TSTP Solution File: SWW352+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 18:08:10 EDT 2024
% Result : Theorem 149.08s 148.74s
% Output : CNFRefutation 149.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n016.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 07:26:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.46/0.62 start to proof:theBenchmark
% 148.52/148.57 %-------------------------------------------
% 148.52/148.57 % File :CSE---1.7
% 148.52/148.57 % Problem :theBenchmark
% 148.52/148.57 % Transform :cnf
% 148.52/148.57 % Format :tptp:raw
% 148.52/148.57 % Command :java -jar mcs_scs.jar %d %s
% 148.52/148.57
% 148.52/148.57 % Result :Theorem 134.440000s
% 148.52/148.57 % Output :CNFRefutation 134.440000s
% 148.52/148.57 %-------------------------------------------
% 148.62/148.58 %------------------------------------------------------------------------------
% 148.62/148.58 % File : SWW352+1 : TPTP v8.2.0. Released v5.2.0.
% 148.62/148.58 % Domain : Software Verification
% 148.62/148.58 % Problem : Hoare's Logic with Procedures 435338, 5000 axioms selected
% 148.62/148.58 % Version : Especial.
% 148.62/148.58 % English :
% 148.62/148.58
% 148.62/148.58 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 148.62/148.58 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 148.62/148.58 % Source : [Bla11]
% 148.62/148.58 % Names : hoare_435338.5000.p [Bla11]
% 148.62/148.58
% 148.62/148.58 % Status : ContradictoryAxioms
% 148.62/148.58 % Rating : 0.83 v8.2.0, 0.78 v7.4.0, 0.87 v7.3.0, 0.83 v7.1.0, 0.78 v7.0.0, 0.83 v6.4.0, 0.81 v6.3.0, 0.79 v6.2.0, 0.88 v6.1.0, 0.90 v6.0.0, 0.87 v5.5.0, 0.93 v5.4.0, 0.96 v5.3.0, 1.00 v5.2.0
% 148.62/148.58 % Syntax : Number of formulae : 5242 (1733 unt; 0 def)
% 148.62/148.58 % Number of atoms : 12598 (4515 equ)
% 148.62/148.58 % Maximal formula atoms : 13 ( 2 avg)
% 148.62/148.58 % Number of connectives : 8373 (1017 ~; 155 |; 716 &)
% 148.62/148.58 % ( 896 <=>;5589 =>; 0 <=; 0 <~>)
% 148.62/148.58 % Maximal formula depth : 22 ( 6 avg)
% 148.62/148.58 % Maximal term depth : 19 ( 2 avg)
% 148.62/148.58 % Number of predicates : 145 ( 144 usr; 2 prp; 0-6 aty)
% 148.62/148.58 % Number of functors : 382 ( 382 usr; 55 con; 0-7 aty)
% 148.62/148.58 % Number of variables : 16661 (16516 !; 145 ?)
% 148.62/148.58 % SPC : FOF_CAX_RFO_SEQ
% 148.62/148.58
% 148.62/148.58 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 148.62/148.58 % 2011-03-01 12:22:48
% 148.62/148.58 %------------------------------------------------------------------------------
% 148.62/148.58 %----Relevant facts (4986)
% 148.62/148.58 fof(fact_ext,axiom,
% 148.62/148.58 ! [V_g_2,V_f_2] :
% 148.62/148.58 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 148.62/148.58 => V_f_2 = V_g_2 ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_empty,axiom,
% 148.62/148.58 ! [V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 148.62/148.58 ! [V_a_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_cut,axiom,
% 148.62/148.58 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 148.62/148.58 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_G_H_2)
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_hoare__derivs_Oinsert,axiom,
% 148.62/148.58 ! [V_ts_2,V_t_2,V_Ga_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.58 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2)
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2)) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_derivs__insertD,axiom,
% 148.62/148.58 ! [V_ts_2,V_t_2,V_Ga_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),V_ts_2))
% 148.62/148.58 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.58 & c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_empty__not__insert,axiom,
% 148.62/148.58 ! [V_A_2,V_a_2,T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_insert__not__empty,axiom,
% 148.62/148.58 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_doubleton__eq__iff,axiom,
% 148.62/148.58 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.62/148.58 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 148.62/148.58 <=> ( ( V_a_2 = V_ca_2
% 148.62/148.58 & V_b_2 = V_d_2 )
% 148.62/148.58 | ( V_a_2 = V_d_2
% 148.62/148.58 & V_b_2 = V_ca_2 ) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_singleton__inject,axiom,
% 148.62/148.58 ! [V_b_2,V_a_2,T_a] :
% 148.62/148.58 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 148.62/148.58 => V_a_2 = V_b_2 ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_bot__apply,axiom,
% 148.62/148.58 ! [V_x_2,T_b,T_a] :
% 148.62/148.58 ( class_Orderings_Obot(T_a)
% 148.62/148.58 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_MGF__complete,axiom,
% 148.62/148.58 ! [V_Q_2,V_P_2,V_ca_2] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 148.62/148.58 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_com_Osimps_I6_J,axiom,
% 148.62/148.58 ! [V_pname_H_2,V_pname_2] :
% 148.62/148.58 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 148.62/148.58 <=> V_pname_2 = V_pname_H_2 ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_the__elem__eq,axiom,
% 148.62/148.58 ! [V_x_2,T_a] : c_Set_Othe__elem(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ).
% 148.62/148.58
% 148.62/148.58 fof(fact_insert__absorb2,axiom,
% 148.62/148.58 ! [V_A_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_insert__commute,axiom,
% 148.62/148.58 ! [V_A_2,V_y_2,V_x_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_insert__code,axiom,
% 148.62/148.58 ! [V_x_2,V_A_2,V_y_2,T_a] :
% 148.62/148.58 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),V_A_2),V_x_2))
% 148.62/148.58 <=> ( V_y_2 = V_x_2
% 148.62/148.58 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_weak__Body,axiom,
% 148.62/148.58 ! [V_Q_2,V_pn_2,V_P_2,V_Ga_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_triple_Oinject,axiom,
% 148.62/148.58 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_a] :
% 148.62/148.58 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 148.62/148.58 <=> ( V_fun1_2 = V_fun1_H_2
% 148.62/148.58 & V_com_2 = V_com_H_2
% 148.62/148.58 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_hoare__sound,axiom,
% 148.62/148.58 ! [V_ts_2,V_Ga_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2)
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_BodyN,axiom,
% 148.62/148.58 ! [V_Ga_2,V_Q_2,V_pn_2,V_P_2,T_a] :
% 148.62/148.58 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),V_Ga_2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.58 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_triple_Orecs,axiom,
% 148.62/148.58 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__rec(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 148.62/148.58
% 148.62/148.58 fof(fact_triple_Osimps_I2_J,axiom,
% 148.62/148.59 ! [V_fun2_2,V_com_2,V_fun1_2,V_f1_2,T_a,T_b] : c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,T_a,V_f1_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = hAPP(hAPP(hAPP(V_f1_2,V_fun1_2),V_com_2),V_fun2_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 148.62/148.59 ! [V_a2_2,V_a1_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_a1_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_a2_2),c_Com_Ocom_OSKIP),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_hoare__derivs_OSkip,axiom,
% 148.62/148.59 ! [V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSKIP),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_conseq1,axiom,
% 148.62/148.59 ! [V_P_2,V_Q_2,V_ca_2,V_P_H_2,V_Ga_2,T_a] :
% 148.62/148.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_H_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.59 => ( ! [B_Z,B_s] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 148.62/148.59 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 148.62/148.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_conseq2,axiom,
% 148.62/148.59 ! [V_Q_2,V_Q_H_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
% 148.62/148.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.59 => ( ! [B_Z,B_s] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 148.62/148.59 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s)) )
% 148.62/148.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_Comp,axiom,
% 148.62/148.59 ! [V_R_2,V_d_2,V_Q_2,V_ca_2,V_P_2,V_Ga_2,T_a] :
% 148.62/148.59 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.59 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_Q_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 148.62/148.59 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_finite__dom__body,axiom,
% 148.62/148.59 hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Com_Opname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_OBody,axiom,
% 148.62/148.59 ! [V_pn] :
% 148.62/148.59 ( hAPP(c_Com_Obody,V_pn) != c_Option_Ooption_ONone(tc_Com_Ocom)
% 148.62/148.59 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn))) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WTs__elim__cases_I8_J,axiom,
% 148.62/148.59 ! [V_a_2,V_P_2,V_X_2] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_P_2,V_a_2)))
% 148.62/148.59 => hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P_2))) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_Oequations_I7_J,axiom,
% 148.62/148.59 ! [V_a_2] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a_2)))
% 148.62/148.59 <=> ? [B_y] : hAPP(c_Com_Obody,V_a_2) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_OBody,axiom,
% 148.62/148.59 ! [V_s1,V_s0,V_pn] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 148.62/148.59 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_OSemi,axiom,
% 148.62/148.59 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 148.62/148.59 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 148.62/148.59 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc__elim__cases_I1_J,axiom,
% 148.62/148.59 ! [V_t,V_s] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 148.62/148.59 => V_t = V_s ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_OSkip,axiom,
% 148.62/148.59 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WTs__elim__cases_I4_J,axiom,
% 148.62/148.59 ! [V_c2,V_c1] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2)))
% 148.62/148.59 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 148.62/148.59 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc__elim__cases_I6_J,axiom,
% 148.62/148.59 ! [V_s1,V_s,V_P] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 148.62/148.59 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I12_J,axiom,
% 148.62/148.59 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I20_J,axiom,
% 148.62/148.59 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I13_J,axiom,
% 148.62/148.59 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I50_J,axiom,
% 148.62/148.59 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com2_2,V_com1_2] : c_Com_Ocom_OSemi(V_com1_2,V_com2_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I21_J,axiom,
% 148.62/148.59 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I51_J,axiom,
% 148.62/148.59 ! [V_com2_2,V_com1_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OSemi(V_com1_2,V_com2_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I3_J,axiom,
% 148.62/148.59 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 148.62/148.59 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 148.62/148.59 <=> ( V_com1_2 = V_com1_H_2
% 148.62/148.59 & V_com2_2 = V_com2_H_2 ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I7_J,axiom,
% 148.62/148.59 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_fun_2,V_pname_2,V_vname_2] :
% 148.62/148.59 ( c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2) = c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2)
% 148.62/148.59 <=> ( V_vname_2 = V_vname_H_2
% 148.62/148.59 & V_pname_2 = V_pname_H_2
% 148.62/148.59 & V_fun_2 = V_fun_H_2 ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com__det,axiom,
% 148.62/148.59 ! [V_u,V_t,V_s,V_c] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 148.62/148.59 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 148.62/148.59 => V_u = V_t ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_Oequations_I4_J,axiom,
% 148.62/148.59 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 148.62/148.59 <=> ? [B_s1] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 148.62/148.59 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_Oequations_I1_J,axiom,
% 148.62/148.59 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I62_J,axiom,
% 148.62/148.59 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_pname_2] : hAPP(c_Com_Ocom_OBODY,V_pname_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I63_J,axiom,
% 148.62/148.59 ! [V_pname_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != hAPP(c_Com_Ocom_OBODY,V_pname_2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_Oequations_I4_J,axiom,
% 148.62/148.59 ! [V_a2_2,V_a1_2] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2)))
% 148.62/148.59 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 148.62/148.59 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_OSemi,axiom,
% 148.62/148.59 ! [V_c1,V_c0] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,V_c0))
% 148.62/148.59 => ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 148.62/148.59 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I49_J,axiom,
% 148.62/148.59 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I48_J,axiom,
% 148.62/148.59 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_OSkip,axiom,
% 148.62/148.59 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_Oequations_I1_J,axiom,
% 148.62/148.59 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I18_J,axiom,
% 148.62/148.59 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_com_Osimps_I19_J,axiom,
% 148.62/148.59 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 148.62/148.59
% 148.62/148.59 fof(fact_evalc_Oequations_I9_J,axiom,
% 148.62/148.59 ! [V_a3_2,V_a2_2,V_a1_2] :
% 148.62/148.59 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 148.62/148.59 <=> hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2)) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_Oequations_I8_J,axiom,
% 148.62/148.59 ! [V_a3_2,V_a1_2,V_a2_2] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_a2_2,V_a1_2,V_a3_2)))
% 148.62/148.59 <=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_a1_2))) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT_OCall,axiom,
% 148.62/148.59 ! [V_a_2,V_X_2,V_pn_2] :
% 148.62/148.59 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_pn_2)))
% 148.62/148.59 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCall(V_X_2,V_pn_2,V_a_2))) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_WT__bodiesD,axiom,
% 148.62/148.59 ! [V_b,V_pn] :
% 148.62/148.59 ( c_Com_OWT__bodies
% 148.62/148.59 => ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
% 148.62/148.59 => hBOOL(hAPP(c_Com_OWT,V_b)) ) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_finite_OinsertI,axiom,
% 148.62/148.59 ! [V_a_2,V_A_2,T_a] :
% 148.62/148.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.62/148.59 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))) ) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_finite_OemptyI,axiom,
% 148.62/148.59 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.62/148.59
% 148.62/148.59 fof(fact_insert__dom,axiom,
% 148.64/148.59 ! [T_b,V_y_2,T_a,V_x_2,V_f_2] :
% 148.64/148.59 ( hAPP(V_f_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 148.64/148.59 => hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) = c_Map_Odom(T_b,T_a,V_f_2) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_WTs__elim__cases_I7_J,axiom,
% 148.64/148.59 ! [V_P] :
% 148.64/148.59 ( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,V_P)))
% 148.64/148.59 => ~ ! [B_y] : hAPP(c_Com_Obody,V_P) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),B_y) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_the_Osimps,axiom,
% 148.64/148.59 ! [V_x,T_a] : hAPP(c_Option_Othe(T_a),hAPP(c_Option_Ooption_OSome(T_a),V_x)) = V_x ).
% 148.64/148.59
% 148.64/148.59 fof(fact_not__None__eq,axiom,
% 148.64/148.59 ! [T_a,V_x_2] :
% 148.64/148.59 ( V_x_2 != c_Option_Ooption_ONone(T_a)
% 148.64/148.59 <=> ? [B_y] : V_x_2 = hAPP(c_Option_Ooption_OSome(T_a),B_y) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_not__Some__eq,axiom,
% 148.64/148.59 ! [T_a,V_x_2] :
% 148.64/148.59 ( ! [B_y] : V_x_2 != hAPP(c_Option_Ooption_OSome(T_a),B_y)
% 148.64/148.59 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Osimps_I3_J,axiom,
% 148.64/148.59 ! [V_a_H,T_a] : hAPP(c_Option_Ooption_OSome(T_a),V_a_H) != c_Option_Ooption_ONone(T_a) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Osimps_I2_J,axiom,
% 148.64/148.59 ! [V_a_H,T_a] : c_Option_Ooption_ONone(T_a) != hAPP(c_Option_Ooption_OSome(T_a),V_a_H) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_finite__insert,axiom,
% 148.64/148.59 ! [V_A_2,V_a_2,T_a] :
% 148.64/148.59 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)))
% 148.64/148.59 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_finite_Oequations_I1_J,axiom,
% 148.64/148.59 ! [T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_finite,axiom,
% 148.64/148.59 ! [V_A_2,T_a] :
% 148.64/148.59 ( class_Finite__Set_Ofinite(T_a)
% 148.64/148.59 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_finite__code,axiom,
% 148.64/148.59 ! [V_A_2,T_a] :
% 148.64/148.59 ( class_Finite__Set_Ofinite(T_a)
% 148.64/148.59 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Oinject,axiom,
% 148.64/148.59 ! [V_a_H_2,V_a_2,T_a] :
% 148.64/148.59 ( hAPP(c_Option_Ooption_OSome(T_a),V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_a_H_2)
% 148.64/148.59 <=> V_a_2 = V_a_H_2 ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_Option_Oset_Osimps_I2_J,axiom,
% 148.64/148.59 ! [V_x_2,T_a] : c_Option_Oset(T_a,hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 148.64/148.59 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.59 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.59 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.59 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_Option_Oset_Osimps_I1_J,axiom,
% 148.64/148.59 ! [T_a] : c_Option_Oset(T_a,c_Option_Ooption_ONone(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_set__empty__eq,axiom,
% 148.64/148.59 ! [V_xo_2,T_a] :
% 148.64/148.59 ( c_Option_Oset(T_a,V_xo_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.59 <=> V_xo_2 = c_Option_Ooption_ONone(T_a) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Orecs_I2_J,axiom,
% 148.64/148.59 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Osimps_I5_J,axiom,
% 148.64/148.59 ! [V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(c_Option_Ooption_OSome(T_b),V_a_2)) = hAPP(V_f2_2,V_a_2) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Orecs_I1_J,axiom,
% 148.64/148.59 ! [V_f2_2,V_f1_2,T_b,T_a] : c_Option_Ooption_Ooption__rec(T_a,T_b,V_f1_2,V_f2_2,c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 148.64/148.59
% 148.64/148.59 fof(fact_option_Osimps_I4_J,axiom,
% 148.64/148.59 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_Option_Ooption_Ooption__case(T_a,T_b,V_f1_2,V_f2_2),c_Option_Ooption_ONone(T_b)) = V_f1_2 ).
% 148.64/148.59
% 148.64/148.59 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 148.64/148.59 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.59 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.64/148.59 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_map__comp__None__iff,axiom,
% 148.64/148.59 ! [V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 148.64/148.59 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 148.64/148.59 <=> ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_b)
% 148.64/148.59 | ? [B_k_H] :
% 148.64/148.59 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 148.64/148.59 & hAPP(V_m1_2,B_k_H) = c_Option_Ooption_ONone(T_a) ) ) ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_is__none__code_I2_J,axiom,
% 148.64/148.59 ! [V_x,T_b] : ~ c_Option_Ois__none(T_b,hAPP(c_Option_Ooption_OSome(T_b),V_x)) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_is__none__code_I1_J,axiom,
% 148.64/148.59 ! [T_a] : c_Option_Ois__none(T_a,c_Option_Ooption_ONone(T_a)) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_folding__one__idem_Oidem,axiom,
% 148.64/148.59 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 148.64/148.59 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.59 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 148.64/148.59 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.59 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.59 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 148.64/148.59
% 148.64/148.59 fof(fact_map__comp__simps_I1_J,axiom,
% 148.64/148.59 ! [V_m1_2,T_b,T_c,T_a,V_k_2,V_m2_2] :
% 148.64/148.59 ( hAPP(V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 148.64/148.60 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = c_Option_Ooption_ONone(T_c) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_map__comp__simps_I2_J,axiom,
% 148.64/148.60 ! [V_m1_2,T_b,T_c,V_k_H_2,T_a,V_k_2,V_m2_2] :
% 148.64/148.60 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_k_H_2)
% 148.64/148.60 => c_Map_Omap__comp(T_a,T_c,T_b,V_m1_2,V_m2_2,V_k_2) = hAPP(V_m1_2,V_k_H_2) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_map__comp__Some__iff,axiom,
% 148.64/148.60 ! [V_v_2,V_k_2,V_m2_2,V_m1_2,T_c,T_a,T_b] :
% 148.64/148.60 ( c_Map_Omap__comp(T_b,T_a,T_c,V_m1_2,V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2)
% 148.64/148.60 <=> ? [B_k_H] :
% 148.64/148.60 ( hAPP(V_m2_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_k_H)
% 148.64/148.60 & hAPP(V_m1_2,B_k_H) = hAPP(c_Option_Ooption_OSome(T_a),V_v_2) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_is__none__def,axiom,
% 148.64/148.60 ! [V_x_2,T_a] :
% 148.64/148.60 ( c_Option_Ois__none(T_a,V_x_2)
% 148.64/148.60 <=> V_x_2 = c_Option_Ooption_ONone(T_a) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_fold1Set__sing,axiom,
% 148.64/148.60 ! [V_b_2,V_a_2,V_f_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_b_2))
% 148.64/148.60 <=> V_a_2 = V_b_2 ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_folding__one_Osingleton,axiom,
% 148.64/148.60 ! [V_x_2,V_F_2,V_f_2,T_a] :
% 148.64/148.60 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.64/148.60 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_evalc__elim__cases_I4_J,axiom,
% 148.64/148.60 ! [V_t,V_s,V_c2,V_c1] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 148.64/148.60 => ~ ! [B_s1] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 148.64/148.60 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_finite_Osimps,axiom,
% 148.64/148.60 ! [V_a_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a_2))
% 148.64/148.60 <=> ( V_a_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.60 | ? [B_A] :
% 148.64/148.60 ( ? [B_a] : V_a_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 148.64/148.60 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.60 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.60 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.64/148.60 => 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) ) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.60 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.60 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.64/148.60 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.60 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_ospec,axiom,
% 148.64/148.60 ! [V_x_2,V_P_2,V_A_2,T_a] :
% 148.64/148.60 ( ! [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Option_Oset(T_a,V_A_2)))
% 148.64/148.60 => hBOOL(hAPP(V_P_2,B_x)) )
% 148.64/148.60 => ( V_A_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 148.64/148.60 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 148.64/148.60 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.60 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.60 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.60 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_a_2),V_A_2) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_dom__minus,axiom,
% 148.64/148.60 ! [V_A_2,T_b,T_a,V_x_2,V_f_2] :
% 148.64/148.60 ( hAPP(V_f_2,V_x_2) = c_Option_Ooption_ONone(T_a)
% 148.64/148.60 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,V_f_2)),V_A_2) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_MGT__alternD,axiom,
% 148.64/148.60 ! [V_ca_2,V_Ga_2] :
% 148.64/148.60 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 148.64/148.60 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,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)),tc_Com_Ostate),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)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 148.64/148.60 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Body__triple__valid__Suc,axiom,
% 148.64/148.60 ! [V_Q_2,V_pn_2,V_P_2,V_n_2,T_a] :
% 148.64/148.60 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Q_2))
% 148.64/148.60 <=> c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_elem__set,axiom,
% 148.64/148.60 ! [V_xo_2,V_x_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Option_Oset(T_a,V_xo_2)))
% 148.64/148.60 <=> V_xo_2 = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__refl,axiom,
% 148.64/148.60 ! [V_x,T_a] :
% 148.64/148.60 ( class_Orderings_Opreorder(T_a)
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_equalityCE,axiom,
% 148.64/148.60 ! [V_ca_2,T_a,V_B_2,V_A_2] :
% 148.64/148.60 ( V_A_2 = V_B_2
% 148.64/148.60 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) )
% 148.64/148.60 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_equalityI,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.64/148.60 => V_A_2 = V_B_2 ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_emptyE,axiom,
% 148.64/148.60 ! [V_a_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_insertCI,axiom,
% 148.64/148.60 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 148.64/148.60 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 148.64/148.60 => V_a_2 = V_b_2 )
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_insertE,axiom,
% 148.64/148.60 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 148.64/148.60 => ( V_a_2 != V_b_2
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_subsetD,axiom,
% 148.64/148.60 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_UnCI,axiom,
% 148.64/148.60 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 148.64/148.60 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) )
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_UnE,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_empty__subsetI,axiom,
% 148.64/148.60 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_DiffE,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_DiffI,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_finite__Diff,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_triple__valid__Suc,axiom,
% 148.64/148.60 ! [V_t,V_n,T_a] :
% 148.64/148.60 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 148.64/148.60 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_linorder__le__cases,axiom,
% 148.64/148.60 ! [V_y,V_x,T_a] :
% 148.64/148.60 ( class_Orderings_Olinorder(T_a)
% 148.64/148.60 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_DiffD2,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_DiffD1,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_le__funE,axiom,
% 148.64/148.60 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 148.64/148.60 ( class_Orderings_Oord(T_b)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_equalityE,axiom,
% 148.64/148.60 ! [T_a,V_B_2,V_A_2] :
% 148.64/148.60 ( V_A_2 = V_B_2
% 148.64/148.60 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_double__diff,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.64/148.60 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Diff__mono,axiom,
% 148.64/148.60 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_D_2),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__mono,axiom,
% 148.64/148.60 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__least,axiom,
% 148.64/148.60 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_xt1_I6_J,axiom,
% 148.64/148.60 ! [V_z,V_x,V_y,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_xt1_I5_J,axiom,
% 148.64/148.60 ! [V_x,V_y,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.64/148.60 => V_x = V_y ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__trans,axiom,
% 148.64/148.60 ! [V_z,V_y,V_x,T_a] :
% 148.64/148.60 ( class_Orderings_Opreorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__antisym,axiom,
% 148.64/148.60 ! [V_y,V_x,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.64/148.60 => V_x = V_y ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_xt1_I4_J,axiom,
% 148.64/148.60 ! [V_c,V_a,V_b,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.64/148.60 => ( V_b = V_c
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_ord__le__eq__trans,axiom,
% 148.64/148.60 ! [V_c,V_b,V_a,T_a] :
% 148.64/148.60 ( class_Orderings_Oord(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.64/148.60 => ( V_b = V_c
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_subset__trans,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_set__mp,axiom,
% 148.64/148.60 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_set__rev__mp,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_xt1_I3_J,axiom,
% 148.64/148.60 ! [V_c,V_b,V_a,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( V_a = V_b
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_ord__eq__le__trans,axiom,
% 148.64/148.60 ! [V_c,V_b,V_a,T_a] :
% 148.64/148.60 ( class_Orderings_Oord(T_a)
% 148.64/148.60 => ( V_a = V_b
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_eq__mem__trans,axiom,
% 148.64/148.60 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 148.64/148.60 ( V_a_2 = V_b_2
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Diff__partition,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__antisym__conv,axiom,
% 148.64/148.60 ! [V_x_2,V_y_2,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.64/148.60 <=> V_x_2 = V_y_2 ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_in__mono,axiom,
% 148.64/148.60 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_eqelem__imp__iff,axiom,
% 148.64/148.60 ! [V_A_2,T_a,V_y_2,V_x_2] :
% 148.64/148.60 ( V_x_2 = V_y_2
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.60 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_eqset__imp__iff,axiom,
% 148.64/148.60 ! [V_x_2,T_a,V_B_2,V_A_2] :
% 148.64/148.60 ( V_A_2 = V_B_2
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.60 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__absorb2,axiom,
% 148.64/148.60 ! [V_A_2,V_B_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.64/148.60 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__absorb1,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.60 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_le__funD,axiom,
% 148.64/148.60 ! [V_x_2,V_g_2,V_f_2,T_a,T_b] :
% 148.64/148.60 ( class_Orderings_Oord(T_b)
% 148.64/148.60 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_UnI2,axiom,
% 148.64/148.60 ! [V_A_2,V_B_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_UnI1,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__eq__refl,axiom,
% 148.64/148.60 ! [V_y,V_x,T_a] :
% 148.64/148.60 ( class_Orderings_Opreorder(T_a)
% 148.64/148.60 => ( V_x = V_y
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_equalityD2,axiom,
% 148.64/148.60 ! [T_a,V_B_2,V_A_2] :
% 148.64/148.60 ( V_A_2 = V_B_2
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_equalityD1,axiom,
% 148.64/148.60 ! [T_a,V_B_2,V_A_2] :
% 148.64/148.60 ( V_A_2 = V_B_2
% 148.64/148.60 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_ball__Un,axiom,
% 148.64/148.60 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( ! [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 => hBOOL(hAPP(V_P_2,B_x)) )
% 148.64/148.60 <=> ( ! [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.64/148.60 => hBOOL(hAPP(V_P_2,B_x)) )
% 148.64/148.60 & ! [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 148.64/148.60 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_bex__Un,axiom,
% 148.64/148.60 ! [V_P_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( ? [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 & hBOOL(hAPP(V_P_2,B_x)) )
% 148.64/148.60 <=> ( ? [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.64/148.60 & hBOOL(hAPP(V_P_2,B_x)) )
% 148.64/148.60 | ? [B_x] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 148.64/148.60 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__Diff,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__assoc,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Diff__subset__conv,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 148.64/148.60 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__Diff__cancel2,axiom,
% 148.64/148.60 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Diff__idemp,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__iff,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 | hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Diff__iff,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.64/148.60 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.60 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.64/148.60 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__left__commute,axiom,
% 148.64/148.60 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__left__absorb,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_Un__Diff__cancel,axiom,
% 148.64/148.60 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.64/148.60
% 148.64/148.60 fof(fact_order__eq__iff,axiom,
% 148.64/148.60 ! [V_y_2,V_x_2,T_a] :
% 148.64/148.60 ( class_Orderings_Oorder(T_a)
% 148.64/148.60 => ( V_x_2 = V_y_2
% 148.64/148.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.64/148.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_set__eq__subset,axiom,
% 148.64/148.61 ! [T_a,V_B_2,V_A_2] :
% 148.64/148.61 ( V_A_2 = V_B_2
% 148.64/148.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__Un__eq,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.61 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_linorder__linear,axiom,
% 148.64/148.61 ! [V_y,V_x,T_a] :
% 148.64/148.61 ( class_Orderings_Olinorder(T_a)
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.64/148.61 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__commute,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_mem__def,axiom,
% 148.64/148.61 ! [V_A_2,V_x_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_le__fun__def,axiom,
% 148.64/148.61 ! [V_g_2,V_f_2,T_a,T_b] :
% 148.64/148.61 ( class_Orderings_Oord(T_b)
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 148.64/148.61 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__subset,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__absorb,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__upper2,axiom,
% 148.64/148.61 ! [V_A_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__upper1,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__refl,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__Diff__if,axiom,
% 148.64/148.61 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 148.64/148.61 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.64/148.61 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) )
% 148.64/148.61 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.64/148.61 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__Diff1,axiom,
% 148.64/148.61 ! [V_A_2,V_B_2,V_x_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.64/148.61 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__subset,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_B_2))
% 148.64/148.61 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.64/148.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__insert,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 148.64/148.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 148.64/148.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_minus__fold__remove,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_diff__single__insert,axiom,
% 148.64/148.61 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2))) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__insert__iff,axiom,
% 148.64/148.61 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 148.64/148.61 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 148.64/148.61 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__one_Oeq__fold_H,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_bot__fun__def,axiom,
% 148.64/148.61 ! [V_x_2,T_b,T_a] :
% 148.64/148.61 ( class_Orderings_Obot(T_a)
% 148.64/148.61 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_union__fold__insert,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)),V_B_2),V_A_2) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__Diff,axiom,
% 148.64/148.61 ! [V_A_2,V_a_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = V_A_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__insert__absorb,axiom,
% 148.64/148.61 ! [V_A_2,V_x_2,T_a] :
% 148.64/148.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__one_Oremove,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 148.64/148.61 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => 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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fold__empty,axiom,
% 148.64/148.61 ! [V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__cancel,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__empty,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 148.64/148.61
% 148.64/148.61 fof(fact_empty__Diff,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_finite__Diff2,axiom,
% 148.64/148.61 ! [V_A_2,V_B_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.64/148.61 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__empty,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__empty__right,axiom,
% 148.64/148.61 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__empty__left,axiom,
% 148.64/148.61 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 148.64/148.61
% 148.64/148.61 fof(fact_finite__Un,axiom,
% 148.64/148.61 ! [V_Ga_2,V_F_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2)))
% 148.64/148.61 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.64/148.61 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_finite__UnI,axiom,
% 148.64/148.61 ! [V_Ga_2,V_F_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2))
% 148.64/148.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_map__comp__def,axiom,
% 148.64/148.61 ! [V_k_2,V_g_2,V_f_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_f_2,V_g_2,V_k_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_b,c_Option_Ooption_ONone(T_a),V_f_2),hAPP(V_g_2,V_k_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_map__comp__empty_I1_J,axiom,
% 148.64/148.61 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b)),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_map__comp__empty_I2_J,axiom,
% 148.64/148.61 ! [V_x_2,V_m_2,T_c,T_a,T_b] : c_Map_Omap__comp(T_b,T_a,T_c,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_m_2,V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__insert__left,axiom,
% 148.64/148.61 ! [V_C_2,V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Un__insert__right,axiom,
% 148.64/148.61 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_bot__least,axiom,
% 148.64/148.61 ! [V_x,T_a] :
% 148.64/148.61 ( class_Orderings_Obot(T_a)
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_equals0D,axiom,
% 148.64/148.61 ! [V_a_2,T_a,V_A_2] :
% 148.64/148.61 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_empty__iff,axiom,
% 148.64/148.61 ! [V_ca_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_ex__in__conv,axiom,
% 148.64/148.61 ! [V_A_2,T_a] :
% 148.64/148.61 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.64/148.61 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_all__not__in__conv,axiom,
% 148.64/148.61 ! [V_A_2,T_a] :
% 148.64/148.61 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.64/148.61 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__empty,axiom,
% 148.64/148.61 ! [V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 148.64/148.61 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_rev__finite__subset,axiom,
% 148.64/148.61 ! [V_A_2,V_B_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_finite__subset,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.64/148.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__absorb,axiom,
% 148.64/148.61 ! [V_A_2,V_a_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = V_A_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insertI2,axiom,
% 148.64/148.61 ! [V_b_2,V_B_2,V_a_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__ident,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,V_x_2,T_a] :
% 148.64/148.61 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.64/148.61 => ( hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)
% 148.64/148.61 <=> V_A_2 = V_B_2 ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__iff,axiom,
% 148.64/148.61 ! [V_A_2,V_b_2,V_a_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)))
% 148.64/148.61 <=> ( V_a_2 = V_b_2
% 148.64/148.61 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insertI1,axiom,
% 148.64/148.61 ! [V_B_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__mono,axiom,
% 148.64/148.61 ! [V_a_2,V_D_2,V_C_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_D_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__insertI2,axiom,
% 148.64/148.61 ! [V_b_2,V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_B_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__insertI,axiom,
% 148.64/148.61 ! [V_a_2,V_B_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_thin,axiom,
% 148.64/148.61 ! [V_Ga_2,V_ts_2,V_G_H_2,T_a] :
% 148.64/148.61 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_G_H_2,V_ts_2)
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 148.64/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_weaken,axiom,
% 148.64/148.61 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_a] :
% 148.64/148.61 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_H_2)
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 148.64/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_asm,axiom,
% 148.64/148.61 ! [V_Ga_2,V_ts_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 148.64/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,V_ts_2) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_dom__eq__empty__conv,axiom,
% 148.64/148.61 ! [V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Map_Odom(T_a,T_b,V_f_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 <=> V_f_2 = hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_dom__empty,axiom,
% 148.64/148.61 ! [T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__one_Oinsert__remove,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.64/148.61 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),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_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__one_Oinsert,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_MGT__def,axiom,
% 148.64/148.61 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__Diff__single,axiom,
% 148.64/148.61 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__insert2,axiom,
% 148.64/148.61 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_Diff__insert,axiom,
% 148.64/148.61 ! [V_B_2,V_a_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_finite__Diff__insert,axiom,
% 148.64/148.61 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))))
% 148.64/148.61 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_insert__is__Un,axiom,
% 148.64/148.61 ! [V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_A_2) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fold1Set__nonempty,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_f_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2),V_x_2))
% 148.64/148.61 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_empty__fold1SetE,axiom,
% 148.64/148.61 ! [V_x_2,V_f_2,T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2)) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_singletonE,axiom,
% 148.64/148.61 ! [V_a_2,V_b_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 148.64/148.61 => V_b_2 = V_a_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_singleton__iff,axiom,
% 148.64/148.61 ! [V_a_2,V_b_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 148.64/148.61 <=> V_b_2 = V_a_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_subset__singletonD,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 148.64/148.61 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.64/148.61 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_domIff,axiom,
% 148.64/148.61 ! [V_m_2,T_b,V_a_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Map_Odom(T_a,T_b,V_m_2)))
% 148.64/148.61 <=> hAPP(V_m_2,V_a_2) != c_Option_Ooption_ONone(T_b) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_domI,axiom,
% 148.64/148.61 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 148.64/148.61 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__one__idem_Oin__idem,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_MGT__alternI,axiom,
% 148.64/148.61 ! [V_ca_2,V_Ga_2] :
% 148.64/148.61 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 148.64/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,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)),tc_Com_Ostate),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)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.64/148.61 => 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)) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 148.64/148.61 => 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) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 148.64/148.61 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__image__simple__idem(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.64/148.61 => 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) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup__le__fold__sup,axiom,
% 148.64/148.61 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 148.64/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.64/148.61 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fold__sup__insert,axiom,
% 148.64/148.61 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 148.64/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_b_2),V_A_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 148.64/148.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.64/148.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup1E,axiom,
% 148.64/148.61 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 148.64/148.61 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 148.64/148.61 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup1CI,axiom,
% 148.64/148.61 ! [T_a,V_A_2,V_x_2,V_B_2] :
% 148.64/148.61 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 148.64/148.61 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 148.64/148.61 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__image__simple_Oremove,axiom,
% 148.64/148.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.64/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 148.64/148.61 => 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_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)))))) ) ) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fun__diff__def,axiom,
% 148.64/148.61 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 148.64/148.61 ( class_Groups_Ominus(T_a)
% 148.64/148.61 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup__fun__def,axiom,
% 148.64/148.61 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( class_Lattices_Olattice(T_a)
% 148.64/148.61 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup__Un__eq,axiom,
% 148.64/148.61 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 148.64/148.61 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_pred__subset__eq,axiom,
% 148.64/148.61 ! [V_S_2,V_R_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))
% 148.64/148.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 148.64/148.61 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.64/148.61 => 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)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 148.64/148.61 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.64/148.61 => c_Finite__Set_Ofun__left__comm(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_folding__image__simple_Oempty,axiom,
% 148.64/148.61 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.64/148.61 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.64/148.61 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_eq__mem,axiom,
% 148.64/148.61 ! [V_y_2,V_x_2,T_a] :
% 148.64/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_fequal,V_y_2)))
% 148.64/148.61 <=> V_x_2 = V_y_2 ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup__assoc,axiom,
% 148.64/148.61 ! [V_z,V_y,V_x,T_a] :
% 148.64/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.64/148.61 => 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)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_inf__sup__aci_I6_J,axiom,
% 148.64/148.61 ! [V_z,V_y,V_x,T_a] :
% 148.64/148.61 ( class_Lattices_Olattice(T_a)
% 148.64/148.61 => 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)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup_Oassoc,axiom,
% 148.64/148.61 ! [V_c,V_b,V_a,T_a] :
% 148.64/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.64/148.61 => 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)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_sup__left__commute,axiom,
% 148.64/148.61 ! [V_z,V_y,V_x,T_a] :
% 148.64/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.64/148.61 => 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)) ) ).
% 148.64/148.61
% 148.64/148.61 fof(fact_inf__sup__aci_I7_J,axiom,
% 148.64/148.61 ! [V_z,V_y,V_x,T_a] :
% 148.64/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => 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)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup_Oleft__commute,axiom,
% 148.71/148.61 ! [V_c,V_a,V_b,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__left__idem,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_inf__sup__aci_I8_J,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup_Oleft__idem,axiom,
% 148.71/148.61 ! [V_b,V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__commute,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_inf__sup__aci_I5_J,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup_Ocommute,axiom,
% 148.71/148.61 ! [V_b,V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__idem,axiom,
% 148.71/148.61 ! [V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_Sup__fin_Oidem,axiom,
% 148.71/148.61 ! [V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup_Oidem,axiom,
% 148.71/148.61 ! [V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_predicate1D,axiom,
% 148.71/148.61 ! [V_x_2,V_Q_2,V_P_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 148.71/148.61 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 148.71/148.61 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_rev__predicate1D,axiom,
% 148.71/148.61 ! [V_Q_2,T_a,V_x_2,V_P_2] :
% 148.71/148.61 ( hBOOL(hAPP(V_P_2,V_x_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_P_2),V_Q_2))
% 148.71/148.61 => hBOOL(hAPP(V_Q_2,V_x_2)) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 148.71/148.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup1I2,axiom,
% 148.71/148.61 ! [V_A_2,T_a,V_x_2,V_B_2] :
% 148.71/148.61 ( hBOOL(hAPP(V_B_2,V_x_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup1I1,axiom,
% 148.71/148.61 ! [V_B_2,T_a,V_x_2,V_A_2] :
% 148.71/148.61 ( hBOOL(hAPP(V_A_2,V_x_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_pred__equals__eq,axiom,
% 148.71/148.61 ! [V_S_2,V_R_2,T_a] :
% 148.71/148.61 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)
% 148.71/148.61 <=> V_R_2 = V_S_2 ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_folding__image__simple_Oinsert,axiom,
% 148.71/148.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.71/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 148.71/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 148.71/148.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 148.71/148.61 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__supE,axiom,
% 148.71/148.61 ! [V_x,V_b,V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( 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))
% 148.71/148.61 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.71/148.61 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__mono,axiom,
% 148.71/148.61 ! [V_d,V_b,V_c,V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 148.71/148.61 => 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))) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__least,axiom,
% 148.71/148.61 ! [V_z,V_x,V_y,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 148.71/148.61 => 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)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__supI,axiom,
% 148.71/148.61 ! [V_b,V_x,V_a,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 148.71/148.61 => 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)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__absorb1,axiom,
% 148.71/148.61 ! [V_x,V_y,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__absorb2,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__supI2,axiom,
% 148.71/148.61 ! [V_a,V_b,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 148.71/148.61 => 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))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__supI1,axiom,
% 148.71/148.61 ! [V_b,V_a,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.71/148.61 => 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))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__sup__iff,axiom,
% 148.71/148.61 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2)),V_z_2))
% 148.71/148.61 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 148.71/148.61 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_le__iff__sup,axiom,
% 148.71/148.61 ! [V_y_2,V_x_2,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.71/148.61 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__ge2,axiom,
% 148.71/148.61 ! [V_x,V_y,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_inf__sup__ord_I4_J,axiom,
% 148.71/148.61 ! [V_x,V_y,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => 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))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__ge1,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Osemilattice__sup(T_a)
% 148.71/148.61 => 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))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_inf__sup__ord_I3_J,axiom,
% 148.71/148.61 ! [V_y,V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => 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))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__bot__left,axiom,
% 148.71/148.61 ! [V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Obounded__lattice__bot(T_a)
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__bot__right,axiom,
% 148.71/148.61 ! [V_x,T_a] :
% 148.71/148.61 ( class_Lattices_Obounded__lattice__bot(T_a)
% 148.71/148.61 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__eq__bot__iff,axiom,
% 148.71/148.61 ! [V_y_2,V_x_2,T_a] :
% 148.71/148.61 ( class_Lattices_Obounded__lattice__bot(T_a)
% 148.71/148.61 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_a)
% 148.71/148.61 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_a)
% 148.71/148.61 & V_y_2 = c_Orderings_Obot__class_Obot(T_a) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_sup__apply,axiom,
% 148.71/148.61 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_minus__apply,axiom,
% 148.71/148.61 ! [V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 148.71/148.61 ( class_Groups_Ominus(T_a)
% 148.71/148.61 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,T_a)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 148.71/148.61 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.71/148.61 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),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_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)))))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 148.71/148.61 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_bot__empty__eq,axiom,
% 148.71/148.61 ! [V_x_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_x_2))
% 148.71/148.61 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_Body1,axiom,
% 148.71/148.61 ! [V_pn_2,V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] :
% 148.71/148.61 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procs_2))
% 148.71/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(V_P_2,V_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Q_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_Sup__fin_Oremove,axiom,
% 148.71/148.61 ! [V_x_2,V_A_2,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.61 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = V_x_2 )
% 148.71/148.61 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.61 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_diff__eq__diff__less__eq,axiom,
% 148.71/148.61 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.71/148.61 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.71/148.61 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 148.71/148.61 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_folding__one_Oclosed,axiom,
% 148.71/148.61 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 148.71/148.61 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.61 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.71/148.61 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_,axiom,
% 148.71/148.61 ! [V_y_2,V_x_2,T_a] : c_Smallcheck_Oorelse(T_a,V_x_2,V_y_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,V_y_2,c_Option_Ooption_OSome(T_a)),V_x_2) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_SUPR__fold__sup,axiom,
% 148.71/148.61 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.71/148.61 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_Body__sound__lemma,axiom,
% 148.71/148.61 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] :
% 148.71/148.61 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 148.71/148.61 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_finite__empty__induct,axiom,
% 148.71/148.61 ! [V_P_2,V_A_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(V_P_2,V_A_2))
% 148.71/148.61 => ( ! [B_a,B_A] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_A))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A))
% 148.71/148.61 => ( hBOOL(hAPP(V_P_2,B_A))
% 148.71/148.61 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_a),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) )
% 148.71/148.61 => hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_finite__subset__induct,axiom,
% 148.71/148.61 ! [V_P_2,V_A_2,V_F_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 148.71/148.61 => ( ! [B_a,B_F] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 148.71/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_F))
% 148.71/148.61 => ( hBOOL(hAPP(V_P_2,B_F))
% 148.71/148.61 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_F))) ) ) ) )
% 148.71/148.61 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_escape,axiom,
% 148.71/148.61 ! [V_Q_2,V_ca_2,V_Ga_2,T_a,V_P_2] :
% 148.71/148.61 ( ! [B_Z,B_s] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 148.71/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ostate,tc_HOL_Obool),c_fequal),B_s))),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(V_Q_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) )
% 148.71/148.61 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 148.71/148.61 ! [V_x_2,V_A_2,T_a] :
% 148.71/148.61 ( class_Lattices_Olattice(T_a)
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_SUP1__I,axiom,
% 148.71/148.61 ! [T_b,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_SUP2__I,axiom,
% 148.71/148.61 ! [T_c,T_b,V_ca_2,V_b_2,V_B_2,V_A_2,V_a_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_image__eqI,axiom,
% 148.71/148.61 ! [T_a,V_A_2,T_b,V_x_2,V_f_2,V_b_2] :
% 148.71/148.61 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 148.71/148.61 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_finite__imageI,axiom,
% 148.71/148.61 ! [V_h_2,T_b,V_F_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.71/148.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_h_2),V_F_2))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_image__image,axiom,
% 148.71/148.61 ! [V_A_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_c,T_a,hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_f_2),V_g_2)),V_A_2) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_finite__UN,axiom,
% 148.71/148.61 ! [V_B_2,T_b,V_A_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.61 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.71/148.61 <=> ! [B_x] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.71/148.61 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) ) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_rev__image__eqI,axiom,
% 148.71/148.61 ! [T_b,V_f_2,V_b_2,V_A_2,V_x_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 148.71/148.61 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_imageI,axiom,
% 148.71/148.61 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 148.71/148.61 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.61 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))) ) ).
% 148.71/148.61
% 148.71/148.61 fof(fact_image__iff,axiom,
% 148.71/148.61 ! [V_A_2,V_f_2,T_b,V_z_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 148.71/148.62 <=> ? [B_x] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.71/148.62 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__is__empty,axiom,
% 148.71/148.62 ! [V_A_2,V_f_2,T_a,T_b] :
% 148.71/148.62 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__empty,axiom,
% 148.71/148.62 ! [V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_empty__is__image,axiom,
% 148.71/148.62 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.71/148.62 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)
% 148.71/148.62 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__insert,axiom,
% 148.71/148.62 ! [V_B_2,V_a_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__mono,axiom,
% 148.71/148.62 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.71/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_subset__image__iff,axiom,
% 148.71/148.62 ! [V_A_2,V_f_2,T_b,V_B_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 148.71/148.62 <=> ? [B_AA] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_AA),V_A_2))
% 148.71/148.62 & V_B_2 = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),B_AA) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__Un,axiom,
% 148.71/148.62 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_insert__image,axiom,
% 148.71/148.62 ! [V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.62 => hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_finite__surj,axiom,
% 148.71/148.62 ! [V_f_2,V_B_2,T_b,V_A_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 148.71/148.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__diff__subset,axiom,
% 148.71/148.62 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__constant__conv,axiom,
% 148.71/148.62 ! [V_ca_2,T_b,T_a,V_A_2] :
% 148.71/148.62 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 148.71/148.62 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Osingleton,axiom,
% 148.71/148.62 ! [V_x_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_image__constant,axiom,
% 148.71/148.62 ! [V_ca_2,T_b,V_A_2,V_x_2,T_a] :
% 148.71/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(c_COMBK(T_b,T_a),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_diff__eq__diff__eq,axiom,
% 148.71/148.62 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.71/148.62 ( class_Groups_Oab__group__add(T_a)
% 148.71/148.62 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 148.71/148.62 => ( V_a_2 = V_b_2
% 148.71/148.62 <=> V_ca_2 = V_d_2 ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Oin__idem,axiom,
% 148.71/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 148.71/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Osubset__idem,axiom,
% 148.71/148.62 ! [V_B_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.71/148.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) ) ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Ounion__idem,axiom,
% 148.71/148.62 ! [V_B_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.71/148.62 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 148.71/148.62 ! [V_a_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_a_2),V_A_2) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_sup__SUPR__fold__sup,axiom,
% 148.71/148.62 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.71/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Oinsert,axiom,
% 148.71/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.71/148.62 ( class_Lattices_Olattice(T_a)
% 148.71/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.71/148.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.71/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.71/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) ) ) ) ) ).
% 148.71/148.62
% 148.71/148.62 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( class_Lattices_Olattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.62 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_hoare__derivs_OBody,axiom,
% 148.73/148.62 ! [V_Procs_2,V_Q_2,V_P_2,V_Ga_2,T_a] :
% 148.73/148.62 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)),V_Ga_2),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),V_Q_2)),V_Procs_2))
% 148.73/148.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(T_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(T_a)),V_P_2)),c_Com_Ocom_OBODY)),V_Q_2)),V_Procs_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_image__eq__UN,axiom,
% 148.73/148.62 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__I,axiom,
% 148.73/148.62 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_le__SUPI,axiom,
% 148.73/148.62 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_M_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP__subset,axiom,
% 148.73/148.62 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_B_2),V_f_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_finite__pointwise,axiom,
% 148.73/148.62 ! [V_Q_2,V_P_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_b,V_U_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_U_2))
% 148.73/148.62 => ( ! [B_p] :
% 148.73/148.62 ( 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(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_b),tc_HOL_Obool))))
% 148.73/148.62 => 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(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_b),tc_HOL_Obool)))) )
% 148.73/148.62 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 148.73/148.62 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(c_Set_Oimage(T_a,tc_Hoare__Mirabelle_Otriple(T_b),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_b))),T_a),c_Hoare__Mirabelle_Otriple_Otriple(T_b)),V_P_2)),V_c0_2)),V_Q_2)),V_U_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP__const,axiom,
% 148.73/148.62 ! [V_M_2,T_a,V_A_2,T_b] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__insert,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I2_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I3_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I2_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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)) )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_ball__UN,axiom,
% 148.73/148.62 ! [V_P_2,V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.62 ( ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.62 => hBOOL(hAPP(V_P_2,B_x)) )
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 => ! [B_xa] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(V_B_2,B_x)))
% 148.73/148.62 => hBOOL(hAPP(V_P_2,B_xa)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__UN__flatten,axiom,
% 148.73/148.62 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I9_J,axiom,
% 148.73/148.62 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I9_J,axiom,
% 148.73/148.62 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),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_C_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP1__iff,axiom,
% 148.73/148.62 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 148.73/148.62 <=> ? [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.62 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP2__iff,axiom,
% 148.73/148.62 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 148.73/148.62 <=> ? [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.62 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__iff,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.62 <=> ? [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 & hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UNION__empty__conv_I1_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.62 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__empty2,axiom,
% 148.73/148.62 ! [V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__constant,axiom,
% 148.73/148.62 ! [V_ca_2,T_b,T_a,V_A_2] :
% 148.73/148.62 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 148.73/148.62 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UNION__empty__conv_I2_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.62 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__subset__iff,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I10_J,axiom,
% 148.73/148.62 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_image__UN,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_c,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Oimage(T_b,T_a,V_f_2)),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I10_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__Un,axiom,
% 148.73/148.62 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__Un__distrib,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP__commute,axiom,
% 148.73/148.62 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUPR__apply,axiom,
% 148.73/148.62 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I6_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I6_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__insert__distrib,axiom,
% 148.73/148.62 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__upper,axiom,
% 148.73/148.62 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__absorb,axiom,
% 148.73/148.62 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 148.73/148.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I1_J,axiom,
% 148.73/148.62 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__singleton,axiom,
% 148.73/148.62 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_A_2 ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I1_J,axiom,
% 148.73/148.62 ! [V_B_2,V_a_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_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))) )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_SUP__le__iff,axiom,
% 148.73/148.62 ! [V_u_2,V_M_2,V_A_2,T_b,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_M_2)),V_u_2))
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I3_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.62 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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)) )
% 148.73/148.62 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__fin_Oclosed,axiom,
% 148.73/148.62 ! [V_A_2,T_a] :
% 148.73/148.62 ( class_Lattices_Olattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__fin_Ohom__commute,axiom,
% 148.73/148.62 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.62 ( class_Lattices_Olattice(T_a)
% 148.73/148.62 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.62 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_image__eq__fold__image,axiom,
% 148.73/148.62 ! [V_f_2,T_b,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_b,tc_HOL_Obool),T_a,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,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_a),c_Set_Oinsert(T_b)),V_f_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))),V_A_2) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__fold__sup,axiom,
% 148.73/148.62 ! [V_A_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),c_Orderings_Obot__class_Obot(T_a)),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_the__elem__def,axiom,
% 148.73/148.62 ! [V_X_2,T_a] : c_Set_Othe__elem(T_a,V_X_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_OBody,axiom,
% 148.73/148.62 ! [V_s1,V_n,V_s0,V_pn] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_n),V_s1))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),hAPP(c_Nat_OSuc,V_n)),V_s1)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Option_Omap__def,axiom,
% 148.73/148.62 ! [V_f_2,T_b,T_a] : hAPP(c_Option_Omap(T_a,T_b),V_f_2) = c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_b),T_a,c_Option_Ooption_ONone(T_b),hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Suc__Diff1,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 148.73/148.62 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofolding__one__idem(T_a,V_f_2,V_F_2)
% 148.73/148.62 => ( ! [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))
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.62 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem__remove,axiom,
% 148.73/148.62 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UnionI,axiom,
% 148.73/148.62 ! [V_A_2,V_C_2,V_X_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_OSemi,axiom,
% 148.73/148.62 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_OSkip,axiom,
% 148.73/148.62 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln__elim__cases_I1_J,axiom,
% 148.73/148.62 ! [V_t,V_n,V_s] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t))
% 148.73/148.62 => V_t = V_s ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln__nonstrict,axiom,
% 148.73/148.62 ! [V_m,V_t,V_n,V_s,V_c] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 148.73/148.62 ! [V_z_2,V_x_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 148.73/148.62 => 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) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 148.73/148.62 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 148.73/148.62 => c_Finite__Set_Ofun__left__comm__idem(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__empty,axiom,
% 148.73/148.62 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_finite__UnionD,axiom,
% 148.73/148.62 ! [V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))
% 148.73/148.62 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__upper,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__mono,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln__Suc,axiom,
% 148.73/148.62 ! [V_s_H,V_n,V_s,V_c] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__Un__distrib,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Un__eq__Union,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__insert,axiom,
% 148.73/148.62 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_eval__eq,axiom,
% 148.73/148.62 ! [V_t_2,V_s_2,V_ca_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2))
% 148.73/148.62 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln__evalc,axiom,
% 148.73/148.62 ! [V_t,V_n,V_s,V_c] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fold__image__empty,axiom,
% 148.73/148.62 ! [V_z_2,V_g_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_z_2 ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_Oequations_I4_J,axiom,
% 148.73/148.62 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2))
% 148.73/148.62 <=> ? [B_s1] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1))
% 148.73/148.62 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_Oequations_I1_J,axiom,
% 148.73/148.62 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_image__Union,axiom,
% 148.73/148.62 ! [V_S_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),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_a,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_b,T_a,V_f_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__image__eq,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UNION__eq__Union__image,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__extend__simps_I8_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_UN__simps_I8_J,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_option__map__None,axiom,
% 148.73/148.62 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),c_Option_Ooption_ONone(T_b)) = c_Option_Ooption_ONone(T_a) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_option__map__is__None,axiom,
% 148.73/148.62 ! [V_opt_2,V_f_2,T_a,T_b] :
% 148.73/148.62 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_opt_2) = c_Option_Ooption_ONone(T_a)
% 148.73/148.62 <=> V_opt_2 = c_Option_Ooption_ONone(T_b) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_option__map__Some,axiom,
% 148.73/148.62 ! [V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(c_Option_Ooption_OSome(T_a),hAPP(V_f_2,V_x_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_option__map__eq__Some,axiom,
% 148.73/148.62 ! [V_y_2,V_xo_2,V_f_2,T_a,T_b] :
% 148.73/148.62 ( hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),V_xo_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 148.73/148.62 <=> ? [B_z] :
% 148.73/148.62 ( V_xo_2 = hAPP(c_Option_Ooption_OSome(T_b),B_z)
% 148.73/148.62 & hAPP(V_f_2,B_z) = V_y_2 ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__le__iff,axiom,
% 148.73/148.62 ! [V_b_2,V_A_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)),V_b_2))
% 148.73/148.62 <=> ! [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fold__image__def,axiom,
% 148.73/148.62 ! [V_g_2,V_f_2,T_b,T_a] : hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_b,T_a,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),V_f_2),V_g_2)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem__insert,axiom,
% 148.73/148.62 ! [T_a] : c_Finite__Set_Ofun__left__comm__idem(T_a,tc_fun(T_a,tc_HOL_Obool),c_Set_Oinsert(T_a)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__insert__le,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__mono,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__seteq,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)))
% 148.73/148.62 => V_A_2 = V_B_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__image__le,axiom,
% 148.73/148.62 ! [V_f_2,T_b,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__card__le__card__Diff,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.62 => 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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem__sup,axiom,
% 148.73/148.62 ! [T_a] :
% 148.73/148.62 ( class_Lattices_Osemilattice__sup(T_a)
% 148.73/148.62 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_dom__option__map,axiom,
% 148.73/148.62 ! [V_m_2,V_f_2,T_c,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b)),T_a),c_Option_Omap(T_c,T_b)),V_f_2)),V_m_2)) = c_Map_Odom(T_a,T_c,V_m_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Un__Union__image,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_triple__valid__def2,axiom,
% 148.73/148.62 ! [V_Q_2,V_ca_2,V_P_2,V_n_2,T_a] :
% 148.73/148.62 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),V_ca_2),V_Q_2))
% 148.73/148.62 <=> ! [B_Z,B_s] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(V_P_2,B_Z),B_s))
% 148.73/148.62 => ! [B_s_H] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),B_s),V_n_2),B_s_H))
% 148.73/148.62 => hBOOL(hAPP(hAPP(V_Q_2,B_Z),B_s_H)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 148.73/148.62 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.62 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__upper,axiom,
% 148.73/148.62 ! [V_A_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff__subset,axiom,
% 148.73/148.62 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__empty,axiom,
% 148.73/148.62 ! [T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__singleton,axiom,
% 148.73/148.62 ! [V_a_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__insert,axiom,
% 148.73/148.62 ! [V_A_2,V_a_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__insert__disjoint,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__insert__if,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) )
% 148.73/148.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff1__le,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__binary,axiom,
% 148.73/148.62 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),V_b_2) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_triple__valid__def,axiom,
% 148.73/148.62 ! [V_t_2,V_n_2,T_a] :
% 148.73/148.62 ( c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,V_t_2)
% 148.73/148.62 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_a,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),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_a),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,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_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),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)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_n_2))))))))),V_t_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_sup__Sup__fold__sup,axiom,
% 148.73/148.62 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_B_2),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Sup__fin__Sup,axiom,
% 148.73/148.62 ! [V_A_2,T_a] :
% 148.73/148.62 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.62 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__insert,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_Oequations_I9_J,axiom,
% 148.73/148.62 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),hAPP(c_Nat_OSuc,V_a3_2)),V_a4_2))
% 148.73/148.62 <=> hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_a1_2))),V_a2_2),V_a3_2),V_a4_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 148.73/148.62 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 148.73/148.62 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 148.73/148.62 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln__elim__cases_I6_J,axiom,
% 148.73/148.62 ! [V_s1,V_n,V_s,V_P] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_n),V_s1))
% 148.73/148.62 => ~ ! [B_n] :
% 148.73/148.62 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),B_n),V_s1)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_comm__monoid__big_OF__eq,axiom,
% 148.73/148.62 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 148.73/148.62 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.62 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) )
% 148.73/148.62 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.62 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_flat__lub__def,axiom,
% 148.73/148.62 ! [V_b_2,V_A_2,T_a] :
% 148.73/148.62 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 148.73/148.62 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = V_b_2 )
% 148.73/148.62 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))
% 148.73/148.62 => c_Partial__Function_Oflat__lub(T_a,V_b_2,V_A_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff__singleton__if,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 148.73/148.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff__singleton,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff2__less,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff1__less,axiom,
% 148.73/148.62 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_a),V_A_2))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_dom__eq__singleton__conv,axiom,
% 148.73/148.62 ! [V_x_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Map_Odom(T_a,T_b,V_f_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 148.73/148.62 <=> ? [B_v] : V_f_2 = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),B_v)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_LoopF,axiom,
% 148.73/148.62 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] : c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),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_ca_2)),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_the__eq__trivial,axiom,
% 148.73/148.62 ! [V_a_2,T_a] : c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_OWhileFalse,axiom,
% 148.73/148.62 ! [V_n_2,V_ca_2,V_s_2,V_b_2] :
% 148.73/148.62 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_s_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_OWhileTrue,axiom,
% 148.73/148.62 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_b_2] :
% 148.73/148.62 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_n_2),V_s1_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_n_2),V_s2_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_n_2),V_s2_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evalc_OWhileTrue,axiom,
% 148.73/148.62 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] :
% 148.73/148.62 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evalc_OWhileFalse,axiom,
% 148.73/148.62 ! [V_ca_2,V_s_2,V_b_2] :
% 148.73/148.62 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_WTs__elim__cases_I6_J,axiom,
% 148.73/148.62 ! [V_ca_2,V_b_2] :
% 148.73/148.62 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2)))
% 148.73/148.62 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Union__def,axiom,
% 148.73/148.62 ! [V_S_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_one__reorient,axiom,
% 148.73/148.62 ! [V_x_2,T_a] :
% 148.73/148.62 ( class_Groups_Oone(T_a)
% 148.73/148.62 => ( c_Groups_Oone__class_Oone(T_a) = V_x_2
% 148.73/148.62 <=> V_x_2 = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__irrefl,axiom,
% 148.73/148.62 ! [V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__neq__iff,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( V_x_2 != V_y_2
% 148.73/148.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_not__less__iff__gr__or__eq,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 148.73/148.62 | V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__less__linear,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 | V_x = V_y
% 148.73/148.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I5_J,axiom,
% 148.73/148.62 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 148.73/148.62 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 148.73/148.62 <=> ( V_fun_2 = V_fun_H_2
% 148.73/148.62 & V_com_2 = V_com_H_2 ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__antisym__conv3,axiom,
% 148.73/148.62 ! [V_x_2,V_y_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2))
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__neqE,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( V_x != V_y
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__imp__neq,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => V_x != V_y ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__not__sym,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__imp__not__less,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__imp__not__eq,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => V_x != V_y ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__imp__not__eq2,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => V_y != V_x ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__asym_H,axiom,
% 148.73/148.62 ! [V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I9_J,axiom,
% 148.73/148.62 ! [V_a,V_b,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_ord__eq__less__trans,axiom,
% 148.73/148.62 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oord(T_a)
% 148.73/148.62 => ( V_a = V_b
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I1_J,axiom,
% 148.73/148.62 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( V_a = V_b
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_ord__less__eq__trans,axiom,
% 148.73/148.62 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oord(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.62 => ( V_b = V_c
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I2_J,axiom,
% 148.73/148.62 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.62 => ( V_b = V_c
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__trans,axiom,
% 148.73/148.62 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I10_J,axiom,
% 148.73/148.62 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__asym,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__cases,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ( V_x != V_y
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__not__less,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__not__le,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_x_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__le__less__linear,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.62 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__le,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 & V_x_2 != V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__le__not__le,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__le__less,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 | V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_leI,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_not__leE,axiom,
% 148.73/148.62 ! [V_x,V_y,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__antisym__conv1,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__neq__le__trans,axiom,
% 148.73/148.62 ! [V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( V_a != V_b
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I12_J,axiom,
% 148.73/148.62 ! [V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( V_a != V_b
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_leD,axiom,
% 148.73/148.62 ! [V_x,V_y,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.62 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__imp__le,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_linorder__antisym__conv2,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.62 ( class_Orderings_Olinorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_y_2))
% 148.73/148.62 <=> V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__le__imp__less__or__eq,axiom,
% 148.73/148.62 ! [V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 | V_x = V_y ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__le__neq__trans,axiom,
% 148.73/148.62 ! [V_b,V_a,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.62 => ( V_a != V_b
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I11_J,axiom,
% 148.73/148.62 ! [V_a,V_b,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.62 => ( V_a != V_b
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__less__le__trans,axiom,
% 148.73/148.62 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I7_J,axiom,
% 148.73/148.62 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_order__le__less__trans,axiom,
% 148.73/148.62 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.62 ( class_Orderings_Opreorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_xt1_I8_J,axiom,
% 148.73/148.62 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.62 ( class_Orderings_Oorder(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__eq__diff__less,axiom,
% 148.73/148.62 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.62 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.62 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_ca_2),V_d_2)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__supI2,axiom,
% 148.73/148.62 ! [V_a,V_b,V_x,T_a] :
% 148.73/148.62 ( class_Lattices_Osemilattice__sup(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 148.73/148.62 => 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))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__supI1,axiom,
% 148.73/148.62 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.62 ( class_Lattices_Osemilattice__sup(T_a)
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 148.73/148.62 => 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))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_map__upd__eqD1,axiom,
% 148.73/148.62 ! [V_y_2,V_n_2,V_x_2,V_a_2,V_m_2,T_b,T_a] :
% 148.73/148.62 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_n_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))
% 148.73/148.62 => V_x_2 = V_y_2 ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_map__upd__triv,axiom,
% 148.73/148.62 ! [T_b,V_x_2,T_a,V_k_2,V_t_2] :
% 148.73/148.62 ( hAPP(V_t_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 148.73/148.62 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_a),V_x_2)) = V_t_2 ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_map__upd__Some__unfold,axiom,
% 148.73/148.62 ! [V_y_2,V_x_2,V_b_2,V_a_2,V_m_2,T_a,T_b] :
% 148.73/148.62 ( hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 148.73/148.62 <=> ( ( V_x_2 = V_a_2
% 148.73/148.62 & V_b_2 = V_y_2 )
% 148.73/148.62 | ( V_x_2 != V_a_2
% 148.73/148.62 & hAPP(V_m_2,V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 148.73/148.62 ! [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) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__Sup__iff,axiom,
% 148.73/148.62 ! [V_S_2,V_a_2,T_a] :
% 148.73/148.62 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 & class_Orderings_Olinorder(T_a) )
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_a,V_S_2)))
% 148.73/148.62 <=> ? [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 148.73/148.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),B_x)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_Oequations_I7_J,axiom,
% 148.73/148.62 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.62 => ? [B_s1] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 148.73/148.62 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evaln_Oequations_I8_J,axiom,
% 148.73/148.62 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2))
% 148.73/148.62 <=> ( ( V_a6_2 = V_a2_2
% 148.73/148.62 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 148.73/148.62 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.62 & ? [B_s1] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 148.73/148.62 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evalc_Oequations_I8_J,axiom,
% 148.73/148.62 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 148.73/148.62 <=> ( ( V_a5_2 = V_a2_2
% 148.73/148.62 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 148.73/148.62 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.62 & ? [B_s1] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 148.73/148.62 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_evalc_Oequations_I7_J,axiom,
% 148.73/148.62 ! [V_a2_2,V_a3_2,V_a1_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 148.73/148.62 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.62 => ? [B_s1] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 148.73/148.62 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_WT_Oequations_I6_J,axiom,
% 148.73/148.62 ! [V_a1_2,V_a2_2] :
% 148.73/148.62 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2)))
% 148.73/148.62 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_While,axiom,
% 148.73/148.62 ! [V_b_2,V_ca_2] :
% 148.73/148.62 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 148.73/148.62 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I59_J,axiom,
% 148.73/148.62 ! [V_com_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I58_J,axiom,
% 148.73/148.62 ! [V_pname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I46_J,axiom,
% 148.73/148.62 ! [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) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I47_J,axiom,
% 148.73/148.62 ! [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) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I60_J,axiom,
% 148.73/148.62 ! [V_fun_H_2,V_pname_H_2,V_vname_H_2,V_com_2,V_fun_2] : c_Com_Ocom_OWhile(V_fun_2,V_com_2) != c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I61_J,axiom,
% 148.73/148.62 ! [V_com_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OWhile(V_fun_2,V_com_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I16_J,axiom,
% 148.73/148.62 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_com_Osimps_I17_J,axiom,
% 148.73/148.62 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 148.73/148.62
% 148.73/148.62 fof(fact_empty__upd__none,axiom,
% 148.73/148.62 ! [V_xa_2,V_x_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))),V_x_2),c_Option_Ooption_ONone(T_a)),V_xa_2) = c_Option_Ooption_ONone(T_a) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__SUP__iff,axiom,
% 148.73/148.62 ! [V_f_2,V_A_2,T_b,V_a_2,T_a] :
% 148.73/148.62 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.62 & class_Orderings_Olinorder(T_a) )
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),V_A_2),V_f_2)))
% 148.73/148.62 <=> ? [B_x] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.62 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_image__map__upd,axiom,
% 148.73/148.62 ! [V_y_2,V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.62 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))),V_A_2) = hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_b),V_m_2),V_A_2) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_map__upd__nonempty,axiom,
% 148.73/148.62 ! [V_x_2,V_k_2,V_t_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_t_2),V_k_2),hAPP(c_Option_Ooption_OSome(T_b),V_x_2)) != hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 148.73/148.62 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.62 ( c_Big__Operators_Ocomm__monoid__big(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 148.73/148.62 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.62 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_dom__fun__upd,axiom,
% 148.73/148.62 ! [V_x_2,V_f_2,T_b,T_a,V_y_2] :
% 148.73/148.62 ( ( V_y_2 = c_Option_Ooption_ONone(T_a)
% 148.73/148.62 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Map_Odom(T_b,T_a,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)))) )
% 148.73/148.62 & ( V_y_2 != c_Option_Ooption_ONone(T_a)
% 148.73/148.62 => c_Map_Odom(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Map_Odom(T_b,T_a,V_f_2)) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_card__Diff__insert,axiom,
% 148.73/148.62 ! [V_B_2,V_a_2,V_A_2,T_a] :
% 148.73/148.62 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.62 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_B_2))
% 148.73/148.62 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_the__sym__eq__trivial,axiom,
% 148.73/148.62 ! [V_x_2,T_a] : c_HOL_OThe(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 148.73/148.62
% 148.73/148.62 fof(fact_fun__upd__image,axiom,
% 148.73/148.62 ! [V_y_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.62 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) )
% 148.73/148.62 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.62 => hAPP(c_Set_Oimage(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Suc__mono,axiom,
% 148.73/148.62 ! [V_n,V_m] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.62 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_lessI,axiom,
% 148.73/148.62 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__eq__Suc__le__raw,axiom,
% 148.73/148.62 ! [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)) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__Suc__1,axiom,
% 148.73/148.62 ! [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 ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__diff__iff,axiom,
% 148.73/148.62 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 148.73/148.62 => ( 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)))
% 148.73/148.62 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__less__mono,axiom,
% 148.73/148.62 ! [V_c,V_b,V_a] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 148.73/148.62 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 148.73/148.62 => 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))) ) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_Suc__diff__le,axiom,
% 148.73/148.62 ! [V_m,V_n] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.62 => 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)) ) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_diff__less__Suc,axiom,
% 148.73/148.62 ! [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))) ).
