214,x25215,x25216))
% 198.08/197.86 [2522]~E(x25221,x25222)+E(f647(x25223,x25224,x25221,x25225,x25226),f647(x25223,x25224,x25222,x25225,x25226))
% 198.08/197.86 [2523]~E(x25231,x25232)+E(f647(x25233,x25234,x25235,x25231,x25236),f647(x25233,x25234,x25235,x25232,x25236))
% 198.08/197.86 [2524]~E(x25241,x25242)+E(f647(x25243,x25244,x25245,x25246,x25241),f647(x25243,x25244,x25245,x25246,x25242))
% 198.08/197.86 [2525]~E(x25251,x25252)+E(f772(x25251,x25253,x25254),f772(x25252,x25253,x25254))
% 198.08/197.86 [2526]~E(x25261,x25262)+E(f772(x25263,x25261,x25264),f772(x25263,x25262,x25264))
% 198.08/197.86 [2527]~E(x25271,x25272)+E(f772(x25273,x25274,x25271),f772(x25273,x25274,x25272))
% 198.08/197.86 [2528]~E(x25281,x25282)+E(f770(x25281,x25283,x25284),f770(x25282,x25283,x25284))
% 198.08/197.86 [2529]~E(x25291,x25292)+E(f770(x25293,x25291,x25294),f770(x25293,x25292,x25294))
% 198.08/197.86 [2530]~E(x25301,x25302)+E(f770(x25303,x25304,x25301),f770(x25303,x25304,x25302))
% 198.08/197.86 [2531]~E(x25311,x25312)+E(f778(x25311,x25313,x25314),f778(x25312,x25313,x25314))
% 198.08/197.86 [2532]~E(x25321,x25322)+E(f778(x25323,x25321,x25324),f778(x25323,x25322,x25324))
% 198.08/197.86 [2533]~E(x25331,x25332)+E(f778(x25333,x25334,x25331),f778(x25333,x25334,x25332))
% 198.08/197.86 [2534]~E(x25341,x25342)+E(f371(x25341,x25343,x25344),f371(x25342,x25343,x25344))
% 198.08/197.86 [2535]~E(x25351,x25352)+E(f371(x25353,x25351,x25354),f371(x25353,x25352,x25354))
% 198.08/197.86 [2536]~E(x25361,x25362)+E(f371(x25363,x25364,x25361),f371(x25363,x25364,x25362))
% 198.08/197.86 [2537]~E(x25371,x25372)+E(f622(x25371,x25373,x25374),f622(x25372,x25373,x25374))
% 198.08/197.86 [2538]~E(x25381,x25382)+E(f622(x25383,x25381,x25384),f622(x25383,x25382,x25384))
% 198.08/197.86 [2539]~E(x25391,x25392)+E(f622(x25393,x25394,x25391),f622(x25393,x25394,x25392))
% 198.08/197.86 [2540]~E(x25401,x25402)+E(f536(x25401,x25403,x25404),f536(x25402,x25403,x25404))
% 198.08/197.86 [2541]~E(x25411,x25412)+E(f536(x25413,x25411,x25414),f536(x25413,x25412,x25414))
% 198.08/197.86 [2542]~E(x25421,x25422)+E(f536(x25423,x25424,x25421),f536(x25423,x25424,x25422))
% 198.08/197.86 [2543]~E(x25431,x25432)+E(f375(x25431,x25433,x25434),f375(x25432,x25433,x25434))
% 198.08/197.86 [2544]~E(x25441,x25442)+E(f375(x25443,x25441,x25444),f375(x25443,x25442,x25444))
% 198.08/197.86 [2545]~E(x25451,x25452)+E(f375(x25453,x25454,x25451),f375(x25453,x25454,x25452))
% 198.08/197.86 [2546]~E(x25461,x25462)+E(f664(x25461,x25463,x25464,x25465,x25466),f664(x25462,x25463,x25464,x25465,x25466))
% 198.08/197.86 [2547]~E(x25471,x25472)+E(f664(x25473,x25471,x25474,x25475,x25476),f664(x25473,x25472,x25474,x25475,x25476))
% 198.08/197.86 [2548]~E(x25481,x25482)+E(f664(x25483,x25484,x25481,x25485,x25486),f664(x25483,x25484,x25482,x25485,x25486))
% 198.08/197.86 [2549]~E(x25491,x25492)+E(f664(x25493,x25494,x25495,x25491,x25496),f664(x25493,x25494,x25495,x25492,x25496))
% 198.08/197.86 [2550]~E(x25501,x25502)+E(f664(x25503,x25504,x25505,x25506,x25501),f664(x25503,x25504,x25505,x25506,x25502))
% 198.08/197.86 [2551]~E(x25511,x25512)+E(f520(x25511,x25513,x25514,x25515),f520(x25512,x25513,x25514,x25515))
% 198.08/197.86 [2552]~E(x25521,x25522)+E(f520(x25523,x25521,x25524,x25525),f520(x25523,x25522,x25524,x25525))
% 198.08/197.86 [2553]~E(x25531,x25532)+E(f520(x25533,x25534,x25531,x25535),f520(x25533,x25534,x25532,x25535))
% 198.08/197.86 [2554]~E(x25541,x25542)+E(f520(x25543,x25544,x25545,x25541),f520(x25543,x25544,x25545,x25542))
% 198.08/197.86 [2555]~E(x25551,x25552)+E(f822(x25551,x25553),f822(x25552,x25553))
% 198.08/197.86 [2556]~E(x25561,x25562)+E(f822(x25563,x25561),f822(x25563,x25562))
% 198.08/197.86 [2557]~E(x25571,x25572)+E(f776(x25571,x25573,x25574),f776(x25572,x25573,x25574))
% 198.08/197.86 [2558]~E(x25581,x25582)+E(f776(x25583,x25581,x25584),f776(x25583,x25582,x25584))
% 198.08/197.86 [2559]~E(x25591,x25592)+E(f776(x25593,x25594,x25591),f776(x25593,x25594,x25592))
% 198.08/197.86 [2560]~E(x25601,x25602)+E(f874(x25601,x25603,x25604),f874(x25602,x25603,x25604))
% 198.08/197.86 [2561]~E(x25611,x25612)+E(f874(x25613,x25611,x25614),f874(x25613,x25612,x25614))
% 198.08/197.86 [2562]~E(x25621,x25622)+E(f874(x25623,x25624,x25621),f874(x25623,x25624,x25622))
% 198.08/197.86 [2563]~E(x25631,x25632)+E(f904(x25631,x25633),f904(x25632,x25633))
% 198.08/197.86 [2564]~E(x25641,x25642)+E(f904(x25643,x25641),f904(x25643,x25642))
% 198.08/197.86 [2565]~E(x25651,x25652)+E(f582(x25651,x25653),f582(x25652,x25653))
% 198.08/197.86 [2566]~E(x25661,x25662)+E(f582(x25663,x25661),f582(x25663,x25662))
% 198.08/197.86 [2567]~E(x25671,x25672)+E(f420(x25671,x25673,x25674,x25675),f420(x25672,x25673,x25674,x25675))
% 198.08/197.86 [2568]~E(x25681,x25682)+E(f420(x25683,x25681,x25684,x25685),f420(x25683,x25682,x25684,x25685))
% 198.08/197.86 [2569]~E(x25691,x25692)+E(f420(x25693,x25694,x25691,x25695),f420(x25693,x25694,x25692,x25695))
% 198.08/197.86 [2570]~E(x25701,x25702)+E(f420(x25703,x25704,x25705,x25701),f420(x25703,x25704,x25705,x25702))
% 198.08/197.86 [2571]~E(x25711,x25712)+E(f479(x25711,x25713,x25714,x25715,x25716),f479(x25712,x25713,x25714,x25715,x25716))
% 198.08/197.86 [2572]~E(x25721,x25722)+E(f479(x25723,x25721,x25724,x25725,x25726),f479(x25723,x25722,x25724,x25725,x25726))
% 198.08/197.86 [2573]~E(x25731,x25732)+E(f479(x25733,x25734,x25731,x25735,x25736),f479(x25733,x25734,x25732,x25735,x25736))
% 198.08/197.86 [2574]~E(x25741,x25742)+E(f479(x25743,x25744,x25745,x25741,x25746),f479(x25743,x25744,x25745,x25742,x25746))
% 198.08/197.86 [2575]~E(x25751,x25752)+E(f479(x25753,x25754,x25755,x25756,x25751),f479(x25753,x25754,x25755,x25756,x25752))
% 198.08/197.86 [2576]~E(x25761,x25762)+E(f404(x25761,x25763,x25764),f404(x25762,x25763,x25764))
% 198.08/197.86 [2577]~E(x25771,x25772)+E(f404(x25773,x25771,x25774),f404(x25773,x25772,x25774))
% 198.08/197.86 [2578]~E(x25781,x25782)+E(f404(x25783,x25784,x25781),f404(x25783,x25784,x25782))
% 198.08/197.86 [2579]~E(x25791,x25792)+E(f393(x25791,x25793),f393(x25792,x25793))
% 198.08/197.86 [2580]~E(x25801,x25802)+E(f393(x25803,x25801),f393(x25803,x25802))
% 198.08/197.86 [2581]~E(x25811,x25812)+E(f553(x25811,x25813,x25814,x25815),f553(x25812,x25813,x25814,x25815))
% 198.08/197.86 [2582]~E(x25821,x25822)+E(f553(x25823,x25821,x25824,x25825),f553(x25823,x25822,x25824,x25825))
% 198.08/197.86 [2583]~E(x25831,x25832)+E(f553(x25833,x25834,x25831,x25835),f553(x25833,x25834,x25832,x25835))
% 198.08/197.86 [2584]~E(x25841,x25842)+E(f553(x25843,x25844,x25845,x25841),f553(x25843,x25844,x25845,x25842))
% 198.08/197.86 [2585]~E(x25851,x25852)+E(f42(x25851),f42(x25852))
% 198.08/197.86 [2586]~E(x25861,x25862)+E(f688(x25861,x25863,x25864),f688(x25862,x25863,x25864))
% 198.08/197.86 [2587]~E(x25871,x25872)+E(f688(x25873,x25871,x25874),f688(x25873,x25872,x25874))
% 198.08/197.86 [2588]~E(x25881,x25882)+E(f688(x25883,x25884,x25881),f688(x25883,x25884,x25882))
% 198.08/197.86 [2589]~E(x25891,x25892)+E(f702(x25891,x25893,x25894),f702(x25892,x25893,x25894))
% 198.08/197.86 [2590]~E(x25901,x25902)+E(f702(x25903,x25901,x25904),f702(x25903,x25902,x25904))
% 198.08/197.86 [2591]~E(x25911,x25912)+E(f702(x25913,x25914,x25911),f702(x25913,x25914,x25912))
% 198.08/197.86 [2592]~E(x25921,x25922)+E(f163(x25921,x25923,x25924,x25925),f163(x25922,x25923,x25924,x25925))
% 198.08/197.86 [2593]~E(x25931,x25932)+E(f163(x25933,x25931,x25934,x25935),f163(x25933,x25932,x25934,x25935))
% 198.08/197.86 [2594]~E(x25941,x25942)+E(f163(x25943,x25944,x25941,x25945),f163(x25943,x25944,x25942,x25945))
% 198.08/197.86 [2595]~E(x25951,x25952)+E(f163(x25953,x25954,x25955,x25951),f163(x25953,x25954,x25955,x25952))
% 198.08/197.86 [2596]~E(x25961,x25962)+E(f391(x25961,x25963),f391(x25962,x25963))
% 198.08/197.86 [2597]~E(x25971,x25972)+E(f391(x25973,x25971),f391(x25973,x25972))
% 198.08/197.86 [2598]~E(x25981,x25982)+E(f767(x25981,x25983,x25984),f767(x25982,x25983,x25984))
% 198.08/197.86 [2599]~E(x25991,x25992)+E(f767(x25993,x25991,x25994),f767(x25993,x25992,x25994))
% 198.08/197.86 [2600]~E(x26001,x26002)+E(f767(x26003,x26004,x26001),f767(x26003,x26004,x26002))
% 198.08/197.86 [2601]~E(x26011,x26012)+E(f573(x26011,x26013),f573(x26012,x26013))
% 198.08/197.86 [2602]~E(x26021,x26022)+E(f573(x26023,x26021),f573(x26023,x26022))
% 198.08/197.86 [2603]~E(x26031,x26032)+E(f651(x26031,x26033,x26034,x26035,x26036),f651(x26032,x26033,x26034,x26035,x26036))
% 198.08/197.86 [2604]~E(x26041,x26042)+E(f651(x26043,x26041,x26044,x26045,x26046),f651(x26043,x26042,x26044,x26045,x26046))
% 198.08/197.86 [2605]~E(x26051,x26052)+E(f651(x26053,x26054,x26051,x26055,x26056),f651(x26053,x26054,x26052,x26055,x26056))
% 198.08/197.86 [2606]~E(x26061,x26062)+E(f651(x26063,x26064,x26065,x26061,x26066),f651(x26063,x26064,x26065,x26062,x26066))
% 198.08/197.86 [2607]~E(x26071,x26072)+E(f651(x26073,x26074,x26075,x26076,x26071),f651(x26073,x26074,x26075,x26076,x26072))
% 198.08/197.86 [2608]~E(x26081,x26082)+E(f542(x26081,x26083,x26084),f542(x26082,x26083,x26084))
% 198.08/197.86 [2609]~E(x26091,x26092)+E(f542(x26093,x26091,x26094),f542(x26093,x26092,x26094))
% 198.08/197.86 [2610]~E(x26101,x26102)+E(f542(x26103,x26104,x26101),f542(x26103,x26104,x26102))
% 198.08/197.86 [2611]~E(x26111,x26112)+E(f817(x26111,x26113,x26114),f817(x26112,x26113,x26114))
% 198.08/197.86 [2612]~E(x26121,x26122)+E(f817(x26123,x26121,x26124),f817(x26123,x26122,x26124))
% 198.08/197.86 [2613]~E(x26131,x26132)+E(f817(x26133,x26134,x26131),f817(x26133,x26134,x26132))
% 198.08/197.86 [2614]~E(x26141,x26142)+E(f889(x26141,x26143,x26144),f889(x26142,x26143,x26144))
% 198.08/197.86 [2615]~E(x26151,x26152)+E(f889(x26153,x26151,x26154),f889(x26153,x26152,x26154))
% 198.08/197.86 [2616]~E(x26161,x26162)+E(f889(x26163,x26164,x26161),f889(x26163,x26164,x26162))
% 198.08/197.86 [2617]~E(x26171,x26172)+E(f503(x26171,x26173),f503(x26172,x26173))
% 198.08/197.86 [2618]~E(x26181,x26182)+E(f503(x26183,x26181),f503(x26183,x26182))
% 198.08/197.86 [2619]~E(x26191,x26192)+E(f447(x26191,x26193,x26194),f447(x26192,x26193,x26194))
% 198.08/197.86 [2620]~E(x26201,x26202)+E(f447(x26203,x26201,x26204),f447(x26203,x26202,x26204))
% 198.08/197.86 [2621]~E(x26211,x26212)+E(f447(x26213,x26214,x26211),f447(x26213,x26214,x26212))
% 198.08/197.86 [2622]~E(x26221,x26222)+E(f571(x26221,x26223),f571(x26222,x26223))
% 198.08/197.86 [2623]~E(x26231,x26232)+E(f571(x26233,x26231),f571(x26233,x26232))
% 198.08/197.86 [2624]~E(x26241,x26242)+E(f825(x26241,x26243,x26244,x26245,x26246),f825(x26242,x26243,x26244,x26245,x26246))
% 198.08/197.86 [2625]~E(x26251,x26252)+E(f825(x26253,x26251,x26254,x26255,x26256),f825(x26253,x26252,x26254,x26255,x26256))
% 198.08/197.86 [2626]~E(x26261,x26262)+E(f825(x26263,x26264,x26261,x26265,x26266),f825(x26263,x26264,x26262,x26265,x26266))
% 198.08/197.86 [2627]~E(x26271,x26272)+E(f825(x26273,x26274,x26275,x26271,x26276),f825(x26273,x26274,x26275,x26272,x26276))
% 198.08/197.86 [2628]~E(x26281,x26282)+E(f825(x26283,x26284,x26285,x26286,x26281),f825(x26283,x26284,x26285,x26286,x26282))
% 198.08/197.86 [2629]~E(x26291,x26292)+E(f753(x26291,x26293,x26294,x26295,x26296),f753(x26292,x26293,x26294,x26295,x26296))
% 198.08/197.86 [2630]~E(x26301,x26302)+E(f753(x26303,x26301,x26304,x26305,x26306),f753(x26303,x26302,x26304,x26305,x26306))
% 198.08/197.86 [2631]~E(x26311,x26312)+E(f753(x26313,x26314,x26311,x26315,x26316),f753(x26313,x26314,x26312,x26315,x26316))
% 198.08/197.86 [2632]~E(x26321,x26322)+E(f753(x26323,x26324,x26325,x26321,x26326),f753(x26323,x26324,x26325,x26322,x26326))
% 198.08/197.86 [2633]~E(x26331,x26332)+E(f753(x26333,x26334,x26335,x26336,x26331),f753(x26333,x26334,x26335,x26336,x26332))
% 198.08/197.86 [2634]~E(x26341,x26342)+E(f711(x26341,x26343,x26344,x26345,x26346),f711(x26342,x26343,x26344,x26345,x26346))
% 198.08/197.86 [2635]~E(x26351,x26352)+E(f711(x26353,x26351,x26354,x26355,x26356),f711(x26353,x26352,x26354,x26355,x26356))
% 198.08/197.86 [2636]~E(x26361,x26362)+E(f711(x26363,x26364,x26361,x26365,x26366),f711(x26363,x26364,x26362,x26365,x26366))
% 198.08/197.86 [2637]~E(x26371,x26372)+E(f711(x26373,x26374,x26375,x26371,x26376),f711(x26373,x26374,x26375,x26372,x26376))
% 198.08/197.86 [2638]~E(x26381,x26382)+E(f711(x26383,x26384,x26385,x26386,x26381),f711(x26383,x26384,x26385,x26386,x26382))
% 198.08/197.86 [2639]~E(x26391,x26392)+E(f475(x26391,x26393),f475(x26392,x26393))
% 198.08/197.86 [2640]~E(x26401,x26402)+E(f475(x26403,x26401),f475(x26403,x26402))
% 198.08/197.86 [2641]~E(x26411,x26412)+E(f555(x26411),f555(x26412))
% 198.08/197.86 [2642]~E(x26421,x26422)+E(f491(x26421,x26423,x26424,x26425,x26426),f491(x26422,x26423,x26424,x26425,x26426))
% 198.08/197.86 [2643]~E(x26431,x26432)+E(f491(x26433,x26431,x26434,x26435,x26436),f491(x26433,x26432,x26434,x26435,x26436))
% 198.08/197.86 [2644]~E(x26441,x26442)+E(f491(x26443,x26444,x26441,x26445,x26446),f491(x26443,x26444,x26442,x26445,x26446))
% 198.08/197.86 [2645]~E(x26451,x26452)+E(f491(x26453,x26454,x26455,x26451,x26456),f491(x26453,x26454,x26455,x26452,x26456))
% 198.08/197.86 [2646]~E(x26461,x26462)+E(f491(x26463,x26464,x26465,x26466,x26461),f491(x26463,x26464,x26465,x26466,x26462))
% 198.08/197.86 [2647]~E(x26471,x26472)+E(f470(x26471,x26473),f470(x26472,x26473))
% 198.08/197.86 [2648]~E(x26481,x26482)+E(f470(x26483,x26481),f470(x26483,x26482))
% 198.08/197.86 [2649]~E(x26491,x26492)+E(f608(x26491,x26493,x26494,x26495,x26496,x26497,x26498,x26499),f608(x26492,x26493,x26494,x26495,x26496,x26497,x26498,x26499))
% 198.08/197.86 [2650]~E(x26501,x26502)+E(f608(x26503,x26501,x26504,x26505,x26506,x26507,x26508,x26509),f608(x26503,x26502,x26504,x26505,x26506,x26507,x26508,x26509))
% 198.08/197.86 [2651]~E(x26511,x26512)+E(f608(x26513,x26514,x26511,x26515,x26516,x26517,x26518,x26519),f608(x26513,x26514,x26512,x26515,x26516,x26517,x26518,x26519))
% 198.08/197.86 [2652]~E(x26521,x26522)+E(f608(x26523,x26524,x26525,x26521,x26526,x26527,x26528,x26529),f608(x26523,x26524,x26525,x26522,x26526,x26527,x26528,x26529))
% 198.08/197.86 [2653]~E(x26531,x26532)+E(f608(x26533,x26534,x26535,x26536,x26531,x26537,x26538,x26539),f608(x26533,x26534,x26535,x26536,x26532,x26537,x26538,x26539))
% 198.08/197.86 [2654]~E(x26541,x26542)+E(f608(x26543,x26544,x26545,x26546,x26547,x26541,x26548,x26549),f608(x26543,x26544,x26545,x26546,x26547,x26542,x26548,x26549))
% 198.08/197.86 [2655]~E(x26551,x26552)+E(f608(x26553,x26554,x26555,x26556,x26557,x26558,x26551,x26559),f608(x26553,x26554,x26555,x26556,x26557,x26558,x26552,x26559))
% 198.08/197.86 [2656]~E(x26561,x26562)+E(f608(x26563,x26564,x26565,x26566,x26567,x26568,x26569,x26561),f608(x26563,x26564,x26565,x26566,x26567,x26568,x26569,x26562))
% 198.08/197.86 [2657]~E(x26571,x26572)+E(f682(x26571,x26573,x26574,x26575),f682(x26572,x26573,x26574,x26575))
% 198.08/197.86 [2658]~E(x26581,x26582)+E(f682(x26583,x26581,x26584,x26585),f682(x26583,x26582,x26584,x26585))
% 198.08/197.86 [2659]~E(x26591,x26592)+E(f682(x26593,x26594,x26591,x26595),f682(x26593,x26594,x26592,x26595))
% 198.08/197.86 [2660]~E(x26601,x26602)+E(f682(x26603,x26604,x26605,x26601),f682(x26603,x26604,x26605,x26602))
% 198.08/197.86 [2661]~E(x26611,x26612)+E(f763(x26611,x26613,x26614),f763(x26612,x26613,x26614))
% 198.08/197.86 [2662]~E(x26621,x26622)+E(f763(x26623,x26621,x26624),f763(x26623,x26622,x26624))
% 198.08/197.86 [2663]~E(x26631,x26632)+E(f763(x26633,x26634,x26631),f763(x26633,x26634,x26632))
% 198.08/197.86 [2664]~E(x26641,x26642)+E(f461(x26641,x26643,x26644,x26645),f461(x26642,x26643,x26644,x26645))
% 198.08/197.86 [2665]~E(x26651,x26652)+E(f461(x26653,x26651,x26654,x26655),f461(x26653,x26652,x26654,x26655))
% 198.08/197.86 [2666]~E(x26661,x26662)+E(f461(x26663,x26664,x26661,x26665),f461(x26663,x26664,x26662,x26665))
% 198.08/197.86 [2667]~E(x26671,x26672)+E(f461(x26673,x26674,x26675,x26671),f461(x26673,x26674,x26675,x26672))
% 198.08/197.86 [2668]~E(x26681,x26682)+E(f311(x26681,x26683),f311(x26682,x26683))
% 198.08/197.86 [2669]~E(x26691,x26692)+E(f311(x26693,x26691),f311(x26693,x26692))
% 198.08/197.86 [2670]~E(x26701,x26702)+E(f579(x26701,x26703,x26704,x26705),f579(x26702,x26703,x26704,x26705))
% 198.08/197.86 [2671]~E(x26711,x26712)+E(f579(x26713,x26711,x26714,x26715),f579(x26713,x26712,x26714,x26715))
% 198.08/197.86 [2672]~E(x26721,x26722)+E(f579(x26723,x26724,x26721,x26725),f579(x26723,x26724,x26722,x26725))
% 198.08/197.86 [2673]~E(x26731,x26732)+E(f579(x26733,x26734,x26735,x26731),f579(x26733,x26734,x26735,x26732))
% 198.08/197.86 [2674]~E(x26741,x26742)+E(f429(x26741,x26743),f429(x26742,x26743))
% 198.08/197.86 [2675]~E(x26751,x26752)+E(f429(x26753,x26751),f429(x26753,x26752))
% 198.08/197.86 [2676]~E(x26761,x26762)+E(f678(x26761,x26763),f678(x26762,x26763))
% 198.08/197.86 [2677]~E(x26771,x26772)+E(f678(x26773,x26771),f678(x26773,x26772))
% 198.08/197.86 [2678]~E(x26781,x26782)+E(f474(x26781,x26783,x26784,x26785),f474(x26782,x26783,x26784,x26785))
% 198.08/197.86 [2679]~E(x26791,x26792)+E(f474(x26793,x26791,x26794,x26795),f474(x26793,x26792,x26794,x26795))
% 198.08/197.86 [2680]~E(x26801,x26802)+E(f474(x26803,x26804,x26801,x26805),f474(x26803,x26804,x26802,x26805))
% 198.08/197.86 [2681]~E(x26811,x26812)+E(f474(x26813,x26814,x26815,x26811),f474(x26813,x26814,x26815,x26812))
% 198.08/197.86 [2682]~E(x26821,x26822)+E(f487(x26821,x26823),f487(x26822,x26823))
% 198.08/197.86 [2683]~E(x26831,x26832)+E(f487(x26833,x26831),f487(x26833,x26832))
% 198.08/197.86 [2684]~E(x26841,x26842)+E(f297(x26841,x26843,x26844),f297(x26842,x26843,x26844))
% 198.08/197.86 [2685]~E(x26851,x26852)+E(f297(x26853,x26851,x26854),f297(x26853,x26852,x26854))
% 198.08/197.86 [2686]~E(x26861,x26862)+E(f297(x26863,x26864,x26861),f297(x26863,x26864,x26862))
% 198.08/197.86 [2687]~E(x26871,x26872)+E(f896(x26871,x26873,x26874,x26875,x26876,x26877),f896(x26872,x26873,x26874,x26875,x26876,x26877))
% 198.08/197.86 [2688]~E(x26881,x26882)+E(f896(x26883,x26881,x26884,x26885,x26886,x26887),f896(x26883,x26882,x26884,x26885,x26886,x26887))
% 198.08/197.86 [2689]~E(x26891,x26892)+E(f896(x26893,x26894,x26891,x26895,x26896,x26897),f896(x26893,x26894,x26892,x26895,x26896,x26897))
% 198.08/197.86 [2690]~E(x26901,x26902)+E(f896(x26903,x26904,x26905,x26901,x26906,x26907),f896(x26903,x26904,x26905,x26902,x26906,x26907))
% 198.08/197.86 [2691]~E(x26911,x26912)+E(f896(x26913,x26914,x26915,x26916,x26911,x26917),f896(x26913,x26914,x26915,x26916,x26912,x26917))
% 198.08/197.86 [2692]~E(x26921,x26922)+E(f896(x26923,x26924,x26925,x26926,x26927,x26921),f896(x26923,x26924,x26925,x26926,x26927,x26922))
% 198.08/197.86 [2693]~E(x26931,x26932)+E(f418(x26931),f418(x26932))
% 198.08/197.86 [2694]~E(x26941,x26942)+E(f231(x26941,x26943,x26944,x26945),f231(x26942,x26943,x26944,x26945))
% 198.08/197.86 [2695]~E(x26951,x26952)+E(f231(x26953,x26951,x26954,x26955),f231(x26953,x26952,x26954,x26955))
% 198.08/197.86 [2696]~E(x26961,x26962)+E(f231(x26963,x26964,x26961,x26965),f231(x26963,x26964,x26962,x26965))
% 198.08/197.86 [2697]~E(x26971,x26972)+E(f231(x26973,x26974,x26975,x26971),f231(x26973,x26974,x26975,x26972))
% 198.08/197.86 [2698]~E(x26981,x26982)+E(f365(x26981),f365(x26982))
% 198.08/197.86 [2699]~E(x26991,x26992)+E(f901(x26991,x26993,x26994,x26995,x26996),f901(x26992,x26993,x26994,x26995,x26996))
% 198.08/197.86 [2700]~E(x27001,x27002)+E(f901(x27003,x27001,x27004,x27005,x27006),f901(x27003,x27002,x27004,x27005,x27006))
% 198.08/197.86 [2701]~E(x27011,x27012)+E(f901(x27013,x27014,x27011,x27015,x27016),f901(x27013,x27014,x27012,x27015,x27016))
% 198.08/197.86 [2702]~E(x27021,x27022)+E(f901(x27023,x27024,x27025,x27021,x27026),f901(x27023,x27024,x27025,x27022,x27026))
% 198.08/197.86 [2703]~E(x27031,x27032)+E(f901(x27033,x27034,x27035,x27036,x27031),f901(x27033,x27034,x27035,x27036,x27032))
% 198.08/197.86 [2704]~E(x27041,x27042)+E(f370(x27041),f370(x27042))
% 198.08/197.86 [2705]~E(x27051,x27052)+E(f658(x27051,x27053,x27054,x27055),f658(x27052,x27053,x27054,x27055))
% 198.08/197.86 [2706]~E(x27061,x27062)+E(f658(x27063,x27061,x27064,x27065),f658(x27063,x27062,x27064,x27065))
% 198.08/197.86 [2707]~E(x27071,x27072)+E(f658(x27073,x27074,x27071,x27075),f658(x27073,x27074,x27072,x27075))
% 198.08/197.86 [2708]~E(x27081,x27082)+E(f658(x27083,x27084,x27085,x27081),f658(x27083,x27084,x27085,x27082))
% 198.08/197.86 [2709]~E(x27091,x27092)+E(f569(x27091,x27093),f569(x27092,x27093))
% 198.08/197.86 [2710]~E(x27101,x27102)+E(f569(x27103,x27101),f569(x27103,x27102))
% 198.08/197.86 [2711]~E(x27111,x27112)+E(f402(x27111,x27113),f402(x27112,x27113))
% 198.08/197.86 [2712]~E(x27121,x27122)+E(f402(x27123,x27121),f402(x27123,x27122))
% 198.08/197.86 [2713]~E(x27131,x27132)+E(f843(x27131,x27133,x27134,x27135,x27136),f843(x27132,x27133,x27134,x27135,x27136))
% 198.08/197.86 [2714]~E(x27141,x27142)+E(f843(x27143,x27141,x27144,x27145,x27146),f843(x27143,x27142,x27144,x27145,x27146))
% 198.08/197.86 [2715]~E(x27151,x27152)+E(f843(x27153,x27154,x27151,x27155,x27156),f843(x27153,x27154,x27152,x27155,x27156))
% 198.08/197.86 [2716]~E(x27161,x27162)+E(f843(x27163,x27164,x27165,x27161,x27166),f843(x27163,x27164,x27165,x27162,x27166))
% 198.08/197.86 [2717]~E(x27171,x27172)+E(f843(x27173,x27174,x27175,x27176,x27171),f843(x27173,x27174,x27175,x27176,x27172))
% 198.08/197.86 [2718]~E(x27181,x27182)+E(f923(x27181),f923(x27182))
% 198.08/197.86 [2719]~E(x27191,x27192)+E(f915(x27191,x27193,x27194),f915(x27192,x27193,x27194))
% 198.08/197.86 [2720]~E(x27201,x27202)+E(f915(x27203,x27201,x27204),f915(x27203,x27202,x27204))
% 198.08/197.86 [2721]~E(x27211,x27212)+E(f915(x27213,x27214,x27211),f915(x27213,x27214,x27212))
% 198.08/197.86 [2722]~E(x27221,x27222)+E(f616(x27221,x27223,x27224,x27225,x27226,x27227),f616(x27222,x27223,x27224,x27225,x27226,x27227))
% 198.08/197.86 [2723]~E(x27231,x27232)+E(f616(x27233,x27231,x27234,x27235,x27236,x27237),f616(x27233,x27232,x27234,x27235,x27236,x27237))
% 198.08/197.86 [2724]~E(x27241,x27242)+E(f616(x27243,x27244,x27241,x27245,x27246,x27247),f616(x27243,x27244,x27242,x27245,x27246,x27247))
% 198.08/197.86 [2725]~E(x27251,x27252)+E(f616(x27253,x27254,x27255,x27251,x27256,x27257),f616(x27253,x27254,x27255,x27252,x27256,x27257))
% 198.08/197.86 [2726]~E(x27261,x27262)+E(f616(x27263,x27264,x27265,x27266,x27261,x27267),f616(x27263,x27264,x27265,x27266,x27262,x27267))
% 198.08/197.86 [2727]~E(x27271,x27272)+E(f616(x27273,x27274,x27275,x27276,x27277,x27271),f616(x27273,x27274,x27275,x27276,x27277,x27272))