% 148.73/148.62
% 148.73/148.62 fof(fact_less__eq__Suc__le,axiom,
% 148.73/148.62 ! [V_m_2,V_n_2] :
% 148.73/148.62 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__triv,axiom,
% 148.73/148.63 ! [V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__fun__def,axiom,
% 148.73/148.63 ! [V_g_2,V_f_2,T_a,T_b] :
% 148.73/148.63 ( class_Orderings_Oord(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 148.73/148.63 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_g_2),V_f_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubsetD,axiom,
% 148.73/148.63 ! [V_ca_2,V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__psubset__empty,axiom,
% 148.73/148.63 ! [V_A_2,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_subset__psubset__trans,axiom,
% 148.73/148.63 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__subset__trans,axiom,
% 148.73/148.63 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__imp__subset,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_subset__iff__psubset__eq,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 | V_A_2 = V_B_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__eq,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 & V_A_2 != V_B_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__card__mono,axiom,
% 148.73/148.63 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_n__not__Suc__n,axiom,
% 148.73/148.63 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__n__not__n,axiom,
% 148.73/148.63 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat_Oinject,axiom,
% 148.73/148.63 ! [V_nat_H_2,V_nat_2] :
% 148.73/148.63 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 148.73/148.63 <=> V_nat_2 = V_nat_H_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__inject,axiom,
% 148.73/148.63 ! [V_y,V_x] :
% 148.73/148.63 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 148.73/148.63 => V_x = V_y ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__not__refl,axiom,
% 148.73/148.63 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__neq__iff,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( V_m_2 != V_n_2
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_linorder__neqE__nat,axiom,
% 148.73/148.63 ! [V_y,V_x] :
% 148.73/148.63 ( V_x != V_y
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__irrefl__nat,axiom,
% 148.73/148.63 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__not__refl2,axiom,
% 148.73/148.63 ! [V_m,V_n] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 148.73/148.63 => V_m != V_n ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__not__refl3,axiom,
% 148.73/148.63 ! [V_t,V_s] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 148.73/148.63 => V_s != V_t ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__less__cases,axiom,
% 148.73/148.63 ! [V_P_2,V_n_2,V_m_2] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 148.73/148.63 => ( ( V_m_2 = V_n_2
% 148.73/148.63 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 148.73/148.63 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) )
% 148.73/148.63 => hBOOL(hAPP(hAPP(V_P_2,V_n_2),V_m_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__refl,axiom,
% 148.73/148.63 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__le__linear,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_eq__imp__le,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( V_m = V_n
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__trans,axiom,
% 148.73/148.63 ! [V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__antisym,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.63 => V_m = V_n ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__commute,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__idem__iff,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 148.73/148.63 ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2) = V_f_2
% 148.73/148.63 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__upd,axiom,
% 148.73/148.63 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2)),V_x_2),V_z_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_z_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__same,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2),V_x_2) = V_y_2 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__apply,axiom,
% 148.73/148.63 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 148.73/148.63 ( ( V_z_2 = V_x_2
% 148.73/148.63 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = V_y_2 )
% 148.73/148.63 & ( V_z_2 != V_x_2
% 148.73/148.63 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__twist,axiom,
% 148.73/148.63 ! [V_d_2,V_b_2,V_m_2,T_b,T_a,V_ca_2,V_a_2] :
% 148.73/148.63 ( V_a_2 != V_ca_2
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_a_2),V_b_2)),V_ca_2),V_d_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_m_2),V_ca_2),V_d_2)),V_a_2),V_b_2) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__other,axiom,
% 148.73/148.63 ! [V_y_2,V_f_2,T_b,T_a,V_x_2,V_z_2] :
% 148.73/148.63 ( V_z_2 != V_x_2
% 148.73/148.63 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__idem,axiom,
% 148.73/148.63 ! [T_a,T_b,V_y_2,V_x_2,V_f_2] :
% 148.73/148.63 ( hAPP(V_f_2,V_x_2) = V_y_2
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,T_a),V_f_2),V_x_2),V_y_2) = V_f_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card__psubset,axiom,
% 148.73/148.63 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_image__ident,axiom,
% 148.73/148.63 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__insert__iff,axiom,
% 148.73/148.63 ! [V_B_2,V_x_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_B_2)))
% 148.73/148.63 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_B_2))
% 148.73/148.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_B_2)) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__def,axiom,
% 148.73/148.63 ! [V_b_2,V_f_2,T_b,T_a,V_a_2,V_x_2] :
% 148.73/148.63 ( ( V_x_2 = V_a_2
% 148.73/148.63 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = V_b_2 )
% 148.73/148.63 & ( V_x_2 != V_a_2
% 148.73/148.63 => hAPP(hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_a_2),V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__less__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__Suc__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 | V_m_2 = V_n_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__less__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( 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)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__less__less__Suc__eq,axiom,
% 148.73/148.63 ! [V_m_2,V_n_2] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 148.73/148.63 <=> V_n_2 = V_m_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__antisym,axiom,
% 148.73/148.63 ! [V_m,V_n] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 148.73/148.63 => V_m = V_n ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__SucI,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__lessI,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__trans__Suc,axiom,
% 148.73/148.63 ! [V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__SucE,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => V_m = V_n ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__lessD,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__less__SucD,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__n__not__le__n,axiom,
% 148.73/148.63 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__less__eq__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__Suc__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__le__mono,axiom,
% 148.73/148.63 ! [V_m_2,V_n_2] :
% 148.73/148.63 ( 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)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__SucI,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__SucE,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__leD,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__less__le,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 & V_m_2 != V_n_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__eq__less__or__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 | V_m_2 = V_n_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__imp__le__nat,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__neq__implies__less,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => ( V_m != V_n
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__or__eq__imp__le,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 | V_m = V_n )
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__Suc__Suc,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__diff__diff,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__imp__diff__less,axiom,
% 148.73/148.63 ! [V_n,V_k,V_j] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__less__mono2,axiom,
% 148.73/148.63 ! [V_l,V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__le__self,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__le__mono2,axiom,
% 148.73/148.63 ! [V_l,V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__le__mono,axiom,
% 148.73/148.63 ! [V_l,V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__diff__cancel,axiom,
% 148.73/148.63 ! [V_n,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_eq__diff__iff,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 148.73/148.63 => ( 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)
% 148.73/148.63 <=> V_m_2 = V_n_2 ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Nat_Odiff__diff__eq,axiom,
% 148.73/148.63 ! [V_n,V_m,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 148.73/148.63 => 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) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__diff__iff,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 148.73/148.63 => ( 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)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__le__lessD,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__less__Suc__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 148.73/148.63 <=> V_n_2 = V_m_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__leI,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__imp__less__Suc,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__le__eq,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__Suc__eq__le,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ran__map__upd,axiom,
% 148.73/148.63 ! [V_b_2,T_b,T_a,V_a_2,V_m_2] :
% 148.73/148.63 ( hAPP(V_m_2,V_a_2) = c_Option_Ooption_ONone(T_a)
% 148.73/148.63 => c_Map_Oran(T_b,T_a,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__None__restrict,axiom,
% 148.73/148.63 ! [V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),c_Option_Ooption_ONone(T_b)) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_finite__Union,axiom,
% 148.73/148.63 ! [V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_A_2))
% 148.73/148.63 => ( ! [B_M] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_M),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_M)) )
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card_Oremove,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Finite__Set_Ocard(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_termination__basic__simps_I5_J,axiom,
% 148.73/148.63 ! [V_y,V_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Powp__mono,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_a,V_A_2)),c_Predicate_OPowp(T_a,V_B_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__restrict__conv,axiom,
% 148.73/148.63 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__fun__upd,axiom,
% 148.73/148.63 ! [V_y_2,V_m_2,T_b,V_D_2,V_x_2,T_a] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 148.73/148.63 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_D_2))
% 148.73/148.63 => c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),V_y_2),V_D_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card_Oinsert__remove,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_psubset__trans,axiom,
% 148.73/148.63 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__commute,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__left__commute,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__assoc,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__left__cancel,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.63 ( 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)
% 148.73/148.63 <=> V_m_2 = V_n_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__right__cancel,axiom,
% 148.73/148.63 ! [V_n_2,V_k_2,V_m_2] :
% 148.73/148.63 ( 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)
% 148.73/148.63 <=> V_m_2 = V_n_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oab__semigroup__add(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__left__cancel,axiom,
% 148.73/148.63 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Ocancel__semigroup__add(T_a)
% 148.73/148.63 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)
% 148.73/148.63 <=> V_b_2 = V_ca_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__right__cancel,axiom,
% 148.73/148.63 ! [V_ca_2,V_a_2,V_b_2,T_a] :
% 148.73/148.63 ( class_Groups_Ocancel__semigroup__add(T_a)
% 148.73/148.63 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)
% 148.73/148.63 <=> V_b_2 = V_ca_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__left__imp__eq,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ocancel__semigroup__add(T_a)
% 148.73/148.63 => ( 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)
% 148.73/148.63 => V_b = V_c ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__imp__eq,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( 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)
% 148.73/148.63 => V_b = V_c ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__right__imp__eq,axiom,
% 148.73/148.63 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.63 ( class_Groups_Ocancel__semigroup__add(T_a)
% 148.73/148.63 => ( 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)
% 148.73/148.63 => V_b = V_c ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_termination__basic__simps_I2_J,axiom,
% 148.73/148.63 ! [V_y,V_z,V_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_termination__basic__simps_I1_J,axiom,
% 148.73/148.63 ! [V_z,V_y,V_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_termination__basic__simps_I4_J,axiom,
% 148.73/148.63 ! [V_y,V_z,V_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_termination__basic__simps_I3_J,axiom,
% 148.73/148.63 ! [V_z,V_y,V_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__imp__le__left,axiom,
% 148.73/148.63 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( 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)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__imp__le__right,axiom,
% 148.73/148.63 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( 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)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__mono,axiom,
% 148.73/148.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 148.73/148.63 => 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))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__left__mono,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__right__mono,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__cancel__left,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__cancel__right,axiom,
% 148.73/148.63 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__cancel__right,axiom,
% 148.73/148.63 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_ca_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__cancel__left,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_ca_2),V_b_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__strict__right__mono,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__strict__left__mono,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__strict__mono,axiom,
% 148.73/148.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 148.73/148.63 => 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))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__imp__less__right,axiom,
% 148.73/148.63 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( 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)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__imp__less__left,axiom,
% 148.73/148.63 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.63 => ( 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)))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__diff__cancel,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__add__cancel,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__Suc__shift,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__Suc,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__Suc__right,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__lessD1,axiom,
% 148.73/148.63 ! [V_k,V_j,V_i] :
% 148.73/148.63 ( 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))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__add__eq__less,axiom,
% 148.73/148.63 ! [V_n,V_m,V_l,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 148.73/148.63 => ( 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)
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__mono,axiom,
% 148.73/148.63 ! [V_l,V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__mono1,axiom,
% 148.73/148.63 ! [V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_trans__less__add2,axiom,
% 148.73/148.63 ! [V_m,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_trans__less__add1,axiom,
% 148.73/148.63 ! [V_m,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__left__cancel__less,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.63 ( 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)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__add__less2,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_not__add__less1,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__leE,axiom,
% 148.73/148.63 ! [V_n,V_k,V_m] :
% 148.73/148.63 ( 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))
% 148.73/148.63 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__leD1,axiom,
% 148.73/148.63 ! [V_n,V_k,V_m] :
% 148.73/148.63 ( 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))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__leD2,axiom,
% 148.73/148.63 ! [V_n,V_k,V_m] :
% 148.73/148.63 ( 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))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__mono,axiom,
% 148.73/148.63 ! [V_l,V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__mono1,axiom,
% 148.73/148.63 ! [V_k,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_trans__le__add2,axiom,
% 148.73/148.63 ! [V_m,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_trans__le__add1,axiom,
% 148.73/148.63 ! [V_m,V_j,V_i] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__add__left__cancel__le,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.63 ( 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)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__iff__add,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__add1,axiom,
% 148.73/148.63 ! [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))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__add2,axiom,
% 148.73/148.63 ! [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))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__cancel2,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__cancel,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__diff__left,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__add__inverse,axiom,
% 148.73/148.63 ! [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 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__add__inverse2,axiom,
% 148.73/148.63 ! [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 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__in,axiom,
% 148.73/148.63 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__map__empty,axiom,
% 148.73/148.63 ! [V_x_2,V_D_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a)),V_D_2),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__less__le__mono,axiom,
% 148.73/148.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 148.73/148.63 => 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))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__le__less__mono,axiom,
% 148.73/148.63 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 148.73/148.63 => 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))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__add__Suc1,axiom,
% 148.73/148.63 ! [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)))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__add__Suc2,axiom,
% 148.73/148.63 ! [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)))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__iff__Suc__add,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.63 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__diff__inverse,axiom,
% 148.73/148.63 ! [V_n,V_m] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__diff__conv,axiom,
% 148.73/148.63 ! [V_k_2,V_j_2,V_i_2] :
% 148.73/148.63 ( 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)))
% 148.73/148.63 <=> 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__add__assoc2,axiom,
% 148.73/148.63 ! [V_i,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__diff__assoc2,axiom,
% 148.73/148.63 ! [V_i,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__add__assoc,axiom,
% 148.73/148.63 ! [V_i,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__imp__diff__is__add,axiom,
% 148.73/148.63 ! [V_k_2,V_j_2,V_i_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 148.73/148.63 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 148.73/148.63 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__add__diff__inverse2,axiom,
% 148.73/148.63 ! [V_m,V_n] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__diff__conv2,axiom,
% 148.73/148.63 ! [V_i_2,V_j_2,V_k_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 148.73/148.63 => ( 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)))
% 148.73/148.63 <=> 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)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__diff__assoc,axiom,
% 148.73/148.63 ! [V_i,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__add__diff__inverse,axiom,
% 148.73/148.63 ! [V_m,V_n] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__add__diff,axiom,
% 148.73/148.63 ! [V_m,V_n,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 148.73/148.63 => 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__diff__conv,axiom,
% 148.73/148.63 ! [V_i_2,V_k_2,V_j_2] :
% 148.73/148.63 ( 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))
% 148.73/148.63 <=> 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))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__diff__right,axiom,
% 148.73/148.63 ! [V_i,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__eq__plus1,axiom,
% 148.73/148.63 ! [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)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Suc__eq__plus1__left,axiom,
% 148.73/148.63 ! [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) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__out,axiom,
% 148.73/148.63 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__map__insert,axiom,
% 148.73/148.63 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_f_2,V_A_2)),V_a_2),hAPP(V_f_2,V_a_2)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__map__def,axiom,
% 148.73/148.63 ! [V_m_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = hAPP(V_m_2,V_x_2) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__map__to__empty,axiom,
% 148.73/148.63 ! [V_x_2,V_m_2,T_a,T_b] : hAPP(c_Map_Orestrict__map(T_b,T_a,V_m_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__Suc__diff__eq1,axiom,
% 148.73/148.63 ! [V_m,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__Suc__diff__eq2,axiom,
% 148.73/148.63 ! [V_m,V_j,V_k] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ranI,axiom,
% 148.73/148.63 ! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
% 148.73/148.63 ( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Map_Oran(T_b,T_a,V_m_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__upd__restrict,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,V_D_2,V_m_2,T_b,T_a] : hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,V_D_2)),V_x_2),V_y_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2),V_y_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ran__empty,axiom,
% 148.73/148.63 ! [T_a,T_b] : c_Map_Oran(T_b,T_a,hAPP(c_COMBK(tc_Option_Ooption(T_a),T_b),c_Option_Ooption_ONone(T_a))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card_Oinsert,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),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_a),V_A_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__add__one,axiom,
% 148.73/148.63 ! [V_a,T_a] :
% 148.73/148.63 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.63 => 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)))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ran__restrictD,axiom,
% 148.73/148.63 ! [V_A_2,V_m_2,T_b,V_y_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),c_Map_Oran(T_b,T_a,c_Map_Orestrict__map(T_b,T_a,V_m_2,V_A_2))))
% 148.73/148.63 => ? [B_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.63 & hAPP(V_m_2,B_x) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_finite__UN__I,axiom,
% 148.73/148.63 ! [V_B_2,T_b,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( ! [B_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff1,axiom,
% 148.73/148.63 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff1__ring,axiom,
% 148.73/148.63 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Rings_Oring(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff1_H,axiom,
% 148.73/148.63 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum_Oremove,axiom,
% 148.73/148.63 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 148.73/148.63 ! [V_n_2,V_m_2] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 148.73/148.63 <=> 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__upd__same,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ComplI,axiom,
% 148.73/148.63 ! [V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_compl__eq__compl__iff,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.63 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)
% 148.73/148.63 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_uminus__apply,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Ouminus(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_double__compl,axiom,
% 148.73/148.63 ! [V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.63 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Compl__eq__Compl__iff,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)
% 148.73/148.63 <=> V_A_2 = V_B_2 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_double__complement,axiom,
% 148.73/148.63 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_neg__equal__iff__equal,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 148.73/148.63 <=> V_a_2 = V_b_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__equation__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_b_2
% 148.73/148.63 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) = V_a_2 ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_equation__minus__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 148.73/148.63 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__minus,axiom,
% 148.73/148.63 ! [V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__negf,axiom,
% 148.73/148.63 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fun__Compl__def,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Ouminus(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,T_a)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(V_A_2,V_x_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__commute,axiom,
% 148.73/148.63 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_a),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))),V_A_2)),V_B_2) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__minus__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__le__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_neg__le__iff__le,axiom,
% 148.73/148.63 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_le__imp__neg__le,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_compl__le__compl__iff,axiom,
% 148.73/148.63 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.63 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_compl__mono,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.63 => 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))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_neg__less__iff__less,axiom,
% 148.73/148.63 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__less__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)),V_a_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_less__minus__iff,axiom,
% 148.73/148.63 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.63 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__add__cancel,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_add__minus__cancel,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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 ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__add,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__add__distrib,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ComplE,axiom,
% 148.73/148.63 ! [V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 148.73/148.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ComplD,axiom,
% 148.73/148.63 ! [V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 148.73/148.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Compl__iff,axiom,
% 148.73/148.63 ! [V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 148.73/148.63 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_minus__diff__eq,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Compl__anti__mono,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Compl__subset__Compl__iff,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)))
% 148.73/148.63 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__addf,axiom,
% 148.73/148.63 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__subtractf,axiom,
% 148.73/148.63 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),V_A_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__def,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_ab__diff__minus,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_diff__minus__eq__add,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_subset__Compl__self__eq,axiom,
% 148.73/148.63 ! [V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 148.73/148.63 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Compl__Diff__eq,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum_Odistrib,axiom,
% 148.73/148.63 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Oplus__class_Oplus(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card__eq__setsum,axiom,
% 148.73/148.63 ! [V_A_2,T_a] : hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_nat__case__Suc,axiom,
% 148.73/148.63 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_linorder__neqE__linordered__idom,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.63 => ( V_x != V_y
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum_Oinsert,axiom,
% 148.73/148.63 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__insert,axiom,
% 148.73/148.63 ! [V_f_2,V_a_2,V_F_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_F_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_F_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff,axiom,
% 148.73/148.63 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Oab__group__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff__nat,axiom,
% 148.73/148.63 ! [V_f_2,V_A_2,V_B_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum_Oinsert__remove,axiom,
% 148.73/148.63 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__diff1__nat,axiom,
% 148.73/148.63 ! [V_f_2,V_A_2,V_a_2,T_a] :
% 148.73/148.63 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 148.73/148.63 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_restrict__complement__singleton__eq,axiom,
% 148.73/148.63 ! [V_x_2,V_f_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,V_f_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),c_Option_Ooption_ONone(T_b)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Rings_Ocomm__ring__1(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_setsum__strict__mono,axiom,
% 148.73/148.63 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.63 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.63 & class_Groups_Oordered__cancel__ab__semigroup__add(T_b) )
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => ( ! [B_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2))) ) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card__Plus,axiom,
% 148.73/148.63 ! [V_B_2,T_b,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.73/148.63 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Sup__fin_Ounion__inter,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) ) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fold__sup__le__sup,axiom,
% 148.73/148.63 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__sup(T_a)
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( ! [B_x] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_fold1Set_Ointros,axiom,
% 148.73/148.63 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,V_a_2,V_A_2),V_x_2))
% 148.73/148.63 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_card__Un__disjoint,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.63 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.63 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf1I,axiom,
% 148.73/148.63 ! [T_a,V_B_2,V_x_2,V_A_2] :
% 148.73/148.63 ( hBOOL(hAPP(V_A_2,V_x_2))
% 148.73/148.63 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf1E,axiom,
% 148.73/148.63 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 148.73/148.63 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 148.73/148.63 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_IntI,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.73/148.63 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2))
% 148.73/148.63 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_IntE,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.73/148.63 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.63 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.73/148.63 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_finite__Int,axiom,
% 148.73/148.63 ! [V_Ga_2,V_F_2,T_a] :
% 148.73/148.63 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.73/148.63 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Ga_2)) )
% 148.73/148.63 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_F_2),V_Ga_2))) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__fun__def,axiom,
% 148.73/148.63 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Int__absorb,axiom,
% 148.73/148.63 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Int__commute,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Int__left__absorb,axiom,
% 148.73/148.63 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Int__left__commute,axiom,
% 148.73/148.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Int__assoc,axiom,
% 148.73/148.63 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf_Oidem,axiom,
% 148.73/148.63 ! [V_a,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_Inf__fin_Oidem,axiom,
% 148.73/148.63 ! [V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__idem,axiom,
% 148.73/148.63 ! [V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf_Ocommute,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__sup__aci_I1_J,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__commute,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf_Oleft__idem,axiom,
% 148.73/148.63 ! [V_b,V_a,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__sup__aci_I4_J,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__left__idem,axiom,
% 148.73/148.63 ! [V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf_Oleft__commute,axiom,
% 148.73/148.63 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__sup__aci_I3_J,axiom,
% 148.73/148.63 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Olattice(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf__left__commute,axiom,
% 148.73/148.63 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.63 => 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)) ) ).
% 148.73/148.63
% 148.73/148.63 fof(fact_inf_Oassoc,axiom,
% 148.73/148.63 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.63 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__aci_I2_J,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__assoc,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__apply,axiom,
% 148.73/148.64 ! [V_x_2,V_g_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,T_a)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf1D1,axiom,
% 148.73/148.64 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 148.73/148.64 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf1D2,axiom,
% 148.73/148.64 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 148.73/148.64 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Union__Int__subset,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__infE,axiom,
% 148.73/148.64 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.64 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__mono,axiom,
% 148.73/148.64 ! [V_d,V_b,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__greatest,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__infI,axiom,
% 148.73/148.64 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__absorb2,axiom,
% 148.73/148.64 ! [V_x,V_y,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__absorb1,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__infI2,axiom,
% 148.73/148.64 ! [V_a,V_x,V_b,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 148.73/148.64 => 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)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__infI1,axiom,
% 148.73/148.64 ! [V_b,V_x,V_a,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.73/148.64 => 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)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__inf__iff,axiom,
% 148.73/148.64 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y_2),V_z_2)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le__iff__inf,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.64 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__le2,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__ord_I2_J,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__le1,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__ord_I1_J,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_less__infI1,axiom,
% 148.73/148.64 ! [V_b,V_x,V_a,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 148.73/148.64 => 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)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_less__infI2,axiom,
% 148.73/148.64 ! [V_a,V_x,V_b,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 148.73/148.64 => 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)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__bot__left,axiom,
% 148.73/148.64 ! [V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Obounded__lattice__bot(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__bot__right,axiom,
% 148.73/148.64 ! [V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Obounded__lattice__bot(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sup__inf__distrib2,axiom,
% 148.73/148.64 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.64 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__distrib2,axiom,
% 148.73/148.64 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.64 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sup__inf__distrib1,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__distrib1,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sup__inf__absorb,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__sup__absorb,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__iff,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_IntD1,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_IntD2,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_ca_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_B_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__empty__left,axiom,
% 148.73/148.64 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__empty__right,axiom,
% 148.73/148.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_disjoint__iff__not__equal,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 <=> ! [B_x] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.64 => ! [B_xa] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_B_2))
% 148.73/148.64 => B_x != B_xa ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_insert__inter__insert,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_a_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__lower1,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__lower2,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__absorb2,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__absorb1,axiom,
% 148.73/148.64 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__greatest,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_C_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__mono,axiom,
% 148.73/148.64 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__Un__distrib,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Un__Int__distrib,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__Un__distrib2,axiom,
% 148.73/148.64 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Un__Int__distrib2,axiom,
% 148.73/148.64 ! [V_A_2,V_C_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Un__Int__crazy,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Int__distrib,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_C_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__Diff,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Int__distrib2,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Int2,axiom,
% 148.73/148.64 ! [V_B_2,V_C_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_restrict__restrict,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_m_2,T_b,T_a] : c_Map_Orestrict__map(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2),V_B_2) = c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fun__left__comm__idem__inf,axiom,
% 148.73/148.64 ! [T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 148.73/148.64 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__graph_OemptyI,axiom,
% 148.73/148.64 ! [V_z_2,V_f_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_z_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_empty__fold__graphE,axiom,
% 148.73/148.64 ! [V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_x_2))
% 148.73/148.64 => V_x_2 = V_z_2 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__graph__imp__finite,axiom,
% 148.73/148.64 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__Int__eq,axiom,
% 148.73/148.64 ! [V_x_2,V_S_2,V_R_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)),V_x_2))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__UN__distrib2,axiom,
% 148.73/148.64 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UN__extend__simps_I4_J,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__UN__distrib,axiom,
% 148.73/148.64 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UN__extend__simps_I5_J,axiom,
% 148.73/148.64 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UN__simps_I4_J,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UN__simps_I5_J,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_x_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 148.73/148.64 => V_y_2 = V_x_2 ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__PlusD_I2_J,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__PlusD_I1_J,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__Plus,axiom,
% 148.73/148.64 ! [V_B_2,T_b,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__Plus__iff,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)))
% 148.73/148.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_distrib__inf__le,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_distrib__sup__le,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => 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)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__compl__bot,axiom,
% 148.73/148.64 ! [V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_compl__inf__bot,axiom,
% 148.73/148.64 ! [V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_diff__eq,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_compl__sup,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_compl__inf,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__left__if1,axiom,
% 148.73/148.64 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__right__if1,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__left__if0,axiom,
% 148.73/148.64 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 148.73/148.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__right__if0,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 148.73/148.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__left,axiom,
% 148.73/148.64 ! [V_B_2,V_C_2,V_a_2,T_a] :
% 148.73/148.64 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 148.73/148.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_C_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__insert__right,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_a_2,T_a] :
% 148.73/148.64 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 148.73/148.64 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_image__Int__subset,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,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_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_B_2)))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__triv,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__disjoint,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Un__Int__assoc__eq,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Int,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Un,axiom,
% 148.73/148.64 ! [V_C_2,V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Un__Diff__Int,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Compl__disjoint2,axiom,
% 148.73/148.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Compl__disjoint,axiom,
% 148.73/148.64 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Union__disjoint,axiom,
% 148.73/148.64 ! [V_A_2,V_C_2,T_a] :
% 148.73/148.64 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 <=> ! [B_x] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_C_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Compl__Int,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Compl__Un,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__eq,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff__Compl,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_dom__restrict,axiom,
% 148.73/148.64 ! [V_A_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m_2)),V_A_2) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__graph_OinsertI,axiom,
% 148.73/148.64 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 148.73/148.64 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__Union,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Int__Union2,axiom,
% 148.73/148.64 ! [V_A_2,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 148.73/148.64 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 148.73/148.64 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__inf__insert,axiom,
% 148.73/148.64 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_inf__Sup__absorb,axiom,
% 148.73/148.64 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_disjoint__eq__subset__Compl,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 148.73/148.64 ! [V_d,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 148.73/148.64 ! [V_d,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 148.73/148.64 ! [V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__def,axiom,
% 148.73/148.64 ! [V_A_2,V_z_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_a,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold__graph(T_b,T_a,V_f_2,V_z_2,V_A_2)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.73/148.64 => 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)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__inf__le__inf,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 148.73/148.64 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_setsum__Un__Int,axiom,
% 148.73/148.64 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.64 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_setsum__Un__nat,axiom,
% 148.73/148.64 ! [V_f_2,V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_card_Ounion__inter,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_card__Un__Int,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 148.73/148.64 ! [V_z_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_z_2),V_A_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_card__Diff__subset__Int,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.64 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.73/148.64 => ( 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))
% 148.73/148.64 => 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)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_folding__one_Ounion__inter,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_folding__one_Ounion__disjoint,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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)) ) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Diff1__fold__graph,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_y_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_setsum__Un__disjoint,axiom,
% 148.73/148.64 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.64 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_setsum__Un,axiom,
% 148.73/148.64 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.64 ( class_Groups_Oab__group__add(T_b)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Plus__eq__empty__conv,axiom,
% 148.73/148.64 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.64 ( c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))
% 148.73/148.64 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 148.73/148.64 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.64 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),V_y_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.64 => ? [B_y_H] :
% 148.73/148.64 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 148.73/148.64 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_card__Plus__conv__if,axiom,
% 148.73/148.64 ! [V_B_2,T_b,V_A_2,T_a] :
% 148.73/148.64 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 148.73/148.64 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) )
% 148.73/148.64 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) )
% 148.73/148.64 => hAPP(c_Finite__Set_Ocard(tc_sum(T_a,T_b)),c_Sum__Type_OPlus(T_a,T_b,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Inf__fin_Oremove,axiom,
% 148.73/148.64 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.64 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = V_x_2 )
% 148.73/148.64 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_insert__partition,axiom,
% 148.73/148.64 ! [V_F_2,V_x_2,T_a] :
% 148.73/148.64 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2))
% 148.73/148.64 => ( ! [B_x] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 148.73/148.64 => ! [B_xa] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_F_2)))
% 148.73/148.64 => ( B_x != B_xa
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 148.73/148.64 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_fold__Un__disjoint,axiom,
% 148.73/148.64 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.64 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.64 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 148.73/148.64 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.64 ( class_Lattices_Olattice(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.64 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.64 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_compl__unique,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 148.73/148.64 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UNIV__I,axiom,
% 148.73/148.64 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_less__zeroE,axiom,
% 148.73/148.64 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_le0,axiom,
% 148.73/148.64 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__less__Suc,axiom,
% 148.73/148.64 ! [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))) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_add__scale__eq__noteq,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 148.73/148.64 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 148.73/148.64 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 => ( ( V_a = V_b
% 148.73/148.64 & V_c != V_d )
% 148.73/148.64 => 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)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 148.73/148.64 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 148.73/148.64 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 148.73/148.64 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 148.73/148.64 ! [V_rx,V_ly,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 148.73/148.64 ! [V_rx,V_ly,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 148.73/148.64 ! [V_ry,V_rx,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 148.73/148.64 ! [V_ry,V_rx,V_lx,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UNIV__Plus__UNIV,axiom,
% 148.73/148.64 ! [T_b,T_a] : c_Sum__Type_OPlus(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__mono2,axiom,
% 148.73/148.64 ! [V_k,V_j,V_i] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__mono1,axiom,
% 148.73/148.64 ! [V_k,V_j,V_i] :
% 148.73/148.64 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel2,axiom,
% 148.73/148.64 ! [V_n_2,V_k_2,V_m_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel1,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_nat__0__less__mult__iff,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Union__UNIV,axiom,
% 148.73/148.64 ! [T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__Plus__UNIV__iff,axiom,
% 148.73/148.64 ! [T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_a,T_b),tc_HOL_Obool))))
% 148.73/148.64 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 148.73/148.64 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__option__UNIV,axiom,
% 148.73/148.64 ! [T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool))))
% 148.73/148.64 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__Prod__UNIV,axiom,
% 148.73/148.64 ! [T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 148.73/148.64 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__idem,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__idem,axiom,
% 148.73/148.64 ! [V_x,T_a] :
% 148.73/148.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_times_Oidem,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_top__apply,axiom,
% 148.73/148.64 ! [V_x_2,T_b,T_a] :
% 148.73/148.64 ( class_Orderings_Otop(T_a)
% 148.73/148.64 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,T_a)),V_x_2) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__reorient,axiom,
% 148.73/148.64 ! [V_x_2,T_a] :
% 148.73/148.64 ( class_Groups_Ozero(T_a)
% 148.73/148.64 => ( c_Groups_Ozero__class_Ozero(T_a) = V_x_2
% 148.73/148.64 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__eq__1__iff,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2] :
% 148.73/148.64 ( 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))
% 148.73/148.64 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.64 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__cancel2,axiom,
% 148.73/148.64 ! [V_n_2,V_k_2,V_m_2] :
% 148.73/148.64 ( 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)
% 148.73/148.64 <=> ( V_m_2 = V_n_2
% 148.73/148.64 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__cancel1,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.64 ( 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)
% 148.73/148.64 <=> ( V_m_2 = V_n_2
% 148.73/148.64 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__is__0,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2] :
% 148.73/148.64 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.64 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.64 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__0__right,axiom,
% 148.73/148.64 ! [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) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__0,axiom,
% 148.73/148.64 ! [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) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__eq__self__implies__10,axiom,
% 148.73/148.64 ! [V_n,V_m] :
% 148.73/148.64 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 148.73/148.64 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.64 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_bot__nat__def,axiom,
% 148.73/148.64 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_divisors__zero,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ono__zero__divisors(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_no__zero__divisors,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ono__zero__divisors(T_a)
% 148.73/148.64 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__eq__0__iff,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Rings_Oring__no__zero__divisors(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 | V_b_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__zero__right,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Omult__zero(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__zero__left,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Omult__zero(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__le__square,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring(T_a)
% 148.73/148.64 => 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))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__le__mult__iff,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( 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_2),V_b_2)))
% 148.73/148.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__0__iff,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__nonneg__nonneg,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__cancel__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__nonneg__nonpos,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__cancel__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__nonneg__nonpos2,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__cancel__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__nonpos__nonneg,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__cancel__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__nonpos__nonpos,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__right__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__mult__left__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__comm__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__right__mono__neg,axiom,
% 148.73/148.64 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__mono__neg,axiom,
% 148.73/148.64 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__mono_H,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__mono,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__semiring(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_split__mult__pos__le,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.64 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_split__mult__neg__le,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oordered__cancel__semiring(T_a)
% 148.73/148.64 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sum__squares__eq__zero__iff,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_not__square__less__zero,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring(T_a)
% 148.73/148.64 => ~ 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))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel__right__disj,axiom,
% 148.73/148.64 ! [V_b_2,V_ca_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)))
% 148.73/148.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel__left__disj,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 148.73/148.64 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) )
% 148.73/148.64 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel__left__pos,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__pos__pos,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__pos__neg,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__pos__neg2,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__less__mult__pos,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_zero__less__mult__pos2,axiom,
% 148.73/148.64 ! [V_a,V_b,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__cancel__left__neg,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__neg__pos,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__neg__neg,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__right__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__left__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__mult__strict__left__mono,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__right__mono__neg,axiom,
% 148.73/148.64 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__left__mono__neg,axiom,
% 148.73/148.64 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => 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))) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Sup__UNIV,axiom,
% 148.73/148.64 ! [T_a] :
% 148.73/148.64 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.64 => c_Complete__Lattice_OSup__class_OSup(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__cancel__left__pos,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__cancel__left__neg,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),V_b_2)))
% 148.73/148.64 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__mono,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__strict__mono_H,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__le__imp__less,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__less__imp__less,axiom,
% 148.73/148.64 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => 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))) ) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__right__less__imp__less,axiom,
% 148.73/148.64 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__imp__less__right,axiom,
% 148.73/148.64 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__less__imp__less,axiom,
% 148.73/148.64 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__less__imp__less__left,axiom,
% 148.73/148.64 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__right__le__imp__le,axiom,
% 148.73/148.64 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__le__imp__le,axiom,
% 148.73/148.64 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__semiring__strict(T_a)
% 148.73/148.64 => ( 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)))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sum__squares__le__zero__iff,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( 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_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.64 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sum__squares__ge__zero,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring(T_a)
% 148.73/148.64 => 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)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_sum__squares__gt__zero__iff,axiom,
% 148.73/148.64 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring__strict(T_a)
% 148.73/148.64 => ( 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),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y_2),V_y_2))))
% 148.73/148.64 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.64 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_not__sum__squares__lt__zero,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__ring(T_a)
% 148.73/148.64 => ~ 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))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__right__le__one__le,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.64 => 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)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__left__le__one__le,axiom,
% 148.73/148.64 ! [V_y,V_x,T_a] :
% 148.73/148.64 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.64 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.64 => 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)) ) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_one__less__mult,axiom,
% 148.73/148.64 ! [V_m,V_n] :
% 148.73/148.64 ( 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))
% 148.73/148.64 => ( 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))
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_n__less__n__mult__m,axiom,
% 148.73/148.64 ! [V_m,V_n] :
% 148.73/148.64 ( 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))
% 148.73/148.64 => ( 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))
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_n__less__m__mult__n,axiom,
% 148.73/148.64 ! [V_m,V_n] :
% 148.73/148.64 ( 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))
% 148.73/148.64 => ( 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))
% 148.73/148.64 => 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))) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_one__le__mult__iff,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( 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))
% 148.73/148.64 & 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)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__cancel1,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__le__cancel2,axiom,
% 148.73/148.64 ! [V_n_2,V_k_2,V_m_2] :
% 148.73/148.64 ( 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)))
% 148.73/148.64 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.64 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_combine__common__factor,axiom,
% 148.73/148.64 ! [V_c,V_b,V_e,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Osemiring(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__class_Odistrib,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 148.73/148.64 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_crossproduct__noteq,axiom,
% 148.73/148.64 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 148.73/148.64 => ( ( V_a_2 != V_b_2
% 148.73/148.64 & V_ca_2 != V_d_2 )
% 148.73/148.64 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_ca_2)) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 148.73/148.64 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 148.73/148.64 ! [V_b,V_m,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_crossproduct__eq,axiom,
% 148.73/148.64 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_a] :
% 148.73/148.64 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_y_2))
% 148.73/148.64 <=> ( V_w_2 = V_x_2
% 148.73/148.64 | V_y_2 = V_z_2 ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult_Ocomm__neutral,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__1__right,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__1,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_mult__1__left,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 148.73/148.64 ! [V_a,T_a] :
% 148.73/148.64 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.64 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__fun__UNIVD2,axiom,
% 148.73/148.64 ! [T_b,T_a] :
% 148.73/148.64 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_minus__mult__right,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oring(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_minus__mult__left,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oring(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_minus__mult__commute,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oring(T_a)
% 148.73/148.64 => 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)) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_minus__mult__minus,axiom,
% 148.73/148.64 ! [V_b,V_a,T_a] :
% 148.73/148.64 ( class_Rings_Oring(T_a)
% 148.73/148.64 => 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) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_square__eq__iff,axiom,
% 148.73/148.64 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.64 ( class_Rings_Oidom(T_a)
% 148.73/148.64 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_b_2)
% 148.73/148.64 <=> ( V_a_2 = V_b_2
% 148.73/148.64 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2) ) ) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_Suc__mult__cancel1,axiom,
% 148.73/148.64 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.64 ( 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)
% 148.73/148.64 <=> V_m_2 = V_n_2 ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_UNIV__not__empty,axiom,
% 148.73/148.64 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_finite__UNIV,axiom,
% 148.73/148.64 ! [T_a] :
% 148.73/148.64 ( class_Finite__Set_Ofinite(T_a)
% 148.73/148.64 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_add__mult__distrib,axiom,
% 148.73/148.64 ! [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)) ).
% 148.73/148.64
% 148.73/148.64 fof(fact_add__mult__distrib2,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__square,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__cube,axiom,
% 148.73/148.65 ! [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)))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__le__mono1,axiom,
% 148.73/148.65 ! [V_k,V_j,V_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.65 => 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))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__le__mono2,axiom,
% 148.73/148.65 ! [V_k,V_j,V_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.65 => 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))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__le__mono,axiom,
% 148.73/148.65 ! [V_l,V_k,V_j,V_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 148.73/148.65 => 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))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_subset__UNIV,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add_Ocomm__neutral,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__0__right,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Omonoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_double__zero__sym,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__0,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__0__left,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Omonoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__0__iff,axiom,
% 148.73/148.65 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.65 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 148.73/148.65 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b_2),V_a_2)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__mult__distrib2,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__mult__distrib,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Un__UNIV__right,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Un__UNIV__left,axiom,
% 148.73/148.65 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Int__UNIV__right,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Int__UNIV__left,axiom,
% 148.73/148.65 ! [V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__0__right,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__self,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_eq__iff__diff__eq__0,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.65 => ( V_a_2 = V_b_2
% 148.73/148.65 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_right__minus__eq,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 <=> V_a_2 = V_b_2 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_one__neq__zero,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Ozero__neq__one(T_a)
% 148.73/148.65 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__neq__one,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Ozero__neq__one(T_a)
% 148.73/148.65 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__equal__zero,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = V_a_2
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__equal__0__iff__equal,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_equal__neg__zero,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__0__equal__iff__equal,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)
% 148.73/148.65 <=> c_Groups_Ozero__class_Ozero(T_a) = V_a_2 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_minus__zero,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__1,axiom,
% 148.73/148.65 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__1__eq__mult__iff,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 148.73/148.65 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.65 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__1__right,axiom,
% 148.73/148.65 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__eq__1__iff,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.65 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.65 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Zero__not__Suc,axiom,
% 148.73/148.65 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osimps_I2_J,axiom,
% 148.73/148.65 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__not__Zero,axiom,
% 148.73/148.65 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osimps_I3_J,axiom,
% 148.73/148.65 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Zero__neq__Suc,axiom,
% 148.73/148.65 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__neq__Zero,axiom,
% 148.73/148.65 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_not__less0,axiom,
% 148.73/148.65 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neq0__conv,axiom,
% 148.73/148.65 ! [V_n_2] :
% 148.73/148.65 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__nat__zero__code,axiom,
% 148.73/148.65 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_gr__implies__not0,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.65 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_gr0I,axiom,
% 148.73/148.65 ! [V_n] :
% 148.73/148.65 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__UNIV__unit,axiom,
% 148.73/148.65 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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__eq__self__zero,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 148.73/148.65 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__is__0,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Nat_Oadd__0__right,axiom,
% 148.73/148.65 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 148.73/148.65
% 148.73/148.65 fof(fact_plus__nat_Oadd__0,axiom,
% 148.73/148.65 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 148.73/148.65 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__0__eq,axiom,
% 148.73/148.65 ! [V_n_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 148.73/148.65 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__0__eq__0,axiom,
% 148.73/148.65 ! [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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_minus__nat_Odiff__0,axiom,
% 148.73/148.65 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__self__eq__0,axiom,
% 148.73/148.65 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diffs0__imp__equal,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => V_m = V_n ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fun__left__comm,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.65 => c_Finite__Set_Ofun__left__comm(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fun__left__comm__idem,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.65 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_convex__bound__le,axiom,
% 148.73/148.65 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semiring__1(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.65 => 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)) ) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__product,axiom,
% 148.73/148.65 ! [V_B_2,V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.65 ( class_Rings_Osemiring__0(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_a),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_a),tc_fun(tc_fun(T_c,T_a),tc_fun(T_c,T_a)),T_b),c_COMBB(T_a,T_a,T_c)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__left__distrib,axiom,
% 148.73/148.65 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.65 ( class_Rings_Osemiring__0(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__right__distrib,axiom,
% 148.73/148.65 ! [V_A_2,V_f_2,T_b,V_r_2,T_a] :
% 148.73/148.65 ( class_Rings_Osemiring__0(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r_2)),V_f_2)),V_A_2) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__case__0,axiom,
% 148.73/148.65 ! [V_f2_2,V_f1_2,T_a] : c_Nat_Onat_Onat__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 148.73/148.65
% 148.73/148.65 fof(fact_finite__UNIV__card__ge__0,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 148.73/148.65 => 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_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_range__composition,axiom,
% 148.73/148.65 ! [V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBB(T_c,T_a,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__eq__if,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.65 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => 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)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__0,axiom,
% 148.73/148.65 ! [V_A_2,T_b,T_a] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_A_2) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_top__greatest,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Orderings_Otop(T_a)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_sup__top__left,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_sup__top__right,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_inf__eq__top__iff,axiom,
% 148.73/148.65 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_a)
% 148.73/148.65 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_a)
% 148.73/148.65 & V_y_2 = c_Orderings_Otop__class_Otop(T_a) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_inf__top__right,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_inf__top__left,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Obounded__lattice__top(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_UNIV__option__conv,axiom,
% 148.73/148.65 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool)) = hAPP(hAPP(c_Set_Oinsert(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(c_Set_Oimage(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_convex__bound__lt,axiom,
% 148.73/148.65 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.65 => 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)) ) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__1__mult,axiom,
% 148.73/148.65 ! [V_n,V_m,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_eq__add__iff1,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 148.73/148.65 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_eq__add__iff2,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_e_2)),V_ca_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)
% 148.73/148.65 <=> V_ca_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 148.73/148.65 ! [V_m,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 148.73/148.65 ! [V_a,V_m,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 148.73/148.65 ! [V_m,V_a,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_square__eq__1__iff,axiom,
% 148.73/148.65 ! [V_x_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.65 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.65 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Rings_Ocomm__ring__1(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_rangeI,axiom,
% 148.73/148.65 ! [T_b,V_x_2,V_f_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_range__eqI,axiom,
% 148.73/148.65 ! [T_b,T_a,V_x_2,V_f_2,V_b_2] :
% 148.73/148.65 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__mult__less__cancel1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( 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)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__Suc__right,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_mult__Suc,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__mult__le__cancel1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( 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)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( 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_2),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__nonneg__nonneg,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__nonneg__eq__0__iff,axiom,
% 148.73/148.65 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y_2))
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__increasing,axiom,
% 148.73/148.65 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__increasing2,axiom,
% 148.73/148.65 ! [V_a,V_b,V_c,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__nonpos__nonpos,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_pos__add__strict,axiom,
% 148.73/148.65 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__neg__neg,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__pos__pos,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( 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_2),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__iff__diff__le__0,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__iff__diff__less__0,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Diff__UNIV,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_not__one__le__zero,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => ~ 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))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__le__one,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => 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))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_not__one__less__zero,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__less__one,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__0__le__iff__le,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__minus__self__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__le__0__iff__le,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_minus__le__self__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 148.73/148.65 => ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 148.73/148.65 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__0__less__iff__less,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__less__0__iff__less,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_neg__less__nonneg,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_a_2))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__minus__self__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_right__minus,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b_2)
% 148.73/148.65 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_left__minus,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_ab__left__minus,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_minus__unique,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__0,axiom,
% 148.73/148.65 ! [V_a,T_a] :
% 148.73/148.65 ( class_Groups_Ogroup__add(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum_Oempty,axiom,
% 148.73/148.65 ! [V_g_2,T_b,T_a] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__empty,axiom,
% 148.73/148.65 ! [V_f_2,T_b,T_a] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__infinite,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum_Oinfinite,axiom,
% 148.73/148.65 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Compl__empty__eq,axiom,
% 148.73/148.65 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Compl__UNIV__eq,axiom,
% 148.73/148.65 ! [T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_finite__compl,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)))
% 148.73/148.65 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__Suc__eq__0__disj,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 148.73/148.65 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 | ? [B_j] :
% 148.73/148.65 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 148.73/148.65 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__Suc0,axiom,
% 148.73/148.65 ! [V_n_2] :
% 148.73/148.65 ( 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))))
% 148.73/148.65 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_gr0__conv__Suc,axiom,
% 148.73/148.65 ! [V_n_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 148.73/148.65 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Compl__partition2,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Compl__partition,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_one__is__add,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( 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)
% 148.73/148.65 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.65 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.65 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__is__1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( 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))
% 148.73/148.65 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.65 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.65 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__gr__0,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( 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)))
% 148.73/148.65 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 148.73/148.65 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 148.73/148.65 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_A_2) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card_Oempty,axiom,
% 148.73/148.65 ! [T_a] : hAPP(c_Finite__Set_Ocard(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__infinite,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__less__diff,axiom,
% 148.73/148.65 ! [V_m_2,V_n_2] :
% 148.73/148.65 ( 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)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__less,axiom,
% 148.73/148.65 ! [V_m,V_n] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 148.73/148.65 => 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)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__add__0,axiom,
% 148.73/148.65 ! [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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__is__0__eq,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2] :
% 148.73/148.65 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__is__0__eq_H,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.65 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_One__nat__def,axiom,
% 148.73/148.65 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Osingleton,axiom,
% 148.73/148.65 ! [V_x_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__eq__0__iff,axiom,
% 148.73/148.65 ! [V_f_2,V_F_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.73/148.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 <=> ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 148.73/148.65 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_SUP__UN__eq,axiom,
% 148.73/148.65 ! [V_x_2,V_r_2,T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_finite__range__imageI,axiom,
% 148.73/148.65 ! [V_f_2,T_c,V_g_2,T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,hAPP(hAPP(c_COMBB(T_a,T_c,T_b),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__Suc,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_dom__const,axiom,
% 148.73/148.65 ! [V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_Option_Ooption(T_b),T_a),c_Option_Ooption_OSome(T_b)),V_f_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__add__iff2,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.65 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_le__add__iff1,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.65 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 148.73/148.65 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__add__iff2,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.65 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_less__add__iff1,axiom,
% 148.73/148.65 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oordered__ring(T_a)
% 148.73/148.65 => ( 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_a_2),V_e_2)),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b_2),V_e_2)),V_d_2)))
% 148.73/148.65 <=> 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),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_compl__bot__eq,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_compl__top__eq,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.65 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_sup__compl__top,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_compl__sup__top,axiom,
% 148.73/148.65 ! [V_x,T_a] :
% 148.73/148.65 ( class_Lattices_Oboolean__algebra(T_a)
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__nonpos__neg,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__neg__nonpos,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__strict__increasing2,axiom,
% 148.73/148.65 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__strict__increasing,axiom,
% 148.73/148.65 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__nonneg__pos,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__pos__nonneg,axiom,
% 148.73/148.65 ! [V_b,V_a,T_a] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.65 => 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))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_zero__less__two,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.65 => 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)))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__graph__insert__swap,axiom,
% 148.73/148.65 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_a] :
% 148.73/148.65 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_y_2))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2),V_y_2))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_surj__Compl__image__subset,axiom,
% 148.73/148.65 ! [V_A_2,V_f_2,T_a,T_b] :
% 148.73/148.65 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__eq__0__iff,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__ge__0__finite,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( 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_a),V_A_2)))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__pred,axiom,
% 148.73/148.65 ! [V_n] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.65 => 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 ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_diff__Suc__less,axiom,
% 148.73/148.65 ! [V_i,V_n] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.65 => 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)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__diff__split__asm,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,V_P_2] :
% 148.73/148.65 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 148.73/148.65 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 148.73/148.65 & ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 148.73/148.65 | ? [B_d] :
% 148.73/148.65 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 148.73/148.65 & ~ hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__diff__split,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,V_P_2] :
% 148.73/148.65 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 148.73/148.65 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 148.73/148.65 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 148.73/148.65 & ! [B_d] :
% 148.73/148.65 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 148.73/148.65 => hBOOL(hAPP(V_P_2,B_d)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_sup__Inf__absorb,axiom,
% 148.73/148.65 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = V_a_2 ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oin__idem,axiom,
% 148.73/148.65 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__eq__Suc0__iff,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.65 <=> ? [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.65 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.65 & ! [B_xa] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 148.73/148.65 => ( B_x != B_xa
% 148.73/148.65 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__image__distrib,axiom,
% 148.73/148.65 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_b)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__eq__1__iff,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.65 <=> ? [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.65 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.65 & ! [B_xa] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 148.73/148.65 => ( B_x != B_xa
% 148.73/148.65 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__delta_H,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 148.73/148.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__delta,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.65 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 148.73/148.65 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))),V_S_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_finite__range__updI,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),V_f_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_a),V_b_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Body__triple__valid__0,axiom,
% 148.73/148.65 ! [V_Q_2,V_pn_2,V_P_2,T_a] : c_Hoare__Mirabelle_Otriple__valid(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Q_2)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__image__insert,axiom,
% 148.73/148.65 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Oab__semigroup__mult(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.65 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__gt__0__iff,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( 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_a),V_A_2)))
% 148.73/148.65 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum_Oeq__fold,axiom,
% 148.73/148.65 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum_OF__eq,axiom,
% 148.73/148.65 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Oplus__class_Oplus(T_b)),V_g_2),c_Groups_Ozero__class_Ozero(T_b)),V_A_2) )
% 148.73/148.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__diff__1,axiom,
% 148.73/148.65 ! [V_n] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.65 => 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 ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Suc__pred_H,axiom,
% 148.73/148.65 ! [V_n] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.65 => 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))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_add__eq__if,axiom,
% 148.73/148.65 ! [V_n,V_m] :
% 148.73/148.65 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 148.73/148.65 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => 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)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 148.73/148.65 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Osubset__idem,axiom,
% 148.73/148.65 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Ounion__idem,axiom,
% 148.73/148.65 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__restrict__set,axiom,
% 148.73/148.65 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__le__Sup,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 148.73/148.65 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card_Oeq__fold__g,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__def,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_a,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 148.73/148.65 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__graph__permute__diff,axiom,
% 148.73/148.65 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_a] :
% 148.73/148.65 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_b_2,V_A_2),V_x_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__image__Un__Int,axiom,
% 148.73/148.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oinsert,axiom,
% 148.73/148.65 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 148.73/148.65 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.65 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 148.73/148.65 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Ounion__inter,axiom,
% 148.73/148.65 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_finite__fun__UNIVD1,axiom,
% 148.73/148.65 ! [T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))))
% 148.73/148.65 => ( hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 148.73/148.65 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__less__add__iff2,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> 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))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__less__add__iff1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> 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)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_triple_Osize_I1_J,axiom,
% 148.73/148.65 ! [V_fun2_2,V_com_2,V_fun1_2,V_fa_2,T_a] : c_Hoare__Mirabelle_Otriple_Otriple__size(T_a,V_fa_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__eq__add__iff2,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 148.73/148.65 => ( 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)
% 148.73/148.65 <=> 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) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__diff__add__eq2,axiom,
% 148.73/148.65 ! [V_n,V_m,V_u,V_j,V_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 148.73/148.65 => 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)) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__le__add__iff2,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> 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))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__eq__add__iff1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 148.73/148.65 => ( 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)
% 148.73/148.65 <=> 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 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_top1I,axiom,
% 148.73/148.65 ! [V_x_2,T_a] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_x_2)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__assoc,axiom,
% 148.73/148.65 ! [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)) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__commute,axiom,
% 148.73/148.65 ! [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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( 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)
% 148.73/148.65 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 | V_m_2 = V_n_2 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_left__add__mult__distrib,axiom,
% 148.73/148.65 ! [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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__eq__cancel1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.65 => ( 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)
% 148.73/148.65 <=> V_m_2 = V_n_2 ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__less__cancel1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__mult__le__cancel1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_k_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__le__add__iff1,axiom,
% 148.73/148.65 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 148.73/148.65 => ( 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)))
% 148.73/148.65 <=> 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)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__diff__add__eq1,axiom,
% 148.73/148.65 ! [V_n,V_m,V_u,V_i,V_j] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 148.73/148.65 => 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) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_even__less__0__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_triple_Osize_I2_J,axiom,
% 148.73/148.65 ! [V_fun2_2,V_com_2,V_fun1_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card_Ounion__inter__neutral,axiom,
% 148.73/148.65 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.65 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.65 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_a),V_B_2)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__mono2,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.65 => ( ! [B_b] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_b))) )
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_fold__image__Un__one,axiom,
% 148.73/148.65 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.65 => ( ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 148.73/148.65 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.65 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_T_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Oclosed,axiom,
% 148.73/148.65 ! [V_A_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__Un__zero,axiom,
% 148.73/148.65 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.65 => ( ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 148.73/148.65 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_double__eq__0__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 148.73/148.65 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.65 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_card__Suc__eq,axiom,
% 148.73/148.65 ! [V_k_2,V_A_2,T_a] :
% 148.73/148.65 ( hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 148.73/148.65 <=> ? [B_b,B_B] :
% 148.73/148.65 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_a),B_b),B_B)
% 148.73/148.65 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_b),B_B))
% 148.73/148.65 & hAPP(c_Finite__Set_Ocard(T_a),B_B) = V_k_2
% 148.73/148.65 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.65 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__mono3,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,V_B_2,T_a,T_b] :
% 148.73/148.65 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.65 => ( ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2))) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_option_Osize_I2_J,axiom,
% 148.73/148.65 ! [V_a_2,V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,hAPP(c_Option_Ooption_OSome(T_a),V_a_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__odd__less__0,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),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)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.65 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_iso__tuple__UNIV__I,axiom,
% 148.73/148.65 ! [V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I4_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__0,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__add,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__mult,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__diff,axiom,
% 148.73/148.65 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__1,axiom,
% 148.73/148.65 ! [T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__minus,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Rings_Oring__1(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_option_Osize_I1_J,axiom,
% 148.73/148.65 ! [V_fa_2,T_a] : c_Option_Ooption_Ooption__size(T_a,V_fa_2,c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I7_J,axiom,
% 148.73/148.65 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I8_J,axiom,
% 148.73/148.65 ! [V_fun_2,V_pname_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I1_J,axiom,
% 148.73/148.65 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__double__eq__0__iff,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Int_Oring__char__0(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.65 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Ints__odd__nonzero,axiom,
% 148.73/148.65 ! [V_a_2,T_a] :
% 148.73/148.65 ( class_Int_Oring__char__0(T_a)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.65 => 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)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I6_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osize_I2_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osize_I4_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_option_Osize_I4_J,axiom,
% 148.73/148.65 ! [V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),hAPP(c_Option_Ooption_OSome(T_a),V_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_option_Osize_I3_J,axiom,
% 148.73/148.65 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I12_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I14_J,axiom,
% 148.73/148.65 ! [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))) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat__size,axiom,
% 148.73/148.65 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osize_I3_J,axiom,
% 148.73/148.65 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) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I15_J,axiom,
% 148.73/148.65 ! [V_pname] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I16_J,axiom,
% 148.73/148.65 ! [V_fun_2,V_pname_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OCall(V_vname_2,V_pname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_com_Osize_I9_J,axiom,
% 148.73/148.65 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_nat_Osize_I1_J,axiom,
% 148.73/148.65 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__nonneg__0,axiom,
% 148.73/148.65 ! [V_i_2,V_f_2,V_s_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 148.73/148.65 => ( ! [B_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 148.73/148.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 148.73/148.65 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__nonneg__leq__bound,axiom,
% 148.73/148.65 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Oordered__ab__group__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 148.73/148.65 => ( ! [B_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_s_2))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_i))) )
% 148.73/148.65 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_s_2) = V_B_2
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_s_2))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_INFI__fold__inf,axiom,
% 148.73/148.65 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.65 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.65 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_Inf__fin_Ohom__commute,axiom,
% 148.73/148.65 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.65 ( class_Lattices_Olattice(T_a)
% 148.73/148.65 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.65 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.65 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_a,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_ex__least__nat__less,axiom,
% 148.73/148.65 ! [V_n_2,V_P_2] :
% 148.73/148.65 ( ~ hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 148.73/148.65 => ( hBOOL(hAPP(V_P_2,V_n_2))
% 148.73/148.65 => ? [B_k] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 148.73/148.65 & ! [B_i] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 148.73/148.65 => ~ hBOOL(hAPP(V_P_2,B_i)) )
% 148.73/148.65 & 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)))) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_setsum__mono__zero__left,axiom,
% 148.73/148.65 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 148.73/148.65 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.65 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 148.73/148.65 => ( ! [B_x] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 148.73/148.65 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.65 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_INT__E,axiom,
% 148.73/148.65 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2)))
% 148.73/148.65 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_INT__D,axiom,
% 148.73/148.65 ! [V_a_2,V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.65 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 148.73/148.65 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_INF1__E,axiom,
% 148.73/148.65 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 148.73/148.65 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 148.73/148.65 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 148.73/148.65
% 148.73/148.65 fof(fact_INF1__D,axiom,
% 148.73/148.65 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.65 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF2__E,axiom,
% 148.73/148.66 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 148.73/148.66 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2))
% 148.73/148.66 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF2__D,axiom,
% 148.73/148.66 ! [V_a_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_ca_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__INT,axiom,
% 148.73/148.66 ! [V_A_2,T_b,V_I_2,T_a] :
% 148.73/148.66 ( ? [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_I_2))
% 148.73/148.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_A_2,B_x))) )
% 148.73/148.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I8_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I8_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INFI__apply,axiom,
% 148.73/148.66 ! [V_x_2,V_f_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,T_a)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_f_2),V_x_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__commute,axiom,
% 148.73/148.66 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),T_a,T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_a),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),T_a,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2)),hAPP(c_COMBC(T_b,T_c,T_a),V_f_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__iff,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,V_b_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I5_J,axiom,
% 148.73/148.66 ! [V_B_2,V_a_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I5_J,axiom,
% 148.73/148.66 ! [V_B_2,V_C_2,T_b,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_a),V_a_2)),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__subset__iff,axiom,
% 148.73/148.66 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.66 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.66 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.66 ( c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.66 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I10_J,axiom,
% 148.73/148.66 ! [V_f_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_B_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I10_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),V_B_2),V_f_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Un__INT__distrib2,axiom,
% 148.73/148.66 ! [V_B_2,V_J_2,T_c,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I6_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_C_2,T_b,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Un__INT__distrib,axiom,
% 148.73/148.66 ! [V_A_2,V_I_2,T_b,V_B_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I7_J,axiom,
% 148.73/148.66 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I6_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I7_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__Int__distrib,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_I_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I9_J,axiom,
% 148.73/148.66 ! [V_C_2,V_B_2,V_A_2,T_c,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I9_J,axiom,
% 148.73/148.66 ! [V_C_2,V_B_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),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_C_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_le__INF__iff,axiom,
% 148.73/148.66 ! [V_M_2,V_A_2,T_b,V_u_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_M_2)))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__less__iff,axiom,
% 148.73/148.66 ! [V_a_2,V_f_2,V_A_2,T_b,T_a] :
% 148.73/148.66 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 & class_Orderings_Olinorder(T_a) )
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),V_A_2),V_f_2)),V_a_2))
% 148.73/148.66 <=> ? [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__insert__distrib,axiom,
% 148.73/148.66 ! [V_B_2,V_a_2,T_b,V_A_2,V_u_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_u_2),V_A_2))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__lower,axiom,
% 148.73/148.66 ! [V_B_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__INT__eq,axiom,
% 148.73/148.66 ! [V_x_2,V_r_2,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b))),V_r_2)),V_x_2))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__absorb,axiom,
% 148.73/148.66 ! [V_A_2,T_b,V_I_2,V_k_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_k_2),V_I_2))
% 148.73/148.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__const,axiom,
% 148.73/148.66 ! [V_M_2,T_a,V_A_2,T_b] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),hAPP(c_COMBK(T_b,T_a),V_M_2)) = V_M_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__empty,axiom,
% 148.73/148.66 ! [V_B_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__constant,axiom,
% 148.73/148.66 ! [V_ca_2,T_b,T_a,V_A_2] :
% 148.73/148.66 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 148.73/148.66 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_ca_2)) = V_ca_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I2_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I1_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__insert,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_a_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__Un,axiom,
% 148.73/148.66 ! [V_M_2,V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,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_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_UN__extend__simps_I7_J,axiom,
% 148.73/148.66 ! [V_B_2,V_C_2,T_b,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_UN__simps_I7_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Compl__UN,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Compl__INT,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool))),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__subset,axiom,
% 148.73/148.66 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I2_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(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)) )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I1_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(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)) )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I3_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(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)) )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),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_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I3_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_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_B_2) )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_a,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_a),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__extend__simps_I4_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => 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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF__leI,axiom,
% 148.73/148.66 ! [V_M_2,V_A_2,V_i_2,T_a,T_b] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INT__simps_I4_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_b,T_a,V_C_2] :
% 148.73/148.66 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),hAPP(c_Groups_Ominus__class_Ominus(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)) )
% 148.73/148.66 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,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_a),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_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_inf__INFI__fold__inf,axiom,
% 148.73/148.66 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,T_b),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_setsum__mono__zero__right,axiom,
% 148.73/148.66 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 148.73/148.66 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 148.73/148.66 => ( ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 148.73/148.66 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__if,axiom,
% 148.73/148.66 ! [V_x,T_a] :
% 148.73/148.66 ( class_Groups_Osgn__if(T_a)
% 148.73/148.66 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 148.73/148.66 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__1__neg,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__neg,axiom,
% 148.73/148.66 ! [V_a,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__fold__inf,axiom,
% 148.73/148.66 ! [V_A_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),c_Orderings_Otop__class_Otop(T_a)),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_insert__fold1SetE,axiom,
% 148.73/148.66 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2)),V_x_2))
% 148.73/148.66 => ~ ! [B_a,B_A] :
% 148.73/148.66 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_x_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__Inter,axiom,
% 148.73/148.66 ! [V_M_2,T_a] :
% 148.73/148.66 ( ? [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_x),V_M_2))
% 148.73/148.66 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_x)) )
% 148.73/148.66 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_M_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_InterD,axiom,
% 148.73/148.66 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_InterE,axiom,
% 148.73/148.66 ! [V_X_2,V_C_2,V_A_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_C_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),V_X_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__def,axiom,
% 148.73/148.66 ! [V_S_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_a,tc_HOL_Obool))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF1__iff,axiom,
% 148.73/148.66 ! [V_b_2,V_B_2,V_A_2,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INF2__iff,axiom,
% 148.73/148.66 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_c,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__sgn,axiom,
% 148.73/148.66 ! [V_a,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => 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) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_le__Inf__iff,axiom,
% 148.73/148.66 ! [V_A_2,V_b_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__less__iff,axiom,
% 148.73/148.66 ! [V_a_2,V_S_2,T_a] :
% 148.73/148.66 ( ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 & class_Orderings_Olinorder(T_a) )
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_S_2)),V_a_2))
% 148.73/148.66 <=> ? [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_a_2)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Un__Inter,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn0,axiom,
% 148.73/148.66 ! [T_a] :
% 148.73/148.66 ( class_Groups_Osgn__if(T_a)
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__0__0,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.66 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__times,axiom,
% 148.73/148.66 ! [V_b,V_a,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_INTER__eq__Inter__image,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__image__eq,axiom,
% 148.73/148.66 ! [V_A_2,V_B_2,T_b,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__lower,axiom,
% 148.73/148.66 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__anti__mono,axiom,
% 148.73/148.66 ! [V_A_2,V_B_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__empty,axiom,
% 148.73/148.66 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__insert,axiom,
% 148.73/148.66 ! [V_B_2,V_a_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__UNIV,axiom,
% 148.73/148.66 ! [T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__lower,axiom,
% 148.73/148.66 ! [V_A_2,V_x_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)),V_x_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__Un__distrib,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Int__Inter__image,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_C_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(T_b,tc_fun(T_a,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__singleton,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__empty,axiom,
% 148.73/148.66 ! [T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__UNIV,axiom,
% 148.73/148.66 ! [T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__insert,axiom,
% 148.73/148.66 ! [V_A_2,V_a_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__greater,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Osgn__class_Osgn(T_a,V_a_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__less,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Int__eq__Inter,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__Un__subset,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__binary,axiom,
% 148.73/148.66 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a_2),V_b_2) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__1__pos,axiom,
% 148.73/148.66 ! [V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( c_Groups_Osgn__class_Osgn(T_a,V_a_2) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sgn__pos,axiom,
% 148.73/148.66 ! [V_a,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_inf__Inf__fold__inf,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_B_2),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__fin__Inf,axiom,
% 148.73/148.66 ! [V_A_2,T_a] :
% 148.73/148.66 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1Set_Oequations,axiom,
% 148.73/148.66 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_a,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2)),V_a3_2))
% 148.73/148.66 <=> ? [B_a,B_A] :
% 148.73/148.66 ( hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_a),B_a),B_A)
% 148.73/148.66 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_a,V_f_2,B_a,B_A),V_a3_2))
% 148.73/148.66 & ~ hBOOL(hAPP(hAPP(c_member(T_a),B_a),B_A)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__eq__fold,axiom,
% 148.73/148.66 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__Un,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.66 ( c_Finite__Set_Ofolding__image__simple(T_a,T_b,V_f_2,V_z_2,V_g_2,V_F_2)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 148.73/148.66 => ( ! [B_x] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 => hAPP(V_g_2,B_x) = V_z_2 )
% 148.73/148.66 => 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)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__insert,axiom,
% 148.73/148.66 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 148.73/148.66 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_b,T_a] :
% 148.73/148.66 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)),V_v_2))
% 148.73/148.66 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.66 => ~ ! [B_y] :
% 148.73/148.66 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 148.73/148.66 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_a,T_b,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__singleton,axiom,
% 148.73/148.66 ! [V_a_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__singleton__def,axiom,
% 148.73/148.66 ! [V_a_2,V_f_2,T_a,V_g_2] :
% 148.73/148.66 ( V_g_2 = c_Finite__Set_Ofold1(T_a,V_f_2)
% 148.73/148.66 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_a_2 ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_folding__one_Oeq__fold,axiom,
% 148.73/148.66 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 148.73/148.66 ( c_Finite__Set_Ofolding__one(T_a,V_f_2,V_F_2)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__def,axiom,
% 148.73/148.66 ! [V_A_2,V_f_2,T_a] : hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) = c_HOL_OThe(T_a,c_Finite__Set_Ofold1Set(T_a,V_f_2,V_A_2)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Sup__fin_OF__eq,axiom,
% 148.73/148.66 ! [V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Olattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inf__fin_OF__eq,axiom,
% 148.73/148.66 ! [V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Olattice(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__belowI,axiom,
% 148.73/148.66 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_below__fold1__iff,axiom,
% 148.73/148.66 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_A_2)))
% 148.73/148.66 <=> ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__insert__idem,axiom,
% 148.73/148.66 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__Un2,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.66 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_B_2)) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__eq__fold__idem,axiom,
% 148.73/148.66 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.66 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_semilattice__big_OF__eq,axiom,
% 148.73/148.66 ! [V_A_2,V_F_2,V_f_2,T_a] :
% 148.73/148.66 ( c_Big__Operators_Osemilattice__big(T_a,V_f_2,V_F_2)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,V_f_2),V_A_2) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_fold1__in,axiom,
% 148.73/148.66 ! [V_A_2,T_a] :
% 148.73/148.66 ( class_Groups_Oab__semigroup__mult(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_hom__fold1__commute,axiom,
% 148.73/148.66 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.66 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 148.73/148.66 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.66 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.66 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.66 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Inter__subset,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.66 ( ! [B_X] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_X),V_B_2)) )
% 148.73/148.66 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_arith__series__nat,axiom,
% 148.73/148.66 ! [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)))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__map__freshness,axiom,
% 148.73/148.66 ! [V_f_2,T_b,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,V_f_2)))
% 148.73/148.66 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 148.73/148.66 => ? [B_x] : hAPP(V_f_2,B_x) = c_Option_Ooption_ONone(T_b) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__lessThan,axiom,
% 148.73/148.66 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_UN__lessThan__UNIV,axiom,
% 148.73/148.66 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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__0,axiom,
% 148.73/148.66 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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__Suc,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_card__lessThan,axiom,
% 148.73/148.66 ! [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 ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__eq__iff,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.66 ( class_Orderings_Olinorder(T_a)
% 148.73/148.66 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)
% 148.73/148.66 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__iff,axiom,
% 148.73/148.66 ! [V_k_2,V_i_2,T_a] :
% 148.73/148.66 ( class_Orderings_Oord(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_i_2),V_k_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__subset__iff,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.66 ( class_Orderings_Olinorder(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_y_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_setsum__lessThan__Suc,axiom,
% 148.73/148.66 ! [V_n_2,V_f_2,T_a] :
% 148.73/148.66 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,V_n_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_lessThan__strict__subset__iff,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2,T_a] :
% 148.73/148.66 ( class_Orderings_Olinorder(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_m_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_n_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_n_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_single__Diff__lessThan,axiom,
% 148.73/148.66 ! [V_k_2,T_a] :
% 148.73/148.66 ( class_Orderings_Oorder(T_a)
% 148.73/148.66 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__nat__set__iff__bounded,axiom,
% 148.73/148.66 ! [V_N_2] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 148.73/148.66 <=> ? [B_m] :
% 148.73/148.66 ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 148.73/148.66 ! [V_N_2] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 148.73/148.66 <=> ? [B_m] :
% 148.73/148.66 ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_arith__series__general,axiom,
% 148.73/148.66 ! [V_n_2,V_d_2,V_a_2,T_a] :
% 148.73/148.66 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.66 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,tc_Nat_Onat),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Otimes__class_Otimes(T_a)),c_Nat_Osemiring__1__class_Oof__nat(T_a))),V_d_2))),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),V_d_2)))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OatMost__iff,axiom,
% 148.73/148.66 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatMost(T_a,V_less__eq_2,V_k_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OatLeast__iff,axiom,
% 148.73/148.66 ! [V_k_2,V_less__eq_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeast(T_a,V_less__eq_2,V_k_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OlessThan__iff,axiom,
% 148.73/148.66 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OlessThan(T_a,V_less_2,V_k_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OgreaterThan__iff,axiom,
% 148.73/148.66 ! [V_k_2,V_less_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThan(T_a,V_less_2,V_k_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 148.73/148.66 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_a,V_less__eq_2,V_l_2,V_u_2)))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_negative__zless,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__eq__iff,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2,T_a] :
% 148.73/148.66 ( class_Nat_Osemiring__char__0(T_a)
% 148.73/148.66 => ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)
% 148.73/148.66 <=> V_m_2 = V_n_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_infinite__UNIV__nat,axiom,
% 148.73/148.66 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__eq__0__conv,axiom,
% 148.73/148.66 ! [V_n_2] :
% 148.73/148.66 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.66 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__0,axiom,
% 148.73/148.66 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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__le__0__conv,axiom,
% 148.73/148.66 ! [V_n_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_negative__eq__positive,axiom,
% 148.73/148.66 ! [V_m_2,V_n_2] :
% 148.73/148.66 ( 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)
% 148.73/148.66 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.66 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__zle__neg,axiom,
% 148.73/148.66 ! [V_m_2,V_n_2] :
% 148.73/148.66 ( 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))))
% 148.73/148.66 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.66 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__Suc,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__iff__Suc__zadd,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 148.73/148.66 <=> ? [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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_not__zle__0__negative,axiom,
% 148.73/148.66 ! [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))))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_negative__zless__0,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__int,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__int__left,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__int,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__int,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__int,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__mult,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__1,axiom,
% 148.73/148.66 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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__setsum,axiom,
% 148.73/148.66 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__Suc0__eq__1,axiom,
% 148.73/148.66 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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zero__less__int__conv,axiom,
% 148.73/148.66 ! [V_n_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__zless__mono2__lemma,axiom,
% 148.73/148.66 ! [V_k,V_j,V_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__0__le__iff,axiom,
% 148.73/148.66 ! [V_n,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zero__le__imp__of__nat,axiom,
% 148.73/148.66 ! [V_m,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiff__int,axiom,
% 148.73/148.66 ! [V_m,V_n] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__less__0__iff,axiom,
% 148.73/148.66 ! [V_m,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ~ 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__0,axiom,
% 148.73/148.66 ! [T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => 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) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__less__imp__less,axiom,
% 148.73/148.66 ! [V_n,V_m,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ( 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)))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_less__imp__of__nat__less,axiom,
% 148.73/148.66 ! [V_n,V_m,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__less__iff,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__le__iff,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__add,axiom,
% 148.73/148.66 ! [V_n,V_m,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__mult,axiom,
% 148.73/148.66 ! [V_n,V_m,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__1,axiom,
% 148.73/148.66 ! [T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => 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) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Ints__of__nat,axiom,
% 148.73/148.66 ! [V_n_2,T_a] :
% 148.73/148.66 ( class_Rings_Oring__1(T_a)
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__setsum,axiom,
% 148.73/148.66 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__Suc,axiom,
% 148.73/148.66 ! [V_m,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__diff,axiom,
% 148.73/148.66 ! [V_m,V_n,T_a] :
% 148.73/148.66 ( class_Rings_Oring__1(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.66 => 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)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_setsum__constant,axiom,
% 148.73/148.66 ! [V_A_2,V_y_2,T_b,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_y_2) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__0__less__iff,axiom,
% 148.73/148.66 ! [V_n_2,T_a] :
% 148.73/148.66 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 148.73/148.66 ! [V_n_2,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_Groups_Oone__class_Oone(T_a)),V_n_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiff__int__split,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2,V_P_2] :
% 148.73/148.66 ( 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))))
% 148.73/148.66 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 148.73/148.66 => 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)))) )
% 148.73/148.66 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 148.73/148.66 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_setsum__bounded,axiom,
% 148.73/148.66 ! [V_K_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.66 ( ( class_Groups_Oordered__ab__semigroup__add(T_b)
% 148.73/148.66 & class_Rings_Osemiring__1(T_b) )
% 148.73/148.66 => ( ! [B_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_A_2))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_i)),V_K_2)) )
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_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_a),V_A_2))),V_K_2))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 148.73/148.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 148.73/148.66 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_a,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 148.73/148.66 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_a,V_less_2,V_l_2,V_u_2)))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 148.73/148.66 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_negative__zle,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_negative__zle__0,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__less__0__conv,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zero__zle__int,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_not__int__zless__negative,axiom,
% 148.73/148.66 ! [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)))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__int__eq,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2] :
% 148.73/148.66 ( 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)
% 148.73/148.66 <=> V_m_2 = V_n_2 ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__iff__zadd,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 148.73/148.66 <=> ? [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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__strict__right__mono,axiom,
% 148.73/148.66 ! [V_k,V_j,V_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 148.73/148.66 => 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__add1__eq,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( 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))))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 148.73/148.66 | V_w_2 = V_z_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__zless__mono,axiom,
% 148.73/148.66 ! [V_z,V_z_H,V_w,V_w_H] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__imp__add1__zle,axiom,
% 148.73/148.66 ! [V_z,V_w] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_add1__zle__eq,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( 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))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__add1__eq__le,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( 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))))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__assoc,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__left__commute,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__commute,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__left__mono,axiom,
% 148.73/148.66 ! [V_k,V_j,V_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 148.73/148.66 => 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__refl,axiom,
% 148.73/148.66 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__linear,axiom,
% 148.73/148.66 ! [V_w,V_z] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 148.73/148.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__trans,axiom,
% 148.73/148.66 ! [V_k,V_j,V_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__antisym,axiom,
% 148.73/148.66 ! [V_w,V_z] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 148.73/148.66 => V_z = V_w ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__le,axiom,
% 148.73/148.66 ! [V_w_2,V_z_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 148.73/148.66 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 148.73/148.66 & V_z_2 != V_w_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zle__diff1__eq,axiom,
% 148.73/148.66 ! [V_z_2,V_w_2] :
% 148.73/148.66 ( 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))))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zless__linear,axiom,
% 148.73/148.66 ! [V_y,V_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 148.73/148.66 | V_x = V_y
% 148.73/148.66 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zminus__zminus,axiom,
% 148.73/148.66 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 148.73/148.66
% 148.73/148.66 fof(fact_diff__int__def__symmetric,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_diff__int__def,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zminus__zadd__distrib,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_odd__less__0,axiom,
% 148.73/148.66 ! [V_z_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_odd__nonzero,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_le__imp__0__less,axiom,
% 148.73/148.66 ! [V_z] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.66 => 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__zmult__distrib,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__zmult__distrib2,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__0__right,axiom,
% 148.73/148.66 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__0,axiom,
% 148.73/148.66 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__1__right,axiom,
% 148.73/148.66 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__1,axiom,
% 148.73/148.66 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__0__neq__1,axiom,
% 148.73/148.66 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__assoc,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__commute,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiff__zmult__distrib2,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiff__zmult__distrib,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__one__le__iff__zero__less,axiom,
% 148.73/148.66 ! [V_z_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_less__bin__lemma,axiom,
% 148.73/148.66 ! [V_l_2,V_k_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 148.73/148.66 <=> 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_int__0__less__1,axiom,
% 148.73/148.66 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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_pos__zmult__eq__1__iff,axiom,
% 148.73/148.66 ! [V_n_2,V_m_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 148.73/148.66 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 148.73/148.66 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 148.73/148.66 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__zless__mono2,axiom,
% 148.73/148.66 ! [V_k,V_j,V_i] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zmult__zminus,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zminus__0,axiom,
% 148.73/148.66 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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zadd__zminus__inverse2,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zsgn__def,axiom,
% 148.73/148.66 ! [V_i] :
% 148.73/148.66 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 148.73/148.66 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 148.73/148.66 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 148.73/148.66 => 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)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 148.73/148.66 ! [V_i_2,V_inc_2,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 148.73/148.66 ! [V_i_2,V_n_2,V_inc_2,T_a] :
% 148.73/148.66 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.66 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,hAPP(c_Nat_OSuc,V_n_2),V_i_2) = c_Nat_Osemiring__1__class_Oof__nat__aux(T_a,V_inc_2,V_n_2,hAPP(V_inc_2,V_i_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_self__quotient__aux2,axiom,
% 148.73/148.66 ! [V_q,V_r,V_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.66 => ( 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))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_self__quotient__aux1,axiom,
% 148.73/148.66 ! [V_q,V_r,V_a] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.66 => ( 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))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_q__pos__lemma,axiom,
% 148.73/148.66 ! [V_r_H,V_q_H,V_b_H] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_q__neg__lemma,axiom,
% 148.73/148.66 ! [V_r_H,V_q_H,V_b_H] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_unique__quotient__lemma,axiom,
% 148.73/148.66 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiv__mono2__lemma,axiom,
% 148.73/148.66 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 148.73/148.66 ( 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)
% 148.73/148.66 => ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 148.73/148.66 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 148.73/148.66 ( 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)
% 148.73/148.66 => ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_unique__quotient__lemma__neg,axiom,
% 148.73/148.66 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 148.73/148.66 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 148.73/148.66 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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2] :
% 148.73/148.66 ( 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)))
% 148.73/148.66 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 148.73/148.66 ! [V_y,V_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 148.73/148.66 ! [V_A_2,V_x_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 148.73/148.66 <=> 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2] :
% 148.73/148.66 ( V_A_2 = V_B_2
% 148.73/148.66 <=> 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) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.66 <=> 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2] :
% 148.73/148.66 ( 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)
% 148.73/148.66 <=> V_x_2 = V_y_2 ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 148.73/148.66 ! [V_B_2,V_A_2] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.66 <=> 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 148.73/148.66 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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 148.73/148.66 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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 148.73/148.66 ! [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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 148.73/148.66 ! [V_A_2] :
% 148.73/148.66 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 148.73/148.66 <=> 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))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 148.73/148.66 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)) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 148.73/148.66 ! [V_y,V_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.66 => 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))) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 148.73/148.66 ! [V_P_2] :
% 148.73/148.66 ( ? [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.66 & hBOOL(hAPP(V_P_2,B_x)) )
% 148.73/148.66 <=> ? [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 148.73/148.66 ! [V_P_2] :
% 148.73/148.66 ( ! [B_x] :
% 148.73/148.66 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.66 => hBOOL(hAPP(V_P_2,B_x)) )
% 148.73/148.66 <=> ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 148.73/148.66 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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_small_H_Osimps,axiom,
% 148.73/148.66 ! [V_f_2,V_i_2,V_d_2] :
% 148.73/148.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 148.73/148.66 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 148.73/148.66 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_tsub__def,axiom,
% 148.73/148.66 ! [V_x,V_y] :
% 148.73/148.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 148.73/148.66 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 148.73/148.66 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 148.73/148.66 ! [V_x_2,V_y_2,V_ca_2] :
% 148.73/148.66 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 148.73/148.66 => 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_ca_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_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 148.73/148.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 148.73/148.66 => 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_ca_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))) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 148.73/148.66 => 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_ca_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)) ) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_greaterThan__0,axiom,
% 148.73/148.66 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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_sum__diff__distrib,axiom,
% 148.73/148.66 ! [V_n_2,V_P_2,V_Q_2] :
% 148.73/148.66 ( ! [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)))
% 148.73/148.66 => 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)) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_setsum__natinterval__difff,axiom,
% 148.73/148.66 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 148.73/148.66 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.66 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a),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)))) )
% 148.73/148.66 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.66 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),tc_Nat_Onat),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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_a) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__atLeastLessThan,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_finite__atLeastAtMost,axiom,
% 148.73/148.66 ! [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))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_greaterThan__eq__iff,axiom,
% 148.73/148.66 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.66 ( class_Orderings_Olinorder(T_a)
% 148.73/148.66 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)
% 148.73/148.66 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 148.73/148.66 ! [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) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_infinite__UNIV__int,axiom,
% 148.73/148.66 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ivl__disj__un_I21_J,axiom,
% 148.73/148.66 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.66 ( class_Orderings_Olinorder(T_a)
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.66 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.66 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.66
% 148.73/148.66 fof(fact_ivl__disj__int_I15_J,axiom,
% 148.73/148.66 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.66 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I7_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__eq__iff,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 148.73/148.67 <=> ( V_a_2 = V_ca_2
% 148.73/148.67 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 148.73/148.67 => V_a_2 = V_ca_2 ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_d_2))
% 148.73/148.67 => V_b_2 = V_d_2 ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__add__Un,axiom,
% 148.73/148.67 ! [V_k_2,V_j_2,V_i_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 148.73/148.67 => 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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan0,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast0LessThan,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I6_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_subset__card__intvl__is__intvl,axiom,
% 148.73/148.67 ! [V_k_2,V_A_2] :
% 148.73/148.67 ( 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)))))
% 148.73/148.67 => 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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atLeastLessThan,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastatMost__empty__iff2,axiom,
% 148.73/148.67 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastatMost__empty__iff,axiom,
% 148.73/148.67 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastatMost__empty,axiom,
% 148.73/148.67 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_a_2))
% 148.73/148.67 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastatMost__subset__iff,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 148.73/148.67 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 148.73/148.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__Suc__atLeastLessThan,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__empty,axiom,
% 148.73/148.67 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 148.73/148.67 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 148.73/148.67 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__empty__iff,axiom,
% 148.73/148.67 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastAtMost__singleton,axiom,
% 148.73/148.67 ! [V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 148.73/148.67 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))
% 148.73/148.67 <=> ( V_a_2 = V_b_2
% 148.73/148.67 & V_b_2 = V_ca_2 ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastAtMost__singleton_H,axiom,
% 148.73/148.67 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( V_a_2 = V_b_2
% 148.73/148.67 => c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__subset__iff,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_a_2))
% 148.73/148.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2)) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 148.73/148.67 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I17_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 148.73/148.67 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__atLeastAtMost,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__diff,axiom,
% 148.73/148.67 ! [V_m_2,V_n_2,V_i_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_n_2))
% 148.73/148.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_i_2),V_n_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_n_2),V_m_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I11_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__Suc__atLeastAtMost,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 148.73/148.67 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Nat_Onat),V_f_2),c_Nat_OSuc)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_m_2,V_n_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 148.73/148.67 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__add__atLeastLessThan,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__add__atLeastAtMost,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__add__nat__ivl,axiom,
% 148.73/148.67 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 148.73/148.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_p_2)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__diff__nat__ivl,axiom,
% 148.73/148.67 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Oab__group__add(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 148.73/148.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_n_2),V_p_2)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThan__iff,axiom,
% 148.73/148.67 ! [V_k_2,V_i_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oord(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_i_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThan__subset__iff,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_y_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atLeastAtMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastAtMostSuc__conv,axiom,
% 148.73/148.67 ! [V_n_2,V_m_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThan__singleton,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 148.73/148.67 ! [V_k_2,V_f_2] :
% 148.73/148.67 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__UN__finite__eq,axiom,
% 148.73/148.67 ! [V_A_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,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_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastatMost__psubset__iff,axiom,
% 148.73/148.67 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)))
% 148.73/148.67 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 148.73/148.67 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_a_2))
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),V_d_2))
% 148.73/148.67 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),V_a_2))
% 148.73/148.67 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),V_d_2)) ) ) )
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),V_d_2)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I4_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I8_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I2_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 148.73/148.67 ! [V_k_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__head__upt__Suc,axiom,
% 148.73/148.67 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2)),V_n_2))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_INT__greaterThan__UNIV,axiom,
% 148.73/148.67 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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__head__Suc,axiom,
% 148.73/148.67 ! [V_f_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_f_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m_2),V_n_2))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThanSuc,axiom,
% 148.73/148.67 ! [V_n_2,V_m_2] :
% 148.73/148.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => 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)) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__op__ivl__Suc,axiom,
% 148.73/148.67 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.67 => 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__greaterThan,axiom,
% 148.73/148.67 ! [V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__lessThan,axiom,
% 148.73/148.67 ! [V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThan__Suc,axiom,
% 148.73/148.67 ! [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)))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__cl__ivl__Suc,axiom,
% 148.73/148.67 ! [V_f_2,V_m_2,V_n_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_tsub__eq,axiom,
% 148.73/148.67 ! [V_x,V_y] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 148.73/148.67 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__ub__add__nat,axiom,
% 148.73/148.67 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( 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))))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),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)))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_gauss__sum,axiom,
% 148.73/148.67 ! [V_n_2,T_a] :
% 148.73/148.67 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.67 => 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(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),c_Nat_Osemiring__1__class_Oof__nat(T_a)),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ex__nat__less,axiom,
% 148.73/148.67 ! [V_P_2,V_n_2] :
% 148.73/148.67 ( ? [B_m] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,B_m)) )
% 148.73/148.67 <=> ? [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_all__nat__less,axiom,
% 148.73/148.67 ! [V_P_2,V_n_2] :
% 148.73/148.67 ( ! [B_m] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,B_m)) )
% 148.73/148.67 <=> ! [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ex__nat__less__eq,axiom,
% 148.73/148.67 ! [V_P_2,V_n_2] :
% 148.73/148.67 ( ? [B_m] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,B_m)) )
% 148.73/148.67 <=> ? [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_all__nat__less__eq,axiom,
% 148.73/148.67 ! [V_P_2,V_n_2] :
% 148.73/148.67 ( ! [B_m] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,B_m)) )
% 148.73/148.67 <=> ! [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__finite2__subset,axiom,
% 148.73/148.67 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 148.73/148.67 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)))
% 148.73/148.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__finite2__eq,axiom,
% 148.73/148.67 ! [V_B_2,V_k_2,V_A_2,T_a] :
% 148.73/148.67 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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)
% 148.73/148.67 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__atLeastAtMost__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__atLeastLessThan__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__add__int__atLeastLessThan,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_simp__from__to,axiom,
% 148.73/148.67 ! [V_i_2,V_j_2] :
% 148.73/148.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 148.73/148.67 => 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)) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I6_J,axiom,
% 148.73/148.67 ! [V_A_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( 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))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 148.73/148.67 => 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)) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I8_J,axiom,
% 148.73/148.67 ! [V_B_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( 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))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 148.73/148.67 => 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))) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I3_J,axiom,
% 148.73/148.67 ! [V_B_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( 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))
% 148.73/148.67 => ( ! [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xa] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 148.73/148.67 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 148.73/148.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I3_J,axiom,
% 148.73/148.67 ! [V_A_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( 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))
% 148.73/148.67 => ( ! [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xa] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 148.73/148.67 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 148.73/148.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I5_J,axiom,
% 148.73/148.67 ! [V_A_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 148.73/148.67 => 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)) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I4_J,axiom,
% 148.73/148.67 ! [V_A_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( B_x != V_t_2
% 148.73/148.67 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I4_J,axiom,
% 148.73/148.67 ! [V_B_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( B_x != V_t_2
% 148.73/148.67 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I7_J,axiom,
% 148.73/148.67 ! [V_B_2,V_t_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 148.73/148.67 => 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))) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I6_J,axiom,
% 148.73/148.67 ! [V_t_2,V_B_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 148.73/148.67 => 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)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I8_J,axiom,
% 148.73/148.67 ! [V_t_2,V_A_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 148.73/148.67 => 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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_periodic__finite__ex,axiom,
% 148.73/148.67 ! [V_P_2,V_d_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 148.73/148.67 => ( ! [B_x,B_k] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,B_x))
% 148.73/148.67 <=> 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)))) )
% 148.73/148.67 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 148.73/148.67 <=> ? [B_x] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_aset_I7_J,axiom,
% 148.73/148.67 ! [V_t_2,V_A_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 148.73/148.67 => 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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_bset_I5_J,axiom,
% 148.73/148.67 ! [V_t_2,V_B_2,V_D_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( ! [B_xa] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 => ! [B_xb] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 148.73/148.67 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 148.73/148.67 => 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)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__Suc,axiom,
% 148.73/148.67 ! [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)))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__finite__subset,axiom,
% 148.73/148.67 ! [V_C_2,V_A_2,T_a] :
% 148.73/148.67 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))
% 148.73/148.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__eq__iff,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)
% 148.73/148.67 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__iff,axiom,
% 148.73/148.67 ! [V_k_2,V_i_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oord(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_k_2),V_i_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__subset__iff,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_y_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_x_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__0,axiom,
% 148.73/148.67 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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Compl__lessThan,axiom,
% 148.73/148.67 ! [V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Compl__atLeast,axiom,
% 148.73/148.67 ! [V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_k_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast__Suc__greaterThan,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I14_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I8_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__atLeast__UNIV,axiom,
% 148.73/148.67 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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I1_J,axiom,
% 148.73/148.67 ! [V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I13_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_l_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__le__eq__Un0,axiom,
% 148.73/148.67 ! [V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I18_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I3_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_l_2),V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I5_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 148.73/148.67 ! [V_u_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 148.73/148.67 => 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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__greaterThanAtMost,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__greaterThanLessThan,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__greaterThanAtMost__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__greaterThanLessThan__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_finite__atMost,axiom,
% 148.73/148.67 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__eq__iff,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)
% 148.73/148.67 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__int,axiom,
% 148.73/148.67 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__greaterThanAtMost__int,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I10_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I9_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I3_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I1_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I16_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 148.73/148.67 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__0,axiom,
% 148.73/148.67 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 148.73/148.67 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 148.73/148.67 <=> V_x_2 = V_y_2 ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_all__nat,axiom,
% 148.73/148.67 ! [V_P_2] :
% 148.73/148.67 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 148.73/148.67 <=> ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ex__nat,axiom,
% 148.73/148.67 ! [V_P_2] :
% 148.73/148.67 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 148.73/148.67 <=> ? [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.67 & hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_eq__nat__nat__iff,axiom,
% 148.73/148.67 ! [V_z_H_2,V_z_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 148.73/148.67 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 148.73/148.67 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 148.73/148.67 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I7_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 148.73/148.67 ! [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 ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__greaterThanLessThan__int,axiom,
% 148.73/148.67 ! [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)))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I4_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I19_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThanAtMost__empty,axiom,
% 148.73/148.67 ! [V_k_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 148.73/148.67 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 148.73/148.67 ! [V_l_2,V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 148.73/148.67 ! [V_l_2,V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_k_2,V_l_2)
% 148.73/148.67 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_k_2),V_l_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeast0AtMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I20_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 148.73/148.67 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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_greaterThanLessThan__empty,axiom,
% 148.73/148.67 ! [V_k_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_k_2))
% 148.73/148.67 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I14_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_lessThan__Suc__atMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__le__0,axiom,
% 148.73/148.67 ! [V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__0__iff,axiom,
% 148.73/148.67 ! [V_i_2] :
% 148.73/148.67 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__mono__iff,axiom,
% 148.73/148.67 ! [V_w_2,V_z_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 148.73/148.67 => ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_zless__nat__conj,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__Suc,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__iff,axiom,
% 148.73/148.67 ! [V_k_2,V_i_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oord(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_i_2),V_k_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 148.73/148.67 => ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__1,axiom,
% 148.73/148.67 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__0__le,axiom,
% 148.73/148.67 ! [V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_int__eq__iff,axiom,
% 148.73/148.67 ! [V_z_2,V_m_2] :
% 148.73/148.67 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 148.73/148.67 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 148.73/148.67 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_int__nat__eq,axiom,
% 148.73/148.67 ! [V_z] :
% 148.73/148.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => 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) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_zless__nat__eq__int__zless,axiom,
% 148.73/148.67 ! [V_z_2,V_m_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 148.73/148.67 <=> 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__subset__iff,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_y_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__zminus__int,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__greaterThanAtMost,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Compl__atMost,axiom,
% 148.73/148.67 ! [V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Compl__greaterThan,axiom,
% 148.73/148.67 ! [V_k_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_k_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 148.73/148.67 ! [V_A_2,V_f_2,T_a] :
% 148.73/148.67 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atLeastLessThan__int,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_zero__less__nat__eq,axiom,
% 148.73/148.67 ! [V_z_2] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 148.73/148.67 => ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__less__eq__zless,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__eq__iff2,axiom,
% 148.73/148.67 ! [V_w_2,V_m_2] :
% 148.73/148.67 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 148.73/148.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__eq__iff,axiom,
% 148.73/148.67 ! [V_m_2,V_w_2] :
% 148.73/148.67 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 148.73/148.67 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__le__eq__zle,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2] :
% 148.73/148.67 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 148.73/148.67 => ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_split__nat,axiom,
% 148.73/148.67 ! [V_i_2,V_P_2] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,hAPP(c_Int_Onat,V_i_2)))
% 148.73/148.67 <=> ( ! [B_n] :
% 148.73/148.67 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 148.73/148.67 => hBOOL(hAPP(V_P_2,B_n)) )
% 148.73/148.67 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__add__distrib,axiom,
% 148.73/148.67 ! [V_z_H,V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__mult__distrib,axiom,
% 148.73/148.67 ! [V_z_H,V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__diff__distrib,axiom,
% 148.73/148.67 ! [V_z,V_z_H] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 148.73/148.67 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I22_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I16_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__atMost__UNIV,axiom,
% 148.73/148.67 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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__atLeastLessThan,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__atMost__Suc,axiom,
% 148.73/148.67 ! [V_n_2,V_f_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I13_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I12_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__0,axiom,
% 148.73/148.67 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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I9_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I11_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__greaterThanLessThan,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I5_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__int_I6_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_UN__le__add__shift,axiom,
% 148.73/148.67 ! [V_k_2,V_M_2,V_n_2,T_a] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_a,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_a,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_a,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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__atMost,axiom,
% 148.73/148.67 ! [V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_image__uminus__atLeast,axiom,
% 148.73/148.67 ! [V_x_2,T_a] :
% 148.73/148.67 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.67 => hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_one__less__nat__eq,axiom,
% 148.73/148.67 ! [V_z_2] :
% 148.73/148.67 ( 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)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__less__iff,axiom,
% 148.73/148.67 ! [V_m_2,V_w_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 148.73/148.67 <=> 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 148.73/148.67 ! [V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__mult__distrib__neg,axiom,
% 148.73/148.67 ! [V_z_H,V_z] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => 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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__atLeastAtMost__int,axiom,
% 148.73/148.67 ! [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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I15_J,axiom,
% 148.73/148.67 ! [V_u_2,V_m_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_m_2))
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_m_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_setsum__head,axiom,
% 148.73/148.67 ! [V_P_2,V_n_2,V_m_2,T_a] :
% 148.73/148.67 ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(V_P_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),V_P_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I2_J,axiom,
% 148.73/148.67 ! [V_u_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I10_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_a),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_u_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_atMost__Int__atLeast,axiom,
% 148.73/148.67 ! [V_n_2,T_a] :
% 148.73/148.67 ( class_Orderings_Oorder(T_a)
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_ivl__disj__un_I12_J,axiom,
% 148.73/148.67 ! [V_u_2,V_l_2,T_a] :
% 148.73/148.67 ( class_Orderings_Olinorder(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_l_2),V_u_2))
% 148.73/148.67 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_a),V_l_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__aux__def,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__morphism__nat__int,axiom,
% 148.73/148.67 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))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 148.73/148.67 ! [V_n_2,V_m_2] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 148.73/148.67 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 148.73/148.67 => 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__of__nat,axiom,
% 148.73/148.67 ! [V_k,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => 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)))) )
% 148.73/148.67 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => 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)) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => 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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__eq__iff,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2,T_a] :
% 148.73/148.67 ( class_Int_Oring__char__0(T_a)
% 148.73/148.67 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 148.73/148.67 <=> V_w_2 = V_z_2 ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 148.73/148.67 ! [V_x_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 148.73/148.67 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 148.73/148.67 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__int__eq,axiom,
% 148.73/148.67 ! [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) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => ( V_A_2 = V_B_2
% 148.73/148.67 <=> 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) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 148.73/148.67 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.67 => ( c_Nat__Transfer_Ois__nat(V_y)
% 148.73/148.67 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 148.73/148.67 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 148.73/148.67 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.67 => ( c_Nat__Transfer_Ois__nat(V_y)
% 148.73/148.67 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 148.73/148.67 ! [V_y,V_x] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.67 => ( c_Nat__Transfer_Ois__nat(V_y)
% 148.73/148.67 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 148.73/148.67 ! [V_A_2,V_x_2] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 148.73/148.67 <=> 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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__eq__0__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Int_Oring__char__0(T_a)
% 148.73/148.67 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.67 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__0__eq__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Int_Oring__char__0(T_a)
% 148.73/148.67 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)
% 148.73/148.67 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__0,axiom,
% 148.73/148.67 ! [T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 148.73/148.67 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__le__iff,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__less__iff,axiom,
% 148.73/148.67 ! [V_z_2,V_w_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__add,axiom,
% 148.73/148.67 ! [V_z,V_w,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__mult,axiom,
% 148.73/148.67 ! [V_z,V_w,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__1,axiom,
% 148.73/148.67 ! [T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__diff,axiom,
% 148.73/148.67 ! [V_z,V_w,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__of__nat__eq,axiom,
% 148.73/148.67 ! [V_n,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__minus,axiom,
% 148.73/148.67 ! [V_z,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Ints__of__int,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_nat__set__def,axiom,
% 148.73/148.67 ! [V_S_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_S_2)
% 148.73/148.67 <=> ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 148.73/148.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_is__nat__def,axiom,
% 148.73/148.67 ! [V_x_2] :
% 148.73/148.67 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 148.73/148.67 ! [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)) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__setsum,axiom,
% 148.73/148.67 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 148.73/148.67 ! [V_y_2,V_x_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 148.73/148.67 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 148.73/148.67 ! [V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => 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 ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 148.73/148.67 ! [V_x_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 148.73/148.67 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__0__le__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__le__0__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__0__less__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__int__less__0__iff,axiom,
% 148.73/148.67 ! [V_z_2,T_a] :
% 148.73/148.67 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.67 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_of__nat__nat,axiom,
% 148.73/148.67 ! [V_z,T_a] :
% 148.73/148.67 ( class_Rings_Oring__1(T_a)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.67 => 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) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 148.73/148.67 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.67 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 148.73/148.67 ! [V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 148.73/148.67 <=> 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))) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 148.73/148.67 ! [V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.67 <=> 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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 148.73/148.67 ! [V_B_2,V_A_2] :
% 148.73/148.67 ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.67 <=> 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))) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 148.73/148.67 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.67 ( ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.67 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_decr__mult__lemma,axiom,
% 148.73/148.67 ! [V_k_2,V_P_2,V_d_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 148.73/148.67 => ( ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,B_x))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,B_x))
% 148.73/148.67 => 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)))) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_negD,axiom,
% 148.73/148.67 ! [V_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.67 => ? [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))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_incr__mult__lemma,axiom,
% 148.73/148.67 ! [V_k_2,V_P_2,V_d_2] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 148.73/148.67 => ( ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,B_x))
% 148.73/148.67 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 148.73/148.67 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.67 => ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(V_P_2,B_x))
% 148.73/148.67 => 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)))) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_zero__less__imp__eq__int,axiom,
% 148.73/148.67 ! [V_k] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 148.73/148.67 => ? [B_n] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 148.73/148.67 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_incr__lemma,axiom,
% 148.73/148.67 ! [V_x,V_z,V_d] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 148.73/148.67 => 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)))) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_decr__lemma,axiom,
% 148.73/148.67 ! [V_z,V_x,V_d] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 148.73/148.67 => 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)) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 148.73/148.67 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 148.73/148.67 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.67 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.67 => ( V_A_2 = V_B_2
% 148.73/148.67 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.67 => ( ! [B_x] :
% 148.73/148.67 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.67 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 148.73/148.67 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 148.73/148.67
% 148.73/148.67 fof(fact_card__less__Suc,axiom,
% 148.73/148.67 ! [V_i_2,V_M_2] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 148.73/148.68 => 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))))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_card__less,axiom,
% 148.73/148.68 ! [V_i_2,V_M_2] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_CollectI,axiom,
% 148.73/148.68 ! [T_a,V_a_2,V_P_2] :
% 148.73/148.68 ( hBOOL(hAPP(V_P_2,V_a_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__conjI,axiom,
% 148.73/148.68 ! [V_Q_2,V_P_2,T_a] :
% 148.73/148.68 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) )
% 148.73/148.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__abs,axiom,
% 148.73/148.68 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__less__nat,axiom,
% 148.73/148.68 ! [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)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__le__nat,axiom,
% 148.73/148.68 ! [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)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__abs__ge__zero,axiom,
% 148.73/148.68 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__of__nat,axiom,
% 148.73/148.68 ! [V_n,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__add__abs,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__mult__self,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__mult,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__minus__commute,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__one,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__empty__eq,axiom,
% 148.73/148.68 ! [V_P_2,T_a] :
% 148.73/148.68 ( hAPP(c_Set_OCollect(T_a),V_P_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_empty__Collect__eq,axiom,
% 148.73/148.68 ! [V_P_2,T_a] :
% 148.73/148.68 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),V_P_2)
% 148.73/148.68 <=> ! [B_x] : ~ hBOOL(hAPP(V_P_2,B_x)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__idempotent,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__def,axiom,
% 148.73/148.68 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),V_P_2) = V_P_2 ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__eq__0,axiom,
% 148.73/148.68 ! [V_a_2,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__zero,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__le__D1,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__ge__self,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__minus__cancel,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__int__eq,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__mem__eq,axiom,
% 148.73/148.68 ! [V_A_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)) = V_A_2 ).
% 148.73/148.68
% 148.73/148.68 fof(fact_mem__Collect__eq,axiom,
% 148.73/148.68 ! [V_P_2,V_a_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 <=> hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_CollectD,axiom,
% 148.73/148.68 ! [V_P_2,V_a_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_CollectE,axiom,
% 148.73/148.68 ! [V_P_2,V_a_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 => hBOOL(hAPP(V_P_2,V_a_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_empty__def,axiom,
% 148.73/148.68 ! [T_a] : c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__disjI,axiom,
% 148.73/148.68 ! [V_Q_2,V_P_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2))))
% 148.73/148.68 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_Q_2))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_insert__Collect,axiom,
% 148.73/148.68 ! [V_P_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Set_OCollect(T_a),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)))),V_P_2)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__setsum__abs,axiom,
% 148.73/148.68 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_UNIV__def,axiom,
% 148.73/148.68 ! [T_a] : c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fTrue)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__disj__eq,axiom,
% 148.73/148.68 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__conj__eq,axiom,
% 148.73/148.68 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__neg__eq,axiom,
% 148.73/148.68 ! [V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__of__nonneg,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__le__zero__iff,axiom,
% 148.73/148.68 ! [V_a_2,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.68 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__ge__zero,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__of__pos,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_zero__less__abs__iff,axiom,
% 148.73/148.68 ! [V_a_2,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)))
% 148.73/148.68 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__not__less__zero,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ~ 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__triangle__ineq,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__mult__less,axiom,
% 148.73/148.68 ! [V_d,V_b,V_c,V_a,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 148.73/148.68 => 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))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__triangle__ineq2__sym,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__triangle__ineq2,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__triangle__ineq3,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__le__D2,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__leI,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__le__iff,axiom,
% 148.73/148.68 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),V_b_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__ge__minus__self,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__less__iff,axiom,
% 148.73/148.68 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a_2)),V_b_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),V_b_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_2)),V_b_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__zmult__eq__1,axiom,
% 148.73/148.68 ! [V_n,V_m] :
% 148.73/148.68 ( 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)
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__sgn,axiom,
% 148.73/148.68 ! [V_k,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_mult__sgn__abs,axiom,
% 148.73/148.68 ! [V_x,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => 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 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_insert__compr,axiom,
% 148.73/148.68 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_insert__compr__raw,axiom,
% 148.73/148.68 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Un__def,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__Collect,axiom,
% 148.73/148.68 ! [V_P_2,V_A_2,V_x_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__def,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__conv__if,axiom,
% 148.73/148.68 ! [T_a,V_a_2,V_P_2] :
% 148.73/148.68 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 148.73/148.68 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 148.73/148.68 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__conv__if2,axiom,
% 148.73/148.68 ! [T_a,V_a_2,V_P_2] :
% 148.73/148.68 ( ( hBOOL(hAPP(V_P_2,V_a_2))
% 148.73/148.68 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(V_P_2,V_a_2))
% 148.73/148.68 => hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(c_fequal,V_a_2))),V_P_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_singleton__conv,axiom,
% 148.73/148.68 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_singleton__conv2,axiom,
% 148.73/148.68 ! [V_a_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_set__diff__eq,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__not,axiom,
% 148.73/148.68 ! [V_P_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))))
% 148.73/148.68 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_insert__def,axiom,
% 148.73/148.68 ! [V_B_2,V_a_2,T_a] : hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Compl__eq,axiom,
% 148.73/148.68 ! [V_A_2,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__imp__eq,axiom,
% 148.73/148.68 ! [V_Q_2,V_P_2,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2)),V_Q_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(c_Set_OCollect(T_a),V_Q_2)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_dom__def,axiom,
% 148.73/148.68 ! [V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,tc_Option_Ooption(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),V_m_2)),c_Option_Ooption_ONone(T_b)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__M__bounded__by__nat,axiom,
% 148.73/148.68 ! [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))))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__eq__mult,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Rings_Oordered__ring__abs(T_a)
% 148.73/148.68 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 148.73/148.68 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__mult__pos,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__diff__triangle__ineq,axiom,
% 148.73/148.68 ! [V_d,V_c,V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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))))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__triangle__ineq4,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__of__nonpos,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__minus__le__zero,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__of__neg,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_abs__if,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Groups_Oabs__if(T_a)
% 148.73/148.68 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_zabs__less__one__iff,axiom,
% 148.73/148.68 ! [V_z_2] :
% 148.73/148.68 ( 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)))
% 148.73/148.68 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_zabs__def,axiom,
% 148.73/148.68 ! [V_i] :
% 148.73/148.68 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.68 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_nat__abs__mult__distrib,axiom,
% 148.73/148.68 ! [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))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__setsum__restrict,axiom,
% 148.73/148.68 ! [V_R_2,V_f_2,V_T_2,T_b,V_S_2,T_a,T_c] :
% 148.73/148.68 ( class_Groups_Ocomm__monoid__add(T_c)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,T_c),tc_fun(tc_fun(T_a,tc_HOL_Obool),T_c),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c)),hAPP(c_COMBC(T_a,T_b,T_c),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_if__image__distrib,axiom,
% 148.73/148.68 ! [V_S_2,V_g_2,V_f_2,V_P_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),V_P_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),V_P_2)))),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_P_2))))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Collect__all__eq,axiom,
% 148.73/148.68 ! [V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),V_P_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_dom__if,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,V_P_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_Option_Ooption(T_b)),hAPP(hAPP(c_COMBS(T_a,tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_Option_Ooption(T_b))),T_a),c_If(tc_Option_Ooption(T_b))),V_P_2)),V_f_2)),V_g_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_g_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_nat__seg__image__imp__finite,axiom,
% 148.73/148.68 ! [V_n_2,V_f_2,T_a,V_A_2] :
% 148.73/148.68 ( V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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)))
% 148.73/148.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__restrict__set_H,axiom,
% 148.73/148.68 ! [V_B_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.68 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__image__gen,axiom,
% 148.73/148.68 ! [V_f_2,T_c,V_g_2,V_S_2,T_a,T_b] :
% 148.73/148.68 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),T_b,T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_OCollect(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2)))),hAPP(c_COMBC(T_a,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_a),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_S_2)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__cases,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,V_P_2,V_A_2,T_a,T_b] :
% 148.73/148.68 ( class_Groups_Ocomm__monoid__add(T_b)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),V_P_2)),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_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_a),V_P_2))))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_card__less__Suc2,axiom,
% 148.73/148.68 ! [V_i_2,V_M_2] :
% 148.73/148.68 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 148.73/148.68 => 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))))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_dom__override__on,axiom,
% 148.73/148.68 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Fun_Ooverride__on(T_a,tc_Option_Ooption(T_b),V_f_2,V_g_2,V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_f_2)),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2)))))),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Map_Odom(T_a,T_b,V_g_2))))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__multicount,axiom,
% 148.73/148.68 ! [V_k_2,V_R_2,V_T_2,T_b,V_S_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 148.73/148.68 => ( ! [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_T_2))
% 148.73/148.68 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_S_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_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_b),V_T_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__multicount__gen,axiom,
% 148.73/148.68 ! [V_k_2,V_R_2,V_t_2,T_b,V_s_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_s_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_t_2))
% 148.73/148.68 => ( ! [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_t_2))
% 148.73/148.68 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_s_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 148.73/148.68 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_inf__Sup1__distrib,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_inf__Sup2__distrib,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__subsets,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__Collect__bounded__ex,axiom,
% 148.73/148.68 ! [V_Q_2,T_b,V_P_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),V_Q_2)))))
% 148.73/148.68 <=> ! [B_y] :
% 148.73/148.68 ( hBOOL(hAPP(V_P_2,B_y))
% 148.73/148.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_Q_2),B_y)))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__image__set,axiom,
% 148.73/148.68 ! [V_f_2,T_b,V_P_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),V_P_2)))
% 148.73/148.68 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,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_a),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_a)),c_fequal)),V_f_2)))),V_P_2))))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_override__on__apply__notin,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.68 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_override__on__apply__in,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_override__on__emptyset,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,T_b,T_a] : c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = V_f_2 ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 148.73/148.68 ! [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))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_override__on__def,axiom,
% 148.73/148.68 ! [V_g_2,V_f_2,T_b,V_A_2,V_a_2,T_a] :
% 148.73/148.68 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hAPP(c_Fun_Ooverride__on(T_a,T_b,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_ran__def,axiom,
% 148.73/148.68 ! [V_m_2,T_a,T_b] : c_Map_Oran(T_b,T_a,V_m_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_m_2))),c_Option_Ooption_OSome(T_a)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 148.73/148.68 ! [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)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 148.73/148.68 ! [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)))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_sup__Inf2__distrib,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_sup__Inf1__distrib,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Lattices_Odistrib__lattice(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_a,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_add__Min__commute,axiom,
% 148.73/148.68 ! [V_k_2,V_N_2,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.68 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_add__Max__commute,axiom,
% 148.73/148.68 ! [V_k_2,V_N_2,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__semigroup__add(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.68 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_a),V_k_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_N_2))))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_finite__conv__nat__seg__image,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_a,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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_int__val__lemma,axiom,
% 148.73/148.68 ! [V_k_2,V_f_2,V_n_2] :
% 148.73/148.68 ( ! [B_i] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 148.73/148.68 => 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))) )
% 148.73/148.68 => ( 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))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 148.73/148.68 => ? [B_i] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 148.73/148.68 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_nat0__intermed__int__val,axiom,
% 148.73/148.68 ! [V_k_2,V_f_2,V_n_2] :
% 148.73/148.68 ( ! [B_i] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 148.73/148.68 => 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))) )
% 148.73/148.68 => ( 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))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 148.73/148.68 => ? [B_i] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 148.73/148.68 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_minus__Min__eq__Max,axiom,
% 148.73/148.68 ! [V_S_2,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.68 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_minus__Max__eq__Min,axiom,
% 148.73/148.68 ! [V_S_2,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.68 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a)),V_S_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Osingleton,axiom,
% 148.73/148.68 ! [V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Osingleton,axiom,
% 148.73/148.68 ! [V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min__le,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_x_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max__ge,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max__in,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min__in,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max__mono,axiom,
% 148.73/148.68 ! [V_N_2,V_M_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 148.73/148.68 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min__antimono,axiom,
% 148.73/148.68 ! [V_N_2,V_M_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_M_2),V_N_2))
% 148.73/148.68 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_M_2))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oremove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oremove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_pigeonhole__infinite,axiom,
% 148.73/148.68 ! [V_f_2,T_b,V_A_2,T_a] :
% 148.73/148.68 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 148.73/148.68 => ? [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_diff__nat__eq__if,axiom,
% 148.73/148.68 ! [V_z_2,V_z_H_2] :
% 148.73/148.68 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 148.73/148.68 => 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) )
% 148.73/148.68 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_setsum__SucD,axiom,
% 148.73/148.68 ! [V_n_2,V_A_2,V_f_2,T_a] :
% 148.73/148.68 ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,V_n_2)
% 148.73/148.68 => ? [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 & 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))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__greaterThanLessThan,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__greaterThanAtMost,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastLessThan,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastAtMost,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__diff__distrib__left,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__diff__distrib__left,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__group__add(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_sup__max,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( ( class_Lattices_Osemilattice__sup(T_a)
% 148.73/148.68 & class_Orderings_Olinorder(T_a) )
% 148.73/148.68 => c_Lattices_Osemilattice__sup__class_Osup(T_a) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__0L,axiom,
% 148.73/148.68 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__0R,axiom,
% 148.73/148.68 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 148.73/148.68
% 148.73/148.68 fof(fact_inf__min,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.68 & class_Orderings_Olinorder(T_a) )
% 148.73/148.68 => c_Lattices_Osemilattice__inf__class_Oinf(T_a) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__0L,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__0R,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__Suc__Suc,axiom,
% 148.73/148.68 ! [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)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__Suc__Suc,axiom,
% 148.73/148.68 ! [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)) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__add__distrib__left,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Odistrib__inf__le,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Odistrib__sup__le,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 148.73/148.68 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 148.73/148.68 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__assoc,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf_Oassoc,axiom,
% 148.73/148.68 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__assoc,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup_Oassoc,axiom,
% 148.73/148.68 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__left__commute,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 148.73/148.68 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__left__commute,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 148.73/148.68 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__left__idem,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__left__idem,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__inf__absorb,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__commute,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf_Ocommute,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__commute,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup_Ocommute,axiom,
% 148.73/148.68 ! [V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oidem,axiom,
% 148.73/148.68 ! [V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf_Oidem,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oidem,axiom,
% 148.73/148.68 ! [V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup_Oidem,axiom,
% 148.73/148.68 ! [V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_minus__max__eq__min,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_minus__min__eq__max,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Olinordered__ab__group__add(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__less__iff__conj,axiom,
% 148.73/148.68 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__less__iff__disj,axiom,
% 148.73/148.68 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oless__infI1,axiom,
% 148.73/148.68 ! [V_b,V_x,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oless__infI2,axiom,
% 148.73/148.68 ! [V_a,V_x,V_b,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_less__max__iff__disj,axiom,
% 148.73/148.68 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_x_2))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z_2),V_y_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__less__iff__conj,axiom,
% 148.73/148.68 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),V_z_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y_2),V_z_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oless__supI1,axiom,
% 148.73/148.68 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 148.73/148.68 => 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))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oless__supI2,axiom,
% 148.73/148.68 ! [V_a,V_b,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 148.73/148.68 => 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))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__infE,axiom,
% 148.73/148.68 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( 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)))
% 148.73/148.68 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.68 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__mono,axiom,
% 148.73/148.68 ! [V_d,V_b,V_c,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 148.73/148.68 => 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))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__greatest,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 148.73/148.68 => 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))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__infI,axiom,
% 148.73/148.68 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 148.73/148.68 => 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))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__absorb2,axiom,
% 148.73/148.68 ! [V_x,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__absorb1,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__infI2,axiom,
% 148.73/148.68 ! [V_a,V_x,V_b,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__infI1,axiom,
% 148.73/148.68 ! [V_b,V_x,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.73/148.68 => 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)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__inf__iff,axiom,
% 148.73/148.68 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y_2),V_z_2)))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__iff__inf,axiom,
% 148.73/148.68 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.68 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2) = V_x_2 ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__le2,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__le1,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__le__iff__disj,axiom,
% 148.73/148.68 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),V_y_2)),V_z_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__supE,axiom,
% 148.73/148.68 ! [V_x,V_b,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( 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))
% 148.73/148.68 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.73/148.68 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__mono,axiom,
% 148.73/148.68 ! [V_d,V_b,V_c,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 148.73/148.68 => 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))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__least,axiom,
% 148.73/148.68 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 148.73/148.68 => 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)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__supI,axiom,
% 148.73/148.68 ! [V_b,V_x,V_a,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 148.73/148.68 => 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)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__absorb1,axiom,
% 148.73/148.68 ! [V_x,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__absorb2,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__supI2,axiom,
% 148.73/148.68 ! [V_a,V_b,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 148.73/148.68 => 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))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__supI1,axiom,
% 148.73/148.68 ! [V_b,V_a,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 148.73/148.68 => 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))) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__sup__iff,axiom,
% 148.73/148.68 ! [V_z_2,V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)),V_z_2))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_z_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y_2),V_z_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ole__iff__sup,axiom,
% 148.73/148.68 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 148.73/148.68 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2) = V_y_2 ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_le__maxI2,axiom,
% 148.73/148.68 ! [V_x,V_y,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_le__maxI1,axiom,
% 148.73/148.68 ! [V_y,V_x,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => 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))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_le__max__iff__disj,axiom,
% 148.73/148.68 ! [V_y_2,V_x_2,V_z_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),V_y_2)))
% 148.73/148.68 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_x_2))
% 148.73/148.68 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z_2),V_y_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__add__distrib__left,axiom,
% 148.73/148.68 ! [V_z,V_y,V_x,T_a] :
% 148.73/148.68 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 148.73/148.68 => 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)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__diff,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_not__neg__0,axiom,
% 148.73/148.68 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Finite__Set_Ofun__left__comm__idem(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_not__neg__int,axiom,
% 148.73/148.68 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_not__neg__1,axiom,
% 148.73/148.68 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_nat__minus__add__max,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_not__neg__eq__ge__0,axiom,
% 148.73/148.68 ! [V_x_2] :
% 148.73/148.68 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 148.73/148.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_neg__def,axiom,
% 148.73/148.68 ! [V_Z_2] :
% 148.73/148.68 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 148.73/148.68 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_neg__nat,axiom,
% 148.73/148.68 ! [V_z] :
% 148.73/148.68 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 148.73/148.68 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_not__neg__nat,axiom,
% 148.73/148.68 ! [V_z] :
% 148.73/148.68 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 148.73/148.68 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__Suc1,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__Suc2,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofold__sup__insert,axiom,
% 148.73/148.68 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofold__inf__insert,axiom,
% 148.73/148.68 ! [V_a_2,V_b_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oin__idem,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oin__idem,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastAtMostL1,axiom,
% 148.73/148.68 ! [V_d_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastAtMostR1,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_a),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_d_2)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastAtMostL2,axiom,
% 148.73/148.68 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_b_2) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Int__atLeastAtMostR2,axiom,
% 148.73/148.68 ! [V_d_2,V_ca_2,V_a_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_a),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_a,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_ca_2),V_d_2) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_OF__eq,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_OF__eq,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_neg__zminus__int,axiom,
% 148.73/148.68 ! [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))))) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__Suc2,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__Suc1,axiom,
% 148.73/148.68 ! [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) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 148.73/148.68 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_b_2),V_A_2))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 148.73/148.68 ! [V_b_2,V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),V_b_2))) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Ofold1__belowI,axiom,
% 148.73/148.68 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_a_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_fold1__below__iff,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 148.73/148.68 <=> ? [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 148.73/148.68 <=> ! [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_fold1__strict__below__iff,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)),V_x_2))
% 148.73/148.68 <=> ? [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_x_2)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_strict__below__fold1__iff,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2)))
% 148.73/148.68 <=> ! [B_x] :
% 148.73/148.68 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x_2),B_x)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max__insert,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min__insert,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Osubset__idem,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Osubset__idem,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max__Un,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min__Un,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 148.73/148.68 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 148.73/148.68 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oinsert,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oinsert,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_fold1__antimono,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oinsert__remove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Ounion__disjoint,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Ounion__inter,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_a,V_B_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oinsert__remove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Ounion__disjoint,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Ounion__inter,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_a,V_B_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Max_Oeq__fold_H,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_Min_Oeq__fold_H,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_dual__min,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Orderings_Oord_Omin(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omax(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_dual__max,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Orderings_Oord_Omax(T_a,hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a))) = c_Orderings_Oord__class_Omin(T_a) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_max__ord__max,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Oord(T_a)
% 148.73/148.68 => c_Orderings_Oord__class_Omax(T_a) = c_Orderings_Oord_Omax(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__ord__min,axiom,
% 148.73/148.68 ! [T_a] :
% 148.73/148.68 ( class_Orderings_Oord(T_a)
% 148.73/148.68 => c_Orderings_Oord__class_Omin(T_a) = c_Orderings_Oord_Omin(T_a,c_Orderings_Oord__class_Oless__eq(T_a)) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omin(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_sup__nat__def,axiom,
% 148.73/148.68 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_inf__nat__def,axiom,
% 148.73/148.68 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 148.73/148.68 ! [V_x_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 148.73/148.68 ! [V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omax(T_a)),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 148.73/148.68 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 148.73/148.68 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 148.73/148.68 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.68 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.68 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = V_x_2 )
% 148.73/148.68 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.68 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.73/148.68
% 148.73/148.68 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 148.73/148.68 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.68 ( class_Orderings_Olinorder(T_a)
% 148.73/148.68 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.68 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBS(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),T_a),c_COMBB(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal))),c_Orderings_Oord__class_Omax(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))))))) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Max_Oclosed,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 148.73/148.69 ! [V_x_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = V_x_2 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_a,c_Orderings_Oord__class_Omin(T_a)),V_A_2) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 148.73/148.69 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) = V_a_2 ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 148.73/148.69 ! [V_a_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_a_2),V_A_2) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = V_x_2 )
% 148.73/148.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_B_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_x_2),V_A_2) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = V_x_2 )
% 148.73/148.69 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__le__Sup,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_A_2))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Min_Oclosed,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),hAPP(hAPP(c_Set_Oinsert(T_a),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(T_a),c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2)),V_A_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 148.73/148.69 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.69 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 148.73/148.69 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.69 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Max_Ohom__commute,axiom,
% 148.73/148.69 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.69 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Min_Ohom__commute,axiom,
% 148.73/148.69 ! [V_N_2,V_h_2,T_a] :
% 148.73/148.69 ( class_Orderings_Olinorder(T_a)
% 148.73/148.69 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_N_2))
% 148.73/148.69 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_a,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_N_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oremove,axiom,
% 148.73/148.69 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_card__partition,axiom,
% 148.73/148.69 ! [V_k_2,V_C_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),V_C_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 148.73/148.69 => ( ! [B_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c),V_C_2))
% 148.73/148.69 => hAPP(c_Finite__Set_Ocard(T_a),B_c) = V_k_2 )
% 148.73/148.69 => ( ! [B_c1] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c1),V_C_2))
% 148.73/148.69 => ! [B_c2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_c2),V_C_2))
% 148.73/148.69 => ( B_c1 != B_c2
% 148.73/148.69 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 148.73/148.69 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__1,axiom,
% 148.73/148.69 ! [V_A_2,T_b,T_a] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Oone__class_Oone(T_a))),V_A_2) = c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__timesf,axiom,
% 148.73/148.69 ! [V_A_2,V_g_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),V_A_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_int__setprod,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_of__nat__setprod,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 & class_Rings_Osemiring__1(T_a) )
% 148.73/148.69 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),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,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,T_b),c_Nat_Osemiring__1__class_Oof__nat(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_a] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_a),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_of__int__setprod,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 & class_Rings_Oring__1(T_a) )
% 148.73/148.69 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,T_b),c_Int_Oring__1__class_Oof__int(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_abs__setprod,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),c_Groups_Oabs__class_Oabs(T_a)),V_f_2)),V_A_2) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 148.73/148.69 ! [V_A_2,V_f_2,T_a] :
% 148.73/148.69 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.69 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__zero__iff,axiom,
% 148.73/148.69 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( ( class_Rings_Ocomm__semiring__1(T_b)
% 148.73/148.69 & class_Rings_Ono__zero__divisors(T_b) )
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b)
% 148.73/148.69 <=> ? [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.69 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__zero,axiom,
% 148.73/148.69 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ? [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.69 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__empty,axiom,
% 148.73/148.69 ! [V_f_2,T_b,T_a] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oempty,axiom,
% 148.73/148.69 ! [V_g_2,T_b,T_a] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oinfinite,axiom,
% 148.73/148.69 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__infinite,axiom,
% 148.73/148.69 ! [V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__eq__1__iff,axiom,
% 148.73/148.69 ! [V_f_2,V_F_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 148.73/148.69 <=> ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_F_2))
% 148.73/148.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 148.73/148.69 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.69 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.69 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.69 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_a,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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Odistrib,axiom,
% 148.73/148.69 ! [V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Groups_Otimes__class_Otimes(T_b)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_h_2),V_A_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__pos__nat__iff,axiom,
% 148.73/148.69 ! [V_f_2,V_S_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( 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_a,tc_Nat_Onat),V_f_2),V_S_2)))
% 148.73/148.69 <=> ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__delta_H,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__delta,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_b))),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__insert,axiom,
% 148.73/148.69 ! [V_f_2,V_a_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oinsert,axiom,
% 148.73/148.69 ! [V_g_2,V_x_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__Un__Int,axiom,
% 148.73/148.69 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Ounion__inter,axiom,
% 148.73/148.69 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oeq__fold,axiom,
% 148.73/148.69 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_OF__eq,axiom,
% 148.73/148.69 ! [V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),c_Groups_Oone__class_Oone(T_b)),V_A_2) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Oinsert__remove,axiom,
% 148.73/148.69 ! [V_x_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Ounion__disjoint,axiom,
% 148.73/148.69 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__Un__disjoint,axiom,
% 148.73/148.69 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__Un__one,axiom,
% 148.73/148.69 ! [V_f_2,V_T_2,V_S_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)))
% 148.73/148.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 148.73/148.69 ! [V_g_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.69 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_B_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__gen__delta,axiom,
% 148.73/148.69 ! [V_ca_2,V_b_2,V_a_2,V_S_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_S_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBC(T_a,T_b,T_b),hAPP(hAPP(c_COMBS(T_a,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_a),c_If(T_b)),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_ca_2),hAPP(c_Finite__Set_Ocard(T_a),V_S_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__diff1,axiom,
% 148.73/148.69 ! [V_a_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Fields_Ofield(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_b)
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 148.73/148.69 ! [V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_of__int__power,axiom,
% 148.73/148.69 ! [V_n,V_z,T_a] :
% 148.73/148.69 ( class_Rings_Oring__1(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zpower__zpower,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_diff__divide__distrib,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 148.73/148.69 ! [V_q,V_y,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__zero,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__zero__left,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_int__power,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zpower__int,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_times__divide__eq__right,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_add__divide__distrib,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 148.73/148.69 ! [V_q,V_p,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_minus__divide__left,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__1,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 148.73/148.69 ! [V_n,V_x] :
% 148.73/148.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.69 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__power__eq,axiom,
% 148.73/148.69 ! [V_n,V_z] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 148.73/148.69 ! [V_n,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setsum__divide__distrib,axiom,
% 148.73/148.69 ! [V_r_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Rings_Oinverse__class_Odivide(T_a)),V_f_2)),V_r_2)),V_A_2) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__eq__divide__eq,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 148.73/148.69 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__divide__eq__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 148.73/148.69 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__eq__imp,axiom,
% 148.73/148.69 ! [V_a,V_b,V_c,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_eq__divide__imp,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 148.73/148.69 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__self__if,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 148.73/148.69 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 148.73/148.69 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__self,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_right__inverse__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.69 <=> V_a_2 = V_b_2 ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__minus__divide__divide,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__minus__divide__right,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Rings_Odivision__ring(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 148.73/148.69 ! [V_q,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 148.73/148.69 ! [V_q,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 148.73/148.69 ! [V_q,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 148.73/148.69 ! [V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 148.73/148.69 ! [V_q,V_p,V_x,T_a] :
% 148.73/148.69 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 148.73/148.69 ! [V_n,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zpower__zadd__distrib,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Ints__power,axiom,
% 148.73/148.69 ! [V_n_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Rings_Oring__1(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Int_Oring__1__class_OInts(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)),c_Int_Oring__1__class_OInts(T_a))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__dividef,axiom,
% 148.73/148.69 ! [V_g_2,V_f_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(hAPP(c_COMBS(T_a,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_a),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),V_A_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_geometric__sum,axiom,
% 148.73/148.69 ! [V_n_2,V_x_2,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_x_2 != c_Groups_Oone__class_Oone(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_Power_Opower__class_Opower(T_a),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_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x_2),c_Groups_Oone__class_Oone(T_a))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__le__zpower__abs,axiom,
% 148.73/148.69 ! [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))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__constant,axiom,
% 148.73/148.69 ! [V_y_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_COMBK(T_b,T_a),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__eq__if,axiom,
% 148.73/148.69 ! [V_p,V_m] :
% 148.73/148.69 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 148.73/148.69 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => 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)))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__less__zpower__abs__iff,axiom,
% 148.73/148.69 ! [V_n_2,V_x_2] :
% 148.73/148.69 ( 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)))
% 148.73/148.69 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__strict__mono,axiom,
% 148.73/148.69 ! [V_n,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__diff,axiom,
% 148.73/148.69 ! [V_m,V_n,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_one__less__power,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__le__imp__le__exp,axiom,
% 148.73/148.69 ! [V_n,V_m,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_field__power__not__zero,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 148.73/148.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__Suc__0,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 148.73/148.69 ! [V_m_2,V_x_2] :
% 148.73/148.69 ( 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))
% 148.73/148.69 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__zero__less__power__iff,axiom,
% 148.73/148.69 ! [V_n_2,V_x_2] :
% 148.73/148.69 ( 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)))
% 148.73/148.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 148.73/148.69 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__power__less__imp__less,axiom,
% 148.73/148.69 ! [V_n,V_m,V_i] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__mult__distrib,axiom,
% 148.73/148.69 ! [V_n,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__commutes,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__one,axiom,
% 148.73/148.69 ! [V_n,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_of__nat__power,axiom,
% 148.73/148.69 ! [V_n,V_m,T_a] :
% 148.73/148.69 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__mult,axiom,
% 148.73/148.69 ! [V_n,V_m,V_a,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__divide,axiom,
% 148.73/148.69 ! [V_n,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__abs,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__one__right,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__le__power,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__mono,axiom,
% 148.73/148.69 ! [V_n,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__less__power,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__eq__0__iff,axiom,
% 148.73/148.69 ! [V_n_2,V_a_2,T_a] :
% 148.73/148.69 ( ( class_Power_Opower(T_a)
% 148.73/148.69 & class_Rings_Omult__zero(T_a)
% 148.73/148.69 & class_Rings_Ono__zero__divisors(T_a)
% 148.73/148.69 & class_Rings_Ozero__neq__one(T_a) )
% 148.73/148.69 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_one__le__power,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__0__Suc,axiom,
% 148.73/148.69 ! [V_n,T_a] :
% 148.73/148.69 ( ( class_Power_Opower(T_a)
% 148.73/148.69 & class_Rings_Osemiring__0(T_a) )
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__inject__exp,axiom,
% 148.73/148.69 ! [V_n_2,V_m_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a_2))
% 148.73/148.69 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a_2),V_n_2)
% 148.73/148.69 <=> V_m_2 = V_n_2 ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__Suc,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Power_Opower(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__Suc2,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__one__le__power,axiom,
% 148.73/148.69 ! [V_n,V_i] :
% 148.73/148.69 ( 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))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__0,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Power_Opower(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__add,axiom,
% 148.73/148.69 ! [V_n,V_m,V_a,T_a] :
% 148.73/148.69 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__power__divide,axiom,
% 148.73/148.69 ! [V_n,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__one__over,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_abs__power__minus,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__less__imp__less__base,axiom,
% 148.73/148.69 ! [V_b,V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__inject__base,axiom,
% 148.73/148.69 ! [V_b,V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( 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))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.69 => V_a = V_b ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__le__imp__le__base,axiom,
% 148.73/148.69 ! [V_b,V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( 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))))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__less__power__Suc,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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)))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__gt1__lemma,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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)))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__0__left,axiom,
% 148.73/148.69 ! [V_n,T_a] :
% 148.73/148.69 ( ( class_Power_Opower(T_a)
% 148.73/148.69 & class_Rings_Osemiring__0(T_a) )
% 148.73/148.69 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => 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) )
% 148.73/148.69 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => 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) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__gt1,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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)))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__strict__increasing__iff,axiom,
% 148.73/148.69 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__less__imp__less__exp,axiom,
% 148.73/148.69 ! [V_n,V_m,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__strict__increasing,axiom,
% 148.73/148.69 ! [V_a,V_N,V_n,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__le__power__abs,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__increasing,axiom,
% 148.73/148.69 ! [V_a,V_N,V_n,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__minus,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Oring__1(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__Suc__less,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__eq__imp__eq__base,axiom,
% 148.73/148.69 ! [V_b,V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( 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)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => V_a = V_b ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__Suc__less__one,axiom,
% 148.73/148.69 ! [V_n,V_a,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__strict__decreasing,axiom,
% 148.73/148.69 ! [V_a,V_N,V_n,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__decreasing,axiom,
% 148.73/148.69 ! [V_a,V_N,V_n,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__increasing__iff,axiom,