% 198.08/197.86 [2728]~E(x27281,x27282)+E(f510(x27281,x27283,x27284,x27285),f510(x27282,x27283,x27284,x27285))
% 198.08/197.86 [2729]~E(x27291,x27292)+E(f510(x27293,x27291,x27294,x27295),f510(x27293,x27292,x27294,x27295))
% 198.08/197.86 [2730]~E(x27301,x27302)+E(f510(x27303,x27304,x27301,x27305),f510(x27303,x27304,x27302,x27305))
% 198.08/197.86 [2731]~E(x27311,x27312)+E(f510(x27313,x27314,x27315,x27311),f510(x27313,x27314,x27315,x27312))
% 198.08/197.86 [2732]~E(x27321,x27322)+E(f338(x27321,x27323),f338(x27322,x27323))
% 198.08/197.86 [2733]~E(x27331,x27332)+E(f338(x27333,x27331),f338(x27333,x27332))
% 198.08/197.86 [2734]~E(x27341,x27342)+E(f585(x27341,x27343,x27344,x27345),f585(x27342,x27343,x27344,x27345))
% 198.08/197.86 [2735]~E(x27351,x27352)+E(f585(x27353,x27351,x27354,x27355),f585(x27353,x27352,x27354,x27355))
% 198.08/197.86 [2736]~E(x27361,x27362)+E(f585(x27363,x27364,x27361,x27365),f585(x27363,x27364,x27362,x27365))
% 198.08/197.86 [2737]~E(x27371,x27372)+E(f585(x27373,x27374,x27375,x27371),f585(x27373,x27374,x27375,x27372))
% 198.08/197.86 [2738]~E(x27381,x27382)+E(f278(x27381,x27383,x27384,x27385),f278(x27382,x27383,x27384,x27385))
% 198.08/197.86 [2739]~E(x27391,x27392)+E(f278(x27393,x27391,x27394,x27395),f278(x27393,x27392,x27394,x27395))
% 198.08/197.86 [2740]~E(x27401,x27402)+E(f278(x27403,x27404,x27401,x27405),f278(x27403,x27404,x27402,x27405))
% 198.08/197.86 [2741]~E(x27411,x27412)+E(f278(x27413,x27414,x27415,x27411),f278(x27413,x27414,x27415,x27412))
% 198.08/197.86 [2742]~E(x27421,x27422)+E(f218(x27421,x27423),f218(x27422,x27423))
% 198.08/197.86 [2743]~E(x27431,x27432)+E(f218(x27433,x27431),f218(x27433,x27432))
% 198.08/197.86 [2744]~E(x27441,x27442)+E(f93(x27441,x27443,x27444),f93(x27442,x27443,x27444))
% 198.08/197.86 [2745]~E(x27451,x27452)+E(f93(x27453,x27451,x27454),f93(x27453,x27452,x27454))
% 198.08/197.86 [2746]~E(x27461,x27462)+E(f93(x27463,x27464,x27461),f93(x27463,x27464,x27462))
% 198.08/197.86 [2747]~E(x27471,x27472)+E(f358(x27471,x27473,x27474,x27475,x27476,x27477,x27478),f358(x27472,x27473,x27474,x27475,x27476,x27477,x27478))
% 198.08/197.86 [2748]~E(x27481,x27482)+E(f358(x27483,x27481,x27484,x27485,x27486,x27487,x27488),f358(x27483,x27482,x27484,x27485,x27486,x27487,x27488))
% 198.08/197.86 [2749]~E(x27491,x27492)+E(f358(x27493,x27494,x27491,x27495,x27496,x27497,x27498),f358(x27493,x27494,x27492,x27495,x27496,x27497,x27498))
% 198.08/197.86 [2750]~E(x27501,x27502)+E(f358(x27503,x27504,x27505,x27501,x27506,x27507,x27508),f358(x27503,x27504,x27505,x27502,x27506,x27507,x27508))
% 198.08/197.86 [2751]~E(x27511,x27512)+E(f358(x27513,x27514,x27515,x27516,x27511,x27517,x27518),f358(x27513,x27514,x27515,x27516,x27512,x27517,x27518))
% 198.08/197.86 [2752]~E(x27521,x27522)+E(f358(x27523,x27524,x27525,x27526,x27527,x27521,x27528),f358(x27523,x27524,x27525,x27526,x27527,x27522,x27528))
% 198.08/197.86 [2753]~E(x27531,x27532)+E(f358(x27533,x27534,x27535,x27536,x27537,x27538,x27531),f358(x27533,x27534,x27535,x27536,x27537,x27538,x27532))
% 198.08/197.86 [2754]~E(x27541,x27542)+E(f598(x27541,x27543,x27544),f598(x27542,x27543,x27544))
% 198.08/197.86 [2755]~E(x27551,x27552)+E(f598(x27553,x27551,x27554),f598(x27553,x27552,x27554))
% 198.08/197.86 [2756]~E(x27561,x27562)+E(f598(x27563,x27564,x27561),f598(x27563,x27564,x27562))
% 198.08/197.86 [2757]~E(x27571,x27572)+E(f572(x27571,x27573,x27574),f572(x27572,x27573,x27574))
% 198.08/197.86 [2758]~E(x27581,x27582)+E(f572(x27583,x27581,x27584),f572(x27583,x27582,x27584))
% 198.08/197.86 [2759]~E(x27591,x27592)+E(f572(x27593,x27594,x27591),f572(x27593,x27594,x27592))
% 198.08/197.86 [2760]~E(x27601,x27602)+E(f428(x27601,x27603),f428(x27602,x27603))
% 198.08/197.86 [2761]~E(x27611,x27612)+E(f428(x27613,x27611),f428(x27613,x27612))
% 198.08/197.86 [2762]~E(x27621,x27622)+E(f73(x27621,x27623),f73(x27622,x27623))
% 198.08/197.86 [2763]~E(x27631,x27632)+E(f73(x27633,x27631),f73(x27633,x27632))
% 198.08/197.86 [2764]~E(x27641,x27642)+E(f580(x27641,x27643,x27644,x27645),f580(x27642,x27643,x27644,x27645))
% 198.08/197.86 [2765]~E(x27651,x27652)+E(f580(x27653,x27651,x27654,x27655),f580(x27653,x27652,x27654,x27655))
% 198.08/197.86 [2766]~E(x27661,x27662)+E(f580(x27663,x27664,x27661,x27665),f580(x27663,x27664,x27662,x27665))
% 198.08/197.86 [2767]~E(x27671,x27672)+E(f580(x27673,x27674,x27675,x27671),f580(x27673,x27674,x27675,x27672))
% 198.08/197.86 [2768]~E(x27681,x27682)+E(f570(x27681,x27683),f570(x27682,x27683))
% 198.08/197.86 [2769]~E(x27691,x27692)+E(f570(x27693,x27691),f570(x27693,x27692))
% 198.08/197.86 [2770]~E(x27701,x27702)+E(f276(x27701,x27703,x27704,x27705),f276(x27702,x27703,x27704,x27705))
% 198.08/197.86 [2771]~E(x27711,x27712)+E(f276(x27713,x27711,x27714,x27715),f276(x27713,x27712,x27714,x27715))
% 198.08/197.86 [2772]~E(x27721,x27722)+E(f276(x27723,x27724,x27721,x27725),f276(x27723,x27724,x27722,x27725))
% 198.08/197.86 [2773]~E(x27731,x27732)+E(f276(x27733,x27734,x27735,x27731),f276(x27733,x27734,x27735,x27732))
% 198.08/197.86 [2774]~E(x27741,x27742)+E(f703(x27741,x27743,x27744),f703(x27742,x27743,x27744))
% 198.08/197.86 [2775]~E(x27751,x27752)+E(f703(x27753,x27751,x27754),f703(x27753,x27752,x27754))
% 198.08/197.86 [2776]~E(x27761,x27762)+E(f703(x27763,x27764,x27761),f703(x27763,x27764,x27762))
% 198.08/197.86 [2777]~E(x27771,x27772)+E(f873(x27771,x27773,x27774),f873(x27772,x27773,x27774))
% 198.08/197.86 [2778]~E(x27781,x27782)+E(f873(x27783,x27781,x27784),f873(x27783,x27782,x27784))
% 198.08/197.86 [2779]~E(x27791,x27792)+E(f873(x27793,x27794,x27791),f873(x27793,x27794,x27792))
% 198.08/197.86 [2780]~E(x27801,x27802)+E(f610(x27801,x27803,x27804),f610(x27802,x27803,x27804))
% 198.08/197.86 [2781]~E(x27811,x27812)+E(f610(x27813,x27811,x27814),f610(x27813,x27812,x27814))
% 198.08/197.86 [2782]~E(x27821,x27822)+E(f610(x27823,x27824,x27821),f610(x27823,x27824,x27822))
% 198.08/197.86 [2783]~E(x27831,x27832)+E(f852(x27831,x27833,x27834,x27835),f852(x27832,x27833,x27834,x27835))
% 198.08/197.86 [2784]~E(x27841,x27842)+E(f852(x27843,x27841,x27844,x27845),f852(x27843,x27842,x27844,x27845))
% 198.08/197.86 [2785]~E(x27851,x27852)+E(f852(x27853,x27854,x27851,x27855),f852(x27853,x27854,x27852,x27855))
% 198.08/197.86 [2786]~E(x27861,x27862)+E(f852(x27863,x27864,x27865,x27861),f852(x27863,x27864,x27865,x27862))
% 198.08/197.86 [2787]~E(x27871,x27872)+E(f379(x27871,x27873,x27874),f379(x27872,x27873,x27874))
% 198.08/197.86 [2788]~E(x27881,x27882)+E(f379(x27883,x27881,x27884),f379(x27883,x27882,x27884))
% 198.08/197.86 [2789]~E(x27891,x27892)+E(f379(x27893,x27894,x27891),f379(x27893,x27894,x27892))
% 198.08/197.86 [2790]~E(x27901,x27902)+E(f697(x27901,x27903,x27904,x27905),f697(x27902,x27903,x27904,x27905))
% 198.08/197.86 [2791]~E(x27911,x27912)+E(f697(x27913,x27911,x27914,x27915),f697(x27913,x27912,x27914,x27915))
% 198.08/197.86 [2792]~E(x27921,x27922)+E(f697(x27923,x27924,x27921,x27925),f697(x27923,x27924,x27922,x27925))
% 198.08/197.86 [2793]~E(x27931,x27932)+E(f697(x27933,x27934,x27935,x27931),f697(x27933,x27934,x27935,x27932))
% 198.08/197.86 [2794]~E(x27941,x27942)+E(f450(x27941,x27943,x27944,x27945),f450(x27942,x27943,x27944,x27945))
% 198.08/197.86 [2795]~E(x27951,x27952)+E(f450(x27953,x27951,x27954,x27955),f450(x27953,x27952,x27954,x27955))
% 198.08/197.86 [2796]~E(x27961,x27962)+E(f450(x27963,x27964,x27961,x27965),f450(x27963,x27964,x27962,x27965))
% 198.08/197.86 [2797]~E(x27971,x27972)+E(f450(x27973,x27974,x27975,x27971),f450(x27973,x27974,x27975,x27972))
% 198.08/197.86 [2798]~E(x27981,x27982)+E(f602(x27981,x27983,x27984,x27985,x27986,x27987),f602(x27982,x27983,x27984,x27985,x27986,x27987))
% 198.08/197.86 [2799]~E(x27991,x27992)+E(f602(x27993,x27991,x27994,x27995,x27996,x27997),f602(x27993,x27992,x27994,x27995,x27996,x27997))
% 198.08/197.86 [2800]~E(x28001,x28002)+E(f602(x28003,x28004,x28001,x28005,x28006,x28007),f602(x28003,x28004,x28002,x28005,x28006,x28007))
% 198.08/197.86 [2801]~E(x28011,x28012)+E(f602(x28013,x28014,x28015,x28011,x28016,x28017),f602(x28013,x28014,x28015,x28012,x28016,x28017))
% 198.08/197.86 [2802]~E(x28021,x28022)+E(f602(x28023,x28024,x28025,x28026,x28021,x28027),f602(x28023,x28024,x28025,x28026,x28022,x28027))
% 198.08/197.86 [2803]~E(x28031,x28032)+E(f602(x28033,x28034,x28035,x28036,x28037,x28031),f602(x28033,x28034,x28035,x28036,x28037,x28032))
% 198.08/197.86 [2804]~E(x28041,x28042)+E(f774(x28041,x28043,x28044),f774(x28042,x28043,x28044))
% 198.08/197.86 [2805]~E(x28051,x28052)+E(f774(x28053,x28051,x28054),f774(x28053,x28052,x28054))
% 198.08/197.86 [2806]~E(x28061,x28062)+E(f774(x28063,x28064,x28061),f774(x28063,x28064,x28062))
% 198.08/197.86 [2807]~E(x28071,x28072)+E(f836(x28071,x28073),f836(x28072,x28073))
% 198.08/197.86 [2808]~E(x28081,x28082)+E(f836(x28083,x28081),f836(x28083,x28082))
% 198.08/197.86 [2809]~E(x28091,x28092)+E(f871(x28091,x28093,x28094),f871(x28092,x28093,x28094))
% 198.08/197.86 [2810]~E(x28101,x28102)+E(f871(x28103,x28101,x28104),f871(x28103,x28102,x28104))
% 198.08/197.86 [2811]~E(x28111,x28112)+E(f871(x28113,x28114,x28111),f871(x28113,x28114,x28112))
% 198.08/197.86 [2812]~E(x28121,x28122)+E(f505(x28121,x28123,x28124,x28125),f505(x28122,x28123,x28124,x28125))
% 198.08/197.86 [2813]~E(x28131,x28132)+E(f505(x28133,x28131,x28134,x28135),f505(x28133,x28132,x28134,x28135))
% 198.08/197.86 [2814]~E(x28141,x28142)+E(f505(x28143,x28144,x28141,x28145),f505(x28143,x28144,x28142,x28145))
% 198.08/197.86 [2815]~E(x28151,x28152)+E(f505(x28153,x28154,x28155,x28151),f505(x28153,x28154,x28155,x28152))
% 198.08/197.86 [2816]~E(x28161,x28162)+E(f634(x28161,x28163,x28164),f634(x28162,x28163,x28164))
% 198.08/197.86 [2817]~E(x28171,x28172)+E(f634(x28173,x28171,x28174),f634(x28173,x28172,x28174))
% 198.08/197.86 [2818]~E(x28181,x28182)+E(f634(x28183,x28184,x28181),f634(x28183,x28184,x28182))
% 198.08/197.86 [2819]~E(x28191,x28192)+E(f200(x28191),f200(x28192))
% 198.08/197.86 [2820]~E(x28201,x28202)+E(f331(x28201),f331(x28202))
% 198.08/197.86 [2821]~E(x28211,x28212)+E(f775(x28211,x28213,x28214),f775(x28212,x28213,x28214))
% 198.08/197.86 [2822]~E(x28221,x28222)+E(f775(x28223,x28221,x28224),f775(x28223,x28222,x28224))
% 198.08/197.86 [2823]~E(x28231,x28232)+E(f775(x28233,x28234,x28231),f775(x28233,x28234,x28232))
% 198.08/197.86 [2824]~E(x28241,x28242)+E(f373(x28241,x28243,x28244),f373(x28242,x28243,x28244))
% 198.08/197.86 [2825]~E(x28251,x28252)+E(f373(x28253,x28251,x28254),f373(x28253,x28252,x28254))
% 198.08/197.86 [2826]~E(x28261,x28262)+E(f373(x28263,x28264,x28261),f373(x28263,x28264,x28262))
% 198.08/197.86 [2827]~E(x28271,x28272)+E(f824(x28271,x28273),f824(x28272,x28273))
% 198.08/197.86 [2828]~E(x28281,x28282)+E(f824(x28283,x28281),f824(x28283,x28282))
% 198.08/197.86 [2829]~E(x28291,x28292)+E(f593(x28291,x28293),f593(x28292,x28293))
% 198.08/197.86 [2830]~E(x28301,x28302)+E(f593(x28303,x28301),f593(x28303,x28302))
% 198.08/197.86 [2831]~E(x28311,x28312)+E(f628(x28311,x28313,x28314,x28315,x28316),f628(x28312,x28313,x28314,x28315,x28316))
% 198.08/197.86 [2832]~E(x28321,x28322)+E(f628(x28323,x28321,x28324,x28325,x28326),f628(x28323,x28322,x28324,x28325,x28326))
% 198.08/197.86 [2833]~E(x28331,x28332)+E(f628(x28333,x28334,x28331,x28335,x28336),f628(x28333,x28334,x28332,x28335,x28336))
% 198.08/197.86 [2834]~E(x28341,x28342)+E(f628(x28343,x28344,x28345,x28341,x28346),f628(x28343,x28344,x28345,x28342,x28346))
% 198.08/197.86 [2835]~E(x28351,x28352)+E(f628(x28353,x28354,x28355,x28356,x28351),f628(x28353,x28354,x28355,x28356,x28352))
% 198.08/197.86 [2836]~E(x28361,x28362)+E(f796(x28361,x28363),f796(x28362,x28363))
% 198.08/197.86 [2837]~E(x28371,x28372)+E(f796(x28373,x28371),f796(x28373,x28372))
% 198.08/197.86 [2838]~E(x28381,x28382)+E(f736(x28381,x28383,x28384,x28385),f736(x28382,x28383,x28384,x28385))
% 198.08/197.86 [2839]~E(x28391,x28392)+E(f736(x28393,x28391,x28394,x28395),f736(x28393,x28392,x28394,x28395))
% 198.08/197.86 [2840]~E(x28401,x28402)+E(f736(x28403,x28404,x28401,x28405),f736(x28403,x28404,x28402,x28405))
% 198.08/197.86 [2841]~E(x28411,x28412)+E(f736(x28413,x28414,x28415,x28411),f736(x28413,x28414,x28415,x28412))
% 198.08/197.86 [2842]~E(x28421,x28422)+E(f459(x28421,x28423,x28424,x28425),f459(x28422,x28423,x28424,x28425))
% 198.08/197.86 [2843]~E(x28431,x28432)+E(f459(x28433,x28431,x28434,x28435),f459(x28433,x28432,x28434,x28435))
% 198.08/197.86 [2844]~E(x28441,x28442)+E(f459(x28443,x28444,x28441,x28445),f459(x28443,x28444,x28442,x28445))
% 198.08/197.86 [2845]~E(x28451,x28452)+E(f459(x28453,x28454,x28455,x28451),f459(x28453,x28454,x28455,x28452))
% 198.08/197.86 [2846]~E(x28461,x28462)+E(f448(x28461,x28463,x28464),f448(x28462,x28463,x28464))
% 198.08/197.86 [2847]~E(x28471,x28472)+E(f448(x28473,x28471,x28474),f448(x28473,x28472,x28474))
% 198.08/197.86 [2848]~E(x28481,x28482)+E(f448(x28483,x28484,x28481),f448(x28483,x28484,x28482))
% 198.08/197.86 [2849]~E(x28491,x28492)+E(f617(x28491,x28493,x28494),f617(x28492,x28493,x28494))
% 198.08/197.86 [2850]~E(x28501,x28502)+E(f617(x28503,x28501,x28504),f617(x28503,x28502,x28504))
% 198.08/197.86 [2851]~E(x28511,x28512)+E(f617(x28513,x28514,x28511),f617(x28513,x28514,x28512))
% 198.08/197.86 [2852]~E(x28521,x28522)+E(f756(x28521,x28523,x28524,x28525,x28526),f756(x28522,x28523,x28524,x28525,x28526))
% 198.08/197.86 [2853]~E(x28531,x28532)+E(f756(x28533,x28531,x28534,x28535,x28536),f756(x28533,x28532,x28534,x28535,x28536))
% 198.08/197.86 [2854]~E(x28541,x28542)+E(f756(x28543,x28544,x28541,x28545,x28546),f756(x28543,x28544,x28542,x28545,x28546))
% 198.08/197.86 [2855]~E(x28551,x28552)+E(f756(x28553,x28554,x28555,x28551,x28556),f756(x28553,x28554,x28555,x28552,x28556))
% 198.08/197.86 [2856]~E(x28561,x28562)+E(f756(x28563,x28564,x28565,x28566,x28561),f756(x28563,x28564,x28565,x28566,x28562))
% 198.08/197.86 [2857]~E(x28571,x28572)+E(f560(x28571,x28573,x28574,x28575,x28576,x28577),f560(x28572,x28573,x28574,x28575,x28576,x28577))
% 198.08/197.86 [2858]~E(x28581,x28582)+E(f560(x28583,x28581,x28584,x28585,x28586,x28587),f560(x28583,x28582,x28584,x28585,x28586,x28587))
% 198.08/197.86 [2859]~E(x28591,x28592)+E(f560(x28593,x28594,x28591,x28595,x28596,x28597),f560(x28593,x28594,x28592,x28595,x28596,x28597))
% 198.08/197.86 [2860]~E(x28601,x28602)+E(f560(x28603,x28604,x28605,x28601,x28606,x28607),f560(x28603,x28604,x28605,x28602,x28606,x28607))
% 198.08/197.86 [2861]~E(x28611,x28612)+E(f560(x28613,x28614,x28615,x28616,x28611,x28617),f560(x28613,x28614,x28615,x28616,x28612,x28617))
% 198.08/197.86 [2862]~E(x28621,x28622)+E(f560(x28623,x28624,x28625,x28626,x28627,x28621),f560(x28623,x28624,x28625,x28626,x28627,x28622))
% 198.08/197.86 [2863]~E(x28631,x28632)+E(f500(x28631),f500(x28632))
% 198.08/197.86 [2864]~E(x28641,x28642)+E(f620(x28641,x28643,x28644,x28645,x28646),f620(x28642,x28643,x28644,x28645,x28646))
% 198.08/197.86 [2865]~E(x28651,x28652)+E(f620(x28653,x28651,x28654,x28655,x28656),f620(x28653,x28652,x28654,x28655,x28656))
% 198.08/197.86 [2866]~E(x28661,x28662)+E(f620(x28663,x28664,x28661,x28665,x28666),f620(x28663,x28664,x28662,x28665,x28666))
% 198.08/197.86 [2867]~E(x28671,x28672)+E(f620(x28673,x28674,x28675,x28671,x28676),f620(x28673,x28674,x28675,x28672,x28676))
% 198.08/197.86 [2868]~E(x28681,x28682)+E(f620(x28683,x28684,x28685,x28686,x28681),f620(x28683,x28684,x28685,x28686,x28682))
% 198.08/197.86 [2869]~E(x28691,x28692)+E(f823(x28691,x28693,x28694),f823(x28692,x28693,x28694))
% 198.08/197.86 [2870]~E(x28701,x28702)+E(f823(x28703,x28701,x28704),f823(x28703,x28702,x28704))
% 198.08/197.86 [2871]~E(x28711,x28712)+E(f823(x28713,x28714,x28711),f823(x28713,x28714,x28712))
% 198.08/197.86 [2872]~E(x28721,x28722)+E(f771(x28721,x28723,x28724),f771(x28722,x28723,x28724))
% 198.08/197.86 [2873]~E(x28731,x28732)+E(f771(x28733,x28731,x28734),f771(x28733,x28732,x28734))
% 198.08/197.86 [2874]~E(x28741,x28742)+E(f771(x28743,x28744,x28741),f771(x28743,x28744,x28742))
% 198.08/197.86 [2875]~E(x28751,x28752)+E(f23(x28751,x28753),f23(x28752,x28753))
% 198.08/197.86 [2876]~E(x28761,x28762)+E(f23(x28763,x28761),f23(x28763,x28762))
% 198.08/197.86 [2877]~E(x28771,x28772)+E(f395(x28771,x28773),f395(x28772,x28773))
% 198.08/197.86 [2878]~E(x28781,x28782)+E(f395(x28783,x28781),f395(x28783,x28782))
% 198.08/197.86 [2879]~E(x28791,x28792)+E(f210(x28791,x28793,x28794,x28795),f210(x28792,x28793,x28794,x28795))
% 198.08/197.86 [2880]~E(x28801,x28802)+E(f210(x28803,x28801,x28804,x28805),f210(x28803,x28802,x28804,x28805))
% 198.08/197.86 [2881]~E(x28811,x28812)+E(f210(x28813,x28814,x28811,x28815),f210(x28813,x28814,x28812,x28815))
% 198.08/197.86 [2882]~E(x28821,x28822)+E(f210(x28823,x28824,x28825,x28821),f210(x28823,x28824,x28825,x28822))
% 198.08/197.86 [2883]~E(x28831,x28832)+E(f452(x28831,x28833,x28834,x28835),f452(x28832,x28833,x28834,x28835))
% 198.08/197.86 [2884]~E(x28841,x28842)+E(f452(x28843,x28841,x28844,x28845),f452(x28843,x28842,x28844,x28845))
% 198.08/197.86 [2885]~E(x28851,x28852)+E(f452(x28853,x28854,x28851,x28855),f452(x28853,x28854,x28852,x28855))
% 198.08/197.86 [2886]~E(x28861,x28862)+E(f452(x28863,x28864,x28865,x28861),f452(x28863,x28864,x28865,x28862))
% 198.08/197.86 [2887]~E(x28871,x28872)+E(f835(x28871,x28873),f835(x28872,x28873))
% 198.08/197.86 [2888]~E(x28881,x28882)+E(f835(x28883,x28881),f835(x28883,x28882))
% 198.08/197.86 [2889]~E(x28891,x28892)+E(f337(x28891,x28893),f337(x28892,x28893))
% 198.08/197.86 [2890]~E(x28901,x28902)+E(f337(x28903,x28901),f337(x28903,x28902))
% 198.08/197.86 [2891]~E(x28911,x28912)+E(f738(x28911,x28913),f738(x28912,x28913))
% 198.08/197.86 [2892]~E(x28921,x28922)+E(f738(x28923,x28921),f738(x28923,x28922))
% 198.08/197.86 [2893]~E(x28931,x28932)+E(f207(x28931,x28933,x28934,x28935,x28936,x28937,x28938),f207(x28932,x28933,x28934,x28935,x28936,x28937,x28938))
% 198.08/197.86 [2894]~E(x28941,x28942)+E(f207(x28943,x28941,x28944,x28945,x28946,x28947,x28948),f207(x28943,x28942,x28944,x28945,x28946,x28947,x28948))
% 198.08/197.86 [2895]~E(x28951,x28952)+E(f207(x28953,x28954,x28951,x28955,x28956,x28957,x28958),f207(x28953,x28954,x28952,x28955,x28956,x28957,x28958))
% 198.08/197.86 [2896]~E(x28961,x28962)+E(f207(x28963,x28964,x28965,x28961,x28966,x28967,x28968),f207(x28963,x28964,x28965,x28962,x28966,x28967,x28968))
% 198.08/197.86 [2897]~E(x28971,x28972)+E(f207(x28973,x28974,x28975,x28976,x28971,x28977,x28978),f207(x28973,x28974,x28975,x28976,x28972,x28977,x28978))
% 198.08/197.86 [2898]~E(x28981,x28982)+E(f207(x28983,x28984,x28985,x28986,x28987,x28981,x28988),f207(x28983,x28984,x28985,x28986,x28987,x28982,x28988))
% 198.08/197.86 [2899]~E(x28991,x28992)+E(f207(x28993,x28994,x28995,x28996,x28997,x28998,x28991),f207(x28993,x28994,x28995,x28996,x28997,x28998,x28992))
% 198.08/197.86 [2900]~E(x29001,x29002)+E(f229(x29001,x29003,x29004,x29005),f229(x29002,x29003,x29004,x29005))
% 198.08/197.86 [2901]~E(x29011,x29012)+E(f229(x29013,x29011,x29014,x29015),f229(x29013,x29012,x29014,x29015))
% 198.08/197.86 [2902]~E(x29021,x29022)+E(f229(x29023,x29024,x29021,x29025),f229(x29023,x29024,x29022,x29025))
% 198.08/197.86 [2903]~E(x29031,x29032)+E(f229(x29033,x29034,x29035,x29031),f229(x29033,x29034,x29035,x29032))
% 198.08/197.86 [2904]~P1(x29041)+P1(x29042)+~E(x29041,x29042)
% 198.08/197.86 [2905]~P2(x29051)+P2(x29052)+~E(x29051,x29052)
% 198.08/197.86 [2906]P15(x29062,x29063)+~E(x29061,x29062)+~P15(x29061,x29063)
% 198.08/197.86 [2907]P15(x29073,x29072)+~E(x29071,x29072)+~P15(x29073,x29071)
% 198.08/197.86 [2908]~P109(x29081)+P109(x29082)+~E(x29081,x29082)
% 198.08/197.86 [2909]~P111(x29091)+P111(x29092)+~E(x29091,x29092)
% 198.08/197.86 [2910]~P7(x29101)+P7(x29102)+~E(x29101,x29102)
% 198.08/197.86 [2911]~P96(x29111)+P96(x29112)+~E(x29111,x29112)
% 198.08/197.86 [2912]~P110(x29121)+P110(x29122)+~E(x29121,x29122)
% 198.08/197.86 [2913]~P143(x29131)+P143(x29132)+~E(x29131,x29132)
% 198.08/197.86 [2914]P45(x29142,x29143,x29144,x29145)+~E(x29141,x29142)+~P45(x29141,x29143,x29144,x29145)
% 198.08/197.86 [2915]P45(x29153,x29152,x29154,x29155)+~E(x29151,x29152)+~P45(x29153,x29151,x29154,x29155)
% 198.08/197.86 [2916]P45(x29163,x29164,x29162,x29165)+~E(x29161,x29162)+~P45(x29163,x29164,x29161,x29165)
% 198.08/197.86 [2917]P45(x29173,x29174,x29175,x29172)+~E(x29171,x29172)+~P45(x29173,x29174,x29175,x29171)
% 198.08/197.86 [2918]~P97(x29181)+P97(x29182)+~E(x29181,x29182)
% 198.08/197.86 [2919]~P105(x29191)+P105(x29192)+~E(x29191,x29192)
% 198.08/197.86 [2920]~P112(x29201)+P112(x29202)+~E(x29201,x29202)
% 198.08/197.86 [2921]~P92(x29211)+P92(x29212)+~E(x29211,x29212)
% 198.08/197.86 [2922]~P115(x29221)+P115(x29222)+~E(x29221,x29222)
% 198.08/197.86 [2923]~P148(x29231)+P148(x29232)+~E(x29231,x29232)
% 198.08/197.86 [2924]~P65(x29241)+P65(x29242)+~E(x29241,x29242)
% 198.08/197.86 [2925]~P113(x29251)+P113(x29252)+~E(x29251,x29252)
% 198.08/197.86 [2926]~P3(x29261)+P3(x29262)+~E(x29261,x29262)
% 198.08/197.86 [2927]~P130(x29271)+P130(x29272)+~E(x29271,x29272)
% 198.08/197.86 [2928]P35(x29282,x29283,x29284)+~E(x29281,x29282)+~P35(x29281,x29283,x29284)
% 198.08/197.86 [2929]P35(x29293,x29292,x29294)+~E(x29291,x29292)+~P35(x29293,x29291,x29294)
% 198.08/197.86 [2930]P35(x29303,x29304,x29302)+~E(x29301,x29302)+~P35(x29303,x29304,x29301)
% 198.08/197.86 [2931]~P104(x29311)+P104(x29312)+~E(x29311,x29312)
% 198.08/197.86 [2932]P27(x29322,x29323,x29324,x29325)+~E(x29321,x29322)+~P27(x29321,x29323,x29324,x29325)
% 198.08/197.86 [2933]P27(x29333,x29332,x29334,x29335)+~E(x29331,x29332)+~P27(x29333,x29331,x29334,x29335)
% 198.08/197.86 [2934]P27(x29343,x29344,x29342,x29345)+~E(x29341,x29342)+~P27(x29343,x29344,x29341,x29345)
% 198.08/197.86 [2935]P27(x29353,x29354,x29355,x29352)+~E(x29351,x29352)+~P27(x29353,x29354,x29355,x29351)
% 198.08/197.86 [2936]P150(x29362,x29363,x29364)+~E(x29361,x29362)+~P150(x29361,x29363,x29364)
% 198.08/197.86 [2937]P150(x29373,x29372,x29374)+~E(x29371,x29372)+~P150(x29373,x29371,x29374)
% 198.08/197.86 [2938]P150(x29383,x29384,x29382)+~E(x29381,x29382)+~P150(x29383,x29384,x29381)
% 198.08/197.86 [2939]~P4(x29391)+P4(x29392)+~E(x29391,x29392)
% 198.08/197.86 [2940]~P5(x29401)+P5(x29402)+~E(x29401,x29402)
% 198.08/197.86 [2941]~P122(x29411)+P122(x29412)+~E(x29411,x29412)
% 198.08/197.86 [2942]~P98(x29421)+P98(x29422)+~E(x29421,x29422)
% 198.08/197.86 [2943]~P71(x29431)+P71(x29432)+~E(x29431,x29432)
% 198.08/197.86 [2944]~P6(x29441)+P6(x29442)+~E(x29441,x29442)
% 198.08/197.86 [2945]P42(x29452,x29453)+~E(x29451,x29452)+~P42(x29451,x29453)
% 198.08/197.86 [2946]P42(x29463,x29462)+~E(x29461,x29462)+~P42(x29463,x29461)
% 198.08/197.86 [2947]~P83(x29471)+P83(x29472)+~E(x29471,x29472)
% 198.08/197.86 [2948]~P72(x29481)+P72(x29482)+~E(x29481,x29482)
% 198.08/197.86 [2949]~P73(x29491)+P73(x29492)+~E(x29491,x29492)
% 198.08/197.86 [2950]~P75(x29501)+P75(x29502)+~E(x29501,x29502)
% 198.08/197.86 [2951]P30(x29512,x29513,x29514)+~E(x29511,x29512)+~P30(x29511,x29513,x29514)
% 198.08/197.86 [2952]P30(x29523,x29522,x29524)+~E(x29521,x29522)+~P30(x29523,x29521,x29524)
% 198.08/197.86 [2953]P30(x29533,x29534,x29532)+~E(x29531,x29532)+~P30(x29533,x29534,x29531)
% 198.08/197.86 [2954]~P70(x29541)+P70(x29542)+~E(x29541,x29542)
% 198.08/197.86 [2955]~P80(x29551)+P80(x29552)+~E(x29551,x29552)
% 198.08/197.86 [2956]P57(x29562,x29563,x29564)+~E(x29561,x29562)+~P57(x29561,x29563,x29564)
% 198.08/197.86 [2957]P57(x29573,x29572,x29574)+~E(x29571,x29572)+~P57(x29573,x29571,x29574)
% 198.08/197.86 [2958]P57(x29583,x29584,x29582)+~E(x29581,x29582)+~P57(x29583,x29584,x29581)
% 198.08/197.86 [2959]P18(x29592,x29593,x29594)+~E(x29591,x29592)+~P18(x29591,x29593,x29594)
% 198.08/197.86 [2960]P18(x29603,x29602,x29604)+~E(x29601,x29602)+~P18(x29603,x29601,x29604)
% 198.08/197.86 [2961]P18(x29613,x29614,x29612)+~E(x29611,x29612)+~P18(x29613,x29614,x29611)
% 198.08/197.86 [2962]~P84(x29621)+P84(x29622)+~E(x29621,x29622)
% 198.08/197.86 [2963]~P121(x29631)+P121(x29632)+~E(x29631,x29632)
% 198.08/197.86 [2964]~P125(x29641)+P125(x29642)+~E(x29641,x29642)
% 198.08/197.86 [2965]~P85(x29651)+P85(x29652)+~E(x29651,x29652)
% 198.08/197.86 [2966]P41(x29662,x29663)+~E(x29661,x29662)+~P41(x29661,x29663)
% 198.08/197.86 [2967]P41(x29673,x29672)+~E(x29671,x29672)+~P41(x29673,x29671)
% 198.08/197.86 [2968]P16(x29682,x29683,x29684)+~E(x29681,x29682)+~P16(x29681,x29683,x29684)
% 198.08/197.86 [2969]P16(x29693,x29692,x29694)+~E(x29691,x29692)+~P16(x29693,x29691,x29694)
% 198.08/197.86 [2970]P16(x29703,x29704,x29702)+~E(x29701,x29702)+~P16(x29703,x29704,x29701)
% 198.08/197.86 [2971]~P114(x29711)+P114(x29712)+~E(x29711,x29712)
% 198.08/197.86 [2972]P38(x29722,x29723,x29724,x29725,x29726)+~E(x29721,x29722)+~P38(x29721,x29723,x29724,x29725,x29726)
% 198.08/197.86 [2973]P38(x29733,x29732,x29734,x29735,x29736)+~E(x29731,x29732)+~P38(x29733,x29731,x29734,x29735,x29736)
% 198.08/197.86 [2974]P38(x29743,x29744,x29742,x29745,x29746)+~E(x29741,x29742)+~P38(x29743,x29744,x29741,x29745,x29746)
% 198.08/197.86 [2975]P38(x29753,x29754,x29755,x29752,x29756)+~E(x29751,x29752)+~P38(x29753,x29754,x29755,x29751,x29756)
% 198.08/197.86 [2976]P38(x29763,x29764,x29765,x29766,x29762)+~E(x29761,x29762)+~P38(x29763,x29764,x29765,x29766,x29761)
% 198.08/197.86 [2977]~P79(x29771)+P79(x29772)+~E(x29771,x29772)
% 198.08/197.86 [2978]~P129(x29781)+P129(x29782)+~E(x29781,x29782)
% 198.08/197.86 [2979]~P81(x29791)+P81(x29792)+~E(x29791,x29792)
% 198.08/197.86 [2980]~P138(x29801)+P138(x29802)+~E(x29801,x29802)
% 198.08/197.86 [2981]~P74(x29811)+P74(x29812)+~E(x29811,x29812)
% 198.08/197.86 [2982]P37(x29822,x29823,x29824)+~E(x29821,x29822)+~P37(x29821,x29823,x29824)
% 198.08/197.86 [2983]P37(x29833,x29832,x29834)+~E(x29831,x29832)+~P37(x29833,x29831,x29834)
% 198.08/197.86 [2984]P37(x29843,x29844,x29842)+~E(x29841,x29842)+~P37(x29843,x29844,x29841)
% 198.08/197.86 [2985]P56(x29852,x29853)+~E(x29851,x29852)+~P56(x29851,x29853)
% 198.08/197.86 [2986]P56(x29863,x29862)+~E(x29861,x29862)+~P56(x29863,x29861)
% 198.08/197.86 [2987]~P76(x29871)+P76(x29872)+~E(x29871,x29872)
% 198.08/197.86 [2988]P28(x29882,x29883,x29884,x29885,x29886)+~E(x29881,x29882)+~P28(x29881,x29883,x29884,x29885,x29886)
% 198.08/197.86 [2989]P28(x29893,x29892,x29894,x29895,x29896)+~E(x29891,x29892)+~P28(x29893,x29891,x29894,x29895,x29896)
% 198.08/197.86 [2990]P28(x29903,x29904,x29902,x29905,x29906)+~E(x29901,x29902)+~P28(x29903,x29904,x29901,x29905,x29906)
% 198.08/197.86 [2991]P28(x29913,x29914,x29915,x29912,x29916)+~E(x29911,x29912)+~P28(x29913,x29914,x29915,x29911,x29916)
% 198.08/197.86 [2992]P28(x29923,x29924,x29925,x29926,x29922)+~E(x29921,x29922)+~P28(x29923,x29924,x29925,x29926,x29921)
% 198.08/197.86 [2993]P55(x29932,x29933)+~E(x29931,x29932)+~P55(x29931,x29933)
% 198.08/197.86 [2994]P55(x29943,x29942)+~E(x29941,x29942)+~P55(x29943,x29941)
% 198.08/197.86 [2995]~P77(x29951)+P77(x29952)+~E(x29951,x29952)
% 198.08/197.86 [2996]~P99(x29961)+P99(x29962)+~E(x29961,x29962)
% 198.08/197.86 [2997]~P142(x29971)+P142(x29972)+~E(x29971,x29972)
% 198.08/197.86 [2998]P52(x29982,x29983,x29984)+~E(x29981,x29982)+~P52(x29981,x29983,x29984)
% 198.08/197.86 [2999]P52(x29993,x29992,x29994)+~E(x29991,x29992)+~P52(x29993,x29991,x29994)
% 198.08/197.86 [3000]P52(x30003,x30004,x30002)+~E(x30001,x30002)+~P52(x30003,x30004,x30001)
% 198.08/197.86 [3001]P53(x30012,x30013,x30014)+~E(x30011,x30012)+~P53(x30011,x30013,x30014)
% 198.08/197.86 [3002]P53(x30023,x30022,x30024)+~E(x30021,x30022)+~P53(x30023,x30021,x30024)
% 198.08/197.86 [3003]P53(x30033,x30034,x30032)+~E(x30031,x30032)+~P53(x30033,x30034,x30031)
% 198.08/197.86 [3004]P59(x30042,x30043,x30044)+~E(x30041,x30042)+~P59(x30041,x30043,x30044)
% 198.08/197.86 [3005]P59(x30053,x30052,x30054)+~E(x30051,x30052)+~P59(x30053,x30051,x30054)
% 198.08/197.86 [3006]P59(x30063,x30064,x30062)+~E(x30061,x30062)+~P59(x30063,x30064,x30061)
% 198.08/197.86 [3007]P23(x30072,x30073,x30074,x30075,x30076)+~E(x30071,x30072)+~P23(x30071,x30073,x30074,x30075,x30076)
% 198.08/197.86 [3008]P23(x30083,x30082,x30084,x30085,x30086)+~E(x30081,x30082)+~P23(x30083,x30081,x30084,x30085,x30086)
% 198.08/197.86 [3009]P23(x30093,x30094,x30092,x30095,x30096)+~E(x30091,x30092)+~P23(x30093,x30094,x30091,x30095,x30096)
% 198.08/197.86 [3010]P23(x30103,x30104,x30105,x30102,x30106)+~E(x30101,x30102)+~P23(x30103,x30104,x30105,x30101,x30106)
% 198.08/197.86 [3011]P23(x30113,x30114,x30115,x30116,x30112)+~E(x30111,x30112)+~P23(x30113,x30114,x30115,x30116,x30111)
% 198.08/197.86 [3012]~P8(x30121)+P8(x30122)+~E(x30121,x30122)
% 198.08/197.86 [3013]~P116(x30131)+P116(x30132)+~E(x30131,x30132)
% 198.08/197.86 [3014]P43(x30142,x30143)+~E(x30141,x30142)+~P43(x30141,x30143)
% 198.08/197.86 [3015]P43(x30153,x30152)+~E(x30151,x30152)+~P43(x30153,x30151)
% 198.08/197.86 [3016]P26(x30162,x30163,x30164)+~E(x30161,x30162)+~P26(x30161,x30163,x30164)
% 198.08/197.86 [3017]P26(x30173,x30172,x30174)+~E(x30171,x30172)+~P26(x30173,x30171,x30174)
% 198.08/197.86 [3018]P26(x30183,x30184,x30182)+~E(x30181,x30182)+~P26(x30183,x30184,x30181)
% 198.08/197.86 [3019]~P87(x30191)+P87(x30192)+~E(x30191,x30192)
% 198.08/197.86 [3020]P9(x30202,x30203)+~E(x30201,x30202)+~P9(x30201,x30203)
% 198.08/197.86 [3021]P9(x30213,x30212)+~E(x30211,x30212)+~P9(x30213,x30211)
% 198.08/197.86 [3022]P22(x30222,x30223,x30224,x30225)+~E(x30221,x30222)+~P22(x30221,x30223,x30224,x30225)
% 198.08/197.86 [3023]P22(x30233,x30232,x30234,x30235)+~E(x30231,x30232)+~P22(x30233,x30231,x30234,x30235)
% 198.08/197.86 [3024]P22(x30243,x30244,x30242,x30245)+~E(x30241,x30242)+~P22(x30243,x30244,x30241,x30245)
% 198.08/197.86 [3025]P22(x30253,x30254,x30255,x30252)+~E(x30251,x30252)+~P22(x30253,x30254,x30255,x30251)
% 198.08/197.86 [3026]~P88(x30261)+P88(x30262)+~E(x30261,x30262)
% 198.08/197.86 [3027]P151(x30272,x30273,x30274)+~E(x30271,x30272)+~P151(x30271,x30273,x30274)
% 198.08/197.86 [3028]P151(x30283,x30282,x30284)+~E(x30281,x30282)+~P151(x30283,x30281,x30284)
% 198.08/197.86 [3029]P151(x30293,x30294,x30292)+~E(x30291,x30292)+~P151(x30293,x30294,x30291)
% 198.08/197.86 [3030]P10(x30302,x30303,x30304)+~E(x30301,x30302)+~P10(x30301,x30303,x30304)
% 198.08/197.86 [3031]P10(x30313,x30312,x30314)+~E(x30311,x30312)+~P10(x30313,x30311,x30314)
% 198.08/197.86 [3032]P10(x30323,x30324,x30322)+~E(x30321,x30322)+~P10(x30323,x30324,x30321)
% 198.08/197.86 [3033]~P90(x30331)+P90(x30332)+~E(x30331,x30332)
% 198.08/197.86 [3034]~P126(x30341)+P126(x30342)+~E(x30341,x30342)
% 198.08/197.86 [3035]P24(x30352,x30353,x30354,x30355,x30356,x30357)+~E(x30351,x30352)+~P24(x30351,x30353,x30354,x30355,x30356,x30357)
% 198.08/197.86 [3036]P24(x30363,x30362,x30364,x30365,x30366,x30367)+~E(x30361,x30362)+~P24(x30363,x30361,x30364,x30365,x30366,x30367)
% 198.08/197.86 [3037]P24(x30373,x30374,x30372,x30375,x30376,x30377)+~E(x30371,x30372)+~P24(x30373,x30374,x30371,x30375,x30376,x30377)
% 198.08/197.86 [3038]P24(x30383,x30384,x30385,x30382,x30386,x30387)+~E(x30381,x30382)+~P24(x30383,x30384,x30385,x30381,x30386,x30387)
% 198.08/197.86 [3039]P24(x30393,x30394,x30395,x30396,x30392,x30397)+~E(x30391,x30392)+~P24(x30393,x30394,x30395,x30396,x30391,x30397)
% 198.08/197.86 [3040]P24(x30403,x30404,x30405,x30406,x30407,x30402)+~E(x30401,x30402)+~P24(x30403,x30404,x30405,x30406,x30407,x30401)
% 198.08/197.86 [3041]P33(x30412,x30413,x30414)+~E(x30411,x30412)+~P33(x30411,x30413,x30414)
% 198.08/197.86 [3042]P33(x30423,x30422,x30424)+~E(x30421,x30422)+~P33(x30423,x30421,x30424)
% 198.08/197.86 [3043]P33(x30433,x30434,x30432)+~E(x30431,x30432)+~P33(x30433,x30434,x30431)
% 198.08/197.86 [3044]~P131(x30441)+P131(x30442)+~E(x30441,x30442)
% 198.08/197.86 [3045]~P89(x30451)+P89(x30452)+~E(x30451,x30452)
% 198.08/197.86 [3046]~P44(x30461)+P44(x30462)+~E(x30461,x30462)
% 198.08/197.86 [3047]P32(x30472,x30473)+~E(x30471,x30472)+~P32(x30471,x30473)
% 198.08/197.86 [3048]P32(x30483,x30482)+~E(x30481,x30482)+~P32(x30483,x30481)
% 198.08/197.86 [3049]P64(x30492,x30493)+~E(x30491,x30492)+~P64(x30491,x30493)
% 198.08/197.86 [3050]P64(x30503,x30502)+~E(x30501,x30502)+~P64(x30503,x30501)
% 198.08/197.86 [3051]~P132(x30511)+P132(x30512)+~E(x30511,x30512)
% 198.08/197.86 [3052]~P91(x30521)+P91(x30522)+~E(x30521,x30522)
% 198.08/197.86 [3053]P60(x30532,x30533,x30534)+~E(x30531,x30532)+~P60(x30531,x30533,x30534)
% 198.08/197.86 [3054]P60(x30543,x30542,x30544)+~E(x30541,x30542)+~P60(x30543,x30541,x30544)
% 198.08/197.86 [3055]P60(x30553,x30554,x30552)+~E(x30551,x30552)+~P60(x30553,x30554,x30551)
% 198.08/197.86 [3056]P62(x30562,x30563)+~E(x30561,x30562)+~P62(x30561,x30563)
% 198.08/197.86 [3057]P62(x30573,x30572)+~E(x30571,x30572)+~P62(x30573,x30571)
% 198.08/197.86 [3058]P17(x30582,x30583)+~E(x30581,x30582)+~P17(x30581,x30583)
% 198.08/197.86 [3059]P17(x30593,x30592)+~E(x30591,x30592)+~P17(x30593,x30591)
% 198.08/197.86 [3060]~P68(x30601)+P68(x30602)+~E(x30601,x30602)
% 198.08/197.86 [3061]P54(x30612,x30613)+~E(x30611,x30612)+~P54(x30611,x30613)
% 198.08/197.86 [3062]P54(x30623,x30622)+~E(x30621,x30622)+~P54(x30623,x30621)
% 198.08/197.86 [3063]~P102(x30631)+P102(x30632)+~E(x30631,x30632)
% 198.08/197.86 [3064]P47(x30642,x30643,x30644,x30645,x30646,x30647)+~E(x30641,x30642)+~P47(x30641,x30643,x30644,x30645,x30646,x30647)
% 198.08/197.86 [3065]P47(x30653,x30652,x30654,x30655,x30656,x30657)+~E(x30651,x30652)+~P47(x30653,x30651,x30654,x30655,x30656,x30657)
% 198.08/197.86 [3066]P47(x30663,x30664,x30662,x30665,x30666,x30667)+~E(x30661,x30662)+~P47(x30663,x30664,x30661,x30665,x30666,x30667)
% 198.08/197.86 [3067]P47(x30673,x30674,x30675,x30672,x30676,x30677)+~E(x30671,x30672)+~P47(x30673,x30674,x30675,x30671,x30676,x30677)
% 198.08/197.86 [3068]P47(x30683,x30684,x30685,x30686,x30682,x30687)+~E(x30681,x30682)+~P47(x30683,x30684,x30685,x30686,x30681,x30687)
% 198.08/197.86 [3069]P47(x30693,x30694,x30695,x30696,x30697,x30692)+~E(x30691,x30692)+~P47(x30693,x30694,x30695,x30696,x30697,x30691)
% 198.08/197.86 [3070]~P117(x30701)+P117(x30702)+~E(x30701,x30702)
% 198.08/197.86 [3071]~P86(x30711)+P86(x30712)+~E(x30711,x30712)
% 198.08/197.86 [3072]P21(x30722,x30723,x30724,x30725)+~E(x30721,x30722)+~P21(x30721,x30723,x30724,x30725)
% 198.08/197.86 [3073]P21(x30733,x30732,x30734,x30735)+~E(x30731,x30732)+~P21(x30733,x30731,x30734,x30735)
% 198.08/197.86 [3074]P21(x30743,x30744,x30742,x30745)+~E(x30741,x30742)+~P21(x30743,x30744,x30741,x30745)
% 198.08/197.86 [3075]P21(x30753,x30754,x30755,x30752)+~E(x30751,x30752)+~P21(x30753,x30754,x30755,x30751)
% 198.08/197.86 [3076]P13(x30762,x30763,x30764,x30765)+~E(x30761,x30762)+~P13(x30761,x30763,x30764,x30765)
% 198.08/197.86 [3077]P13(x30773,x30772,x30774,x30775)+~E(x30771,x30772)+~P13(x30773,x30771,x30774,x30775)
% 198.08/197.86 [3078]P13(x30783,x30784,x30782,x30785)+~E(x30781,x30782)+~P13(x30783,x30784,x30781,x30785)
% 198.08/197.86 [3079]P13(x30793,x30794,x30795,x30792)+~E(x30791,x30792)+~P13(x30793,x30794,x30795,x30791)
% 198.08/197.86 [3080]P31(x30802,x30803,x30804)+~E(x30801,x30802)+~P31(x30801,x30803,x30804)
% 198.08/197.86 [3081]P31(x30813,x30812,x30814)+~E(x30811,x30812)+~P31(x30813,x30811,x30814)
% 198.08/197.86 [3082]P31(x30823,x30824,x30822)+~E(x30821,x30822)+~P31(x30823,x30824,x30821)
% 198.08/197.86 [3083]~P135(x30831)+P135(x30832)+~E(x30831,x30832)
% 198.08/197.86 [3084]~P101(x30841)+P101(x30842)+~E(x30841,x30842)
% 198.08/197.86 [3085]P25(x30852,x30853,x30854,x30855,x30856,x30857)+~E(x30851,x30852)+~P25(x30851,x30853,x30854,x30855,x30856,x30857)
% 198.08/197.86 [3086]P25(x30863,x30862,x30864,x30865,x30866,x30867)+~E(x30861,x30862)+~P25(x30863,x30861,x30864,x30865,x30866,x30867)
% 198.08/197.86 [3087]P25(x30873,x30874,x30872,x30875,x30876,x30877)+~E(x30871,x30872)+~P25(x30873,x30874,x30871,x30875,x30876,x30877)
% 198.08/197.86 [3088]P25(x30883,x30884,x30885,x30882,x30886,x30887)+~E(x30881,x30882)+~P25(x30883,x30884,x30885,x30881,x30886,x30887)
% 198.08/197.86 [3089]P25(x30893,x30894,x30895,x30896,x30892,x30897)+~E(x30891,x30892)+~P25(x30893,x30894,x30895,x30896,x30891,x30897)
% 198.08/197.86 [3090]P25(x30903,x30904,x30905,x30906,x30907,x30902)+~E(x30901,x30902)+~P25(x30903,x30904,x30905,x30906,x30907,x30901)
% 198.08/197.86 [3091]~P144(x30911)+P144(x30912)+~E(x30911,x30912)
% 198.08/197.86 [3092]~P136(x30921)+P136(x30922)+~E(x30921,x30922)
% 198.08/197.86 [3093]P34(x30932,x30933,x30934)+~E(x30931,x30932)+~P34(x30931,x30933,x30934)
% 198.08/197.86 [3094]P34(x30943,x30942,x30944)+~E(x30941,x30942)+~P34(x30943,x30941,x30944)
% 198.08/197.86 [3095]P34(x30953,x30954,x30952)+~E(x30951,x30952)+~P34(x30953,x30954,x30951)
% 198.08/197.86 [3096]~P128(x30961)+P128(x30962)+~E(x30961,x30962)
% 198.08/197.86 [3097]~P147(x30971)+P147(x30972)+~E(x30971,x30972)
% 198.08/197.86 [3098]~P145(x30981)+P145(x30982)+~E(x30981,x30982)
% 198.08/197.86 [3099]~P141(x30991)+P141(x30992)+~E(x30991,x30992)
% 198.08/197.86 [3100]~P100(x31001)+P100(x31002)+~E(x31001,x31002)
% 198.08/197.86 [3101]~P66(x31011)+P66(x31012)+~E(x31011,x31012)
% 198.08/197.86 [3102]~P69(x31021)+P69(x31022)+~E(x31021,x31022)
% 198.08/197.86 [3103]P20(x31032,x31033,x31034)+~E(x31031,x31032)+~P20(x31031,x31033,x31034)
% 198.08/197.86 [3104]P20(x31043,x31042,x31044)+~E(x31041,x31042)+~P20(x31043,x31041,x31044)
% 198.08/197.86 [3105]P20(x31053,x31054,x31052)+~E(x31051,x31052)+~P20(x31053,x31054,x31051)
% 198.08/197.86 [3106]~P137(x31061)+P137(x31062)+~E(x31061,x31062)
% 198.08/197.86 [3107]~P146(x31071)+P146(x31072)+~E(x31071,x31072)
% 198.08/197.86 [3108]~P124(x31081)+P124(x31082)+~E(x31081,x31082)
% 198.08/197.86 [3109]~P107(x31091)+P107(x31092)+~E(x31091,x31092)
% 198.08/197.86 [3110]~P140(x31101)+P140(x31102)+~E(x31101,x31102)
% 198.08/197.86 [3111]P39(x31112,x31113,x31114)+~E(x31111,x31112)+~P39(x31111,x31113,x31114)
% 198.08/197.86 [3112]P39(x31123,x31122,x31124)+~E(x31121,x31122)+~P39(x31123,x31121,x31124)
% 198.08/197.86 [3113]P39(x31133,x31134,x31132)+~E(x31131,x31132)+~P39(x31133,x31134,x31131)
% 198.08/197.86 [3114]~P67(x31141)+P67(x31142)+~E(x31141,x31142)
% 198.08/197.86 [3115]~P139(x31151)+P139(x31152)+~E(x31151,x31152)
% 198.08/197.86 [3116]P63(x31162,x31163,x31164,x31165)+~E(x31161,x31162)+~P63(x31161,x31163,x31164,x31165)
% 198.08/197.86 [3117]P63(x31173,x31172,x31174,x31175)+~E(x31171,x31172)+~P63(x31173,x31171,x31174,x31175)
% 198.08/197.86 [3118]P63(x31183,x31184,x31182,x31185)+~E(x31181,x31182)+~P63(x31183,x31184,x31181,x31185)
% 198.08/197.86 [3119]P63(x31193,x31194,x31195,x31192)+~E(x31191,x31192)+~P63(x31193,x31194,x31195,x31191)
% 198.08/197.86 [3120]~P118(x31201)+P118(x31202)+~E(x31201,x31202)
% 198.08/197.86 [3121]~P123(x31211)+P123(x31212)+~E(x31211,x31212)
% 198.08/197.86 [3122]~P94(x31221)+P94(x31222)+~E(x31221,x31222)
% 198.08/197.86 [3123]P36(x31232,x31233,x31234,x31235)+~E(x31231,x31232)+~P36(x31231,x31233,x31234,x31235)
% 198.08/197.86 [3124]P36(x31243,x31242,x31244,x31245)+~E(x31241,x31242)+~P36(x31243,x31241,x31244,x31245)
% 198.08/197.86 [3125]P36(x31253,x31254,x31252,x31255)+~E(x31251,x31252)+~P36(x31253,x31254,x31251,x31255)
% 198.08/197.86 [3126]P36(x31263,x31264,x31265,x31262)+~E(x31261,x31262)+~P36(x31263,x31264,x31265,x31261)
% 198.08/197.86 [3127]P14(x31272,x31273,x31274,x31275,x31276,x31277)+~E(x31271,x31272)+~P14(x31271,x31273,x31274,x31275,x31276,x31277)
% 198.08/197.86 [3128]P14(x31283,x31282,x31284,x31285,x31286,x31287)+~E(x31281,x31282)+~P14(x31283,x31281,x31284,x31285,x31286,x31287)
% 198.08/197.86 [3129]P14(x31293,x31294,x31292,x31295,x31296,x31297)+~E(x31291,x31292)+~P14(x31293,x31294,x31291,x31295,x31296,x31297)
% 198.08/197.86 [3130]P14(x31303,x31304,x31305,x31302,x31306,x31307)+~E(x31301,x31302)+~P14(x31303,x31304,x31305,x31301,x31306,x31307)
% 198.08/197.86 [3131]P14(x31313,x31314,x31315,x31316,x31312,x31317)+~E(x31311,x31312)+~P14(x31313,x31314,x31315,x31316,x31311,x31317)
% 198.08/197.86 [3132]P14(x31323,x31324,x31325,x31326,x31327,x31322)+~E(x31321,x31322)+~P14(x31323,x31324,x31325,x31326,x31327,x31321)
% 198.08/197.86 [3133]~P120(x31331)+P120(x31332)+~E(x31331,x31332)
% 198.08/197.86 [3134]~P103(x31341)+P103(x31342)+~E(x31341,x31342)
% 198.08/197.86 [3135]~P133(x31351)+P133(x31352)+~E(x31351,x31352)
% 198.08/197.86 [3136]~P40(x31361)+P40(x31362)+~E(x31361,x31362)
% 198.08/197.86 [3137]~P149(x31371)+P149(x31372)+~E(x31371,x31372)
% 198.08/197.86 [3138]~P134(x31381)+P134(x31382)+~E(x31381,x31382)
% 198.08/197.86 [3139]P46(x31392,x31393,x31394,x31395)+~E(x31391,x31392)+~P46(x31391,x31393,x31394,x31395)
% 198.08/197.86 [3140]P46(x31403,x31402,x31404,x31405)+~E(x31401,x31402)+~P46(x31403,x31401,x31404,x31405)
% 198.08/197.86 [3141]P46(x31413,x31414,x31412,x31415)+~E(x31411,x31412)+~P46(x31413,x31414,x31411,x31415)
% 198.08/197.86 [3142]P46(x31423,x31424,x31425,x31422)+~E(x31421,x31422)+~P46(x31423,x31424,x31425,x31421)
% 198.08/197.86 [3143]P29(x31432,x31433)+~E(x31431,x31432)+~P29(x31431,x31433)
% 198.08/197.86 [3144]P29(x31443,x31442)+~E(x31441,x31442)+~P29(x31443,x31441)
% 198.08/197.86 [3145]P12(x31452,x31453,x31454,x31455,x31456)+~E(x31451,x31452)+~P12(x31451,x31453,x31454,x31455,x31456)
% 198.08/197.86 [3146]P12(x31463,x31462,x31464,x31465,x31466)+~E(x31461,x31462)+~P12(x31463,x31461,x31464,x31465,x31466)
% 198.08/197.86 [3147]P12(x31473,x31474,x31472,x31475,x31476)+~E(x31471,x31472)+~P12(x31473,x31474,x31471,x31475,x31476)
% 198.08/197.86 [3148]P12(x31483,x31484,x31485,x31482,x31486)+~E(x31481,x31482)+~P12(x31483,x31484,x31485,x31481,x31486)
% 198.08/197.86 [3149]P12(x31493,x31494,x31495,x31496,x31492)+~E(x31491,x31492)+~P12(x31493,x31494,x31495,x31496,x31491)
% 198.08/197.86 [3150]~P82(x31501)+P82(x31502)+~E(x31501,x31502)
% 198.08/197.86 [3151]P61(x31512,x31513,x31514,x31515,x31516)+~E(x31511,x31512)+~P61(x31511,x31513,x31514,x31515,x31516)
% 198.08/197.86 [3152]P61(x31523,x31522,x31524,x31525,x31526)+~E(x31521,x31522)+~P61(x31523,x31521,x31524,x31525,x31526)
% 198.08/197.86 [3153]P61(x31533,x31534,x31532,x31535,x31536)+~E(x31531,x31532)+~P61(x31533,x31534,x31531,x31535,x31536)
% 198.08/197.86 [3154]P61(x31543,x31544,x31545,x31542,x31546)+~E(x31541,x31542)+~P61(x31543,x31544,x31545,x31541,x31546)
% 198.08/197.86 [3155]P61(x31553,x31554,x31555,x31556,x31552)+~E(x31551,x31552)+~P61(x31553,x31554,x31555,x31556,x31551)
% 198.08/197.86 [3156]P19(x31562,x31563,x31564)+~E(x31561,x31562)+~P19(x31561,x31563,x31564)
% 198.08/197.86 [3157]P19(x31573,x31572,x31574)+~E(x31571,x31572)+~P19(x31573,x31571,x31574)
% 198.08/197.86 [3158]P19(x31583,x31584,x31582)+~E(x31581,x31582)+~P19(x31583,x31584,x31581)
% 198.08/197.86 [3159]~P108(x31591)+P108(x31592)+~E(x31591,x31592)
% 198.08/197.86 [3160]~P106(x31601)+P106(x31602)+~E(x31601,x31602)
% 198.08/197.86 [3161]~P127(x31611)+P127(x31612)+~E(x31611,x31612)
% 198.08/197.86 [3162]~P50(x31621)+P50(x31622)+~E(x31621,x31622)
% 198.08/197.86 [3163]~P93(x31631)+P93(x31632)+~E(x31631,x31632)
% 198.08/197.86 [3164]P48(x31642,x31643)+~E(x31641,x31642)+~P48(x31641,x31643)
% 198.08/197.86 [3165]P48(x31653,x31652)+~E(x31651,x31652)+~P48(x31653,x31651)
% 198.08/197.86 [3166]P58(x31662,x31663)+~E(x31661,x31662)+~P58(x31661,x31663)
% 198.08/197.86 [3167]P58(x31673,x31672)+~E(x31671,x31672)+~P58(x31673,x31671)
% 198.08/197.86 [3168]~P95(x31681)+P95(x31682)+~E(x31681,x31682)
% 198.08/197.86 [3169]~P119(x31691)+P119(x31692)+~E(x31691,x31692)
% 198.08/197.86 [3170]P49(x31702,x31703)+~E(x31701,x31702)+~P49(x31701,x31703)
% 198.08/197.86 [3171]P49(x31713,x31712)+~E(x31711,x31712)+~P49(x31713,x31711)
% 198.08/197.86 [3172]P11(x31722,x31723,x31724)+~E(x31721,x31722)+~P11(x31721,x31723,x31724)
% 198.08/197.86 [3173]P11(x31733,x31732,x31734)+~E(x31731,x31732)+~P11(x31733,x31731,x31734)
% 198.08/197.86 [3174]P11(x31743,x31744,x31742)+~E(x31741,x31742)+~P11(x31743,x31744,x31741)
% 198.08/197.86 [3175]P51(x31752,x31753)+~E(x31751,x31752)+~P51(x31751,x31753)
% 198.08/197.86 [3176]P51(x31763,x31762)+~E(x31761,x31762)+~P51(x31763,x31761)
% 198.08/197.86 [3177]~P78(x31771)+P78(x31772)+~E(x31771,x31772)
% 198.08/197.86
% 198.08/197.86 %-------------------------------------------
% 198.16/197.92 cnf(10565,plain,
% 198.16/197.92 (~E(f326(a112,x105651),x105651)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10575,plain,
% 198.16/197.92 (~E(f326(a112,x105751),x105751)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10588,plain,
% 198.16/197.92 (~E(f326(a112,x105881),x105881)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10593,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x105931),f113(x105931)),x105932))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10596,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x105961),f113(x105961)),x105962))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10599,plain,
% 198.16/197.92 (~E(f326(a112,x105991),x105991)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10602,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x106021),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(10605,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x106051),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(10622,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,x106221)),x106221))),