% 148.73/148.69 ! [V_y_2,V_x_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_b_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b_2),V_y_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__left__mono__neg,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__left__mono,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__divide__le__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__le__divide__eq,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_times__divide__times__eq,axiom,
% 148.73/148.69 ! [V_w,V_z,V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_minus__divide__right,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_minus__divide__divide,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_abs__divide,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__right__mono__neg,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__right__mono,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__le__0__iff,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__le__divide__iff,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( 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_a_2),V_b_2)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__strict__right__mono__neg,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__strict__right__mono,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__neg__neg,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__neg__pos,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__pos__neg,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__pos__pos,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__less__0__iff,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) )
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zero__less__divide__iff,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( 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_a_2),V_b_2)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b_2)) )
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_eq__divide__eq,axiom,
% 148.73/148.69 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 148.73/148.69 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) = V_b_2 )
% 148.73/148.69 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__eq__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = V_a_2
% 148.73/148.69 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2) )
% 148.73/148.69 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__divide__mult__cancel__right,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__divide__mult__cancel__left,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_frac__eq__eq,axiom,
% 148.73/148.69 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w_2),V_z_2)
% 148.73/148.69 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w_2),V_y_2) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonzero__abs__divide,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__nonneg__pos,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__nonneg__neg,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_frac__less2,axiom,
% 148.73/148.69 ! [V_z,V_w,V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 148.73/148.69 => 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))) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_frac__less,axiom,
% 148.73/148.69 ! [V_z,V_w,V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 148.73/148.69 => 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))) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_frac__le,axiom,
% 148.73/148.69 ! [V_z,V_w,V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 148.73/148.69 => 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))) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__nonpos__pos,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__nonpos__neg,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_less__divide__eq,axiom,
% 148.73/148.69 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__less__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__less__divide__eq,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__divide__less__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__imp__div__pos__less,axiom,
% 148.73/148.69 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__imp__less__div__pos,axiom,
% 148.73/148.69 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => ( 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))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__less__divide__eq,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__divide__less__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__strict__left__mono,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__strict__left__mono__neg,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_add__frac__eq,axiom,
% 148.73/148.69 ! [V_w,V_x,V_z,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__add__eq__iff,axiom,
% 148.73/148.69 ! [V_y,V_x,V_z,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_add__frac__num,axiom,
% 148.73/148.69 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_add__divide__eq__iff,axiom,
% 148.73/148.69 ! [V_y,V_x,V_z,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_add__num__frac,axiom,
% 148.73/148.69 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.69 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_diff__divide__eq__iff,axiom,
% 148.73/148.69 ! [V_y,V_x,V_z,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__diff__eq__iff,axiom,
% 148.73/148.69 ! [V_y,V_x,V_z,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_diff__frac__eq,axiom,
% 148.73/148.69 ! [V_w,V_x,V_z,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Ofield(T_a)
% 148.73/148.69 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_gt__half__sum,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_less__half__sum,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 148.73/148.69 => 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))))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_abs__div__pos,axiom,
% 148.73/148.69 ! [V_x,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_le__divide__eq,axiom,
% 148.73/148.69 ! [V_ca_2,V_b_2,V_a_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divide__le__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__le__divide__eq,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2)),V_b_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__divide__le__eq,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2,V_ca_2,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),V_a_2))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_ca_2))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__imp__div__pos__le,axiom,
% 148.73/148.69 ! [V_z,V_x,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mult__imp__le__div__pos,axiom,
% 148.73/148.69 ! [V_x,V_z,V_y,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field(T_a)
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.69 => ( 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))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 148.73/148.69 ! [V_f_2,V_A_2,T_a] :
% 148.73/148.69 ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.69 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,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_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_a),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__Un,axiom,
% 148.73/148.69 ! [V_f_2,V_B_2,V_A_2,T_a,T_b] :
% 148.73/148.69 ( class_Fields_Ofield(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))
% 148.73/148.69 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_card__Pow,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.69 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),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_a),V_A_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power__power__power,axiom,
% 148.73/148.69 ! [T_a] :
% 148.73/148.69 ( class_Power_Opower(T_a)
% 148.73/148.69 => c_Power_Opower__class_Opower(T_a) = c_Power_Opower_Opower(T_a,c_Groups_Oone__class_Oone(T_a),c_Groups_Otimes__class_Otimes(T_a)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_PowI,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_image__Pow__surj,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,V_f_2,T_a,T_b] :
% 148.73/148.69 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_B_2
% 148.73/148.69 => hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(c_Set_OPow(T_a),V_B_2) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__top,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Union__Pow__eq,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_OPow(T_a),V_A_2)) = V_A_2 ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Cantors__paradox,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ~ ? [B_f] : hAPP(c_Set_Oimage(T_a,tc_fun(T_a,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_a),V_A_2) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__not__empty,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__INT__eq,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__bottom,axiom,
% 148.73/148.69 ! [V_B_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Set_OPow(T_a),V_B_2))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_PowD,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__iff,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),V_B_2)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__mono,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__def,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),V_A_2)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_finite__Pow__iff,axiom,
% 148.73/148.69 ! [V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)))
% 148.73/148.69 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_subset__Pow__Union,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_A_2)))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power_Opower_Opower__0,axiom,
% 148.73/148.69 ! [V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 148.73/148.69
% 148.73/148.69 fof(fact_power_Opower_Opower__Suc,axiom,
% 148.73/148.69 ! [V_n_2,V_a_2,V_times_2,V_one_2,T_a] : hAPP(hAPP(c_Power_Opower_Opower(T_a,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_a,V_one_2,V_times_2),V_a_2),V_n_2)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__insert,axiom,
% 148.73/148.69 ! [V_A_2,V_a_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_a),V_a_2)),hAPP(c_Set_OPow(T_a),V_A_2))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__UNIV,axiom,
% 148.73/148.69 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_UN__Pow__subset,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_b),c_Set_OPow(T_a)),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__Int__eq,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_image__Pow__mono,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)),V_B_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Set_Oimage(T_b,T_a,V_f_2)),hAPP(c_Set_OPow(T_b),V_A_2))),hAPP(c_Set_OPow(T_a),V_B_2))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__Compl,axiom,
% 148.73/148.69 ! [V_A_2,T_a] : hAPP(c_Set_OPow(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_a))))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Pow__empty,axiom,
% 148.73/148.69 ! [T_a] : hAPP(c_Set_OPow(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Un__Pow__subset,axiom,
% 148.73/148.69 ! [V_B_2,V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_a),V_A_2)),hAPP(c_Set_OPow(T_a),V_B_2))),hAPP(c_Set_OPow(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Powp__Pow__eq,axiom,
% 148.73/148.69 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_a),V_A_2))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_int__power__div__base,axiom,
% 148.73/148.69 ! [V_k,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 148.73/148.69 => 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)))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__mono__one__left,axiom,
% 148.73/148.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 148.73/148.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__mono__one__right,axiom,
% 148.73/148.69 ! [V_f_2,V_S_2,V_T_2,T_a,T_b] :
% 148.73/148.69 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.69 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_T_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_S_2),V_T_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_T_2),V_S_2)))
% 148.73/148.69 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_S_2) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_field__le__mult__one__interval,axiom,
% 148.73/148.69 ! [V_y,V_x,T_a] :
% 148.73/148.69 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.69 => ( ! [B_z] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.69 => 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)) ) )
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zminus__zminus,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zminus2,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zero,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__by__0,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__0,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.69 => ( c_Nat__Transfer_Ois__nat(V_y)
% 148.73/148.69 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__by__1,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__neg__pos__less0,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__self,axiom,
% 148.73/148.69 ! [V_a] :
% 148.73/148.69 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__mult1,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__mult2,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self1__is__id,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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 ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self2__is__id,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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 ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__mult1__if,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) )
% 148.73/148.69 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__self,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__eq__0__iff,axiom,
% 148.73/148.69 ! [V_k_2,V_i_2] :
% 148.73/148.69 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 148.73/148.69 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 148.73/148.69 ! [V_i_2,V_k_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 148.73/148.69 ! [V_b_2,V_a_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__mono2,axiom,
% 148.73/148.69 ! [V_b,V_b_H,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__nonneg__neg__le0,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__pos__pos__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 148.73/148.69 ! [V_a_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__nonpos__pos__le0,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__mono2__neg,axiom,
% 148.73/148.69 ! [V_b,V_b_H,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__neg__neg__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__mono1,axiom,
% 148.73/148.69 ! [V_b,V_a_H,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__mono1__neg,axiom,
% 148.73/148.69 ! [V_b,V_a_H,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_int__div__less__self,axiom,
% 148.73/148.69 ! [V_k,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zmult2__eq,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self1,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self2,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__add__self1,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__add__self2,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divmod__int__rel__div__eq,axiom,
% 148.73/148.69 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 148.73/148.69 ( 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)
% 148.73/148.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 148.73/148.69 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__zdiv,axiom,
% 148.73/148.69 ! [V_k_2,V_n_2,V_P_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 148.73/148.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 148.73/148.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.69 => ! [B_i] :
% 148.73/148.69 ( ? [B_j] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(V_P_2,B_i)) ) )
% 148.73/148.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ! [B_i] :
% 148.73/148.69 ( ? [B_j] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_z3div__def,axiom,
% 148.73/148.69 ! [V_k,V_l] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 148.73/148.69 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 148.73/148.69 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_a] :
% 148.73/148.69 ( ( class_Groups_Ocomm__monoid__add(T_a)
% 148.73/148.69 & class_Groups_Ocomm__monoid__mult(T_a) )
% 148.73/148.69 => ( V_A_2 = V_B_2
% 148.73/148.69 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 148.73/148.69 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 148.73/148.69 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_a),V_g_2),V_B_2) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__neg__lemma,axiom,
% 148.73/148.69 ! [V_n_2,V_P_2,V_k_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> ! [B_i,B_j] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__pos__lemma,axiom,
% 148.73/148.69 ! [V_n_2,V_P_2,V_k_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 <=> ! [B_i,B_j] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult2__eq,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__le__dividend,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__le__mono,axiom,
% 148.73/148.69 ! [V_k,V_n,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( c_Nat__Transfer_Ois__nat(V_x)
% 148.73/148.69 => ( c_Nat__Transfer_Ois__nat(V_y)
% 148.73/148.69 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zero,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__self,axiom,
% 148.73/148.69 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mod__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__0,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__by__0,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__self,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__minus__eq,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__minus__cong,axiom,
% 148.73/148.69 ! [V_a_H,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__diff__cong,axiom,
% 148.73/148.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 148.73/148.69 => 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) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__diff__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__diff__left__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__diff__right__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Oring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__right__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__left__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__mult1,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__mult2,axiom,
% 148.73/148.69 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__simps_I4_J,axiom,
% 148.73/148.69 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__cong,axiom,
% 148.73/148.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 148.73/148.69 => 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) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__self2,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__self1,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__right__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__left__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__eq,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__simps_I2_J,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__simps_I1_J,axiom,
% 148.73/148.69 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__add__cong,axiom,
% 148.73/148.69 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 148.73/148.69 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 148.73/148.69 => 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) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zmult1__eq,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__simps_I3_J,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus2,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus__zminus,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zminus__zmod,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiff__zmod__left,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiff__zmod__right,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zpower__zmod,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__self2__is__0,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__self1__is__0,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__self2,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__self1,axiom,
% 148.73/148.69 ! [V_b,V_c,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__by__1,axiom,
% 148.73/148.69 ! [V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__div__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__1,axiom,
% 148.73/148.69 ! [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 ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__less,axiom,
% 148.73/148.69 ! [V_n,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__mult__div__cancel__disj,axiom,
% 148.73/148.69 ! [V_n,V_m,V_k] :
% 148.73/148.69 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => 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) )
% 148.73/148.69 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__le__nonneg__dividend,axiom,
% 148.73/148.69 ! [V_k,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__mod__bound,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__mod__bound,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__int,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__eq__0__iff,axiom,
% 148.73/148.69 ! [V_d_2,V_m_2] :
% 148.73/148.69 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus2__not__zero,axiom,
% 148.73/148.69 ! [V_l,V_k] :
% 148.73/148.69 ( 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)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus1__not__zero,axiom,
% 148.73/148.69 ! [V_l,V_k] :
% 148.73/148.69 ( 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)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_DIVISION__BY__ZERO,axiom,
% 148.73/148.69 ! [V_a] :
% 148.73/148.69 ( 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)
% 148.73/148.69 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zdiv__trivial,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zadd1__eq,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__div__equality2,axiom,
% 148.73/148.69 ! [V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__div__equality,axiom,
% 148.73/148.69 ! [V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mod__equality2,axiom,
% 148.73/148.69 ! [V_c,V_a,V_b,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mod__equality,axiom,
% 148.73/148.69 ! [V_c,V_b,V_a,T_a] :
% 148.73/148.69 ( class_Divides_Osemiring__div(T_a)
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__le__mono2,axiom,
% 148.73/148.69 ! [V_k,V_n,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__mult__div__cancel1,axiom,
% 148.73/148.69 ! [V_n,V_m,V_k] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 148.73/148.69 => 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) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self1__is__m,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => 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 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__mult__self__is__m,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => 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 ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__less__dividend,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__neg__neg__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__mod__conj,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 & 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))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_neg__mod__sign,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__pos__pos__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__mod__conj,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 & 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_pos__mod__sign,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 148.73/148.69 => 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))) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus1__eq__if,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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) )
% 148.73/148.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zminus2__eq__if,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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) )
% 148.73/148.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zdiv__equality,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zmult1__eq,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zmod__equality,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zmod__equality2,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zdiv__equality_H,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmult__div__cancel,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__if,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__geq,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__div,axiom,
% 148.73/148.69 ! [V_k_2,V_n_2,V_P_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 148.73/148.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 148.73/148.69 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 => ! [B_i,B_j] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 148.73/148.69 => ( 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)
% 148.73/148.69 => hBOOL(hAPP(V_P_2,B_i)) ) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_nat__div__distrib,axiom,
% 148.73/148.69 ! [V_y,V_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__pos__neg__trivial,axiom,
% 148.73/148.69 ! [V_b,V_a] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.69 => ( 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)))
% 148.73/148.69 => 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) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_le__div__geq,axiom,
% 148.73/148.69 ! [V_m,V_n] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__div_H,axiom,
% 148.73/148.69 ! [V_n_2,V_m_2,V_P_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 148.73/148.69 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.69 & hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 148.73/148.69 | ? [B_q] :
% 148.73/148.69 ( 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))
% 148.73/148.69 & 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))))
% 148.73/148.69 & hBOOL(hAPP(V_P_2,B_q)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__div__lemma,axiom,
% 148.73/148.69 ! [V_m_2,V_q_2,V_n_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 148.73/148.69 => ( ( 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))
% 148.73/148.69 & 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)))) )
% 148.73/148.69 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_split__zmod,axiom,
% 148.73/148.69 ! [V_k_2,V_n_2,V_P_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 148.73/148.69 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 148.73/148.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 148.73/148.69 => ! [B_i,B_j] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(V_P_2,B_j)) ) )
% 148.73/148.69 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => ! [B_i,B_j] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 & 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) )
% 148.73/148.69 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmult2__lemma__aux3,axiom,
% 148.73/148.69 ! [V_q,V_b,V_r,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmult2__lemma__aux4,axiom,
% 148.73/148.69 ! [V_q,V_b,V_r,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmult2__lemma__aux1,axiom,
% 148.73/148.69 ! [V_q,V_r,V_b,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmult2__lemma__aux2,axiom,
% 148.73/148.69 ! [V_q,V_r,V_b,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.69 => 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))) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_divmod__int__rel__mod__eq,axiom,
% 148.73/148.69 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 148.73/148.69 ( 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)
% 148.73/148.69 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 148.73/148.69 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zmod__zmult2__eq,axiom,
% 148.73/148.69 ! [V_b,V_a,V_c] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 148.73/148.69 => 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)) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zminus2__eq__if,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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)) )
% 148.73/148.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_zdiv__zminus1__eq__if,axiom,
% 148.73/148.69 ! [V_a,V_b] :
% 148.73/148.69 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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)) )
% 148.73/148.69 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.69 => 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)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_z3mod__def,axiom,
% 148.73/148.69 ! [V_k,V_l] :
% 148.73/148.69 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 148.73/148.69 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 148.73/148.69 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 148.73/148.69 => 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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_setprod__pos__nat,axiom,
% 148.73/148.69 ! [V_f_2,V_S_2,T_a] :
% 148.73/148.69 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.69 => ( ! [B_x] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 148.73/148.69 => 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))) )
% 148.73/148.69 => 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_a,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_com_Osize_I13_J,axiom,
% 148.73/148.69 ! [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))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_com_Osize_I5_J,axiom,
% 148.73/148.69 ! [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))) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evaln_OIfFalse,axiom,
% 148.73/148.69 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 148.73/148.69 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_s1_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(hAPP(hAPP(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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evaln_OIfTrue,axiom,
% 148.73/148.69 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_n_2),V_s1_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(hAPP(hAPP(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)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evaln__elim__cases_I5_J,axiom,
% 148.73/148.69 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(hAPP(hAPP(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))
% 148.73/148.69 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_t_2)) )
% 148.73/148.69 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_n_2),V_t_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evalc__elim__cases_I5_J,axiom,
% 148.73/148.69 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2))
% 148.73/148.69 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 148.73/148.69 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evalc_OIfTrue,axiom,
% 148.73/148.69 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evalc_OIfFalse,axiom,
% 148.73/148.69 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 148.73/148.69 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 148.73/148.69 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 148.73/148.69 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_WTs__elim__cases_I5_J,axiom,
% 148.73/148.69 ! [V_c2_2,V_c1_2,V_b_2] :
% 148.73/148.69 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)))
% 148.73/148.69 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 148.73/148.69 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_div__add1__eq,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 148.73/148.69 ! [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) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__less,axiom,
% 148.73/148.69 ! [V_n,V_m] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.69 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__less__eq__dividend,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__distrib2,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_mod__mult__distrib,axiom,
% 148.73/148.69 ! [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)) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_com_Osimps_I4_J,axiom,
% 148.73/148.69 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 148.73/148.69 ( 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)
% 148.73/148.69 <=> ( V_fun_2 = V_fun_H_2
% 148.73/148.69 & V_com1_2 = V_com1_H_2
% 148.73/148.69 & V_com2_2 = V_com2_H_2 ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evaln_Oequations_I5_J,axiom,
% 148.73/148.69 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(hAPP(hAPP(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))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) )
% 148.73/148.69 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evaln_Oequations_I6_J,axiom,
% 148.73/148.69 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(hAPP(hAPP(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))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) )
% 148.73/148.69 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 148.73/148.69
% 148.73/148.69 fof(fact_evalc_Oequations_I6_J,axiom,
% 148.73/148.69 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 148.73/148.69 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2))
% 148.73/148.69 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.69 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 148.73/148.69 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.70 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_evalc_Oequations_I5_J,axiom,
% 148.73/148.70 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.70 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 148.73/148.70 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 148.73/148.70 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_WT_Oequations_I5_J,axiom,
% 148.73/148.70 ! [V_a2_2,V_a1_2,V_a3_2] :
% 148.73/148.70 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)))
% 148.73/148.70 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 148.73/148.70 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_WT_OIf,axiom,
% 148.73/148.70 ! [V_b_2,V_c1_2,V_c0_2] :
% 148.73/148.70 ( hBOOL(hAPP(c_Com_OWT,V_c0_2))
% 148.73/148.70 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 148.73/148.70 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I55_J,axiom,
% 148.73/148.70 ! [V_com2_2,V_com1_2,V_fun_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I54_J,axiom,
% 148.73/148.70 ! [V_pname_H_2,V_com2_2,V_com1_2,V_fun_2] : c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I53_J,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I52_J,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I44_J,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I45_J,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I57_J,axiom,
% 148.73/148.70 ! [V_com2_2,V_com1_2,V_fun_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I56_J,axiom,
% 148.73/148.70 ! [V_fun_H_2,V_pname_H_2,V_vname_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_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I14_J,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_com_Osimps_I15_J,axiom,
% 148.73/148.70 ! [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 ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__1,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__Suc,axiom,
% 148.73/148.70 ! [V_n,V_m] :
% 148.73/148.70 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 148.73/148.70 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.70 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__less__divisor,axiom,
% 148.73/148.70 ! [V_m,V_n] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__eq__0__iff,axiom,
% 148.73/148.70 ! [V_d_2,V_m_2] :
% 148.73/148.70 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.70 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__geq,axiom,
% 148.73/148.70 ! [V_n,V_m] :
% 148.73/148.70 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__if,axiom,
% 148.73/148.70 ! [V_n,V_m] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.70 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 148.73/148.70 => 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) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__mult__self3,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__mult2__eq,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div__mult1__eq,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__mod__geq,axiom,
% 148.73/148.70 ! [V_m,V_n] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Divides_Omod__div__equality_H,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__div__cancel,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div__mod__equality_H,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zmod__int,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__le__divisor,axiom,
% 148.73/148.70 ! [V_m,V_n] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__mult__self4,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__lemma,axiom,
% 148.73/148.70 ! [V_q,V_b,V_r,V_c] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_split__mod,axiom,
% 148.73/148.70 ! [V_k_2,V_n_2,V_P_2] :
% 148.73/148.70 ( hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 148.73/148.70 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.70 => hBOOL(hAPP(V_P_2,V_n_2)) )
% 148.73/148.70 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.70 => ! [B_i,B_j] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 148.73/148.70 => ( 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)
% 148.73/148.70 => hBOOL(hAPP(V_P_2,B_j)) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__times__mod__eq,axiom,
% 148.73/148.70 ! [V_m,V_k] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__mod__distrib,axiom,
% 148.73/148.70 ! [V_y,V_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 148.73/148.70 ! [V_y,V_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_fold__image__1,axiom,
% 148.73/148.70 ! [V_f_2,V_S_2,T_a,T_b] :
% 148.73/148.70 ( class_Groups_Ocomm__monoid__mult(T_b)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 148.73/148.70 => ( ! [B_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 148.73/148.70 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_b) )
% 148.73/148.70 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_f_2),c_Groups_Oone__class_Oone(T_b)),V_S_2) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_card_Oneutral,axiom,
% 148.73/148.70 ! [V_A_2,T_a] :
% 148.73/148.70 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.70 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.70 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 148.73/148.70 ( class_Orderings_Olinorder(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),V_b_2)) )
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omax(T_a)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b_2),V_ca_2))) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 148.73/148.70 ( class_Orderings_Olinorder(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Orderings_Oord__class_Omin(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__mod__eq__lemma,axiom,
% 148.73/148.70 ! [V_y,V_n,V_x] :
% 148.73/148.70 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 148.73/148.70 => ? [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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__induct__0,axiom,
% 148.73/148.70 ! [V_i_2,V_P_2,V_p_2] :
% 148.73/148.70 ( ! [B_i] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 148.73/148.70 => ( hBOOL(hAPP(V_P_2,B_i))
% 148.73/148.70 => hBOOL(hAPP(V_P_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 148.73/148.70 => ( hBOOL(hAPP(V_P_2,V_i_2))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 148.73/148.70 => hBOOL(hAPP(V_P_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_InterI,axiom,
% 148.73/148.70 ! [V_A_2,V_C_2,T_a] :
% 148.73/148.70 ( ! [B_X] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X)) )
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_C_2))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_fold__image__cong,axiom,
% 148.73/148.70 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_a,T_b] :
% 148.73/148.70 ( class_Groups_Oab__semigroup__mult(T_b)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.70 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 148.73/148.70 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_a,c_Groups_Otimes__class_Otimes(T_b)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Max__eqI,axiom,
% 148.73/148.70 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.70 ( class_Orderings_Olinorder(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_y] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_y),V_x_2)) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.70 => c_Big__Operators_Olinorder__class_OMax(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Min__eqI,axiom,
% 148.73/148.70 ! [V_x_2,V_A_2,T_a] :
% 148.73/148.70 ( class_Orderings_Olinorder(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_y] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_y)) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 148.73/148.70 => c_Big__Operators_Olinorder__class_OMin(T_a,V_A_2) = V_x_2 ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_inf__le__fold__inf,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_A_2,T_a] :
% 148.73/148.70 ( class_Lattices_Osemilattice__inf(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 148.73/148.70 => ( ! [B_x] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),B_x)) )
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_ca_2),V_A_2))) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_expand__Suc,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__eq,axiom,
% 148.73/148.70 ! [V_k,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__number__of,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Int_Oring__char__0(T_a) )
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 148.73/148.70 <=> V_x_2 = V_y_2 ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__reorient,axiom,
% 148.73/148.70 ! [V_x_2,V_w_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber(T_a)
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = V_x_2
% 148.73/148.70 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_of__int__number__of__eq,axiom,
% 148.73/148.70 ! [V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_of__nat__number__of__lemma,axiom,
% 148.73/148.70 ! [V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_of__nat__number__of__eq,axiom,
% 148.73/148.70 ! [V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__number__of__eq__not__less,axiom,
% 148.73/148.70 ! [V_w_2,V_v_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber(T_a)
% 148.73/148.70 & class_Orderings_Olinorder(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_right__distrib__number__of,axiom,
% 148.73/148.70 ! [V_c,V_b,V_v,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Rings_Osemiring(T_b) )
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_left__distrib__number__of,axiom,
% 148.73/148.70 ! [V_v,V_b,V_a,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Rings_Osemiring(T_b) )
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_left__diff__distrib__number__of,axiom,
% 148.73/148.70 ! [V_v,V_b,V_a,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Rings_Oring(T_b) )
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_right__diff__distrib__number__of,axiom,
% 148.73/148.70 ! [V_c,V_b,V_v,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Rings_Oring(T_b) )
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__number__of,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__number__of,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_min__number__of,axiom,
% 148.73/148.70 ! [V_v,V_u,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Orderings_Oord(T_b) )
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_max__number__of,axiom,
% 148.73/148.70 ! [V_v,V_u,T_b] :
% 148.73/148.70 ( ( class_Int_Onumber(T_b)
% 148.73/148.70 & class_Orderings_Oord(T_b) )
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__add,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__number__of__eq,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__number__of__left,axiom,
% 148.73/148.70 ! [V_z,V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__mult,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_arith__simps_I32_J,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__number__of__left,axiom,
% 148.73/148.70 ! [V_z,V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__diff,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_arith__simps_I30_J,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__minus,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Ints__number__of,axiom,
% 148.73/148.70 ! [V_w_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Int_Oring__1__class_OInts(T_a))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__divide__eq__number__of1,axiom,
% 148.73/148.70 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))
% 148.73/148.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_b_2 )
% 148.73/148.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__divide__eq__number__of,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)
% 148.73/148.70 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) = V_b_2 )
% 148.73/148.70 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__eq__eq__number__of,axiom,
% 148.73/148.70 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)
% 148.73/148.70 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2) )
% 148.73/148.70 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__eq__eq__number__of1,axiom,
% 148.73/148.70 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) = V_a_2
% 148.73/148.70 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) )
% 148.73/148.70 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 => V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__number__of__diff1,axiom,
% 148.73/148.70 ! [V_c,V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__number__of__mult,axiom,
% 148.73/148.70 ! [V_z,V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__number__of__eq,axiom,
% 148.73/148.70 ! [V_w,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__less__eq__number__of1,axiom,
% 148.73/148.70 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__less__eq__number__of,axiom,
% 148.73/148.70 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__divide__eq__number__of,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__divide__eq__number__of1,axiom,
% 148.73/148.70 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_abs__number__of,axiom,
% 148.73/148.70 ! [V_x,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => 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)) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__number__of__diff2,axiom,
% 148.73/148.70 ! [V_w,V_c,V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__le__eq__number__of1,axiom,
% 148.73/148.70 ! [V_a_2,V_w_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_a_2))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a_2)) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__le__eq__number__of,axiom,
% 148.73/148.70 ! [V_w_2,V_ca_2,V_b_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__divide__eq__number__of,axiom,
% 148.73/148.70 ! [V_ca_2,V_b_2,V_w_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),V_ca_2)))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2)),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_ca_2))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),V_ca_2))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_ca_2),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__divide__eq__number__of1,axiom,
% 148.73/148.70 ! [V_w_2,V_b_2,V_a_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2))),V_b_2)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a_2),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_one__mod__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_one__div__nat__number__of,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__number__of__odd__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_w_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)))),c_COMBI(T_a))) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__nat__number__of,axiom,
% 148.73/148.70 ! [V_n,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__number__of__int__code,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__is__id,axiom,
% 148.73/148.70 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__eq__number__of__int__code,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__numeral__code_I5_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_times__numeral__code_I5_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_plus__numeral__code_I9_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__number__of__Bit1,axiom,
% 148.73/148.70 ! [V_w_2] :
% 148.73/148.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 148.73/148.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I51_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 148.73/148.70 <=> V_k_2 = V_l_2 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I17_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__int__code_I16_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I34_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__eq__int__code_I16_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_int__number__of__def,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_bin__less__0__simps_I4_J,axiom,
% 148.73/148.70 ! [V_w_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Bit1__def,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__def,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__Bit1,axiom,
% 148.73/148.70 ! [V_w_2] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 148.73/148.70 => 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)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__Bit1,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__number__of__odd,axiom,
% 148.73/148.70 ! [V_z_2,V_w_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( ( 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)))
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z_2))),c_COMBI(T_a))) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zpower__number__of__odd,axiom,
% 148.73/148.70 ! [V_z_2,V_w_2] :
% 148.73/148.70 ( ( 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)))
% 148.73/148.70 => 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))) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__numeral__code_I6_J,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__imp__number__of__eq__0,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_int__eq__iff__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_m_2] :
% 148.73/148.70 ( 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)
% 148.73/148.70 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 148.73/148.70 & 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H_2,V_v_2] :
% 148.73/148.70 ( 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)
% 148.73/148.70 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 148.73/148.70 => 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))) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 148.73/148.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 148.73/148.70 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__add__left,axiom,
% 148.73/148.70 ! [V_k,V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_int__nat__number__of,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 148.73/148.70 => 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))) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__nat__number__of__number__of,axiom,
% 148.73/148.70 ! [V_w,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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)) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__nat__number__of__add,axiom,
% 148.73/148.70 ! [V_n,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_v_H_2] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_min__number__of__Suc,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_min__Suc__number__of,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_succ__Pls,axiom,
% 148.73/148.70 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I39_J,axiom,
% 148.73/148.70 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I46_J,axiom,
% 148.73/148.70 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I1_J,axiom,
% 148.73/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__Pls,axiom,
% 148.73/148.70 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 148.73/148.70
% 148.73/148.70 fof(fact_succ__pred,axiom,
% 148.73/148.70 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Pls,axiom,
% 148.73/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Pls__right,axiom,
% 148.73/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I2_J,axiom,
% 148.73/148.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I19_J,axiom,
% 148.73/148.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Pls__def,axiom,
% 148.73/148.70 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__Pls,axiom,
% 148.73/148.70 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__Pls,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_semiring__norm_I112_J,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__numeral__0__right,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__numeral__0,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_bin__less__0__simps_I1_J,axiom,
% 148.73/148.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_semiring__norm_I113_J,axiom,
% 148.73/148.70 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__Pls,axiom,
% 148.73/148.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__is__num__zero,axiom,
% 148.73/148.70 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I22_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I12_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__diff__number__of,axiom,
% 148.73/148.70 ! [V_m,V_v] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_not__neg__number__of__Pls,axiom,
% 148.73/148.70 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__add__1,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__1__add__number__of,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__iff__pred__less,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__Bit1,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_pred__def,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__diff__1,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__numeral__1,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__numeral__1__right,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__Numeral0,axiom,
% 148.73/148.70 ! [V_x,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber__ring(T_a) )
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_semiring__norm_I110_J,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_numeral__1__eq__1,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__number__of__0,axiom,
% 148.73/148.70 ! [V_v_2] :
% 148.73/148.70 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__0__number__of,axiom,
% 148.73/148.70 ! [V_v_2] :
% 148.73/148.70 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of2,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I5_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I29_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H_2,V_v_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 148.73/148.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__Numeral1,axiom,
% 148.73/148.70 ! [V_x,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield(T_a)
% 148.73/148.70 & class_Int_Onumber__ring(T_a) )
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_divide__numeral__1,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( ( class_Fields_Ofield(T_a)
% 148.73/148.70 & class_Int_Onumber__ring(T_a) )
% 148.73/148.70 => 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 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H_2,V_v_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_one__is__num__one,axiom,
% 148.73/148.70 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__numeral__1__eq__1,axiom,
% 148.73/148.70 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Numeral1__eq1__nat,axiom,
% 148.73/148.70 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 148.73/148.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_succ__def,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__special_I3_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__special_I1_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__special_I3_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__special_I1_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__0__number__of,axiom,
% 148.73/148.70 ! [V_v_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_numeral__1__eq__Suc__0,axiom,
% 148.73/148.70 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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_numeral__3__eq__3,axiom,
% 148.73/148.70 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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power3__eq__cube,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 148.73/148.70 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))))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc3__eq__add__3,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 148.73/148.70 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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 148.73/148.70 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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__succ,axiom,
% 148.73/148.70 ! [V_k,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__pred,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__special_I4_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__special_I2_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__special_I2_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__special_I4_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Rings_Olinordered__idom(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2)),c_Groups_Oone__class_Oone(T_a)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__special_I2_J,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__special_I3_J,axiom,
% 148.73/148.70 ! [V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 148.73/148.70 ! [V_m,V_n] :
% 148.73/148.70 ( 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))
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__mult__left,axiom,
% 148.73/148.70 ! [V_k,V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__nat__number__of,axiom,
% 148.73/148.70 ! [V_v_H,V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__number__of__pred__iff__0,axiom,
% 148.73/148.70 ! [V_v_2] :
% 148.73/148.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 148.73/148.70 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div__Suc__eq__div__add3,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__div__eq__add3__div,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__special_I2_J,axiom,
% 148.73/148.70 ! [V_v,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__special_I1_J,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__number__of__Suc,axiom,
% 148.73/148.70 ! [V_n_2,V_v_2] :
% 148.73/148.70 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 148.73/148.70 <=> 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))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__eq__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_n_2] :
% 148.73/148.70 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 148.73/148.70 <=> 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))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__case__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__Suc__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_n_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> 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))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__number__of__Suc,axiom,
% 148.73/148.70 ! [V_n_2,V_v_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__Suc__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_n_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> 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))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_le__number__of__Suc,axiom,
% 148.73/148.70 ! [V_n_2,V_v_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__nat__number__of,axiom,
% 148.73/148.70 ! [V_v] :
% 148.73/148.70 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 148.73/148.70 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_max__Suc__number__of,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_max__number__of__Suc,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__case__add__eq__if,axiom,
% 148.73/148.70 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : c_Nat_Onat_Onat__case(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),c_Nat_Onat_Onat__case(T_a,V_a_2,V_f_2,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__rec__add__eq__if,axiom,
% 148.73/148.70 ! [V_n_2,V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2),V_n_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),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_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,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))))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__special_I2_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 148.73/148.70 <=> c_Int_Oiszero(T_a,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_y_2)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__special_I4_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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))))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__rec__number__of,axiom,
% 148.73/148.70 ! [V_v_2,V_f_2,V_a_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_a,T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,T_a),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_a,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_iszero__def,axiom,
% 148.73/148.70 ! [V_z_2,T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => ( c_Int_Oiszero(T_a,V_z_2)
% 148.73/148.70 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_iszero__0,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_not__iszero__1,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__rec__0,axiom,
% 148.73/148.70 ! [V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__rec__Suc,axiom,
% 148.73/148.70 ! [V_nat_2,V_f2_2,V_f1_2,T_a] : hAPP(c_Nat_Onat_Onat__rec(T_a,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_a,V_f1_2,V_f2_2),V_nat_2)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_iszero__Numeral0,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_iszero__number__of__Bit1,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Int_Oring__char__0(T_a) )
% 148.73/148.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_not__iszero__Numeral1,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__number__of__eq,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 148.73/148.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__special_I1_J,axiom,
% 148.73/148.70 ! [V_y_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_y_2)
% 148.73/148.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_eq__special_I3_J,axiom,
% 148.73/148.70 ! [V_x_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x_2) = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),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)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__zmod__mult__2,axiom,
% 148.73/148.70 ! [V_b,V_a] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zmod__number__of__Bit1,axiom,
% 148.73/148.70 ! [V_v,V_w] :
% 148.73/148.70 ( ( 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)))
% 148.73/148.70 => 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)) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_arith__series__int,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I49_J,axiom,
% 148.73/148.70 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I50_J,axiom,
% 148.73/148.70 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I7_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__eq__int__code_I13_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I31_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__int__code_I13_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I14_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Bit0__def,axiom,
% 148.73/148.70 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Bit0__Bit0,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I48_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 148.73/148.70 <=> V_k_2 = V_l_2 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__Bit0,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_minus__Bit0,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Bit0__Pls,axiom,
% 148.73/148.70 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I38_J,axiom,
% 148.73/148.70 ! [V_l_2] :
% 148.73/148.70 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 148.73/148.70 <=> c_Int_OPls = V_l_2 ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I44_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 148.73/148.70 <=> V_k_2 = c_Int_OPls ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_bin__less__0__simps_I3_J,axiom,
% 148.73/148.70 ! [V_w_2] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I21_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I27_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I32_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__eq__int__code_I14_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I4_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I10_J,axiom,
% 148.73/148.70 ! [V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I16_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__int__code_I15_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Bit0__Bit1,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Bit1__Bit0,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I3_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I9_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I10_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zdiv__number__of__Bit0,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__number__of__Bit0,axiom,
% 148.73/148.70 ! [V_w_2] :
% 148.73/148.70 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 148.73/148.70 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_pred__Bit1,axiom,
% 148.73/148.70 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_pred__Bit0,axiom,
% 148.73/148.70 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_iszero__number__of__Bit0,axiom,
% 148.73/148.70 ! [V_w_2,T_a] :
% 148.73/148.70 ( ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 & class_Int_Oring__char__0(T_a) )
% 148.73/148.70 => ( c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w_2)))
% 148.73/148.70 <=> c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_succ__Bit0,axiom,
% 148.73/148.70 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_succ__Bit1,axiom,
% 148.73/148.70 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__number__of__Bit0,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of__Bit0,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I15_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__int__code_I14_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_rel__simps_I33_J,axiom,
% 148.73/148.70 ! [V_l_2,V_k_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__eq__int__code_I15_J,axiom,
% 148.73/148.70 ! [V_k2_2,V_k1_2] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_card__UNIV__bool,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__Bit1,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_diff__bin__simps_I8_J,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__Bit1__Bit1,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__number__of__even,axiom,
% 148.73/148.70 ! [V_w_2,V_z_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zpower__number__of__even,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_double__number__of__Bit0,axiom,
% 148.73/148.70 ! [V_w,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_number__of1,axiom,
% 148.73/148.70 ! [V_n] :
% 148.73/148.70 ( 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)))
% 148.73/148.70 => ( 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))))
% 148.73/148.70 & 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)))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 148.73/148.70 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__number__of__even__number__of,axiom,
% 148.73/148.70 ! [V_w_2,V_v_2,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),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_a,T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Otimes__class_Otimes(T_a)),c_COMBI(T_a))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__2,axiom,
% 148.73/148.70 ! [V_z,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mult__2__right,axiom,
% 148.73/148.70 ! [V_z,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_one__add__one__is__two,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__eq__power2,axiom,
% 148.73/148.70 ! [V_a_2,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 148.73/148.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 148.73/148.70 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__power2,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_semiring__norm_I115_J,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_numeral__2__eq__2,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 148.73/148.70 ! [V_x,T_a] :
% 148.73/148.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__eq__square,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 148.73/148.70 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))))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__2__eq__Suc_H,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__2__eq__Suc,axiom,
% 148.73/148.70 ! [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)) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_one__power2,axiom,
% 148.73/148.70 ! [T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__minus,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__mult__2,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__mult__2__right,axiom,
% 148.73/148.70 ! [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) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__even__eq,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 148.73/148.70 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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 148.73/148.70 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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_abs__power2,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__abs,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__1__add__1,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod2__Suc__Suc,axiom,
% 148.73/148.70 ! [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)))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div2__Suc__Suc,axiom,
% 148.73/148.70 ! [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))))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zmod__number__of__Bit0,axiom,
% 148.73/148.70 ! [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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_add__self__div__2,axiom,
% 148.73/148.70 ! [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 ).
% 148.73/148.70
% 148.73/148.70 fof(fact_half__gt__zero__iff,axiom,
% 148.73/148.70 ! [V_r_2,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber__ring(T_a) )
% 148.73/148.70 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 148.73/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r_2)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_half__gt__zero,axiom,
% 148.73/148.70 ! [V_r,T_a] :
% 148.73/148.70 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 148.73/148.70 & class_Int_Onumber__ring(T_a) )
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 148.73/148.70 => 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)))))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__le__power2,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => 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)))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__le__imp__le,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.70 => ( 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))))))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__eq__imp__eq,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.70 => ( 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))))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.70 => V_x = V_y ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__less__power2,axiom,
% 148.73/148.70 ! [V_a_2,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( 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_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 148.73/148.70 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__less__0,axiom,
% 148.73/148.70 ! [V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ~ 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_sum__power2__eq__zero__iff,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)
% 148.73/148.70 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__eq__square__number__of,axiom,
% 148.73/148.70 ! [V_w,T_b] :
% 148.73/148.70 ( ( class_Groups_Omonoid__mult(T_b)
% 148.73/148.70 & class_Int_Onumber(T_b) )
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_less__2__cases,axiom,
% 148.73/148.70 ! [V_n] :
% 148.73/148.70 ( 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)))))
% 148.73/148.70 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 148.73/148.70 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_nat__2,axiom,
% 148.73/148.70 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))) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__eq__1__iff,axiom,
% 148.73/148.70 ! [V_a_2,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 148.73/148.70 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a)
% 148.73/148.70 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_a)
% 148.73/148.70 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 148.73/148.70 ! [V_n,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__minus__even,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__less__imp__less,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__semidom(T_a)
% 148.73/148.70 => ( 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))))))
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_sum__power2__ge__zero,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => 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))))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_sum__power2__le__zero__iff,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),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_a)))
% 148.73/148.70 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 & V_y_2 = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_not__sum__power2__lt__zero,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ~ 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_sum__power2__gt__zero__iff,axiom,
% 148.73/148.70 ! [V_y_2,V_x_2,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( 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),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),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_a),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 148.73/148.70 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_a)
% 148.73/148.70 | V_y_2 != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__sum,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zero__le__even__power_H,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => 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)))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 148.73/148.70 ! [V_n,V_x,T_a] :
% 148.73/148.70 ( class_Rings_Ocomm__semiring__1(T_a)
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__odd__eq,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Groups_Omonoid__mult(T_a)
% 148.73/148.70 => 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))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__minus1__even,axiom,
% 148.73/148.70 ! [V_n,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1(T_a)
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_zdiv__number__of__Bit1,axiom,
% 148.73/148.70 ! [V_v,V_w] :
% 148.73/148.70 ( ( 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)))
% 148.73/148.70 => 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)) )
% 148.73/148.70 & ( ~ 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)))
% 148.73/148.70 => 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)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_mod2__gr__0,axiom,
% 148.73/148.70 ! [V_m_2] :
% 148.73/148.70 ( 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))))))
% 148.73/148.70 <=> 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_div__2__gt__zero,axiom,
% 148.73/148.70 ! [V_n] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 148.73/148.70 => 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)))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power2__diff,axiom,
% 148.73/148.70 ! [V_y,V_x,T_a] :
% 148.73/148.70 ( class_Int_Onumber__ring(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( 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)))))
% 148.73/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_odd__power__less__zero,axiom,
% 148.73/148.70 ! [V_n,V_a,T_a] :
% 148.73/148.70 ( class_Rings_Olinordered__idom(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_power__minus1__odd,axiom,
% 148.73/148.70 ! [V_n,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1(T_a)
% 148.73/148.70 => 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)) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 148.73/148.70 ! [V_n] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 148.73/148.70 => 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)))))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_of__nat__double,axiom,
% 148.73/148.70 ! [V_x,T_a] :
% 148.73/148.70 ( class_Rings_Osemiring__1(T_a)
% 148.73/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 148.73/148.70 => 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))) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_pos__zmod__mult__2,axiom,
% 148.73/148.70 ! [V_b,V_a] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.70 => 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))) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_neg__zdiv__mult__2,axiom,
% 148.73/148.70 ! [V_b,V_a] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_pos__zdiv__mult__2,axiom,
% 148.73/148.70 ! [V_b,V_a] :
% 148.73/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 148.73/148.70 => 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) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_int__of__code,axiom,
% 148.73/148.70 ! [V_k] :
% 148.73/148.70 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 148.73/148.70 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 148.73/148.70 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 148.73/148.70 => ( ( 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)
% 148.73/148.70 => 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)))))) )
% 148.73/148.70 & ( 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)
% 148.73/148.70 => 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)) ) ) ) ) ).
% 148.73/148.70
% 148.73/148.70 fof(fact_of__int__num,axiom,
% 148.73/148.70 ! [V_k_2,T_a] :
% 148.73/148.70 ( class_Rings_Oring__1(T_a)
% 148.73/148.70 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 148.73/148.70 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = c_Groups_Ozero__class_Ozero(T_a) )
% 148.73/148.70 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,T_a),T_a),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_a,T_a)),tc_fun(tc_Int_Oint,T_a)),tc_Int_Oint),c_COMBB(tc_fun(T_a,T_a),T_a,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_fun(T_a,T_a),T_a),tc_Int_Oint),c_HOL_OLet(T_a,T_a)),c_Int_Oring__1__class_Oof__int(T_a)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,T_a)),tc_Int_Oint),c_COMBS(T_a,T_a,T_a)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_a,T_a)),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_fun(T_a,T_a))),tc_Int_Oint),c_COMBB(T_a,tc_fun(T_a,T_a),T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),tc_Int_Oint),c_If(T_a)),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_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a))))),hAPP(hAPP(c_COMBC(T_a,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_a),c_Groups_Oplus__class_Oplus(T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,T_a),c_Groups_Oplus__class_Oplus(T_a)),c_COMBI(T_a)))),c_Groups_Oone__class_Oone(T_a))))),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))))) ) ) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_power__m1__odd,axiom,
% 149.08/148.70 ! [V_n,T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I45_J,axiom,
% 149.08/148.70 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I42_J,axiom,
% 149.08/148.70 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I37_J,axiom,
% 149.08/148.70 c_Int_OPls != c_Int_OMin ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I40_J,axiom,
% 149.08/148.70 c_Int_OMin != c_Int_OPls ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I24_J,axiom,
% 149.08/148.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I7_J,axiom,
% 149.08/148.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_code__numeral__zero__minus__one,axiom,
% 149.08/148.70 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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I47_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 149.08/148.70 <=> V_k_2 = c_Int_OMin ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I43_J,axiom,
% 149.08/148.70 ! [V_l_2] :
% 149.08/148.70 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 149.08/148.70 <=> c_Int_OMin = V_l_2 ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Bit1__Min,axiom,
% 149.08/148.70 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 149.08/148.70
% 149.08/148.70 fof(fact_bin__less__0__simps_I2_J,axiom,
% 149.08/148.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I20_J,axiom,
% 149.08/148.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I23_J,axiom,
% 149.08/148.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I30_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I26_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I3_J,axiom,
% 149.08/148.70 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I6_J,axiom,
% 149.08/148.70 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I13_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I9_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I28_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I8_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_eq__number__of__Pls__Min,axiom,
% 149.08/148.70 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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Int_OMin__def,axiom,
% 149.08/148.70 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_mult__Min,axiom,
% 149.08/148.70 ! [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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_neg__number__of__Min,axiom,
% 149.08/148.70 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pred__Pls,axiom,
% 149.08/148.70 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 149.08/148.70
% 149.08/148.70 fof(fact_add__Min__right,axiom,
% 149.08/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_add__Min,axiom,
% 149.08/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pred__Min,axiom,
% 149.08/148.70 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_nonzero__number__of__Min,axiom,
% 149.08/148.70 ! [T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_succ__Min,axiom,
% 149.08/148.70 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 149.08/148.70
% 149.08/148.70 fof(fact_diff__bin__simps_I2_J,axiom,
% 149.08/148.70 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_mult__minus1,axiom,
% 149.08/148.70 ! [V_z,T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_mult__minus1__right,axiom,
% 149.08/148.70 ! [V_z,T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_arith__simps_I31_J,axiom,
% 149.08/148.70 ! [T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_number__of__Min,axiom,
% 149.08/148.70 ! [T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_abs__minus__one,axiom,
% 149.08/148.70 ! [T_a] :
% 149.08/148.70 ( ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 & class_Rings_Olinordered__idom(T_a) )
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divide__minus1,axiom,
% 149.08/148.70 ! [V_x,T_a] :
% 149.08/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 149.08/148.70 & class_Int_Onumber__ring(T_a) )
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I11_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rel__simps_I25_J,axiom,
% 149.08/148.70 ! [V_k_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zmod__minus1__right,axiom,
% 149.08/148.70 ! [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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_diff__bin__simps_I4_J,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_minus__Min,axiom,
% 149.08/148.70 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zmult__eq__1__iff,axiom,
% 149.08/148.70 ! [V_n_2,V_m_2] :
% 149.08/148.70 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 149.08/148.70 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 149.08/148.70 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 149.08/148.70 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 149.08/148.70 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 149.08/148.70 ! [V_n,V_m] :
% 149.08/148.70 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 149.08/148.70 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 149.08/148.70 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_diff__bin__simps_I5_J,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_diff__bin__simps_I6_J,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_of__int__m1,axiom,
% 149.08/148.70 ! [T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zdiv__minus1__right,axiom,
% 149.08/148.70 ! [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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zero__code__numeral__code,axiom,
% 149.08/148.70 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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_minus1__divide,axiom,
% 149.08/148.70 ! [V_x,T_a] :
% 149.08/148.70 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 149.08/148.70 & class_Int_Onumber__ring(T_a) )
% 149.08/148.70 => 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)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_abs__power__minus__one,axiom,
% 149.08/148.70 ! [V_n,T_a] :
% 149.08/148.70 ( ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 & class_Rings_Olinordered__idom(T_a) )
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_div__eq__minus1,axiom,
% 149.08/148.70 ! [V_b] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_div__pos__neg__trivial,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.70 => ( 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)))
% 149.08/148.70 => 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) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zmod__minus1,axiom,
% 149.08/148.70 ! [V_b] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => 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)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_one__code__numeral__code,axiom,
% 149.08/148.70 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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_power__m1__even,axiom,
% 149.08/148.70 ! [V_n,T_a] :
% 149.08/148.70 ( class_Int_Onumber__ring(T_a)
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_small__int__def,axiom,
% 149.08/148.70 ! [V_d_2,V_f_2] : hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_Int_Oint),V_f_2),V_d_2) = c_Smallcheck_Osmall_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_int__ge__less__than2__def,axiom,
% 149.08/148.70 ! [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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_int__ge__less__than__def,axiom,
% 149.08/148.70 ! [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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_nat__of__aux__code,axiom,
% 149.08/148.70 ! [V_n,V_i] :
% 149.08/148.70 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.70 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 149.08/148.70 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__def,axiom,
% 149.08/148.70 ! [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))))))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_Oprod__def,axiom,
% 149.08/148.70 ! [V_B_2,V_A_2,T_b,T_a] : c_Nitpick_Oprod(T_a,T_b,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__correct,axiom,
% 149.08/148.70 ! [V_a,V_b] :
% 149.08/148.70 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_OFrac__def,axiom,
% 149.08/148.70 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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 149.08/148.70 ! [V_y_2,V_z_2,V_f_2,T_b,V_A_2,V_x_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.70 => ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_y_2)
% 149.08/148.70 => c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_finite__psubset__def,axiom,
% 149.08/148.70 ! [T_a] : c_Wellfounded_Ofinite__psubset(T_a) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),c_COMBS(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_a)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 149.08/148.70 ! [V_a2_2,V_a1_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_a2_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 149.08/148.70 ! [V_z_2,V_f_2,T_b,T_a] : c_Nitpick_Ofold__graph_H(T_a,T_b,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_z_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 149.08/148.70 ! [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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_full__small__int__def,axiom,
% 149.08/148.70 ! [V_d_2,V_f_2] : c_Smallcheck_Ofull__small__class_Ofull__small(tc_Int_Oint,V_f_2,V_d_2) = c_Smallcheck_Ofull__small_H(V_f_2,hAPP(c_Code__Numeral_Oint__of,V_d_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Code__Numeral_Oint__of,V_d_2))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zmult2__lemma,axiom,
% 149.08/148.70 ! [V_c,V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_sup__Un__eq2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_inf__Int__eq2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)),V_x_2),V_y_2))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_bot__empty__eq2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pred__equals__eq2,axiom,
% 149.08/148.70 ! [V_S_2,V_R_2,T_b,T_a] :
% 149.08/148.70 ( hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2) = hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)
% 149.08/148.70 <=> V_R_2 = V_S_2 ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pred__subset__eq2,axiom,
% 149.08/148.70 ! [V_S_2,V_R_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_R_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_S_2)))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_small__prod__def,axiom,
% 149.08/148.70 ! [V_d_2,V_f_2,T_a,T_b] :
% 149.08/148.70 ( ( class_Smallcheck_Osmall(T_b)
% 149.08/148.70 & class_Smallcheck_Osmall(T_a) )
% 149.08/148.70 => hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(tc_prod(T_a,T_b)),V_f_2),V_d_2) = hAPP(hAPP(c_Smallcheck_Osmall__class_Osmall(T_a),hAPP(hAPP(c_COMBC(T_a,tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),c_Smallcheck_Osmall__class_Osmall(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b)))),V_d_2)),V_d_2) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__0,axiom,
% 149.08/148.70 ! [V_b] :
% 149.08/148.70 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_self__remainder,axiom,
% 149.08/148.70 ! [V_r,V_q,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_unique__quotient,axiom,
% 149.08/148.70 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( 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)))
% 149.08/148.70 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => V_q = V_q_H ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_unique__remainder,axiom,
% 149.08/148.70 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( 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)))
% 149.08/148.70 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => V_r = V_r_H ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_SUP__UN__eq2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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))
% 149.08/148.70 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_INF__INT__eq2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_r_2,T_c,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_a),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))
% 149.08/148.70 <=> 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_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_self__quotient,axiom,
% 149.08/148.70 ! [V_r,V_q,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__mod,axiom,
% 149.08/148.70 ! [V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__div,axiom,
% 149.08/148.70 ! [V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__mod__div,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__div__mod,axiom,
% 149.08/148.70 ! [V_a,V_b] :
% 149.08/148.70 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_nat__gcd_Osimps,axiom,
% 149.08/148.70 ! [V_x,V_y] :
% 149.08/148.70 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.70 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 149.08/148.70 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zadd1__lemma,axiom,
% 149.08/148.70 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( 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)))
% 149.08/148.70 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zminus1__lemma,axiom,
% 149.08/148.70 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => 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))))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__relI,axiom,
% 149.08/148.70 ! [V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)
% 149.08/148.70 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 149.08/148.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 149.08/148.70 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 149.08/148.70 => 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))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_zmult1__lemma,axiom,
% 149.08/148.70 ! [V_a,V_r,V_q,V_c,V_b] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pair__imageI,axiom,
% 149.08/148.70 ! [V_f_2,T_c,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_A_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),V_A_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_norm__frac_Osimps,axiom,
% 149.08/148.70 ! [V_a_2,V_b_2] :
% 149.08/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 149.08/148.70 => 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))) ) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_adjust__def,axiom,
% 149.08/148.70 ! [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))))))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_sup2CI,axiom,
% 149.08/148.70 ! [T_b,T_a,V_A_2,V_y_2,V_x_2,V_B_2] :
% 149.08/148.70 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 149.08/148.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_sup2E,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 149.08/148.70 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_inf2E,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 149.08/148.70 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 149.08/148.70 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_inf2I,axiom,
% 149.08/148.70 ! [T_b,T_a,V_B_2,V_y_2,V_x_2,V_A_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_mem__splitI,axiom,
% 149.08/148.70 ! [T_c,T_b,V_b_2,V_a_2,V_ca_2,V_z_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,V_a_2),V_b_2)))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_splitI,axiom,
% 149.08/148.70 ! [T_b,T_a,V_b_2,V_a_2,V_f_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_prod__caseI,axiom,
% 149.08/148.70 ! [T_b,T_a,V_b_2,V_a_2,V_f1_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_bot2E,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,T_b,T_a] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_splitD_H,axiom,
% 149.08/148.70 ! [V_ca_2,V_b_2,V_a_2,V_R_2,T_c,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_ca_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_ca_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_less__by__empty,axiom,
% 149.08/148.70 ! [V_B_2,T_a,V_A_2] :
% 149.08/148.70 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_rev__predicate2D,axiom,
% 149.08/148.70 ! [V_Q_2,T_b,T_a,V_y_2,V_x_2,V_P_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_predicate2D,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_Q_2,V_P_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_P_2),V_Q_2))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_Q_2,V_x_2),V_y_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_inf2D2,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_inf2D1,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_sup2I2,axiom,
% 149.08/148.70 ! [V_A_2,T_b,T_a,V_y_2,V_x_2,V_B_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_sup2I1,axiom,
% 149.08/148.70 ! [V_B_2,T_b,T_a,V_y_2,V_x_2,V_A_2] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__paired__All,axiom,
% 149.08/148.70 ! [T_b,T_a,V_P_2] :
% 149.08/148.70 ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 149.08/148.70 <=> ! [B_a,B_b] : hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Pair__eq,axiom,
% 149.08/148.70 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.70 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2)
% 149.08/148.70 <=> ( V_a_2 = V_a_H_2
% 149.08/148.70 & V_b_2 = V_b_H_2 ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Pair__inject,axiom,
% 149.08/148.70 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 149.08/148.70 ( 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)
% 149.08/148.70 => ~ ( V_a = V_a_H
% 149.08/148.70 => V_b != V_b_H ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__weak__cong,axiom,
% 149.08/148.70 ! [V_ca_2,T_c,T_b,T_a,V_q_2,V_p_2] :
% 149.08/148.70 ( V_p_2 = V_q_2
% 149.08/148.70 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_ca_2),V_q_2) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_in__finite__psubset,axiom,
% 149.08/148.70 ! [V_B_2,V_A_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_a)))
% 149.08/148.70 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.70 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__twice,axiom,
% 149.08/148.70 ! [V_p_2,V_g_2,T_e,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_b,T_c)),tc_fun(T_e,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_e),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2))),V_g_2)),V_p_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__conv,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_prod_Osimps_I2_J,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_splitD,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2,V_f_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)))
% 149.08/148.70 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__eta,axiom,
% 149.08/148.70 ! [V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,T_c),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),T_c,T_b),V_f_2)),c_Product__Type_OPair(T_a,T_b))) = V_f_2 ).
% 149.08/148.70
% 149.08/148.70 fof(fact_split__paired__The,axiom,
% 149.08/148.70 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),V_P_2) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_The__split__eq,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_adjust__eq,axiom,
% 149.08/148.70 ! [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))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_in__rel__def,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_R_2,T_b,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_a,T_b,V_R_2),V_x_2),V_y_2))
% 149.08/148.70 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_R_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_div__mod__code__numeral__def,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 149.08/148.70 ! [V_w] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( 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))))
% 149.08/148.70 => 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))) )
% 149.08/148.70 & ( ~ 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))))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__correct,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__div__mod,axiom,
% 149.08/148.70 ! [V_l,V_k] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__minus1,axiom,
% 149.08/148.70 ! [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))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg_Osimps,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( ( ( 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)))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ ( 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)))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__eqn,axiom,
% 149.08/148.70 ! [V_a,V_b] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => ( ( 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)))
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ 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)))
% 149.08/148.70 => 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))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg__eqn__number__of,axiom,
% 149.08/148.70 ! [V_w,V_v] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( 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))))
% 149.08/148.70 => 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))) )
% 149.08/148.70 & ( ~ 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))))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_Orefl_H__def,axiom,
% 149.08/148.70 ! [V_r_2,T_a] :
% 149.08/148.70 ( c_Nitpick_Orefl_H(T_a,V_r_2)
% 149.08/148.70 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 149.08/148.70 ! [V_w] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( 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)))
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ 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)))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__0,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__correct,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__div__mod,axiom,
% 149.08/148.70 ! [V_l,V_k] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__eqn__number__of,axiom,
% 149.08/148.70 ! [V_w,V_v] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( 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)))
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ 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)))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg__eqn,axiom,
% 149.08/148.70 ! [V_a,V_b] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 149.08/148.70 => 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))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg_Osimps,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 149.08/148.70 ! [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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__def,axiom,
% 149.08/148.70 ! [V_b,V_a] :
% 149.08/148.70 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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))) ) ) ) ) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.70 => 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))) ) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__step,axiom,
% 149.08/148.70 ! [V_m,V_n] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__zero,axiom,
% 149.08/148.70 ! [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) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__base,axiom,
% 149.08/148.70 ! [V_n,V_m] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 149.08/148.70 => 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) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negateSnd__eq,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__div__mod,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__rel__neg,axiom,
% 149.08/148.70 ! [V_qr,V_b,V_a] :
% 149.08/148.70 ( 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))
% 149.08/148.70 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__if,axiom,
% 149.08/148.70 ! [V_m_2,V_n_2] :
% 149.08/148.70 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__pdivmod,axiom,
% 149.08/148.70 ! [V_l_2,V_k_2] :
% 149.08/148.70 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 149.08/148.70 ! [V_a,V_r,V_q,V_c,V_b] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 149.08/148.70 => 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)))) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 149.08/148.70 ! [V_c,V_r,V_q,V_b,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_apsnd__conv,axiom,
% 149.08/148.70 ! [V_y_2,V_x_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel__unique,axiom,
% 149.08/148.70 ! [V_qr_H,V_qr,V_n,V_m] :
% 149.08/148.70 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 149.08/148.70 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 149.08/148.70 => V_qr = V_qr_H ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__eq,axiom,
% 149.08/148.70 ! [V_qr,V_n,V_m] :
% 149.08/148.70 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 149.08/148.70 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 149.08/148.70 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__def,axiom,
% 149.08/148.70 ! [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)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_mod__eq,axiom,
% 149.08/148.70 ! [V_r,V_q,V_n,V_m] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_div__eq,axiom,
% 149.08/148.70 ! [V_r,V_q,V_n,V_m] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negateSnd__def,axiom,
% 149.08/148.70 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel,axiom,
% 149.08/148.70 ! [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)))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 149.08/148.70 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( 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)))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 149.08/148.70 => 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)))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pdivmod__def,axiom,
% 149.08/148.70 ! [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))) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_pdivmod__posDivAlg,axiom,
% 149.08/148.70 ! [V_k,V_l] :
% 149.08/148.70 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_divmod__int__code,axiom,
% 149.08/148.70 ! [V_l_2,V_k_2] :
% 149.08/148.70 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.70 => 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)))) ) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_negDivAlg_Opsimps,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( ( 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)))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ ( 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)))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_small_H_Opsimps,axiom,
% 149.08/148.70 ! [V_i_2,V_d_2,V_f_2] :
% 149.08/148.70 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_f_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2))))
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 149.08/148.70 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm)) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 149.08/148.70 => c_Smallcheck_Osmall_H(V_f_2,V_d_2,V_i_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm)),tc_List_Olist(tc_Code__Evaluation_Oterm),c_Smallcheck_Osmall_H(V_f_2,V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Option_Ooption_OSome(tc_List_Olist(tc_Code__Evaluation_Oterm))),hAPP(V_f_2,V_i_2)) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_posDivAlg_Opsimps,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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) )
% 149.08/148.70 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 149.08/148.70 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.70 => 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))) ) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_accp_Osimps,axiom,
% 149.08/148.70 ! [V_a_2,V_r_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 149.08/148.70 <=> ! [B_x] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 149.08/148.70 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_accp_Oequations,axiom,
% 149.08/148.70 ! [V_a_2,V_r_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2))
% 149.08/148.70 <=> ! [B_x] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 149.08/148.70 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_accp__downward,axiom,
% 149.08/148.70 ! [V_a_2,V_b_2,V_r_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_b_2))
% 149.08/148.70 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 149.08/148.70 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_a_2)) ) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_accp__subset,axiom,
% 149.08/148.70 ! [V_R2_2,V_R1_2,T_a] :
% 149.08/148.70 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 149.08/148.70 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_a,V_R2_2)),c_Wellfounded_Oaccp(T_a,V_R1_2))) ) ).
% 149.08/148.70
% 149.08/148.70 fof(fact_norm__frac_Opsimps,axiom,
% 149.08/148.70 ! [V_b_2,V_a_2] :
% 149.08/148.70 ( 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)))
% 149.08/148.70 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => 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)) )
% 149.08/148.70 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.70 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 149.08/148.71 => 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)) )
% 149.08/148.71 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 149.08/148.71 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 149.08/148.71 => 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))) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_negDivAlg_Opinduct,axiom,
% 149.08/148.71 ! [V_P_2,V_a1_2,V_a0_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ! [B_a,B_b] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ( ~ ( 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)))
% 149.08/148.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.71 => 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))) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_posDivAlg_Opinduct,axiom,
% 149.08/148.71 ! [V_P_2,V_a1_2,V_a0_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ! [B_a,B_b] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 149.08/148.71 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 149.08/148.71 => 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))) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_nat__gcd_Opsimps,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.71 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 149.08/148.71 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.71 => 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)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_small_H_Opinduct,axiom,
% 149.08/148.71 ! [V_P_2,V_a2_2,V_a1_2,V_a0_2] :
% 149.08/148.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),V_a0_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a1_2),V_a2_2))))
% 149.08/148.71 => ( ! [B_f,B_d,B_i] :
% 149.08/148.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),c_Smallcheck_Osmall_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_Int_Oint,tc_Option_Ooption(tc_List_Olist(tc_Code__Evaluation_Oterm))),tc_prod(tc_Int_Oint,tc_Int_Oint)),B_f),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i))))
% 149.08/148.71 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 149.08/148.71 => ( hAPP(B_f,B_i) = c_Option_Ooption_ONone(tc_List_Olist(tc_Code__Evaluation_Oterm))
% 149.08/148.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,B_f),B_d),B_i)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2),V_a2_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__pos__neg__1__number__of,axiom,
% 149.08/148.71 ! [V_w] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => 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))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__def,axiom,
% 149.08/148.71 ! [V_p_2,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,T_a),hAPP(c_COMBK(tc_fun(T_a,T_a),T_b),c_COMBI(T_a))),V_p_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__conv,axiom,
% 149.08/148.71 ! [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 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__eqD,axiom,
% 149.08/148.71 ! [V_a,V_y,V_x,T_a,T_b] :
% 149.08/148.71 ( 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
% 149.08/148.71 => V_y = V_a ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__apsnd,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapsnd(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__eq__conv,axiom,
% 149.08/148.71 ! [V_g_2,V_x_2,V_f_2,T_a,T_b,T_c] :
% 149.08/148.71 ( hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_g_2),V_x_2)
% 149.08/148.71 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_c),V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__int__def,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__neg__pos,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__pos__pos,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__pos__pos__1__number__of,axiom,
% 149.08/148.71 ! [V_w] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => 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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__pos__neg,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => 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)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__neg__neg,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => 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)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_in__measure,axiom,
% 149.08/148.71 ! [V_f_2,V_y_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)))
% 149.08/148.71 <=> 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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_norm__frac_Opinduct,axiom,
% 149.08/148.71 ! [V_P_2,V_a1_2,V_a0_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ! [B_a,B_b] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => 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))) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,B_a),B_b)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__pos__neg__1__number__of,axiom,
% 149.08/148.71 ! [V_w] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => 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))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Pair__fst__snd__eq,axiom,
% 149.08/148.71 ! [T_b,T_a,V_t_2,V_s_2] :
% 149.08/148.71 ( V_s_2 = V_t_2
% 149.08/148.71 <=> ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_t_2)
% 149.08/148.71 & hAPP(c_Product__Type_Osnd(T_a,T_b),V_s_2) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_t_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_prod__eqI,axiom,
% 149.08/148.71 ! [V_q,V_p,T_b,T_a] :
% 149.08/148.71 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 149.08/148.71 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 149.08/148.71 => V_p = V_q ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__apsnd,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_a,T_c),V_x_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__eqD,axiom,
% 149.08/148.71 ! [V_a,V_y,V_x,T_b,T_a] :
% 149.08/148.71 ( 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
% 149.08/148.71 => V_x = V_a ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__conv,axiom,
% 149.08/148.71 ! [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 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__def,axiom,
% 149.08/148.71 ! [V_p_2,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_a),c_COMBK(T_a,T_b)),V_p_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__collapse,axiom,
% 149.08/148.71 ! [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 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_surjective__pairing,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_prod__case__beta,axiom,
% 149.08/148.71 ! [V_p_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__int__def,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mod__nat__def,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_split__beta,axiom,
% 149.08/148.71 ! [V_z_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_P_2),V_z_2) = hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_z_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_z_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_split__comp__eq,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),tc_prod(T_a,T_b)),V_f_2),hAPP(hAPP(c_COMBB(T_a,T_d,tc_prod(T_a,T_b)),V_g_2),c_Product__Type_Ofst(T_a,T_b)))),c_Product__Type_Osnd(T_a,T_b)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,T_c),T_a),V_f_2),V_g_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_split__def,axiom,
% 149.08/148.71 ! [V_p_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2)),hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_The__split,axiom,
% 149.08/148.71 ! [V_P_2,T_b,T_a] : c_HOL_OThe(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_HOL_OThe(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__neg__pos,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__pos__pos,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__pos__pos__1__number__of,axiom,
% 149.08/148.71 ! [V_w] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => 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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__pos__neg,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => 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)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__neg__neg,axiom,
% 149.08/148.71 ! [V_b,V_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 149.08/148.71 => 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)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_prod__size__simp,axiom,
% 149.08/148.71 ! [V_p_2,V_g_2,V_f_2,T_b,T_a] : c_Product__Type_Oprod_Oprod__size(T_a,T_b,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_a,T_b),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_conjI__realizer,axiom,
% 149.08/148.71 ! [T_b,T_a,V_q_2,V_Q_2,V_p_2,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,V_p_2))
% 149.08/148.71 => ( hBOOL(hAPP(V_Q_2,V_q_2))
% 149.08/148.71 => ( hBOOL(hAPP(V_P_2,hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2))))
% 149.08/148.71 & hBOOL(hAPP(V_Q_2,hAPP(c_Product__Type_Osnd(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_p_2),V_q_2)))) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_exI__realizer,axiom,
% 149.08/148.71 ! [T_a,T_b,V_x_2,V_y_2,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_P_2,V_y_2),V_x_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_div__nat__def,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_divmod__nat__rel__def,axiom,
% 149.08/148.71 ! [V_qr_2,V_n_2,V_m_2] :
% 149.08/148.71 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 149.08/148.71 <=> ( 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))
% 149.08/148.71 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.71 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 149.08/148.71 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.71 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 149.08/148.71 => ( 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)))
% 149.08/148.71 & 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)) ) )
% 149.08/148.71 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 149.08/148.71 => ( 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)))
% 149.08/148.71 & 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))) ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_nat__def,axiom,
% 149.08/148.71 ! [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)))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_nat__gcd_Opinduct,axiom,
% 149.08/148.71 ! [V_P_2,V_a1_2,V_a0_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ! [B_x,B_y] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,B_x),B_y)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mlex__leq,axiom,
% 149.08/148.71 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Rep__Integ__inject,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2] :
% 149.08/148.71 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 149.08/148.71 <=> V_x_2 = V_y_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mlex__less,axiom,
% 149.08/148.71 ! [V_R_2,T_a,V_y_2,V_x_2,V_f_2] :