% 198.16/197.92 inference(rename_variables,[],[4795])).
% 198.16/197.92 cnf(10625,plain,
% 198.16/197.92 (~E(f326(f326(f151(x106251),x106252),x106253),x106253)),
% 198.16/197.92 inference(rename_variables,[],[4753])).
% 198.16/197.92 cnf(10631,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x106311),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(10634,plain,
% 198.16/197.92 (E(f326(f283(x106341,x106341),f262(x106341,x106342)),x106342)),
% 198.16/197.92 inference(rename_variables,[],[3537])).
% 198.16/197.92 cnf(10637,plain,
% 198.16/197.92 (E(f326(f283(x106371,x106371),f262(x106371,x106372)),x106372)),
% 198.16/197.92 inference(rename_variables,[],[3537])).
% 198.16/197.92 cnf(10642,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x106421),x106421))),
% 198.16/197.92 inference(rename_variables,[],[4785])).
% 198.16/197.92 cnf(10647,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x106471),x106472)),x106472))),
% 198.16/197.92 inference(rename_variables,[],[4810])).
% 198.16/197.92 cnf(10650,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x106501),x106502)),x106502))),
% 198.16/197.92 inference(rename_variables,[],[4810])).
% 198.16/197.92 cnf(10657,plain,
% 198.16/197.92 (~E(x106571,f326(a112,x106571))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,3371,3537,10634,3413,3474,3409,3436,3420,4753,3644,3560,4789,10602,10605,4786,4748,4794,10593,4785,4795,4399,4792,3553,4778,4812,4810,10647,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424])).
% 198.16/197.92 cnf(10671,plain,
% 198.16/197.92 (~E(f326(a112,x106711),x106711)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10674,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x106741),x106741))),
% 198.16/197.92 inference(rename_variables,[],[4785])).
% 198.16/197.92 cnf(10677,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),f45(a931,x106771,x106772)),x106771))),
% 198.16/197.92 inference(rename_variables,[],[4035])).
% 198.16/197.92 cnf(10698,plain,
% 198.16/197.92 (E(f326(f35(a931),f326(f281(a931),x106981)),x106981)),
% 198.16/197.92 inference(rename_variables,[],[3471])).
% 198.16/197.92 cnf(10706,plain,
% 198.16/197.92 (~E(f326(a112,x107061),x107061)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10709,plain,
% 198.16/197.92 (~E(f326(a112,x107091),x107091)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10712,plain,
% 198.16/197.92 (~E(f326(a112,x107121),x107121)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10717,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x107171),f326(a112,x107171)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(10726,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x107261),x107261))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(10733,plain,
% 198.16/197.92 (E(f326(f283(x107331,x107331),f262(x107331,x107332)),x107332)),
% 198.16/197.92 inference(rename_variables,[],[3537])).
% 198.16/197.92 cnf(10736,plain,
% 198.16/197.92 (E(f326(f283(x107361,x107361),f262(x107361,x107362)),x107362)),
% 198.16/197.92 inference(rename_variables,[],[3537])).
% 198.16/197.92 cnf(10753,plain,
% 198.16/197.92 (P1(f326(f326(f234(a1),x107531),x107531))),
% 198.16/197.92 inference(rename_variables,[],[3577])).
% 198.16/197.92 cnf(10758,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x107581),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(10761,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x107611,a927)),x107612),f241(f939(x107611,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(10766,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x107661),f113(x107661)),x107662))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10795,plain,
% 198.16/197.92 (~E(f326(f326(f151(x107951),x107952),x107953),x107953)),
% 198.16/197.92 inference(rename_variables,[],[4753])).
% 198.16/197.92 cnf(10798,plain,
% 198.16/197.92 (~E(f326(a112,x107981),f2(a931))),
% 198.16/197.92 inference(rename_variables,[],[4744])).
% 198.16/197.92 cnf(10809,plain,
% 198.16/197.92 (P1(f326(f326(f234(a1),x108091),x108091))),
% 198.16/197.92 inference(rename_variables,[],[3577])).
% 198.16/197.92 cnf(10814,plain,
% 198.16/197.92 (~E(f326(a112,x108141),x108141)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10817,plain,
% 198.16/197.92 (~P1(f326(f326(f188(f939(x108171,f939(x108172,a927))),x108173),x108174))),
% 198.16/197.92 inference(rename_variables,[],[4813])).
% 198.16/197.92 cnf(10824,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x108241),x108241))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(10837,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x108371),f326(a112,x108371)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(10858,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x108581,a927)),x108582),f241(f939(x108581,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(10861,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x108611),f113(x108611)),x108612))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10880,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x108801),f113(x108801)),x108802))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10887,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x108871),f113(x108871)),x108872))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10900,plain,
% 198.16/197.92 (~E(f326(a112,x109001),f2(a931))),
% 198.16/197.92 inference(rename_variables,[],[4744])).
% 198.16/197.92 cnf(10905,plain,
% 198.16/197.92 (P1(f326(f326(f328(x109051),x109052),f241(f939(x109051,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(10912,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x109121),f113(x109121)),x109122))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10917,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x109171),f326(a112,x109171)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(10920,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x109201),f113(x109201)),x109202))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10923,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x109231),f113(x109231)),x109232))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10926,plain,
% 198.16/197.92 (~P1(f326(f62(x109261,x109262,f188(f939(x109261,a927))),x109263))),
% 198.16/197.92 inference(rename_variables,[],[4809])).
% 198.16/197.92 cnf(10929,plain,
% 198.16/197.92 (~P1(f326(f62(x109291,x109292,f188(f939(x109291,a927))),x109293))),
% 198.16/197.92 inference(rename_variables,[],[4809])).
% 198.16/197.92 cnf(10932,plain,
% 198.16/197.92 (~P1(f326(f326(f188(f939(x109321,f939(x109322,a927))),x109323),x109324))),
% 198.16/197.92 inference(rename_variables,[],[4813])).
% 198.16/197.92 cnf(10935,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x109351),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(10940,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x109401),f113(x109401)),x109402))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(10951,plain,
% 198.16/197.92 (~E(f326(a112,x109511),x109511)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(10969,plain,
% 198.16/197.92 (P1(f326(f326(f235(a99),f326(a5,x109691)),f326(a5,f326(a112,x109691))))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,4358,4815,3492,3942,3644,10717,10837,10917,4030,3560,4789,10602,10605,10631,10758,4802,4017,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,3577,10753,4785,10642,10674,3729,3669,4098,4035,10677,4795,10622,4399,4792,4777,3553,3557,4779,4778,4809,10926,4812,4813,10817,4058,4810,10647,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356])).
% 198.16/197.92 cnf(10976,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x109761),x109761))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(10979,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x109791),f326(f326(f80(a931),x109791),x109791)))),
% 198.16/197.92 inference(rename_variables,[],[3840])).
% 198.16/197.92 cnf(10981,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x109811),f326(f326(f80(a931),f326(a112,x109811)),f326(a112,x109811))))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,4358,4815,3492,3942,3644,10717,10837,10917,4030,3560,4789,10602,10605,10631,10758,4802,4017,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,3577,10753,4785,10642,10674,3729,3669,4098,4035,10677,4795,10622,4399,4792,4777,3553,3557,4779,4778,4809,10926,3840,10979,4812,4813,10817,4058,4810,10647,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380])).
% 198.16/197.92 cnf(10982,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x109821),f326(f326(f80(a931),x109821),x109821)))),
% 198.16/197.92 inference(rename_variables,[],[3840])).
% 198.16/197.92 cnf(10985,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x109851),f326(a112,f326(f326(f79(a931),x109852),x109851))))),
% 198.16/197.92 inference(rename_variables,[],[4028])).
% 198.16/197.92 cnf(10990,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x109901),f326(a112,x109901)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(10993,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x109931),f326(a112,x109931)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(10996,plain,
% 198.16/197.92 (P1(f326(f326(f328(x109961),x109962),f241(f939(x109961,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11015,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,x110151)),x110151))),
% 198.16/197.92 inference(rename_variables,[],[4795])).
% 198.16/197.92 cnf(11018,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,x110181)),x110181))),
% 198.16/197.92 inference(rename_variables,[],[4795])).
% 198.16/197.92 cnf(11021,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x110211),x110212)),x110212))),
% 198.16/197.92 inference(rename_variables,[],[4810])).
% 198.16/197.92 cnf(11024,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x110241),x110242)),x110242))),
% 198.16/197.92 inference(rename_variables,[],[4810])).
% 198.16/197.92 cnf(11027,plain,
% 198.16/197.92 (P1(f326(f241(f939(x110271,a927)),x110272))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11030,plain,
% 198.16/197.92 (E(f326(f35(a931),f326(f281(a931),x110301)),x110301)),
% 198.16/197.92 inference(rename_variables,[],[3471])).
% 198.16/197.92 cnf(11033,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x110331),f326(a112,x110331)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(11040,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x110401),x110401))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11045,plain,
% 198.16/197.92 (P1(f326(f326(f234(a1),x110451),x110451))),
% 198.16/197.92 inference(rename_variables,[],[3577])).
% 198.16/197.92 cnf(11054,plain,
% 198.16/197.92 (E(f326(f283(x110541,x110541),f262(x110541,x110542)),x110542)),
% 198.16/197.92 inference(rename_variables,[],[3537])).
% 198.16/197.92 cnf(11057,plain,
% 198.16/197.92 (P1(f326(f241(f939(x110571,a927)),x110572))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11059,plain,
% 198.16/197.92 (P35(x110591,f326(f234(a931),f2(a931)),x110592)),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,10736,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,10698,4358,4815,3492,3942,3878,3644,10717,10837,10917,10990,10993,4030,3560,4789,10602,10605,10631,10758,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,10976,3577,10753,10809,4785,10642,10674,3729,10905,3637,11027,3669,4098,4035,10677,4795,10622,11015,3597,4399,4792,4777,3553,3557,4779,4778,4809,10926,4814,3840,10979,4812,4813,10817,4058,4810,10647,10650,11021,4028,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581])).
% 198.16/197.92 cnf(11060,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),f2(a931)),x110601))),
% 198.16/197.92 inference(rename_variables,[],[3597])).
% 198.16/197.92 cnf(11062,plain,
% 198.16/197.92 (P35(x110621,f326(f234(f939(x110622,a927)),f188(f939(x110622,a927))),x110623)),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,10736,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,10698,4358,4815,3492,3942,3878,3644,10717,10837,10917,10990,10993,4030,3560,4789,10602,10605,10631,10758,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,10976,3577,10753,10809,4785,10642,10674,3729,10905,3637,11027,3669,4098,4035,10677,4795,10622,11015,3597,4399,4792,4777,3553,3557,4779,4778,4809,10926,4814,4027,3840,10979,4812,4813,10817,4058,4810,10647,10650,11021,4028,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582])).
% 198.16/197.92 cnf(11063,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x110631,a927)),f188(f939(x110631,a927))),x110632))),
% 198.16/197.92 inference(rename_variables,[],[4027])).
% 198.16/197.92 cnf(11066,plain,
% 198.16/197.92 (P1(f326(f241(f939(x110661,a927)),x110662))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11069,plain,
% 198.16/197.92 (P1(f326(f241(f939(x110691,a927)),x110692))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11072,plain,
% 198.16/197.92 (P1(f326(f241(f939(x110721,a927)),x110722))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11075,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x110751),f326(f326(f80(a931),x110751),x110751)))),
% 198.16/197.92 inference(rename_variables,[],[3840])).
% 198.16/197.92 cnf(11084,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,f326(a112,f326(f326(f79(a931),x110841),x110842)))),f326(a112,x110842)))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,10698,4358,4815,3492,3942,3878,3644,10717,10837,10917,10990,10993,11033,4030,3560,4789,10602,10605,10631,10758,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,10976,3577,10753,10809,4785,10642,10674,3729,10905,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,3597,4399,4792,4777,3553,3557,4779,4778,4809,10926,4814,4027,3840,10979,10982,4812,4813,10817,4058,4810,10647,10650,11021,4028,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635])).
% 198.16/197.92 cnf(11092,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a99),f326(a5,x110921)),f326(a5,f2(a931))))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,10698,4358,4815,3492,3942,3878,3644,10717,10837,10917,10990,10993,11033,4030,3560,4789,10602,10605,10631,10758,10935,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,4308,3960,10761,3576,10726,10824,10976,3577,10753,10809,4785,10642,10674,3729,10905,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,4399,4792,4777,3553,3557,4779,4778,4809,10926,4814,4027,3840,10979,10982,4812,4813,10817,4058,4810,10647,10650,11021,4028,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640])).
% 198.16/197.92 cnf(11115,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x111151),x111151))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11126,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x111261),f113(x111261)),x111262))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(11133,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x111331),f326(a112,x111331)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(11135,plain,
% 198.16/197.92 (P1(f326(f326(f235(a1),f326(f326(f3(a1),x111351),f77(a1))),x111351))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,4744,10798,3371,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3507,4753,10625,3471,10698,4358,4216,4815,3492,3942,3878,3644,10717,10837,10917,10990,10993,11033,4030,3560,4789,10602,10605,10631,10758,10935,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,4308,3960,10761,3576,10726,10824,10976,11040,11115,3577,10753,10809,11045,4785,10642,10674,3729,10905,4798,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,4399,4792,4777,4780,3553,3557,4779,4778,4809,10926,4814,4027,3840,10979,10982,4812,4813,10817,4058,4810,10647,10650,11021,4028,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901])).
% 198.16/197.92 cnf(11136,plain,
% 198.16/197.92 (P1(f326(f326(f234(a1),x111361),x111361))),
% 198.16/197.92 inference(rename_variables,[],[3577])).
% 198.16/197.92 cnf(11141,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x111411),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(11156,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x111561),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(11159,plain,
% 198.16/197.92 (~P1(f326(f326(f235(f939(x111591,a927)),x111592),f188(f939(x111591,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4807])).
% 198.16/197.92 cnf(11162,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x111621),x111621))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11165,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x111651),x111651))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11180,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x111801),x111801))),
% 198.16/197.92 inference(rename_variables,[],[4785])).
% 198.16/197.92 cnf(11189,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x111891),x111892),f188(f939(x111891,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11196,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x111961),x111961))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11199,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x111991),x111992),f188(f939(x111991,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11202,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x112021,a927)),f326(f309(x112022,x112021,x112023),f326(f310(x112022,x112021,x112023),x112024))),x112024))),
% 198.16/197.92 inference(rename_variables,[],[4454])).
% 198.16/197.92 cnf(11211,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x112111,a927)),f326(f172(x112111),f326(f136(x112111,x112112),x112113))),f326(f172(x112111),x112113)))),
% 198.16/197.92 inference(rename_variables,[],[4225])).
% 198.16/197.92 cnf(11214,plain,
% 198.16/197.92 (E(f326(f309(x112141,x112141,f7(x112141)),x112142),x112142)),
% 198.16/197.92 inference(rename_variables,[],[3633])).
% 198.16/197.92 cnf(11219,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),f2(a931)),x112191))),
% 198.16/197.92 inference(rename_variables,[],[3597])).
% 198.16/197.92 cnf(11222,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x112221),x112221))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11225,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x112251),x112251))),
% 198.16/197.92 inference(rename_variables,[],[4785])).
% 198.16/197.92 cnf(11234,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x112341),x112341))),
% 198.16/197.92 inference(rename_variables,[],[4785])).
% 198.16/197.92 cnf(11245,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x112451),f326(f326(f80(a931),x112451),x112451)))),
% 198.16/197.92 inference(rename_variables,[],[3840])).
% 198.16/197.92 cnf(11251,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x112511),f326(a112,f326(f326(f79(a931),x112512),x112511))))),
% 198.16/197.92 inference(rename_variables,[],[4028])).
% 198.16/197.92 cnf(11258,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x112581),x112581))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11261,plain,
% 198.16/197.92 (P1(f326(f326(f234(a1),x112611),x112611))),
% 198.16/197.92 inference(rename_variables,[],[3577])).
% 198.16/197.92 cnf(11264,plain,
% 198.16/197.92 (~E(f326(a112,x112641),x112641)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11269,plain,
% 198.16/197.92 (P1(f326(f326(f328(x112691),x112692),f241(f939(x112691,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11274,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x112741),f2(a931)))),
% 198.16/197.92 inference(rename_variables,[],[4789])).
% 198.16/197.92 cnf(11289,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),f2(a931)),x112891))),
% 198.16/197.92 inference(rename_variables,[],[3597])).
% 198.16/197.92 cnf(11296,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x112961),x112961))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11305,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x113051),x113052),f188(f939(x113051,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11313,plain,
% 198.16/197.92 (P1(f326(f326(f328(x113131),x113132),f241(f939(x113131,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11316,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x113161),f932(x113161))),f326(f326(f251(f932(x113161),f932(x113161)),x113162),f113(x113161))),f145(x113161,x113163)))),
% 198.16/197.92 inference(rename_variables,[],[4815])).
% 198.16/197.92 cnf(11323,plain,
% 198.16/197.92 (P1(f326(f326(f286(a931),f326(a112,f2(a931))),x113231))),
% 198.16/197.92 inference(rename_variables,[],[3730])).
% 198.16/197.92 cnf(11325,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(x113251,x113251)),x113252),f262(x113251,f188(f939(x113251,a927)))))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,4744,10798,3371,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3633,3507,4753,10625,3471,10698,4358,4216,4815,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,4320,4225,11211,3943,4308,3960,10761,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,4798,11189,11199,11305,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,4027,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210])).
% 198.16/197.92 cnf(11326,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x113261),x113262),f188(f939(x113261,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11328,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x113281),x113282),f326(f310(x113281,x113283,x113284),f188(f939(x113283,a927)))))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,4744,10798,3371,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3633,3507,4753,10625,3471,10698,4358,4216,4815,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,4320,4225,11211,3943,4308,3960,10761,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,4798,11189,11199,11305,11326,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,4027,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241])).
% 198.16/197.92 cnf(11329,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x113291),x113292),f188(f939(x113291,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11332,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x113321,a927)),x113322),f326(f326(f308(x113321),x113323),x113322)))),
% 198.16/197.92 inference(rename_variables,[],[4025])).
% 198.16/197.92 cnf(11335,plain,
% 198.16/197.92 (P1(f326(f326(f234(a931),x113351),x113351))),
% 198.16/197.92 inference(rename_variables,[],[3576])).
% 198.16/197.92 cnf(11338,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x113381,a927)),x113382),f326(f326(f308(x113381),x113383),x113382)))),
% 198.16/197.92 inference(rename_variables,[],[4025])).
% 198.16/197.92 cnf(11341,plain,
% 198.16/197.92 (E(f326(f309(x113411,x113411,f7(x113411)),x113412),x113412)),
% 198.16/197.92 inference(rename_variables,[],[3633])).
% 198.16/197.92 cnf(11343,plain,
% 198.16/197.92 (P38(x113431,x113432,x113433,f114(x113431,f113(x113431)),f113(x113432))),
% 198.16/197.92 inference(scs_inference,[],[4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,4744,10798,3371,3423,3537,10634,10637,10733,10736,3514,3413,3474,3409,3436,3420,4049,3633,11214,3507,4753,10625,3471,10698,4358,4216,4815,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,4320,4225,11211,3943,4308,3960,10761,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,4798,11189,11199,11305,11326,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,4025,11332,4027,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350])).
% 198.16/197.92 cnf(11356,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x113561,a927)),x113562),f326(f326(f308(x113561),x113563),x113562)))),
% 198.16/197.92 inference(rename_variables,[],[4025])).
% 198.16/197.92 cnf(11369,plain,
% 198.16/197.92 (~E(f326(a112,x113691),f2(a931))),
% 198.16/197.92 inference(rename_variables,[],[4744])).
% 198.16/197.92 cnf(11372,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x113721),f113(x113721)),x113722))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(11385,plain,
% 198.16/197.92 (P1(f326(f326(f235(a931),x113851),f326(a112,x113851)))),
% 198.16/197.92 inference(rename_variables,[],[3644])).
% 198.16/197.92 cnf(11395,plain,
% 198.16/197.92 (~E(f326(f309(x113951,f939(x113951,a927),x113952),x113953),f326(f307(x113951),x113953))),
% 198.16/197.92 inference(rename_variables,[],[4796])).
% 198.16/197.92 cnf(11398,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x113981),x113982),f188(f939(x113981,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11401,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x114011),x114012),f188(f939(x114011,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11404,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(x114041,x114041)),f326(f326(f251(x114041,x114041),x114042),x114043)),f153(x114041,f113(f939(x114041,a931)))))),
% 198.16/197.92 inference(rename_variables,[],[4814])).
% 198.16/197.92 cnf(11407,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(x114071,x114071)),f326(f326(f251(x114071,x114071),x114072),x114073)),f153(x114071,f113(f939(x114071,a931)))))),
% 198.16/197.92 inference(rename_variables,[],[4814])).
% 198.16/197.92 cnf(11412,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x114121),x114122),f188(f939(x114121,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11415,plain,
% 198.16/197.92 (P1(f326(f326(f328(f938(x114151,x114151)),f326(f326(f251(x114151,x114151),x114152),x114152)),f306(x114151,x114153)))),
% 198.16/197.92 inference(rename_variables,[],[4216])).
% 198.16/197.92 cnf(11418,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x114181,a927)),x114182),f241(f939(x114181,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(11421,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x114211,a927)),f326(f172(x114211),f176(x114211,x114212,x114213))),f326(f172(x114211),x114212)))),
% 198.16/197.92 inference(rename_variables,[],[4274])).
% 198.16/197.92 cnf(11437,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x114371,a927)),f188(f939(x114371,a927))),x114372))),
% 198.16/197.92 inference(rename_variables,[],[4027])).
% 198.16/197.92 cnf(11448,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x114481),f932(x114481))),f326(f326(f251(f932(x114481),f932(x114481)),x114482),f113(x114481))),f147(x114481,x114483)))),
% 198.16/197.92 inference(rename_variables,[],[4816])).
% 198.16/197.92 cnf(11459,plain,
% 198.16/197.92 (~E(f326(a112,x114591),x114591)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11462,plain,
% 198.16/197.92 (~E(f326(a112,x114621),x114621)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11466,plain,
% 198.16/197.92 (P1(f326(f326(f328(f938(f932(x114661),f932(x114661))),f326(f326(f251(f932(x114661),f932(x114661)),f113(x114661)),f113(x114661))),f326(f326(f288(f932(x114661),f932(x114661),f932(x114661)),f158(x114661,x114662)),f306(f932(x114661),f158(x114661,x114662)))))),
% 198.16/197.92 inference(scs_inference,[],[4803,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,4744,10798,10900,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,3471,10698,4358,4216,11415,4815,11316,4816,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,4798,11189,11199,11305,11326,11329,11398,11401,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898])).
% 198.16/197.92 cnf(11469,plain,
% 198.16/197.92 (~E(f326(a112,x114691),f2(a931))),
% 198.16/197.92 inference(rename_variables,[],[4744])).
% 198.16/197.92 cnf(11471,plain,
% 198.16/197.92 (E(f326(x114711,f326(f91(x114712,x114713,f241(f939(x114712,a927)),x114711),f326(x114711,x114714))),f326(x114711,x114714))),
% 198.16/197.92 inference(scs_inference,[],[4803,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,3471,10698,4358,4216,11415,4815,11316,4816,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,4798,11189,11199,11305,11326,11329,11398,11401,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912])).
% 198.16/197.92 cnf(11474,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x114741,a927)),x114742),x114742))),
% 198.16/197.92 inference(rename_variables,[],[3874])).
% 198.16/197.92 cnf(11481,plain,
% 198.16/197.92 (~E(f326(a112,x114811),x114811)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11484,plain,
% 198.16/197.92 (~E(f326(a112,x114841),x114841)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11486,plain,
% 198.16/197.92 (~P28(x114861,f939(x114861,a927),x114862,x114863,f326(f307(x114861),x114863))),
% 198.16/197.92 inference(scs_inference,[],[4803,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3471,10698,4358,4216,11415,4815,11316,4816,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,4798,11189,11199,11305,11326,11329,11398,11401,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,3874,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951])).
% 198.16/197.92 cnf(11489,plain,
% 198.16/197.92 (P27(x114891,x114891,f7(x114891),x114892)),
% 198.16/197.92 inference(rename_variables,[],[3815])).
% 198.16/197.92 cnf(11494,plain,
% 198.16/197.92 (~E(f326(f309(x114941,f939(x114941,a927),x114942),x114943),f326(f307(x114941),x114943))),
% 198.16/197.92 inference(rename_variables,[],[4796])).
% 198.16/197.92 cnf(11499,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x114991,a927)),x114992),f241(f939(x114991,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(11515,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115151),x115152),f188(f939(x115151,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11518,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,x115181)),x115181))),
% 198.16/197.92 inference(rename_variables,[],[4795])).
% 198.16/197.92 cnf(11523,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115231),x115232),f188(f939(x115231,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11533,plain,
% 198.16/197.92 (~P1(f326(f326(f328(a931),f326(a112,f326(f142(a931,a931,f79(a931),f2(a931)),x115331))),f326(f172(a931),x115331)))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,4815,11316,4816,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,4807,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,3874,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136])).
% 198.16/197.92 cnf(11534,plain,
% 198.16/197.92 (~P1(f326(f326(f234(a931),f326(a112,x115341)),x115341))),
% 198.16/197.92 inference(rename_variables,[],[4795])).
% 198.16/197.92 cnf(11537,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115371),x115372),f188(f939(x115371,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11546,plain,
% 198.16/197.92 (P1(f326(f326(f328(f938(x115461,x115461)),f326(f326(f251(x115461,x115461),x115462),x115462)),f306(x115461,x115463)))),
% 198.16/197.92 inference(rename_variables,[],[4216])).
% 198.16/197.92 cnf(11549,plain,
% 198.16/197.92 (P1(f326(f326(f328(x115491),x115492),f241(f939(x115491,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11552,plain,
% 198.16/197.92 (P1(f326(f326(f328(x115521),x115522),f241(f939(x115521,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11559,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x115591),f932(x115591))),f326(f326(f251(f932(x115591),f932(x115591)),x115592),f113(x115591))),f145(x115591,x115593)))),
% 198.16/197.92 inference(rename_variables,[],[4815])).
% 198.16/197.92 cnf(11562,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x115621),f932(x115621))),f326(f326(f251(f932(x115621),f932(x115621)),x115622),f113(x115621))),f147(x115621,x115623)))),
% 198.16/197.92 inference(rename_variables,[],[4816])).
% 198.16/197.92 cnf(11565,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x115651),f932(x115651))),f326(f326(f251(f932(x115651),f932(x115651)),x115652),f113(x115651))),f157(x115651,x115653)))),
% 198.16/197.92 inference(rename_variables,[],[4817])).
% 198.16/197.92 cnf(11570,plain,
% 198.16/197.92 (~P1(f326(f326(f235(f939(x115701,a927)),x115702),f188(f939(x115701,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4807])).
% 198.16/197.92 cnf(11572,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115721),x115722),f326(f309(x115723,x115721,x115724),f188(f939(x115723,a927)))))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,3874,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376])).
% 198.16/197.92 cnf(11573,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115731),x115732),f188(f939(x115731,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11577,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x115771,a927)),x115772),f326(f326(f110(f939(x115771,a927)),x115773),f241(f939(x115771,a927)))))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,3874,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410])).
% 198.16/197.92 cnf(11578,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x115781,a927)),x115782),f241(f939(x115781,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(11581,plain,
% 198.16/197.92 (~P1(f326(f326(f188(f939(x115811,f939(x115812,a927))),x115813),x115814))),
% 198.16/197.92 inference(rename_variables,[],[4813])).
% 198.16/197.92 cnf(11587,plain,
% 198.16/197.92 (~P1(f326(f326(f254(x115871,x115872,a927,f326(f172(x115873),f113(x115873))),x115874),x115875))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,4182,4025,11332,11338,3874,4027,11063,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521])).
% 198.16/197.92 cnf(11588,plain,
% 198.16/197.92 (~P1(f326(f326(f172(x115881),f113(x115881)),x115882))),
% 198.16/197.92 inference(rename_variables,[],[4794])).
% 198.16/197.92 cnf(11593,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x115931),x115932),f188(f939(x115931,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11596,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(x115961,x115961)),f326(f326(f251(x115961,x115961),x115962),x115963)),f153(x115961,f113(f939(x115961,a931)))))),
% 198.16/197.92 inference(rename_variables,[],[4814])).
% 198.16/197.92 cnf(11599,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x115991,a927)),x115992),x115992))),
% 198.16/197.92 inference(rename_variables,[],[3874])).
% 198.16/197.92 cnf(11602,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116021),x116022),f188(f939(x116021,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11604,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116041,a927)),f326(f284(x116042,x116041,f188(f939(f938(x116042,x116041),a927))),x116043)),x116044))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586])).
% 198.16/197.92 cnf(11605,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116051,a927)),f188(f939(x116051,a927))),x116052))),
% 198.16/197.92 inference(rename_variables,[],[4027])).
% 198.16/197.92 cnf(11608,plain,
% 198.16/197.92 (P1(f326(f326(f328(f938(x116081,x116081)),f326(f326(f251(x116081,x116081),x116082),x116082)),f306(x116081,x116083)))),
% 198.16/197.92 inference(rename_variables,[],[4216])).
% 198.16/197.92 cnf(11610,plain,
% 198.16/197.92 (~P38(x116101,x116102,x116103,f326(f326(f154(x116104,x116101),x116105),f326(a112,f113(x116104))),f113(x116102))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,11546,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594])).
% 198.16/197.92 cnf(11614,plain,
% 198.16/197.92 (P38(x116141,x116142,x116143,f326(f326(f154(x116144,x116141),x116145),f114(x116144,f113(x116144))),f113(x116142))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,11546,4815,11316,11559,4816,11448,4817,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,4807,11159,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617])).
% 198.16/197.92 cnf(11619,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x116191),f932(x116191))),f326(f326(f251(f932(x116191),f932(x116191)),x116192),f113(x116191))),f157(x116191,x116193)))),
% 198.16/197.92 inference(rename_variables,[],[4817])).
% 198.16/197.92 cnf(11626,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x116261),f932(x116261))),f326(f326(f251(f932(x116261),f932(x116261)),f113(x116261)),x116262)),f145(x116261,x116263)))),
% 198.16/197.92 inference(rename_variables,[],[4818])).
% 198.16/197.92 cnf(11634,plain,
% 198.16/197.92 (P1(f326(f326(f328(x116341),x116342),f241(f939(x116341,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11639,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116391,a927)),f188(f939(x116391,a927))),x116392))),
% 198.16/197.92 inference(rename_variables,[],[4027])).
% 198.16/197.92 cnf(11642,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116421),x116422),f188(f939(x116421,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11645,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116451,a927)),x116452),f241(f939(x116451,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3960])).
% 198.16/197.92 cnf(11649,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116491,a927)),f326(f284(x116492,x116491,x116493),f188(f939(x116492,a927)))),x116494))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,11546,4815,11316,11559,4816,11448,4817,11565,4818,4819,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,11552,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4362,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857])).
% 198.16/197.92 cnf(11650,plain,
% 198.16/197.92 (P1(f326(f326(f234(f939(x116501,a927)),f188(f939(x116501,a927))),x116502))),
% 198.16/197.92 inference(rename_variables,[],[4027])).
% 198.16/197.92 cnf(11652,plain,
% 198.16/197.92 (~P1(f326(f66(a931,x116521,x116522,x116523,f241(f939(a931,a927))),x116524))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,4796,11395,3680,3471,10698,4358,4216,11415,11546,4815,11316,11559,4816,11448,4817,11565,4818,4819,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,11552,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,3637,11027,11057,11066,11069,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4362,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880])).
% 198.16/197.92 cnf(11663,plain,
% 198.16/197.92 (P1(f326(f241(f939(x116631,a927)),x116632))),
% 198.16/197.92 inference(rename_variables,[],[3637])).
% 198.16/197.92 cnf(11671,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x116711),f932(x116711))),f326(f326(f251(f932(x116711),f932(x116711)),x116712),f113(x116711))),f145(x116711,x116713)))),
% 198.16/197.92 inference(rename_variables,[],[4815])).
% 198.16/197.92 cnf(11674,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x116741),f932(x116741))),f326(f326(f251(f932(x116741),f932(x116741)),x116742),f113(x116741))),f147(x116741,x116743)))),
% 198.16/197.92 inference(rename_variables,[],[4816])).
% 198.16/197.92 cnf(11677,plain,
% 198.16/197.92 (~E(f326(f326(f151(x116771),x116772),x116773),x116773)),
% 198.16/197.92 inference(rename_variables,[],[4753])).
% 198.16/197.92 cnf(11680,plain,
% 198.16/197.92 (~E(f326(a112,x116801),x116801)),
% 198.16/197.92 inference(rename_variables,[],[4734])).
% 198.16/197.92 cnf(11682,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116821),x116822),f326(f284(x116823,x116821,x116824),f188(f939(x116823,a927)))))),
% 198.16/197.92 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,4744,10798,10900,11369,3371,3423,3537,10634,10637,10733,10736,3514,4037,3413,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,10795,4796,11395,3680,3471,10698,4358,4216,11415,11546,4815,11316,11559,4816,11448,11562,4817,11565,4818,11626,4819,3492,3773,3942,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,4789,10602,10605,10631,10758,10935,11141,11156,11274,4802,4017,3782,4164,3603,3605,3579,4786,4748,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,11552,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,3637,11027,11057,11066,11069,11072,3669,4098,4035,10677,4795,10622,11015,11018,11518,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4809,10926,4814,11404,11407,4182,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4362,4058,4810,10647,10650,11021,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996])).
% 198.16/197.92 cnf(11683,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116831),x116832),f188(f939(x116831,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11688,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116881),x116882),f188(f939(x116881,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11691,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x116911),x116912),f188(f939(x116911,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11694,plain,
% 198.16/197.92 (P1(f326(f326(f328(f938(f932(x116941),f932(x116941))),f326(f326(f251(f932(x116941),f932(x116941)),x116942),x116942)),f158(x116941,f306(x116941,x116943))))),
% 198.16/197.92 inference(rename_variables,[],[4351])).
% 198.16/197.92 cnf(11697,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(f932(x116971),f932(x116971))),f326(f326(f251(f932(x116971),f932(x116971)),x116972),f113(x116971))),f145(x116971,x116973)))),
% 198.16/197.92 inference(rename_variables,[],[4815])).
% 198.16/197.92 cnf(11707,plain,
% 198.16/197.92 (~P1(f326(f326(f328(f938(x117071,x117071)),f326(f326(f251(x117071,x117071),x117072),x117073)),f153(x117071,f113(f939(x117071,a931)))))),
% 198.16/197.92 inference(rename_variables,[],[4814])).
% 198.16/197.92 cnf(11710,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x117101),x117102),f188(f939(x117101,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11713,plain,
% 198.16/197.92 (~P1(f326(f326(f328(x117131),x117132),f188(f939(x117131,a927))))),
% 198.16/197.92 inference(rename_variables,[],[4798])).
% 198.16/197.92 cnf(11716,plain,
% 198.16/197.92 (P1(f326(f326(f328(x117161),x117162),f241(f939(x117161,a927))))),
% 198.16/197.92 inference(rename_variables,[],[3729])).
% 198.16/197.92 cnf(11719,plain,
% 198.16/197.92 (~P1(f326(f326(f235(a931),x117191),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(11724,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(x117241,x117241)),f326(f326(f251(x117241,x117241),x117242),x117243)),f153(x117241,f113(f939(x117241,a931)))))),
% 198.16/197.93 inference(rename_variables,[],[4814])).
% 198.16/197.93 cnf(11733,plain,
% 198.16/197.93 (~E(f326(f309(x117331,f939(x117331,a927),x117332),x117333),f326(f307(x117331),x117333))),
% 198.16/197.93 inference(rename_variables,[],[4796])).
% 198.16/197.93 cnf(11736,plain,
% 198.16/197.93 (~E(f326(f309(x117361,f939(x117361,a927),x117362),x117363),f326(f307(x117361),x117363))),
% 198.16/197.93 inference(rename_variables,[],[4796])).
% 198.16/197.93 cnf(11741,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(f932(x117411),f932(x117411))),f326(f326(f251(f932(x117411),f932(x117411)),x117412),f113(x117411))),f145(x117411,x117413)))),
% 198.16/197.93 inference(rename_variables,[],[4815])).
% 198.16/197.93 cnf(11744,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(f932(x117441),f932(x117441))),f326(f326(f251(f932(x117441),f932(x117441)),x117442),f113(x117441))),f147(x117441,x117443)))),
% 198.16/197.93 inference(rename_variables,[],[4816])).
% 198.16/197.93 cnf(11747,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(f932(x117471),f932(x117471))),f326(f326(f251(f932(x117471),f932(x117471)),x117472),f113(x117471))),f145(x117471,x117473)))),
% 198.16/197.93 inference(rename_variables,[],[4815])).
% 198.16/197.93 cnf(11750,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x117501),x117502),f188(f939(x117501,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(11755,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x117551),x117552),f188(f939(x117551,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(11758,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x117581),x117582),f188(f939(x117581,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(11761,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x117611),x117612),f188(f939(x117611,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(11764,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x117641),x117642),f188(f939(x117641,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(11767,plain,
% 198.16/197.93 (P1(f326(f326(f328(x117671),f326(x117672,x117673)),f326(f309(x117674,x117671,x117672),f241(f939(x117674,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(11770,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(x117701,x117701)),f326(f326(f251(x117701,x117701),x117702),x117703)),f153(x117701,f113(f939(x117701,a931)))))),
% 198.16/197.93 inference(rename_variables,[],[4814])).
% 198.16/197.93 cnf(11778,plain,
% 198.16/197.93 (E(f114(x117781,f113(x117781)),f113(x117781))),
% 198.16/197.93 inference(rename_variables,[],[3423])).
% 198.16/197.93 cnf(11781,plain,
% 198.16/197.93 (~E(f326(a112,x117811),x117811)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11788,plain,
% 198.16/197.93 (~E(f326(a112,x117881),x117881)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11793,plain,
% 198.16/197.93 (E(f326(f283(x117931,x117931),f262(x117931,x117932)),x117932)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(11796,plain,
% 198.16/197.93 (E(f326(f283(x117961,x117961),f262(x117961,x117962)),x117962)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(11802,plain,
% 198.16/197.93 (~E(f326(a112,x118021),x118021)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11807,plain,
% 198.16/197.93 (~E(f326(f326(f79(a1),x118071),x118071),a97)),
% 198.16/197.93 inference(rename_variables,[],[4751])).
% 198.16/197.93 cnf(11814,plain,
% 198.16/197.93 (E(f326(f326(f3(a931),f2(a931)),x118141),f2(a931))),
% 198.16/197.93 inference(rename_variables,[],[3493])).
% 198.16/197.93 cnf(11817,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x118171),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(11824,plain,
% 198.16/197.93 (E(f326(f326(f79(a1),f326(f326(f80(a1),x118241),f326(f326(f36(a1),x118242),x118241))),f45(a1,x118242,x118241)),x118242)),
% 198.16/197.93 inference(rename_variables,[],[4131])).
% 198.16/197.93 cnf(11848,plain,
% 198.16/197.93 (~E(f326(a112,x118481),x118481)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11851,plain,
% 198.16/197.93 (~E(f326(a112,x118511),x118511)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11877,plain,
% 198.16/197.93 (~P1(f326(f326(f172(x118771),f113(x118771)),x118772))),
% 198.16/197.93 inference(rename_variables,[],[4794])).
% 198.16/197.93 cnf(11883,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),f2(a931)),f326(a112,x118831)))),
% 198.16/197.93 inference(rename_variables,[],[3656])).
% 198.16/197.93 cnf(11884,plain,
% 198.16/197.93 (~E(f326(a112,x118841),x118841)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11887,plain,
% 198.16/197.93 (P1(f326(f326(f328(x118871),x118872),f241(f939(x118871,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(11899,plain,
% 198.16/197.93 (~E(f326(a112,x118991),x118991)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11902,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x119021),x119021))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(11909,plain,
% 198.16/197.93 (P1(f326(f66(x119091,x119092,x119093,x119094,f188(f939(x119091,a927))),x119094))),
% 198.16/197.93 inference(rename_variables,[],[4493])).
% 198.16/197.93 cnf(11910,plain,
% 198.16/197.93 (E(f326(f283(x119101,x119101),f262(x119101,x119102)),x119102)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(11923,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x119231),x119232)),x119232))),
% 198.16/197.93 inference(rename_variables,[],[4810])).
% 198.16/197.93 cnf(11926,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x119261)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(11942,plain,
% 198.16/197.93 (~E(f326(f326(f101(a931),f326(a112,x119421)),x119421),f326(a112,x119421))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,3497,4744,10798,10900,11369,3186,3192,3196,3197,3200,3203,3218,3236,3242,3243,3259,3261,3262,3270,3278,3313,3323,3324,3334,3355,3371,4732,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,3514,4037,3413,4131,11824,3474,3409,3436,3420,4049,3633,11214,3507,4214,4753,10625,10795,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,4817,11565,4818,11626,4819,3492,3773,3942,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,4030,3560,3656,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,4802,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,11261,3578,4785,10642,10674,11180,11225,3729,10905,10996,11269,11313,11549,11552,11634,11716,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,3637,11027,11057,11066,11069,11072,3669,4098,4035,10677,4795,10622,11015,11018,11518,11534,3597,11060,11219,4399,4792,4106,4777,4780,3553,3557,4779,4778,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4362,4058,4810,10647,10650,11021,11024,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616])).
% 198.16/197.93 cnf(11949,plain,
% 198.16/197.93 (E(f326(f283(x119491,x119491),f262(x119491,x119492)),x119492)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(11954,plain,
% 198.16/197.93 (E(f326(f283(x119541,x119541),f262(x119541,x119542)),x119542)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(11957,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x119571)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(11962,plain,
% 198.16/197.93 (~E(f326(a112,x119621),x119621)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(11971,plain,
% 198.16/197.93 (~P1(f326(f326(f172(x119711),f113(x119711)),x119712))),
% 198.16/197.93 inference(rename_variables,[],[4794])).
% 198.16/197.93 cnf(11992,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x119921)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(11995,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x119951),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(11996,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x119961),f326(a112,x119961)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(11999,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x119991)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(12002,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x120021),x120022),f188(f939(x120021,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12003,plain,
% 198.16/197.93 (P1(f326(f326(f328(f939(x120031,a927)),x120032),f326(f307(x120031),x120032)))),
% 198.16/197.93 inference(rename_variables,[],[3943])).
% 198.16/197.93 cnf(12018,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x120181)),x120181))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12019,plain,
% 198.16/197.93 (~E(f326(a112,x120191),x120191)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12022,plain,
% 198.16/197.93 (E(f326(f283(x120221,x120221),f262(x120221,x120222)),x120222)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12032,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x120321),x120322)),x120321))),
% 198.16/197.93 inference(rename_variables,[],[4811])).
% 198.16/197.93 cnf(12035,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x120351)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(12038,plain,
% 198.16/197.93 (~E(f326(a112,x120381),x120381)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12051,plain,
% 198.16/197.93 (P1(f326(f326(f328(x120511),x120512),f326(f326(f308(x120511),x120512),x120513)))),
% 198.16/197.93 inference(rename_variables,[],[3890])).
% 198.16/197.93 cnf(12052,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a1),f2(a1)),f326(f78(a1),f326(f100(a1),f326(a112,x120521)))))),
% 198.16/197.93 inference(rename_variables,[],[4812])).
% 198.16/197.93 cnf(12055,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),f326(f326(f3(a931),x120551),x120552)),f326(a112,x120551)))),
% 198.16/197.93 inference(rename_variables,[],[4030])).
% 198.16/197.93 cnf(12058,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f45(a931,x120581,x120582)),x120581))),
% 198.16/197.93 inference(rename_variables,[],[4035])).
% 198.16/197.93 cnf(12064,plain,
% 198.16/197.93 (E(f326(f283(x120641,x120641),f262(x120641,x120642)),x120642)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12069,plain,
% 198.16/197.93 (E(f326(f326(f134(x120691),f169(x120691,x120692,x120693)),f169(x120691,x120694,x120693)),f326(f326(f134(x120691),f169(x120691,x120694,x120693)),f169(x120691,x120692,x120693)))),
% 198.16/197.93 inference(rename_variables,[],[4145])).
% 198.16/197.93 cnf(12074,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x120741)),x120741))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12083,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x120831),x120831))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12086,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f45(a931,x120861,x120862)),x120861))),
% 198.16/197.93 inference(rename_variables,[],[4035])).
% 198.16/197.93 cnf(12087,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x120871))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(12089,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a1),f77(a1)),f2(a1)))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,3497,4744,10798,10900,11369,3185,3186,3192,3193,3196,3197,3200,3203,3204,3218,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3323,3324,3326,3334,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,3514,4037,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,4030,3560,3656,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,4802,11926,11957,11992,11999,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,3577,10753,10809,11045,11136,11261,3578,4785,10642,10674,11180,11225,11234,3729,10905,10996,11269,11313,11549,11552,11634,11716,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,4795,10622,11015,11018,11518,11534,12018,3597,11060,11219,11289,4399,4792,4106,4777,4780,3553,3557,4779,4778,3890,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,4813,10817,10932,4454,4362,4058,4810,10647,10650,11021,11024,4811,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061])).
% 198.16/197.93 cnf(12104,plain,
% 198.16/197.93 (E(f326(f283(x121041,x121041),f262(x121041,x121042)),x121042)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12107,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x121071),x121071))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12110,plain,
% 198.16/197.93 (P1(f326(f326(f328(x121101),f326(x121102,x121103)),f326(f309(x121104,x121101,x121102),f241(f939(x121104,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(12111,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x121111)),x121111))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12114,plain,
% 198.16/197.93 (P1(f326(f326(f328(x121141),f326(x121142,x121143)),f326(f309(x121144,x121141,x121142),f241(f939(x121144,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(12115,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x121151),x121152)),x121152))),
% 198.16/197.93 inference(rename_variables,[],[4810])).
% 198.16/197.93 cnf(12120,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x121201),x121202)),x121201))),
% 198.16/197.93 inference(rename_variables,[],[4811])).
% 198.16/197.93 cnf(12123,plain,
% 198.16/197.93 (~P1(f326(f326(f172(x121231),f113(x121231)),x121232))),
% 198.16/197.93 inference(rename_variables,[],[4794])).
% 198.16/197.93 cnf(12126,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x121261),x121261))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12134,plain,
% 198.16/197.93 (~P39(x121341,x121342,f113(x121341))),
% 198.16/197.93 inference(rename_variables,[],[4764])).
% 198.16/197.93 cnf(12137,plain,
% 198.16/197.93 (P1(f326(f326(f328(x121371),x121372),f241(f939(x121371,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(12138,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x121381)),x121381))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12151,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x121511),x121512),f188(f939(x121511,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12154,plain,
% 198.16/197.93 (E(f326(f326(f18(x121541,x121542),x121543),x121544),x121543)),
% 198.16/197.93 inference(rename_variables,[],[3567])).
% 198.16/197.93 cnf(12157,plain,
% 198.16/197.93 (E(f326(f326(f18(x121571,x121572),x121573),x121574),x121573)),
% 198.16/197.93 inference(rename_variables,[],[3567])).
% 198.16/197.93 cnf(12169,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),f2(a931)),f326(a112,x121691)))),
% 198.16/197.93 inference(rename_variables,[],[3656])).