% 149.08/148.71 ( 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)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_prod_Orecs,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,V_f1_2,T_a,T_c,T_b] : c_Product__Type_Oprod_Oprod__rec(T_b,T_c,T_a,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osize_I1_J,axiom,
% 149.08/148.71 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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nats__number__of,axiom,
% 149.08/148.71 ! [V_w_2,T_a] :
% 149.08/148.71 ( class_Int_Onumber__ring(T_a)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nats__0,axiom,
% 149.08/148.71 ! [T_a] :
% 149.08/148.71 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nats__add,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,T_a] :
% 149.08/148.71 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nats__mult,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,T_a] :
% 149.08/148.71 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Nat_Osemiring__1__class_ONats(T_a)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nats__1,axiom,
% 149.08/148.71 ! [T_a] :
% 149.08/148.71 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),c_Groups_Oone__class_Oone(T_a)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_of__nat__in__Nats,axiom,
% 149.08/148.71 ! [V_n_2,T_a] :
% 149.08/148.71 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n_2)),c_Nat_Osemiring__1__class_ONats(T_a))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osize_I2_J,axiom,
% 149.08/148.71 ! [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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 149.08/148.71 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_b,T_a] :
% 149.08/148.71 ( c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 149.08/148.71 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 149.08/148.71 | ? [B_x,B_y] :
% 149.08/148.71 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a2_2))
% 149.08/148.71 & c_Nitpick_Ofold__graph_H(T_a,T_b,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),B_y) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_in__lex__prod,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_a,T_b,V_r_2,V_s_2)))
% 149.08/148.71 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_H_2)),V_r_2))
% 149.08/148.71 | ( V_a_2 = V_a_H_2
% 149.08/148.71 & 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_b_H_2)),V_s_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Oinject,axiom,
% 149.08/148.71 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 149.08/148.71 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 149.08/148.71 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 149.08/148.71 ! [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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 149.08/148.71 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Suc__code__numeral__minus__one,axiom,
% 149.08/148.71 ! [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 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osize_I4_J,axiom,
% 149.08/148.71 ! [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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_same__fstI,axiom,
% 149.08/148.71 ! [T_a,V_R_2,V_y_2,V_y_H_2,T_b,V_x_2,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_a,T_b),tc_prod(T_a,T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_a,T_b),tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__apsnd,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__conv,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__eq__conv,axiom,
% 149.08/148.71 ! [V_g_2,V_x_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.71 ( hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_g_2),V_x_2)
% 149.08/148.71 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__apfst,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_b),V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__apfst,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Oapfst(T_c,T_b,T_a,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_c,T_a),V_x_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__apfst__commute,axiom,
% 149.08/148.71 ! [V_p_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,V_g_2),hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_d,V_f_2),V_p_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osize_I3_J,axiom,
% 149.08/148.71 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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__apfst,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_a,T_c,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_d,T_c),V_x_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__lessI2,axiom,
% 149.08/148.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__ext__additive,axiom,
% 149.08/148.71 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 149.08/148.71 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__lessI1,axiom,
% 149.08/148.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 149.08/148.71 => 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)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 149.08/148.71 ! [V_f2_2,V_f1_2,T_a] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_a,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__extp__max__ext__eq,axiom,
% 149.08/148.71 ! [V_xa_2,V_x_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Omax__extp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_R_2),V_x_2,V_xa_2)
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__leqI2,axiom,
% 149.08/148.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_smax__insertI,axiom,
% 149.08/148.71 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => 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)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_smax__emptyI,axiom,
% 149.08/148.71 ! [V_Y_2] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 149.08/148.71 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 149.08/148.71 => 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)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__strict__def,axiom,
% 149.08/148.71 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__leqI1,axiom,
% 149.08/148.71 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 149.08/148.71 => 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)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wmin__insertI,axiom,
% 149.08/148.71 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => 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)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wmax__insertI,axiom,
% 149.08/148.71 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => 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)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_smin__insertI,axiom,
% 149.08/148.71 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => ( 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))
% 149.08/148.71 => 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)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wmax__emptyI,axiom,
% 149.08/148.71 ! [V_X_2] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 149.08/148.71 => 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)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wmin__emptyI,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_smin__emptyI,axiom,
% 149.08/148.71 ! [V_X_2] :
% 149.08/148.71 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 149.08/148.71 => 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)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__weak__def,axiom,
% 149.08/148.71 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)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_min__weak__def,axiom,
% 149.08/148.71 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)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_min__rpair__set,axiom,
% 149.08/148.71 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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__rpair__set,axiom,
% 149.08/148.71 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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_min__strict__def,axiom,
% 149.08/148.71 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_less__than__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2] :
% 149.08/148.71 ( 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))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_intrel__iff,axiom,
% 149.08/148.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 149.08/148.71 ( 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))
% 149.08/148.71 <=> 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) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rp__inv__image__rp,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_P_2,T_a] :
% 149.08/148.71 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 149.08/148.71 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_FunDef_Orp__inv__image(T_a,T_b),V_P_2),V_f_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pair__less__def,axiom,
% 149.08/148.71 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mlex__prod__def,axiom,
% 149.08/148.71 ! [V_R_2,V_f_2,T_a] : c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_a),T_a),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_a,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(tc_Nat_Onat,T_a)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_a,tc_prod(tc_Nat_Onat,T_a)),T_a),c_Product__Type_OPair(tc_Nat_Onat,T_a)),V_f_2)),c_COMBI(T_a))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rp__inv__image__def,axiom,
% 149.08/148.71 ! [T_b,T_a] : c_FunDef_Orp__inv__image(T_a,T_b) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_COMBC(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_fun(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),c_COMBS(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_fun(tc_fun(T_b,T_a),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_prod(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_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_COMBB(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_prod(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),tc_fun(T_b,T_a)),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)))),c_Relation_Oinv__image(T_a,T_b))))),c_Relation_Oinv__image(T_a,T_b))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__intrel__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2] :
% 149.08/148.71 ( 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))))
% 149.08/148.71 <=> 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)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_measure__def,axiom,
% 149.08/148.71 ! [T_a] : c_Wellfounded_Omeasure(T_a) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_a),c_Wellfounded_Oless__than) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__singleton,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,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_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_b,T_a))),hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2))),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__singleton__iff,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,T_b,V_b_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,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))))))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inv__image__def,axiom,
% 149.08/148.71 ! [V_f_2,V_r_2,T_a,T_b] : hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,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_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_b,T_b)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),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_a),c_member(tc_prod(T_b,T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_prod(T_b,T_b))),T_a),c_COMBB(T_b,tc_prod(T_b,T_b),T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_prod(T_b,T_b)),T_a),c_Product__Type_OPair(T_b,T_b)),V_f_2))),V_f_2)))),V_r_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__empty,axiom,
% 149.08/148.71 ! [V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__Un,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__UN,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_c,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__Int__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__mono,axiom,
% 149.08/148.71 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Un__Image,axiom,
% 149.08/148.71 ! [V_A_2,V_S_2,V_R_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_S_2),V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_in__inv__image,axiom,
% 149.08/148.71 ! [V_f_2,V_r_2,T_b,V_y_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_r_2),V_f_2)))
% 149.08/148.71 <=> 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,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__INT__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_c,V_r_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_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))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rev__ImageI,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_A_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__iff,axiom,
% 149.08/148.71 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 149.08/148.71 <=> ? [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__eq__UN,axiom,
% 149.08/148.71 ! [V_B_2,V_r_2,T_a,T_b] : hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_a,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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_of__int,axiom,
% 149.08/148.71 ! [V_j_2,V_i_2,T_a] :
% 149.08/148.71 ( class_Rings_Oring__1(T_a)
% 149.08/148.71 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),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_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_j_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_One__int__def,axiom,
% 149.08/148.71 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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mult,axiom,
% 149.08/148.71 ! [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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Rep__Integ__inverse,axiom,
% 149.08/148.71 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_minus,axiom,
% 149.08/148.71 ! [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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Zero__int__def,axiom,
% 149.08/148.71 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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_int__def,axiom,
% 149.08/148.71 ! [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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_add,axiom,
% 149.08/148.71 ! [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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_nat,axiom,
% 149.08/148.71 ! [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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_minus__int__def,axiom,
% 149.08/148.71 ! [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))))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_less,axiom,
% 149.08/148.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 149.08/148.71 ( 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)))))))
% 149.08/148.71 <=> 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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_le,axiom,
% 149.08/148.71 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 149.08/148.71 ( 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)))))))
% 149.08/148.71 <=> 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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_irrefl__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Relation_Oirrefl(T_a,V_r_2)
% 149.08/148.71 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_eq__Abs__Integ,axiom,
% 149.08/148.71 ! [V_z_2] :
% 149.08/148.71 ~ ! [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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Field__insert,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,V_a_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_a),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Field__Union,axiom,
% 149.08/148.71 ! [V_R_2,T_a] : hAPP(c_Relation_OField(T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),c_Relation_OField(T_a)),V_R_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Field__empty,axiom,
% 149.08/148.71 ! [T_a] : hAPP(c_Relation_OField(T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mono__Field,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Field__Un,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_Relation_OField(T_a),V_s_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__Field,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_OField(T_a),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__def,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__def,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),c_Relation_OImage(T_a,T_a,V_r_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_ImageE,axiom,
% 149.08/148.71 ! [V_A_2,V_r_2,T_b,V_b_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)))
% 149.08/148.71 => ~ ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__is__empty,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 149.08/148.71 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__is__empty2,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)
% 149.08/148.71 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__empty,axiom,
% 149.08/148.71 ! [V_r_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__def_H,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Relation_OId__on(T_a,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj)),c_fequal))),V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__empty,axiom,
% 149.08/148.71 ! [T_a] : c_Relation_OId__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__Id__on,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotientI,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__eqI,axiom,
% 149.08/148.71 ! [V_A_2,T_a,V_b_2,V_a_2] :
% 149.08/148.71 ( V_a_2 = V_b_2
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId__on(T_a,V_A_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__iff,axiom,
% 149.08/148.71 ! [V_A_2,V_y_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Relation_OId__on(T_a,V_A_2)))
% 149.08/148.71 <=> ( V_x_2 = V_y_2
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_singleton__quotient,axiom,
% 149.08/148.71 ! [V_r_2,V_x_2,T_a] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__class__nondisjoint,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_subset__equiv__class,axiom,
% 149.08/148.71 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotientE,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,V_X_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ~ ! [B_x] :
% 149.08/148.71 ( V_X_2 = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__intrel,axiom,
% 149.08/148.71 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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Union__quotient,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = V_A_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__class__self,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__disj,axiom,
% 149.08/148.71 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( V_X_2 = V_Y_2
% 149.08/148.71 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__class__eq,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__eq__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 149.08/148.71 => ( V_X_2 = V_Y_2
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__eqI,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_X_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_Y_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.71 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_eq__equiv__class__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 149.08/148.71 => ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_eq__equiv__class,axiom,
% 149.08/148.71 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_a] :
% 149.08/148.71 ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__class__eq__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.71 <=> ( hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__class__subset,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_eq__equiv__class__iff2,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 149.08/148.71 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__equiv__class2,axiom,
% 149.08/148.71 ! [V_a2_2,V_a1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 149.08/148.71 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a1_2),V_A1_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a2_2),V_A2_2))
% 149.08/148.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__equiv__class,axiom,
% 149.08/148.71 ! [V_a_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equivp__equiv,axiom,
% 149.08/148.71 ! [V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_A_2)
% 149.08/148.71 <=> c_Equiv__Relations_Oequivp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_identity__equivp,axiom,
% 149.08/148.71 ! [T_a] : c_Equiv__Relations_Oequivp(T_a,c_fequal) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equivp__def,axiom,
% 149.08/148.71 ! [V_R_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 149.08/148.71 <=> ! [B_x,B_y] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 149.08/148.71 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equivp__reflp,axiom,
% 149.08/148.71 ! [V_x_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equivp__symp,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equivp__transp,axiom,
% 149.08/148.71 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequivp(T_a,V_R_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_congruent2__implies__congruent,axiom,
% 149.08/148.71 ! [V_a_2,V_f_2,V_r2_2,T_c,T_b,V_r1_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r1_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_congruent2D,axiom,
% 149.08/148.71 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_c,T_b,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Ocongruent2(T_a,T_b,T_c,V_r1_2,V_r2_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y1_2),V_z1_2)),V_r1_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y2_2),V_z2_2)),V_r2_2))
% 149.08/148.71 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_congruentD,axiom,
% 149.08/148.71 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_r_2))
% 149.08/148.71 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_congruent2__implies__congruent__UN,axiom,
% 149.08/148.71 ! [V_a_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 149.08/148.71 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A2_2))
% 149.08/148.71 => c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_c,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),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_r2_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)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__equiv__class__inject,axiom,
% 149.08/148.71 ! [V_Y_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 149.08/148.71 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_Y_2),V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => ! [B_y] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_A_2))
% 149.08/148.71 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2)) ) ) )
% 149.08/148.71 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__equiv__class__type2,axiom,
% 149.08/148.71 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_c,V_r2_2,V_A2_2,T_b,V_r1_2,V_A1_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A1_2,V_r1_2)
% 149.08/148.71 => ( c_Equiv__Relations_Oequiv(T_b,V_A2_2,V_r2_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent2(T_a,T_b,tc_fun(T_c,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A1_2),V_r1_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A2_2),V_r2_2)))
% 149.08/148.71 => ( ! [B_x1] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x1),V_A1_2))
% 149.08/148.71 => ! [B_x2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x2),V_A2_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_c,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__equiv__class__type,axiom,
% 149.08/148.71 ! [V_B_2,V_X_2,V_f_2,T_b,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( c_Equiv__Relations_Ocongruent(T_a,tc_fun(T_b,tc_HOL_Obool),V_r_2,V_f_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Integ__def,axiom,
% 149.08/148.71 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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__onE,axiom,
% 149.08/148.71 ! [V_A_2,V_ca_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_ca_2),c_Relation_OId__on(T_a,V_A_2)))
% 149.08/148.71 => ~ ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__quotient__disjoint,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 149.08/148.71 => hAPP(c_Finite__Set_Ocard(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__empty,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_a] : c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__uminus,axiom,
% 149.08/148.71 ! [V_A_2,T_a] :
% 149.08/148.71 ( class_Groups_Oordered__ab__group__add(T_a)
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_a,c_Groups_Ouminus__class_Ouminus(T_a),V_A_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_subset__inj__on,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__Int,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__diff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__def,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 <=> ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => ! [B_xa] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 149.08/148.71 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 149.08/148.71 => B_x = B_xa ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__id2,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_COMBI(T_a),V_A_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__contraD,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( V_x_2 != V_y_2
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 149.08/148.71 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__iff,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 149.08/148.71 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 149.08/148.71 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__onD,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2))
% 149.08/148.71 => V_x_2 = V_y_2 ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 149.08/148.71 <=> V_A_2 = V_B_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__image,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__imageD,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2)))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2)
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__image__eq__iff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)
% 149.08/148.71 <=> V_A_2 = V_B_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__fun,axiom,
% 149.08/148.71 ! [T_c,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,tc_fun(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_b),T_a),c_COMBK(T_b,T_c)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__eq,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 149.08/148.71 <=> V_x_2 = V_y_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_injD,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 149.08/148.71 => V_x_2 = V_y_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__strict__subset,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_range__ex1__eq,axiom,
% 149.08/148.71 ! [V_b_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))))
% 149.08/148.71 <=> ? [B_x] :
% 149.08/148.71 ( V_b_2 = hAPP(V_f_2,B_x)
% 149.08/148.71 & ! [B_y] :
% 149.08/148.71 ( V_b_2 = hAPP(V_f_2,B_y)
% 149.08/148.71 => B_y = B_x ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__image__mem__iff,axiom,
% 149.08/148.71 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__iff__surj,axiom,
% 149.08/148.71 ! [V_A_H_2,T_b,T_a,V_A_2] :
% 149.08/148.71 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( ? [B_f] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_A_H_2)) )
% 149.08/148.71 <=> ? [B_g] : hAPP(c_Set_Oimage(T_b,T_a,B_g),V_A_H_2) = V_A_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_endo__inj__surj,axiom,
% 149.08/148.71 ! [V_f_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2)
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__surj__inj,axiom,
% 149.08/148.71 ! [V_f_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_a,T_a,V_f_2),V_A_2)))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_a,V_f_2,V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__UNIV__surj__inj,axiom,
% 149.08/148.71 ! [V_f_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__UNIV__inj__surj,axiom,
% 149.08/148.71 ! [V_f_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__image__subset__iff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__image__Int,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__Int,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_eq__card__imp__inj__on,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__iff__eq__card,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 <=> hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_a),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__image__set__diff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_C_2))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__set__diff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,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_Oimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pigeonhole,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 149.08/148.71 => ~ c_Fun_Oinj__on(T_b,T_a,V_f_2,V_A_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__fun__updI,axiom,
% 149.08/148.71 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_x_2),V_y_2),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__singleton,axiom,
% 149.08/148.71 ! [T_a] : c_Fun_Oinj__on(T_a,tc_fun(T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Rep__Integ,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__bij__eq,axiom,
% 149.08/148.71 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_b,T_a,V_g_2,V_B_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_g_2),V_B_2)),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 149.08/148.71 => hAPP(c_Finite__Set_Ocard(T_a),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),V_B_2) ) ) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__image__Compl__subset,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__insert,axiom,
% 149.08/148.71 ! [V_A_2,V_a_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2))
% 149.08/148.71 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 & ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__Un,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 <=> ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 & c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__inj__on__le,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)),V_B_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__iff__card__le,axiom,
% 149.08/148.71 ! [V_B_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 149.08/148.71 => ( ? [B_f] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,B_f,V_A_2)
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,T_b,B_f),V_A_2)),V_B_2)) )
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_quotient__diff1,axiom,
% 149.08/148.71 ! [V_a_2,V_A_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),T_a),c_Equiv__Relations_Oquotient(T_a)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2),V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__INT,axiom,
% 149.08/148.71 ! [V_j_2,V_B_2,V_A_2,T_c,V_C_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_C_2)
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_j_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,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_a,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Oimage(T_a,T_b,V_f_2)),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition__Integ,axiom,
% 149.08/148.71 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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__into,axiom,
% 149.08/148.71 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2)),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__add__nat,axiom,
% 149.08/148.71 ! [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) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__Suc,axiom,
% 149.08/148.71 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__Some,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_a),c_Option_Ooption_OSome(T_a),V_A_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__of__nat,axiom,
% 149.08/148.71 ! [T_a] :
% 149.08/148.71 ( class_Nat_Osemiring__char__0(T_a)
% 149.08/148.71 => c_Fun_Oinj__on(tc_Nat_Onat,T_a,c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__int,axiom,
% 149.08/148.71 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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_swap__inj__on,axiom,
% 149.08/148.71 ! [V_A_2,T_b,T_a] : c_Fun_Oinj__on(tc_prod(T_a,T_b),tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_b,T_a)),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))),V_A_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__f__f,axiom,
% 149.08/148.71 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__f__eq,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.71 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__f__f,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hAPP(c_Fun_Othe__inv__into(T_a,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__the__inv__into,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__onto,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => hAPP(c_Set_Oimage(T_b,T_a,c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__graph,axiom,
% 149.08/148.71 ! [T_b,T_a] : c_Fun_Oinj__on(tc_fun(T_a,T_b),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Set_OCollect(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,T_b)),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool)),hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_a,T_b),tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__def,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,V_A_2,T_b,T_a] : hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_x_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_f__the__inv__into__f,axiom,
% 149.08/148.71 ! [V_y_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 => hAPP(V_f_2,hAPP(c_Fun_Othe__inv__into(T_a,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_ORep__range,axiom,
% 149.08/148.71 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => hAPP(c_Set_Oimage(T_a,T_b,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = V_A_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_OAbs__image,axiom,
% 149.08/148.71 ! [V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => hAPP(c_Set_Oimage(T_b,T_a,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_OAbs__inject,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 149.08/148.71 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 149.08/148.71 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_ORep__inject,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 149.08/148.71 <=> V_x_2 = V_y_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_ORep__inverse,axiom,
% 149.08/148.71 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_ORep,axiom,
% 149.08/148.71 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_type__definition_OAbs__inverse,axiom,
% 149.08/148.71 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_b,T_a] :
% 149.08/148.71 ( c_Typedef_Otype__definition(T_a,T_b,V_Rep_2,V_Abs_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 149.08/148.71 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__vimage__singleton,axiom,
% 149.08/148.71 ! [V_a_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(hAPP(c_Set_Oinsert(T_a),c_HOL_OThe(T_a,hAPP(hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_accp__acc__eq,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),V_x_2))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__def,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_a),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_a,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(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_a),c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(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_a),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBC(T_c,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_a,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_c),tc_fun(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_a,T_c)))),c_Product__Type_OPair(T_a,T_c)))),V_r_2))))),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_s_2))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimageI,axiom,
% 149.08/148.71 ! [T_b,V_B_2,T_a,V_b_2,V_a_2,V_f_2] :
% 149.08/148.71 ( hAPP(V_f_2,V_a_2) = V_b_2
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__compI,axiom,
% 149.08/148.71 ! [V_s_2,V_ca_2,T_c,V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_b_2),V_ca_2)),V_s_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_a_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__vimage__subset,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))),V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_surj__image__vimage__eq,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = V_A_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__UNIV,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,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_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__empty,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Un,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Compl,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__code,axiom,
% 149.08/148.71 ! [V_x_2,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2),V_x_2))
% 149.08/148.71 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__ident,axiom,
% 149.08/148.71 ! [V_Y_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_COMBI(T_a)),V_Y_2) = V_Y_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Collect__eq,axiom,
% 149.08/148.71 ! [V_P_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_OCollect(T_b),V_P_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),V_P_2),V_f_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__INT,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Int,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__mono,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_B_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__mono,axiom,
% 149.08/148.71 ! [V_s_2,V_s_H_2,T_c,V_r_2,V_r_H_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_O__assoc,axiom,
% 149.08/148.71 ! [V_T_2,V_S_2,V_R_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_c),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_d,T_b),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_d,T_c,T_b),V_S_2),V_T_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__distrib,axiom,
% 149.08/148.71 ! [V_T_2,V_S_2,V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),V_T_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__distrib2,axiom,
% 149.08/148.71 ! [V_R_2,V_T_2,V_S_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_c),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_T_2),V_R_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__empty1,axiom,
% 149.08/148.71 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__empty2,axiom,
% 149.08/148.71 ! [V_R_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__UNION__distrib,axiom,
% 149.08/148.71 ! [V_r_2,V_I_2,T_d,V_s_2,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d),hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_s_2)),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__UNION__distrib2,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,V_I_2,T_d,T_b,T_c,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_d),c_Relation_Orel__comp(T_a,T_c,T_b)),V_r_2)),V_s_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__UN,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_c,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Set_Ovimage(T_a,T_b,V_f_2)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Diff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,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_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__eq,axiom,
% 149.08/148.71 ! [V_B_2,V_f_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimageD,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimageI2,axiom,
% 149.08/148.71 ! [T_b,V_A_2,V_a_2,V_f_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_a_2)),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__def,axiom,
% 149.08/148.71 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(T_b)),V_f_2)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_union__comp__emptyL,axiom,
% 149.08/148.71 ! [V_B_2,V_C_2,V_A_2,T_a] :
% 149.08/148.71 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.71 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.71 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_union__comp__emptyR,axiom,
% 149.08/148.71 ! [V_C_2,V_B_2,V_A_2,T_a] :
% 149.08/148.71 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.71 => ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.71 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Union,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_a,T_b,V_f_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_acc__subset,axiom,
% 149.08/148.71 ! [V_R2_2,V_R1_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Oacc(T_a,V_R2_2)),c_Wellfounded_Oacc(T_a,V_R1_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__singleton__eq,axiom,
% 149.08/148.71 ! [V_b_2,V_f_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 149.08/148.71 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__insert,axiom,
% 149.08/148.71 ! [V_B_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,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))))),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__vimageD,axiom,
% 149.08/148.71 ! [V_F_2,V_h_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Set_Ovimage(T_a,T_b,V_h_2),V_F_2)))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_a,T_b,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__subsetD,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_B_2)),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__vimage__eq,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_Set_Ovimage(T_b,T_a,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__vimageI,axiom,
% 149.08/148.71 ! [V_h_2,T_b,V_F_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_b,T_a,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_a,V_h_2),V_F_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__vimage__image__eq,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__const,axiom,
% 149.08/148.71 ! [T_b,V_A_2,V_ca_2,T_a] :
% 149.08/148.71 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 149.08/148.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__eq__UN,axiom,
% 149.08/148.71 ! [V_B_2,V_f_2,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_Ovimage(T_a,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))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_acc__downward,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,V_b_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_acc_Osimps,axiom,
% 149.08/148.71 ! [V_r_2,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 149.08/148.71 <=> ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_a_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__subsetI,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__if,axiom,
% 149.08/148.71 ! [V_B_2,T_b,V_d_2,V_A_2,V_ca_2,T_a] :
% 149.08/148.71 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 149.08/148.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) )
% 149.08/148.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 149.08/148.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_ca_2),V_A_2))
% 149.08/148.71 => ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2) )
% 149.08/148.71 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_d_2),V_A_2))
% 149.08/148.71 => hAPP(c_Set_Ovimage(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,tc_fun(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_fun(T_a,T_a)),T_b),c_If(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__ext__compat,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_min__ext__compat,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_a,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_a,V_R_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pred__comp__rel__comp__eq,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),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))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_reduction__pairI,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 149.08/148.71 => c_FunDef_Oreduction__pair(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__extp_Oequations,axiom,
% 149.08/148.71 ! [V_a2_2,V_a1_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Omax__extp(T_a,V_R_2,V_a1_2,V_a2_2)
% 149.08/148.71 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 149.08/148.71 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 149.08/148.71 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 & ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 149.08/148.71 => ? [B_xa] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__less__than,axiom,
% 149.08/148.71 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pred__comp_Ointros,axiom,
% 149.08/148.71 ! [T_c,T_b,T_a,V_ca_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a_2),V_ca_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__empty,axiom,
% 149.08/148.71 ! [T_a] : c_Wellfounded_Owf(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__inv__image,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Oinv__image(T_a,T_b),V_r_2),V_f_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__lex__prod,axiom,
% 149.08/148.71 ! [V_rb_2,T_b,V_ra_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_ra_2)
% 149.08/148.71 => ( c_Wellfounded_Owf(T_b,V_rb_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Wellfounded_Olex__prod(T_a,T_b,V_ra_2,V_rb_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__measure,axiom,
% 149.08/148.71 ! [V_f_2,T_a] : c_Wellfounded_Owf(T_a,hAPP(c_Wellfounded_Omeasure(T_a),V_f_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__comp__self,axiom,
% 149.08/148.71 ! [V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__not__refl,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__not__sym,axiom,
% 149.08/148.71 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__asym,axiom,
% 149.08/148.71 ! [V_x_2,V_a_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_x_2)),V_r_2))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__irrefl,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__less,axiom,
% 149.08/148.71 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)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__ext__wf,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_a,V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__pair__less,axiom,
% 149.08/148.71 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__mlex,axiom,
% 149.08/148.71 ! [V_f_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,c_Wellfounded_Omlex__prod(T_a,V_f_2,V_R_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__subset,axiom,
% 149.08/148.71 ! [V_p_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_p_2),V_r_2))
% 149.08/148.71 => c_Wellfounded_Owf(T_a,V_p_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__Int2,axiom,
% 149.08/148.71 ! [V_r_H_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__Int1,axiom,
% 149.08/148.71 ! [V_r_H_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__finite__psubset,axiom,
% 149.08/148.71 ! [T_a] : c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_a)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pred__comp_Oequations,axiom,
% 149.08/148.71 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_c,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_a,T_b,T_c,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 149.08/148.71 <=> ? [B_b] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 149.08/148.71 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_min__ext__wf,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_fun(T_a,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_a,V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__int__ge__less__than,axiom,
% 149.08/148.71 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__int__ge__less__than2,axiom,
% 149.08/148.71 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__acc__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_acc__wfD,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__no__loop,axiom,
% 149.08/148.71 ! [V_R_2,T_a] :
% 149.08/148.71 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.71 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__union__merge,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 149.08/148.71 <=> c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_S_2),V_R_2))),V_S_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 <=> ~ ? [B_f] :
% 149.08/148.71 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfE__pf,axiom,
% 149.08/148.71 ! [V_A_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),V_A_2)))
% 149.08/148.71 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__union__compatible,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),V_S_2)),V_R_2))
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf,axiom,
% 149.08/148.71 ! [T_a] :
% 149.08/148.71 ( class_Orderings_Owellorder(T_a)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_a)))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_reduction__pair__def,axiom,
% 149.08/148.71 ! [V_P_2,T_a] :
% 149.08/148.71 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 149.08/148.71 <=> ( c_Wellfounded_Owf(T_a,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_reduction__pair__lemma,axiom,
% 149.08/148.71 ! [V_S_2,V_R_2,V_P_2,T_a] :
% 149.08/148.71 ( c_FunDef_Oreduction__pair(T_a,V_P_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2)))
% 149.08/148.71 => ( c_Wellfounded_Owf(T_a,V_S_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__lenlex,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olenlex(T_a,V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__if__measure,axiom,
% 149.08/148.71 ! [T_a,V_g_2,V_f_2,V_P_2] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.71 => 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))) )
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_a),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,T_a)),c_fequal)),V_g_2))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_max__ext_Ointros,axiom,
% 149.08/148.71 ! [V_R_2,V_Y_2,V_X_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_Y_2))
% 149.08/148.71 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_X_2))
% 149.08/148.71 => ? [B_xa] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_Y_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_a,V_R_2))) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_pred__nat__def,axiom,
% 149.08/148.71 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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__lex,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_List_Olist(T_a),c_List_Olex(T_a,V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__lexn,axiom,
% 149.08/148.71 ! [V_n_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(tc_List_Olist(T_a),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_lex__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] : c_List_Olex(T_a,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_a,V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_lexn_Osimps_I1_J,axiom,
% 149.08/148.71 ! [V_r_2,T_a] : hAPP(c_List_Olexn(T_a,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__pred__nat,axiom,
% 149.08/148.71 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__same__fst,axiom,
% 149.08/148.71 ! [T_a,V_R_2,T_b,V_P_2] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.71 => c_Wellfounded_Owf(T_b,hAPP(V_R_2,B_x)) )
% 149.08/148.71 => c_Wellfounded_Owf(tc_prod(T_a,T_b),c_Recdef_Osame__fst(T_a,T_b,V_P_2,V_R_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 149.08/148.71 ! [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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__Inter,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_a,V_S_2] :
% 149.08/148.71 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool))
% 149.08/148.71 => ( ! [B_A] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_A),V_S_2))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,B_A) )
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_S_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nitpick_Oone__frac__def,axiom,
% 149.08/148.71 ! [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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 149.08/148.71 ! [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))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nitpick_Ofrac__def,axiom,
% 149.08/148.71 ! [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)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Collect__split,axiom,
% 149.08/148.71 ! [V_P_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Set_OCollect(tc_prod(T_b,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),V_P_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__split__eq__Sigma,axiom,
% 149.08/148.71 ! [V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] : hAPP(c_Set_Oimage(T_c,tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_Oimage(T_c,T_a,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_Oimage(T_c,T_b,V_g_2)),hAPP(hAPP(c_COMBC(T_a,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_a),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_a),c_Set_Ovimage(T_c,T_a,V_f_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),c_Set_Oinsert(T_a)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),V_A_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 149.08/148.71 <=> c_Wellfounded_Owf(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__empty,axiom,
% 149.08/148.71 ! [T_a] : c_Wellfounded_OwfP(T_a,hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBK(tc_HOL_Obool,T_a),c_fFalse))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SigmaI,axiom,
% 149.08/148.71 ! [V_B_2,V_b_2,T_b,V_A_2,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_RangeI,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Id__on,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__accp__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 149.08/148.71 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),B_x1)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_accp__wfPD,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 149.08/148.71 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_a,V_r_2),V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Diff__distrib2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__Diff__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Diff__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__eq__cancel2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 149.08/148.71 => ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))
% 149.08/148.71 <=> V_A_2 = V_B_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Union,axiom,
% 149.08/148.71 ! [V_B_2,V_X_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),c_Product__Type_OSigma(T_a,T_b)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__empty1,axiom,
% 149.08/148.71 ! [V_B_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__cartesian__product,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum__cartesian__product,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__empty2,axiom,
% 149.08/148.71 ! [V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__empty,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.71 ( hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))
% 149.08/148.71 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Compl__Times__UNIV1,axiom,
% 149.08/148.71 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Compl__Times__UNIV2,axiom,
% 149.08/148.71 ! [V_A_2,T_b,T_a] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod__cartesian__product,axiom,
% 149.08/148.71 ! [V_A_2,V_B_2,V_f_2,T_c,T_b,T_a] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_a)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_a),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_a),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_a)),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_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),V_f_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))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__subset,axiom,
% 149.08/148.71 ! [V_p_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),V_p_2),V_r_2))
% 149.08/148.71 => c_Wellfounded_OwfP(T_a,V_p_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Un__distrib2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__Un__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Un__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_rel__comp__subset__Sigma,axiom,
% 149.08/148.71 ! [V_C_2,V_s_2,T_c,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_s_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))))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_C_2)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_swap__product,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_prod(T_a,T_b)),hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__cartesian__product,axiom,
% 149.08/148.71 ! [V_B_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_equiv__type,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Int__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_J_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_J_2),V_C_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__Int__distrib1,axiom,
% 149.08/148.71 ! [V_C_2,V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_C_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__Int__distrib2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_I_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),hAPP(hAPP(c_COMBS(T_a,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_a),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_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_I_2),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Id__on__subset__Times,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId__on(T_a,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Diff__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2))),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UNIV__Times__UNIV,axiom,
% 149.08/148.71 ! [T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SigmaE2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 149.08/148.71 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SigmaD2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SigmaD1,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mem__Sigma__iff,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 149.08/148.71 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Union,axiom,
% 149.08/148.71 ! [V_S_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_b,T_a)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__empty,axiom,
% 149.08/148.71 ! [T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__empty__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Un__eq,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__Range,axiom,
% 149.08/148.71 ! [V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__eq__Range,axiom,
% 149.08/148.71 ! [V_R_2,T_a,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_a,c_Product__Type_Osnd(T_b,T_a)),V_R_2) = hAPP(c_Relation_ORange(T_b,T_a),V_R_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__cartesian__product__singleton,axiom,
% 149.08/148.71 ! [V_A_2,V_x_2,T_b,T_a] : hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Times__subset__cancel2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,V_C_2,V_x_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_C_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_B_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_C_2))))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Image__subset,axiom,
% 149.08/148.71 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_b,V_r_2),V_C_2)),V_B_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__cartesian__productD2,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 149.08/148.71 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__cartesian__productD1,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))))
% 149.08/148.71 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Collect__split,axiom,
% 149.08/148.71 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_Set_OCollect(T_b),V_Q_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SetCompr__Sigma__eq,axiom,
% 149.08/148.71 ! [V_Q_2,V_P_2,T_b,T_a] : hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_a,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_a),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_a),c_fconj),V_P_2))),V_Q_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_Set_OCollect(T_a),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),c_Set_OCollect(T_b)),V_Q_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__image__times,axiom,
% 149.08/148.71 ! [V_A_2,T_b,T_a,V_B_2] :
% 149.08/148.71 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 149.08/148.71 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_b),V_B_2))) = V_A_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__image__times,axiom,
% 149.08/148.71 ! [V_B_2,T_b,T_a,V_A_2] :
% 149.08/148.71 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 149.08/148.71 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2))) = V_B_2 ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 149.08/148.71 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_y),V_a_2)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__insert,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,V_a_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Range__Int__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_b,T_a),V_A_2)),hAPP(c_Relation_ORange(T_b,T_a),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_insert__times__insert,axiom,
% 149.08/148.71 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__equiv__class,axiom,
% 149.08/148.71 ! [V_X_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2)))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_X_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__Times__distrib,axiom,
% 149.08/148.71 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_b,T_a,T_d,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_c,T_d),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),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(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_d,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_c),c_Product__Type_OSigma(T_a,T_b)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),T_d),c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sigma__def,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_a),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__quotient,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_a),V_A_2),V_r_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__in__rel,axiom,
% 149.08/148.71 ! [V_R_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_R_2)
% 149.08/148.71 => c_Wellfounded_OwfP(T_a,c_FunDef_Oin__rel(T_a,T_a,V_R_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__wf__eq,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2))
% 149.08/148.71 <=> c_Wellfounded_Owf(T_a,V_r_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.71 ( class_Rings_Osemiring__0(T_c)
% 149.08/148.71 => ( c_Fun_Oinj__on(tc_prod(T_a,T_b),T_c,hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),V_B_2)))
% 149.08/148.71 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,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_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_c),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_a),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_a,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_c),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),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_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(T_b,T_c)),tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool),T_a)),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))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_c),tc_fun(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_c),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),T_a),c_COMBB(T_c,T_c,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_a),c_Groups_Otimes__class_Otimes(T_c)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),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))))))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_RangeP__Range__eq,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ORange(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 149.08/148.71 ! [V_A_2,V_I_2,T_b,T_a] :
% 149.08/148.71 ? [B_f] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,tc_prod(T_b,T_a),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))
% 149.08/148.71 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_a,tc_prod(T_b,T_a),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_a),V_I_2),V_A_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_RangeP_Ointros,axiom,
% 149.08/148.71 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 149.08/148.71 => hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_b_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__id,axiom,
% 149.08/148.71 ! [V_Y_2,T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),V_Y_2) = V_Y_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__id,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : hAPP(c_Set_Ovimage(T_a,T_a,c_Fun_Oid(T_a)),V_A_2) = V_A_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_of__int__eq__id,axiom,
% 149.08/148.71 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Option_Omap_Oidentity,axiom,
% 149.08/148.71 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Option_Omap_Oid,axiom,
% 149.08/148.71 ! [T_a] : hAPP(c_Option_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_Option_Ooption(T_a)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_id__apply,axiom,
% 149.08/148.71 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 149.08/148.71
% 149.08/148.71 fof(fact_id__def,axiom,
% 149.08/148.71 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_RangeP_Oequations,axiom,
% 149.08/148.71 ! [V_a2_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Predicate_ORangeP(T_a,T_b,V_r_2),V_a2_2))
% 149.08/148.71 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__id,axiom,
% 149.08/148.71 ! [T_a,T_b] : c_Product__Type_Oapsnd(T_b,T_b,T_a,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__id,axiom,
% 149.08/148.71 ! [T_b,T_a] : c_Product__Type_Oapfst(T_a,T_a,T_b,c_Fun_Oid(T_a)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__id,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Fun_Oinj__on(T_a,T_a,c_Fun_Oid(T_a),V_A_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_surj__id,axiom,
% 149.08/148.71 ! [T_a] : hAPP(c_Set_Oimage(T_a,T_a,c_Fun_Oid(T_a)),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_split__Pair,axiom,
% 149.08/148.71 ! [T_b,T_a] : hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum__reindex__id,axiom,
% 149.08/148.71 ! [V_B_2,V_f_2,T_a,T_b] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod__reindex__id,axiom,
% 149.08/148.71 ! [V_B_2,V_f_2,T_a,T_b] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_b),c_Fun_Oid(T_b)),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod__Sigma,axiom,
% 149.08/148.71 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum__Sigma,axiom,
% 149.08/148.71 ! [V_f_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c),T_a),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_a,T_b),T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fold__image__Sigma,axiom,
% 149.08/148.71 ! [V_g_2,V_B_2,T_b,V_A_2,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 149.08/148.71 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(hAPP(c_COMBC(T_a,T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_c),tc_fun(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),T_c)),T_a),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)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,tc_prod(T_a,T_b),c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c),V_g_2)),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_card__SigmaI,axiom,
% 149.08/148.71 ! [V_B_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_x))) )
% 149.08/148.71 => hAPP(c_Finite__Set_Ocard(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat,T_a),c_Finite__Set_Ocard(T_b)),V_B_2)),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__SigmaI,axiom,
% 149.08/148.71 ! [V_B_2,T_b,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( ! [B_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(V_B_2,B_a))) )
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_RangeE,axiom,
% 149.08/148.71 ! [V_r_2,T_b,V_b_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),hAPP(c_Relation_ORange(T_b,T_a),V_r_2)))
% 149.08/148.71 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),V_b_2)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_SigmaE,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_ca_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)))
% 149.08/148.71 => ~ ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => ! [B_y] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(V_B_2,B_x)))
% 149.08/148.71 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__acyclicP,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_OwfP(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__Un,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ( c_Wellfounded_Owf(T_a,V_s_2)
% 149.08/148.71 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_DomainI,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__acyclic,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Id__on,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = V_A_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_acyclic__subset,axiom,
% 149.08/148.71 ! [V_r_2,V_s_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Oacyclic(T_a,V_s_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.71 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__empty__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_b,T_a] :
% 149.08/148.71 ( hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__empty,axiom,
% 149.08/148.71 ! [T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__mono,axiom,
% 149.08/148.71 ! [V_s_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_s_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Un__eq,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__Domain,axiom,
% 149.08/148.71 ! [V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__eq__Domain,axiom,
% 149.08/148.71 ! [V_R_2,T_b,T_a] : hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),V_R_2) = hAPP(c_Relation_ODomain(T_a,T_b),V_R_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__iff,axiom,
% 149.08/148.71 ! [V_r_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 149.08/148.71 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__insert,axiom,
% 149.08/148.71 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 149.08/148.71 => ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_finite__acyclic__wf,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 149.08/148.71 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 149.08/148.71 => c_Wellfounded_Owf(T_a,V_r_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Int__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Diff__subset,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_b,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_b),V_A_2)),hAPP(c_Relation_ODomain(T_a,T_b),V_B_2))),hAPP(c_Relation_ODomain(T_a,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Field__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_a,T_a),V_r_2)),hAPP(c_Relation_ORange(T_a,T_a),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Union,axiom,
% 149.08/148.71 ! [V_S_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Domain__Collect__split,axiom,
% 149.08/148.71 ! [V_P_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2))) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(T_b)),V_P_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_DomainP__Domain__eq,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2))
% 149.08/148.71 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Nitpick_Owf_H__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Nitpick_Owf_H(T_a,V_r_2)
% 149.08/148.71 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 149.08/148.71 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 149.08/148.71 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_DomainP_Ointros,axiom,
% 149.08/148.71 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 149.08/148.71 => hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_DomainP_Oequations,axiom,
% 149.08/148.71 ! [V_a1_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Predicate_ODomainP(T_a,T_b,V_r_2),V_a1_2))
% 149.08/148.71 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_DomainE,axiom,
% 149.08/148.71 ! [V_r_2,T_b,V_a_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_Relation_ODomain(T_a,T_b),V_r_2)))
% 149.08/148.71 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),B_y)),V_r_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__surj,axiom,
% 149.08/148.71 ! [V_g_2,T_c,T_d,V_f_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_a,T_c),tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__imageI,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_d,T_c,V_R_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_R_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_a,T_b),tc_prod(T_c,T_d),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)),V_R_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__prod__fun,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(c_Product__Type_Omap__pair(T_c,T_b,T_d,T_a,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__map__pair,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,V_f_2,T_d,T_c,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__ident,axiom,
% 149.08/148.71 ! [V_z_2,T_b,T_a] : hAPP(c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)),V_z_2) = V_z_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__simp,axiom,
% 149.08/148.71 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair_Oidentity,axiom,
% 149.08/148.71 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_COMBI(T_a),c_COMBI(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__def,axiom,
% 149.08/148.71 ! [V_f_2,T_a,T_c,T_b] : c_Product__Type_Oapsnd(T_b,T_c,T_a,V_f_2) = c_Product__Type_Omap__pair(T_a,T_a,T_b,T_c,c_Fun_Oid(T_a),V_f_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__def,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_c,T_a] : c_Product__Type_Oapfst(T_a,T_c,T_b,V_f_2) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_b,V_f_2,c_Fun_Oid(T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair_Oid,axiom,
% 149.08/148.71 ! [T_b,T_a] : c_Product__Type_Omap__pair(T_a,T_a,T_b,T_b,c_Fun_Oid(T_a),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__def,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(T_c,T_d)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,T_d),tc_fun(T_b,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_b,T_d),tc_fun(T_b,tc_prod(T_c,T_d))),T_a),c_COMBB(T_d,tc_prod(T_c,T_d),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_a),c_Product__Type_OPair(T_c,T_d)),V_f_2))),V_g_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__surj__on,axiom,
% 149.08/148.71 ! [V_B_H_2,V_B_2,V_g_2,T_c,T_d,V_A_H_2,V_A_2,V_f_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),V_A_2) = V_A_H_2
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_B_2) = V_B_H_2
% 149.08/148.71 => hAPP(c_Set_Oimage(tc_prod(T_b,T_d),tc_prod(T_a,T_c),c_Product__Type_Omap__pair(T_b,T_a,T_d,T_c,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))) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_H_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_H_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wf__map__pair__image,axiom,
% 149.08/148.71 ! [V_f_2,T_b,V_r_2,T_a] :
% 149.08/148.71 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => c_Wellfounded_Owf(T_b,hAPP(c_Set_Oimage(tc_prod(T_a,T_a),tc_prod(T_b,T_b),c_Product__Type_Omap__pair(T_a,T_b,T_a,T_b,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__inj__on,axiom,
% 149.08/148.71 ! [V_B_2,V_g_2,T_d,T_c,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,V_B_2)
% 149.08/148.71 => c_Fun_Oinj__on(tc_prod(T_a,T_c),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_a,T_b,T_c,T_d,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_a),V_B_2))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_prod__fun__imageE,axiom,
% 149.08/148.71 ! [V_R_2,V_g_2,V_f_2,T_d,T_c,V_ca_2,T_b,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_ca_2),hAPP(c_Set_Oimage(tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2)),V_R_2)))
% 149.08/148.71 => ~ ! [B_x,B_y] :
% 149.08/148.71 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)),V_R_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__def,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.71 & ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__Id__on,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Relation_Orefl__on(T_a,V_A_2,c_Relation_OId__on(T_a,V_A_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__empty,axiom,
% 149.08/148.71 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__Un,axiom,
% 149.08/148.71 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 149.08/148.71 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__Int,axiom,
% 149.08/148.71 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( c_Relation_Orefl__on(T_a,V_B_2,V_s_2)
% 149.08/148.71 => c_Relation_Orefl__on(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__onD2,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__onD1,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__onD,axiom,
% 149.08/148.71 ! [V_a_2,V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_reflp__def,axiom,
% 149.08/148.71 ! [V_r_2,T_a] :
% 149.08/148.71 ( c_Predicate_Oreflp(T_a,V_r_2)
% 149.08/148.71 <=> c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__onI,axiom,
% 149.08/148.71 ! [V_A_2,V_r_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.71 => ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) )
% 149.08/148.71 => c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_reflpE,axiom,
% 149.08/148.71 ! [V_x_2,V_r_2,T_a] :
% 149.08/148.71 ( c_Predicate_Oreflp(T_a,V_r_2)
% 149.08/148.71 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Rep__Integ__induct,axiom,
% 149.08/148.71 ! [V_P_2,V_y_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 149.08/148.71 => ( ! [B_x] : hBOOL(hAPP(V_P_2,hAPP(c_Int_ORep__Integ,B_x)))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Rep__Integ__cases,axiom,
% 149.08/148.71 ! [V_y_2] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 149.08/148.71 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__INTER,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,T_c,T_b,T_a,V_I_2] :
% 149.08/148.71 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( ! [B_i] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_i),V_I_2))
% 149.08/148.71 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(V_A_2,B_i)) )
% 149.08/148.71 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_refl__on__def_H,axiom,
% 149.08/148.71 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.71 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.71 <=> ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2))),B_x)) )
% 149.08/148.71 & ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2)) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_ball__empty,axiom,
% 149.08/148.71 ! [V_P_2,T_a,B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,B_x)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_ball__UNIV,axiom,
% 149.08/148.71 ! [V_P_2,T_a] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.71 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_INFI__bool__eq,axiom,
% 149.08/148.71 ! [T_a] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_a,tc_HOL_Obool) = c_Set_OBall(T_a) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Powp__def,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(c_Predicate_OPowp(T_a,V_A_2),V_B_2))
% 149.08/148.71 <=> ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_B_2))
% 149.08/148.71 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Collect__ball__eq,axiom,
% 149.08/148.71 ! [V_P_2,V_A_2,T_b,T_a] : hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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)))),V_P_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_b),c_Set_OCollect(T_a)),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),V_P_2))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_congruent__def,axiom,
% 149.08/148.71 ! [V_f_2,V_r_2,T_b,T_a] :
% 149.08/148.71 ( c_Equiv__Relations_Ocongruent(T_a,T_b,V_r_2,V_f_2)
% 149.08/148.71 <=> ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),V_r_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_INTER__def,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_a),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(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_member(T_a))),V_B_2)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Sup__Inf,axiom,
% 149.08/148.71 ! [V_A_2,T_a] :
% 149.08/148.71 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.71 => c_Complete__Lattice_OSup__class_OSup(T_a,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_a)))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Inf__Sup,axiom,
% 149.08/148.71 ! [V_A_2,T_a] :
% 149.08/148.71 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.71 => c_Complete__Lattice_OInf__class_OInf(T_a,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_a))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Abs__Integ__cases,axiom,
% 149.08/148.71 ! [V_x_2] :
% 149.08/148.71 ~ ! [B_y] :
% 149.08/148.71 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Abs__Integ__induct,axiom,
% 149.08/148.71 ! [V_x_2,V_P_2] :
% 149.08/148.71 ( ! [B_y] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 149.08/148.71 => hBOOL(hAPP(V_P_2,V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_triples__valid__Suc,axiom,
% 149.08/148.71 ! [V_n_2,V_ts_2,T_a] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 149.08/148.71 => c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 149.08/148.71 => ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 149.08/148.71 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n_2,B_x) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_hoare__valids__def,axiom,
% 149.08/148.71 ! [V_ts_2,V_Ga_2,T_a] :
% 149.08/148.71 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,V_ts_2)
% 149.08/148.71 <=> ! [B_n] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_Ga_2))
% 149.08/148.71 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) )
% 149.08/148.71 => ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_a)),B_x),V_ts_2))
% 149.08/148.71 => c_Hoare__Mirabelle_Otriple__valid(T_a,B_n,B_x) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Inter__eq,axiom,
% 149.08/148.71 ! [V_A_2,T_a] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_a,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),T_a),hAPP(c_COMBS(tc_fun(T_a,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_a,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_a,tc_HOL_Obool))),V_A_2)))),c_member(T_a)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__diff__nat,axiom,
% 149.08/148.71 ! [V_k_2,V_N_2] :
% 149.08/148.71 ( ! [B_x] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 149.08/148.71 => 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) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_wfP__SUP,axiom,
% 149.08/148.71 ! [T_a,V_r_2,T_b] :
% 149.08/148.71 ( ! [B_i] : c_Wellfounded_OwfP(T_b,hAPP(V_r_2,B_i))
% 149.08/148.71 => ( ! [B_i,B_j] :
% 149.08/148.71 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 149.08/148.71 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Predicate_ODomainP(T_b,T_b,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_b,T_b,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 149.08/148.71 => c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_a,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))),V_r_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mem__splitI2,axiom,
% 149.08/148.71 ! [V_ca_2,V_z_2,T_c,T_b,T_a,V_p_2] :
% 149.08/148.71 ( ! [B_a,B_b] :
% 149.08/148.71 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_a),B_b)
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 149.08/148.71 => hBOOL(hAPP(hAPP(c_member(T_c),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_c,tc_HOL_Obool)),V_ca_2),V_p_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_mem__splitE,axiom,
% 149.08/148.71 ! [V_p_2,V_ca_2,T_c,T_b,V_z_2,T_a] :
% 149.08/148.71 ( hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_a,tc_HOL_Obool)),V_ca_2),V_p_2)))
% 149.08/148.71 => ~ ! [B_x,B_y] :
% 149.08/148.71 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)
% 149.08/148.71 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__Times,axiom,
% 149.08/148.71 ! [V_B_2,V_A_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,tc_prod(T_b,T_c),V_f_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))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_b,T_a,c_Product__Type_Ofst(T_b,T_c)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_a,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_b,T_c),T_c,T_a,c_Product__Type_Osnd(T_b,T_c)),V_f_2)),V_B_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Eps__split,axiom,
% 149.08/148.71 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2)) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBS(tc_prod(T_a,T_b),T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),tc_prod(T_a,T_b)),V_P_2),c_Product__Type_Ofst(T_a,T_b))),c_Product__Type_Osnd(T_a,T_b))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_id__o,axiom,
% 149.08/148.71 ! [V_g_2,T_a,T_b] : hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_g_2) = V_g_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__id,axiom,
% 149.08/148.71 ! [V_f_2,T_b,T_a] : hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_f_2),c_Fun_Oid(T_a)) = V_f_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__eq__id__dest,axiom,
% 149.08/148.71 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 149.08/148.71 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_a,c_Fun_Oid(T_b)),V_ca_2)
% 149.08/148.71 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_vimage__compose,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,V_g_2,T_c,T_b,T_a] : hAPP(c_Set_Ovimage(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_a,T_c,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_g_2),V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_exE__some,axiom,
% 149.08/148.71 ! [T_a,V_ca_2,V_P_2] :
% 149.08/148.71 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 149.08/148.71 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_a,V_P_2)
% 149.08/148.71 => hBOOL(hAPP(V_P_2,V_ca_2)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 149.08/148.71 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Option_Omap_Ocompositionality,axiom,
% 149.08/148.71 ! [V_option_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_option_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_option_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_option__map__comp,axiom,
% 149.08/148.71 ! [V_opt_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_Option_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_Option_Omap(T_c,T_b),V_g_2),V_opt_2)) = hAPP(hAPP(c_Option_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_opt_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fun__upd__comp,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_c),V_g_2),V_x_2),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_some__sym__eq__trivial,axiom,
% 149.08/148.71 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_some__eq__trivial,axiom,
% 149.08/148.71 ! [V_x_2,T_a] : c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_some__eq__ex,axiom,
% 149.08/148.71 ! [T_a,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2)))
% 149.08/148.71 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_someI__ex,axiom,
% 149.08/148.71 ! [T_a,V_P_2] :
% 149.08/148.71 ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__assoc,axiom,
% 149.08/148.71 ! [V_h_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),hAPP(c_Fun_Ocomp(T_d,T_c,T_a,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_h_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__apply,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__eq__dest,axiom,
% 149.08/148.71 ! [V_v_2,V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 149.08/148.71 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 149.08/148.71 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__eq__elim,axiom,
% 149.08/148.71 ! [V_d_2,V_ca_2,T_d,V_b_2,V_a_2,T_a,T_b,T_c] :
% 149.08/148.71 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_d,T_b,T_a,V_ca_2),V_d_2)
% 149.08/148.71 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__def,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Option_Omap_Ocomp,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Option_Omap(T_a,T_c),V_g_2)) = hAPP(c_Option_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_comp__cong,axiom,
% 149.08/148.71 ! [T_e,T_d,T_c,T_a,T_b,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 149.08/148.71 ( 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))
% 149.08/148.71 => hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_d,T_a,T_e,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_tfl__some,axiom,
% 149.08/148.71 ! [T_a,B_P] :
% 149.08/148.71 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 149.08/148.71 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_a,B_P))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_someI,axiom,
% 149.08/148.71 ! [T_a,V_x_2,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.71 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OEps(T_a,V_P_2))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_o__eq__dest__lhs,axiom,
% 149.08/148.71 ! [V_v_2,V_ca_2,V_b_2,V_a_2,T_a,T_b,T_c] :
% 149.08/148.71 ( hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_a_2),V_b_2) = V_ca_2
% 149.08/148.71 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_K__record__comp,axiom,
% 149.08/148.71 ! [V_x_2,V_f_2,V_ca_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(T_b,T_a,T_c,hAPP(c_COMBK(T_a,T_b),V_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 149.08/148.71 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apsnd__compose,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_a,T_b,T_c] : hAPP(c_Product__Type_Oapsnd(T_c,T_b,T_a,V_f_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_a,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_x_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_apfst__compose,axiom,
% 149.08/148.71 ! [V_x_2,V_g_2,T_d,V_f_2,T_b,T_a,T_c] : hAPP(c_Product__Type_Oapfst(T_c,T_a,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_d,T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_d,V_f_2),V_g_2)),V_x_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__imageI2,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,V_f_H_2,T_c,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_H_2),V_f_2),V_A_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_c,V_f_2,V_A_2) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__comp,axiom,
% 149.08/148.71 ! [V_g_2,T_c,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 149.08/148.71 => c_Fun_Oinj__on(T_c,T_b,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_image__compose,axiom,
% 149.08/148.71 ! [V_r_2,V_g_2,V_f_2,T_c,T_a,T_b] : hAPP(c_Set_Oimage(T_b,T_a,hAPP(c_Fun_Ocomp(T_c,T_a,T_b,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_c,T_a,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_r_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_comp__surj,axiom,
% 149.08/148.71 ! [V_g_2,T_c,V_f_2,T_a,T_b] :
% 149.08/148.71 ( hAPP(c_Set_Oimage(T_b,T_a,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.71 => ( hAPP(c_Set_Oimage(T_a,T_c,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 149.08/148.71 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_a,T_c,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_c,tc_HOL_Obool)) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_comp__inj__on__iff,axiom,
% 149.08/148.71 ! [V_f_H_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_b,T_c,V_f_H_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 149.08/148.71 <=> c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_comp__inj__on,axiom,
% 149.08/148.71 ! [V_g_2,T_c,V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_b,T_c,V_g_2,hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2))
% 149.08/148.71 => c_Fun_Oinj__on(T_a,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_f_2),V_A_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_inj__on__imageI,axiom,
% 149.08/148.71 ! [V_A_2,V_f_2,V_g_2,T_c,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_g_2),V_f_2),V_A_2)
% 149.08/148.71 => c_Fun_Oinj__on(T_c,T_b,V_g_2,hAPP(c_Set_Oimage(T_a,T_c,V_f_2),V_A_2)) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair_Ocompositionality,axiom,
% 149.08/148.71 ! [V_prod_2,V_i_2,V_h_2,T_f,T_e,V_g_2,V_f_2,T_b,T_d,T_a,T_c] : hAPP(c_Product__Type_Omap__pair(T_c,T_a,T_d,T_b,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_e,T_a,T_f,T_b,hAPP(c_Fun_Ocomp(T_c,T_a,T_e,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_g_2),V_i_2)),V_prod_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair__compose,axiom,
% 149.08/148.71 ! [V_g2_2,V_g1_2,T_f,V_f2_2,V_f1_2,T_e,T_d,T_b,T_c,T_a] : c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_f2_2,V_g2_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_map__pair_Ocomp,axiom,
% 149.08/148.71 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_b,T_a,T_d,T_c,T_f,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_f),tc_prod(T_c,T_d),tc_prod(T_a,T_b),c_Product__Type_Omap__pair(T_e,T_c,T_f,T_d,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_a,T_e,T_b,T_f,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,hAPP(c_Fun_Ocomp(T_e,T_c,T_a,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_g_2),V_i_2)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum__reindex,axiom,
% 149.08/148.71 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__add(T_c)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod__reindex,axiom,
% 149.08/148.71 ! [V_h_2,V_B_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_B_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_B_2) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod__reindex__cong,axiom,
% 149.08/148.71 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_c)
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.71 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 149.08/148.71 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_split__paired__Eps,axiom,
% 149.08/148.71 ! [V_P_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),V_P_2) = c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b)))) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_Eps__split__eq,axiom,
% 149.08/148.71 ! [V_y_2,V_x_2,T_b,T_a] : c_Hilbert__Choice_OEps(tc_prod(T_a,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setsum_Oreindex,axiom,
% 149.08/148.71 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_setprod_Oreindex,axiom,
% 149.08/148.71 ! [V_g_2,V_h_2,V_A_2,T_a,T_b] :
% 149.08/148.71 ( class_Groups_Ocomm__monoid__mult(T_b)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_a,V_h_2,V_A_2)
% 149.08/148.71 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_g_2),hAPP(c_Set_Oimage(T_a,T_a,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,T_b,T_a,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_the__inv__into__comp,axiom,
% 149.08/148.71 ! [V_x_2,V_A_2,V_g_2,T_c,V_f_2,T_b,T_a] :
% 149.08/148.71 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_c,T_a,V_g_2,V_A_2)
% 149.08/148.71 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2))))
% 149.08/148.71 => hAPP(c_Fun_Othe__inv__into(T_c,T_b,V_A_2,hAPP(c_Fun_Ocomp(T_a,T_b,T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_a,T_c,T_b,c_Fun_Othe__inv__into(T_c,T_a,V_A_2,V_g_2)),c_Fun_Othe__inv__into(T_a,T_b,hAPP(c_Set_Oimage(T_c,T_a,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fold__image__reindex,axiom,
% 149.08/148.71 ! [V_z_2,V_g_2,V_h_2,T_b,V_A_2,T_a,T_c] :
% 149.08/148.71 ( class_Groups_Oab__semigroup__mult(T_c)
% 149.08/148.71 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.71 => ( c_Fun_Oinj__on(T_a,T_b,V_h_2,V_A_2)
% 149.08/148.71 => 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(c_Set_Oimage(T_a,T_b,V_h_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_a,c_Groups_Otimes__class_Otimes(T_c)),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_g_2),V_h_2)),V_z_2),V_A_2) ) ) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_LeastM__def,axiom,
% 149.08/148.71 ! [V_P_2,V_m_2,T_a,T_b] :
% 149.08/148.71 ( class_Orderings_Oord(T_b)
% 149.08/148.71 => c_Hilbert__Choice_OLeastM(T_a,T_b,V_m_2,V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_a,T_b),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_GreatestM__def,axiom,
% 149.08/148.71 ! [V_P_2,V_m_2,T_a,T_b] :
% 149.08/148.71 ( class_Orderings_Oord(T_b)
% 149.08/148.71 => hAPP(c_Hilbert__Choice_OGreatestM(T_a,T_b,V_m_2),V_P_2) = c_Hilbert__Choice_OEps(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_P_2)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OAll(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fimplies),V_P_2))),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBC(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_m_2))),V_m_2))))) ) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_UN__o,axiom,
% 149.08/148.71 ! [V_f_2,V_g_2,T_c,V_A_2,T_a,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_c,tc_fun(T_a,tc_HOL_Obool),T_b,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),V_g_2) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_fst__comp__map__pair,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_b,T_a,T_d,T_c] : hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,tc_prod(T_a,T_b),c_Product__Type_Ofst(T_c,T_d)),c_Product__Type_Omap__pair(T_a,T_c,T_b,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_a,T_c,tc_prod(T_a,T_b),V_f_2),c_Product__Type_Ofst(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_snd__comp__map__pair,axiom,
% 149.08/148.71 ! [V_g_2,V_f_2,T_b,T_a,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_c),T_c,tc_prod(T_a,T_b),c_Product__Type_Osnd(T_d,T_c)),c_Product__Type_Omap__pair(T_a,T_d,T_b,T_c,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_c,tc_prod(T_a,T_b),V_g_2),c_Product__Type_Osnd(T_a,T_b)) ).
% 149.08/148.71
% 149.08/148.71 fof(fact_LeastM__nat__lemma,axiom,
% 149.08/148.71 ! [V_m_2,T_a,V_k_2,V_P_2] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,V_k_2))
% 149.08/148.71 => ( hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2)))
% 149.08/148.71 & ! [B_y] :
% 149.08/148.71 ( hBOOL(hAPP(V_P_2,B_y))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,B_y))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_LeastM__nat__le,axiom,
% 149.08/148.72 ! [T_a,V_m_2,V_x_2,V_P_2] :
% 149.08/148.72 ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))),hAPP(V_m_2,V_x_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_option__map__o__empty,axiom,
% 149.08/148.72 ! [V_x_2,V_f_2,T_c,T_a,T_b] : hAPP(hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_b),tc_Option_Ooption(T_a),T_c,hAPP(c_Option_Omap(T_b,T_a),V_f_2)),hAPP(c_COMBK(tc_Option_Ooption(T_b),T_c),c_Option_Ooption_ONone(T_b))),V_x_2) = c_Option_Ooption_ONone(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_split__comp,axiom,
% 149.08/148.72 ! [V_x_2,V_g_2,V_f_2,T_d,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_a),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_c,T_a),T_b,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_x_2))),hAPP(c_Product__Type_Osnd(T_b,T_c),V_x_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_option__map__o__map__upd,axiom,
% 149.08/148.72 ! [V_b_2,V_a_2,V_m_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_c)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_c),V_b_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),V_m_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_b_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Loop__sound__lemma,axiom,
% 149.08/148.72 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] :
% 149.08/148.72 ( c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 149.08/148.72 => c_Hoare__Mirabelle_Ohoare__valids(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,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_a),tc_HOL_Obool)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_hoare__derivs_OIf,axiom,
% 149.08/148.72 ! [V_d_2,V_Q_2,V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] :
% 149.08/148.72 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 149.08/148.72 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,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_a),tc_HOL_Obool))))
% 149.08/148.72 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool)))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_LeastM__natI,axiom,
% 149.08/148.72 ! [V_m_2,T_a,V_k_2,V_P_2] :
% 149.08/148.72 ( hBOOL(hAPP(V_P_2,V_k_2))
% 149.08/148.72 => hBOOL(hAPP(V_P_2,c_Hilbert__Choice_OLeastM(T_a,tc_Nat_Onat,V_m_2,V_P_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_peek__and__def,axiom,
% 149.08/148.72 ! [V_s_2,V_Z_2,V_p_2,V_P_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_p_2),V_Z_2),V_s_2))
% 149.08/148.72 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_Z_2),V_s_2))
% 149.08/148.72 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Loop,axiom,
% 149.08/148.72 ! [V_ca_2,V_b_2,V_P_2,V_Ga_2,T_a] :
% 149.08/148.72 ( c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),c_Hoare__Mirabelle_Opeek__and(T_a,V_P_2,V_b_2)),V_ca_2),V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_HOL_Obool))))
% 149.08/148.72 => c_Hoare__Mirabelle_Ohoare__derivs(T_a,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_a),V_P_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_a,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_a),tc_HOL_Obool)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Oremove,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.72 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Greatest__def,axiom,
% 149.08/148.72 ! [T_a] :
% 149.08/148.72 ( class_Orderings_Oord(T_a)
% 149.08/148.72 => c_Hilbert__Choice_OGreatest(T_a) = c_Hilbert__Choice_OGreatestM(T_a,T_a,c_COMBI(T_a)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 149.08/148.72 ! [V_h_2,V_g_2,T_f,V_f_2,T_c,T_d,T_e,V_F_2,V_fa_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_fa_2,V_F_2)
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_e,T_d,T_c,V_f_2),hAPP(c_Fun_Ocomp(T_f,T_e,T_c,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_f,T_d,T_c,hAPP(c_Fun_Ocomp(T_e,T_d,T_f,V_f_2),V_g_2)),V_h_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__comp,axiom,
% 149.08/148.72 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__left__comp,axiom,
% 149.08/148.72 ! [V_g_2,V_x_2,V_y_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 149.08/148.72 ! [V_g_2,T_c,V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 149.08/148.72 ! [V_g_2,V_x_2,T_c,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ocommute__comp_H,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Oempty,axiom,
% 149.08/148.72 ! [V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_Fun_Oid(T_b) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Oeq__fold,axiom,
% 149.08/148.72 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_s_2),V_A_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Oinsert,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ounion__inter,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Oinsert__remove,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding_Ounion,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 149.08/148.72 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.72 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__image_Oreindex,axiom,
% 149.08/148.72 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 149.08/148.72 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 149.08/148.72 => hAPP(hAPP(V_F_2,V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(V_F_2,hAPP(c_Fun_Ocomp(T_b,T_a,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_setsum__reindex__nonzero,axiom,
% 149.08/148.72 ! [T_b,V_h_2,V_f_2,V_S_2,T_a,T_c] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_S_2))
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_S_2))
% 149.08/148.72 => ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),V_S_2))
% 149.08/148.72 => ( B_x != B_y
% 149.08/148.72 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 149.08/148.72 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) )
% 149.08/148.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__image_Odistrib,axiom,
% 149.08/148.72 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 149.08/148.72 => hAPP(hAPP(V_F_2,hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__image_Oeq__fold,axiom,
% 149.08/148.72 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__image(T_a,T_b,V_f_2,V_z_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 149.08/148.72 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_a,T_b,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Ounion__idem,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_B_2))
% 149.08/148.72 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_B_2),V_A_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 149.08/148.72 ! [V_g_2,V_x_2,T_c,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_c,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Oidem__comp,axiom,
% 149.08/148.72 ! [V_x_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.72 => hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_folding__idem_Oinsert__idem,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Finite__Set_Ofolding__idem(T_a,T_b,V_f_2,V_F_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_strong__setprod__reindex__cong,axiom,
% 149.08/148.72 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__mult(T_c)
% 149.08/148.72 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.72 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.72 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_c,T_a,V_h_2),V_f_2),B_x) )
% 149.08/148.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wfI__pf,axiom,
% 149.08/148.72 ! [V_R_2,T_a] :
% 149.08/148.72 ( ! [B_A] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_a,T_a,V_R_2),B_A)))
% 149.08/148.72 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) )
% 149.08/148.72 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Sigma__mono,axiom,
% 149.08/148.72 ! [V_D_2,V_B_2,T_b,V_C_2,V_A_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_C_2))
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),V_C_2),V_D_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_not__acc__down,axiom,
% 149.08/148.72 ! [V_R_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_R_2)))
% 149.08/148.72 => ~ ! [B_z] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_x_2)),V_R_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),B_z),c_Wellfounded_Oacc(T_a,V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acc_OaccI,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,T_a] :
% 149.08/148.72 ( ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_x_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),B_y),c_Wellfounded_Oacc(T_a,V_r_2))) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_max__ext_Osimps,axiom,
% 149.08/148.72 ! [V_R_2,V_a2_2,V_a1_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_a,V_R_2)))
% 149.08/148.72 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a1_2))
% 149.08/148.72 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_a2_2))
% 149.08/148.72 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.72 & ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_a1_2))
% 149.08/148.72 => ? [B_xa] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_a2_2))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__no__infinite__down__chainE,axiom,
% 149.08/148.72 ! [V_f_2,V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.72 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osize_I3_J,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_WTs__elim__cases_I3_J,axiom,
% 149.08/148.72 ! [V_ca_2,V_a_2,V_Y_2] :
% 149.08/148.72 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2)))
% 149.08/148.72 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_WT_Oequations_I3_J,axiom,
% 149.08/148.72 ! [V_a1_2,V_a3_2,V_a2_2] :
% 149.08/148.72 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)))
% 149.08/148.72 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_WT_OLocal,axiom,
% 149.08/148.72 ! [V_a_2,V_Y_2,V_ca_2] :
% 149.08/148.72 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 149.08/148.72 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Y_2,V_a_2,V_ca_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I41_J,axiom,
% 149.08/148.72 ! [V_com_2,V_fun_2,V_loc_2,V_pname_H_2] : hAPP(c_Com_Ocom_OBODY,V_pname_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I40_J,axiom,
% 149.08/148.72 ! [V_pname_H_2,V_com_2,V_fun_2,V_loc_2] : c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) != hAPP(c_Com_Ocom_OBODY,V_pname_H_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I39_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I38_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 149.08/148.72 ( 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)
% 149.08/148.72 <=> ( V_loc_2 = V_loc_H_2
% 149.08/148.72 & V_fun_2 = V_fun_H_2
% 149.08/148.72 & V_com_2 = V_com_H_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I10_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I11_J,axiom,
% 149.08/148.72 ! [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 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I35_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I34_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I43_J,axiom,
% 149.08/148.72 ! [V_com_2,V_fun_2,V_loc_2,V_fun_H_2,V_pname_H_2,V_vname_H_2] : c_Com_Ocom_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) != c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I42_J,axiom,
% 149.08/148.72 ! [V_fun_H_2,V_pname_H_2,V_vname_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_OCall(V_vname_H_2,V_pname_H_2,V_fun_H_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I37_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osimps_I36_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_com_Osize_I11_J,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_setsum__reindex__cong,axiom,
% 149.08/148.72 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_b,T_a,T_c] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_c)
% 149.08/148.72 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,V_A_2)
% 149.08/148.72 => ( V_B_2 = hAPP(c_Set_Oimage(T_a,T_b,V_f_2),V_A_2)
% 149.08/148.72 => ( ! [B_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 149.08/148.72 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 149.08/148.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_c),V_g_2),V_A_2) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_scomp__unfold,axiom,
% 149.08/148.72 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),hAPP(V_f_2,V_x_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_scomp__scomp,axiom,
% 149.08/148.72 ! [V_h_2,V_g_2,V_f_2,T_f,T_e,T_b,T_d,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_d,T_b),hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,tc_prod(T_c,T_d)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_e,T_f,T_b),V_f_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_c,tc_fun(T_d,T_b)),tc_fun(T_f,T_b)),T_e),c_Product__Type_Oscomp(T_f,T_c,T_d,T_b)),V_g_2)),V_h_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Pair__scomp,axiom,
% 149.08/148.72 ! [V_f_2,V_x_2,T_b,T_c,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_c,T_a,T_b),hAPP(c_Product__Type_OPair(T_c,T_a),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_scomp__Pair,axiom,
% 149.08/148.72 ! [V_x_2,T_c,T_b,T_a] : hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_c,tc_prod(T_b,T_c)),V_x_2),c_Product__Type_OPair(T_b,T_c)) = V_x_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_scomp__apply,axiom,
% 149.08/148.72 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_scomp__def,axiom,
% 149.08/148.72 ! [V_x_2,V_g_2,V_f_2,T_a,T_d,T_c,T_b] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,T_a),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_a),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_iterate_Osimps,axiom,
% 149.08/148.72 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 149.08/148.72 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.72 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2) )
% 149.08/148.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.72 => hAPP(c_Random_Oiterate(T_b,T_a,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_a,T_b,T_a,tc_prod(T_b,T_a)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_b,T_a,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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_setsum__ivl__cong,axiom,
% 149.08/148.72 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_a_2,T_a,T_b] :
% 149.08/148.72 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.72 & class_Orderings_Oord(T_a) )
% 149.08/148.72 => ( V_a_2 = V_ca_2
% 149.08/148.72 => ( V_b_2 = V_d_2
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_ca_2),B_x))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_x),V_d_2))
% 149.08/148.72 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 149.08/148.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_a,V_ca_2),V_d_2)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_log_Osimps,axiom,
% 149.08/148.72 ! [V_i,V_b] :
% 149.08/148.72 ( ( ( 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)))
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 149.08/148.72 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 149.08/148.72 & ( ~ ( 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)))
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 149.08/148.72 => 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))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_minus__shift__def,axiom,
% 149.08/148.72 ! [V_r,V_l,V_k] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 149.08/148.72 => 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) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 149.08/148.72 => 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) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inc__shift__def,axiom,
% 149.08/148.72 ! [V_k,V_v] :
% 149.08/148.72 ( ( V_v = V_k
% 149.08/148.72 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 149.08/148.72 & ( V_v != V_k
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_range,axiom,
% 149.08/148.72 ! [V_s,V_k] :
% 149.08/148.72 ( 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))
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__eq,axiom,
% 149.08/148.72 ! [V_n_2,V_m_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__intermed__int__val,axiom,
% 149.08/148.72 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 149.08/148.72 ( ! [B_i] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 149.08/148.72 => 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))) )
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 149.08/148.72 => ? [B_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 149.08/148.72 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__trancl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.72 => c_Wellfounded_Owf(T_a,c_Transitive__Closure_Otrancl(T_a,V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__than__def,axiom,
% 149.08/148.72 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acyclic__def,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 149.08/148.72 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl_Or__into__trancl,axiom,
% 149.08/148.72 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__subset__Field2,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),hAPP(c_Relation_OField(T_a),V_r_2)),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_Relation_OField(T_a),V_r_2))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_r__into__trancl_H,axiom,
% 149.08/148.72 ! [V_r_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__empty,axiom,
% 149.08/148.72 ! [T_a] : c_Transitive__Closure_Otrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__domain,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__range,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) = hAPP(c_Relation_ORange(T_a,T_a),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__trancl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__trans,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__into__trancl2,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_r__r__into__trancl,axiom,
% 149.08/148.72 ! [V_ca_2,V_R_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_R_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_R_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__mono,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_s_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__unfold,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__subset__Sigma,axiom,
% 149.08/148.72 ! [V_A_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__Int__subset,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__insert,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,V_y_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(hAPP(c_COMBC(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),V_y_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a))),hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_reflcl__set__eq,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_a,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_r__into__rtrancl,axiom,
% 149.08/148.72 ! [V_r_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 149.08/148.72 ! [V_r_2,V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_IdI,axiom,
% 149.08/148.72 ! [V_a_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_a_2)),c_Relation_OId(T_a))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__into__rtrancl,axiom,
% 149.08/148.72 ! [V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__rtrancl__absorb,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Otrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__trancl__absorb,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : c_Transitive__Closure_Otrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_reflcl__trancl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_a,V_r_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__reflcl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__unfold__right,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__unfold__left,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__Un__subset,axiom,
% 149.08/148.72 ! [V_S_2,V_R_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__mono,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__subset,axiom,
% 149.08/148.72 ! [V_S_2,V_R_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 => c_Transitive__Closure_Ortrancl(T_a,V_S_2) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__subset__rtrancl,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_s_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_s_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Image__closed__trancl,axiom,
% 149.08/148.72 ! [V_X_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_a,T_a,V_r_2),V_X_2)),V_X_2))
% 149.08/148.72 => hAPP(c_Relation_OImage(T_a,T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_X_2) = V_X_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__Int__subset,axiom,
% 149.08/148.72 ! [V_r_2,V_s_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),V_s_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_s_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Domain__rtrancl,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__r__diff__Id,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__unfold,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Relation_OId(T_a)),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_r__comp__rtrancl__eq,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_r_2),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__idemp__self__comp,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__rtrancl__UnI,axiom,
% 149.08/148.72 ! [V_S_2,V_R_2,V_x_2,T_a] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_x_2),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__reflcl,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_a))) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__Un__rtrancl,axiom,
% 149.08/148.72 ! [V_S_2,V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Transitive__Closure_Ortrancl(T_a,V_S_2))) = c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__reflcl__absorb,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)),c_Relation_OId(T_a)) = c_Transitive__Closure_Ortrancl(T_a,V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__idemp,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(T_a,V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__trans,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__empty,axiom,