% 198.16/197.93 cnf(12172,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x121721),x121721))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12175,plain,
% 198.16/197.93 (P1(f326(f61(x121751),f326(f172(x121751),x121752)))),
% 198.16/197.93 inference(rename_variables,[],[3616])).
% 198.16/197.93 cnf(12178,plain,
% 198.16/197.93 (P1(f326(f61(x121781),f326(f172(x121781),x121782)))),
% 198.16/197.93 inference(rename_variables,[],[3616])).
% 198.16/197.93 cnf(12181,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x121811))),f326(f100(a1),x121812)))),
% 198.16/197.93 inference(rename_variables,[],[4059])).
% 198.16/197.93 cnf(12184,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x121841),x121842),f188(f939(x121841,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12200,plain,
% 198.16/197.93 (~P1(f326(f326(f328(a931),x122001),f326(f281(a931),f2(a931))))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4763,4764,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,3497,4744,10798,10900,11369,3185,3186,3189,3192,3193,3196,3197,3200,3203,3204,3218,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,3514,4037,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,4030,12055,3560,3656,11883,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,4802,11926,11957,11992,11999,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,3577,10753,10809,11045,11136,11261,3578,3652,4785,10642,10674,11180,11225,11234,12083,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,3597,11060,11219,11289,4059,4399,4792,4106,4777,4780,3553,3557,4779,4778,3890,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418])).
% 198.16/197.93 cnf(12203,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x122031),x122031))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12206,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x122061),x122061))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12217,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x122171),x122171))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12220,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122201),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12225,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122251),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12234,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x122341))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(12235,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x122351)),x122351))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12238,plain,
% 198.16/197.93 (~P1(f326(f326(f172(x122381),f113(x122381)),x122382))),
% 198.16/197.93 inference(rename_variables,[],[4794])).
% 198.16/197.93 cnf(12241,plain,
% 198.16/197.93 (~P1(f326(f326(f172(x122411),f113(x122411)),x122412))),
% 198.16/197.93 inference(rename_variables,[],[4794])).
% 198.16/197.93 cnf(12259,plain,
% 198.16/197.93 (P1(f326(f326(f235(a1),f326(f78(a1),f77(a1))),f2(a1)))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4763,4764,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,3497,4744,10798,10900,11369,3185,3186,3189,3192,3193,3196,3197,3200,3203,3204,3212,3218,3227,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,3514,4037,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,4030,12055,3560,3656,11883,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,3577,10753,10809,11045,11136,11261,11902,12203,12206,3578,3652,4785,10642,10674,11180,11225,11234,12083,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,3597,11060,11219,11289,12087,4059,4399,4792,4106,4777,4780,3553,3557,4779,4778,3890,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721])).
% 198.16/197.93 cnf(12262,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x122621)),x122621))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12265,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x122651)),x122651))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12268,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x122681)),x122681))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12271,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x122711)),x122711))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12274,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122741),x122741))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12277,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122771),x122771))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12280,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122801),x122801))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12283,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x122831),x122831))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12299,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f326(f326(f3(a931),x122991),f326(a112,x122991))),f2(a931)))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4763,4764,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,3497,4744,10798,10900,11369,3185,3186,3189,3192,3193,3196,3197,3200,3203,3204,3212,3218,3227,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,3514,4037,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,4030,12055,3560,3656,11883,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,3577,10753,10809,11045,11136,11261,11902,12203,12206,3578,3652,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,3597,11060,11219,11289,12087,4059,4399,4792,4106,4777,4780,3553,3557,4779,4778,3890,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799])).
% 198.16/197.93 cnf(12300,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123001),x123001))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12303,plain,
% 198.16/197.93 (P27(a931,a931,a112,x123031)),
% 198.16/197.93 inference(rename_variables,[],[3781])).
% 198.16/197.93 cnf(12305,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123051),f326(f75(a1),x123051)))),
% 198.16/197.93 inference(scs_inference,[],[4803,3815,4763,4764,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,3781,3497,4744,10798,10900,11369,3185,3186,3189,3192,3193,3196,3197,3200,3203,3204,3212,3218,3227,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,3514,4037,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,4030,12055,3560,3656,11883,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4225,11211,4274,3943,4308,3960,10761,10858,11418,11499,11578,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,3578,3652,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,3597,11060,11219,11289,12087,4059,4399,4792,4106,4777,4780,3553,3557,4779,4778,3890,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,3874,11474,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820])).
% 198.16/197.93 cnf(12306,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123061),x123061))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12317,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123171),x123171))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12320,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(f938(f932(x123201),f932(x123201)),a927)),f158(x123201,x123202)),f306(f932(x123201),f157(x123201,x123202))))),
% 198.16/197.93 inference(rename_variables,[],[4279])).
% 198.16/197.93 cnf(12327,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x123271),f326(a112,x123271)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12330,plain,
% 198.16/197.93 (P1(f326(f326(f328(f939(x123301,a927)),x123302),f326(f307(x123301),x123302)))),
% 198.16/197.93 inference(rename_variables,[],[3943])).
% 198.16/197.93 cnf(12331,plain,
% 198.16/197.93 (~E(f326(a112,x123311),x123311)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12336,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123361),x123361))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12341,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123411),x123411))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12352,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x123521,a927)),x123522),f326(f326(f308(x123521),x123523),x123522)))),
% 198.16/197.93 inference(rename_variables,[],[4025])).
% 198.16/197.93 cnf(12355,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123551),x123551))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12356,plain,
% 198.16/197.93 (~E(f326(a112,x123561),x123561)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12361,plain,
% 198.16/197.93 (P1(f326(f326(f328(x123611),x123612),f241(f939(x123611,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(12372,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x123721),x123721))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12373,plain,
% 198.16/197.93 (~E(f326(a112,x123731),x123731)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12376,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123761),x123761))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12379,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123791),x123791))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12382,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123821),x123821))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12385,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x123851),x123851))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12388,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x123881),x123881))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12391,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x123911),x123911))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12394,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x123941),x123941))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12395,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x123951),f326(a112,x123951)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12402,plain,
% 198.16/197.93 (~E(f326(a112,x124021),x124021)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12407,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124071),x124071))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12408,plain,
% 198.16/197.93 (~E(f326(a112,x124081),x124081)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12411,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x124111),x124111))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12428,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x124281),x124281))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(12433,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x124331))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(12449,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124491),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12452,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124521),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12455,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x124551),x124552),f188(f939(x124551,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12458,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x124581),x124582),f188(f939(x124581,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12461,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124611),x124611))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12464,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124641),x124641))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12467,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124671),x124671))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12470,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x124701),x124701))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12473,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x124731),f326(a112,x124731)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12480,plain,
% 198.16/197.93 (P1(f326(f326(f328(f939(x124801,a927)),x124802),f326(f307(x124801),x124802)))),
% 198.16/197.93 inference(rename_variables,[],[3943])).
% 198.16/197.93 cnf(12485,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x124851,a927)),x124852),f326(f326(f308(x124851),x124853),x124852)))),
% 198.16/197.93 inference(rename_variables,[],[4025])).
% 198.16/197.93 cnf(12492,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x124921),x124922),f188(f939(x124921,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12501,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x125011,a927)),x125012),f241(f939(x125011,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12502,plain,
% 198.16/197.93 (~E(f326(a112,x125021),x125021)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12505,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x125051,a927)),f326(f172(x125051),f326(f136(x125051,x125052),x125053))),f326(f172(x125051),x125053)))),
% 198.16/197.93 inference(rename_variables,[],[4225])).
% 198.16/197.93 cnf(12511,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x125111),f326(a112,x125111)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12520,plain,
% 198.16/197.93 (P45(a25,x125201,x125202,x125201)),
% 198.16/197.93 inference(rename_variables,[],[3791])).
% 198.16/197.93 cnf(12523,plain,
% 198.16/197.93 (E(f326(f283(x125231,x125231),f262(x125231,x125232)),x125232)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12534,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x125341)),x125341))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(12535,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x125351),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12538,plain,
% 198.16/197.93 (P1(f326(f61(x125381),f188(f939(x125381,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(12539,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x125391),x125392),f188(f939(x125391,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12542,plain,
% 198.16/197.93 (P45(a25,x125421,x125422,x125421)),
% 198.16/197.93 inference(rename_variables,[],[3791])).
% 198.16/197.93 cnf(12551,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x125511,a927)),f326(f172(x125511),f176(x125511,x125512,x125513))),f326(f172(x125511),x125512)))),
% 198.16/197.93 inference(rename_variables,[],[4274])).
% 198.16/197.93 cnf(12554,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125541),x125541))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12557,plain,
% 198.16/197.93 (P27(x125571,x125571,f7(x125571),x125572)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12562,plain,
% 198.16/197.93 (P1(f326(f326(f328(f939(x125621,a927)),x125622),f326(f307(x125621),x125622)))),
% 198.16/197.93 inference(rename_variables,[],[3943])).
% 198.16/197.93 cnf(12567,plain,
% 198.16/197.93 (P1(f326(f326(f328(x125671),x125672),f326(f326(f308(x125671),x125672),x125673)))),
% 198.16/197.93 inference(rename_variables,[],[3890])).
% 198.16/197.93 cnf(12572,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125721),x125721))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12575,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x125751),x125752),f188(f939(x125751,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12578,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x125781,a927)),x125782),f326(f326(f308(x125781),x125783),x125782)))),
% 198.16/197.93 inference(rename_variables,[],[4025])).
% 198.16/197.93 cnf(12579,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x125791,a927)),x125792),f241(f939(x125791,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12586,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125861),x125861))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12589,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125891),x125891))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12592,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125921),x125921))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12595,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x125951),x125951))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12598,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x125981),f326(a112,x125981)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12601,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x126011),f326(a112,x126011)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12604,plain,
% 198.16/197.93 (P1(f326(f326(f286(a931),x126041),x126041))),
% 198.16/197.93 inference(rename_variables,[],[3578])).
% 198.16/197.93 cnf(12607,plain,
% 198.16/197.93 (P1(f326(f326(f286(a931),x126071),x126071))),
% 198.16/197.93 inference(rename_variables,[],[3578])).
% 198.16/197.93 cnf(12610,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x126101,a927)),x126102),x126102))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12612,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a1),f326(f326(f3(a1),a82),a97)),f2(a1)))),
% 198.16/197.93 inference(scs_inference,[],[4803,3791,12520,3815,11489,4763,4764,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,3781,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3218,3227,3230,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,3514,3523,4037,4344,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3633,11214,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,12178,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4279,4225,11211,4274,11421,3943,12003,12330,12480,4308,3960,10761,10858,11418,11499,11578,11645,12501,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,3597,11060,11219,11289,12087,12234,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,11356,12352,12485,3874,11474,11599,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925])).
% 198.16/197.93 cnf(12617,plain,
% 198.16/197.93 (P1(f326(f326(f328(f939(x126171,a927)),x126172),f326(f307(x126171),x126172)))),
% 198.16/197.93 inference(rename_variables,[],[3943])).
% 198.16/197.93 cnf(12626,plain,
% 198.16/197.93 (~E(f326(a112,x126261),x126261)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12627,plain,
% 198.16/197.93 (E(f326(f309(x126271,x126271,f7(x126271)),x126272),x126272)),
% 198.16/197.93 inference(rename_variables,[],[3633])).
% 198.16/197.93 cnf(12630,plain,
% 198.16/197.93 (P36(x126301,x126302,f113(x126301),f113(x126301))),
% 198.16/197.93 inference(rename_variables,[],[3824])).
% 198.16/197.93 cnf(12633,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x126331,a927)),f326(f172(x126331),f176(x126331,x126332,x126333))),f326(f172(x126331),x126332)))),
% 198.16/197.93 inference(rename_variables,[],[4274])).
% 198.16/197.93 cnf(12634,plain,
% 198.16/197.93 (P1(f326(f61(x126341),f326(f172(x126341),x126342)))),
% 198.16/197.93 inference(rename_variables,[],[3616])).
% 198.16/197.93 cnf(12645,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x126451),x126451))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12648,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x126481),x126481))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12653,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x126531))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(12660,plain,
% 198.16/197.93 (P15(a931,f326(f168(a931),f326(f326(f154(f932(x126601),a931),f189(f932(x126601))),f179(x126601,x126602))))),
% 198.16/197.93 inference(rename_variables,[],[4141])).
% 198.16/197.93 cnf(12663,plain,
% 198.16/197.93 (P27(x126631,x126631,f7(x126631),x126632)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12666,plain,
% 198.16/197.93 (P27(x126661,x126661,f7(x126661),x126662)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12669,plain,
% 198.16/197.93 (P1(f326(f326(f328(f932(x126691)),f113(x126691)),f161(x126691,x126692)))),
% 198.16/197.93 inference(rename_variables,[],[3773])).
% 198.16/197.93 cnf(12672,plain,
% 198.16/197.93 (~P1(f326(f326(f188(f939(x126721,f939(x126722,a927))),x126723),x126724))),
% 198.16/197.93 inference(rename_variables,[],[4813])).
% 198.16/197.93 cnf(12677,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x126771),x126771))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12678,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x126781))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(12680,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f2(a1)),f356(x126801,f188(f939(x126802,f939(x126803,a927))),f77(a1))))),
% 198.16/197.93 inference(scs_inference,[],[4803,3791,12520,3815,11489,12557,12663,3824,4763,4764,4762,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,3781,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3218,3227,3230,3236,3242,3243,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,3514,3523,4037,4344,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3456,3633,11214,11341,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,3942,4629,4630,4751,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,12178,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4279,4225,11211,4274,11421,12551,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,11356,12352,12485,3874,11474,11599,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,11581,12672,4454,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244])).
% 198.16/197.93 cnf(12681,plain,
% 198.16/197.93 (~P1(f326(f326(f188(f939(x126811,f939(x126812,a927))),x126813),x126814))),
% 198.16/197.93 inference(rename_variables,[],[4813])).
% 198.16/197.93 cnf(12684,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(f938(f932(x126841),f932(x126841)),a927)),f158(x126841,x126842)),f306(f932(x126841),f157(x126841,x126842))))),
% 198.16/197.93 inference(rename_variables,[],[4279])).
% 198.16/197.93 cnf(12690,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x126901,a927)),f326(f309(x126902,x126901,x126903),f326(f310(x126902,x126901,x126903),x126904))),x126904))),
% 198.16/197.93 inference(rename_variables,[],[4454])).
% 198.16/197.93 cnf(12693,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x126931,a927)),f326(f172(x126931),f176(x126931,x126932,x126933))),f326(f172(x126931),x126932)))),
% 198.16/197.93 inference(rename_variables,[],[4274])).
% 198.16/197.93 cnf(12694,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x126941,a927)),f326(f172(x126941),f326(f136(x126941,x126942),x126943))),f326(f172(x126941),x126943)))),
% 198.16/197.93 inference(rename_variables,[],[4225])).
% 198.16/197.93 cnf(12697,plain,
% 198.16/197.93 (~P1(f326(f326(f235(f939(x126971,a927)),x126972),f188(f939(x126971,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4807])).
% 198.16/197.93 cnf(12705,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x127051,a927)),f326(f309(x127052,x127051,x127053),f326(f310(x127052,x127051,x127053),x127054))),x127054))),
% 198.16/197.93 inference(rename_variables,[],[4454])).
% 198.16/197.93 cnf(12710,plain,
% 198.16/197.93 (P1(f326(f326(f328(f932(x127101)),f113(x127101)),f161(x127101,x127102)))),
% 198.16/197.93 inference(rename_variables,[],[3773])).
% 198.16/197.93 cnf(12713,plain,
% 198.16/197.93 (~P1(f326(f326(f328(f938(f932(x127131),f932(x127131))),f326(f326(f251(f932(x127131),f932(x127131)),x127132),f113(x127131))),f145(x127131,x127133)))),
% 198.16/197.93 inference(rename_variables,[],[4815])).
% 198.16/197.93 cnf(12716,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x127161),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12718,plain,
% 198.16/197.93 (~P1(f326(f61(x127181),f241(f939(x127181,a927))))),
% 198.16/197.93 inference(scs_inference,[],[4803,3791,12520,3815,11489,12557,12663,3824,3833,3547,4763,4764,3446,3449,4762,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,3781,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,3514,3523,4037,4344,3413,3775,4131,11824,3474,3409,3436,3432,3420,3421,4049,3456,3633,11214,11341,3507,4214,4753,10625,10795,3567,12154,4796,11395,11494,11733,11736,3680,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,4815,11316,11559,11671,11697,11741,11747,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,3942,4629,4630,4751,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,12178,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4279,12320,12684,4225,11211,12505,4274,11421,12551,12633,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,4182,11767,12110,4025,11332,11338,11356,12352,12485,3874,11474,11599,12610,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,11581,12672,4454,11202,12690,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228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% 198.16/197.93 cnf(12719,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x127191,a927)),x127192),x127192))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12722,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x127221),x127222),f188(f939(x127221,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12725,plain,
% 198.16/197.93 (~P1(f326(f326(f188(f939(x127251,f939(x127252,a927))),x127253),x127254))),
% 198.16/197.93 inference(rename_variables,[],[4813])).
% 198.16/197.93 cnf(12728,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x127281,a927)),f326(f309(x127282,x127281,x127283),f326(f310(x127282,x127281,x127283),x127284))),x127284))),
% 198.16/197.93 inference(rename_variables,[],[4454])).
% 198.16/197.93 cnf(12729,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x127291,a927)),x127292),x127292))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12734,plain,
% 198.16/197.93 (E(f326(f283(x127341,x127341),f262(x127341,x127342)),x127342)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12737,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x127371,a927)),f326(f172(x127371),f176(x127371,x127372,x127373))),f326(f172(x127371),x127372)))),
% 198.16/197.93 inference(rename_variables,[],[4274])).
% 198.16/197.93 cnf(12738,plain,
% 198.16/197.93 (P1(f326(f61(x127381),f326(f172(x127381),x127382)))),
% 198.16/197.93 inference(rename_variables,[],[3616])).
% 198.16/197.93 cnf(12741,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x127411),x127411))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12744,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x127441),x127441))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12747,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x127471),x127471))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12758,plain,
% 198.16/197.93 (P27(x127581,x127581,f7(x127581),x127582)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12766,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x127661),x127662),f188(f939(x127661,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12769,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(x127691,x127691)),f326(f326(f251(x127691,x127691),x127692),x127692)),f306(x127691,x127693)))),
% 198.16/197.93 inference(rename_variables,[],[4216])).
% 198.16/197.93 cnf(12772,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x127721),x127722),f188(f939(x127721,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12775,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(x127751,x127751)),f326(f326(f251(x127751,x127751),x127752),x127752)),f306(x127751,x127753)))),
% 198.16/197.93 inference(rename_variables,[],[4216])).
% 198.16/197.93 cnf(12785,plain,
% 198.16/197.93 (~E(f326(f326(f151(x127851),x127852),x127853),x127853)),
% 198.16/197.93 inference(rename_variables,[],[4753])).
% 198.16/197.93 cnf(12787,plain,
% 198.16/197.93 (~P28(a931,a931,x127871,f241(f939(a931,a927)),f302(a931,x127872,x127873))),
% 198.16/197.93 inference(scs_inference,[],[4803,3791,12520,3815,11489,12557,12663,12666,3824,3833,3547,4763,4764,3446,3449,4762,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,3514,3523,4037,4344,3413,3775,4131,11824,3474,3409,3436,3895,3432,3420,3421,4049,3456,3633,11214,11341,3507,4214,4753,10625,10795,11677,3567,12154,4796,11395,11494,11733,11736,3680,4774,3471,10698,11030,3472,3734,3390,3493,11814,4358,4216,11415,11546,11608,12769,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,3942,3722,4629,4630,4751,11807,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3766,4804,4351,11694,3900,3616,12175,12178,12634,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,4320,4279,12320,12684,4225,11211,12505,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,4025,11332,11338,11356,12352,12485,3874,11474,11599,12610,12719,4027,11063,11437,11605,11639,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,11581,12672,12681,4454,11202,12690,12705,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944])).
% 198.16/197.93 cnf(12792,plain,
% 198.16/197.93 (P1(f326(f326(f328(x127921),x127922),f241(f939(x127921,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(12793,plain,
% 198.16/197.93 (~E(f326(a112,x127931),x127931)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12796,plain,
% 198.16/197.93 (P1(f326(f326(f328(f932(x127961)),f113(x127961)),f161(x127961,x127962)))),
% 198.16/197.93 inference(rename_variables,[],[3773])).
% 198.16/197.93 cnf(12797,plain,
% 198.16/197.93 (~E(f326(f326(f151(x127971),x127972),x127973),f113(x127971))),
% 198.16/197.93 inference(rename_variables,[],[4760])).
% 198.16/197.93 cnf(12800,plain,
% 198.16/197.93 (P27(x128001,x128001,f7(x128001),x128002)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12803,plain,
% 198.16/197.93 (P1(f326(f326(f328(x128031),f326(x128032,x128033)),f326(f309(x128034,x128031,x128032),f241(f939(x128034,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(12804,plain,
% 198.16/197.93 (P27(x128041,x128041,f7(x128041),x128042)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12807,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128071,a927)),f188(f939(x128071,a927))),x128072))),
% 198.16/197.93 inference(rename_variables,[],[4027])).
% 198.16/197.93 cnf(12808,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128081,a927)),x128082),x128082))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12811,plain,
% 198.16/197.93 (P1(f326(f326(f328(x128111),f326(x128112,x128113)),f326(f309(x128114,x128111,x128112),f241(f939(x128114,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(12812,plain,
% 198.16/197.93 (P27(x128121,x128121,f7(x128121),x128122)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12815,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(f932(x128151),f932(x128151))),f326(f326(f251(f932(x128151),f932(x128151)),f113(x128151)),f113(x128151))),f158(x128151,x128152)))),
% 198.16/197.93 inference(rename_variables,[],[4358])).
% 198.16/197.93 cnf(12819,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x128191),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(12825,plain,
% 198.16/197.93 (E(f326(f326(f134(x128251),x128252),f113(x128251)),x128252)),
% 198.16/197.93 inference(rename_variables,[],[3508])).
% 198.16/197.93 cnf(12826,plain,
% 198.16/197.93 (~E(f326(f326(f151(x128261),x128262),x128263),x128263)),
% 198.16/197.93 inference(rename_variables,[],[4753])).
% 198.16/197.93 cnf(12829,plain,
% 198.16/197.93 (E(f326(f326(f134(x128291),x128292),f113(x128291)),x128292)),
% 198.16/197.93 inference(rename_variables,[],[3508])).
% 198.16/197.93 cnf(12830,plain,
% 198.16/197.93 (~E(f326(f326(f151(x128301),x128302),x128303),x128303)),
% 198.16/197.93 inference(rename_variables,[],[4753])).
% 198.16/197.93 cnf(12833,plain,
% 198.16/197.93 (E(f326(f326(f134(x128331),x128332),f113(x128331)),x128332)),
% 198.16/197.93 inference(rename_variables,[],[3508])).
% 198.16/197.93 cnf(12840,plain,
% 198.16/197.93 (P56(x128401,f262(x128401,x128402))),
% 198.16/197.93 inference(rename_variables,[],[3450])).
% 198.16/197.93 cnf(12843,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128431,a927)),f326(f172(x128431),f326(f136(x128431,x128432),x128433))),f326(f172(x128431),x128433)))),
% 198.16/197.93 inference(rename_variables,[],[4225])).
% 198.16/197.93 cnf(12844,plain,
% 198.16/197.93 (E(f326(f309(x128441,x128441,f7(x128441)),x128442),x128442)),
% 198.16/197.93 inference(rename_variables,[],[3633])).
% 198.16/197.93 cnf(12849,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128491,a927)),x128492),f241(f939(x128491,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12853,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x128531),x128531))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12854,plain,
% 198.16/197.93 (~E(f326(a112,x128541),x128541)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(12857,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128571,a927)),f188(f939(x128571,a927))),x128572))),
% 198.16/197.93 inference(rename_variables,[],[4027])).
% 198.16/197.93 cnf(12860,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x128601),x128601))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12863,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128631,a927)),x128632),x128632))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12868,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128681,a927)),x128682),f326(f326(f308(x128681),x128683),x128682)))),
% 198.16/197.93 inference(rename_variables,[],[4025])).
% 198.16/197.93 cnf(12871,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x128711,a927)),x128712),x128712))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12872,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x128721),x128722),f188(f939(x128721,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12875,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x128751),x128752),f188(f939(x128751,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12883,plain,
% 198.16/197.93 (~P1(f326(f326(f234(f939(f938(x128831,x128831),a927)),f326(f309(f938(x128831,x128831),f938(x128831,x128831),f7(f938(x128831,x128831))),f241(f939(f938(x128831,x128831),a927)))),f326(f309(f938(x128831,x128831),f938(x128831,x128831),f7(f938(x128831,x128831))),f188(f939(f938(x128831,x128831),a927)))))),
% 198.16/197.93 inference(scs_inference,[],[4803,3791,12520,3815,11489,12557,12663,12666,12758,12800,12804,12812,3824,3833,3547,4763,4764,3446,3449,3450,4762,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,3632,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,3371,4732,4145,12069,3423,11778,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,3508,12825,12829,3514,3523,4037,4344,3413,3775,4131,11824,3474,3409,3436,3895,3432,3420,3421,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,4760,12797,3567,12154,4796,11395,11494,11733,11736,3680,4774,3471,10698,11030,3472,3734,3390,3493,11814,4358,12815,4216,11415,11546,11608,12769,12775,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,4751,11807,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3968,3766,4804,4351,11694,3900,3616,12175,12178,12634,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,3637,11027,11057,11066,11069,11072,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,11581,12672,12681,4454,11202,12690,12705,4362,4058,4003,4810,10647,10650,11021,11024,11923,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497])).
% 198.16/197.93 cnf(12884,plain,
% 198.16/197.93 (P27(x128841,x128841,f7(x128841),x128842)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(12887,plain,
% 198.16/197.93 (E(f326(f189(f932(x128871)),f169(x128871,x128872,x128873)),x128872)),
% 198.16/197.93 inference(rename_variables,[],[3643])).
% 198.16/197.93 cnf(12890,plain,
% 198.16/197.93 (P28(x128901,x128901,f31(x128901),x128902,x128902)),
% 198.16/197.93 inference(rename_variables,[],[4240])).
% 198.16/197.93 cnf(12893,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x128931),x128931))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12894,plain,
% 198.16/197.93 (P1(f326(f241(f939(x128941,a927)),x128942))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(12897,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x128971),x128972),f188(f939(x128971,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12900,plain,
% 198.16/197.93 (P1(f326(f326(f328(x129001),f326(x129002,x129003)),f326(f309(x129004,x129001,x129002),f241(f939(x129004,a927)))))),
% 198.16/197.93 inference(rename_variables,[],[4182])).
% 198.16/197.93 cnf(12901,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(x129011,x129011)),f326(f326(f251(x129011,x129011),x129012),x129012)),f306(x129011,x129013)))),
% 198.16/197.93 inference(rename_variables,[],[4216])).
% 198.16/197.93 cnf(12904,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(x129041,x129041)),f326(f326(f251(x129041,x129041),x129042),x129042)),f306(x129041,x129043)))),
% 198.16/197.93 inference(rename_variables,[],[4216])).
% 198.16/197.93 cnf(12907,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x129071),x129071))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(12908,plain,
% 198.16/197.93 (P1(f326(f241(f939(x129081,a927)),x129082))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(12911,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x129111,a927)),x129112),f241(f939(x129111,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12912,plain,
% 198.16/197.93 (P28(x129121,x129121,f31(x129121),x129122,x129122)),
% 198.16/197.93 inference(rename_variables,[],[4240])).
% 198.16/197.93 cnf(12915,plain,
% 198.16/197.93 (P1(f326(f61(x129151),f326(f172(x129151),x129152)))),
% 198.16/197.93 inference(rename_variables,[],[3616])).
% 198.16/197.93 cnf(12925,plain,
% 198.16/197.93 (~P1(f326(f326(f188(f939(x129251,f939(x129252,a927))),x129253),x129254))),
% 198.16/197.93 inference(rename_variables,[],[4813])).
% 198.16/197.93 cnf(12928,plain,
% 198.16/197.93 (~P1(f326(f326(f188(f939(x129281,f939(x129282,a927))),x129283),x129284))),
% 198.16/197.93 inference(rename_variables,[],[4813])).
% 198.16/197.93 cnf(12931,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x129311,a927)),x129312),f241(f939(x129311,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12934,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(x129341,x129341)),f326(f326(f251(x129341,x129341),x129342),x129342)),f306(x129341,x129343)))),
% 198.16/197.93 inference(rename_variables,[],[4216])).
% 198.16/197.93 cnf(12937,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),f326(f326(f79(a931),x129371),x129372)),x129372))),
% 198.16/197.93 inference(rename_variables,[],[4810])).
% 198.16/197.93 cnf(12938,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x129381),f326(a112,x129381)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(12941,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x129411,a927)),x129412),f241(f939(x129411,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(12944,plain,
% 198.16/197.93 (E(f326(f283(x129441,x129441),f262(x129441,x129442)),x129442)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(12955,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x129551),x129552),f188(f939(x129551,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12956,plain,
% 198.16/197.93 (P1(f326(f326(f328(f938(f932(x129561),f932(x129561))),f326(f326(f251(f932(x129561),f932(x129561)),f113(x129561)),f113(x129561))),f158(x129561,x129562)))),
% 198.16/197.93 inference(rename_variables,[],[4358])).