% 149.08/148.72 ! [T_a] : c_Transitive__Closure_Ortrancl(T_a,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))) = c_Relation_OId(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Range__rtrancl,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_refl__rtrancl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Image__Id,axiom,
% 149.08/148.72 ! [V_A_2,T_a] : hAPP(c_Relation_OImage(T_a,T_a,c_Relation_OId(T_a)),V_A_2) = V_A_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Id__O__R,axiom,
% 149.08/148.72 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_b),c_Relation_OId(T_a)),V_R_2) = V_R_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_R__O__Id,axiom,
% 149.08/148.72 ! [V_R_2,T_b,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_b),V_R_2),c_Relation_OId(T_b)) = V_R_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pair__in__Id__conv,axiom,
% 149.08/148.72 ! [V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Relation_OId(T_a)))
% 149.08/148.72 <=> V_a_2 = V_b_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__trancl__trancl,axiom,
% 149.08/148.72 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__rtrancl__trancl,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__into__trancl1,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtranclD,axiom,
% 149.08/148.72 ! [V_R_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 => ( V_a_2 = V_b_2
% 149.08/148.72 | ( V_a_2 != V_b_2
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__into__trancl2,axiom,
% 149.08/148.72 ! [V_ca_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__eq__or__trancl,axiom,
% 149.08/148.72 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 <=> ( V_x_2 = V_y_2
% 149.08/148.72 | ( V_x_2 != V_y_2
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Domain__Id,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_Relation_ODomain(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Range__Id,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_Relation_ORange(T_a,T_a),c_Relation_OId(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_refl__Id,axiom,
% 149.08/148.72 ! [T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),c_Relation_OId(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pair__leq__def,axiom,
% 149.08/148.72 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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Not__Domain__rtrancl,axiom,
% 149.08/148.72 ! [V_y_2,V_R_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_Relation_ODomain(T_a,T_a),V_R_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 <=> V_x_2 = V_y_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acc__downwards__aux,axiom,
% 149.08/148.72 ! [V_r_2,V_a_2,V_b_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acc__downwards,axiom,
% 149.08/148.72 ! [V_b_2,V_r_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_b_2),c_Wellfounded_Oacc(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__insert,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 149.08/148.72 <=> ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.72 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acyclic__insert,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Oacyclic(T_a,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),V_r_2))
% 149.08/148.72 <=> ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 149.08/148.72 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_refl__reflcl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Id__def,axiom,
% 149.08/148.72 ! [T_a] : c_Relation_OId(T_a) = hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBC(tc_prod(T_a,T_a),tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_HOL_Obool)),tc_prod(T_a,T_a)),c_COMBB(tc_prod(T_a,T_a),tc_HOL_Obool,T_a)),c_fequal)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_irrefl__diff__Id,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Relation_Oirrefl(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pred__nat__trancl__eq__le,axiom,
% 149.08/148.72 ! [V_n_2,V_m_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__subset__Sigma__aux,axiom,
% 149.08/148.72 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.72 => ( V_a_2 = V_b_2
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),V_A_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_irrefl__tranclI,axiom,
% 149.08/148.72 ! [V_x_2,V_r_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sequence__trans,axiom,
% 149.08/148.72 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_a] :
% 149.08/148.72 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),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_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Ortrancl(T_a,V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__Id,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId(T_a)) = c_Relation_OId(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acyclic__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 149.08/148.72 <=> c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__UNION,axiom,
% 149.08/148.72 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__rel__comp,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_a),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_a),V_s_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__Un,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converseD,axiom,
% 149.08/148.72 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converseI,axiom,
% 149.08/148.72 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__iff,axiom,
% 149.08/148.72 ! [V_r_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_b_2),V_a_2)),V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__Id__on,axiom,
% 149.08/148.72 ! [V_A_2,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),c_Relation_OId__on(T_a,V_A_2)) = c_Relation_OId__on(T_a,V_A_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_b)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 149.08/148.72 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_a)),V_r_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__Int,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Relation_Oconverse(T_b,T_a),V_s_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = V_r_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__inv__image,axiom,
% 149.08/148.72 ! [V_f_2,V_R_2,T_b,T_a] : hAPP(c_Relation_Oconverse(T_a,T_a),hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_b,T_a),hAPP(c_Relation_Oconverse(T_b,T_b),V_R_2)),V_f_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Field__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(c_Relation_OField(T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_OField(T_a),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_refl__on__converse,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Relation_Orefl__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 149.08/148.72 <=> c_Relation_Orefl__on(T_a,V_A_2,V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__INTER,axiom,
% 149.08/148.72 ! [V_r_2,V_S_2,T_c,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),T_c),c_Relation_Oconverse(T_b,T_a)),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__converse__trancl,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 149.08/148.72 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_equiv__comp__eq,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.72 => hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Range__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2)) = hAPP(c_Relation_ODomain(T_a,T_b),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Domain__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_b,T_a] : hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) = hAPP(c_Relation_ORange(T_b,T_a),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Range__def,axiom,
% 149.08/148.72 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_ORange(T_b,T_a),V_r_2) = hAPP(c_Relation_ODomain(T_a,T_b),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__converseI,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,V_y_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__converseD,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__converseI,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__converseD,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_a),c_Transitive__Closure_Otrancl(T_a,V_r_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Image__subset__eq,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_r_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_r_2),V_A_2)),V_B_2))
% 149.08/148.72 <=> 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)),hAPP(c_Relation_OImage(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_a,tc_HOL_Obool)),V_B_2))))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_refl__on__comp__subset,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_comp__equivI,axiom,
% 149.08/148.72 ! [V_A_2,V_r_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)),V_r_2) = V_r_2
% 149.08/148.72 => ( hAPP(c_Relation_ODomain(T_a,T_a),V_r_2) = V_A_2
% 149.08/148.72 => c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__acyclic__wf__converse,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_a,T_a)),V_r_2))
% 149.08/148.72 => ( c_Wellfounded_Oacyclic(T_a,V_r_2)
% 149.08/148.72 => c_Wellfounded_Owf(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converse__def,axiom,
% 149.08/148.72 ! [V_r_2,T_a,T_b] : hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_b,T_a),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_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_a)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_b,T_a),tc_fun(tc_fun(tc_prod(T_b,T_a),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_a)))),hAPP(c_COMBC(T_b,T_a,tc_prod(T_b,T_a)),c_Product__Type_OPair(T_b,T_a))))),V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Image__INT__eq,axiom,
% 149.08/148.72 ! [V_B_2,T_c,V_A_2,V_r_2,T_b,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2))
% 149.08/148.72 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 149.08/148.72 => hAPP(c_Relation_OImage(T_b,T_a,V_r_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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_c),c_Relation_OImage(T_b,T_a,V_r_2)),V_B_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_total__on__diff__Id,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_a)))
% 149.08/148.72 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__Id,axiom,
% 149.08/148.72 ! [T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__rel__comp,axiom,
% 149.08/148.72 ! [V_s_2,T_c,V_r_2,T_b,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 149.08/148.72 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 149.08/148.72 => c_Relation_Osingle__valued(T_a,T_c,hAPP(hAPP(c_Relation_Orel__comp(T_a,T_b,T_c),V_r_2),V_s_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__Id__on,axiom,
% 149.08/148.72 ! [V_A_2,T_a] : c_Relation_Osingle__valued(T_a,T_a,c_Relation_OId__on(T_a,V_A_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__subset,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.72 => ( c_Relation_Osingle__valued(T_a,T_b,V_s_2)
% 149.08/148.72 => c_Relation_Osingle__valued(T_a,T_b,V_r_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_total__on__empty,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_Relation_Ototal__on(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)),V_r_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_total__on__converse,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Relation_Ototal__on(T_a,V_A_2,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))
% 149.08/148.72 <=> c_Relation_Ototal__on(T_a,V_A_2,V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__def,axiom,
% 149.08/148.72 ! [V_r_2,T_b,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 149.08/148.72 <=> ! [B_x,B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_y)),V_r_2))
% 149.08/148.72 => ! [B_z] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)),V_r_2))
% 149.08/148.72 => B_y = B_z ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valuedD,axiom,
% 149.08/148.72 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_b,V_r_2)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),V_r_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_z_2)),V_r_2))
% 149.08/148.72 => V_y_2 = V_z_2 ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_total__on__def,axiom,
% 149.08/148.72 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.72 ( c_Relation_Ototal__on(T_a,V_A_2,V_r_2)
% 149.08/148.72 <=> ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.72 => ! [B_xa] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),V_A_2))
% 149.08/148.72 => ( B_x != B_xa
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_xa)),V_r_2))
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__confluent,axiom,
% 149.08/148.72 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_a,V_r_2)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2))) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Image__Int__eq,axiom,
% 149.08/148.72 ! [V_B_2,V_A_2,V_R_2,T_b,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_b,hAPP(c_Relation_Oconverse(T_b,T_a),V_R_2))
% 149.08/148.72 => hAPP(c_Relation_OImage(T_b,T_a,V_R_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_a,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_b,T_a,V_R_2),V_B_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 149.08/148.72 ! [V_R_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_acyclicI,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),c_Transitive__Closure_Otrancl(T_a,V_r_2)))
% 149.08/148.72 => c_Wellfounded_Oacyclic(T_a,V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_single__valued__rel__pow,axiom,
% 149.08/148.72 ! [V_n_2,V_R_2,T_a] :
% 149.08/148.72 ( c_Relation_Osingle__valued(T_a,T_a,V_R_2)
% 149.08/148.72 => c_Relation_Osingle__valued(T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_relpow_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_comp__funpow,axiom,
% 149.08/148.72 ! [V_f_2,V_n_2,T_b,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_a,T_b),tc_fun(T_a,T_b)),V_n_2),c_Fun_Ocomp(T_b,T_b,T_a,V_f_2)) = c_Fun_Ocomp(T_b,T_b,T_a,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow__swap1,axiom,
% 149.08/148.72 ! [V_x_2,V_n_2,T_a,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow__mult,axiom,
% 149.08/148.72 ! [V_f_2,V_m_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__exp,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))
% 149.08/148.72 => c_Wellfounded_Owf(T_a,V_R_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__1,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__commute,axiom,
% 149.08/148.72 ! [V_n_2,V_R_2,T_a] : hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__add,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),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_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_relpow_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_a,T_a,T_a),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__imp__rtrancl,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__power,axiom,
% 149.08/148.72 ! [V_R_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__0__I,axiom,
% 149.08/148.72 ! [V_R_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__0__E,axiom,
% 149.08/148.72 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 149.08/148.72 => V_x_2 = V_y_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__Suc__I2,axiom,
% 149.08/148.72 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_R_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__Suc__I,axiom,
% 149.08/148.72 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),V_z_2)),V_R_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_f_2,V_n_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow__add,axiom,
% 149.08/148.72 ! [V_f_2,V_n_2,V_m_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_a,T_a,T_a,hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),V_n_2),V_f_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_f_2,T_a] : hAPP(hAPP(c_Nat_Ocompow(T_a,T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_trancl__power,axiom,
% 149.08/148.72 ! [V_R_2,V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 149.08/148.72 <=> ? [B_n] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 149.08/148.72 ! [V_R_2,T_a] : c_Transitive__Closure_Ortrancl(T_a,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_a,T_a),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_a,T_a),tc_HOL_Obool),tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool)),V_R_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_funpow__code__def,axiom,
% 149.08/148.72 ! [T_a] : c_Nat_Ofunpow(T_a) = c_Nat_Ocompow(T_a,T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__E2,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => V_x_2 != V_z_2 )
% 149.08/148.72 => ~ ! [B_y,B_m] :
% 149.08/148.72 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__E,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => V_x_2 != V_z_2 )
% 149.08/148.72 => ~ ! [B_y,B_m] :
% 149.08/148.72 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),B_m),V_R_2)))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__Un__separatorE,axiom,
% 149.08/148.72 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 149.08/148.72 => ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_Q_2))
% 149.08/148.72 => B_x = B_y ) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 149.08/148.72 ! [V_Q_2,V_P_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_P_2),V_Q_2))))
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2)))
% 149.08/148.72 => ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_Q_2))
% 149.08/148.72 => B_y = B_x ) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_a,V_P_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__Suc__D2,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 149.08/148.72 => ? [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__Suc__E,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 149.08/148.72 => ~ ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2)))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),V_R_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__pow__Suc__E2,axiom,
% 149.08/148.72 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 149.08/148.72 => ~ ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_y)),V_R_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_a,T_a),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_tranclD2,axiom,
% 149.08/148.72 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 149.08/148.72 => ? [B_z] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_a,V_R_2)))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),V_R_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_tranclD,axiom,
% 149.08/148.72 ! [V_R_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_a,V_R_2)))
% 149.08/148.72 => ? [B_z] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),B_z)),V_R_2))
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_R_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_IdE,axiom,
% 149.08/148.72 ! [V_p_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),V_p_2),c_Relation_OId(T_a)))
% 149.08/148.72 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_mod__div__decomp,axiom,
% 149.08/148.72 ! [V_b,V_a,T_a] :
% 149.08/148.72 ( class_Divides_Osemiring__div(T_a)
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_wf__eq__minimal,axiom,
% 149.08/148.72 ! [V_r_2,T_a] :
% 149.08/148.72 ( c_Wellfounded_Owf(T_a,V_r_2)
% 149.08/148.72 <=> ! [B_Q] :
% 149.08/148.72 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 149.08/148.72 => ? [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_Q))
% 149.08/148.72 & ! [B_y] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_y),B_x)),V_r_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),B_y),B_Q)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_transfer__nat__int__set__cong,axiom,
% 149.08/148.72 ! [V_P_H_2,V_P_2] :
% 149.08/148.72 ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 149.08/148.72 => ( hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.72 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Int__Collect__mono,axiom,
% 149.08/148.72 ! [V_Q_2,V_P_2,V_B_2,V_A_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.72 => ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.72 => hBOOL(hAPP(V_Q_2,B_x)) ) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_a),V_P_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_B_2),hAPP(c_Set_OCollect(T_a),V_Q_2)))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_UnionE,axiom,
% 149.08/148.72 ! [V_C_2,V_A_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),V_C_2)))
% 149.08/148.72 => ~ ! [B_X] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_A_2),B_X))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_a,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__upd__left,axiom,
% 149.08/148.72 ! [V_u1_2,V_e1_2,V_e2_2,T_b,V_m_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_e2_2)))
% 149.08/148.72 => c_Map_Omap__add(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_e1_2),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)),V_e2_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_e1_2,V_e2_2)),V_m_2),hAPP(c_Option_Ooption_OSome(T_b),V_u1_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_converseE,axiom,
% 149.08/148.72 ! [V_r_2,V_yx_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_yx_2),hAPP(c_Relation_Oconverse(T_b,T_a),V_r_2)))
% 149.08/148.72 => ~ ! [B_x,B_y] :
% 149.08/148.72 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_y),B_x)
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),B_x),B_y)),V_r_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__empty,axiom,
% 149.08/148.72 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b))) = V_m_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_empty__map__add,axiom,
% 149.08/148.72 ! [V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,hAPP(c_COMBK(tc_Option_Ooption(T_b),T_a),c_Option_Ooption_ONone(T_b)),V_m_2) = V_m_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__find__right,axiom,
% 149.08/148.72 ! [V_m_2,T_b,V_xx_2,T_a,V_k_2,V_n_2] :
% 149.08/148.72 ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2)
% 149.08/148.72 => hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_xx_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__assoc,axiom,
% 149.08/148.72 ! [V_m3_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__add(T_a,T_b,V_m2_2,V_m3_2)) = c_Map_Omap__add(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_m3_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__None,axiom,
% 149.08/148.72 ! [V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = c_Option_Ooption_ONone(T_a)
% 149.08/148.72 <=> ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 149.08/148.72 & hAPP(V_m_2,V_k_2) = c_Option_Ooption_ONone(T_a) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__dom__app__simps_I2_J,axiom,
% 149.08/148.72 ! [V_l2_2,V_l1_2,T_b,V_m_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l1_2)))
% 149.08/148.72 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__dom__app__simps_I3_J,axiom,
% 149.08/148.72 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 149.08/148.72 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l1_2,V_m_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__dom__app__simps_I1_J,axiom,
% 149.08/148.72 ! [V_l1_2,V_l2_2,T_b,V_m_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_m_2),c_Map_Odom(T_a,T_b,V_l2_2)))
% 149.08/148.72 => hAPP(c_Map_Omap__add(T_a,T_b,V_l1_2,V_l2_2),V_m_2) = hAPP(V_l2_2,V_m_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__SomeD,axiom,
% 149.08/148.72 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 149.08/148.72 => ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 149.08/148.72 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 149.08/148.72 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__Some__iff,axiom,
% 149.08/148.72 ! [V_x_2,V_k_2,V_n_2,V_m_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(c_Map_Omap__add(T_b,T_a,V_m_2,V_n_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 149.08/148.72 <=> ( hAPP(V_n_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2)
% 149.08/148.72 | ( hAPP(V_n_2,V_k_2) = c_Option_Ooption_ONone(T_a)
% 149.08/148.72 & hAPP(V_m_2,V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_x_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_dom__map__add,axiom,
% 149.08/148.72 ! [V_n_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m_2,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_n_2)),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__upd,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_f_2,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_g_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2))) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__add(T_a,T_b,V_f_2,V_g_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__on__map__add__dom,axiom,
% 149.08/148.72 ! [V_m_H_2,V_m_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),c_Map_Omap__add(T_a,T_b,V_m_2,V_m_H_2),c_Map_Odom(T_a,T_b,V_m_H_2))
% 149.08/148.72 <=> c_Fun_Oinj__on(T_a,tc_Option_Ooption(T_b),V_m_H_2,c_Map_Odom(T_a,T_b,V_m_H_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__def,axiom,
% 149.08/148.72 ! [V_x_2,V_m2_2,V_m1_2,T_a,T_b] : hAPP(c_Map_Omap__add(T_b,T_a,V_m1_2,V_m2_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Option_Ooption(T_a),T_a,hAPP(V_m1_2,V_x_2),c_Option_Ooption_OSome(T_a)),hAPP(V_m2_2,V_x_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__comm,axiom,
% 149.08/148.72 ! [V_m2_2,V_m1_2,T_b,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),c_Map_Odom(T_a,T_b,V_m1_2)),c_Map_Odom(T_a,T_b,V_m2_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.72 => c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2) = c_Map_Omap__add(T_a,T_b,V_m2_2,V_m1_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__range__map__of__map__add,axiom,
% 149.08/148.72 ! [V_l_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 149.08/148.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),c_Map_Omap__add(T_b,T_a,V_f_2,hAPP(c_Map_Omap__of(T_b,T_a),V_l_2))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_rel__compE,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_c,V_xz_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_a,T_c,T_b),V_r_2),V_s_2)))
% 149.08/148.72 => ~ ! [B_x,B_y,B_z] :
% 149.08/148.72 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),B_x),B_z)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_c),B_x),B_y)),V_r_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),B_z)),V_s_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__dom__map__of,axiom,
% 149.08/148.72 ! [V_l_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_l_2)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__range__map__of,axiom,
% 149.08/148.72 ! [V_xys_2,T_b,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_a)),hAPP(c_Set_Oimage(T_b,tc_Option_Ooption(T_a),hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__map__of__foldr,axiom,
% 149.08/148.72 ! [V_ps_2,V_m_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)) = c_List_Ofoldr(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b))),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_Option_Ooption(T_b),tc_fun(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)))))),c_Option_Ooption_OSome(T_b))),V_ps_2,V_m_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_body__def,axiom,
% 149.08/148.72 c_Com_Obody = hAPP(c_Map_Omap__of(tc_Com_Opname,tc_Com_Ocom),c_Com_Obodies) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__mapk__SomeI,axiom,
% 149.08/148.72 ! [V_x_2,V_k_2,V_t_2,T_c,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.72 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_c),V_t_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2)
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,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_a),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_t_2)),hAPP(V_f_2,V_k_2)) = hAPP(c_Option_Ooption_OSome(T_c),V_x_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),V_xs_2)) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_c),tc_Option_Ooption(T_b),T_a,hAPP(c_Option_Omap(T_c,T_b),V_f_2)),hAPP(c_Map_Omap__of(T_a,T_c),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__mapI,axiom,
% 149.08/148.72 ! [V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.72 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_foldr__map,axiom,
% 149.08/148.72 ! [V_a_2,V_xs_2,V_f_2,T_c,V_g_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_g_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_c,T_a,hAPP(c_Fun_Ocomp(T_b,tc_fun(T_a,T_a),T_c,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_xs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Omap_Ocompositionality,axiom,
% 149.08/148.72 ! [V_list_2,V_g_2,T_c,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_c,T_a),hAPP(c_Fun_Ocomp(T_b,T_a,T_c,V_f_2),V_g_2)),V_list_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__comp__map,axiom,
% 149.08/148.72 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Omap_Ocomp,axiom,
% 149.08/148.72 ! [V_g_2,V_f_2,T_a,T_b,T_c] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_c),tc_List_Olist(T_b),tc_List_Olist(T_a),hAPP(c_List_Omap(T_c,T_b),V_f_2)),hAPP(c_List_Omap(T_a,T_c),V_g_2)) = hAPP(c_List_Omap(T_a,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_a,V_f_2),V_g_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__map,axiom,
% 149.08/148.72 ! [V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 149.08/148.72 <=> c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__map__eq__map,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.72 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 149.08/148.72 <=> V_xs_2 = V_ys_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__mapD,axiom,
% 149.08/148.72 ! [V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))
% 149.08/148.72 => c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__injective,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 149.08/148.72 => ( c_Fun_Oinj__on(T_b,T_a,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 149.08/148.72 => V_xs_2 = V_ys_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__ident,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)),V_xs_2) = V_xs_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Omap_Oidentity,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_COMBI(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Omap_Oid,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_List_Omap(T_a,T_a),c_Fun_Oid(T_a)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__map__restrict,axiom,
% 149.08/148.72 ! [V_ks_2,V_f_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_f_2)),V_ks_2)) = c_Map_Orestrict__map(T_a,T_b,hAPP(c_Fun_Ocomp(T_b,tc_Option_Ooption(T_b),T_a,c_Option_Ooption_OSome(T_b)),V_f_2),hAPP(c_List_Oset(T_a),V_ks_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__map__keys,axiom,
% 149.08/148.72 ! [V_m_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Map_Odom(T_a,T_b,V_m_2)
% 149.08/148.72 => hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBS(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),T_b,T_a),c_Option_Othe(T_b)),V_m_2))),V_xs_2)) = V_m_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__set,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__eq__conv,axiom,
% 149.08/148.72 ! [V_g_2,V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)
% 149.08/148.72 <=> ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 149.08/148.72 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_infinite__UNIV__listI,axiom,
% 149.08/148.72 ! [T_a] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__on__map__eq__map,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 149.08/148.72 => ( hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)
% 149.08/148.72 <=> V_xs_2 = V_ys_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__inj__on,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)
% 149.08/148.72 => ( c_Fun_Oinj__on(T_b,T_a,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)))
% 149.08/148.72 => V_xs_2 = V_ys_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__fun__upd,axiom,
% 149.08/148.72 ! [V_v_2,V_f_2,T_b,V_xs_2,V_y_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(hAPP(c_List_Omap(T_a,T_b),hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,T_b),V_f_2),V_y_2),V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_inj__on__mapI,axiom,
% 149.08/148.72 ! [V_A_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_a,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),V_A_2)))
% 149.08/148.72 => c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_b),hAPP(c_List_Omap(T_a,T_b),V_f_2),V_A_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__eq__dom,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 149.08/148.72 ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 149.08/148.72 => hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__SomeD,axiom,
% 149.08/148.72 ! [V_y_2,V_k_2,V_xs_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_k_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__is__SomeD,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2,V_xys_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_a),V_y_2)
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_dom__map__of__conv__image__fst,axiom,
% 149.08/148.72 ! [V_xys_2,T_b,T_a] : c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_a,c_Product__Type_Ofst(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__eq__None__iff,axiom,
% 149.08/148.72 ! [V_x_2,V_xys_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xys_2),V_x_2) = c_Option_Ooption_ONone(T_a)
% 149.08/148.72 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(tc_prod(T_b,T_a),T_b,c_Product__Type_Ofst(T_b,T_a)),hAPP(c_List_Oset(tc_prod(T_b,T_a)),V_xys_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_WT__bodies__def,axiom,
% 149.08/148.72 ( c_Com_OWT__bodies
% 149.08/148.72 <=> ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_ran__distinct,axiom,
% 149.08/148.72 ! [V_al_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_al_2)))
% 149.08/148.72 => c_Map_Oran(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_al_2)) = hAPP(c_Set_Oimage(tc_prod(T_a,T_b),T_b,c_Product__Type_Osnd(T_a,T_b)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_al_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__map__of__compr,axiom,
% 149.08/148.72 ! [V_xs_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 149.08/148.72 => hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_b),tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool),T_a),c_fequal),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)))),c_Option_Ooption_OSome(T_b)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 149.08/148.72 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 149.08/148.72 & c_Fun_Oinj__on(T_b,T_a,V_f_2,hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__inject__set,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)))
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2)))
% 149.08/148.72 => ( hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2)
% 149.08/148.72 <=> hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xs_2) = hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_ys_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Some__eq__map__of__iff,axiom,
% 149.08/148.72 ! [V_x_2,V_y_2,V_xys_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 149.08/148.72 => ( hAPP(c_Option_Ooption_OSome(T_b),V_y_2) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2)
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__eq__Some__iff,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 149.08/148.72 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2)
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__is__SomeI,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2,V_xys_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xys_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_xys_2)))
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xys_2),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),V_y_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_greaterThanLessThan__upto,axiom,
% 149.08/148.72 ! [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)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_weak__map__of__SomeI,axiom,
% 149.08/148.72 ! [V_l_2,V_x_2,V_k_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_k_2),V_x_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),V_l_2)))
% 149.08/148.72 => ? [B_x] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_l_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_b),B_x) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__upto,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_atLeastAtMost__upto,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__upto,axiom,
% 149.08/148.72 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_atLeastLessThan__upto,axiom,
% 149.08/148.72 ! [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)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_greaterThanAtMost__upto,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__list__def,axiom,
% 149.08/148.72 ! [V_l_2] :
% 149.08/148.72 ( c_List_Onat__list(V_l_2)
% 149.08/148.72 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__remove1__eq,axiom,
% 149.08/148.72 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__set__remove1,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_b_2,V_a_2] :
% 149.08/148.72 ( V_a_2 != V_b_2
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_b_2,V_xs_2))))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_notin__set__remove1,axiom,
% 149.08/148.72 ! [V_y_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_y_2,V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_remove1__idem,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => c_List_Oremove1(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_remove1__commute,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__remove1,axiom,
% 149.08/148.72 ! [V_x,V_xs,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__remove1__subset,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sorted__list__of__set__remove,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))) = c_List_Oremove1(T_a,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__zip__map,axiom,
% 149.08/148.72 ! [V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),hAPP(V_f_2,V_x_2)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),V_x_2) = c_Option_Ooption_ONone(T_b) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__zipI1,axiom,
% 149.08/148.72 ! [V_ys,T_b,V_xs,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__zipI2,axiom,
% 149.08/148.72 ! [V_xs,T_b,V_ys,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__same__conv__map,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_a,tc_prod(T_a,T_a)),hAPP(hAPP(c_COMBS(T_a,T_a,tc_prod(T_a,T_a)),c_Product__Type_OPair(T_a,T_a)),c_COMBI(T_a))),V_xs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__map__fst__snd,axiom,
% 149.08/148.72 ! [V_zs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2)) = V_zs_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__zip__map2,axiom,
% 149.08/148.72 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_c)),tc_fun(T_d,T_a),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_d),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__zip__map,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_g_2,T_d,V_f_2,T_a,T_c,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_a),V_f_2),hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,T_a),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_a),T_d),hAPP(c_COMBB(tc_prod(T_b,T_c),T_a,T_c),V_f_2)),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_g_2)))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__set__zipE,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 149.08/148.72 => ~ ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__zip__rightD,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_ys_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__zip__leftD,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_b,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__same,axiom,
% 149.08/148.72 ! [V_xs_2,V_b_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_xs_2))))
% 149.08/148.72 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 & V_a_2 = V_b_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__map2,axiom,
% 149.08/148.72 ! [V_ys_2,V_f_2,T_c,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_c),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_c,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_prod(T_a,T_b))),T_a),c_COMBB(T_b,tc_prod(T_a,T_b),T_c)),c_Product__Type_OPair(T_a,T_b))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_a,T_c),V_xs_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__map1,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_b),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_c,T_b),V_xs_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__map__map,axiom,
% 149.08/148.72 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_c,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),tc_prod(T_a,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,tc_prod(T_a,T_b))),T_c),c_COMBB(T_b,tc_prod(T_a,T_b),T_d)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),T_c),c_Product__Type_OPair(T_a,T_b)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sorted__list__of__set__insert,axiom,
% 149.08/148.72 ! [V_x_2,V_A_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__zip__upd,axiom,
% 149.08/148.72 ! [V_z_2,V_y_2,V_x_2,V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 149.08/148.72 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 149.08/148.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 149.08/148.72 => ( hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_y_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_b,tc_Option_Ooption(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))),V_x_2),hAPP(c_Option_Ooption_OSome(T_a),V_z_2))
% 149.08/148.72 => hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2)) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__zip,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__insort,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexn__length,axiom,
% 149.08/148.72 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))
% 149.08/148.72 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = V_n_2
% 149.08/148.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_neq__if__length__neq,axiom,
% 149.08/148.72 ! [V_ys,V_xs,T_a] :
% 149.08/148.72 ( 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)
% 149.08/148.72 => V_xs != V_ys ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__insort,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_fun__left__comm__insort,axiom,
% 149.08/148.72 ! [T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => c_Finite__Set_Ofun__left__comm(T_a,tc_List_Olist(T_a),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__left__comm,axiom,
% 149.08/148.72 ! [V_xs_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__key__left__comm,axiom,
% 149.08/148.72 ! [V_xs_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__eq__imp__length__eq,axiom,
% 149.08/148.72 ! [V_ys_2,V_g_2,T_c,V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_a),V_g_2),V_ys_2)
% 149.08/148.72 => 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) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_remove1__insort,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_card__length,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_card__distinct,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__card,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__zip__inject,axiom,
% 149.08/148.72 ! [V_zs_2,V_xs_2,T_b,V_ys_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 149.08/148.72 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_zs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 149.08/148.72 => ( hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_ys_2)) = hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs_2),V_zs_2))
% 149.08/148.72 => V_ys_2 = V_zs_2 ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__fst__zip,axiom,
% 149.08/148.72 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__snd__zip,axiom,
% 149.08/148.72 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__insort,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)))
% 149.08/148.72 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__pos__if__in__set,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => 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_a)),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__eq__conv,axiom,
% 149.08/148.72 ! [V_zs_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => ( hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2) = V_zs_2
% 149.08/148.72 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_zs_2) = V_xs_2
% 149.08/148.72 & hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_b),c_Product__Type_Osnd(T_a,T_b)),V_zs_2) = V_ys_2 ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lenlex__conv,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBC(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))))),c_List_Olex(T_a,V_r_2)))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lenlex__def,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_List_Olenlex(T_a,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_a)),tc_List_Olist(T_a)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_a),c_Wellfounded_Oless__than,c_List_Olex(T_a,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_a),tc_prod(tc_Nat_Onat,tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_a))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_COMBI(tc_List_Olist(T_a)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__lists__length__eq,axiom,
% 149.08/148.72 ! [V_n_2,V_A_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__eq__iff__zip__eq,axiom,
% 149.08/148.72 ! [T_a,V_ys_2,V_xs_2] :
% 149.08/148.72 ( V_xs_2 = V_ys_2
% 149.08/148.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 149.08/148.72 & ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__zip__is__None,axiom,
% 149.08/148.72 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => ( hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = c_Option_Ooption_ONone(T_b)
% 149.08/148.72 <=> ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__zip__is__Some,axiom,
% 149.08/148.72 ! [V_x_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 <=> ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)),V_x_2) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__remove1,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,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_a)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_dom__map__of__zip,axiom,
% 149.08/148.72 ! [V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => c_Map_Odom(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) = hAPP(c_List_Oset(T_a),V_xs_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_finite__lists__length__le,axiom,
% 149.08/148.72 ! [V_n_2,V_A_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_a)),hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nitpick_Ocard_H__def,axiom,
% 149.08/148.72 ! [V_A_2,T_a] :
% 149.08/148.72 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_Nitpick_Ocard_H(T_a,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a)))) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_Nitpick_Ocard_H(T_a,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__iff__zip,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 149.08/148.72 & ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_a)),hAPP(hAPP(c_List_Ozip(T_a,T_a),V_xs_2),V_ys_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2)),B_x)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__rtrancl__refl,axiom,
% 149.08/148.72 ! [V_r_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_xs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__eq__len,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__rtrancl__trans,axiom,
% 149.08/148.72 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_zs_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__mono,axiom,
% 149.08/148.72 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_List_Olistrel(T_a,V_s_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrelp__listrel__eq,axiom,
% 149.08/148.72 ! [V_xa_2,V_x_2,V_r_2,T_a] :
% 149.08/148.72 ( c_List_Olistrelp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool)),T_a),c_COMBC(T_a,tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_prod(T_a,T_a)),tc_fun(T_a,tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_a),tc_fun(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool),tc_HOL_Obool),T_a),c_member(tc_prod(T_a,T_a)))),c_Product__Type_OPair(T_a,T_a)))),V_r_2),V_x_2,V_xa_2)
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_xa_2)),c_List_Olistrel(T_a,V_r_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexn_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_n_2,V_r_2,T_a] : hAPP(c_List_Olexn(T_a,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_a),tc_List_Olist(T_a)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_a,tc_List_Olist(T_a)),tc_prod(T_a,tc_List_Olist(T_a))),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_Product__Type_Omap__pair(tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),tc_prod(T_a,tc_List_Olist(T_a)),tc_List_Olist(T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),c_Wellfounded_Olex__prod(T_a,tc_List_Olist(T_a),V_r_2,hAPP(c_List_Olexn(T_a,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_impossible__Cons,axiom,
% 149.08/148.72 ! [V_x,V_ys,V_xs,T_a] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__ConsD,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_y_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))))
% 149.08/148.72 => ( V_y_2 = V_x_2
% 149.08/148.72 | hBOOL(hAPP(hAPP(c_member(T_a),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__Cons__Cons,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__subset__Cons,axiom,
% 149.08/148.72 ! [V_x_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_foldr_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrelp_OCons,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a,V_y_2,V_x_2,V_r_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 149.08/148.72 => ( c_List_Olistrelp(T_a,V_r_2,V_xs_2,V_ys_2)
% 149.08/148.72 => c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrelp_Oequations_I2_J,axiom,
% 149.08/148.72 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_a] :
% 149.08/148.72 ( c_List_Olistrelp(T_a,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a4_2))
% 149.08/148.72 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 149.08/148.72 & c_List_Olistrelp(T_a,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Oinject,axiom,
% 149.08/148.72 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H_2),V_list_H_2)
% 149.08/148.72 <=> ( V_a_2 = V_a_H_2
% 149.08/148.72 & V_list_2 = V_list_H_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_not__Cons__self2,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 149.08/148.72
% 149.08/148.72 fof(fact_not__Cons__self,axiom,
% 149.08/148.72 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_remove1_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_xs,T_a,V_y,V_x] :
% 149.08/148.72 ( ( V_x = V_y
% 149.08/148.72 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 149.08/148.72 & ( V_x != V_y
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__key_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_ys_2,T_b,V_y_2,V_x_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)))
% 149.08/148.72 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 & hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__Cons__code_I2_J,axiom,
% 149.08/148.72 ! [V_ps,V_v,T_c,T_b,V_k,V_l] :
% 149.08/148.72 ( ( V_l = V_k
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(c_Option_Ooption_OSome(T_c),V_v) )
% 149.08/148.72 & ( V_l != V_k
% 149.08/148.72 => hAPP(hAPP(c_Map_Omap__of(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_l),V_v)),V_ps)),V_k) = hAPP(hAPP(c_Map_Omap__of(T_b,T_c),V_ps),V_k) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osize_I4_J,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel_OCons,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_ps_2,V_p_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),V_p_2),V_ps_2)) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),hAPP(c_Map_Omap__of(T_a,T_b),V_ps_2)),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p_2)),hAPP(c_Option_Ooption_OSome(T_b),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Cons__in__lex,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olex(T_a,V_r_2)))
% 149.08/148.72 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) )
% 149.08/148.72 | ( V_x_2 = V_y_2
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olex(T_a,V_r_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Cons,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = c_List_Oset__Cons(T_a,hAPP(c_Relation_OImage(T_a,T_a,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__Cons__def,axiom,
% 149.08/148.72 ! [V_XS_2,V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_a)),c_HOL_OEx(T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_HOL_Obool),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBS(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_a,tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBS(tc_List_Olist(T_a),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_a)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_fun(tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))),tc_List_Olist(T_a)),c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_HOL_Obool,tc_List_Olist(T_a))),c_fequal))),c_List_Olist_OCons(T_a)))))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),T_a),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),V_XS_2)))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Cons1,axiom,
% 149.08/148.72 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => ~ ! [B_y,B_ys] :
% 149.08/148.72 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_ys)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_y_2),B_y)),V_r_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_ys_2),B_ys)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Cons2,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => ~ ! [B_x,B_xs] :
% 149.08/148.72 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),V_y_2)),V_r_2))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),B_xs),V_ys_2)),c_List_Olistrel(T_a,V_r_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__sublist,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osublist(T_a,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_a)),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)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pick_Osimps,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a,V_i] :
% 149.08/148.72 ( ( 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)))
% 149.08/148.72 => 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) )
% 149.08/148.72 & ( ~ 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)))
% 149.08/148.72 => 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))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__sublistI,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_notin__set__sublistI,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__set__sublistD,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__sublist__subset,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select__weight__cons__zero,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_a,V_xs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pick__member,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_i_2] :
% 149.08/148.72 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Random_Opick(T_a,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__simps_I2_J,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a] :
% 149.08/148.72 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__0,axiom,
% 149.08/148.72 ! [V_xs_2,T_b,T_a] :
% 149.08/148.72 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),c_Groups_Ozero__class_Ozero(T_a))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__addf,axiom,
% 149.08/148.72 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Oplus__class_Oplus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__const__mult,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,V_ca_2,T_b,T_a] :
% 149.08/148.72 ( class_Rings_Osemiring__0(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,T_a,T_b),hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ca_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__mult__const,axiom,
% 149.08/148.72 ! [V_xs_2,V_ca_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( class_Rings_Osemiring__0(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Otimes__class_Otimes(T_a)),V_f_2)),V_ca_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),V_ca_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__subtractf,axiom,
% 149.08/148.72 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( class_Groups_Oab__group__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(hAPP(c_COMBS(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Groups_Ominus__class_Ominus(T_a)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__abs,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_a,T_a),c_Groups_Oabs__class_Oabs(T_a)),V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_uminus__listsum__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( class_Groups_Oab__group__add(T_a)
% 149.08/148.72 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(T_a,T_a,T_b,c_Groups_Ouminus__class_Ouminus(T_a)),V_f_2)),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select__weight__def,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,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_a,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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_a,V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_a),c_COMBI(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 149.08/148.72 ! [V_f_2,V_xs_2,T_a,T_b] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_a,T_b),V_f_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 149.08/148.72 ! [V_l_2,V_k_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 149.08/148.72 ! [V_j_2,V_i_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.72 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_a),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__triv,axiom,
% 149.08/148.72 ! [V_xs_2,V_r_2,T_b,T_a] :
% 149.08/148.72 ( class_Rings_Osemiring__1(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_COMBK(T_a,T_b),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),V_r_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__map__remove1,axiom,
% 149.08/148.72 ! [V_f_2,V_xs_2,V_x_2,T_a,T_b] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select__weight__member,axiom,
% 149.08/148.72 ! [V_s_2,V_xs_2,T_a] :
% 149.08/148.72 ( 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_a),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),T_a),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a)),V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 149.08/148.72 ! [V_f_2,V_A_2,T_a,T_b] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_b)
% 149.08/148.72 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_a),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_List_Oset(T_a))),V_A_2))),c_List_Odistinct(T_a))))) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.72 => c_Nitpick_Osetsum_H(T_a,T_b,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__insert__insort__key,axiom,
% 149.08/148.72 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 149.08/148.72 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 149.08/148.72 ! [V_ns_2] :
% 149.08/148.72 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 <=> ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 149.08/148.72 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__insort__insert,axiom,
% 149.08/148.72 ! [V_x_2,V_f_2,V_xs_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__insert__triv,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__insort__insert,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__insert__key__triv,axiom,
% 149.08/148.72 ! [V_xs_2,T_b,V_x_2,V_f_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_a,V_f_2),hAPP(c_List_Oset(T_b),V_xs_2))))
% 149.08/148.72 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__insert__insort,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexord__cons__cons,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2))),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.72 | ( V_a_2 = V_b_2
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__zip,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_a,T_b)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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)),tc_prod(T_a,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)),tc_prod(T_a,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(tc_prod(T_a,T_b),tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_a,T_b)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_a,T_b)),c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_b,tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_prod(T_a,T_b)),tc_Nat_Onat),c_Product__Type_OPair(T_a,T_b)),hAPP(c_List_Onth(T_a),V_xs_2))),hAPP(c_List_Onth(T_b),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__zip,axiom,
% 149.08/148.72 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => ( 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)))
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_elem__le__listsum__nat,axiom,
% 149.08/148.72 ! [V_ns,V_k] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => 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))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth_Osimps,axiom,
% 149.08/148.72 ! [V_n_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_a,V_x_2,hAPP(c_List_Onth(T_a),V_xs_2),V_n_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__Cons__Suc,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__Cons__0,axiom,
% 149.08/148.72 ! [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 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__eq__iff__nth__eq,axiom,
% 149.08/148.72 ! [T_a,V_ys_2,V_xs_2] :
% 149.08/148.72 ( V_xs_2 = V_ys_2
% 149.08/148.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 149.08/148.72 & ! [B_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_i) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_all__set__conv__all__nth,axiom,
% 149.08/148.72 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.72 ( ! [B_x] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.72 <=> ! [B_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__map,axiom,
% 149.08/148.72 ! [V_f_2,T_b,V_xs_2,T_a,V_n_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__conv__nth,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 <=> ! [B_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => ! [B_j] :
% 149.08/148.72 ( 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_2)))
% 149.08/148.72 => ( B_i != B_j
% 149.08/148.72 => hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j) ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__eq__iff__index__eq,axiom,
% 149.08/148.72 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => ( hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2)
% 149.08/148.72 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__mem,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_n_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__set__conv__nth,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 <=> ? [B_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 & hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i) = V_x_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__Cons_H,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a,V_n] :
% 149.08/148.72 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 149.08/148.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__conv__nth,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__Cons__number__of,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a,V_v] :
% 149.08/148.72 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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 )
% 149.08/148.72 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__setsum__nth,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),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_a)),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__sublist,axiom,
% 149.08/148.72 ! [V_I_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_a),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_a,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_a),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_a),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_a),c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_a),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_a)),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))))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexord__lex,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olex(T_a,V_r_2)))
% 149.08/148.72 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.72 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__iff__nth,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2)
% 149.08/148.72 & ! [B_n] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_a),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexord__take__index__conv,axiom,
% 149.08/148.72 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.72 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2)))
% 149.08/148.72 & hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2)),V_y_2) = V_x_2 )
% 149.08/148.72 | ? [B_i] :
% 149.08/148.72 ( 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_a)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2))))
% 149.08/148.72 & hAPP(hAPP(c_List_Otake(T_a),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_a),B_i),V_y_2)
% 149.08/148.72 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_pick__same,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_l_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),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_a),V_xs_2),V_l_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_in__set__takeD,axiom,
% 149.08/148.72 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__take,axiom,
% 149.08/148.72 ! [V_xs,T_a,V_n,V_i] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 149.08/148.72 => 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) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__take__subset,axiom,
% 149.08/148.72 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__all,axiom,
% 149.08/148.72 ! [V_n,V_xs,T_a] :
% 149.08/148.72 ( 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))
% 149.08/148.72 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__take,axiom,
% 149.08/148.72 ! [V_i,V_xs,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__take,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 149.08/148.72 ! [V_m_2,V_n_2] :
% 149.08/148.72 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 149.08/148.72 <=> V_n_2 = V_m_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_times__code__numeral__code,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 149.08/148.72 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zero__code__numeral__def,axiom,
% 149.08/148.72 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__zip,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__take,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__Suc__Cons,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sublist__upt__eq__take,axiom,
% 149.08/148.72 ! [V_n_2,V_l_2,T_a] : c_List_Osublist(T_a,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_l_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__map,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_one__code__numeral__def,axiom,
% 149.08/148.72 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__code__numeral__code,axiom,
% 149.08/148.72 ! [V_m_2,V_n_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 149.08/148.72 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 149.08/148.72 <=> V_x_2 = V_y_2 ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_number__of__code__numeral__def,axiom,
% 149.08/148.72 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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__take__subset__set__take,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_n_2,V_m_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_plus__code__numeral__code,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__eq__code__numeral__code,axiom,
% 149.08/148.72 ! [V_m_2,V_n_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_code__numeral__not__eq__zero,axiom,
% 149.08/148.72 ! [V_i_2] :
% 149.08/148.72 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 149.08/148.72 <=> 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__update__nat,axiom,
% 149.08/148.72 ! [V_n,V_ns,V_k] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct__list__update,axiom,
% 149.08/148.72 ! [V_i_2,V_a_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.72 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))))
% 149.08/148.72 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__list__update__neq,axiom,
% 149.08/148.72 ! [V_x,V_xs,T_a,V_j,V_i] :
% 149.08/148.72 ( V_i != V_j
% 149.08/148.72 => 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) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__id,axiom,
% 149.08/148.72 ! [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 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__beyond,axiom,
% 149.08/148.72 ! [V_x,V_i,V_xs,T_a] :
% 149.08/148.72 ( 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))
% 149.08/148.72 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__list__update,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__update,axiom,
% 149.08/148.72 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__update,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_update__zip,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_a,tc_List_Olist(T_a)),c_List_Olist__update(T_a,V_xs_2)),V_v_2)),V_i_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__code_I3_J,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__code_I2_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__swap,axiom,
% 149.08/148.72 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 149.08/148.72 ( V_i != V_i_H
% 149.08/148.72 => 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) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__overwrite,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__update__subsetI,axiom,
% 149.08/148.72 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_A_2))
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__update__subset__insert,axiom,
% 149.08/148.72 ! [V_x_2,V_i_2,V_xs_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__list__update__eq,axiom,
% 149.08/148.72 ! [V_x,V_xs,T_a,V_i] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => 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 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__same__conv,axiom,
% 149.08/148.72 ! [V_x_2,V_xs_2,T_a,V_i_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 149.08/148.72 <=> hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nth__list__update,axiom,
% 149.08/148.72 ! [V_x,V_j,V_xs,T_a,V_i] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => ( ( V_i = V_j
% 149.08/148.72 => 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 )
% 149.08/148.72 & ( V_i != V_j
% 149.08/148.72 => 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) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__update__memI,axiom,
% 149.08/148.72 ! [V_x_2,V_xs_2,T_a,V_n_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_n_2),V_x_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upd__upds__conv__if,axiom,
% 149.08/148.72 ! [V_y_2,V_f_2,V_xs_2,V_ys_2,T_b,V_x_2,T_a] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))))
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_f_2),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)),V_xs_2,V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),V_y_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select__def,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : c_Random_Oselect(T_a,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_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_a,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_a),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__apply__nontin,axiom,
% 149.08/148.72 ! [V_ys_2,V_f_2,T_b,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.72 => hAPP(c_Map_Omap__upds(T_a,T_b,V_f_2,V_xs_2,V_ys_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 149.08/148.72 ! [V_l_2,V_k_2] :
% 149.08/148.72 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 149.08/148.72 <=> V_k_2 = V_l_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_code__numeral_Onat__of__inject,axiom,
% 149.08/148.72 ! [V_y_2,V_x_2] :
% 149.08/148.72 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 149.08/148.72 <=> V_x_2 = V_y_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__add__upds,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_m2_2,V_m1_2,T_b,T_a] : c_Map_Omap__add(T_a,T_b,V_m1_2,c_Map_Omap__upds(T_a,T_b,V_m2_2,V_xs_2,V_ys_2)) = c_Map_Omap__upds(T_a,T_b,c_Map_Omap__add(T_a,T_b,V_m1_2,V_m2_2),V_xs_2,V_ys_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of__inverse,axiom,
% 149.08/148.72 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 149.08/148.72
% 149.08/148.72 fof(fact_of__nat__nat__of,axiom,
% 149.08/148.72 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of__of__nat,axiom,
% 149.08/148.72 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 149.08/148.72
% 149.08/148.72 fof(fact_type__definition__code__numeral,axiom,
% 149.08/148.72 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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__code__numeral__def,axiom,
% 149.08/148.72 ! [V_m_2,V_n_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 149.08/148.72 <=> 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))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of,axiom,
% 149.08/148.72 ! [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)))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of__number,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_int__of__def,axiom,
% 149.08/148.72 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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_less__eq__code__numeral__def,axiom,
% 149.08/148.72 ! [V_m_2,V_n_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 149.08/148.72 <=> 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))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of__code,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_nat__of__aux__def,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__Cons,axiom,
% 149.08/148.72 ! [V_bs_2,V_b_2,V_as_2,V_a_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_as_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_bs_2)) = c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Suc__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_minus__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_of__nat__inverse,axiom,
% 149.08/148.72 ! [V_y_2] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 149.08/148.72 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_plus__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_div__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_times__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_mod__code__numeral__def,axiom,
% 149.08/148.72 ! [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))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__list__update2__drop,axiom,
% 149.08/148.72 ! [V_y_2,V_m_2,V_ys_2,T_b,V_i_2,V_xs_2,T_a] :
% 149.08/148.72 ( 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_2)),V_i_2))
% 149.08/148.72 => ( 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_ys_2)))
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__twist,axiom,
% 149.08/148.72 ! [V_bs_2,V_b_2,V_m_2,T_b,V_as_2,V_a_2,T_a] :
% 149.08/148.72 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_as_2)))
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),V_m_2),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)),V_as_2,V_bs_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,V_bs_2)),V_a_2),hAPP(c_Option_Ooption_OSome(T_b),V_b_2)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_code__numeral__decr,axiom,
% 149.08/148.72 ! [V_k] :
% 149.08/148.72 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 149.08/148.72 => 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))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_restrict__map__upds,axiom,
% 149.08/148.72 ! [V_m_2,V_D_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),V_D_2))
% 149.08/148.72 => c_Map_Orestrict__map(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2),V_D_2) = c_Map_Omap__upds(T_a,T_b,c_Map_Orestrict__map(T_a,T_b,V_m_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),V_D_2),hAPP(c_List_Oset(T_a),V_xs_2))),V_xs_2,V_ys_2) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_dom__map__upds,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Odom(T_a,T_b,c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)),V_xs_2))),c_Map_Odom(T_a,T_b,V_m_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select__weigth__select,axiom,
% 149.08/148.72 ! [T_a,V_xs_2] :
% 149.08/148.72 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.72 => c_Random_Oselect__weight(T_a,hAPP(hAPP(c_List_Omap(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_a),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_a,V_xs_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_subtract__code__numeral__code,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Nil1,axiom,
% 149.08/148.72 ! [V_r_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Nil2,axiom,
% 149.08/148.72 ! [V_r_2,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.72 => V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__code_I1_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update_Osimps_I1_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list__update__nonempty,axiom,
% 149.08/148.72 ! [V_x_2,V_k_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_a)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__Nil1,axiom,
% 149.08/148.72 ! [V_bs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,c_List_Olist_ONil(T_a),V_bs_2) = V_m_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__Nil2,axiom,
% 149.08/148.72 ! [V_as_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_as_2,c_List_Olist_ONil(T_b)) = V_m_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__0__conv,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osize_I3_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__is__Nil__conv,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nil__is__map__conv,axiom,
% 149.08/148.72 ! [V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.72 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_x_1,T_b,T_a] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),c_List_Olist_ONil(tc_prod(T_a,T_b))),V_x_1) = c_Option_Ooption_ONone(T_b) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sublist__nil,axiom,
% 149.08/148.72 ! [V_A_2,T_a] : c_List_Osublist(T_a,c_List_Olist_ONil(T_a),V_A_2) = c_List_Olist_ONil(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sublist__empty,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__key_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_x_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osimps_I2_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osimps_I3_J,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sorted__list__of__set__empty,axiom,
% 149.08/148.72 ! [T_a] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_a)
% 149.08/148.72 => c_List_Olinorder__class_Osorted__list__of__set(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__Nil,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip_Osimps_I1_J,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_upto__empty,axiom,
% 149.08/148.72 ! [V_i,V_j] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 149.08/148.72 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_foldr_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_a_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b),V_a_2) = V_a_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__Cons__code_I1_J,axiom,
% 149.08/148.72 ! [V_k,T_a,T_b] : hAPP(hAPP(c_Map_Omap__of(T_b,T_a),c_List_Olist_ONil(tc_prod(T_b,T_a))),V_k) = c_Option_Ooption_ONone(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_remove1_Osimps_I1_J,axiom,
% 149.08/148.72 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_distinct_Osimps_I1_J,axiom,
% 149.08/148.72 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_insort__not__Nil,axiom,
% 149.08/148.72 ! [V_xs_2,V_a_2,V_f_2,T_a,T_b] :
% 149.08/148.72 ( class_Orderings_Olinorder(T_b)
% 149.08/148.72 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrelp_Oequations_I1_J,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrelp_ONil,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : c_List_Olistrelp(T_a,V_r_2,c_List_Olist_ONil(T_a),c_List_Olist_ONil(T_a)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__empty,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_List_Oset(T_a),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__empty2,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),V_xs_2)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 149.08/148.72 ! [T_a] : hAPP(c_List_Oset(T_a),c_List_Olist_ONil(T_a)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__simps_I1_J,axiom,
% 149.08/148.72 ! [T_a] :
% 149.08/148.72 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.72 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__eq__Nil,axiom,
% 149.08/148.72 ! [V_xs_2,V_n_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.72 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 | V_xs_2 = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__0,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__Nil,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__greater__0__conv,axiom,
% 149.08/148.72 ! [V_xs_2,T_a] :
% 149.08/148.72 ( 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_a)),V_xs_2)))
% 149.08/148.72 <=> V_xs_2 != c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__1__Cons,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel_ONil,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a))),c_List_Olistrel(T_a,V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_lexord__Nil__right,axiom,
% 149.08/148.72 ! [V_r_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olexord(T_a,V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nil2__notin__lex,axiom,
% 149.08/148.72 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olex(T_a,V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nil__notin__lex,axiom,
% 149.08/148.72 ! [V_r_2,V_ys_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_ys_2)),c_List_Olex(T_a,V_r_2))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__Cons,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_a),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otake(T_a)),V_xs_2)),V_n_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_upto_Osimps,axiom,
% 149.08/148.72 ! [V_j,V_i] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 149.08/148.72 => 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)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 149.08/148.72 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_sublist__singleton,axiom,
% 149.08/148.72 ! [V_x_2,T_a,V_A_2] :
% 149.08/148.72 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 149.08/148.72 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 149.08/148.72 => c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)),V_A_2) = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_subtract__code__numeral__def,axiom,
% 149.08/148.72 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_minus__code__numeral__code,axiom,
% 149.08/148.72 ! [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) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__Cons_H,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a,V_n] :
% 149.08/148.72 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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) )
% 149.08/148.72 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_upto__rec__number__of,axiom,
% 149.08/148.72 ! [V_n,V_m] :
% 149.08/148.72 ( ( 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)))
% 149.08/148.72 => 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))) )
% 149.08/148.72 & ( ~ 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)))
% 149.08/148.72 => 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) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_select,axiom,
% 149.08/148.72 ! [V_s_2,T_a,V_xs_2] :
% 149.08/148.72 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.72 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_Product__Type_Ofst(T_a,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_a,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listrel__Nil,axiom,
% 149.08/148.72 ! [V_r_2,T_a] : hAPP(c_Relation_OImage(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__Cons__sing__Nil,axiom,
% 149.08/148.72 ! [V_A_2,T_a] : c_List_Oset__Cons(T_a,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_a,tc_List_Olist(T_a),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))),V_A_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_take__Cons__number__of,axiom,
% 149.08/148.72 ! [V_xs,V_x,T_a,V_v] :
% 149.08/148.72 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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) )
% 149.08/148.72 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_upto_Opsimps,axiom,
% 149.08/148.72 ! [V_j_2,V_i_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 149.08/148.72 => 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)) )
% 149.08/148.72 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 149.08/148.72 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_anamorph_Osimps,axiom,
% 149.08/148.72 ! [V_x_2,V_f_2,T_a,T_b,V_k_2] :
% 149.08/148.72 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.72 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2) )
% 149.08/148.72 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.72 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,V_f_2),V_k_2),V_x_2) = hAPP(c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),T_b),c_List_Olist_ONil(T_a)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_prod(tc_List_Olist(T_a),T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),c_COMBB(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),tc_fun(tc_prod(tc_List_Olist(T_a),T_b),tc_prod(tc_List_Olist(T_a),T_b)),T_a),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),T_b,tc_prod(tc_List_Olist(T_a),T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b))),T_a),hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(T_b,tc_prod(tc_List_Olist(T_a),T_b)),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),T_b))),c_List_Olist_OCons(T_a))))),hAPP(c_Lazy__Sequence_Oanamorph(T_b,T_a,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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listset_Osimps_I1_J,axiom,
% 149.08/148.72 ! [T_a] : c_List_Olistset(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__Cons1,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_b,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_b),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)))),hAPP(c_List_Ozip(T_a,T_b),V_xs_2))),V_ys_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osimps_I5_J,axiom,
% 149.08/148.72 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_list_Osimps_I4_J,axiom,
% 149.08/148.72 ! [V_f2_2,V_f1_2,T_b,T_a] : hAPP(c_List_Olist_Olist__case(T_a,T_b,V_f1_2,V_f2_2),c_List_Olist_ONil(T_b)) = V_f1_2 ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listset_Osimps_I2_J,axiom,
% 149.08/148.72 ! [V_As_2,V_A_2,T_a] : c_List_Olistset(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_a,V_A_2,c_List_Olistset(T_a,V_As_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__Cons,axiom,
% 149.08/148.72 ! [V_ys_2,V_y_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_a,T_b)),T_a,c_List_Olist_ONil(tc_prod(T_a,T_b)),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b))),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_prod(T_a,T_b)))),T_a),c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_List_Olist(tc_prod(T_a,T_b)),tc_List_Olist(tc_prod(T_a,T_b))),T_a),c_List_Olist_OCons(tc_prod(T_a,T_b))),hAPP(hAPP(c_COMBC(T_a,T_b,tc_prod(T_a,T_b)),c_Product__Type_OPair(T_a,T_b)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_a,T_b))),c_List_Ozip(T_a,T_b)),V_ys_2))),V_xs_2) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_upto_Opinduct,axiom,
% 149.08/148.72 ! [V_P_2,V_a1_2,V_a0_2] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => ( ! [B_i,B_j] :
% 149.08/148.72 ( 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)))
% 149.08/148.72 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 149.08/148.72 => 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)) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(V_P_2,B_i),B_j)) ) )
% 149.08/148.72 => hBOOL(hAPP(hAPP(V_P_2,V_a0_2),V_a1_2)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__upds__append1,axiom,
% 149.08/148.72 ! [V_x_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)))
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))),V_ys_2) = hAPP(hAPP(hAPP(c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b)),c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2)),V_x_2),hAPP(c_Option_Ooption_OSome(T_b),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__eq__Cons__conv,axiom,
% 149.08/148.72 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 149.08/148.72 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 149.08/148.72 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) )
% 149.08/148.72 | ? [B_ys_H] :
% 149.08/148.72 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H)
% 149.08/148.72 & hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Cons__eq__append__conv,axiom,
% 149.08/148.72 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_zs_2)
% 149.08/148.72 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_a)
% 149.08/148.72 & hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = V_zs_2 )
% 149.08/148.72 | ? [B_ys_H] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_ys_H) = V_ys_2
% 149.08/148.72 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys_H),V_zs_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append1__eq__conv,axiom,
% 149.08/148.72 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a)))
% 149.08/148.72 <=> ( V_xs_2 = V_ys_2
% 149.08/148.72 & V_x_2 = V_y_2 ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_eq__Nil__appendI,axiom,
% 149.08/148.72 ! [T_a,V_ys,V_xs] :
% 149.08/148.72 ( V_xs = V_ys
% 149.08/148.72 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__self__conv2,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_ys_2
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__self__conv,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_xs_2
% 149.08/148.72 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__is__Nil__conv,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_a)
% 149.08/148.72 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 149.08/148.72 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_self__append__conv2,axiom,
% 149.08/148.72 ! [V_xs_2,T_a,V_ys_2] :
% 149.08/148.72 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 149.08/148.72 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_self__append__conv,axiom,
% 149.08/148.72 ! [V_ys_2,T_a,V_xs_2] :
% 149.08/148.72 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 149.08/148.72 <=> V_ys_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__Nil2,axiom,
% 149.08/148.72 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 149.08/148.72
% 149.08/148.72 fof(fact_Nil__is__append__conv,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( c_List_Olist_ONil(T_a) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)
% 149.08/148.72 <=> ( V_xs_2 = c_List_Olist_ONil(T_a)
% 149.08/148.72 & V_ys_2 = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__Nil,axiom,
% 149.08/148.72 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 149.08/148.72
% 149.08/148.72 fof(fact_listsum__append,axiom,
% 149.08/148.72 ! [V_ys,V_xs,T_a] :
% 149.08/148.72 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.72 => 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)) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_set__append,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__assoc,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__eq__append__conv2,axiom,
% 149.08/148.72 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_ts_2)
% 149.08/148.72 <=> ? [B_us] :
% 149.08/148.72 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),B_us)
% 149.08/148.72 & hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ys_2) = V_ts_2 )
% 149.08/148.72 | ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),B_us) = V_zs_2
% 149.08/148.72 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),V_ts_2) ) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_same__append__eq,axiom,
% 149.08/148.72 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2)
% 149.08/148.72 <=> V_ys_2 = V_zs_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__same__eq,axiom,
% 149.08/148.72 ! [V_zs_2,V_xs_2,V_ys_2,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_a),V_zs_2),V_xs_2)
% 149.08/148.72 <=> V_ys_2 = V_zs_2 ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__eq__appendI,axiom,
% 149.08/148.72 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 149.08/148.72 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 149.08/148.72 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 149.08/148.72 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__of__append,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),V_xs_2),V_ys_2)) = c_Map_Omap__add(T_a,T_b,hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_foldr__append,axiom,
% 149.08/148.72 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,c_List_Ofoldr(T_b,T_a,V_f_2,V_ys_2,V_a_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_map__append,axiom,
% 149.08/148.72 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_ys_2)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_zip__append,axiom,
% 149.08/148.72 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 149.08/148.72 ( 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)
% 149.08/148.72 => ( 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)
% 149.08/148.72 => 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)) ) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_length__append,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_fun__upds__append__drop,axiom,
% 149.08/148.72 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_zs_2),V_ys_2) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_fun__upds__append2__drop,axiom,
% 149.08/148.72 ! [V_zs_2,V_m_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.72 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.72 => c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)) = c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) ) ).
% 149.08/148.72
% 149.08/148.72 fof(fact_append__Cons,axiom,
% 149.08/148.72 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Cons__eq__appendI,axiom,
% 149.08/148.73 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 149.08/148.73 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 149.08/148.73 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__append__length,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__append__length__plus,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__append,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__update__append1,axiom,
% 149.08/148.73 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__update__length,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remove1__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oremove1(T_a,V_x_2,V_xs_2)),V_ys_2) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oremove1(T_a,V_x_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oremove1(T_a,V_x_2,V_ys_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__append__leftI,axiom,
% 149.08/148.73 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 & hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 149.08/148.73 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__append,axiom,
% 149.08/148.73 ! [V_ys,V_xs,T_a,V_n] :
% 149.08/148.73 ( ( 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)))
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( ~ 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)))
% 149.08/148.73 => 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))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__update__append,axiom,
% 149.08/148.73 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 149.08/148.73 ( ( 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)))
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( ~ 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)))
% 149.08/148.73 => 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)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublist__append,axiom,
% 149.08/148.73 ! [V_A_2,V_l_H_2,V_l_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Osublist(T_a,V_l_2,V_A_2)),c_List_Osublist(T_a,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_a)),V_l_2)))),V_A_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__append__left__rightI,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_a_2),V_b_2)),V_r_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_a),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_b_2),V_y_2)))),c_List_Olexord(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__Suc__conv__app__nth,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublist__Cons,axiom,
% 149.08/148.73 ! [V_A_2,V_l_2,V_x_2,T_a] : c_List_Osublist(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_a)),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_a),V_x_2),c_List_Olist_ONil(T_a))),c_List_Olist_ONil(T_a))),c_List_Osublist(T_a,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)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 149.08/148.73 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)))),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))))),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 & V_x_2 = V_y_2 )
% 149.08/148.73 | ( V_xs_2 = V_ys_2
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__append__leftD,axiom,
% 149.08/148.73 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_v_2))),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.73 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_a)),V_r_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_u_2),V_v_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Cons__acc__listrel1I,axiom,
% 149.08/148.73 ! [V_xs_2,V_r_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),c_Wellfounded_Oacc(T_a,V_r_2)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 149.08/148.73 ! [V_r_2,T_a] : c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__converse,axiom,
% 149.08/148.73 ! [V_r_2,T_a] : c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 149.08/148.73 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__mono,axiom,
% 149.08/148.73 ! [V_s_2,V_r_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_s_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel1(T_a,V_s_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 149.08/148.73 ! [V_r_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 149.08/148.73 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1I2,axiom,
% 149.08/148.73 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 149.08/148.73 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_y_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__eq__len,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_not__Nil__listrel1,axiom,
% 149.08/148.73 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xs_2)),c_List_Olistrel1(T_a,V_r_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_not__listrel1__Nil,axiom,
% 149.08/148.73 ! [V_r_2,V_xs_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),c_List_Olist_ONil(T_a))),c_List_Olistrel1(T_a,V_r_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__listrel1I,axiom,
% 149.08/148.73 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 & V_us_2 = V_vs_2 )
% 149.08/148.73 | ( V_xs_2 = V_ys_2
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_us_2),V_vs_2)),c_List_Olistrel1(T_a,V_r_2))) ) )
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_a),V_ys_2),V_vs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__listrel1__converse,axiom,
% 149.08/148.73 ! [V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olistrel1(T_a,hAPP(c_Relation_Oconverse(T_a,T_a),V_r_2))))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,V_r_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel(T_a,c_Transitive__Closure_Ortrancl(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1I1,axiom,
% 149.08/148.73 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_xs_2))),c_List_Olistrel1(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Cons__listrel1__Cons,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.73 & V_xs_2 = V_ys_2 )
% 149.08/148.73 | ( V_x_2 = V_y_2
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__subset__listrel,axiom,
% 149.08/148.73 ! [V_r_H_2,V_r_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 149.08/148.73 => ( c_Relation_Orefl__on(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)),V_r_H_2)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel1(T_a,V_r_2)),c_List_Olistrel(T_a,V_r_H_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1I,axiom,
% 149.08/148.73 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),V_r_2))
% 149.08/148.73 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_vs_2))
% 149.08/148.73 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_vs_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_a,V_r_2)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1__iff__update,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 <=> ? [B_y,B_n] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n)),B_y)),V_r_2))
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),B_n),B_y) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel1E,axiom,
% 149.08/148.73 ! [V_r_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_a,V_r_2)))
% 149.08/148.73 => ~ ! [B_x,B_y] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_y)),V_r_2))
% 149.08/148.73 => ! [B_us,B_vs] :
% 149.08/148.73 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_vs))
% 149.08/148.73 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),B_y),B_vs)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate1__def,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Orotate1(T_a),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)))),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upd__conv__take__nth__drop,axiom,
% 149.08/148.73 ! [V_a,V_xs,T_a,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__via__drop,axiom,
% 149.08/148.73 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__1__Cons,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Suc__Cons,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__rotate1,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__drop,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__zip,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__drop,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__0,axiom,
% 149.08/148.73 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct1__rotate,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)))
% 149.08/148.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__drop,axiom,
% 149.08/148.73 ! [V_i,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__drop__subset,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__rotate1,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate1(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__dropD,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__drop,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__take,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Nil,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate1__is__Nil__conv,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orotate1(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__take__drop__id,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__drop__subset__set__drop,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_m_2,V_n_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__eq__Nil,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> 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_2)),V_n_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__all,axiom,
% 149.08/148.73 ! [V_n,V_xs,T_a] :
% 149.08/148.73 ( 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))
% 149.08/148.73 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__append,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__eq__conv__conj,axiom,
% 149.08/148.73 ! [V_zs_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2) = V_zs_2
% 149.08/148.73 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2)
% 149.08/148.73 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),V_zs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Cons,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_n_2,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Odrop(T_a)),V_xs_2),V_n_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Cons_H,axiom,
% 149.08/148.73 ! [V_xs,V_x,T_a,V_n] :
% 149.08/148.73 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__drop,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_i,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__eq__append__conv__if,axiom,
% 149.08/148.73 ! [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_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_a),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 149.08/148.73 <=> ( ( 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 149.08/148.73 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 149.08/148.73 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 149.08/148.73 & ( ~ 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_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)))
% 149.08/148.73 => ( hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 149.08/148.73 & hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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 ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__drop_H,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__simps,axiom,
% 149.08/148.73 ! [V_xs,V_x,T_b,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 149.08/148.73 & 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Cons__number__of,axiom,
% 149.08/148.73 ! [V_xs,V_x,T_a,V_v] :
% 149.08/148.73 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__add,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_j,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate1__length01,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__append1,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__append2,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_id__take__nth__drop,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_i] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__hd__drop,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__drop__conv__nth,axiom,
% 149.08/148.73 ! [V_n,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ( 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)))
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd_Osimps,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__map,axiom,
% 149.08/148.73 ! [V_f_2,T_b,T_a,V_xs_2] :
% 149.08/148.73 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => hAPP(c_List_Ohd(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__append2,axiom,
% 149.08/148.73 ! [V_ys,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__append,axiom,
% 149.08/148.73 ! [V_ys,T_a,V_xs] :
% 149.08/148.73 ( ( V_xs = c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__in__set,axiom,
% 149.08/148.73 ! [T_a,V_xs_2] :
% 149.08/148.73 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__conv__nth,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate1__hd__tl,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__rotate__conv__nth,axiom,
% 149.08/148.73 ! [V_n,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__Suc,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__tl,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl__drop,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl_Osimps_I2_J,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__rotate,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_n_2,T_a] : hAPP(c_List_Orotate(T_a,V_n_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__tl,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Otl(T_b),V_xs_2)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__rotate,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__rotate,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)))
% 149.08/148.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__tl,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__rotate,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl_Osimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__is__Nil__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orotate(T_a,V_n_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__conv__mod,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__tl,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl__append2,axiom,
% 149.08/148.73 ! [V_ys,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate1__rotate__swap,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__def,axiom,
% 149.08/148.73 ! [V_n_2,T_a] : c_List_Orotate(T_a,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_n_2),c_List_Orotate1(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__Suc,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,hAPP(c_List_Otl(T_a),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Oappend(T_a)),V_ys_2))),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate0,axiom,
% 149.08/148.73 ! [T_a] : c_List_Orotate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__add,axiom,
% 149.08/148.73 ! [V_n_2,V_m_2,T_a] : c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orotate(T_a,V_m_2)),c_List_Orotate(T_a,V_n_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__id,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)
% 149.08/148.73 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__length01,axiom,
% 149.08/148.73 ! [V_n,V_xs,T_a] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__tl,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_tl__take,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__Suc,axiom,
% 149.08/148.73 ! [V_n,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__drop__take,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_fold1__set,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 149.08/148.73 => ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => hAPP(c_Finite__Set_Ofold1(T_a,c_Groups_Otimes__class_Otimes(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Otimes__class_Otimes(T_a),hAPP(c_List_Ohd(T_a),V_xs_2)),hAPP(c_List_Otl(T_a),V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list_Osize_I2_J,axiom,
% 149.08/148.73 ! [V_list_2,V_a_2,V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_a),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_a,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__Nil,axiom,
% 149.08/148.73 ! [V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),c_List_Olist_ONil(T_b)) = V_a_2 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__size__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_g_2,T_b,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,V_f_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_b,hAPP(c_Fun_Ocomp(T_a,tc_Nat_Onat,T_b,V_f_2),V_g_2),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_start__le__sum,axiom,
% 149.08/148.73 ! [V_ns_2,V_n_2,V_m_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__absorb0,axiom,
% 149.08/148.73 ! [V_zs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.73 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_zs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_zs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__assoc,axiom,
% 149.08/148.73 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Groups_Osemigroup__add(T_a)
% 149.08/148.73 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x_2),hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_y_2),V_zs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldr__conv__foldl,axiom,
% 149.08/148.73 ! [V_a_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Groups_Oab__semigroup__add(T_a)
% 149.08/148.73 => c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_c,V_a_2,V_g_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,T_a)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_a),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,T_a)),T_a),c_COMBB(T_b,T_a,T_c)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__Cons,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsum__foldl,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.73 => c_List_Omonoid__add__class_Olistsum(T_a) = c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__foldr1,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.73 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_xs_2) = c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__foldr1__lemma,axiom,
% 149.08/148.73 ! [V_xs_2,V_a_2,T_a] :
% 149.08/148.73 ( class_Groups_Omonoid__add(T_a)
% 149.08/148.73 => hAPP(c_List_Ofoldl(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_2),c_List_Ofoldr(T_a,T_a,c_Groups_Oplus__class_Oplus(T_a),V_xs_2,c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sum__eq__0__conv,axiom,
% 149.08/148.73 ! [V_ns_2,V_m_2] :
% 149.08/148.73 ( 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)
% 149.08/148.73 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 149.08/148.73 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list_Osize_I1_J,axiom,
% 149.08/148.73 ! [V_fa_2,T_a] : c_List_Olist_Olist__size(T_a,V_fa_2,c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 149.08/148.73 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( c_Finite__Set_Ofun__left__comm__idem(T_a,T_b,V_f_2)
% 149.08/148.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Sup__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.73 => c_Complete__Lattice_OSup__class_OSup(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Inf__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.73 => c_Complete__Lattice_OInf__class_OInf(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Sup__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Lattices_Olattice(T_a)
% 149.08/148.73 => c_Big__Operators_Olattice__class_OSup__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Inf__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Lattices_Olattice(T_a)
% 149.08/148.73 => c_Big__Operators_Olattice__class_OInf__fin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Min__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_Big__Operators_Olinorder__class_OMin(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Max__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_Big__Operators_Olinorder__class_OMax(T_a,hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_Big__Operators_Olattice_OInf__fin(T_a,c_Orderings_Oord__class_Omin(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omin(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_Big__Operators_Olattice_OSup__fin(T_a,c_Orderings_Oord__class_Omax(T_a),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_SUPR__set__fold,axiom,
% 149.08/148.73 ! [V_f_2,V_xs_2,T_b,T_a] :
% 149.08/148.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_a)),V_f_2)),c_Orderings_Obot__class_Obot(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_INFI__set__fold,axiom,
% 149.08/148.73 ! [V_f_2,V_xs_2,T_b,T_a] :
% 149.08/148.73 ( class_Complete__Lattice_Ocomplete__lattice(T_a)
% 149.08/148.73 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_a),hAPP(c_List_Oset(T_b),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,T_a),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_a)),V_f_2)),c_Orderings_Otop__class_Otop(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__size__estimation,axiom,
% 149.08/148.73 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__size__estimation_H,axiom,
% 149.08/148.73 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__upds__fold__map__upd,axiom,
% 149.08/148.73 ! [V_vs_2,V_ks_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_ks_2,V_vs_2) = hAPP(c_List_Ofoldl(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(tc_prod(T_a,T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_a,tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),c_COMBC(T_a,tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)))),tc_fun(T_a,tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b))))),tc_fun(T_a,tc_Option_Ooption(T_b))),hAPP(c_COMBB(tc_fun(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b))),tc_fun(tc_fun(T_b,tc_Option_Ooption(T_b)),tc_fun(T_b,tc_fun(T_a,tc_Option_Ooption(T_b)))),T_a),c_COMBB(tc_Option_Ooption(T_b),tc_fun(T_a,tc_Option_Ooption(T_b)),T_b))),c_Fun_Ofun__upd(T_a,tc_Option_Ooption(T_b))))),c_Option_Ooption_OSome(T_b))),V_m_2),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ks_2),V_vs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_elem__le__sum,axiom,
% 149.08/148.73 ! [V_ns_2,V_n_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__size__conv__listsum,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a] : c_List_Olist_Olist__size(T_a,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_a,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel__subset,axiom,
% 149.08/148.73 ! [V_A_2,V_r_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_a,T_a),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_a,T_a),V_A_2),hAPP(c_COMBK(tc_fun(T_a,tc_HOL_Obool),T_a),V_A_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_HOL_Obool)),c_List_Olistrel(T_a,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_List_Olist(T_a)),c_List_Olists(T_a,V_A_2))))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__accI,axiom,
% 149.08/148.73 ! [V_r_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists_ONil,axiom,
% 149.08/148.73 ! [V_A_2,T_a] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olists(T_a,V_A_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__mono,axiom,
% 149.08/148.73 ! [V_B_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olists(T_a,V_A_2)),c_List_Olists(T_a,V_B_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__in__lists__conv,axiom,
% 149.08/148.73 ! [V_A_2,V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__UNIV,axiom,
% 149.08/148.73 ! [T_a] : c_List_Olists(T_a,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equiv__listrel,axiom,
% 149.08/148.73 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.73 ( c_Equiv__Relations_Oequiv(T_a,V_A_2,V_r_2)
% 149.08/148.73 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listrel__refl__on,axiom,
% 149.08/148.73 ! [V_r_2,V_A_2,T_a] :
% 149.08/148.73 ( c_Relation_Orefl__on(T_a,V_A_2,V_r_2)
% 149.08/148.73 => c_Relation_Orefl__on(tc_List_Olist(T_a),c_List_Olists(T_a,V_A_2),c_List_Olistrel(T_a,V_r_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Cons__in__lists__iff,axiom,
% 149.08/148.73 ! [V_A_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),V_A_2))
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__lists__conv__set,axiom,
% 149.08/148.73 ! [V_A_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__eq__set,axiom,
% 149.08/148.73 ! [V_A_2,T_a] : c_List_Olists(T_a,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),V_A_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__empty,axiom,
% 149.08/148.73 ! [T_a] : c_List_Olists(T_a,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__accD,axiom,
% 149.08/148.73 ! [V_r_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_List_Olists(T_a,c_Wellfounded_Oacc(T_a,V_r_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_a),c_List_Olistrel1(T_a,V_r_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__append__rightI,axiom,
% 149.08/148.73 ! [V_r_2,V_x_2,T_a,V_y_2] :
% 149.08/148.73 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_b),B_z)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),hAPP(hAPP(c_List_Oappend(T_a),V_x_2),V_y_2))),c_List_Olexord(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__Nil__left,axiom,
% 149.08/148.73 ! [V_r_2,V_y_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.73 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_x) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__list__update,axiom,
% 149.08/148.73 ! [V_x,V_k,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ( ( 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))
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 149.08/148.73 & ( 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))
% 149.08/148.73 => 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) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsum__mono,axiom,
% 149.08/148.73 ! [V_g_2,V_f_2,V_xs_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Groups_Omonoid__add(T_b)
% 149.08/148.73 & class_Groups_Oordered__ab__semigroup__add(T_b) )
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_g_2),V_xs_2)))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last_Osimps,axiom,
% 149.08/148.73 ! [V_x,T_a,V_xs] :
% 149.08/148.73 ( ( V_xs = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 149.08/148.73 & ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__ConsR,axiom,
% 149.08/148.73 ! [V_x,T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__ConsL,axiom,
% 149.08/148.73 ! [V_x,T_a,V_xs] :
% 149.08/148.73 ( V_xs = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__append,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_ys] :
% 149.08/148.73 ( ( V_ys = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 149.08/148.73 & ( V_ys != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__appendR,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_ys] :
% 149.08/148.73 ( V_ys != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__appendL,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_ys] :
% 149.08/148.73 ( V_ys = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__map,axiom,
% 149.08/148.73 ! [V_f_2,T_b,T_a,V_xs_2] :
% 149.08/148.73 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_a,V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__in__set,axiom,
% 149.08/148.73 ! [T_a,V_as_2] :
% 149.08/148.73 ( V_as_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),c_List_Olast(T_a,V_as_2)),hAPP(c_List_Oset(T_a),V_as_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__snoc,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__drop,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__conv__nth,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__linear,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,V_r_2,T_a] :
% 149.08/148.73 ( ! [B_a,B_b] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_a),B_b)),V_r_2))
% 149.08/148.73 | B_a = B_b
% 149.08/148.73 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_b),B_a)),V_r_2)) )
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_x_2),V_y_2)),c_List_Olexord(T_a,V_r_2)))
% 149.08/148.73 | V_x_2 = V_y_2
% 149.08/148.73 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_x_2)),c_List_Olexord(T_a,V_r_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lexord__irreflexive,axiom,
% 149.08/148.73 ! [V_y_2,V_r_2,T_a] :
% 149.08/148.73 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),B_x),B_x)),V_r_2))
% 149.08/148.73 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_y_2),V_y_2)),c_List_Olexord(T_a,V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists_Osimps,axiom,
% 149.08/148.73 ! [V_A_2,V_a_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_a_2),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 149.08/148.73 | ? [B_a,B_l] :
% 149.08/148.73 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_a),B_l)
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(T_a),B_a),V_A_2))
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_l),c_List_Olists(T_a,V_A_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__size__pointwise,axiom,
% 149.08/148.73 ! [V_g_2,V_f_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_a,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_a,V_g_2,V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__take,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__butlast,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Obutlast(T_b,V_xs_2)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__append,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_ys] :
% 149.08/148.73 ( ( V_ys = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 149.08/148.73 & ( V_ys != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast_Osimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__butlast,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__butlastD,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_x,T_a,V_xs] :
% 149.08/148.73 ( ( V_xs = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 149.08/148.73 & ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__drop,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__butlast,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__butlast__appendI,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_xs_2))))
% 149.08/148.73 | hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,V_ys_2)))) )
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__snoc,axiom,
% 149.08/148.73 ! [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 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__butlast,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__butlast,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__conv__take,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_butlast__list__update,axiom,
% 149.08/148.73 ! [V_x,V_xs,T_a,V_k] :
% 149.08/148.73 ( ( 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))
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( 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))
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_snoc__eq__iff__butlast,axiom,
% 149.08/148.73 ! [V_ys_2,V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))) = V_ys_2
% 149.08/148.73 <=> ( V_ys_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 & c_List_Obutlast(T_a,V_ys_2) = V_xs_2
% 149.08/148.73 & c_List_Olast(T_a,V_ys_2) = V_x_2 ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__butlast__last__id,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => 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 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__take__lemma,axiom,
% 149.08/148.73 ! [V_ys,V_xs,T_a,V_k] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => ( 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)))
% 149.08/148.73 => ( ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 149.08/148.73 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__aux__max,axiom,
% 149.08/148.73 ! [V_xss_2,T_b,V_xs_2,T_a] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),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_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_a)),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)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),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_b)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),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),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__is__subset,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_List_Oset(T_a),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__filter__le,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,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)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sum__length__filter__compl,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_Q_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_Q_2)),V_P_2)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__remove1,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_Q_2,T_a] : hAPP(c_List_Ofilter(T_a,V_Q_2),c_List_Oremove1(T_a,V_x_2,V_xs_2)) = c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_Q_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remove1__filter__not,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_Oremove1(T_a,V_x_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__filter,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__insort__triv,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,V_x_2,V_P_2,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__id__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = V_xs_2
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__empty__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_Set_OCollect(T_a),hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),V_xs_2)))),V_P_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__filter__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__filter__less,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__minus__filter__out,axiom,
% 149.08/148.73 ! [V_y_2,V_xs_2,T_a] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__in__sublist,axiom,
% 149.08/148.73 ! [V_s_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),hAPP(c_List_Oset(T_a),c_List_Osublist(T_a,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_a,V_xs_2,V_s_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__filter__conv__card,axiom,
% 149.08/148.73 ! [V_xs_2,V_p_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,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_a)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_a),V_xs_2))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__filter__def,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_a),hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),V_f_2)),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,tc_Option_Ooption(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_HOL_Obool),T_b),c_fequal),V_f_2)),c_Option_Ooption_ONone(T_a)))),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__max__length,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__map__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),c_List_Otranspose(T_b,V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__filter__simps_I2_J,axiom,
% 149.08/148.73 ! [V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Osimps_I1_J,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__empty,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Otranspose(T_a,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_a))
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Osimps_I2_J,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__of__filter__in,axiom,
% 149.08/148.73 ! [V_P_2,V_z_2,V_k_2,V_xs_2,T_a,T_b] :
% 149.08/148.73 ( hAPP(hAPP(c_Map_Omap__of(T_b,T_a),V_xs_2),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_k_2),V_z_2))
% 149.08/148.73 => hAPP(hAPP(c_Map_Omap__of(T_b,T_a),hAPP(c_List_Ofilter(tc_prod(T_b,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_a,tc_HOL_Obool),V_P_2)),V_xs_2)),V_k_2) = hAPP(c_Option_Ooption_OSome(T_a),V_z_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__filter__simps_I1_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omap__filter(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_Option_Ooption_Ooption__case(tc_List_Olist(T_a),T_a,c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Omap__filter(T_b,T_a,V_f_2,V_xs_2))),hAPP(V_f_2,V_x_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublist__shift__lemma__Suc,axiom,
% 149.08/148.73 ! [V_is_2,V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_a,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_a,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_a,tc_Nat_Onat)),V_P_2),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_a,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pick__drop__zero,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : c_Random_Opick(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_select__weigth__drop__zero,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : c_Random_Oselect__weight(T_a,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_a,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_a)),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_a,V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__transpose,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_i_2] :
% 149.08/148.73 ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__transpose,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_a),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_a)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__filter__map__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) = c_List_Omap__filter(T_b,T_a,hAPP(hAPP(c_COMBC(T_b,tc_Option_Ooption(T_a),tc_Option_Ooption(T_a)),hAPP(hAPP(c_COMBS(T_b,tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Option_Ooption(T_a),tc_fun(tc_Option_Ooption(T_a),tc_Option_Ooption(T_a))),T_b),c_If(tc_Option_Ooption(T_a))),V_P_2)),hAPP(hAPP(c_COMBB(T_a,tc_Option_Ooption(T_a),T_b),c_Option_Ooption_OSome(T_a)),V_f_2))),c_Option_Ooption_ONone(T_a)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_insort__key__remove1,axiom,
% 149.08/148.73 ! [V_f_2,V_xs_2,V_a_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 149.08/148.73 => ( hAPP(c_List_Ohd(T_a),hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_a),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 149.08/148.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublist__def,axiom,
% 149.08/148.73 ! [V_A_2,V_xs_2,T_a] : c_List_Osublist(T_a,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted_ONil,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__single,axiom,
% 149.08/148.73 ! [V_x,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__same,axiom,
% 149.08/148.73 ! [V_xs_2,V_g_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Ofilter(T_a,hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__filter,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__map__same,axiom,
% 149.08/148.73 ! [V_xs_2,V_g_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_a,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_a,tc_fun(T_a,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__butlast,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__Suc,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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))) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__Suc__append,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__add__eq__append,axiom,
% 149.08/148.73 ! [V_k,V_j,V_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__eq__Nil__conv,axiom,
% 149.08/148.73 ! [V_j_2,V_i_2] :
% 149.08/148.73 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 149.08/148.73 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__conv__Nil,axiom,
% 149.08/148.73 ! [V_i,V_j] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 149.08/148.73 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_take__upt,axiom,
% 149.08/148.73 ! [V_n,V_m,V_i] :
% 149.08/148.73 ( 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))
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__many,axiom,
% 149.08/148.73 ! [V_zs,V_y,V_x,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 149.08/148.73 => 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))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__many__eq,axiom,
% 149.08/148.73 ! [V_zs_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),V_y_2))
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_zs_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_drop__upt,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__drop,axiom,
% 149.08/148.73 ! [V_n,V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__upt,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__rec,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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)) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__conv__Cons,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__insort__insert,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Oinsort__insert__key(T_a,T_a,c_COMBI(T_a),V_x_2,V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__list__of__set__range,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__upto,axiom,
% 149.08/148.73 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__upt,axiom,
% 149.08/148.73 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__remove1,axiom,
% 149.08/148.73 ! [V_a,V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__upt,axiom,
% 149.08/148.73 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__insort,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_x_2),V_xs_2))
% 149.08/148.73 <=> c_List_Olinorder__class_Osorted(T_a,V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__distinct__set__unique,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys_2))
% 149.08/148.73 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 149.08/148.73 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_atLeastLessThan__upt,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__upt,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__take,axiom,
% 149.08/148.73 ! [V_n,V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted_Oequations_I1_J,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__0,axiom,
% 149.08/148.73 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__tl,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__insort__insert__key,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_a,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__Suc__upt,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__map__remove1,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__insort__key,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)))
% 149.08/148.73 <=> c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__upt,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__Cons,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 149.08/148.73 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 149.08/148.73 <=> ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,V_ys_2)
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ! [B_xa] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),V_ys_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) ) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__rec__number__of,axiom,
% 149.08/148.73 ! [V_n,V_m] :
% 149.08/148.73 ( ( 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)))
% 149.08/148.73 => 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))) )
% 149.08/148.73 & ( ~ 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)))
% 149.08/148.73 => 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) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_upt__eq__Cons__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 149.08/148.73 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 149.08/148.73 & V_i_2 = V_x_2
% 149.08/148.73 & 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 ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__upt,axiom,
% 149.08/148.73 ! [V_j,V_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__insort,axiom,
% 149.08/148.73 ! [V_x_2,V_P_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2))
% 149.08/148.73 => ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_b,V_P_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_a,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_b,V_P_2),V_xs_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__nth,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),hAPP(c_List_Onth(T_a),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) = V_xs_2 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_atLeastAtMost__upt,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_atLeast__upt,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 149.08/148.73 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 149.08/148.73 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.73 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_a),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_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 149.08/148.73 ! [V_n_2,V_m_2,V_f_2,T_a] :
% 149.08/148.73 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.73 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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_a),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__upt,axiom,
% 149.08/148.73 ! [V_j,V_k,V_i] :
% 149.08/148.73 ( 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))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_greaterThanAtMost__upt,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted_Oequations_I2_J,axiom,
% 149.08/148.73 ! [V_a1_2,V_a2_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_a2_2),V_a1_2))
% 149.08/148.73 <=> ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_a1_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a2_2),B_x)) )
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,V_a1_2) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_greaterThanLessThan__upt,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__map__upt,axiom,
% 149.08/148.73 ! [V_f_2,T_a,V_m_2,V_n_2,V_i_2] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_a),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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__list__of__set,axiom,
% 149.08/148.73 ! [V_A_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.73 => ( hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2)) = V_A_2
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))
% 149.08/148.73 & hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osorted__list__of__set(T_a,V_A_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_atMost__upto,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_insort__remove1,axiom,
% 149.08/148.73 ! [V_xs_2,V_a_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_a_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a)),V_a_2),c_List_Oremove1(T_a,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__nth__mono,axiom,
% 149.08/148.73 ! [V_j,V_i,V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => ( 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)))
% 149.08/148.73 => 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))) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__equals__nth__mono,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 <=> ! [B_j] :
% 149.08/148.73 ( 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_2)))
% 149.08/148.73 => ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_j))) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__sorted__distinct__set__unique,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_List_Oset(T_a),V_ys_2)))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2))
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)))
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2))
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_ys_2)))
% 149.08/148.73 => ( hAPP(c_List_Oset(T_a),V_xs_2) = hAPP(c_List_Oset(T_a),V_ys_2)
% 149.08/148.73 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublist__shift__lemma,axiom,
% 149.08/148.73 ! [V_i_2,V_xs_2,V_A_2,T_a] : hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_a,tc_Nat_Onat),T_a),c_Product__Type_Ofst(T_a,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_a,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_a,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_a,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_a,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_a,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_a)),V_xs_2))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__rectangle,axiom,
% 149.08/148.73 ! [V_n_2,T_a,V_xs_2] :
% 149.08/148.73 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 149.08/148.73 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 149.08/148.73 => ( ! [B_i] :
% 149.08/148.73 ( 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_a))),V_xs_2)))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),B_i)) = V_n_2 )
% 149.08/148.73 => c_List_Otranspose(T_a,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_a),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_a)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_a)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_Nat_Onat,T_a),tc_Nat_Onat),c_List_Onth(T_a)),hAPP(c_List_Onth(tc_List_Olist(T_a)),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_a))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Opsimps_I2_J,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)))
% 149.08/148.73 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss_2)) = c_List_Otranspose(T_a,V_xss_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Opsimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))))
% 149.08/148.73 => c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__column,axiom,
% 149.08/148.73 ! [V_i_2,V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 149.08/148.73 => ( 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_a))),V_xs_2)))
% 149.08/148.73 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_Nat_Onat,T_a),c_List_Onth(T_a)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__aux__filter__head,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),T_a),c_List_Ohd(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_inj__on__rev,axiom,
% 149.08/148.73 ! [V_A_2,T_a] : c_Fun_Oinj__on(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Orev(T_a),V_A_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__concat,axiom,
% 149.08/148.73 ! [V_xs_2,V_p_2,T_a] : hAPP(c_List_Ofilter(T_a,V_p_2),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Ofilter(T_a,V_p_2)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__singleton__conv,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a))
% 149.08/148.73 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_singleton__rev__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) = hAPP(c_List_Orev(T_a),V_xs_2)
% 149.08/148.73 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Olist_ONil(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nil__eq__concat__conv,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] :
% 149.08/148.73 ( c_List_Olist_ONil(T_a) = c_List_Oconcat(T_a,V_xss_2)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 149.08/148.73 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__eq__Nil__conv,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] :
% 149.08/148.73 ( c_List_Oconcat(T_a,V_xss_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)))
% 149.08/148.73 => B_x = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev_Osimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat_Osimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nil__is__rev__conv,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olist_ONil(T_a) = hAPP(c_List_Orev(T_a),V_xs_2)
% 149.08/148.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__is__Nil__conv,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat_Osimps_I2_J,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__concat,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),c_List_Oconcat(T_a,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Orev(T_a)),hAPP(c_List_Orev(tc_List_Olist(T_a)),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__concat,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_a)),hAPP(c_List_Omap(T_b,T_a),V_f_2)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__foldl__cons,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__conv__foldl,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] : c_List_Oconcat(T_a,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_xss_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__conv__concat,axiom,
% 149.08/148.73 ! [V_xss_2,V_xs_2,T_a] : hAPP(c_List_Ofoldl(tc_List_Olist(T_a),tc_List_Olist(T_a),c_List_Oappend(T_a),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_Oconcat(T_a,V_xss_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__append,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__append,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__rev,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Orev(T_a),V_xs_2)))
% 149.08/148.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__rev,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__is__rev__conv,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(c_List_Orev(T_a),V_ys_2)
% 149.08/148.73 <=> V_xs_2 = V_ys_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__swap,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = V_ys_2
% 149.08/148.73 <=> V_xs_2 = hAPP(c_List_Orev(T_a),V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__rev__ident,axiom,
% 149.08/148.73 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsum__rev,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( class_Groups_Ocomm__monoid__add(T_a)
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldr__foldl,axiom,
% 149.08/148.73 ! [V_a_2,V_xs_2,V_f_2,T_a,T_b] : c_List_Ofoldr(T_b,T_a,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_a,T_b,hAPP(c_COMBC(T_b,T_a,T_a),V_f_2),V_a_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__foldr,axiom,
% 149.08/148.73 ! [V_xs_2,V_a_2,V_f_2,T_b,T_a] : hAPP(c_List_Ofoldl(T_a,T_b,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_a),V_f_2),hAPP(c_List_Orev(T_b),V_xs_2),V_a_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__rev,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__rev,axiom,
% 149.08/148.73 ! [V_ys,T_b,V_xs,T_a] :
% 149.08/148.73 ( 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)
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),hAPP(c_List_Orev(T_a),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__eq__Cons__iff,axiom,
% 149.08/148.73 ! [V_ys_2,V_y_2,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Orev(T_a),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 149.08/148.73 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),c_List_Olist_ONil(T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev_Osimps_I2_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__concat,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oconcat(T_a,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xss_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__concat,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oconcat(T_a,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)),c_List_Oset(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_last__rev,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__rev,axiom,
% 149.08/148.73 ! [T_a,V_xs] :
% 149.08/148.73 ( V_xs != c_List_Olist_ONil(T_a)
% 149.08/148.73 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__transpose,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__take,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__drop,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rotate__rev,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Osimps_I3_J,axiom,
% 149.08/148.73 ! [V_xss_2,V_xs_2,V_x_2,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__nth,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_n] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__eq__concat__iff,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 149.08/148.73 => ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 149.08/148.73 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__injective,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Oconcat(T_a,V_xs_2) = c_List_Oconcat(T_a,V_ys_2)
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),V_ys_2)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_xs_2),V_ys_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_a),tc_Nat_Onat),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),tc_List_Olist(T_a)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),B_x)) )
% 149.08/148.73 => V_xs_2 = V_ys_2 ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_rev__update,axiom,
% 149.08/148.73 ! [V_y,V_xs,T_a,V_k] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => 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) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__map__singleton,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(hAPP(c_COMBB(T_a,tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_b),c_List_Olist_OCons(T_a)),V_f_2)),c_List_Olist_ONil(T_a))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__rev__nth__mono,axiom,
% 149.08/148.73 ! [V_j,V_i,V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 149.08/148.73 => ( 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)))
% 149.08/148.73 => 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))) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldr__max__sorted,axiom,
% 149.08/148.73 ! [V_y_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs_2))
% 149.08/148.73 => ( ( V_xs_2 = c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = V_y_2 )
% 149.08/148.73 & ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => c_List_Ofoldr(T_a,T_a,c_Orderings_Oord__class_Omax(T_a),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose_Opsimps_I3_J,axiom,
% 149.08/148.73 ! [V_xss_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_a)),c_List_Otranspose__rel(T_a)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)))
% 149.08/148.73 => c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_Olist__case(tc_List_Olist(T_a),T_a,c_List_Olist_ONil(T_a),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),T_a),c_COMBK(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)),c_List_Olist_ONil(T_a))))),V_xss_2)))),c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2))))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__transpose__sorted,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 149.08/148.73 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_a))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 149.08/148.73 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_a))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_List_Otranspose(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__column__length,axiom,
% 149.08/148.73 ! [V_i_2,V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 149.08/148.73 => ( 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_a))),V_xs_2)))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),c_List_Otranspose(T_a,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_i_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__aux__filter__tail,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] : c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_a)),T_a,c_List_Olist_ONil(tc_List_Olist(T_a)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),T_a),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_List_Olist_OCons(tc_List_Olist(T_a))),c_List_Olist_ONil(tc_List_Olist(T_a)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Otl(T_a)),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a)))),V_xss_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__nth__transpose__sorted,axiom,
% 149.08/148.73 ! [V_j_2,V_i_2,V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 149.08/148.73 => ( 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_a))),c_List_Otranspose(T_a,V_xs_2))))
% 149.08/148.73 => ( 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_a))),hAPP(c_List_Ofilter(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_a)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_xs_2))))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),c_List_Otranspose(T_a,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_a)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transpose__transpose,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_a))),V_xs_2)))
% 149.08/148.73 => c_List_Otranspose(T_a,c_List_Otranspose(T_a,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_a)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_a))),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 149.08/148.73 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OtakeWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__takeWhile__fst,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Ofst(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__takeWhile__snd,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),c_List_OtakeWhile(T_b,V_P_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_a,T_b),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_a,T_b),V_P_2),c_Product__Type_Osnd(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__eq__all__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = V_xs_2
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__takeWhileD,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__takeWhile__le,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,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_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__eq__take,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__takeWhile,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__tail,axiom,
% 149.08/148.73 ! [V_l_2,V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_l_2))) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : c_List_OtakeWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__takeWhile,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_a) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_return__list__def,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__append1,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_a,V_P_2,V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_nth__length__takeWhile,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__nth,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_j_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__upds__def,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_m_2,T_b,T_a] : c_Map_Omap__upds(T_a,T_b,V_m_2,V_xs_2,V_ys_2) = c_Map_Omap__add(T_a,T_b,V_m_2,hAPP(c_Map_Omap__of(T_a,T_b),hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__not__last,axiom,
% 149.08/148.73 ! [T_a,V_xs_2] :
% 149.08/148.73 ( V_xs_2 != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),c_List_Olast(T_a,V_xs_2))),V_xs_2) = c_List_Obutlast(T_a,V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 149.08/148.73 ! [V_t_2,V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)))
% 149.08/148.73 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(T_a,tc_HOL_Obool,T_b),hAPP(c_Orderings_Oord__class_Oless(T_a),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 149.08/148.73 ! [V_l] :
% 149.08/148.73 ( c_List_Onat__list(V_l)
% 149.08/148.73 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__remdups__concat,axiom,
% 149.08/148.73 ! [V_xss_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,c_List_Oconcat(T_a,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xss_2)),c_List_Oset(T_a))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__remdups,axiom,
% 149.08/148.73 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__remdups__leq,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__map__remdups,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Oremdups(T_b,V_xs_2))) = c_List_Oremdups(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__remdups,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__remdups,axiom,
% 149.08/148.73 ! [V_l,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups_Osimps_I1_J,axiom,
% 149.08/148.73 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__eq__nil__right__iff,axiom,
% 149.08/148.73 ! [V_x_2,T_a] :
% 149.08/148.73 ( c_List_Olist_ONil(T_a) = c_List_Oremdups(T_a,V_x_2)
% 149.08/148.73 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__eq__nil__iff,axiom,
% 149.08/148.73 ! [V_x_2,T_a] :
% 149.08/148.73 ( c_List_Oremdups(T_a,V_x_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> V_x_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__remdups__id,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__id__iff__distinct,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( c_List_Oremdups(T_a,V_xs_2) = V_xs_2
% 149.08/148.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remove1__remdups,axiom,
% 149.08/148.73 ! [V_x,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => 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)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__remdups__eq,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)
% 149.08/148.73 <=> c_List_Oremdups(T_a,V_xs_2) = V_xs_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__remdups,axiom,
% 149.08/148.73 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : c_List_Oremdups(T_a,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Oremdups(T_a,V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_embed__list__def,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_remdups_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_Oremdups(T_a,V_xs_2) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oremdups(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),c_List_Oremdups(T_a,V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__remdups__card__conv,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 149.08/148.73 ! [V_xs_2,V_y_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( c_Finite__Set_Ofun__left__comm(T_a,T_b,V_f_2)
% 149.08/148.73 => hAPP(hAPP(c_Finite__Set_Ofold(T_a,T_b,V_f_2),V_y_2),hAPP(c_List_Oset(T_a),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_f_2),V_y_2),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__neq__rev,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Otl(T_a),c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__neq__rev,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_OdropWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_a),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),hAPP(c_List_Orev(T_a),c_List_OtakeWhile(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBC(T_a,T_a,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__dropWhile__id,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),c_List_OdropWhile(T_a,V_P_2,V_xs_2)) = V_xs_2 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__map,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_OdropWhile(T_b,hAPP(c_Fun_Ocomp(T_a,tc_HOL_Obool,T_b,V_P_2),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__dropWhile__le,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,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_OdropWhile(T_a,V_P_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__dropWhile,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__dropWhile,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_OdropWhile(T_a,V_P_2,V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = c_List_OdropWhile(T_a,V_P_2,V_xs_2) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_hd__dropWhile,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) != c_List_Olist_ONil(T_a)
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,hAPP(c_List_Ohd(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = c_List_Olist_ONil(T_a)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__append1,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_ys_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 149.08/148.73 ! [V_ys_2,V_y_2,V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2)
% 149.08/148.73 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y_2),V_ys_2))
% 149.08/148.73 & ~ hBOOL(hAPP(V_P_2,V_y_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__eq__drop,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : c_List_OdropWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2))),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__nth,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a,V_j_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 149.08/148.73 => hAPP(hAPP(c_List_Onth(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_a),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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsum__map__filter,axiom,
% 149.08/148.73 ! [V_f_2,V_P_2,V_xs_2,T_a,T_b] :
% 149.08/148.73 ( class_Groups_Omonoid__add(T_b)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => ( ~ hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.73 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_b) ) )
% 149.08/148.73 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__nth__monoI,axiom,
% 149.08/148.73 ! [V_xs,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( ! [B_i,B_j] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 149.08/148.73 => ( 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)))
% 149.08/148.73 => 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))) ) )
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_n__lists_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] : c_Enum_On__lists(T_a,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_a),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_List_Omap(T_a,tc_List_Olist(T_a))),hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_OCons(T_a)))),V_xs_2)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition__filter__conv,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a] : c_List_Opartition(T_a,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Ofilter(T_a,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_f_2)),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition__filter1,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__n__lists,axiom,
% 149.08/148.73 ! [V_n,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__n__lists,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__n__lists__elem,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,V_ys_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_ys_2),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2))))
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = V_n_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition__P,axiom,
% 149.08/148.73 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_yes_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_no_2)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_n__lists_Osimps_I1_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_n__lists__Nil,axiom,
% 149.08/148.73 ! [T_a,V_n] :
% 149.08/148.73 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => 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))) )
% 149.08/148.73 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 149.08/148.73 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_P_2,T_a] : c_List_Opartition(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_a),tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBS(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_List_Olist(T_a),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),hAPP(c_If(tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(V_P_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_List_Olist(T_a)),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a))),hAPP(c_List_Olist_OCons(T_a),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),tc_fun(tc_fun(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_fun(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)))),tc_List_Olist(T_a)),c_COMBB(tc_List_Olist(T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a)),tc_List_Olist(T_a))),c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)))),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_List_Opartition(T_a,V_P_2,V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition__filter2,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Opartition(T_a,V_P_2,V_xs_2)) = hAPP(c_List_Ofilter(T_a,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_a,c_fNot),V_P_2)),V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_partition__set,axiom,
% 149.08/148.73 ! [V_no_2,V_yes_2,V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Opartition(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_a),tc_List_Olist(T_a)),V_yes_2),V_no_2)
% 149.08/148.73 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_yes_2)),hAPP(c_List_Oset(T_a),V_no_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__n__lists,axiom,
% 149.08/148.73 ! [V_xs_2,V_n_2,T_a] : hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,V_xs_2)) = hAPP(c_Set_OCollect(tc_List_Olist(T_a)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_a),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_a)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),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_a)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_a)))),V_n_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_a)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool))),c_List_Oset(T_a))),hAPP(c_List_Oset(T_a),V_xs_2)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublists__powset,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] : hAPP(c_Set_Oimage(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool),c_List_Oset(T_a)),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_Osublists(T_a,V_xs_2))) = hAPP(c_Set_OPow(T_a),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__sublists,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__set__sublists,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_a),tc_fun(T_a,tc_HOL_Obool)),c_List_Oset(T_a)),c_Enum_Osublists(T_a,V_xs_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublists_Osimps_I1_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sublists_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] : c_Enum_Osublists(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_a)),tc_fun(tc_List_Olist(tc_List_Olist(T_a)),tc_List_Olist(tc_List_Olist(T_a))),tc_List_Olist(tc_List_Olist(T_a))),c_List_Oappend(tc_List_Olist(T_a))),hAPP(c_List_Omap(tc_List_Olist(T_a),tc_List_Olist(T_a)),hAPP(c_List_Olist_OCons(T_a),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_a))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_product_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_x_2,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_a,T_b)),hAPP(c_Product__Type_OPair(T_a,T_b),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__the__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : c_Enum_Oenum__the(T_a,V_P_2) = c_HOL_OThe(T_a,V_P_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_product_Osimps_I1_J,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__product,axiom,
% 149.08/148.73 ! [V_ys,T_b,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_product__list__set,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_b,T_a] : hAPP(c_List_Oset(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_a,T_b),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_List_Oset(T_b),V_ys_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__of__zip__enum__inject,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Enum_Oenum__class_Oenum(T_b))
% 149.08/148.73 => ( hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_xs_2))) = hAPP(c_Fun_Ocomp(tc_Option_Ooption(T_a),T_a,T_b,c_Option_Othe(T_a)),hAPP(c_Map_Omap__of(T_b,T_a),hAPP(hAPP(c_List_Ozip(T_b,T_a),c_Enum_Oenum__class_Oenum(T_b)),V_ys_2)))
% 149.08/148.73 => V_xs_2 = V_ys_2 ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sort__foldl__insort,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_a),T_a,hAPP(c_COMBC(T_a,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olinorder__class_Oinsort__key(T_a,T_a,c_COMBI(T_a))),c_List_Olist_ONil(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__distinct,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__sort,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)))
% 149.08/148.73 <=> hBOOL(hAPP(c_List_Odistinct(T_a),V_xs_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__option__def,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => c_Enum_Oenum__class_Oenum(tc_Option_Ooption(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_Option_Ooption(T_a)),c_Option_Ooption_ONone(T_a)),hAPP(hAPP(c_List_Omap(T_a,tc_Option_Ooption(T_a)),c_Option_Ooption_OSome(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__prod__def,axiom,
% 149.08/148.73 ! [T_b,T_a] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_a)
% 149.08/148.73 & class_Enum_Oenum(T_b) )
% 149.08/148.73 => c_Enum_Oenum__class_Oenum(tc_prod(T_a,T_b)) = c_Enum_Oproduct(T_a,T_b,c_Enum_Oenum__class_Oenum(T_a),c_Enum_Oenum__class_Oenum(T_b)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__enum,axiom,
% 149.08/148.73 ! [V_x_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__UNIV,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) = c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_UNIV__enum,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)) = hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__sort,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => hAPP(c_List_Oset(T_a),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_a),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__sort,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sort__key__simps_I1_J,axiom,
% 149.08/148.73 ! [V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__sort,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__sort,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,V_P_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => hAPP(c_List_Ofilter(T_a,V_P_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__sort__key,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Omap(T_b,T_a),V_f_2),c_List_Olinorder__class_Osort__key(T_b,T_a,V_f_2,V_xs_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sort__key__simps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_a,T_b,V_f_2,V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__fun__def,axiom,
% 149.08/148.73 ! [T_b,T_a] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_a)
% 149.08/148.73 & class_Enum_Oenum(T_b) )
% 149.08/148.73 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__fun__code,axiom,
% 149.08/148.73 ! [T_b,T_a] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_a)
% 149.08/148.73 & class_HOL_Oequal(T_a)
% 149.08/148.73 & class_Enum_Oenum(T_b) )
% 149.08/148.73 => c_Enum_Oenum__class_Oenum(tc_fun(T_a,T_b)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_a,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),c_Enum_On__lists(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a)),c_Enum_Oenum__class_Oenum(T_b))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => c_List_Olinorder__class_Osorted__list__of__set(T_a,hAPP(c_List_Oset(T_a),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_a,T_a,c_COMBI(T_a),c_List_Oremdups(T_a,V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_all__n__lists__def,axiom,
% 149.08/148.73 ! [V_n_2,V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( c_Enum_Oall__n__lists(T_a,V_P_2,V_n_2)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_ex__n__lists__def,axiom,
% 149.08/148.73 ! [V_n_2,V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( c_Enum_Oex__n__lists(T_a,V_P_2,V_n_2)
% 149.08/148.73 <=> ? [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n_2,c_Enum_Oenum__class_Oenum(T_a)))))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,B_x)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__all__fun__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__ex__fun__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_all__code,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 149.08/148.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_exists__code,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1))
% 149.08/148.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__all,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),V_P_2))
% 149.08/148.73 <=> ! [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__ex,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),V_P_2))
% 149.08/148.73 <=> ? [B_x1] : hBOOL(hAPP(V_P_2,B_x1)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__ex__option__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_Option_Ooption(T_a)),V_P_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 149.08/148.73 | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__all__option__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_Option_Ooption(T_a)),V_P_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(V_P_2,c_Option_Ooption_ONone(T_a)))
% 149.08/148.73 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_Option_Ooption(T_a),tc_HOL_Obool,T_a),V_P_2),c_Option_Ooption_OSome(T_a)))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__all__prod__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__all(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__ex__prod__def,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_a),c_Enum_Oenum__class_Oenum__ex(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_HOL_Obool,T_b),V_P_2)),c_Product__Type_OPair(T_a,T_b))))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_order__fun_I1_J,axiom,
% 149.08/148.73 ! [V_g_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Orderings_Oorder(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 149.08/148.73 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_a),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_Orderings_Oord__class_Oless__eq(T_b)),V_f_2)),V_g_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_order__fun_I2_J,axiom,
% 149.08/148.73 ! [V_g_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Orderings_Oorder(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 149.08/148.73 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_a),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(hAPP(c_COMBS(T_a,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_a),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__ex__fun__code,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a)
% 149.08/148.73 & class_HOL_Oequal(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_fun(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> c_Enum_Oex__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_enum__all__fun__code,axiom,
% 149.08/148.73 ! [V_P_2,T_a,T_b] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a)
% 149.08/148.73 & class_HOL_Oequal(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_fun(T_a,T_b)),V_P_2))
% 149.08/148.73 <=> c_Enum_Oall__n__lists(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_a,T_b),tc_HOL_Obool,tc_List_Olist(T_b)),V_P_2),hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_Option_Ooption(T_b)),tc_fun(T_a,T_b),tc_List_Olist(T_b)),c_Fun_Ocomp(tc_Option_Ooption(T_b),T_b,T_a,c_Option_Othe(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_prod(T_a,T_b)),tc_fun(T_a,tc_Option_Ooption(T_b)),tc_List_Olist(T_b)),c_Map_Omap__of(T_a,T_b)),hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a))))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__of__zip__enum__is__Some,axiom,
% 149.08/148.73 ! [V_x,V_ys,T_b,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_Enum_Oenum__class_Oenum(T_a))
% 149.08/148.73 => ? [B_y] : hAPP(hAPP(c_Map_Omap__of(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),c_Enum_Oenum__class_Oenum(T_a)),V_ys)),V_x) = hAPP(c_Option_Ooption_OSome(T_b),B_y) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__eq__filter,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_List_OdropWhile(T_a,V_P_2,V_xs_2))))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 149.08/148.73 ( ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) ) )
% 149.08/148.73 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) )
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__takeWhile__less__P__nth,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_P_2,V_j_2] :
% 149.08/148.73 ( ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 149.08/148.73 => ( 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_a)),V_xs_2)))
% 149.08/148.73 => 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_a)),c_List_OtakeWhile(T_a,V_P_2,V_xs_2)))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__Int__eq,axiom,
% 149.08/148.73 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_a),tc_fun(tc_List_Olist(T_a),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_a))),c_List_Olists(T_a,V_B_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lists__IntI,axiom,
% 149.08/148.73 ! [V_B_2,V_A_2,V_l_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_A_2)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_l_2),c_List_Olists(T_a,V_B_2)))
% 149.08/148.73 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_B_2))),V_l_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp_ONil,axiom,
% 149.08/148.73 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp__infI,axiom,
% 149.08/148.73 ! [V_B_2,V_l_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_l_2))
% 149.08/148.73 => ( hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_l_2))
% 149.08/148.73 => hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp__inf__eq,axiom,
% 149.08/148.73 ! [V_B_2,V_A_2,T_a] : c_List_Olistsp(T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp__conj__eq,axiom,
% 149.08/148.73 ! [V_x_2,V_B_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_x_2))
% 149.08/148.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_B_2),V_x_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp_Oequations_I1_J,axiom,
% 149.08/148.73 ! [V_A_2,T_a] : hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),c_List_Olist_ONil(T_a))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__listsp__conv__set,axiom,
% 149.08/148.73 ! [V_xs_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_append__in__listsp__conv,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_xs_2))
% 149.08/148.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_ys_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp_Oequations_I2_J,axiom,
% 149.08/148.73 ! [V_a2_2,V_a1_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a1_2),V_a2_2)))
% 149.08/148.73 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 149.08/148.73 & hBOOL(hAPP(c_List_Olistsp(T_a,V_A_2),V_a2_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp__mono,axiom,
% 149.08/148.73 ! [V_B_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_a,tc_HOL_Obool)),V_A_2),V_B_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_a),tc_HOL_Obool)),c_List_Olistsp(T_a,V_A_2)),c_List_Olistsp(T_a,V_B_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_listsp__lists__eq,axiom,
% 149.08/148.73 ! [V_x_2,V_A_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Olistsp(T_a,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_a,tc_HOL_Obool),tc_HOL_Obool),c_member(T_a)),V_A_2)),V_x_2))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),V_x_2),c_List_Olists(T_a,V_A_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__def,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted_Osimps,axiom,
% 149.08/148.73 ! [V_a_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_a_2)
% 149.08/148.73 <=> ( V_a_2 = c_List_Olist_ONil(T_a)
% 149.08/148.73 | ? [B_xs,B_x] :
% 149.08/148.73 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_a),B_x),B_xs)
% 149.08/148.73 & ! [B_xa] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_xa),hAPP(c_List_Oset(T_a),B_xs)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),B_x),B_xa)) )
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,B_xs) ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__Cons,axiom,
% 149.08/148.73 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 149.08/148.73 & c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__map2,axiom,
% 149.08/148.73 ! [V_bs_2,V_f_2,T_c,V_as_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_bs_2))
% 149.08/148.73 <=> c_List_Olist__all2(T_a,T_c,hAPP(hAPP(c_COMBC(T_a,tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(T_c,tc_HOL_Obool)),T_a),c_COMBB(T_b,tc_HOL_Obool,T_c)),V_P_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__map1,axiom,
% 149.08/148.73 ! [V_bs_2,V_as_2,V_f_2,T_c,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Omap(T_c,T_a),V_f_2),V_as_2),V_bs_2)
% 149.08/148.73 <=> c_List_Olist__all2(T_c,T_b,hAPP(hAPP(c_COMBB(T_a,tc_fun(T_b,tc_HOL_Obool),T_c),V_P_2),V_f_2),V_as_2,V_bs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__appendI,axiom,
% 149.08/148.73 ! [V_d_2,V_ca_2,V_b_2,V_a_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2)
% 149.08/148.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_ca_2,V_d_2)
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_a_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_b),V_b_2),V_d_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__append,axiom,
% 149.08/148.73 ! [V_vs_2,V_us_2,V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))
% 149.08/148.73 <=> ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 & c_List_Olist__all2(T_a,T_b,V_P_2,V_us_2,V_vs_2) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__rev,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),hAPP(c_List_Orev(T_b),V_ys_2))
% 149.08/148.73 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__rev1,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2),V_ys_2)
% 149.08/148.73 <=> c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,hAPP(c_List_Orev(T_b),V_ys_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__nthD2,axiom,
% 149.08/148.73 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => ( 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_ys_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__nthD,axiom,
% 149.08/148.73 ! [V_p_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),V_p_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__conv__all__nth,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 149.08/148.73 & ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__Nil,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,c_List_Olist_ONil(T_a),V_ys_2)
% 149.08/148.73 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__Nil2,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,c_List_Olist_ONil(T_b))
% 149.08/148.73 <=> V_xs_2 = c_List_Olist_ONil(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__takeI,axiom,
% 149.08/148.73 ! [V_n_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Otake(T_a),V_n_2),V_xs_2),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_ys_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__dropI,axiom,
% 149.08/148.73 ! [V_n_2,V_bs_2,V_as_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_as_2,V_bs_2)
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Odrop(T_a),V_n_2),V_as_2),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_bs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__lengthD,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__eq,axiom,
% 149.08/148.73 ! [T_a,V_ys_2,V_xs_2] :
% 149.08/148.73 ( V_xs_2 = V_ys_2
% 149.08/148.73 <=> c_List_Olist__all2(T_a,T_a,c_fequal,V_xs_2,V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__update__cong,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,V_ys_2,V_P_2,T_b,V_xs_2,T_a,V_i_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__update__cong2,axiom,
% 149.08/148.73 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_P_2,T_b,T_a] :
% 149.08/148.73 ( c_List_Olist__all2(T_a,T_b,V_P_2,V_xs_2,V_ys_2)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(V_P_2,V_x_2),V_y_2))
% 149.08/148.73 => ( 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_ys_2)))
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,hAPP(hAPP(c_List_Olist__update(T_a,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_b,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2I,axiom,
% 149.08/148.73 ! [V_P_2,V_b_2,V_a_2,T_b,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_a_2),V_b_2))))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_b,tc_HOL_Obool),V_P_2),B_x)) )
% 149.08/148.73 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_all__nth__imp__all__set,axiom,
% 149.08/148.73 ! [V_x_2,V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_i] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_i))) )
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,V_x_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__removeAll__inj__on,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_List_Oinsert__def,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 )
% 149.08/148.73 & ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll_Osimps_I2_J,axiom,
% 149.08/148.73 ! [V_xs,T_a,V_y,V_x] :
% 149.08/148.73 ( ( V_x = V_y
% 149.08/148.73 => 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) )
% 149.08/148.73 & ( V_x != V_y
% 149.08/148.73 => 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)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__removeAll,axiom,
% 149.08/148.73 ! [V_x,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__insert,axiom,
% 149.08/148.73 ! [V_x,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll__append,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll__id,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2) = V_xs_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll__filter__not,axiom,
% 149.08/148.73 ! [V_xs_2,T_a,V_x_2,V_P_2] :
% 149.08/148.73 ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => hAPP(c_List_OremoveAll(T_a,V_x_2),hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2)) = hAPP(c_List_Ofilter(T_a,V_P_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_removeAll__filter__not__eq,axiom,
% 149.08/148.73 ! [V_x_2,T_a] : c_List_OremoveAll(T_a,V_x_2) = c_List_Ofilter(T_a,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_insert__remdups,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__remove1__removeAll,axiom,
% 149.08/148.73 ! [V_x,V_xs,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 149.08/148.73 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__insert,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = V_xs_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_List_Oset__insert,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),c_List_Oinsert(T_a,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_insert__Nil,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__removeAll__inj,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_b,T_a] :
% 149.08/148.73 ( c_Fun_Oinj__on(T_a,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_a,tc_HOL_Obool)))
% 149.08/148.73 => hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_b,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_a,T_b),V_f_2),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_set__removeAll,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] : hAPP(c_List_Oset(T_a),hAPP(c_List_OremoveAll(T_a,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_a),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_not__in__set__insert,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => c_List_Oinsert(T_a,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_concat__map__maps,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_b,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) = c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_maps__def,axiom,
% 149.08/148.73 ! [V_xs_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,V_xs_2) = c_List_Oconcat(T_a,hAPP(hAPP(c_List_Omap(T_b,tc_List_Olist(T_a)),V_f_2),V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_maps__simps_I2_J,axiom,
% 149.08/148.73 ! [V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_maps__simps_I1_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_f_2,T_a,T_b] : c_List_Omaps(T_b,T_a,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_b,T_a,V_f_2,V_xs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_distinct__concat,axiom,
% 149.08/148.73 ! [V_xs_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),V_xs_2))
% 149.08/148.73 => ( ! [B_ys] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),B_ys)) )
% 149.08/148.73 => ( ! [B_ys] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ! [B_zs] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_a)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ( B_ys != B_zs
% 149.08/148.73 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_HOL_Obool)),hAPP(c_List_Oset(T_a),B_ys)),hAPP(c_List_Oset(T_a),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool)) ) ) )
% 149.08/148.73 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oconcat(T_a,V_xs_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measures__lesseq,axiom,
% 149.08/148.73 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_wf__measures,axiom,
% 149.08/148.73 ! [V_fs_2,T_a] : c_Wellfounded_Owf(T_a,c_List_Omeasures(T_a,V_fs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__measures_I1_J,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,T_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,c_List_Olist_ONil(tc_fun(T_a,tc_Nat_Onat))))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measures__def,axiom,
% 149.08/148.73 ! [V_fs_2,T_a] : c_List_Omeasures(T_a,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_a),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_a,tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_a,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_a),c_List_Omap(tc_fun(T_a,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_a,tc_Nat_Onat),T_a,tc_Nat_Onat),c_COMBI(tc_fun(T_a,tc_Nat_Onat))))),V_fs_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measures__less,axiom,
% 149.08/148.73 ! [V_fs_2,T_a,V_y_2,V_x_2,V_f_2] :
% 149.08/148.73 ( 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)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__measures_I2_J,axiom,
% 149.08/148.73 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_a,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 149.08/148.73 <=> ( 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)))
% 149.08/148.73 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 149.08/148.73 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_a,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_a),V_x_2),V_y_2)),c_List_Omeasures(T_a,V_fs_2))) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_foldl__apply,axiom,
% 149.08/148.73 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_b,T_c,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hAPP(c_Fun_Ocomp(T_c,T_c,T_b,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_h_2),hAPP(V_g_2,B_x)) )
% 149.08/148.73 => hAPP(c_List_Ofoldl(T_c,T_a,hAPP(c_COMBC(T_a,T_c,T_c),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_b,T_a,hAPP(c_COMBC(T_a,T_b,T_b),V_g_2),V_s_2),V_xs_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_zip__obtain__same__length,axiom,
% 149.08/148.73 ! [V_P_2,V_ys_2,T_b,V_xs_2,T_a] :
% 149.08/148.73 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)) = 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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_xs_2)),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_a)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2))),V_ys_2)))) )
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs_2),V_ys_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_map__of__eqI,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,T_b,T_a] :
% 149.08/148.73 ( hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2)) = hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_ys_2))
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),hAPP(hAPP(c_List_Omap(tc_prod(T_a,T_b),T_a),c_Product__Type_Ofst(T_a,T_b)),V_xs_2))))
% 149.08/148.73 => hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2),B_x) = hAPP(hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2),B_x) )
% 149.08/148.73 => hAPP(c_Map_Omap__of(T_a,T_b),V_xs_2) = hAPP(c_Map_Omap__of(T_a,T_b),V_ys_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pos__not__random__dseq__def,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_dropWhile__append2,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 => c_List_OdropWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_a,V_P_2,V_ys_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all2__all__nthI,axiom,
% 149.08/148.73 ! [V_P_2,V_b_2,T_b,V_a_2,T_a] :
% 149.08/148.73 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_b_2)
% 149.08/148.73 => ( ! [B_n] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_a_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_b_2),B_n))) )
% 149.08/148.73 => c_List_Olist__all2(T_a,T_b,V_P_2,V_a_2,V_b_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_finite__sorted__distinct__unique,axiom,
% 149.08/148.73 ! [V_A_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_A_2))
% 149.08/148.73 => ? [B_x] :
% 149.08/148.73 ( hAPP(c_List_Oset(T_a),B_x) = V_A_2
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,B_x)
% 149.08/148.73 & hBOOL(hAPP(c_List_Odistinct(T_a),B_x))
% 149.08/148.73 & ! [B_y] :
% 149.08/148.73 ( ( hAPP(c_List_Oset(T_a),B_y) = V_A_2
% 149.08/148.73 & c_List_Olinorder__class_Osorted(T_a,B_y)
% 149.08/148.73 & hBOOL(hAPP(c_List_Odistinct(T_a),B_y)) )
% 149.08/148.73 => B_y = B_x ) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_takeWhile__append2,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 => c_List_OtakeWhile(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),c_List_OtakeWhile(T_a,V_P_2,V_ys_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_insort__is__Cons,axiom,
% 149.08/148.73 ! [V_a_2,V_f_2,V_xs_2,T_a,T_b] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_b)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 149.08/148.73 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_a,T_b,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_2),V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Cons__eq__filter__iff,axiom,
% 149.08/148.73 ! [V_ys_2,V_P_2,V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2)
% 149.08/148.73 <=> ? [B_us,B_vs] :
% 149.08/148.73 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 & hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_filter__eq__Cons__iff,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_ys_2,V_P_2,T_a] :
% 149.08/148.73 ( hAPP(c_List_Ofilter(T_a,V_P_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)
% 149.08/148.73 <=> ? [B_us,B_vs] :
% 149.08/148.73 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_a),B_us),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_vs))
% 149.08/148.73 & ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),B_us)))
% 149.08/148.73 => ~ hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 & hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 & V_xs_2 = hAPP(c_List_Ofilter(T_a,V_P_2),B_vs) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ball__nth,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a,V_n_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),V_n_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_sorted_OCons,axiom,
% 149.08/148.73 ! [V_x_2,V_xs_2,T_a] :
% 149.08/148.73 ( class_Orderings_Olinorder(T_a)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x_2),B_x)) )
% 149.08/148.73 => ( c_List_Olinorder__class_Osorted(T_a,V_xs_2)
% 149.08/148.73 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__length,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ? [B_n] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__simps_I1_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 | c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__iff,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ? [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__rev,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 149.08/148.73 <=> c_List_Olist__ex(T_a,V_P_2,V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 149.08/148.73 <=> ( c_List_Olist__ex(T_a,V_P_2,V_xs_2)
% 149.08/148.73 | c_List_Olist__ex(T_a,V_P_2,V_ys_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex__simps_I2_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : ~ c_List_Olist__ex(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__conv__decomp__first,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 <=> ? [B_ys] :
% 149.08/148.73 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 149.08/148.73 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_ys))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__conv__decomp__last,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 <=> ? [B_ys,B_zs] :
% 149.08/148.73 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs))
% 149.08/148.73 & ~ hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),B_zs))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_in__set__conv__decomp,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),V_x_2),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_a),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),B_zs)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 149.08/148.73 ! [V_r_2,V_q_2,T_a] : c_Nitpick_Oplus__frac(T_a,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_a),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_a),V_q_2),hAPP(c_Nitpick_Odenom(T_a),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_a),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_a),tc_Int_Oint),c_Nitpick_Ofrac(T_a)),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_a),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_a),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_a),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_a),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Oof__frac__def,axiom,
% 149.08/148.73 ! [V_q,T_a,T_b] :
% 149.08/148.73 ( ( class_Rings_Oinverse(T_b)
% 149.08/148.73 & class_Rings_Oring__1(T_b) )
% 149.08/148.73 => 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))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Oless__frac__def,axiom,
% 149.08/148.73 ! [V_r_2,V_q_2,T_a] :
% 149.08/148.73 ( c_Nitpick_Oless__frac(T_a,V_q_2,V_r_2)
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 149.08/148.73 ! [V_r_2,V_q_2,T_a] :
% 149.08/148.73 ( c_Nitpick_Oless__eq__frac(T_a,V_q_2,V_r_2)
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),c_Nitpick_Oplus__frac(T_a,V_q_2,c_Nitpick_Ouminus__frac(T_a,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Onum__def,axiom,
% 149.08/148.73 ! [T_a] : c_Nitpick_Onum(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Nitpick_Odenom__def,axiom,
% 149.08/148.73 ! [T_a] : c_Nitpick_Odenom(T_a) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_a,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_setprod__pos,axiom,
% 149.08/148.73 ! [V_f_2,V_A_2,T_a,T_b] :
% 149.08/148.73 ( class_Rings_Olinordered__semidom(T_b)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__length,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ! [B_n] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_List_Onth(T_a),V_xs_2),B_n))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__simps_I2_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : c_List_Olist__all(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_Ball__set__list__all,axiom,
% 149.08/148.73 ! [V_P_2,V_xs_2,T_a] :
% 149.08/148.73 ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) )
% 149.08/148.73 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__append,axiom,
% 149.08/148.73 ! [V_ys_2,V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Oappend(T_a),V_xs_2),V_ys_2))
% 149.08/148.73 <=> ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 149.08/148.73 & c_List_Olist__all(T_a,V_P_2,V_ys_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__rev,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,hAPP(c_List_Orev(T_a),V_xs_2))
% 149.08/148.73 <=> c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__iff,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__simps_I1_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 149.08/148.73 <=> ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 & c_List_Olist__all(T_a,V_P_2,V_xs_2) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__all__iff__raw,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__all(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,B_x)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex1__simps_I2_J,axiom,
% 149.08/148.73 ! [V_xs_2,V_x_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex1(T_a,V_P_2,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x_2),V_xs_2))
% 149.08/148.73 <=> ( ( hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_Olist__all(T_a,hAPP(hAPP(c_COMBS(T_a,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_a),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot),V_P_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 149.08/148.73 & ( ~ hBOOL(hAPP(V_P_2,V_x_2))
% 149.08/148.73 => c_List_Olist__ex1(T_a,V_P_2,V_xs_2) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_internal__split__def,axiom,
% 149.08/148.73 ! [T_c,T_b,T_a] : c_Product__Type_Ointernal__split(T_a,T_b,T_c) = c_Product__Type_Oprod_Oprod__case(T_a,T_b,T_c) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_exists1__code,axiom,
% 149.08/148.73 ! [V_P_2,T_a] :
% 149.08/148.73 ( class_Enum_Oenum(T_a)
% 149.08/148.73 => ( ? [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.73 & ! [B_y] :
% 149.08/148.73 ( hBOOL(hAPP(V_P_2,B_y))
% 149.08/148.73 => B_y = B_x ) )
% 149.08/148.73 <=> c_List_Olist__ex1(T_a,V_P_2,c_Enum_Oenum__class_Oenum(T_a)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex1__simps_I1_J,axiom,
% 149.08/148.73 ! [V_P_2,T_a] : ~ c_List_Olist__ex1(T_a,V_P_2,c_List_Olist_ONil(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_internal__split__conv,axiom,
% 149.08/148.73 ! [V_b_2,V_a_2,V_ca_2,T_a,T_c,T_b] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_b,T_c,T_a),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_a_2),V_b_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_list__ex1__iff,axiom,
% 149.08/148.73 ! [V_xs_2,V_P_2,T_a] :
% 149.08/148.73 ( c_List_Olist__ex1(T_a,V_P_2,V_xs_2)
% 149.08/148.73 <=> ? [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,B_x))
% 149.08/148.73 & ! [B_y] :
% 149.08/148.73 ( ( hBOOL(hAPP(hAPP(c_member(T_a),B_y),hAPP(c_List_Oset(T_a),V_xs_2)))
% 149.08/148.73 & hBOOL(hAPP(V_P_2,B_y)) )
% 149.08/148.73 => B_y = B_x ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_setprod__nonneg,axiom,
% 149.08/148.73 ! [V_f_2,V_A_2,T_a,T_b] :
% 149.08/148.73 ( class_Rings_Olinordered__semidom(T_b)
% 149.08/148.73 => ( ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),V_A_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(V_f_2,B_x))) )
% 149.08/148.73 => 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__mult__class_Osetprod(T_a,T_b),V_f_2),V_A_2))) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_bool_Osize_I2_J,axiom,
% 149.08/148.73 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_bool_Osize_I1_J,axiom,
% 149.08/148.73 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_finite__less__ub,axiom,
% 149.08/148.73 ! [V_u_2,V_f_2] :
% 149.08/148.73 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 149.08/148.73 => 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)))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_finite__induct,axiom,
% 149.08/148.73 ! [V_P_2,V_F_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),V_F_2))
% 149.08/148.73 => ( hBOOL(hAPP(V_P_2,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_HOL_Obool))))
% 149.08/148.73 => ( ! [B_x,B_F] :
% 149.08/148.73 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_a),B_F))
% 149.08/148.73 => ( ~ hBOOL(hAPP(hAPP(c_member(T_a),B_x),B_F))
% 149.08/148.73 => ( hBOOL(hAPP(V_P_2,B_F))
% 149.08/148.73 => hBOOL(hAPP(V_P_2,hAPP(hAPP(c_Set_Oinsert(T_a),B_x),B_F))) ) ) )
% 149.08/148.73 => hBOOL(hAPP(V_P_2,V_F_2)) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measure__function__int,axiom,
% 149.08/148.73 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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equal__fun__def,axiom,
% 149.08/148.73 ! [V_g_2,V_f_2,T_a,T_b] :
% 149.08/148.73 ( ( class_HOL_Oequal(T_b)
% 149.08/148.73 & class_Enum_Oenum(T_a) )
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_fun(T_a,T_b)),V_f_2),V_g_2))
% 149.08/148.73 <=> ! [B_x] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_member(T_a),B_x),hAPP(c_List_Oset(T_a),c_Enum_Oenum__class_Oenum(T_a))))
% 149.08/148.73 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measure__size,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_Nat_Osize(T_a)
% 149.08/148.73 => c_FunDef_Ois__measure(T_a,c_Nat_Osize__class_Osize(T_a)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_is__measure_Osimps,axiom,
% 149.08/148.73 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_is__measure_Oequations,axiom,
% 149.08/148.73 ! [V_a_2,T_a] : c_FunDef_Ois__measure(T_a,V_a_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_is__measure_Ointros,axiom,
% 149.08/148.73 ! [V_f_2,T_a] : c_FunDef_Ois__measure(T_a,V_f_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__equal,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_HOL_Oequal(T_a)
% 149.08/148.73 => c_fequal = c_HOL_Oequal__class_Oequal(T_a) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equal__eq,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( class_HOL_Oequal(T_a)
% 149.08/148.73 => ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x_2),V_y_2))
% 149.08/148.73 <=> V_x_2 = V_y_2 ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equal__refl,axiom,
% 149.08/148.73 ! [V_x,T_a] :
% 149.08/148.73 ( class_HOL_Oequal(T_a)
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(T_a),V_x),V_x)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equal,axiom,
% 149.08/148.73 ! [T_a] :
% 149.08/148.73 ( class_HOL_Oequal(T_a)
% 149.08/148.73 => c_HOL_Oequal__class_Oequal(T_a) = c_fequal ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measure__fst,axiom,
% 149.08/148.73 ! [T_b,V_f_2,T_a] :
% 149.08/148.73 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 149.08/148.73 => c_FunDef_Ois__measure(tc_prod(T_a,T_b),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_a,T_b)),V_f_2),c_Product__Type_Ofst(T_a,T_b))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_measure__snd,axiom,
% 149.08/148.73 ! [T_b,V_f_2,T_a] :
% 149.08/148.73 ( c_FunDef_Ois__measure(T_a,V_f_2)
% 149.08/148.73 => c_FunDef_Ois__measure(tc_prod(T_b,T_a),hAPP(hAPP(c_COMBB(T_a,tc_Nat_Onat,tc_prod(T_b,T_a)),V_f_2),c_Product__Type_Osnd(T_b,T_a))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_transfer__morphism__int__nat,axiom,
% 149.08/148.73 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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 149.08/148.73 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 149.08/148.73 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.73 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_a) )
% 149.08/148.73 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.73 => hAPP(c_New__DSequence_Oneg__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I11_J,axiom,
% 149.08/148.73 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OMin)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I7_J,axiom,
% 149.08/148.73 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I10_J,axiom,
% 149.08/148.73 ! [V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OPls)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I4_J,axiom,
% 149.08/148.73 ! [V_k2] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I6_J,axiom,
% 149.08/148.73 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__number__of__int__code,axiom,
% 149.08/148.73 ! [V_l_2,V_k_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(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)))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I16_J,axiom,
% 149.08/148.73 ! [V_k2_2,V_k1_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I1_J,axiom,
% 149.08/148.73 hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I13_J,axiom,
% 149.08/148.73 ! [V_k2_2,V_k1_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_equal__int__def,axiom,
% 149.08/148.73 ! [V_l_2,V_k_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k_2),V_l_2))
% 149.08/148.73 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I15_J,axiom,
% 149.08/148.73 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1)),c_Int_OBit0(V_k2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I14_J,axiom,
% 149.08/148.73 ! [V_k2,V_k1] : ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1)),c_Int_OBit1(V_k2))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I9_J,axiom,
% 149.08/148.73 ! [V_k1_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OPls))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OPls)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I3_J,axiom,
% 149.08/148.73 ! [V_k2_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k2_2)))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),V_k2_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I12_J,axiom,
% 149.08/148.73 ! [V_k1_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OMin))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k1_2),c_Int_OMin)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I8_J,axiom,
% 149.08/148.73 ! [V_k2_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k2_2)))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),V_k2_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I2_J,axiom,
% 149.08/148.73 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__code_I5_J,axiom,
% 149.08/148.73 ~ hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_bool_Osize_I4_J,axiom,
% 149.08/148.73 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_bool_Osize_I3_J,axiom,
% 149.08/148.73 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Oneg__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 149.08/148.73 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Oneg__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_a))),V_f_2),V_i_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_eq__int__refl,axiom,
% 149.08/148.73 ! [V_k] : hBOOL(hAPP(hAPP(c_HOL_Oequal__class_Oequal(tc_Int_Oint),V_k),V_k)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_neg__bind__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),hAPP(hAPP(c_COMBC(T_b,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_a)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_size__code,axiom,
% 149.08/148.73 ! [V_xq_2,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),T_a),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)))),c_Groups_Oone__class_Oone(tc_Nat_Onat))))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lazy__sequence__size__code,axiom,
% 149.08/148.73 ! [V_xq_2,V_s_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2),V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_a,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_a),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),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_a),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_a),tc_Nat_Onat)),T_a),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_a),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_a),V_xq_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_seq__case,axiom,
% 149.08/148.73 ! [V_xq_2,V_g_2,V_f_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f_2,V_g_2,V_xq_2) = hAPP(c_Option_Ooption_Ooption__case(T_a,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),T_a),V_g_2)),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_yieldn__def,axiom,
% 149.08/148.73 ! [T_a] : c_Lazy__Sequence_Oyieldn(T_a) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_a),T_a,c_Lazy__Sequence_Oyield(T_a)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 149.08/148.73 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_a] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_a,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,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_a,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 149.08/148.73 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_b,T_a] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_a,T_b,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lazy__sequence_Oinject,axiom,
% 149.08/148.73 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_a] :
% 149.08/148.73 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H_2,V_lazy__sequence_H_2)
% 149.08/148.73 <=> ( V_a_2 = V_a_H_2
% 149.08/148.73 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact__01,axiom,
% 149.08/148.73 ! [V_xq,V_x,T_a] : hAPP(c_Lazy__Sequence_Oyield(T_a),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq)) = hAPP(c_Option_Ooption_OSome(tc_prod(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a))),hAPP(hAPP(c_Product__Type_OPair(T_a,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_x),V_xq)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_neg__map__def,axiom,
% 149.08/148.73 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Oneg__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Oneg__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a)))))),T_b,c_New__Random__Sequence_Oneg__single(T_a)),V_f_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 149.08/148.73 ! [V_f_2,V_x_2,T_a,T_b,V_i_2] :
% 149.08/148.73 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.73 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_a) )
% 149.08/148.73 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 149.08/148.73 => hAPP(c_New__DSequence_Opos__decr__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_b,T_a,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_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : c_New__Random__Sequence_Opos__decr__bind(T_b,T_a,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_neg__single__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_a,V_x_2) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 149.08/148.73 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pos__empty__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,T_a] : c_New__Random__Sequence_Opos__empty(T_a,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_a) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 149.08/148.73 ! [V_i_2,V_f_2,V_x_2,T_a,T_b] : hAPP(c_New__DSequence_Opos__bind(T_b,T_a,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Obind(T_b,T_a,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_b,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_a)),V_f_2),V_i_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pos__bind__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_a,T_b] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_b,T_a,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_b,T_a,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_b,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_a))),hAPP(hAPP(c_COMBC(T_b,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_a)))),hAPP(hAPP(c_COMBC(T_b,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_a))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_length__splice,axiom,
% 149.08/148.73 ! [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)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_splice__Nil2,axiom,
% 149.08/148.73 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 149.08/148.73
% 149.08/148.73 fof(fact_splice_Osimps_I1_J,axiom,
% 149.08/148.73 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 149.08/148.73
% 149.08/148.73 fof(fact_splice_Osimps_I3_J,axiom,
% 149.08/148.73 ! [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))) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_splice_Osimps_I2_J,axiom,
% 149.08/148.73 ! [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) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pos__map__def,axiom,
% 149.08/148.73 ! [V_P_2,V_f_2,T_a,T_b] : c_New__Random__Sequence_Opos__map(T_b,T_a,V_f_2,V_P_2) = c_New__Random__Sequence_Opos__bind(T_b,T_a,V_P_2,hAPP(c_Fun_Ocomp(T_a,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_a))))),T_b,c_New__Random__Sequence_Opos__single(T_a)),V_f_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_acyclicP__converse,axiom,
% 149.08/148.73 ! [V_r_2,T_a] :
% 149.08/148.73 ( c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),c_Predicate_Oconversep(T_a,T_a,V_r_2))))
% 149.08/148.73 <=> c_Wellfounded_Oacyclic(T_a,hAPP(c_Set_OCollect(tc_prod(T_a,T_a)),hAPP(c_Product__Type_Oprod_Oprod__case(T_a,T_a,tc_HOL_Obool),V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_converse__join,axiom,
% 149.08/148.73 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep__noteq,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_a,hAPP(hAPP(c_COMBB(tc_fun(T_a,tc_HOL_Obool),tc_fun(T_a,tc_HOL_Obool),T_a),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_a),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 149.08/148.73 <=> V_x_2 != V_y_2 ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep__eq,axiom,
% 149.08/148.73 ! [T_a] : c_Predicate_Oconversep(T_a,T_a,c_fequal) = c_fequal ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep__conversep,axiom,
% 149.08/148.73 ! [V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Oconversep(T_a,T_b,V_r_2)) = V_r_2 ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep__iff,axiom,
% 149.08/148.73 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep_Oequations,axiom,
% 149.08/148.73 ! [V_a1_2,V_a2_2,V_r_2,T_b,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a2_2),V_a1_2))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep_Ointros,axiom,
% 149.08/148.73 ! [T_b,T_a,V_b_2,V_a_2,V_r_2] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_b_2),V_a_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversepD,axiom,
% 149.08/148.73 ! [V_b_2,V_a_2,V_r_2,T_b,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,V_r_2),V_a_2),V_b_2))
% 149.08/148.73 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_converse__pred__comp,axiom,
% 149.08/148.73 ! [V_s_2,V_r_2,T_c,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,c_Predicate_Opred__comp(T_b,T_c,T_a,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_a,T_c,T_b,c_Predicate_Oconversep(T_c,T_a,V_s_2),c_Predicate_Oconversep(T_b,T_c,V_r_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_converse__meet,axiom,
% 149.08/148.73 ! [V_s_2,V_r_2,T_a,T_b] : c_Predicate_Oconversep(T_b,T_a,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_a,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_a,tc_fun(T_b,tc_HOL_Obool))),c_Predicate_Oconversep(T_b,T_a,V_r_2)),c_Predicate_Oconversep(T_b,T_a,V_s_2)) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_conversep__converse__eq,axiom,
% 149.08/148.73 ! [V_y_2,V_x_2,V_r_2,T_b,T_a] :
% 149.08/148.73 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_a,T_b,hAPP(hAPP(c_COMBC(T_a,tc_fun(tc_prod(T_a,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_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_a),c_COMBC(T_b,tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_a,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_a),hAPP(c_COMBB(tc_prod(T_a,T_b),tc_fun(tc_fun(tc_prod(T_a,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_a,T_b)))),c_Product__Type_OPair(T_a,T_b)))),V_r_2)),V_x_2),V_y_2))
% 149.08/148.73 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_a)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_a,T_b),V_r_2))) ) ).
% 149.08/148.73
% 149.08/148.73 fof(fact_pos__single__def,axiom,
% 149.08/148.73 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_a] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_a),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_a,V_x_2) ).
% 149.08/148.73
% 149.08/148.73 %----Arity declarations (233)
% 149.08/148.73 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 149.08/148.73 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Obounded__lattice(T_1)
% 149.08/148.73 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 149.08/148.73 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Obounded__lattice(T_1)
% 149.08/148.73 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Obounded__lattice(T_1)
% 149.08/148.73 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Olattice(T_1)
% 149.08/148.73 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Olattice(T_1)
% 149.08/148.73 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Odistrib__lattice(T_1)
% 149.08/148.73 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Oboolean__algebra(T_1)
% 149.08/148.73 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Orderings_Opreorder,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Orderings_Opreorder(T_1)
% 149.08/148.73 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 149.08/148.73 ! [T_1,T_2] :
% 149.08/148.73 ( ( class_Finite__Set_Ofinite(T_2)
% 149.08/148.73 & class_Finite__Set_Ofinite(T_1) )
% 149.08/148.73 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Lattices_Olattice,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Lattices_Olattice(T_1)
% 149.08/148.73 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Orderings_Oorder,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Orderings_Oorder(T_1)
% 149.08/148.73 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Orderings_Otop,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Orderings_Otop(T_1)
% 149.08/148.73 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Orderings_Oord,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Orderings_Oord(T_1)
% 149.08/148.73 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Orderings_Obot,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Orderings_Obot(T_1)
% 149.08/148.73 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Groups_Ouminus,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Groups_Ouminus(T_1)
% 149.08/148.73 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Groups_Ominus,axiom,
% 149.08/148.73 ! [T_2,T_1] :
% 149.08/148.73 ( class_Groups_Ominus(T_1)
% 149.08/148.73 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__HOL_Oequal,axiom,
% 149.08/148.73 ! [T_1,T_2] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_2)
% 149.08/148.73 & class_HOL_Oequal(T_1) )
% 149.08/148.73 => class_HOL_Oequal(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_fun__Enum_Oenum,axiom,
% 149.08/148.73 ! [T_1,T_2] :
% 149.08/148.73 ( ( class_Enum_Oenum(T_2)
% 149.08/148.73 & class_Enum_Oenum(T_1) )
% 149.08/148.73 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Com__Ocom__HOL_Oequal,axiom,
% 149.08/148.73 class_HOL_Oequal(tc_Com_Ocom) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 149.08/148.73 class_Nat_Osize(tc_Com_Ocom) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 149.08/148.73 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 149.08/148.73 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 149.08/148.73 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 149.08/148.73 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 149.08/148.73 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 149.08/148.73 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 149.08/148.73 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 149.08/148.73 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 149.08/148.73 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 149.08/148.73 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 149.08/148.73 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 149.08/148.73 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 149.08/148.73 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 149.08/148.73 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 149.08/148.73 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 149.08/148.73 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 149.08/148.73 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 149.08/148.73 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 149.08/148.73 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 149.08/148.73 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 149.08/148.73 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 149.08/148.73 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 149.08/148.73 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 149.08/148.73 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 149.08/148.73 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 149.08/148.73 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 149.08/148.73
% 149.08/148.73 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 149.08/148.73 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 149.08/148.74 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 149.08/148.74 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 149.08/148.74 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 149.08/148.74 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 149.08/148.74 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 149.08/148.74 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 149.08/148.74 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 149.08/148.74 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 149.08/148.74 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 149.08/148.74 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 149.08/148.74 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 149.08/148.74 class_Orderings_Opreorder(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 149.08/148.74 class_Orderings_Olinorder(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 149.08/148.74 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 149.08/148.74 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 149.08/148.74 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Smallcheck_Osmall,axiom,
% 149.08/148.74 class_Smallcheck_Osmall(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 149.08/148.74 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 149.08/148.74 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 149.08/148.74 class_Lattices_Olattice(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 149.08/148.74 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 149.08/148.74 class_Divides_Oring__div(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 149.08/148.74 class_Rings_Omult__zero(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 149.08/148.74 class_Orderings_Oorder(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 149.08/148.74 class_Int_Oring__char__0(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 149.08/148.74 class_Int_Onumber__ring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 149.08/148.74 class_Rings_Osemiring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 149.08/148.74 class_Orderings_Oord(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 149.08/148.74 class_Groups_Ouminus(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 149.08/148.74 class_Groups_Osgn__if(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 149.08/148.74 class_Groups_Oabs__if(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 149.08/148.74 class_Rings_Oring__1(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 149.08/148.74 class_Groups_Ominus(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Power_Opower,axiom,
% 149.08/148.74 class_Power_Opower(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 149.08/148.74 class_Groups_Ozero(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oring,axiom,
% 149.08/148.74 class_Rings_Oring(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 149.08/148.74 class_Rings_Oidom(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Int_Onumber,axiom,
% 149.08/148.74 class_Int_Onumber(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__Groups_Oone,axiom,
% 149.08/148.74 class_Groups_Oone(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Int__Oint__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Int_Oint) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 149.08/148.74 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 149.08/148.74 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 149.08/148.74 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 149.08/148.74 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 149.08/148.74 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 149.08/148.74 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 149.08/148.74 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 149.08/148.74 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 149.08/148.74 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 149.08/148.74 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 149.08/148.74 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 149.08/148.74 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 149.08/148.74 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 149.08/148.74 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 149.08/148.74 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 149.08/148.74 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 149.08/148.74 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 149.08/148.74 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 149.08/148.74 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 149.08/148.74 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 149.08/148.74 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 149.08/148.74 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 149.08/148.74 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 149.08/148.74 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 149.08/148.74 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 149.08/148.74 class_Lattices_Olattice(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 149.08/148.74 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 149.08/148.74 class_Orderings_Oorder(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 149.08/148.74 class_Rings_Osemiring(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 149.08/148.74 class_Orderings_Oord(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 149.08/148.74 class_Orderings_Obot(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 149.08/148.74 class_Groups_Ominus(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Power_Opower,axiom,
% 149.08/148.74 class_Power_Opower(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 149.08/148.74 class_Groups_Ozero(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 149.08/148.74 class_Int_Onumber(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 149.08/148.74 class_Groups_Oone(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Nat_Onat) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 149.08/148.74 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 149.08/148.74 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 149.08/148.74 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 149.08/148.74 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 149.08/148.74 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 149.08/148.74 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 149.08/148.74 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 149.08/148.74 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 149.08/148.74 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 149.08/148.74 class_Lattices_Olattice(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 149.08/148.74 class_Orderings_Oorder(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 149.08/148.74 class_Orderings_Otop(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 149.08/148.74 class_Orderings_Oord(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 149.08/148.74 class_Orderings_Obot(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 149.08/148.74 class_Groups_Ouminus(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 149.08/148.74 class_Groups_Ominus(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 149.08/148.74 class_Enum_Oenum(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_HOL_Obool) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Com__Ostate__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Com_Ostate) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Com_Ostate) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Com__Ovname__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Com_Ovname) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Com__Ovname__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Com_Ovname) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_List__Olist__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1] : class_HOL_Oequal(tc_List_Olist(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_List__Olist__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 149.08/148.74 ! [T_1,T_2] :
% 149.08/148.74 ( ( class_Finite__Set_Ofinite(T_2)
% 149.08/148.74 & class_Finite__Set_Ofinite(T_1) )
% 149.08/148.74 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_sum__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1,T_2] : class_HOL_Oequal(tc_sum(T_2,T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_sum__Enum_Oenum,axiom,
% 149.08/148.74 ! [T_1,T_2] :
% 149.08/148.74 ( ( class_Enum_Oenum(T_2)
% 149.08/148.74 & class_Enum_Oenum(T_1) )
% 149.08/148.74 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_sum__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 149.08/148.74 ! [T_1] :
% 149.08/148.74 ( class_Finite__Set_Ofinite(T_1)
% 149.08/148.74 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Option__Ooption__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1] : class_HOL_Oequal(tc_Option_Ooption(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 149.08/148.74 ! [T_1] :
% 149.08/148.74 ( class_Enum_Oenum(T_1)
% 149.08/148.74 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 149.08/148.74 ! [T_1,T_2] :
% 149.08/148.74 ( ( class_Finite__Set_Ofinite(T_2)
% 149.08/148.74 & class_Finite__Set_Ofinite(T_1) )
% 149.08/148.74 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_prod__Smallcheck_Osmall,axiom,
% 149.08/148.74 ! [T_1,T_2] :
% 149.08/148.74 ( ( class_Smallcheck_Osmall(T_2)
% 149.08/148.74 & class_Smallcheck_Osmall(T_1) )
% 149.08/148.74 => class_Smallcheck_Osmall(tc_prod(T_2,T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_prod__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1,T_2] : class_HOL_Oequal(tc_prod(T_2,T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_prod__Enum_Oenum,axiom,
% 149.08/148.74 ! [T_1,T_2] :
% 149.08/148.74 ( ( class_Enum_Oenum(T_2)
% 149.08/148.74 & class_Enum_Oenum(T_1) )
% 149.08/148.74 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_prod__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 149.08/148.74 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Product____Type__Ounit__Smallcheck_Osmall,axiom,
% 149.08/148.74 class_Smallcheck_Osmall(tc_Product__Type_Ounit) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Product____Type__Ounit__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Product__Type_Ounit) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 149.08/148.74 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Evaluation__Oterm__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Code__Evaluation_Oterm) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Hoare____Mirabelle__Otriple__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1] : class_HOL_Oequal(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 149.08/148.74 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 149.08/148.74 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 149.08/148.74 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 149.08/148.74 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 149.08/148.74 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 149.08/148.74 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 149.08/148.74 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 149.08/148.74 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 149.08/148.74 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 149.08/148.74 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 149.08/148.74 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 149.08/148.74 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 149.08/148.74 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 149.08/148.74 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 149.08/148.74 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 149.08/148.74 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 149.08/148.74 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 149.08/148.74 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 149.08/148.74 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 149.08/148.74 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 149.08/148.74 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 149.08/148.74 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 149.08/148.74 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 149.08/148.74 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 149.08/148.74 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 149.08/148.74 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 149.08/148.74 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 149.08/148.74 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 149.08/148.74 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 149.08/148.74 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 149.08/148.74 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 149.08/148.74 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__HOL_Oequal,axiom,
% 149.08/148.74 class_HOL_Oequal(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 149.08/148.74 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Lazy____Sequence__Olazy____sequence__HOL_Oequal,axiom,
% 149.08/148.74 ! [T_1] : class_HOL_Oequal(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 149.08/148.74
% 149.08/148.74 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 149.08/148.74 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 149.08/148.74
% 149.08/148.74 %----Helper facts (20)
% 149.08/148.74 fof(help_c__COMBI__1,axiom,
% 149.08/148.74 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__COMBK__1,axiom,
% 149.08/148.74 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__COMBB__1,axiom,
% 149.08/148.74 ! [V_R_2,V_Q_2,V_P_2,T_c,T_a,T_b] : hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P_2),V_Q_2),V_R_2) = hAPP(V_P_2,hAPP(V_Q_2,V_R_2)) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__COMBC__1,axiom,
% 149.08/148.74 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBC(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),V_Q_2) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__COMBS__1,axiom,
% 149.08/148.74 ! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fequal__1,axiom,
% 149.08/148.74 ! [V_y_2,V_x_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 149.08/148.74 | V_x_2 = V_y_2 ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fequal__2,axiom,
% 149.08/148.74 ! [V_y_2,V_x_2] :
% 149.08/148.74 ( V_x_2 != V_y_2
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fFalse__1,axiom,
% 149.08/148.74 ~ hBOOL(c_fFalse) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fTrue__1,axiom,
% 149.08/148.74 hBOOL(c_fTrue) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fNot__1,axiom,
% 149.08/148.74 ! [V_P_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(c_fNot,V_P_2))
% 149.08/148.74 | ~ hBOOL(V_P_2) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fNot__2,axiom,
% 149.08/148.74 ! [V_P_2] :
% 149.08/148.74 ( ~ ~ hBOOL(V_P_2)
% 149.08/148.74 | hBOOL(hAPP(c_fNot,V_P_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fconj__1,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(V_P_2)
% 149.08/148.74 | ~ hBOOL(V_Q_2)
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fconj__2,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 149.08/148.74 | hBOOL(V_P_2) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fconj__3,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_P_2),V_Q_2))
% 149.08/148.74 | hBOOL(V_Q_2) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fdisj__1,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(V_P_2)
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fdisj__2,axiom,
% 149.08/148.74 ! [V_P_2,V_Q_2] :
% 149.08/148.74 ( ~ hBOOL(V_Q_2)
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fdisj__3,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_P_2),V_Q_2))
% 149.08/148.74 | hBOOL(V_P_2)
% 149.08/148.74 | hBOOL(V_Q_2) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fimplies__1,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( hBOOL(V_P_2)
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fimplies__2,axiom,
% 149.08/148.74 ! [V_P_2,V_Q_2] :
% 149.08/148.74 ( ~ hBOOL(V_Q_2)
% 149.08/148.74 | hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2)) ) ).
% 149.08/148.74
% 149.08/148.74 fof(help_c__fimplies__3,axiom,
% 149.08/148.74 ! [V_Q_2,V_P_2] :
% 149.08/148.74 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_P_2),V_Q_2))
% 149.08/148.74 | ~ hBOOL(V_P_2)
% 149.08/148.74 | hBOOL(V_Q_2) ) ).
% 149.08/148.74
% 149.08/148.74 %----Conjectures (3)
% 149.08/148.74 fof(conj_0,hypothesis,
% 149.08/148.74 c_Hoare__Mirabelle_Ostate__not__singleton ).