% 198.16/197.93 cnf(12961,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x129611),x129612),f188(f939(x129611,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12966,plain,
% 198.16/197.93 (P35(x129661,x129662,f113(x129661))),
% 198.16/197.93 inference(rename_variables,[],[3513])).
% 198.16/197.93 cnf(12969,plain,
% 198.16/197.93 (E(f326(f189(f932(x129691)),f169(x129691,x129692,x129693)),x129692)),
% 198.16/197.93 inference(rename_variables,[],[3643])).
% 198.16/197.93 cnf(12972,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x129721),x129722),f188(f939(x129721,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12978,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x129781),x129781))),
% 198.16/197.93 inference(rename_variables,[],[4785])).
% 198.16/197.93 cnf(12981,plain,
% 198.16/197.93 (P1(f326(f326(f328(x129811),x129812),f241(f939(x129811,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(12989,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x129891,a927)),x129892),x129892))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(12992,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x129921),x129922),f188(f939(x129921,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(12995,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f2(a1)),f326(f326(f243(a1),f326(f75(a1),x129951)),x129952)))),
% 198.16/197.93 inference(rename_variables,[],[4058])).
% 198.16/197.93 cnf(12998,plain,
% 198.16/197.93 (~E(f326(a112,x129981),x129981)),
% 198.16/197.93 inference(rename_variables,[],[4734])).
% 198.16/197.93 cnf(13000,plain,
% 198.16/197.93 (E(f326(f283(x130001,x130001),f262(x130001,x130002)),x130002)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13004,plain,
% 198.16/197.93 (E(f326(f283(x130041,x130041),f262(x130041,x130042)),x130042)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13006,plain,
% 198.16/197.93 (P45(a25,x130061,x130062,x130061)),
% 198.16/197.93 inference(rename_variables,[],[3791])).
% 198.16/197.93 cnf(13008,plain,
% 198.16/197.93 (P45(a25,x130081,x130082,x130081)),
% 198.16/197.93 inference(rename_variables,[],[3791])).
% 198.16/197.93 cnf(13014,plain,
% 198.16/197.93 (P27(x130141,x130141,f7(x130141),x130142)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(13016,plain,
% 198.16/197.93 (P27(x130161,x130161,f7(x130161),x130162)),
% 198.16/197.93 inference(rename_variables,[],[3815])).
% 198.16/197.93 cnf(13019,plain,
% 198.16/197.93 (E(f326(f326(x130191,x130192),f326(f184(x130193,x130194,x130191),x130192)),f326(f184(x130193,x130194,x130191),f326(a112,x130192)))),
% 198.16/197.93 inference(rename_variables,[],[3977])).
% 198.16/197.93 cnf(13026,plain,
% 198.16/197.93 (E(f326(f283(x130261,x130261),f262(x130261,x130262)),x130262)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13028,plain,
% 198.16/197.93 (E(f326(f283(x130281,x130281),f262(x130281,x130282)),x130282)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13030,plain,
% 198.16/197.93 (P42(x130301,f262(x130301,x130302))),
% 198.16/197.93 inference(rename_variables,[],[3447])).
% 198.16/197.93 cnf(13034,plain,
% 198.16/197.93 (E(f326(f283(x130341,x130341),f262(x130341,x130342)),x130342)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13036,plain,
% 198.16/197.93 (E(f326(f283(x130361,x130361),f262(x130361,x130362)),x130362)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13041,plain,
% 198.16/197.93 (E(f326(f283(x130411,x130411),f262(x130411,x130412)),x130412)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13043,plain,
% 198.16/197.93 (P57(x130431,x130432,f262(x130431,x130432))),
% 198.16/197.93 inference(rename_variables,[],[3546])).
% 198.16/197.93 cnf(13045,plain,
% 198.16/197.93 (P57(x130451,x130452,f262(x130451,x130452))),
% 198.16/197.93 inference(rename_variables,[],[3546])).
% 198.16/197.93 cnf(13047,plain,
% 198.16/197.93 (P57(x130471,x130472,f262(x130471,x130472))),
% 198.16/197.93 inference(rename_variables,[],[3546])).
% 198.16/197.93 cnf(13049,plain,
% 198.16/197.93 (P41(x130491,f153(x130491,x130492))),
% 198.16/197.93 inference(rename_variables,[],[3446])).
% 198.16/197.93 cnf(13053,plain,
% 198.16/197.93 (P16(x130531,f939(x130531,a927),f308(x130531))),
% 198.16/197.93 inference(rename_variables,[],[3550])).
% 198.16/197.93 cnf(13061,plain,
% 198.16/197.93 (P56(x130611,f262(x130611,x130612))),
% 198.16/197.93 inference(rename_variables,[],[3450])).
% 198.16/197.93 cnf(13066,plain,
% 198.16/197.93 (P28(x130661,x130661,f31(x130661),x130662,x130662)),
% 198.16/197.93 inference(rename_variables,[],[4240])).
% 198.16/197.93 cnf(13068,plain,
% 198.16/197.93 (P28(x130681,x130681,f31(x130681),x130682,x130682)),
% 198.16/197.93 inference(rename_variables,[],[4240])).
% 198.16/197.93 cnf(13070,plain,
% 198.16/197.93 (P28(x130701,x130701,f31(x130701),x130702,x130702)),
% 198.16/197.93 inference(rename_variables,[],[4240])).
% 198.16/197.93 cnf(13074,plain,
% 198.16/197.93 (P59(x130741,x130741,f262(x130741,x130742))),
% 198.16/197.93 inference(rename_variables,[],[3547])).
% 198.16/197.93 cnf(13080,plain,
% 198.16/197.93 (E(f326(f283(x130801,x130801),f262(x130801,x130802)),x130802)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13086,plain,
% 198.16/197.93 (P26(x130861,x130862,f188(f939(f930(x130861),a927)))),
% 198.16/197.93 inference(rename_variables,[],[3631])).
% 198.16/197.93 cnf(13097,plain,
% 198.16/197.93 (E(f188(f939(f938(x130971,x130971),a927)),f262(x130971,f188(f939(x130971,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3647])).
% 198.16/197.93 cnf(13099,plain,
% 198.16/197.93 (E(f326(f283(x130991,x130991),f262(x130991,x130992)),x130992)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13104,plain,
% 198.16/197.93 (P60(x131041,f188(f939(x131041,a927)),x131042)),
% 198.16/197.93 inference(rename_variables,[],[3595])).
% 198.16/197.93 cnf(13108,plain,
% 198.16/197.93 (P47(x131081,x131082,x131083,x131084,f188(f939(x131081,a927)),x131084)),
% 198.16/197.93 inference(rename_variables,[],[4515])).
% 198.16/197.93 cnf(13123,plain,
% 198.16/197.93 (P36(x131231,x131232,f113(x131231),f113(x131231))),
% 198.16/197.93 inference(rename_variables,[],[3824])).
% 198.16/197.93 cnf(13125,plain,
% 198.16/197.93 (P36(x131251,x131252,f113(x131251),f113(x131251))),
% 198.16/197.93 inference(rename_variables,[],[3824])).
% 198.16/197.93 cnf(13131,plain,
% 198.16/197.93 (E(f188(f939(f938(x131311,x131311),a927)),f262(x131311,f188(f939(x131311,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3647])).
% 198.16/197.93 cnf(13140,plain,
% 198.16/197.93 (E(f326(f283(x131401,x131401),f262(x131401,x131402)),x131402)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13152,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x131521),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13154,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),a82),f2(a1)))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3213,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3355,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,3508,12825,12829,12833,3514,3523,4037,4344,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,4802,11926,11957,11992,11999,12035,4017,3782,4164,3603,3605,3579,4786,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,3637,11027,11057,11066,11069,11072,11663,12894,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,4399,4792,4070,4106,4777,4780,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,4812,12052,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,4003,4810,10647,10650,11021,11024,11923,12115,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722])).
% 198.16/197.93 cnf(13161,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x131611)),f326(f78(a1),f326(f100(a1),x131612))))),
% 198.16/197.93 inference(rename_variables,[],[4808])).
% 198.16/197.93 cnf(13171,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x131711),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13174,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x131741),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13177,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x131771,x131772)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13180,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x131801,x131802)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13183,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x131831,x131832)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13186,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x131861,x131862)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13193,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f326(f78(a1),f326(f100(a1),x131931))),f326(f100(a1),x131932)))),
% 198.16/197.93 inference(rename_variables,[],[4059])).
% 198.16/197.93 cnf(13195,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f2(a1)),f326(f103(a1),f2(a1))))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3213,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3345,3355,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,3508,12825,12829,12833,3514,3523,4037,4344,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,4802,11926,11957,11992,11999,12035,4017,3782,3784,13177,13180,13183,4164,3603,3605,3579,4786,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,3637,11027,11057,11066,11069,11072,11663,12894,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,12181,4399,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,4003,4004,4810,10647,10650,11021,11024,11923,12115,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276])).
% 198.16/197.93 cnf(13198,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x131981),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13199,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x131991),x131991))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13206,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x132061),f326(a112,x132061)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(13208,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),f2(a1)),a82))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3213,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3345,3355,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,3508,12825,12829,12833,3514,3523,4037,4344,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,4802,11926,11957,11992,11999,12035,4017,3782,3784,13177,13180,13183,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,3637,11027,11057,11066,11069,11072,11663,12894,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,12181,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,4003,4004,4810,10647,10650,11021,11024,11923,12115,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385])).
% 198.16/197.93 cnf(13210,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f2(a1)),f326(f103(a1),f2(a1))))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,3185,3186,3188,3189,3192,3193,3195,3196,3197,3200,3203,3204,3212,3213,3217,3218,3227,3230,3236,3242,3243,3250,3259,3261,3262,3270,3271,3278,3313,3318,3319,3323,3324,3326,3334,3335,3345,3355,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,3508,12825,12829,12833,3514,3523,4037,4344,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,4141,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,4802,11926,11957,11992,11999,12035,4017,3782,3784,13177,13180,13183,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,3578,12604,3652,12538,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,3637,11027,11057,11066,11069,11072,11663,12894,3676,3669,4098,4035,10677,12058,12086,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,4059,12181,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,4003,4004,4810,10647,10650,11021,11024,11923,12115,4811,12032,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530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% 198.16/197.93 cnf(13213,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x132131),x132131))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13216,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x132161,x132162)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13219,plain,
% 198.16/197.93 (P1(f326(f61(a931),f304(a931,x132191,x132192)))),
% 198.16/197.93 inference(rename_variables,[],[3784])).
% 198.16/197.93 cnf(13222,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x132221),x132221))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13223,plain,
% 198.16/197.93 (~E(f326(a112,x132231),f2(a931))),
% 198.16/197.93 inference(rename_variables,[],[4744])).
% 198.16/197.93 cnf(13240,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f45(a931,x132401,x132402)),x132401))),
% 198.16/197.93 inference(rename_variables,[],[4035])).
% 198.16/197.93 cnf(13245,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x132451),f326(a112,x132451)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(13248,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x132481),f326(a112,x132481)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(13249,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x132491),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13258,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x132581)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(13259,plain,
% 198.16/197.93 (P1(f326(f241(f939(x132591,a927)),x132592))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(13262,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a1),f326(f100(a1),x132621)),f2(a1)))),
% 198.16/197.93 inference(rename_variables,[],[4802])).
% 198.16/197.93 cnf(13263,plain,
% 198.16/197.93 (P1(f326(f241(f939(x132631,a927)),x132632))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(13266,plain,
% 198.16/197.93 (P1(f326(f241(f939(x132661,a927)),x132662))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(13269,plain,
% 198.16/197.93 (P1(f326(f241(f939(x132691,a927)),x132692))),
% 198.16/197.93 inference(rename_variables,[],[3637])).
% 198.16/197.93 cnf(13277,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x132771),x132772),f188(f939(x132771,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(13278,plain,
% 198.16/197.93 (P1(f326(f61(x132781),f188(f939(x132781,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13281,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x132811),x132811))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13290,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),f2(a931)),x132901))),
% 198.16/197.93 inference(rename_variables,[],[3597])).
% 198.16/197.93 cnf(13293,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x132931),x132932),f188(f939(x132931,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(13296,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x132961),x132962),f188(f939(x132961,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(13299,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x132991),x132991))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13307,plain,
% 198.16/197.93 (P1(f326(f326(f235(a931),x133071),f326(a112,x133071)))),
% 198.16/197.93 inference(rename_variables,[],[3644])).
% 198.16/197.93 cnf(13310,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133101),x133101))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13315,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133151),x133151))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13318,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133181),x133181))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13321,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133211),x133211))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13324,plain,
% 198.16/197.93 (E(f326(f326(f3(f939(x133241,a927)),f188(f939(x133241,a927))),x133242),f188(f939(x133241,a927)))),
% 198.16/197.93 inference(rename_variables,[],[3845])).
% 198.16/197.93 cnf(13325,plain,
% 198.16/197.93 (P1(f326(f61(x133251),f188(f939(x133251,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13328,plain,
% 198.16/197.93 (E(f326(f326(f3(f939(x133281,a927)),f188(f939(x133281,a927))),x133282),f188(f939(x133281,a927)))),
% 198.16/197.93 inference(rename_variables,[],[3845])).
% 198.16/197.93 cnf(13329,plain,
% 198.16/197.93 (P1(f326(f61(x133291),f188(f939(x133291,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13332,plain,
% 198.16/197.93 (E(f326(f326(f3(f939(x133321,a927)),f188(f939(x133321,a927))),x133322),f188(f939(x133321,a927)))),
% 198.16/197.93 inference(rename_variables,[],[3845])).
% 198.16/197.93 cnf(13333,plain,
% 198.16/197.93 (P1(f326(f61(x133331),f188(f939(x133331,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13336,plain,
% 198.16/197.93 (E(f326(f326(f3(f939(x133361,a927)),f188(f939(x133361,a927))),x133362),f188(f939(x133361,a927)))),
% 198.16/197.93 inference(rename_variables,[],[3845])).
% 198.16/197.93 cnf(13337,plain,
% 198.16/197.93 (P1(f326(f61(x133371),f188(f939(x133371,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13341,plain,
% 198.16/197.93 (E(f326(f283(x133411,x133411),f262(x133411,x133412)),x133412)),
% 198.16/197.93 inference(rename_variables,[],[3537])).
% 198.16/197.93 cnf(13346,plain,
% 198.16/197.93 (E(f326(f326(f3(f939(x133461,a927)),f188(f939(x133461,a927))),x133462),f188(f939(x133461,a927)))),
% 198.16/197.93 inference(rename_variables,[],[3845])).
% 198.16/197.93 cnf(13347,plain,
% 198.16/197.93 (P1(f326(f61(x133471),f188(f939(x133471,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13351,plain,
% 198.16/197.93 (P1(f326(f61(x133511),f188(f939(x133511,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3652])).
% 198.16/197.93 cnf(13354,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133541),x133541))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13358,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x133581),x133581))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13367,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133671),x133671))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13378,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x133781),x133781))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13381,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x133811),x133811))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13389,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x133891),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13395,plain,
% 198.16/197.93 (~P1(f326(f326(f328(x133951),x133952),f188(f939(x133951,a927))))),
% 198.16/197.93 inference(rename_variables,[],[4798])).
% 198.16/197.93 cnf(13406,plain,
% 198.16/197.93 (P1(f326(f326(f328(x134061),x134062),f241(f939(x134061,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3729])).
% 198.16/197.93 cnf(13407,plain,
% 198.16/197.93 (E(f326(f192(x134071,x134072),x134073),f121(x134071,x134072))),
% 198.16/197.93 inference(rename_variables,[],[3491])).
% 198.16/197.93 cnf(13413,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x134131,a927)),x134132),f241(f939(x134131,a927))))),
% 198.16/197.93 inference(rename_variables,[],[3960])).
% 198.16/197.93 cnf(13416,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x134161,a927)),x134162),x134162))),
% 198.16/197.93 inference(rename_variables,[],[3874])).
% 198.16/197.93 cnf(13422,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x134221),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13423,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x134231),x134231))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13427,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x134271),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13428,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x134281),x134281))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13433,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x134331),x134331))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13434,plain,
% 198.16/197.93 (P1(f326(f61(a931),f302(a931,x134341,x134342)))),
% 198.16/197.93 inference(rename_variables,[],[3782])).
% 198.16/197.93 cnf(13441,plain,
% 198.16/197.93 (E(f326(f326(f18(x134411,x134412),x134413),x134414),x134413)),
% 198.16/197.93 inference(rename_variables,[],[3567])).
% 198.16/197.93 cnf(13444,plain,
% 198.16/197.93 (P1(f326(f326(f234(f939(x134441,a927)),f326(f172(x134441),f176(x134441,x134442,x134443))),f326(f172(x134441),x134442)))),
% 198.16/197.93 inference(rename_variables,[],[4274])).
% 198.16/197.93 cnf(13451,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x134511),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13452,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x134521),x134521))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13456,plain,
% 198.16/197.93 (~P1(f326(f326(f235(a931),x134561),f2(a931)))),
% 198.16/197.93 inference(rename_variables,[],[4789])).
% 198.16/197.93 cnf(13457,plain,
% 198.16/197.93 (P1(f326(f326(f234(a1),x134571),x134571))),
% 198.16/197.93 inference(rename_variables,[],[3577])).
% 198.16/197.93 cnf(13461,plain,
% 198.16/197.93 (~P1(f326(f326(f234(f939(a931,a927)),f302(a931,f326(a112,x134611),f326(a112,x134611))),f302(a931,x134612,x134611)))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3289,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,12678,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787])).
% 198.16/197.93 cnf(13462,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x134621),x134621))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13464,plain,
% 198.16/197.93 (~P1(f326(f326(f235(f939(a931,a927)),f302(a931,f326(a112,x134641),f326(a112,x134641))),f302(a931,x134642,x134641)))),
% 198.16/197.93 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3289,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,3597,11060,11219,11289,12087,12234,12433,12653,12678,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787,8788])).
% 198.16/197.93 cnf(13465,plain,
% 198.16/197.93 (P1(f326(f326(f234(a931),x134651),x134651))),
% 198.16/197.93 inference(rename_variables,[],[3576])).
% 198.16/197.93 cnf(13468,plain,
% 198.16/197.93 (~P1(f326(f326(f234(a931),f326(a112,x134681)),x134681))),
% 198.16/197.93 inference(rename_variables,[],[4795])).
% 198.16/197.93 cnf(13473,plain,
% 198.16/197.93 (E(x134731,f522(f326(f7(x134732),f326(f7(x134732),x134731)),f7(x134732),x134732,x134732))),
% 198.16/197.94 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,13016,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3289,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3412,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,4172,4796,11395,11494,11733,11736,3977,13019,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,4807,11159,11570,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,13465,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,13468,3597,11060,11219,11289,12087,12234,12433,12653,12678,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,12900,4025,11332,11338,11356,12352,12485,12578,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,4356,4027,11063,11437,11605,11639,11650,12807,3730,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787,8788,8789,8790,8940])).
% 198.16/197.94 cnf(13474,plain,
% 198.16/197.94 (P1(f326(f326(f328(x134741),f326(x134742,x134743)),f326(f309(x134744,x134741,x134742),f241(f939(x134744,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[4182])).
% 198.16/197.94 cnf(13475,plain,
% 198.16/197.94 (P27(x134751,x134751,f7(x134751),x134752)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13479,plain,
% 198.16/197.94 (P1(f326(f326(f328(x134791),x134792),f241(f939(x134791,a927))))),
% 198.16/197.94 inference(rename_variables,[],[3729])).
% 198.16/197.94 cnf(13480,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x134801),x134802),f188(f939(x134801,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13484,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x134841,a927)),x134842),f241(f939(x134841,a927))))),
% 198.16/197.94 inference(rename_variables,[],[3960])).
% 198.16/197.94 cnf(13485,plain,
% 198.16/197.94 (P27(x134851,x134851,f7(x134851),x134852)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13489,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x134891,a927)),x134892),f241(f939(x134891,a927))))),
% 198.16/197.94 inference(rename_variables,[],[3960])).
% 198.16/197.94 cnf(13490,plain,
% 198.16/197.94 (P27(x134901,x134901,f7(x134901),x134902)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13494,plain,
% 198.16/197.94 (P27(x134941,x134941,f7(x134941),x134942)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13497,plain,
% 198.16/197.94 (~P1(f326(f326(f235(f939(x134971,a927)),x134972),f188(f939(x134971,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4807])).
% 198.16/197.94 cnf(13500,plain,
% 198.16/197.94 (P27(x135001,x135001,f7(x135001),x135002)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13503,plain,
% 198.16/197.94 (P27(x135031,x135031,f7(x135031),x135032)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13509,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x135091,a927)),x135092),f241(f939(x135091,a927))))),
% 198.16/197.94 inference(rename_variables,[],[3960])).
% 198.16/197.94 cnf(13514,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x135141,a927)),f188(f939(x135141,a927))),x135142))),
% 198.16/197.94 inference(rename_variables,[],[4027])).
% 198.16/197.94 cnf(13518,plain,
% 198.16/197.94 (E(f326(f283(x135181,x135181),f262(x135181,x135182)),x135182)),
% 198.16/197.94 inference(rename_variables,[],[3537])).
% 198.16/197.94 cnf(13522,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x135221),x135222),f188(f939(x135221,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13527,plain,
% 198.16/197.94 (P27(x135271,x135271,f7(x135271),x135272)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13530,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x135301,a927)),x135302),f241(f939(x135301,a927))))),
% 198.16/197.94 inference(rename_variables,[],[3960])).
% 198.16/197.94 cnf(13538,plain,
% 198.16/197.94 (E(f326(f326(f18(x135381,x135382),x135383),x135384),x135383)),
% 198.16/197.94 inference(rename_variables,[],[3567])).
% 198.16/197.94 cnf(13541,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x135411),x135412),f188(f939(x135411,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13544,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x135441),x135442),f188(f939(x135441,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13549,plain,
% 198.16/197.94 (~E(f326(a112,x135491),x135491)),
% 198.16/197.94 inference(rename_variables,[],[4734])).
% 198.16/197.94 cnf(13553,plain,
% 198.16/197.94 (E(f326(f283(x135531,x135531),f262(x135531,x135532)),x135532)),
% 198.16/197.94 inference(rename_variables,[],[3537])).
% 198.16/197.94 cnf(13554,plain,
% 198.16/197.94 (~E(f326(a112,x135541),x135541)),
% 198.16/197.94 inference(rename_variables,[],[4734])).
% 198.16/197.94 cnf(13557,plain,
% 198.16/197.94 (P1(f326(f326(f235(a931),x135571),f326(a112,x135571)))),
% 198.16/197.94 inference(rename_variables,[],[3644])).
% 198.16/197.94 cnf(13558,plain,
% 198.16/197.94 (~E(f326(a112,x135581),x135581)),
% 198.16/197.94 inference(rename_variables,[],[4734])).
% 198.16/197.94 cnf(13561,plain,
% 198.16/197.94 (P1(f326(f326(f235(a931),x135611),f326(a112,f326(f326(f79(a931),x135612),x135611))))),
% 198.16/197.94 inference(rename_variables,[],[4028])).
% 198.16/197.94 cnf(13562,plain,
% 198.16/197.94 (P1(f326(f326(f235(a931),x135621),f326(a112,x135621)))),
% 198.16/197.94 inference(rename_variables,[],[3644])).
% 198.16/197.94 cnf(13564,plain,
% 198.16/197.94 (~E(f326(f326(f80(a931),f326(a112,f2(a931))),f119(x135641)),f326(f326(f80(a931),f326(a112,f2(a931))),f126(x135641,x135642,x135643)))),
% 198.16/197.94 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,13070,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,13016,13475,13485,13490,13494,13500,13503,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,12998,13549,13554,13558,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3289,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,13341,13518,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3412,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,13441,4172,4796,11395,11494,11733,11736,3542,3977,13019,3564,3680,3901,4774,3647,13097,13131,3471,10698,11030,3472,4783,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,11619,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,13557,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,4164,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,4274,11421,12551,12633,12693,12737,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,13413,13484,13489,13509,4807,11159,11570,12697,13497,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,13465,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,13406,13479,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,13395,13480,13522,13541,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,13468,3597,11060,11219,11289,12087,12234,12433,12653,12678,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,3890,12051,12567,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,12900,13474,4025,11332,11338,11356,12352,12485,12578,12868,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,4356,4027,11063,11437,11605,11639,11650,12807,12857,3730,11323,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,12728,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,11251,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787,8788,8789,8790,8940,9176,9200,9201,9270,9284,9337,9338,9466,9500,9526,9558,9599,9796,9921,10063,10252,10308,10310,6137,6138,6681,6682,6772])).
% 198.16/197.94 cnf(13571,plain,
% 198.16/197.94 (P1(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x135711)))),
% 198.16/197.94 inference(rename_variables,[],[3676])).
% 198.16/197.94 cnf(13574,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),f2(a931)),x135741))),
% 198.16/197.94 inference(rename_variables,[],[3597])).
% 198.16/197.94 cnf(13578,plain,
% 198.16/197.94 (~E(f326(a112,x135781),f2(a931))),
% 198.16/197.94 inference(rename_variables,[],[4744])).
% 198.16/197.94 cnf(13581,plain,
% 198.16/197.94 (P1(f326(f326(f234(a1),x135811),x135811))),
% 198.16/197.94 inference(rename_variables,[],[3577])).
% 198.16/197.94 cnf(13585,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x135851,a927)),f326(f172(x135851),f176(x135851,x135852,x135853))),f326(f172(x135851),x135852)))),
% 198.16/197.94 inference(rename_variables,[],[4274])).
% 198.16/197.94 cnf(13590,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x135901),x135902),f188(f939(x135901,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13593,plain,
% 198.16/197.94 (P1(f326(f61(a931),f304(a931,x135931,x135932)))),
% 198.16/197.94 inference(rename_variables,[],[3784])).
% 198.16/197.94 cnf(13594,plain,
% 198.16/197.94 (E(f326(f326(f232(a931),f326(a112,x135941)),f326(a112,x135942)),f326(a112,f326(f326(f232(a931),x135941),x135942)))),
% 198.16/197.94 inference(rename_variables,[],[3747])).
% 198.16/197.94 cnf(13597,plain,
% 198.16/197.94 (P1(f326(f61(a931),f304(a931,x135971,x135972)))),
% 198.16/197.94 inference(rename_variables,[],[3784])).
% 198.16/197.94 cnf(13598,plain,
% 198.16/197.94 (E(f326(f326(f233(a931),f326(a112,x135981)),f326(a112,x135982)),f326(a112,f326(f326(f233(a931),x135981),x135982)))),
% 198.16/197.94 inference(rename_variables,[],[3748])).
% 198.16/197.94 cnf(13601,plain,
% 198.16/197.94 (P1(f326(f61(a931),f304(a931,x136011,x136012)))),
% 198.16/197.94 inference(rename_variables,[],[3784])).
% 198.16/197.94 cnf(13610,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x136101),x136102),f188(f939(x136101,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13611,plain,
% 198.16/197.94 (E(f326(f326(f18(x136111,x136112),x136113),x136114),x136113)),
% 198.16/197.94 inference(rename_variables,[],[3567])).
% 198.16/197.94 cnf(13614,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x136141,a927)),f326(f172(x136141),f326(f136(x136141,x136142),x136143))),f326(f172(x136141),x136143)))),
% 198.16/197.94 inference(rename_variables,[],[4225])).
% 198.16/197.94 cnf(13615,plain,
% 198.16/197.94 (E(f326(f326(f18(x136151,x136152),x136153),x136154),x136153)),
% 198.16/197.94 inference(rename_variables,[],[3567])).
% 198.16/197.94 cnf(13618,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x136181,a927)),f326(f172(x136181),f326(f326(f175(x136181),x136182),x136183))),f326(f172(x136181),x136183)))),
% 198.16/197.94 inference(rename_variables,[],[4269])).
% 198.16/197.94 cnf(13619,plain,
% 198.16/197.94 (E(f326(f326(f18(x136191,x136192),x136193),x136194),x136193)),
% 198.16/197.94 inference(rename_variables,[],[3567])).
% 198.16/197.94 cnf(13623,plain,
% 198.16/197.94 (E(f326(f326(f18(x136231,x136232),x136233),x136234),x136233)),
% 198.16/197.94 inference(rename_variables,[],[3567])).
% 198.16/197.94 cnf(13636,plain,
% 198.16/197.94 (P1(f326(f326(f234(a1),f2(a1)),f326(f100(a1),x136361)))),
% 198.16/197.94 inference(rename_variables,[],[3676])).
% 198.16/197.94 cnf(13641,plain,
% 198.16/197.94 (P27(x136411,x136411,f7(x136411),x136412)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13644,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x136441),x136442),f188(f939(x136441,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(13645,plain,
% 198.16/197.94 (E(f326(f283(x136451,x136451),f262(x136451,x136452)),x136452)),
% 198.16/197.94 inference(rename_variables,[],[3537])).
% 198.16/197.94 cnf(13646,plain,
% 198.16/197.94 (P27(x136461,x136461,f7(x136461),x136462)),
% 198.16/197.94 inference(rename_variables,[],[3815])).
% 198.16/197.94 cnf(13650,plain,
% 198.16/197.94 (E(f326(f283(x136501,x136501),f262(x136501,x136502)),x136502)),
% 198.16/197.94 inference(rename_variables,[],[3537])).
% 198.16/197.94 cnf(13657,plain,
% 198.16/197.94 (P1(f326(f326(f235(f939(a1,a927)),f302(a1,f2(a1),f2(a1))),f302(a1,f326(f78(a1),f326(f100(a1),f326(a112,x136571))),f2(a1))))),
% 198.16/197.94 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,13070,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,13016,13475,13485,13490,13494,13500,13503,13527,13641,13646,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,12998,13549,13554,13558,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,13223,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3279,3289,3290,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,13341,13518,13553,13645,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3412,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,13441,13538,13611,13615,13619,13623,4172,4796,11395,11494,11733,11736,3542,3977,13019,3564,3680,3901,3672,4774,3647,13097,13131,3471,10698,11030,3472,4783,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,11619,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,13557,4030,12055,3560,3656,11883,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,13219,13593,13597,13601,3785,4164,3747,13594,3748,13598,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,12843,13614,4269,13618,4274,11421,12551,12633,12693,12737,13444,13585,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,13413,13484,13489,13509,13530,4807,11159,11570,12697,13497,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,13465,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,13457,13581,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,13406,13479,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,13395,13480,13522,13541,13544,13590,13610,13644,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,13571,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,13468,3597,11060,11219,11289,12087,12234,12433,12653,12678,13290,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,4566,3890,12051,12567,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,12900,13474,4025,11332,11338,11356,12352,12485,12578,12868,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,13416,4356,4027,11063,11437,11605,11639,11650,12807,12857,13514,3730,11323,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,12728,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,11251,4294,4826,4852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2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787,8788,8789,8790,8940,9176,9200,9201,9270,9284,9337,9338,9466,9500,9526,9558,9599,9796,9921,10063,10252,10308,10310,6137,6138,6681,6682,6772,6792,6793,7210,7430,8588,8782,8861,9109,9295,9296,9364,9365,9553,9647,9648,9649,9650,9860,10127,10141,10515,10516,6754,8693,8694])).
% 198.16/197.94 cnf(13664,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),f2(a931)),x136641))),
% 198.16/197.94 inference(rename_variables,[],[3597])).
% 198.16/197.94 cnf(13665,plain,
% 198.16/197.94 (P1(f326(f326(f235(a931),f2(a931)),f326(a112,x136651)))),
% 198.16/197.94 inference(rename_variables,[],[3656])).
% 198.16/197.94 cnf(13666,plain,
% 198.16/197.94 (E(f326(f283(x136661,x136661),f262(x136661,x136662)),x136662)),
% 198.16/197.94 inference(rename_variables,[],[3537])).
% 198.16/197.94 cnf(13669,plain,
% 198.16/197.94 (P1(f326(f48(f326(f283(x136691,x136691),f262(x136691,f326(f326(f79(a931),f326(f326(f80(a931),f326(f250(a931,a931),f326(f326(f251(a931,a931),f2(a931)),x136692))),f326(a112,f326(f326(f79(a931),x136693),f326(f255(a931,a931),f326(f326(f251(a931,a931),f2(a931)),x136692)))))),f326(f255(a931,a931),f326(f326(f251(a931,a931),f2(a931)),x136692))))),f326(a112,f326(f326(f79(a931),x136693),f326(f255(a931,a931),f326(f326(f251(a931,a931),f2(a931)),x136692))))),f326(f326(f251(a931,a931),f2(a931)),x136692)))),
% 198.16/197.94 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,13070,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,13016,13475,13485,13490,13494,13500,13503,13527,13641,13646,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,12998,13549,13554,13558,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,13223,13578,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3256,3259,3261,3262,3270,3271,3278,3279,3289,3290,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,13341,13518,13553,13645,13650,13666,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3412,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,13441,13538,13611,13615,13619,13623,4172,4796,11395,11494,11733,11736,3542,3977,13019,3564,3680,3901,3672,4774,3647,13097,13131,3471,10698,11030,3472,4783,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,11619,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3757,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,13557,13562,4030,12055,3560,3656,11883,12169,13665,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,13219,13593,13597,13601,3785,4164,3747,13594,3748,13598,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,12843,13614,4269,13618,4274,11421,12551,12633,12693,12737,13444,13585,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,13413,13484,13489,13509,13530,4807,11159,11570,12697,13497,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,13465,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,13457,13581,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,13406,13479,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,13395,13480,13522,13541,13544,13590,13610,13644,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,13571,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,13468,3597,11060,11219,11289,12087,12234,12433,12653,12678,13290,13574,13664,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,4566,3890,12051,12567,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,12900,13474,4025,11332,11338,11356,12352,12485,12578,12868,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,13416,4356,4027,11063,11437,11605,11639,11650,12807,12857,13514,3730,11323,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,12728,4362,4058,12995,4003,4004,4810,10647,10650,11021,11024,11923,12115,12937,4811,12032,12120,4028,10985,11251,13561,4294,4826,4852,4907,4911,4939,4954,4961,4963,4999,5004,5033,5039,5125,5151,5152,5167,5217,5218,5240,5241,5255,5258,5283,5289,5305,5309,5310,5311,5316,5317,5340,5364,5366,5367,5377,5382,5388,5424,5425,5433,5441,5445,5447,5450,5462,5464,5470,5475,5476,5489,5495,5498,5499,5503,5537,5551,5560,5562,5563,5566,5567,5568,5578,5580,5586,5587,5588,5594,5598,5599,5600,5608,5612,5613,5619,5632,5640,5652,5654,5662,5664,5665,5668,5672,5698,5712,5713,5728,5740,5762,5768,5790,5791,5795,5814,5822,5823,5828,5829,5839,5841,5854,5858,5867,5868,5870,5871,5887,5892,5901,5902,5913,5920,5934,5938,5941,5947,5948,5949,5952,5957,5993,5994,5997,5999,6001,6003,6004,6005,6007,6009,6011,6016,6023,6038,6052,6058,6059,6062,6073,6074,6081,6083,6087,6089,6095,6103,6141,6156,6165,6168,6177,6181,6182,6183,6184,6185,6190,6195,6205,6211,6229,6233,6242,6271,6285,6314,6331,6332,6335,6350,6352,6354,6356,6371,6372,6375,6377,6380,6381,6396,6404,6405,6406,6408,6410,6445,6446,6451,6454,6460,6464,6498,6500,6502,6504,6513,6515,6517,6523,6525,6530,6533,6541,6549,6551,6552,6559,6580,6581,6582,6583,6584,6586,6593,6598,6631,6632,6635,6636,6637,6639,6640,6641,6642,6649,6683,6684,6693,6715,6716,6738,6740,6752,6753,6759,6789,6791,6806,6843,6846,6847,6901,6924,6966,6980,6987,6996,6997,6998,6999,7018,7019,7026,7038,7041,7043,7045,7046,7047,7049,7063,7074,7075,7076,7089,7144,7155,7157,7161,7180,7181,7215,7223,7228,7258,7289,7345,7374,7431,7452,7461,7464,7527,7537,7601,7603,7617,7626,7627,7628,7646,7650,7652,7701,7711,7717,7732,7780,7782,7785,7828,7829,7847,7917,7935,7958,7981,7993,8007,8018,8029,8030,8056,8058,8060,8069,8113,8124,8149,8177,8210,8241,8276,8316,8332,8334,8350,8351,8418,8429,8494,8518,8537,8564,8603,8604,8621,8646,8661,8663,8665,8671,8686,8690,8705,8726,8734,8736,8746,8751,8755,8756,8757,8758,8759,8760,8779,8794,8795,8813,8815,8819,8820,8821,8822,8823,8841,8842,8843,8853,8866,8869,8880,8885,8887,8889,8890,8891,8898,8904,8912,8915,8932,8933,8942,8943,8951,8970,8983,8987,9008,9030,9031,9034,9035,9041,9050,9051,9074,9086,9096,9097,9098,9101,9124,9125,9136,9186,9196,9198,9214,9226,9227,9228,9239,9303,9334,9335,9336,9351,9368,9376,9404,9410,9457,9482,9515,9521,9531,9532,9533,9542,9570,9586,9590,9594,9616,9617,9644,9709,9714,9717,9749,9750,9751,9775,9776,9793,9814,9820,9832,9857,9880,9889,9890,9891,9892,9907,9909,9914,9944,9945,9951,9952,9996,9997,10008,10009,10033,10051,10053,10054,10062,10067,10074,10098,10133,10135,10139,10189,10225,10235,10237,10241,10242,10244,10253,10254,10274,10279,10374,10463,10464,10465,10466,10529,10547,2,8,9,4839,4840,4858,4900,4902,4903,4926,4932,4933,4943,4988,4990,5038,5168,5169,5182,5206,5261,5262,5268,5269,5271,5273,5282,5285,5286,5294,5307,5308,5314,5335,5336,5353,5358,5359,5360,5361,5365,5373,5376,5383,5438,5443,5444,5449,5456,5486,5496,5501,5517,5535,5536,5543,5544,5545,5556,5574,5576,5577,5584,5591,5592,5604,5605,5606,5607,5609,5610,5615,5616,5617,5618,5648,5649,5650,5658,5659,5660,5661,5704,5709,5711,5747,5749,5750,5752,5753,5755,5756,5758,5767,5772,5773,5774,5776,5778,5779,5780,5781,5782,5783,5792,5793,5803,5806,5817,5833,5834,5837,5848,5850,5851,5852,5879,5889,5904,5905,5914,5915,5917,5919,5924,5959,5964,5966,6025,6060,6061,6066,6072,6075,6076,6077,6078,6090,6100,6104,6105,6114,6136,6169,6188,6189,6193,6194,6196,6219,6223,6226,6227,6228,6244,6255,6256,6287,6288,6292,6316,6319,6322,6344,6345,6373,6376,6384,6395,6403,6407,6415,6416,6417,6418,6448,6465,6516,6553,6555,6556,6577,6578,6585,6589,6590,6594,6608,6623,6644,6645,6650,6659,6661,6676,6696,6703,6705,6720,6721,6724,6725,6727,6729,6730,6731,6733,6735,6739,6745,6746,6748,6749,6755,6757,6799,6805,6820,6822,6823,6824,6857,6862,6864,6869,6870,6880,6884,6896,6919,6920,6922,6923,6934,6940,6958,6961,6981,7000,7009,7012,7013,7014,7020,7034,7053,7055,7057,7059,7064,7070,7072,7086,7091,7092,7129,7130,7131,7146,7147,7149,7150,7170,7172,7187,7213,7236,7247,7249,7251,7253,7254,7286,7287,7288,7292,7293,7300,7301,7303,7305,7327,7336,7337,7348,7358,7398,7408,7414,7421,7432,7437,7439,7446,7455,7468,7485,7506,7508,7525,7530,7584,7585,7586,7588,7590,7594,7600,7602,7665,7684,7697,7714,7715,7731,7762,7765,7772,7788,7812,7830,7833,7834,7844,7864,7866,7868,7870,7871,7872,7873,7874,7899,7925,7926,7957,7959,7960,7961,7966,7987,8004,8009,8015,8017,8025,8037,8038,8040,8061,8067,8094,8162,8163,8164,8213,8219,8220,8243,8244,8263,8264,8265,8323,8324,8354,8384,8394,8408,8421,8450,8454,8460,8472,8490,8495,8517,8562,8591,8605,8624,8627,8654,8680,8737,8738,8741,8742,8811,8845,8846,8847,8848,8875,8907,8936,8944,8945,8986,9007,9052,9068,9115,9118,9133,9140,9183,9222,9223,9241,9242,9256,9373,9378,9382,9402,9420,9444,9446,9449,9455,9458,9459,9469,9470,9489,9497,9507,9514,9556,9574,9629,9630,9636,9675,9700,9706,9745,9755,9758,9759,9761,9762,9774,9798,9813,9822,9823,9825,9827,9856,9978,9979,10028,10029,10068,10104,10216,10283,10349,10437,10455,10460,3,2904,2907,2910,2915,2917,2928,2929,2930,2932,2933,2934,2935,2936,2937,2938,2941,2944,2945,2946,2947,2948,2951,2953,2955,2956,2957,2958,2966,2967,2968,2970,2972,2973,2975,2976,2985,2986,2988,2989,2990,2991,2992,3004,3005,3006,3012,3014,3015,3016,3017,3018,3021,3027,3028,3029,3030,3032,3046,3048,3049,3053,3054,3064,3067,3068,3069,3076,3078,3080,3082,3111,3112,3113,3123,3125,3126,3127,3128,3130,3131,3153,3154,3166,3167,3169,3175,5534,5573,5720,5721,5722,5804,5903,5933,5967,5983,5985,5991,6053,6054,6055,6056,6064,6102,6239,6276,6286,6313,6348,6385,6532,6537,6575,6576,6599,6601,6603,6610,6611,6612,6613,6614,6615,6616,6617,6698,6769,6770,6856,6891,6892,6931,6932,7071,7085,7141,7158,7159,7166,7188,7220,7222,7268,7290,7291,7309,7310,7347,7392,7393,7492,7564,7565,7566,7567,7582,7618,7670,7671,7680,7688,7689,7700,7734,7735,7736,7737,7880,7881,7883,7885,7891,7892,8077,8100,8103,8109,8110,8121,8159,8160,8239,8282,8336,8359,8360,8436,8530,8601,8602,8606,8639,8676,8701,8702,8769,8787,8788,8789,8790,8940,9176,9200,9201,9270,9284,9337,9338,9466,9500,9526,9558,9599,9796,9921,10063,10252,10308,10310,6137,6138,6681,6682,6772,6792,6793,7210,7430,8588,8782,8861,9109,9295,9296,9364,9365,9553,9647,9648,9649,9650,9860,10127,10141,10515,10516,6754,8693,8694,9165,9184])).
% 198.16/197.94 cnf(13747,plain,
% 198.16/197.94 (P1(f326(f326(f235(a1),f2(a1)),f326(f75(a1),f77(a1))))),
% 198.16/197.94 inference(scs_inference,[],[4803,4240,12890,12912,13066,13068,13070,3791,12520,12542,13006,13008,3815,11489,12557,12663,12666,12758,12800,12804,12812,12884,13014,13016,13475,13485,13490,13494,13500,13503,13527,13641,13646,3824,12630,13123,13125,3833,3546,13043,13045,13047,3547,13074,3513,12966,4763,4764,12134,4515,13108,3550,13053,3389,3446,13049,3447,13030,3448,3449,3450,12840,13061,4762,3876,4734,10565,10575,10588,10599,10671,10706,10709,10712,10814,10951,11264,11459,11462,11481,11484,11680,11781,11788,11802,11848,11851,11884,11899,11962,12019,12038,12331,12356,12373,12402,12408,12502,12626,12793,12854,12998,13549,13554,13558,3632,3595,13104,3781,12303,3497,4744,10798,10900,11369,11469,13223,13578,3185,3186,3188,3189,3192,3193,3195,3196,3197,3199,3200,3203,3204,3212,3213,3214,3217,3218,3227,3230,3236,3242,3243,3250,3254,3256,3259,3261,3262,3263,3270,3271,3278,3279,3289,3290,3293,3294,3295,3307,3313,3315,3318,3319,3323,3324,3326,3327,3334,3335,3342,3345,3355,3366,4731,3371,3445,4732,3915,4145,12069,3423,11778,3558,3534,3537,10634,10637,10733,10736,11054,11793,11796,11910,11949,11954,12022,12064,12104,12523,12734,12944,13000,13004,13026,13028,13034,13036,13041,13080,13099,13140,13341,13518,13553,13645,13650,13666,3508,12825,12829,12833,3514,3523,4037,4344,3491,13407,3643,12887,12969,3412,3413,3775,4131,11824,3631,13086,3474,3409,3436,3895,3432,3539,4249,4139,3958,4717,3420,3421,3399,4049,3456,3633,11214,11341,12627,12844,3507,4214,4753,10625,10795,11677,12785,12826,12830,4760,12797,3567,12154,12157,13441,13538,13611,13615,13619,13623,4172,4796,11395,11494,11733,11736,3542,3977,13019,3564,3680,3901,3672,4774,3647,13097,13131,3471,10698,11030,3472,4783,3734,3464,3390,3493,11814,4358,12815,12956,4216,11415,11546,11608,12769,12775,12901,12904,12934,4815,11316,11559,11671,11697,11741,11747,12713,4816,11448,11562,11674,11744,4817,11565,11619,4818,11626,4819,3492,3773,12669,12710,12796,3942,3722,4629,4630,3757,3796,4751,11807,3919,3878,3921,4094,3845,13324,13328,13332,13336,13346,4141,12660,3759,4020,3644,10717,10837,10917,10990,10993,11033,11133,11385,11996,12327,12395,12473,12511,12598,12601,12938,13206,13245,13248,13307,13557,13562,4030,12055,3560,3656,11883,12169,13665,3839,4789,10602,10605,10631,10758,10935,11141,11156,11274,11719,11817,11995,12220,12225,12449,12452,12535,12716,12819,13152,13171,13174,13198,13249,13389,13422,13427,13451,13456,4802,11926,11957,11992,11999,12035,13258,13262,4017,3782,13434,3784,13177,13180,13183,13186,13216,13219,13593,13597,13601,3785,4164,3747,13594,3748,13598,3603,3605,3579,4786,3470,4748,3968,4280,3766,4804,4351,11694,3900,3616,12175,12178,12634,12738,12915,4794,10593,10596,10766,10861,10880,10887,10912,10920,10923,10940,11126,11372,11588,11877,11971,12123,12238,12241,4320,4279,12320,12684,4225,11211,12505,12694,12843,13614,4269,13618,4274,11421,12551,12633,12693,12737,13444,13585,4275,3943,12003,12330,12480,12562,12617,4308,3960,10761,10858,11418,11499,11578,11645,12501,12579,12849,12911,12931,12941,13413,13484,13489,13509,13530,4807,11159,11570,12697,13497,3576,10726,10824,10976,11040,11115,11162,11165,11196,11222,11258,11296,11335,12126,12172,12300,12355,12376,12379,12382,12385,12554,12572,12586,12589,12592,12595,12677,12741,12860,12907,13199,13222,13281,13299,13310,13315,13318,13321,13354,13367,13378,13433,13462,13465,3577,10753,10809,11045,11136,11261,11902,12203,12206,12217,12306,12317,12336,12341,12388,12411,12428,13213,13358,13381,13423,13428,13452,13457,13581,3578,12604,12607,3652,12538,13278,13325,13329,13333,13337,13347,13351,4785,10642,10674,11180,11225,11234,12083,12107,12274,12277,12280,12283,12372,12391,12394,12407,12461,12464,12467,12470,12645,12648,12744,12747,12853,12893,12978,3729,10905,10996,11269,11313,11549,11552,11634,11716,11887,12137,12361,12792,12981,13406,13479,4798,11189,11199,11305,11326,11329,11398,11401,11412,11515,11523,11537,11573,11593,11602,11642,11683,11688,11691,11710,11713,11750,11755,11758,11761,11764,12002,12151,12184,12455,12458,12492,12539,12575,12722,12766,12772,12872,12875,12897,12955,12961,12972,12992,13277,13293,13296,13395,13480,13522,13541,13544,13590,13610,13644,3637,11027,11057,11066,11069,11072,11663,12894,12908,13259,13263,13266,13269,3676,13571,13636,3669,4098,4035,10677,12058,12086,13240,4795,10622,11015,11018,11518,11534,12018,12074,12111,12138,12235,12262,12265,12268,12271,12534,13468,3597,11060,11219,11289,12087,12234,12433,12653,12678,13290,13574,13664,4059,12181,13193,4399,3788,4792,4070,4106,4777,4780,4781,3553,3557,4779,4778,4566,3890,12051,12567,4493,11909,4809,10926,10929,4814,11404,11407,11596,11707,11724,11770,4182,11767,12110,12114,12803,12811,12900,13474,4025,11332,11338,11356,12352,12485,12578,12868,3874,11474,11599,12610,12719,12729,12808,12863,12871,12989,13416,4356,4027,11063,11437,11605,11639,11650,12807,12857,13514,3730,11323,3840,10979,10982,11075,11245,3842,4812,12052,4808,13161,4813,10817,10932,11581,12672,12681,12725,12925,12928,4454,11202,12690,12705,12728,4362,4058,12995,4003,4004,4810,10647,1065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% 198.16/197.94 cnf(13912,plain,
% 198.16/197.94 (~E(x139121,f326(a112,x139121))),
% 198.16/197.94 inference(rename_variables,[],[10657])).
% 198.16/197.94 cnf(13920,plain,
% 198.16/197.94 (P1(f326(f326(f286(a931),x139201),x139201))),
% 198.16/197.94 inference(rename_variables,[],[3578])).
% 198.16/197.94 cnf(13936,plain,
% 198.16/197.94 (~P38(x139361,x139362,x139363,f326(f326(f154(x139364,x139361),x139365),f326(a112,f113(x139364))),f113(x139362))),
% 198.16/197.94 inference(rename_variables,[],[11610])).
% 198.16/197.94 cnf(13945,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),x139451),f326(f326(f80(a931),x139451),x139451)))),
% 198.16/197.94 inference(rename_variables,[],[3840])).
% 198.16/197.94 cnf(13954,plain,
% 198.16/197.94 (~P1(f326(f326(f328(a931),x139541),f326(f281(a931),f2(a931))))),
% 198.16/197.94 inference(rename_variables,[],[12200])).
% 198.16/197.94 cnf(13961,plain,
% 198.16/197.94 (~P1(f326(f326(f328(a931),x139611),f326(f281(a931),f2(a931))))),
% 198.16/197.94 inference(rename_variables,[],[12200])).
% 198.16/197.94 cnf(13964,plain,
% 198.16/197.94 (P1(f326(f326(f234(f939(x139641,a927)),x139642),f326(f326(f110(f939(x139641,a927)),x139643),f241(f939(x139641,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11577])).
% 198.16/197.94 cnf(13978,plain,
% 198.16/197.94 (P1(f326(f326(f235(a931),x139781),f326(a112,f326(f326(f79(a931),x139782),x139781))))),
% 198.16/197.94 inference(rename_variables,[],[4028])).
% 198.16/197.94 cnf(13989,plain,
% 198.16/197.94 (~P1(f326(f326(f328(a931),x139891),f326(f281(a931),f2(a931))))),
% 198.16/197.94 inference(rename_variables,[],[12200])).
% 198.16/197.94 cnf(14011,plain,
% 198.16/197.94 (E(f326(x140111,f326(f91(x140112,x140113,f241(f939(x140112,a927)),x140111),f326(x140111,x140114))),f326(x140111,x140114))),
% 198.16/197.94 inference(rename_variables,[],[11471])).
% 198.16/197.94 cnf(14023,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x140231),x140232),f188(f939(x140231,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(14036,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(x140361,x140361)),x140362),f262(x140361,f188(f939(x140361,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11325])).
% 198.16/197.94 cnf(14051,plain,
% 198.16/197.94 (~E(f326(f326(f151(x140511),x140512),x140513),x140513)),
% 198.16/197.94 inference(rename_variables,[],[4753])).
% 198.16/197.94 cnf(14058,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x140581),x140582),f188(f939(x140581,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(14078,plain,
% 198.16/197.94 (E(f326(x140781,f326(f91(x140782,x140783,f241(f939(x140782,a927)),x140781),f326(x140781,x140784))),f326(x140781,x140784))),
% 198.16/197.94 inference(rename_variables,[],[11471])).
% 198.16/197.94 cnf(14095,plain,
% 198.16/197.94 (~E(f326(f326(f151(x140951),x140952),x140953),x140953)),
% 198.16/197.94 inference(rename_variables,[],[4753])).
% 198.16/197.94 cnf(14106,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(x141061,x141061)),x141062),f262(x141061,f188(f939(x141061,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11325])).
% 198.16/197.94 cnf(14123,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x141231),x141232),f188(f939(x141231,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(14128,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),f45(a931,x141281,x141282)),x141281))),
% 198.16/197.94 inference(rename_variables,[],[4035])).
% 198.16/197.94 cnf(14150,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(x141501,x141501)),x141502),f262(x141501,f188(f939(x141501,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11325])).
% 198.16/197.94 cnf(14153,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(x141531,x141531)),x141532),f262(x141531,f188(f939(x141531,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11325])).
% 198.16/197.94 cnf(14156,plain,
% 198.16/197.94 (P1(f326(f326(f328(x141561),f326(x141562,x141563)),f326(f309(x141564,x141561,x141562),f241(f939(x141564,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[4182])).
% 198.16/197.94 cnf(14174,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(f932(x141741),f932(x141741))),f326(f326(f251(f932(x141741),f932(x141741)),x141742),f113(x141741))),f147(x141741,x141743)))),
% 198.16/197.94 inference(rename_variables,[],[4816])).
% 198.16/197.94 cnf(14179,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),x141791),f326(f326(f80(a931),x141791),x141791)))),
% 198.16/197.94 inference(rename_variables,[],[3840])).
% 198.16/197.94 cnf(14182,plain,
% 198.16/197.94 (~P1(f326(f326(f235(a931),x141821),x141821))),
% 198.16/197.94 inference(rename_variables,[],[4785])).
% 198.16/197.94 cnf(14187,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x141871),x141872),f188(f939(x141871,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(14197,plain,
% 198.16/197.94 (E(f326(x141971,f326(f91(x141972,x141973,f241(f939(x141972,a927)),x141971),f326(x141971,x141974))),f326(x141971,x141974))),
% 198.16/197.94 inference(rename_variables,[],[11471])).
% 198.16/197.94 cnf(14215,plain,
% 198.16/197.94 (P1(f326(f326(f234(a931),x142151),f326(f326(f80(a931),x142151),x142151)))),
% 198.16/197.94 inference(rename_variables,[],[3840])).
% 198.16/197.94 cnf(14227,plain,
% 198.16/197.94 (~P1(f326(f326(f328(x142271),x142272),f188(f939(x142271,a927))))),
% 198.16/197.94 inference(rename_variables,[],[4798])).
% 198.16/197.94 cnf(14239,plain,
% 198.16/197.94 (~P1(f326(f326(f328(f938(x142391,x142391)),x142392),f262(x142391,f188(f939(x142391,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[11325])).
% 198.16/197.94 cnf(14242,plain,
% 198.16/197.94 (E(f326(f326(f134(x142421),x142422),f113(x142421)),x142422)),
% 198.16/197.94 inference(rename_variables,[],[3508])).
% 198.16/197.94 cnf(14250,plain,
% 198.16/197.94 (P1(f326(f326(f328(x142501),f326(x142502,x142503)),f326(f309(x142504,x142501,x142502),f241(f939(x142504,a927)))))),
% 198.16/197.94 inference(rename_variables,[],[4182])).
% 198.16/197.94 cnf(14313,plain,
% 198.16/197.94 (~P38(x143131,x143132,x143133,f326(f326(f154(x143134,x143131),x143135),f326(a112,f113(x143134))),f113(x143132))),
% 198.16/197.94 inference(rename_variables,[],[11610])).
% 198.16/197.94 cnf(14336,plain,
% 198.16/197.94 ($false),
% 198.16/197.94 inference(scs_inference,[],[4017,4320,4358,4164,3371,4812,3578,13920,4786,4216,4815,4779,3669,4030,4182,14156,14250,4798,14023,14058,14123,14187,14227,4274,4744,4753,14051,14095,4774,3656,4351,4225,3577,4035,14128,3890,4027,3730,3840,13945,14179,14215,3842,4454,4028,13978,3537,3508,14242,3421,3532,4816,14174,4817,4785,14182,4809,4808,4813,4810,11942,10657,13912,13564,13154,12259,12299,13747,12680,10981,12305,13195,13657,10969,13208,11466,13669,11577,13964,11135,3945,11649,11604,11471,14011,14078,14197,13473,3634,3608,13461,13464,11084,12089,12612,12718,13210,12200,13954,13961,13989,11092,11533,11325,14036,14106,14150,14153,14239,11328,11572,11682,11652,11587,12883,11610,13936,14313,11343,11614,12787,11486,11059,11062,3210,6331,8987,8339,5993,6530,7672,6001,5425,5664,6406,7043,10062,2,8880,6059,7038,7646,9891,6997,7089,6332,7741,9097,8332,5858,7431,10225,8758,8726,6141,6405,6847,8124,9996,6635,8060,8933,9914,8822,7435,9515,6184,4959,4963,6074,7828,9351,6966,5665,6640,6182,8795,10067,5151,5472,6445,9030,10235,5563,5938,8029,10254,4955,7006,4911,9889,6185,5464,6233,8746,6352,9226,6411,5823,5712,5791,6271,10279,8,5289,5809,8755,9542,5550,5506,5613,5740,7075,7019,5662,6752,7780,9952,10374,6580,10139,6009,5619,9404,10074,9531,7732,8759,9239,7701,6525,6716,8820,10051,6791,7026,7782,8494,10135,10242,5994,8690,6019,5566,5586,6598,6156,8030,6641,5598,7157,9186,5934,6980,5795,9945,6381,5581,6683,6083,10547,5600,5949,5999,8898,6011,9590,5301,5498,5913,5489,6081,6636,6715,5316,6740,7045,9367,9751,9944,7452,10274,10098,5242,5433,9521,5005,5125,7626,8177,8333,8813,9594,6846,7046,7074,5867,8334,9951,9,4939]),
% 198.16/197.94 ['proof']).
% 198.16/197.94 % SZS output end Proof
% 198.16/197.94 % Total time :171.870000s
%------------------------------------------------------------------------------