% 149.08/148.74
% 149.08/148.74 fof(conj_1,hypothesis,
% 149.08/148.74 ! [B_x] :
% 149.08/148.74 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
% 149.08/148.74 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 149.08/148.74
% 149.08/148.74 fof(conj_2,conjecture,
% 149.08/148.74 ( hBOOL(hAPP(c_Com_OWT,v_c))
% 149.08/148.74 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(v_c)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 149.08/148.74
% 149.08/148.74 %------------------------------------------------------------------------------
% 149.08/148.74 %-------------------------------------------
% 149.08/148.74 % Proof found
% 149.08/148.74 % SZS status Theorem for theBenchmark
% 149.08/148.74 % SZS output start Proof
% 149.08/148.74 %ClaNum:10194(EqnAxiom:2860)
% 149.08/148.74 %VarNum:70042(SingletonVarNum:20445)
% 149.08/148.74 %MaxLitNum:8
% 149.08/148.74 %MaxfuncDepth:15
% 149.08/148.74 %SharedTerms:1099
% 149.08/148.74 %goalClause: 3120 4551
% 149.08/148.74 %singleGoalClaCount:2
% 149.08/148.74 [2861]P1(a5000)
% 149.08/148.74 [2865]P24(a866)
% 149.08/148.74 [2866]P24(a872)
% 149.08/148.74 [2867]P103(a189)
% 149.08/148.74 [2868]P25(a866)
% 149.08/148.74 [2869]P25(a875)
% 149.08/148.74 [2870]P104(a866)
% 149.08/148.74 [2871]P104(a872)
% 149.08/148.74 [2872]P104(a1)
% 149.08/148.74 [2873]P104(a104)
% 149.08/148.74 [2874]P105(a872)
% 149.08/148.74 [2875]P105(a1)
% 149.08/148.74 [2876]P105(a104)
% 149.08/148.74 [2877]P106(a866)
% 149.08/148.74 [2878]P106(a872)
% 149.08/148.74 [2879]P106(a1)
% 149.08/148.74 [2880]P106(a104)
% 149.08/148.74 [2881]P107(a866)
% 149.08/148.74 [2882]P107(a872)
% 149.08/148.74 [2883]P107(a1)
% 149.08/148.74 [2884]P107(a104)
% 149.08/148.74 [2885]P63(a866)
% 149.08/148.74 [2886]P63(a872)
% 149.08/148.74 [2887]P63(a1)
% 149.08/148.74 [2888]P64(a866)
% 149.08/148.74 [2889]P64(a872)
% 149.08/148.74 [2890]P64(a1)
% 149.08/148.74 [2891]P64(a104)
% 149.08/148.74 [2892]P76(a866)
% 149.08/148.74 [2893]P76(a872)
% 149.08/148.74 [2894]P76(a1)
% 149.08/148.74 [2895]P77(a866)
% 149.08/148.74 [2896]P78(a1)
% 149.08/148.74 [2897]P26(a866)
% 149.08/148.74 [2898]P65(a1)
% 149.08/148.74 [2899]P79(a872)
% 149.08/148.74 [2900]P79(a1)
% 149.08/148.74 [2901]P79(a104)
% 149.08/148.74 [2902]P66(a872)
% 149.08/148.74 [2903]P66(a1)
% 149.08/148.74 [2904]P66(a104)
% 149.08/148.74 [2905]P67(a872)
% 149.08/148.74 [2906]P67(a1)
% 149.08/148.74 [2907]P67(a104)
% 149.08/148.74 [2908]P68(a872)
% 149.08/148.74 [2909]P68(a1)
% 149.08/148.74 [2910]P68(a104)
% 149.08/148.74 [2911]P82(a872)
% 149.08/148.74 [2912]P82(a1)
% 149.08/148.74 [2913]P82(a104)
% 149.08/148.74 [2914]P83(a872)
% 149.08/148.74 [2915]P83(a1)
% 149.08/148.74 [2916]P83(a104)
% 149.08/148.74 [2917]P85(a872)
% 149.08/148.74 [2918]P85(a1)
% 149.08/148.74 [2919]P85(a104)
% 149.08/148.74 [2920]P71(a1)
% 149.08/148.74 [2921]P108(a872)
% 149.08/148.74 [2922]P108(a1)
% 149.08/148.74 [2923]P108(a104)
% 149.08/148.74 [2924]P123(a1)
% 149.08/148.74 [2925]P72(a872)
% 149.08/148.74 [2926]P72(a1)
% 149.08/148.74 [2927]P72(a104)
% 149.08/148.74 [2928]P86(a866)
% 149.08/148.74 [2929]P87(a866)
% 149.08/148.74 [2930]P87(a1)
% 149.08/148.74 [2931]P109(a1)
% 149.08/148.74 [2932]P110(a1)
% 149.08/148.74 [2933]P100(a866)
% 149.08/148.74 [2934]P100(a872)
% 149.08/148.74 [2935]P100(a1)
% 149.08/148.74 [2936]P98(a866)
% 149.08/148.74 [2937]P98(a872)
% 149.08/148.74 [2938]P98(a1)
% 149.08/148.74 [2939]P114(a872)
% 149.08/148.74 [2940]P114(a1)
% 149.08/148.74 [2941]P114(a104)
% 149.08/148.74 [2942]P73(a872)
% 149.08/148.74 [2943]P73(a1)
% 149.08/148.74 [2944]P73(a104)
% 149.08/148.74 [2945]P135(a872)
% 149.08/148.74 [2946]P135(a1)
% 149.08/148.74 [2947]P111(a866)
% 149.08/148.74 [2948]P69(a872)
% 149.08/148.74 [2949]P69(a1)
% 149.08/148.74 [2950]P69(a104)
% 149.08/148.74 [2951]P91(a872)
% 149.08/148.74 [2952]P91(a1)
% 149.08/148.74 [2953]P91(a104)
% 149.08/148.74 [2954]P124(a872)
% 149.08/148.74 [2955]P124(a1)
% 149.08/148.74 [2956]P124(a104)
% 149.08/148.74 [2957]P136(a1)
% 149.08/148.74 [2958]P125(a872)
% 149.08/148.74 [2959]P125(a1)
% 149.08/148.74 [2960]P125(a104)
% 149.08/148.74 [2961]P121(a1)
% 149.08/148.74 [2962]P122(a1)
% 149.08/148.74 [2963]P130(a872)
% 149.08/148.74 [2964]P130(a1)
% 149.08/148.74 [2965]P130(a104)
% 149.08/148.74 [2966]P131(a1)
% 149.08/148.74 [2967]P133(a872)
% 149.08/148.74 [2968]P133(a1)
% 149.08/148.74 [2969]P133(a104)
% 149.08/148.74 [2970]P132(a872)
% 149.08/148.74 [2971]P132(a1)
% 149.08/148.74 [2972]P132(a104)
% 149.08/148.74 [2973]P126(a872)
% 149.08/148.74 [2974]P126(a1)
% 149.08/148.74 [2975]P126(a104)
% 149.08/148.74 [2976]P116(a872)
% 149.08/148.74 [2977]P116(a1)
% 149.08/148.74 [2978]P116(a104)
% 149.08/148.74 [2979]P127(a872)
% 149.08/148.74 [2980]P127(a1)
% 149.08/148.74 [2981]P127(a104)
% 149.08/148.74 [2982]P139(a872)
% 149.08/148.74 [2983]P139(a1)
% 149.08/148.74 [2984]P139(a104)
% 149.08/148.74 [2985]P115(a872)
% 149.08/148.74 [2986]P115(a1)
% 149.08/148.74 [2987]P115(a104)
% 149.08/148.74 [2988]P80(a872)
% 149.08/148.74 [2989]P80(a1)
% 149.08/148.74 [2990]P80(a104)
% 149.08/148.74 [2991]P117(a1)
% 149.08/148.74 [2992]P81(a872)
% 149.08/148.74 [2993]P81(a1)
% 149.08/148.74 [2994]P81(a104)
% 149.08/148.74 [2995]P74(a1)
% 149.08/148.74 [2996]P140(a872)
% 149.08/148.74 [2997]P140(a1)
% 149.08/148.74 [2998]P140(a104)
% 149.08/148.74 [2999]P128(a1)
% 149.08/148.74 [3000]P141(a872)
% 149.08/148.74 [3001]P141(a1)
% 149.08/148.74 [3002]P141(a104)
% 149.08/148.74 [3003]P99(a866)
% 149.08/148.74 [3004]P129(a1)
% 149.08/148.74 [3005]P137(a1)
% 149.08/148.74 [3006]P88(a872)
% 149.08/148.74 [3007]P88(a1)
% 149.08/148.74 [3008]P88(a104)
% 149.08/148.74 [3009]P138(a1)
% 149.08/148.74 [3010]P92(a1)
% 149.08/148.74 [3011]P89(a1)
% 149.08/148.74 [3012]P101(a872)
% 149.08/148.74 [3013]P101(a1)
% 149.08/148.74 [3014]P101(a104)
% 149.08/148.74 [3015]P142(a872)
% 149.08/148.74 [3016]P142(a1)
% 149.08/148.74 [3017]P142(a104)
% 149.08/148.74 [3018]P84(a1)
% 149.08/148.74 [3019]P134(a1)
% 149.08/148.74 [3020]P70(a1)
% 149.08/148.74 [3021]P75(a872)
% 149.08/148.74 [3022]P75(a1)
% 149.08/148.74 [3023]P75(a104)
% 149.08/148.74 [3024]P112(a872)
% 149.08/148.74 [3025]P112(a1)
% 149.08/148.74 [3026]P112(a104)
% 149.08/148.74 [3027]P56(a872)
% 149.08/148.74 [3028]P56(a1)
% 149.08/148.74 [3029]P56(a104)
% 149.08/148.74 [3030]P57(a1)
% 149.08/148.74 [3031]P93(a1)
% 149.08/148.74 [3032]P94(a872)
% 149.08/148.74 [3033]P94(a1)
% 149.08/148.74 [3034]P94(a104)
% 149.08/148.74 [3035]P143(a875)
% 149.08/148.74 [3036]P143(a1)
% 149.08/148.74 [3037]P113(a872)
% 149.08/148.74 [3038]P90(a872)
% 149.08/148.74 [3039]P90(a1)
% 149.08/148.74 [3040]P90(a104)
% 149.08/148.74 [3041]P58(a866)
% 149.08/148.74 [3042]P58(a875)
% 149.08/148.74 [3043]P95(a866)
% 149.08/148.74 [3044]P95(a867)
% 149.08/148.74 [3045]P95(a868)
% 149.08/148.74 [3046]P95(a872)
% 149.08/148.74 [3047]P95(a875)
% 149.08/148.74 [3048]P95(a1)
% 149.08/148.74 [3049]P95(a322)
% 149.08/148.74 [3050]P95(a104)
% 149.08/148.74 [3051]P95(a870)
% 149.08/148.74 [3052]P102(a866)
% 149.08/148.74 [3053]P102(a867)
% 149.08/148.74 [3054]P102(a868)
% 149.08/148.74 [3055]P102(a872)
% 149.08/148.74 [3056]P102(a875)
% 149.08/148.74 [3057]P102(a322)
% 149.08/148.74 [3058]P102(a104)
% 149.08/148.74 [3059]P102(a870)
% 149.08/148.74 [3060]P97(a866)
% 149.08/148.74 [3080]P37(a872,a245)
% 149.08/148.74 [3081]P37(a872,a316)
% 149.08/148.74 [4440]~E(a102,a84)
% 149.08/148.74 [4441]~P103(a244)
% 149.08/148.74 [2862]E(f2(a1),a84)
% 149.08/148.74 [2863]E(f105(a104),a3)
% 149.08/148.74 [2864]E(f22(a104),a23)
% 149.08/148.74 [3061]E(f190(a872),f2(a872))
% 149.08/148.74 [3062]E(f32(a24),f2(a872))
% 149.08/148.74 [3063]E(f106(a872),f238(a872))
% 149.08/148.74 [3064]E(f115(a872),f239(a872))
% 149.08/148.74 [3065]E(f107(a1),f35(a1))
% 149.08/148.74 [3066]E(f85(a244),f2(a872))
% 149.08/148.74 [3067]E(f85(a189),f2(a872))
% 149.08/148.74 [3068]P27(f79(a1))
% 149.08/148.74 [3069]P27(f2(a1))
% 149.08/148.74 [3119]P103(f326(a25,a24))
% 149.08/148.74 [3120]P103(f326(a25,a877))
% 149.08/148.74 [3133]P37(f879(a872,a872),a36)
% 149.08/148.74 [3484]E(f318(a872,a872,a245,a245),a36)
% 149.08/148.74 [4442]~E(f79(a1),f2(a1))
% 149.08/148.74 [3070]E(f116(f2(a872)),f2(a872))
% 149.08/148.74 [3071]E(f4(f2(a104)),f2(a872))
% 149.08/148.74 [3083]E(f326(f80(a1),a84),a84)
% 149.08/148.74 [3086]E(f326(a117,f2(a872)),f79(a872))
% 149.08/148.74 [3087]E(f326(a109,f79(a1)),f79(a872))
% 149.08/148.74 [3088]E(f326(a3,f79(a872)),f79(a104))
% 149.08/148.74 [3090]E(f326(a3,f2(a872)),f2(a104))
% 149.08/148.74 [3092]E(f326(f108(a1),a84),f2(a1))
% 149.08/148.74 [3093]E(f326(f108(a104),a84),f2(a104))
% 149.08/148.74 [3094]E(f326(a109,f2(a1)),f2(a872))
% 149.08/148.74 [3095]E(f326(f191(a866),a244),f2(a872))
% 149.08/148.74 [3096]E(f326(f191(a866),a189),f2(a872))
% 149.08/148.74 [3097]E(f326(f191(a868),a24),f2(a872))
% 149.08/148.74 [3098]E(f326(f108(a872),a84),f2(a872))
% 149.08/148.74 [3103]E(f326(f80(a1),f79(a1)),a102)
% 149.08/148.74 [3110]E(f326(f80(a1),f2(a1)),f2(a1))
% 149.08/148.74 [3112]E(f326(f191(a104),f2(a104)),f2(a872))
% 149.08/148.74 [3113]E(f326(f105(a1),f79(a872)),f79(a1))
% 149.08/148.74 [3114]E(f326(f105(a1),f2(a872)),f2(a1))
% 149.08/148.74 [3129]E(f326(a109,f79(a1)),f326(a117,f2(a872)))
% 149.08/148.74 [3130]E(f326(f174(a869,a868),a27),a28)
% 149.08/148.74 [3131]E(f317(f879(a872,a872),a36),a37)
% 149.08/148.74 [3132]E(f319(f879(a872,a872),a36),a69)
% 149.08/148.74 [3154]E(f326(f247(a872),f2(a872)),f190(f880(a872,a866)))
% 149.08/148.74 [3155]E(f326(f248(a872),f2(a872)),f249(f880(a872,a866)))
% 149.08/148.74 [3163]P39(f190(f880(a1,a866)))
% 149.08/148.74 [3199]E(f326(f326(f22(a104),f2(a104)),f79(a104)),f2(a104))
% 149.08/148.74 [3277]P103(f326(f326(f241(a1),a102),f2(a1)))
% 149.08/148.74 [3302]P103(f326(f326(f240(a1),f2(a1)),f79(a1)))
% 149.08/148.74 [3304]P103(f326(f326(f241(a1),f2(a1)),f79(a1)))
% 149.08/148.74 [3477]P103(f326(f62(a869),f180(a869,a868,a28)))
% 149.08/148.74 [3514]E(f326(f326(f283(a872,a872,a872),a316),f302(a872,a316)),a245)
% 149.08/148.74 [3552]P40(a1,a872,a109,f326(f240(a1),f2(a1)))
% 149.08/148.74 [3556]E(f326(f326(f42(a872,f880(a872,a866)),f249(f880(a872,a866))),f247(a872)),f249(f880(a872,a866)))
% 149.08/148.74 [3557]E(f326(f326(f42(a872,f880(a872,a866)),f249(f880(a872,a866))),f248(a872)),f249(f880(a872,a866)))
% 149.08/148.74 [3558]E(f326(f326(f42(a872,f880(a872,a866)),f249(f880(a872,a866))),f295(a872)),f249(f880(a872,a866)))
% 149.08/148.74 [3559]E(f326(f326(f43(a872,f880(a872,a866)),f249(f880(a872,a866))),f298(a872)),f190(f880(a872,a866)))
% 149.08/148.74 [3575]P21(a872,a1,f105(a1),f249(f880(a872,a866)))
% 149.08/148.74 [3586]P40(a872,a1,f105(a1),f326(f16(a866,a872),a189))
% 149.08/148.74 [3721]E(f326(f74(a872,a104,a1,a3),a109),f108(a104))
% 149.08/148.74 [3941]P52(a104,a872,a19,a3,f249(f880(a872,a866)))
% 149.08/148.74 [3950]P52(a1,f880(f879(a872,a872),a866),a112,a90,a103)
% 149.08/148.74 [4216]E(f266(a1,a1,a1,a1,f35(a1),f80(a1)),a51)
% 149.08/148.74 [4465]~E(f326(f108(a1),a102),f326(f108(a1),a84))
% 149.08/148.74 [4466]~P103(f326(a196,f79(a1)))
% 149.08/148.74 [4467]~P103(f326(a196,f2(a1)))
% 149.08/148.74 [4517]~P103(f326(f326(f241(a1),a84),f2(a1)))
% 149.08/148.74 [3146]E(f326(f326(f22(a1),a102),a102),a84)
% 149.08/148.74 [3161]E(f326(f105(a1),f326(a117,f2(a872))),f79(a1))
% 149.08/148.74 [3226]E(f326(f38(a875),f249(f880(a875,a866))),f79(a872))
% 149.08/148.74 [3247]P103(f326(a196,f326(f108(a1),a102)))
% 149.08/148.74 [3249]P103(f326(f326(f240(a1),a102),a84))
% 149.08/148.74 [3251]P103(f326(f326(f241(a1),a102),a84))
% 149.08/148.74 [3314]E(f326(f326(f304(a872),f2(a872)),f190(f880(a872,a866))),f326(f295(a872),f2(a872)))
% 149.08/148.74 [3370]P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),a84)))
% 149.08/148.74 [3382]E(f326(f305(a872,a872,a117),f249(f880(a872,a866))),f326(f298(a872),f2(a872)))
% 149.08/148.74 [3421]P3(f879(a872,a872),f249(f880(f879(a872,a872),a866)),a113)
% 149.08/148.74 [3729]E(f326(f74(a872,a1,a104,f105(a1)),a19),a20)
% 149.08/148.74 [3788]P37(a872,f326(f246(f879(a872,a872)),f326(f265(a872,a872,a866),f241(a872))))
% 149.08/148.74 [4506]~P103(f326(a196,f326(f108(a1),a84)))
% 149.08/148.74 [4507]~P103(f326(f326(f240(a1),a84),a102))
% 149.08/148.74 [4508]~P103(f326(f326(f241(a1),a84),a84))
% 149.08/148.74 [4509]~P103(f326(f326(f241(a1),a84),a102))
% 149.08/148.74 [4510]~P103(f326(f326(f241(a1),a102),a102))
% 149.08/148.74 [4511]~P103(f326(f326(f92(a1),a84),a102))
% 149.08/148.74 [4512]~P103(f326(f326(f92(a1),a102),a84))
% 149.08/148.74 [4527]~P103(f326(f62(a872),f249(f880(a872,a866))))
% 149.08/148.74 [4528]~P103(f326(f62(a1),f249(f880(a1,a866))))
% 149.08/148.74 [4386]E(f326(f265(a1,a1,a866),f326(f326(f8(f880(a1,a866),f880(a1,a866),a1),f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f241(a1),f2(a1))))),f326(f326(f7(a1,a1,f880(a1,a866)),f326(f326(f8(f880(a1,f880(a1,a866)),f880(a1,f880(a1,a866)),a1),f7(a1,a1,a866)),f326(f326(f8(f880(a1,a1),f880(a1,f880(a1,a866)),a1),f326(f8(a1,f880(a1,a866),a1),a323)),a222))),f79(a1)))),a218)
% 149.08/148.74 [4551]~P20(a867,a881,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),a877),f197(a877))),f190(f880(f871(a867),a866))))
% 149.08/148.74 [3459]E(f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102),f326(f80(a1),a102))
% 149.08/148.74 [3497]E(f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102),f326(f326(f22(a1),a84),a102))
% 149.08/148.74 [3655]E(f326(f326(f61(f879(a872,a872)),f249(f880(f879(a872,a872),a866))),a113),a103)
% 149.08/148.74 [3684]E(f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f79(a1))
% 149.08/148.74 [3685]E(f326(f108(a104),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f79(a104))
% 149.08/148.74 [3686]E(f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f79(a872))
% 149.08/148.74 [3690]E(f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(a117,f2(a872)))
% 149.08/148.74 [4076]E(f326(f326(f115(f880(f879(f879(a872,a872),f879(a872,a872)),a866)),a36),f302(f879(a872,a872),f190(f880(f879(f879(a872,a872),f879(a872,a872)),a866)))),a71)
% 149.08/148.74 [4147]E(f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),f79(a872)),f2(a872))),f190(f880(f879(a872,a872),a866))))),f79(a1))
% 149.08/148.74 [4148]E(f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),f2(a872)),f2(a872))),f190(f880(f879(a872,a872),a866))))),f2(a1))
% 149.08/148.74 [4163]E(f326(f246(f879(a872,a872)),f326(f265(a872,a872,a866),f326(f326(f8(a872,f880(a872,a866),a872),f326(f7(a872,a872,a866),a323)),a117))),a316)
% 149.08/148.74 [4133]E(f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),f326(a117,f326(a117,f2(a872))))
% 149.08/148.74 [4136]E(f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),f326(f326(f81(a872),f79(a872)),f79(a872)))
% 149.08/148.74 [4137]E(f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),f326(f38(a866),f249(f880(a866,a866))))
% 149.08/148.74 [4202]P27(f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))
% 149.08/148.74 [4274]P22(f880(f879(a872,a872),a866),f326(f326(f261(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866),f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)),a37),a70))
% 149.08/148.74 [4275]P22(f880(f879(a872,a872),a866),f326(f326(f261(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866),f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)),a69),a72))
% 149.08/148.74 [4314]E(f326(f326(f115(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)),f319(f879(a872,a872),a71)),f326(f326(f304(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f190(f880(f879(a872,a872),a866))),f190(f880(f879(a872,a872),a866)))),f190(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)))),a72)
% 149.08/148.74 [4315]E(f326(f326(f115(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)),f317(f879(a872,a872),a71)),f326(f326(f304(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f190(f880(f879(a872,a872),a866))),f190(f880(f879(a872,a872),a866)))),f190(f880(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a866)))),a70)
% 149.08/148.74 [4204]E(f326(a109,f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(a117,f326(a117,f2(a872))))
% 149.08/148.74 [4251]E(f326(f105(a1),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))
% 149.08/148.74 [4286]P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.74 [4287]E(f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102)),f326(a117,f326(a117,f326(a117,f2(a872)))))
% 149.08/148.74 [4328]P27(f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102)))
% 149.08/148.74 [4356]E(f326(f105(a1),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102)))
% 149.08/148.74 [4371]P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))))
% 149.08/148.74 [3082]P2(x30821,a323)
% 149.08/148.74 [3485]P21(a872,a872,a117,x34851)
% 149.08/148.74 [3072]P95(f871(x30721))
% 149.08/148.74 [3073]P95(f876(x30731))
% 149.08/148.74 [3074]P95(f873(x30741))
% 149.08/148.74 [3075]P95(f874(x30751))
% 149.08/148.74 [3076]P102(f871(x30761))
% 149.08/148.74 [3077]P102(f876(x30771))
% 149.08/148.74 [3078]P102(f873(x30781))
% 149.08/148.74 [3079]P102(f874(x30791))
% 149.08/148.74 [3099]P37(a1,f110(x30991))
% 149.08/148.74 [3100]P37(a1,f111(x31001))
% 149.08/148.74 [3102]P38(x31021,f193(x31021))
% 149.08/148.74 [3151]P37(f880(x31511,a866),f301(x31511))
% 149.08/148.74 [3175]E(f250(x31751,x31751,a323),a323)
% 149.08/148.74 [3190]E(f45(a1,x31901,x31901),f2(a1))
% 149.08/148.74 [3244]P11(x32441,f880(x32441,a866),f304(x32441))
% 149.08/148.74 [4444]~E(f326(a26,x44441),a24)
% 149.08/148.74 [4446]~E(f326(a117,x44461),x44461)
% 149.08/148.74 [4456]~E(f326(a117,x44561),f2(a872))
% 149.08/148.74 [3084]E(f326(f191(a872),x30841),x30841)
% 149.08/148.74 [3085]E(f326(f108(a1),x30851),x30851)
% 149.08/148.74 [3101]E(f326(a90,f327(x31011)),x31011)
% 149.08/148.74 [3115]E(f119(x31151,f118(x31151)),f118(x31151))
% 149.08/148.74 [3116]E(f148(x31161,f118(x31161)),f118(x31161))
% 149.08/148.74 [3121]E(f32(f326(a26,x31211)),f2(a872))
% 149.08/148.74 [3126]E(f326(f164(x31261),f118(x31261)),f118(x31261))
% 149.08/148.74 [3127]E(f326(f167(x31271),f118(x31271)),f118(x31271))
% 149.08/148.74 [3128]E(f326(f165(x31281),f118(x31281)),f118(x31281))
% 149.08/148.74 [3134]E(f326(f108(a1),x31341),f326(f107(a1),x31341))
% 149.08/148.74 [3135]E(f326(a90,f326(a112,x31351)),x31351)
% 149.08/148.74 [3137]E(f326(a3,f326(a19,x31371)),x31371)
% 149.08/148.74 [3138]E(f326(a19,f326(a3,x31381)),x31381)
% 149.08/148.74 [3139]P27(f326(f105(a1),x31391))
% 149.08/148.74 [3144]E(f326(f191(f876(x31441)),f193(x31441)),f2(a872))
% 149.08/148.74 [3145]E(f326(f191(f873(x31451)),f118(x31451)),f2(a872))
% 149.08/148.74 [3150]E(f326(f191(a868),f326(a26,x31501)),f2(a872))
% 149.08/148.74 [3159]E(f232(x31591,f193(x31591)),f190(f880(x31591,a866)))
% 149.08/148.74 [3166]E(f326(f326(f22(a872),x31661),f2(a872)),x31661)
% 149.08/148.74 [3167]E(f326(f326(f81(a872),x31671),f2(a872)),x31671)
% 149.08/148.74 [3168]E(f326(f326(f81(a1),x31681),f2(a1)),x31681)
% 149.08/148.74 [3169]E(f326(f326(f82(a872),x31691),f79(a872)),x31691)
% 149.08/148.74 [3170]E(f326(f326(f82(a1),x31701),f79(a1)),x31701)
% 149.08/148.74 [3171]E(f326(f326(f239(a872),x31711),f2(a872)),x31711)
% 149.08/148.74 [3172]E(f326(f326(f82(a872),x31721),f2(a872)),f2(a872))
% 149.08/148.74 [3173]E(f326(f326(f238(a872),x31731),f2(a872)),f2(a872))
% 149.08/148.74 [3174]E(f326(f326(f39(a1),x31741),f2(a1)),f2(a1))
% 149.08/148.74 [3181]E(f326(f168(x31811),f118(x31811)),f190(f880(x31811,a866)))
% 149.08/148.74 [3185]P103(f326(f133(x31851),f118(x31851)))
% 149.08/148.74 [3191]E(f326(f204(x31911,x31911),f5(x31911)),f35(f876(x31911)))
% 149.08/148.74 [3192]E(f326(f204(x31921,x31921),f35(x31921)),f35(f876(x31921)))
% 149.08/148.74 [3193]E(f326(f150(x31931,x31931),f5(x31931)),f35(f873(x31931)))
% 149.08/148.74 [3194]E(f326(f150(x31941,x31941),f35(x31941)),f35(f873(x31941)))
% 149.08/148.74 [3195]E(f45(a1,x31951,f2(a1)),x31951)
% 149.08/148.74 [3196]E(f326(f240(a872),f326(a117,x31961)),f326(f241(a872),x31961))
% 149.08/148.74 [3197]E(f326(f247(a872),f326(a117,x31971)),f326(f295(a872),x31971))
% 149.08/148.74 [3198]E(f326(f248(a872),f326(a117,x31981)),f326(f298(a872),x31981))
% 149.08/148.74 [3200]E(f45(a1,f2(a1),x32001),f2(a1))
% 149.08/148.74 [3210]E(f326(f326(f81(a872),x32101),f79(a872)),f326(a117,x32101))
% 149.08/148.74 [3220]E(f326(f296(a872,x32201),f2(a872)),f190(f880(a872,a866)))
% 149.08/148.74 [3232]E(f297(a872,f2(a872),x32321),f326(f295(a872),x32321))
% 149.08/148.74 [3280]E(f326(f326(f22(a872),f326(a117,x32801)),f79(a872)),x32801)
% 149.08/148.74 [3293]E(f47(f2(a1),x32931),f326(f326(f261(a1,a1),f2(a1)),f2(a1)))
% 149.08/148.74 [3344]P103(f326(f326(f241(a872),x33441),f326(a117,x33441)))
% 149.08/148.74 [3356]P103(f326(f326(f241(a872),f2(a872)),f326(a117,x33561)))
% 149.08/148.74 [3641]E(f326(f326(f22(a104),f326(a3,f326(a117,f326(a19,x36411)))),f79(a104)),x36411)
% 149.08/148.74 [3713]P103(f326(f326(f240(a1),f326(f80(a1),f326(f105(a1),x37131))),f2(a1)))
% 149.08/148.74 [3859]P103(f326(f326(f241(a1),f326(f80(a1),f326(f105(a1),f326(a117,x38591)))),f2(a1)))
% 149.08/148.74 [4473]~E(f249(f880(x44731,a866)),f190(f880(x44731,a866)))
% 149.08/148.74 [4520]~P103(f326(f326(f241(a872),x45201),f2(a872)))
% 149.08/148.74 [4536]~P103(f326(f326(f241(a1),f326(f105(a1),x45361)),f2(a1)))
% 149.08/148.74 [3149]E(f176(x31491,f118(f873(x31491))),f118(f873(x31491)))
% 149.08/148.74 [3152]E(f326(f326(f82(a1),a84),x31521),a84)
% 149.08/148.74 [3153]E(f326(f326(f81(a1),a84),x31531),x31531)
% 149.08/148.74 [3156]E(f326(a109,f326(f105(a1),x31561)),x31561)
% 149.08/148.74 [3157]E(f326(f326(f22(a1),x31571),a84),x31571)
% 149.08/148.74 [3158]E(f326(f326(f81(a1),x31581),a84),x31581)
% 149.08/148.74 [3160]E(f326(f326(f22(a872),x31601),x31601),f2(a872))
% 149.08/148.74 [3164]E(f326(f38(a872),f326(f247(a872),x31641)),x31641)
% 149.08/148.74 [3165]E(f326(f80(a1),f326(f80(a1),x31651)),x31651)
% 149.08/148.74 [3176]E(f326(f326(f81(a872),f2(a872)),x31761),x31761)
% 149.08/148.74 [3177]E(f326(f326(f81(a1),f2(a1)),x31771),x31771)
% 149.08/148.74 [3178]E(f326(f326(f82(a872),f79(a872)),x31781),x31781)
% 149.08/148.74 [3179]E(f326(f326(f82(a1),f79(a1)),x31791),x31791)
% 149.08/148.74 [3180]E(f326(f326(f239(a872),f2(a872)),x31801),x31801)
% 149.08/148.74 [3186]E(f326(f326(f22(a872),f2(a872)),x31861),f2(a872))
% 149.08/148.74 [3187]E(f326(f326(f82(a872),f2(a872)),x31871),f2(a872))
% 149.08/148.74 [3188]E(f326(f326(f238(a872),f2(a872)),x31881),f2(a872))
% 149.08/148.74 [3189]E(f326(f326(f39(a1),f2(a1)),x31891),f2(a1))
% 149.08/148.74 [3205]E(f326(f296(a872,f2(a872)),x32051),f326(f247(a872),x32051))
% 149.08/148.74 [3206]E(f326(f326(f82(a1),a102),x32061),f326(f80(a1),x32061))
% 149.08/148.74 [3212]E(f326(a109,f326(f108(a1),x32121)),f326(f108(a872),x32121))
% 149.08/148.74 [3213]E(f326(a19,f326(f108(a104),x32131)),f326(f108(a872),x32131))
% 149.08/148.74 [3214]E(f326(f38(a872),f326(f295(a872),x32141)),f326(a117,x32141))
% 149.08/148.74 [3224]E(f326(f326(f81(a872),f79(a872)),x32241),f326(a117,x32241))
% 149.08/148.74 [3228]E(f326(f107(a1),f326(f105(a1),x32281)),f326(f105(a1),x32281))
% 149.08/148.74 [3229]E(f326(f76(a1),f326(f105(a1),x32291)),f326(f105(a1),x32291))
% 149.08/148.74 [3234]E(f326(f38(x32341),f190(f880(x32341,a866))),f2(a872))
% 149.08/148.74 [3236]E(f326(f326(f39(a872),x32361),f326(a117,f2(a872))),x32361)
% 149.08/148.74 [3245]E(f45(a872,x32451,f326(a117,f2(a872))),f2(a872))
% 149.08/148.74 [3246]E(f45(a1,x32461,f326(f108(a1),a102)),f2(a1))
% 149.08/148.74 [3262]E(f326(f326(f39(a1),x32621),f326(f108(a1),a102)),f326(f80(a1),x32621))
% 149.08/148.74 [3266]E(f135(a872,f326(f296(a872,x32661),f2(a872))),f118(a872))
% 149.08/148.74 [3267]E(f326(f326(f81(a1),x32671),f79(a1)),f326(f326(f22(a1),x32671),a102))
% 149.08/148.74 [3268]E(f326(f326(f22(a1),x32681),f79(a1)),f326(f326(f81(a1),x32681),a102))
% 149.08/148.74 [3273]P103(f326(f326(f197(a24),x32731),x32731))
% 149.08/148.74 [3274]P103(f326(f326(f240(a872),x32741),x32741))
% 149.08/148.74 [3275]P103(f326(f326(f240(a1),x32751),x32751))
% 149.08/148.74 [3276]P103(f326(f326(f92(a1),x32761),x32761))
% 149.08/148.74 [3281]E(f326(f80(a1),f326(f108(a1),x32811)),f326(f108(a1),f326(f80(a1),x32811)))
% 149.08/148.74 [3282]P103(f326(f62(a872),f326(f247(a872),x32821)))
% 149.08/148.74 [3283]P103(f326(f62(a872),f326(f295(a872),x32831)))
% 149.08/148.74 [3291]E(f157(x32911,f249(f880(x32911,a866))),f249(f880(f873(x32911),a866)))
% 149.08/148.74 [3296]P103(f326(f326(f240(a872),f2(a872)),x32961))
% 149.08/148.74 [3307]E(f326(f326(f81(a872),f116(x33071)),f326(a117,f2(a872))),f116(f326(a117,x33071)))
% 149.08/148.74 [3308]E(f326(f246(x33081),f326(f16(a866,x33081),a244)),f190(f880(x33081,a866)))
% 149.08/148.74 [3309]E(f326(f246(x33091),f326(f16(a866,x33091),a189)),f249(f880(x33091,a866)))
% 149.08/148.74 [3313]E(f326(f326(f304(a872),x33131),f326(f247(a872),x33131)),f326(f247(a872),f326(a117,x33131)))
% 149.08/148.74 [3325]E(f326(f326(f81(a1),f79(a1)),f326(f105(a1),x33251)),f326(f105(a1),f326(a117,x33251)))
% 149.08/148.74 [3328]E(f326(f326(f147(f873(x33281)),f118(x33281)),f118(f873(x33281))),f54(x33281,f118(x33281)))
% 149.08/148.74 [3347]E(f190(f880(f879(x33471,x33471),a866)),f258(x33471,f190(f880(x33471,a866))))
% 149.08/148.74 [3348]E(f326(f303(x33481),f249(f880(x33481,a866))),f249(f880(f880(x33481,a866),a866)))
% 149.08/148.74 [3349]E(f326(f80(f880(x33491,a866)),f190(f880(x33491,a866))),f249(f880(x33491,a866)))
% 149.08/148.74 [3350]E(f326(f80(f880(x33501,a866)),f249(f880(x33501,a866))),f190(f880(x33501,a866)))
% 149.08/148.74 [3352]P103(f326(f62(x33521),f190(f880(x33521,a866))))
% 149.08/148.74 [3354]E(f326(f296(a872,x33541),f326(a117,x33541)),f326(f326(f304(a872),x33541),f190(f880(a872,a866))))
% 149.08/148.74 [3355]E(f86(f879(a872,a872),f48(x33551,f2(a872))),f326(f326(f261(a872,a872),f2(a872)),x33551))
% 149.08/148.74 [3369]E(f326(f326(f304(a872),f326(a117,x33691)),f326(f295(a872),x33691)),f326(f295(a872),f326(a117,x33691)))
% 149.08/148.74 [3373]P37(x33731,f190(f880(f879(x33731,x33731),a866)))
% 149.08/148.74 [3376]P103(f326(f326(f240(a1),f2(a1)),f326(f105(a1),x33761)))
% 149.08/148.74 [3384]E(f326(f326(f81(a872),f326(f191(a872),x33841)),f326(a117,f2(a872))),f326(f191(a872),f326(a117,x33841)))
% 149.08/148.74 [3492]P39(f326(f305(a872,a1,f105(a1)),x34921))
% 149.08/148.74 [3530]P47(x35301,f190(f880(x35301,a866)),f190(f880(f879(x35301,x35301),a866)))
% 149.08/148.74 [3549]E(f326(f326(f261(a1,a1),f326(f108(a1),a102)),f326(f326(f22(a1),x35491),f79(a1))),f50(f326(f108(a1),a102),x35491))
% 149.08/148.74 [3598]P55(x35981,f326(f16(f880(x35981,a866),x35981),f326(f16(a866,x35981),a244)))
% 149.08/148.74 [3800]P103(f326(f326(f328(f880(f879(a872,a872),a866)),f327(x38001)),a103))
% 149.08/148.74 [3825]P103(f326(f326(f328(f880(f879(a872,a872),a866)),f326(a112,x38251)),a103))
% 149.08/148.74 [3960]P21(x39601,f880(x39601,a866),f326(f326(f7(x39601,f880(x39601,a866),f880(x39601,a866)),f304(x39601)),f190(f880(x39601,a866))),f249(f880(x39601,a866)))
% 149.08/148.74 [4469]~E(f326(f326(f81(a1),x44691),x44691),a102)
% 149.08/148.74 [4505]~E(f326(a3,f326(a117,f326(a19,x45051))),f2(a104))
% 149.08/148.74 [4513]~P103(f326(a196,f326(f105(a1),x45131)))
% 149.08/148.74 [4516]~P103(f326(f326(f241(a872),x45161),x45161))
% 149.08/148.74 [4529]~P103(f326(f326(f240(a872),f326(a117,x45291)),x45291))
% 149.08/148.74 [3298]E(f326(a109,f326(f80(a1),f326(f105(a1),x32981))),f2(a872))
% 149.08/148.74 [3301]E(f326(f326(f81(a1),f326(f80(a1),x33011)),x33011),f2(a1))
% 149.08/148.74 [3306]E(f326(f38(a1),f326(f296(a1,f2(a1)),x33061)),f326(a109,x33061))
% 149.08/148.74 [3318]E(f326(f326(f251(a872),f326(a117,f2(a872))),x33181),f326(a117,f2(a872)))
% 149.08/148.74 [3418]E(f326(f279(x34181),f190(f880(f879(x34181,x34181),a866))),f190(f880(x34181,a866)))
% 149.08/148.74 [3426]E(f40(f880(x34261,a866),f190(f880(f880(x34261,a866),a866))),f190(f880(x34261,a866)))
% 149.08/148.74 [3427]E(f40(f880(x34271,a866),f249(f880(f880(x34271,a866),a866))),f249(f880(x34271,a866)))
% 149.08/148.74 [3428]E(f41(f880(x34281,a866),f190(f880(f880(x34281,a866),a866))),f249(f880(x34281,a866)))
% 149.08/148.74 [3429]E(f41(f880(x34291,a866),f249(f880(f880(x34291,a866),a866))),f190(f880(x34291,a866)))
% 149.08/148.74 [3475]E(f326(f326(f304(f873(x34751)),f118(x34751)),f190(f880(f873(x34751),a866))),f158(x34751,f118(f880(x34751,a866))))
% 149.08/148.74 [3476]E(f326(f326(f304(f873(x34761)),f118(x34761)),f190(f880(f873(x34761),a866))),f157(x34761,f190(f880(x34761,a866))))
% 149.08/148.74 [3513]E(f326(f326(f81(a872),f4(x35131)),f326(a117,f2(a872))),f4(f326(a3,f326(a117,f326(a19,x35131)))))
% 149.08/148.74 [3541]E(f326(f38(a1),f326(f305(a872,a1,f105(a1)),x35411)),f326(f38(a872),x35411))
% 149.08/148.74 [3544]P103(f326(f326(f240(a872),x35441),f326(f326(f82(a872),x35441),x35441)))
% 149.08/148.74 [3579]E(f326(f305(a1,a872,a109),f297(a1,f2(a1),f326(f105(a1),x35791))),f326(f295(a872),x35791))
% 149.08/148.74 [3593]E(f326(f326(f39(a872),f326(a117,f2(a872))),f326(f108(a872),x35931)),f326(a109,f326(f326(f39(a1),f79(a1)),f326(f108(a1),x35931))))
% 149.08/148.74 [3595]E(f326(f168(a872),f135(a872,f326(f296(a872,f2(a872)),f326(a117,x35951)))),f326(f295(a872),x35951))
% 149.08/148.74 [3596]E(f326(f326(f81(a872),f326(f191(a104),x35961)),f326(a117,f2(a872))),f326(f191(a104),f326(a3,f326(a117,f326(a19,x35961)))))
% 149.08/148.74 [3615]E(f326(f305(a1,a872,a109),f326(f305(a872,a1,f105(a1)),x36151)),x36151)
% 149.08/148.74 [3647]E(f326(f326(f304(a872),f2(a872)),f326(f305(a872,a872,a117),f326(f247(a872),x36471))),f326(f247(a872),f326(a117,x36471)))
% 149.08/148.74 [3654]P50(x36541,x36541,f302(x36541,f190(f880(f879(x36541,x36541),a866))))
% 149.08/148.74 [3660]P103(f326(a196,f326(f80(a1),f326(f105(a1),f326(a117,x36601)))))
% 149.08/148.74 [3671]E(f326(f326(f22(f880(a872,a866)),f326(f248(a872),x36711)),f326(f326(f304(a872),x36711),f190(f880(a872,a866)))),f326(f248(a872),f326(a117,x36711)))
% 149.08/148.74 [3687]E(f326(f326(f81(a1),f326(f326(f22(a1),a84),x36871)),f326(f326(f22(a1),a84),x36871)),f326(f326(f22(a1),a84),f326(f326(f81(a1),x36871),x36871)))
% 149.08/148.74 [3703]E(f326(f326(f304(f880(x37031,a866)),f190(f880(x37031,a866))),f190(f880(f880(x37031,a866),a866))),f326(f303(x37031),f190(f880(x37031,a866))))
% 149.08/148.74 [3730]E(f326(f326(f22(f880(a872,a866)),f326(f298(a872),x37301)),f326(f326(f304(a872),f326(a117,x37301)),f190(f880(a872,a866)))),f326(f298(a872),f326(a117,x37301)))
% 149.08/148.74 [3738]E(f326(f326(f304(f876(x37381)),f193(x37381)),f326(f305(x37381,f876(x37381),f233(x37381)),f249(f880(x37381,a866)))),f249(f880(f876(x37381),a866)))
% 149.08/148.74 [3837]E(f326(f108(a872),f326(f326(f81(a1),x38371),x38371)),f326(f326(f87(a872,a872),f326(f108(a872),x38371)),f326(f326(f18(a872,a872,a872),f81(a872)),f5(a872))))
% 149.08/148.74 [4225]P11(x42251,f880(x42251,a866),f326(f326(f8(f880(x42251,a866),f880(f880(x42251,a866),f880(x42251,a866)),x42251),f326(f7(f880(x42251,a866),f880(x42251,a866),f880(x42251,a866)),f22(f880(x42251,a866)))),f326(f326(f7(x42251,f880(x42251,a866),f880(x42251,a866)),f304(x42251)),f190(f880(x42251,a866)))))
% 149.08/148.74 [4313]E(f326(f246(f879(a1,a1)),f326(f265(a1,a1,a866),f326(f326(f8(f880(a1,a866),f880(a1,a866),a1),f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),x43131)))),f241(a1)))),f110(x43131))
% 149.08/148.74 [4346]E(f326(f246(f879(a1,a1)),f326(f265(a1,a1,a866),f326(f326(f18(a1,f880(a1,a866),f880(a1,a866)),f326(f326(f8(f880(a866,a866),f880(f880(a1,a866),f880(a1,a866)),a1),f8(a866,a866,a1)),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),x43461)))),f241(a1)))),f111(x43461))
% 149.08/148.74 [4401]E(f326(f246(f879(f880(x44011,a866),f880(x44011,a866))),f326(f265(f880(x44011,a866),f880(x44011,a866),a866),f326(f326(f7(f880(x44011,a866),f880(f880(x44011,a866),a866),f880(f880(x44011,a866),a866)),f326(f326(f8(f880(f880(x44011,a866),f880(a866,a866)),f880(f880(f880(x44011,a866),a866),f880(f880(x44011,a866),a866)),f880(x44011,a866)),f18(f880(x44011,a866),a866,a866)),f326(f326(f8(f880(f880(x44011,a866),a866),f880(f880(x44011,a866),f880(a866,a866)),f880(x44011,a866)),f326(f8(a866,f880(a866,a866),f880(x44011,a866)),a324)),f241(f880(x44011,a866))))),f62(x44011)))),f301(x44011))
% 149.08/148.74 [4533]~P103(f326(f62(f873(x45331)),f249(f880(f873(x45331),a866))))
% 149.08/148.74 [4538]~P103(f326(f326(f92(a1),a102),f326(f326(f81(a1),x45381),x45381)))
% 149.08/148.74 [4548]~P103(f326(f326(f240(a1),f2(a1)),f326(f80(a1),f326(f105(a1),f326(a117,x45481)))))
% 149.08/148.74 [3453]E(f326(f326(f22(a1),f326(f326(f81(a1),x34531),a102)),a102),x34531)
% 149.08/148.74 [3469]E(f326(f168(a872),f135(a872,f326(f296(a872,f2(a872)),x34691))),f326(f247(a872),x34691))
% 149.08/148.74 [3709]E(f326(f326(f81(a1),f326(f326(f81(a1),f79(a1)),x37091)),x37091),f326(f326(f22(a1),f326(f326(f81(a1),x37091),x37091)),a102))
% 149.08/148.74 [3755]E(f326(f281(x37551,x37551),f302(x37551,f190(f880(f879(x37551,x37551),a866)))),f302(x37551,f190(f880(f879(x37551,x37551),a866))))
% 149.08/148.74 [3803]P103(f326(f326(f240(a872),x38031),f326(f326(f82(a872),x38031),f326(f326(f82(a872),x38031),x38031))))
% 149.08/148.74 [4080]P103(f326(f62(a872),f326(f246(a872),f326(f326(f7(a872,a872,a866),f240(a872)),x40801))))
% 149.08/148.74 [4081]P103(f326(f62(a872),f326(f246(a872),f326(f326(f7(a872,a872,a866),f241(a872)),x40811))))
% 149.08/148.74 [4366]E(f326(f246(f879(x43661,x43661)),f326(f326(f8(f880(x43661,a866),a866,f879(x43661,x43661)),f88(x43661)),f326(f326(f7(f879(x43661,x43661),f880(x43661,f879(x43661,x43661)),f880(x43661,a866)),f326(f326(f8(f880(f879(x43661,x43661),a866),f880(f880(x43661,f879(x43661,x43661)),f880(x43661,a866)),f879(x43661,x43661)),f8(f879(x43661,x43661),a866,x43661)),a323)),f326(f326(f18(x43661,x43661,f879(x43661,x43661)),f261(x43661,x43661)),f5(x43661))))),f302(x43661,f190(f880(f879(x43661,x43661),a866))))
% 149.08/148.74 [4535]~E(f326(f326(f22(a1),f326(f326(f81(a1),x45351),x45351)),a102),a84)
% 149.08/148.74 [4537]~E(f326(f326(f81(a1),f326(f326(f81(a1),f79(a1)),x45371)),x45371),f2(a1))
% 149.08/148.74 [4545]~P103(f326(f326(f92(a1),f326(f326(f81(a1),x45451),x45451)),a102))
% 149.08/148.74 [3848]E(f326(f326(f81(a1),f326(f326(f22(a1),a102),x38481)),f326(f326(f22(a1),a102),x38481)),f326(f326(f22(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x38481),x38481)),a102)))
% 149.08/148.74 [3969]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),a102),x39691)),f326(f326(f22(a1),a102),x39691))),a102),f326(f326(f22(a1),a102),f326(f326(f81(a1),x39691),x39691)))
% 149.08/148.74 [4004]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f81(a1),x40041),a102)),f326(f326(f81(a1),x40041),a102))),a102),f326(f326(f81(a1),f326(f326(f81(a1),x40041),x40041)),a102))
% 149.08/148.74 [4042]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),a102),x40421)),f326(f326(f22(a1),a102),x40421))),a102),f326(f326(f22(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x40421),x40421)),a102)))
% 149.08/148.74 [4143]E(f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x41431),f2(a872))),f190(f880(f879(a872,a872),a866))))),f326(f105(a1),x41431))
% 149.08/148.74 [4153]E(f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),f331(x41531)),f536(x41531))),f190(f880(f879(a872,a872),a866))))),x41531)
% 149.08/148.74 [4187]E(f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x41871)),f326(f305(a872,a1,f105(a1)),f326(f246(a872),f326(f326(f8(a1,a866,a872),x41871),f105(a1)))))
% 149.08/148.74 [4233]P39(f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x42331)))
% 149.08/148.74 [4254]P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x42541),f190(f880(f879(a872,a872),a866)))),a72))
% 149.08/148.74 [4260]E(f326(f305(a1,a872,a109),f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),f326(f326(f8(a872,a866,a1),x42601),a109)))),f326(f246(a872),x42601))
% 149.08/148.74 [4415]E(f307(a872,f326(f326(f42(f879(a872,a872),f880(a872,a866)),f326(a112,x44151)),f326(f265(a872,a872,f880(a872,a866)),f326(f326(f7(a872,f880(a872,a866),f880(a872,f880(a872,a866))),f326(f326(f8(f880(a872,f880(f880(a872,a866),f880(a872,a866))),f880(f880(a872,a866),f880(a872,f880(a872,a866))),a872),f7(a872,f880(a872,a866),f880(a872,a866))),f326(f326(f8(f880(a872,a872),f880(a872,f880(f880(a872,a866),f880(a872,a866))),a872),f326(f8(a872,f880(f880(a872,a866),f880(a872,a866)),a872),f304(a872))),f22(a872)))),f190(f880(a872,a866)))))),f326(a109,x44151))
% 149.08/148.74 [4550]~P103(f326(f326(f92(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x45501),x45501)),a102)))
% 149.08/148.74 [3892]E(f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),x38921),x38921)),a102)),a102),f326(f326(f81(a1),x38921),x38921))
% 149.08/148.74 [3942]E(f326(f326(f22(a1),f326(f326(f22(a1),f326(f326(f81(a1),x39421),x39421)),a102)),a102),f326(f326(f81(a1),f326(f326(f22(a1),x39421),a102)),f326(f326(f22(a1),x39421),a102)))
% 149.08/148.74 [4161]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f81(a1),f326(f80(a1),x41611)),a102)),f326(f326(f81(a1),f326(f80(a1),x41611)),a102))),a102),f326(f80(a1),f326(f326(f22(a1),f326(f326(f81(a1),x41611),x41611)),a102)))
% 149.08/148.74 [4559]~P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x45591),x45591)),a102)),a84))
% 149.08/148.74 [4205]E(f326(f326(f81(a872),x42051),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(a117,f326(a117,x42051)))
% 149.08/148.74 [4206]E(f326(f326(f82(a872),x42061),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f81(a872),x42061),x42061))
% 149.08/148.74 [4207]E(f326(f326(f39(a872),f326(f326(f81(a872),x42071),x42071)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x42071)
% 149.08/148.74 [4289]E(f45(a872,f326(a117,f326(a117,x42891)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a872,x42891,f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.74 [4430]E(f326(a90,f326(f326(f42(f879(a872,a872),f880(f879(a872,a872),a866)),f326(a112,x44301)),f326(f265(a872,a872,f880(f879(a872,a872),a866)),f326(f326(f8(f880(a872,f880(f879(a872,a872),a866)),f880(a872,f880(f879(a872,a872),a866)),a872),f326(f8(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866),a872),f280(f879(a872,a872),f879(a872,a872),a113))),f326(f326(f7(a872,f880(f879(a872,a872),a866),f880(a872,f880(f879(a872,a872),a866))),f326(f326(f8(f880(a872,f880(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f880(f880(f879(a872,a872),a866),f880(a872,f880(f879(a872,a872),a866))),a872),f7(a872,f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f8(f880(a872,f879(a872,a872)),f880(a872,f880(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),a872),f326(f8(f879(a872,a872),f880(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),a872),f304(f879(a872,a872)))),f326(f7(a872,a872,f879(a872,a872)),f261(a872,a872))))),f190(f880(f879(a872,a872),a866))))))),f326(f80(a1),x44301))
% 149.08/148.74 [4284]E(f326(f326(f81(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x42841),f326(a117,f326(a117,x42841)))
% 149.08/148.74 [4285]E(f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x42851),f326(f326(f81(a872),x42851),x42851))
% 149.08/148.74 [4318]E(f326(f326(f39(a872),f326(a117,f326(a117,x43181))),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(a117,f326(f326(f39(a872),x43181),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.74 [4372]E(f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x43721),f326(a117,f326(a117,f326(a117,x43721))))
% 149.08/148.74 [4438]E(f326(f265(a1,a1,f879(a1,a1)),f326(f326(f18(a1,f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f880(f879(a1,a1),f879(a1,a1))),f880(f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),a1),f18(a1,f879(a1,a1),f879(a1,a1))),f326(f326(f8(f880(a1,f879(a1,a1)),f880(a1,f880(f879(a1,a1),f879(a1,a1))),a1),f326(f18(a1,f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),f326(f326(f8(a866,f880(f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),a1),f101(f879(a1,a1))),f326(f326(f8(a1,a866,a1),f326(f240(a1),f2(a1))),f326(f326(f7(a1,a1,a1),f22(a1)),x44381))))),f326(f326(f7(a1,f880(a1,a1),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f879(a1,a1)),f880(f880(a1,a1),f880(a1,f879(a1,a1))),a1),f8(a1,f879(a1,a1),a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f326(f326(f7(a1,a1,a1),f326(f326(f8(a1,f880(a1,a1),a1),f81(a1)),f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f79(a1))))),f326(f326(f7(a1,a1,a1),f22(a1)),x44381))))),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))),f44(x44381))
% 149.08/148.74 [3122]P95(f878(x31221,x31222))
% 149.08/148.74 [3123]P95(f879(x31231,x31232))
% 149.08/148.74 [3124]P102(f878(x31241,x31242))
% 149.08/148.74 [3125]P102(f879(x31251,x31252))
% 149.08/148.74 [3142]P28(a1,f175(x31421,x31422))
% 149.08/148.74 [3143]P37(x31431,f149(x31431,x31432))
% 149.08/148.74 [3207]P31(x32071,x32072,f118(x32071))
% 149.08/148.74 [3240]P47(x32401,x32402,f258(x32401,x32402))
% 149.08/148.74 [3241]P50(x32411,x32411,f258(x32411,x32412))
% 149.08/148.74 [3516]P21(x35161,x35161,f5(x35161),x35162)
% 149.08/148.74 [3517]P21(x35171,x35171,f35(x35171),x35172)
% 149.08/148.74 [3525]P32(x35251,x35252,f118(x35251),f118(x35251))
% 149.08/148.74 [3526]P21(x35261,f876(x35261),f233(x35261),x35262)
% 149.08/148.74 [3535]P21(f873(x35351),f873(x35351),f165(x35351),x35352)
% 149.08/148.74 [4449]~E(f34(x44491,x44492),a24)
% 149.08/148.74 [4450]~E(f33(x44501,x44502),a24)
% 149.08/148.74 [4482]~P33(x44821,x44822,f118(x44821))
% 149.08/148.74 [4483]~P35(x44831,x44832,f118(x44831))
% 149.08/148.74 [3104]E(f326(f5(x31041),x31042),x31042)
% 149.08/148.74 [3105]E(f326(f246(x31051),x31052),x31052)
% 149.08/148.74 [3107]E(f326(f35(x31071),x31072),x31072)
% 149.08/148.74 [3117]E(f326(f194(x31171),x31172),f120(x31171))
% 149.08/148.74 [3140]E(f86(x31401,f326(a323,x31402)),x31402)
% 149.08/148.74 [3141]E(f91(x31411,f326(a323,x31412)),x31412)
% 149.08/148.74 [3162]E(f326(f132(x31621,x31622),f118(x31621)),f118(x31621))
% 149.08/148.74 [3182]E(f302(x31821,f302(x31821,x31822)),f302(x31821,x31822))
% 149.08/148.74 [3183]E(f148(x31831,f148(x31831,x31832)),f148(x31831,x31832))
% 149.08/148.74 [3203]E(f326(f326(f126(x32031),x32032),f118(x32031)),x32032)
% 149.08/148.74 [3208]E(f169(x32081,x32082,f118(x32081)),x32082)
% 149.08/148.74 [3209]E(f169(x32091,f118(x32091),x32092),x32092)
% 149.08/148.74 [3215]E(f326(f326(f171(x32151),x32152),f118(x32151)),f118(x32151))
% 149.08/148.74 [3216]E(f326(f326(f134(x32161),x32162),f118(x32161)),f118(x32161))
% 149.08/148.74 [3218]E(f234(x32181,x32182,f193(x32181)),f2(a872))
% 149.08/148.74 [3219]E(f151(x32191,x32192,f118(x32191)),f2(a872))
% 149.08/148.74 [3221]E(f166(x32211,x32212,f118(x32211)),f118(x32211))
% 149.08/148.74 [3222]E(f173(x32221,x32222,f118(x32221)),f118(x32221))
% 149.08/148.74 [3223]E(f172(x32231,f118(x32231),x32232),f118(x32231))
% 149.08/148.74 [3227]E(f326(f168(x32271),f148(x32271,x32272)),f326(f168(x32271),x32272))
% 149.08/148.74 [3230]E(f326(f257(x32301,x32301),f258(x32301,x32302)),x32302)
% 149.08/148.74 [3231]E(f326(f259(x32311,x32311),f258(x32311,x32312)),x32312)
% 149.08/148.74 [3239]E(f326(f281(x32391,x32391),f258(x32391,x32392)),f258(x32391,x32392))
% 149.08/148.74 [3254]E(f302(f873(x32541),f153(x32541,x32542)),f154(x32541,f302(x32541,x32542)))
% 149.08/148.74 [3256]P103(f326(f133(a1),f175(x32561,x32562)))
% 149.08/148.74 [3264]E(f326(f257(x32641,x32641),f302(x32641,x32642)),f249(f880(x32641,a866)))
% 149.08/148.74 [3265]E(f326(f259(x32651,x32651),f302(x32651,x32652)),f249(f880(x32651,a866)))
% 149.08/148.74 [3269]P103(f326(f133(x32691),f148(x32691,x32692)))
% 149.08/148.74 [3271]P103(f326(f156(x32711,x32712),f118(x32711)))
% 149.08/148.74 [3279]E(f326(f168(a1),f175(x32791,x32792)),f297(a1,x32791,x32792))
% 149.08/148.74 [3294]P51(x32941,f190(f880(x32941,a866)),x32942)
% 149.08/148.74 [3299]E(f326(f264(a1,a1),f46(x32991,x32992)),f45(a1,x32991,x32992))
% 149.08/148.74 [3300]E(f326(f296(a872,x33001),f326(a117,x33002)),f297(a872,x33001,x33002))
% 149.08/148.74 [3317]E(f326(f326(f147(x33171),x33172),f118(x33171)),f136(x33171,x33172,f118(x33171)))
% 149.08/148.74 [3330]E(f297(a872,f326(a117,x33301),x33302),f299(a872,x33301,x33302))
% 149.08/148.74 [3333]P47(x33331,f249(f880(x33331,a866)),f302(x33331,x33332))
% 149.08/148.74 [3395]E(f326(f326(f22(a872),x33951),f326(a117,x33952)),f326(f38(a872),f300(a872,x33952,x33951)))
% 149.08/148.74 [3454]E(f163(x34541,x34542,f118(x34541)),f326(f326(f261(f873(x34541),f873(x34541)),f118(x34541)),f118(x34541)))
% 149.08/148.74 [3473]E(f326(f265(x34731,x34732,f879(x34731,x34732)),f261(x34731,x34732)),f35(f879(x34731,x34732)))
% 149.08/148.74 [3478]P103(f326(f326(f328(f873(x34781)),f118(x34781)),f157(x34781,x34782)))
% 149.08/148.74 [3479]E(f326(f191(f873(x34791)),f119(x34791,x34792)),f326(f326(f22(a872),f326(f191(f873(x34791)),x34792)),f79(a872)))
% 149.08/148.74 [3486]P103(f326(f62(a872),f297(a872,x34861,x34862)))
% 149.08/148.74 [3487]P103(f326(f62(a872),f300(a872,x34871,x34872)))
% 149.08/148.74 [3488]P103(f326(f62(a872),f299(a872,x34881,x34882)))
% 149.08/148.74 [3489]P103(f326(f62(a1),f297(a1,x34891,x34892)))
% 149.08/148.74 [3490]P103(f326(f62(a1),f300(a1,x34901,x34902)))
% 149.08/148.74 [3491]P103(f326(f62(a1),f299(a1,x34911,x34912)))
% 149.08/148.74 [3592]E(f326(f305(a872,a872,a117),f297(a872,x35921,x35922)),f297(a872,f326(a117,x35921),f326(a117,x35922)))
% 149.08/148.74 [3612]E(f326(f326(f283(x36121,x36121,x36121),f302(x36121,x36122)),f302(x36121,x36122)),f302(x36121,x36122))
% 149.08/148.74 [3645]E(f326(f326(f261(a1,a1),f326(f326(f39(a1),x36451),x36452)),f45(a1,x36451,x36452)),f46(x36451,x36452))
% 149.08/148.74 [3646]E(f326(f326(f261(a104,a104),f326(f326(f39(a104),x36461),x36462)),f45(a104,x36461,x36462)),f21(x36461,x36462))
% 149.08/148.74 [3675]E(f326(f326(f261(a872,a872),f326(f326(f39(a872),x36751),x36752)),f45(a872,x36751,x36752)),f86(f879(a872,a872),f48(x36751,x36752)))
% 149.08/148.74 [3726]P103(f326(f326(f241(a872),f326(f326(f22(a872),x37261),x37262)),f326(a117,x37261)))
% 149.08/148.74 [3824]E(f326(f326(f81(a1),f326(f326(f82(a1),x38241),f326(f326(f39(a1),x38242),x38241))),f45(a1,x38242,x38241)),x38242)
% 149.08/148.74 [3828]E(f326(f326(f42(a872,f880(f879(f873(x38281),f873(x38281)),a866)),f249(f880(a872,a866))),f139(x38281,x38282)),f141(x38281,x38282))
% 149.08/148.74 [4055]P103(f326(f326(f328(f879(f873(x40551),f873(x40551))),f326(f326(f261(f873(x40551),f873(x40551)),f118(x40551)),f118(x40551))),f154(x40551,x40552)))
% 149.08/148.74 [4218]E(f266(x42181,x42181,x42182,x42182,f5(x42181),f5(x42182)),f35(f879(x42181,x42182)))
% 149.08/148.74 [4220]E(f266(x42201,x42201,x42202,x42202,f35(x42201),f35(x42202)),f35(f879(x42201,x42202)))
% 149.08/148.74 [4458]~E(f326(f233(x44581),x44582),f193(x44581))
% 149.08/148.74 [4470]~P38(x44701,f326(f233(x44701),x44702))
% 149.08/148.74 [3201]E(f326(f237(x32011),f326(f233(x32011),x32012)),x32012)
% 149.08/148.74 [3202]E(f326(f165(x32021),f326(f165(x32021),x32022)),x32022)
% 149.08/148.74 [3204]E(f326(f326(f134(x32041),f2(a872)),x32042),x32042)
% 149.08/148.74 [3217]E(f326(f326(f171(x32171),f2(a872)),x32172),f118(x32171))
% 149.08/148.74 [3225]E(f326(f326(f126(x32251),f118(x32251)),x32252),x32252)
% 149.08/148.74 [3233]E(f326(f191(f876(x32331)),f326(f233(x32331),x32332)),f2(a872))
% 149.08/148.74 [3235]E(f40(f880(x32351,a866),f326(f303(x32351),x32352)),x32352)
% 149.08/148.74 [3237]E(f326(f168(x32371),f326(f164(x32371),x32372)),f326(f168(x32371),x32372))
% 149.08/148.74 [3238]E(f326(f168(x32381),f326(f165(x32381),x32382)),f326(f168(x32381),x32382))
% 149.08/148.74 [3243]E(f326(f326(f22(a104),x32431),x32432),f326(f326(a23,x32431),x32432))
% 149.08/148.74 [3258]E(f326(f326(f81(a872),x32581),x32582),f326(f326(f81(a872),x32582),x32581))
% 149.08/148.74 [3259]E(f326(f326(f81(a1),x32591),x32592),f326(f326(f81(a1),x32592),x32591))
% 149.08/148.74 [3260]E(f326(f326(f82(a872),x32601),x32602),f326(f326(f82(a872),x32602),x32601))
% 149.08/148.74 [3261]E(f326(f326(f82(a1),x32611),x32612),f326(f326(f82(a1),x32612),x32611))
% 149.08/148.74 [3286]E(f326(f326(f185(x32861,x32861),f2(a872)),x32862),f35(x32861))
% 149.08/148.74 [3287]E(f326(f191(f873(x32871)),f326(f164(x32871),x32872)),f326(f191(f873(x32871)),x32872))
% 149.08/148.74 [3288]E(f326(f191(f873(x32881)),f326(f165(x32881),x32882)),f326(f191(f873(x32881)),x32882))
% 149.08/148.74 [3289]E(f172(x32891,x32892,f190(f880(a872,a866))),f118(x32891))
% 149.08/148.74 [3290]E(f326(f326(f150(x32901,x32901),f5(x32901)),x32902),x32902)
% 149.08/148.74 [3292]E(f326(f260(a1,a1),f46(x32921,x32922)),f326(f326(f39(a1),x32921),x32922))
% 149.08/148.74 [3310]E(f326(f191(f873(x33101)),f148(x33101,x33102)),f326(f38(x33101),f326(f168(x33101),x33102)))
% 149.08/148.74 [3311]E(f32(f33(x33111,x33112)),f326(f326(f81(a872),f32(x33112)),f326(a117,f2(a872))))
% 149.08/148.74 [3312]E(f326(f279(x33121),f326(f281(x33121,x33121),x33122)),f326(f279(x33121),x33122))
% 149.08/148.74 [3316]P103(f326(f62(x33161),f326(f168(x33161),x33162)))
% 149.08/148.74 [3324]E(f326(f326(f81(a1),x33241),f326(f80(a1),x33242)),f326(f326(f22(a1),x33241),x33242))
% 149.08/148.74 [3332]P20(x33321,x33322,f190(f880(f871(x33321),a866)))
% 149.08/148.74 [3334]E(f326(f305(x33341,x33341,f5(x33341)),x33342),x33342)
% 149.08/148.74 [3335]E(f326(f305(x33351,x33351,f35(x33351)),x33352),x33352)
% 149.08/148.74 [3336]E(f326(f306(x33361,x33361,f5(x33361)),x33362),x33362)
% 149.08/148.74 [3337]E(f326(f306(x33371,x33371,f35(x33371)),x33372),x33372)
% 149.08/148.74 [3338]P103(f326(f249(f880(x33381,a866)),x33382))
% 149.08/148.74 [3340]E(f326(f38(a872),f326(f296(a872,x33401),x33402)),f326(f326(f22(a872),x33402),x33401))
% 149.08/148.74 [3341]E(f326(f296(a872,f326(a117,x33411)),x33412),f300(a872,x33411,x33412))
% 149.08/148.74 [3353]E(f326(f326(f304(x33531),x33532),f190(f880(x33531,a866))),f326(f246(x33531),f326(a323,x33532)))
% 149.08/148.74 [3357]E(f326(f326(f304(x33571),x33572),f190(f880(x33571,a866))),f232(x33571,f326(f233(x33571),x33572)))
% 149.08/148.74 [3359]E(f302(x33591,f326(f281(x33591,x33591),x33592)),f326(f281(x33591,x33591),f302(x33591,x33592)))
% 149.08/148.74 [3364]E(f326(f326(f81(a872),f326(a117,x33641)),x33642),f326(f326(f81(a872),x33641),f326(a117,x33642)))
% 149.08/148.74 [3365]E(f326(f326(f22(a872),f326(a117,x33651)),f326(a117,x33652)),f326(f326(f22(a872),x33651),x33652))
% 149.08/148.74 [3371]E(f55(x33711,f2(a872),x33712),f326(f326(f147(f873(x33711)),f118(x33711)),f118(f873(x33711))))
% 149.08/148.74 [3372]E(f326(f38(a872),f299(a872,x33721,x33722)),f326(f326(f22(a872),x33722),x33721))
% 149.08/148.74 [3381]P37(x33811,f326(f326(f282(a872,x33811),a245),x33812))
% 149.08/148.74 [3383]P28(a872,f135(a872,f326(f296(a872,x33831),x33832)))
% 149.08/148.74 [3385]P103(f326(f62(a872),f326(f296(a872,x33851),x33852)))
% 149.08/148.74 [3386]P103(f326(f62(a1),f326(f296(a1,x33861),x33862)))
% 149.08/148.74 [3388]E(f326(f281(f873(x33881),f873(x33881)),f153(x33881,x33882)),f153(x33881,f326(f281(x33881,x33881),x33882)))
% 149.08/148.74 [3389]E(f326(f191(a868),f33(x33891,x33892)),f326(f326(f81(a872),f326(f191(a868),x33892)),f326(a117,f2(a872))))
% 149.08/148.74 [3391]E(f326(f296(a1,x33911),f326(f326(f81(a1),x33912),f79(a1))),f297(a1,x33911,x33912))
% 149.08/148.74 [3394]E(f326(f326(f39(a1),f326(f80(a1),x33941)),f326(f80(a1),x33942)),f326(f326(f39(a1),x33941),x33942))
% 149.08/148.74 [3402]E(f180(x34021,x34022,f326(f16(f876(x34022),x34021),f193(x34022))),f190(f880(x34021,a866)))
% 149.08/148.74 [3403]E(f182(x34031,x34032,f326(f16(f876(x34032),x34031),f193(x34032))),f190(f880(x34032,a866)))
% 149.08/148.74 [3404]E(f326(f326(f185(f879(x34041,x34041),a866),f79(a872)),x34042),x34042)
% 149.08/148.74 [3406]E(f326(f326(f115(f880(x34061,a866)),x34062),f190(f880(x34061,a866))),x34062)
% 149.08/148.74 [3407]E(f326(f326(f22(f880(x34071,a866)),x34072),f190(f880(x34071,a866))),x34072)
% 149.08/148.74 [3408]E(f326(f326(f106(f880(x34081,a866)),x34082),f249(f880(x34081,a866))),x34082)
% 149.08/148.74 [3409]E(f326(f260(a872,a872),f86(f879(a872,a872),f48(x34091,x34092))),f326(f326(f39(a872),x34091),x34092))
% 149.08/148.74 [3416]E(f308(x34161,f326(a20,x34162),f326(f80(a1),f326(a20,x34162))),f326(f326(f311(a1),x34161),x34162))
% 149.08/148.74 [3417]E(f297(a1,f326(f326(f81(a1),x34171),f79(a1)),x34172),f299(a1,x34171,x34172))
% 149.08/148.74 [3422]E(f326(f264(a872,a872),f86(f879(a872,a872),f48(x34221,x34222))),f45(a872,x34221,x34222))
% 149.08/148.74 [3430]E(f309(x34301,f326(a20,x34302),f326(f80(a1),f326(a20,x34302))),f310(a1,x34301,x34302))
% 149.08/148.74 [3433]P103(f326(f326(f328(x34331),x34332),f249(f880(x34331,a866))))
% 149.08/148.74 [3438]E(f326(f326(f22(a872),f326(a117,x34381)),x34382),f326(f38(a872),f297(a872,x34382,x34381)))
% 149.08/148.74 [3465]E(f326(f326(f115(f880(x34651,a866)),x34652),f249(f880(x34651,a866))),f249(f880(x34651,a866)))
% 149.08/148.74 [3466]E(f326(f326(f22(f880(x34661,a866)),x34662),f249(f880(x34661,a866))),f190(f880(x34661,a866)))
% 149.08/148.74 [3467]E(f326(f326(f106(f880(x34671,a866)),x34672),f190(f880(x34671,a866))),f190(f880(x34671,a866)))
% 149.08/148.74 [3481]E(f45(a1,f326(f80(a1),x34811),f326(f80(a1),x34812)),f326(f80(a1),f45(a1,x34811,x34812)))
% 149.08/148.74 [3482]E(f45(a1,f326(f105(a1),x34821),f326(f105(a1),x34822)),f326(f105(a1),f45(a872,x34821,x34822)))
% 149.08/148.74 [3493]E(f326(f191(f873(x34931)),f326(f167(x34931),x34932)),f326(f326(f22(a872),f326(f191(f873(x34931)),x34932)),f79(a872)))
% 149.08/148.74 [3518]E(f326(f326(f39(a1),f45(a1,x35181,x35182)),x35182),f2(a1))
% 149.08/148.74 [3528]E(f326(a3,f45(a872,f326(a19,x35281),f326(a19,x35282))),f45(a104,x35281,x35282))
% 149.08/148.74 [3561]E(f326(a3,f326(f326(f22(a872),f326(a19,x35611)),f326(a19,x35612))),f326(f326(f22(a104),x35611),x35612))
% 149.08/148.74 [3562]E(f326(a3,f326(f326(f81(a872),f326(a19,x35621)),f326(a19,x35622))),f326(f326(f81(a104),x35621),x35622))
% 149.08/148.74 [3563]E(f326(a3,f326(f326(f82(a872),f326(a19,x35631)),f326(a19,x35632))),f326(f326(f82(a104),x35631),x35632))
% 149.08/148.74 [3564]E(f326(a3,f326(f326(f39(a872),f326(a19,x35641)),f326(a19,x35642))),f326(f326(f39(a104),x35641),x35642))
% 149.08/148.74 [3573]E(f326(f305(a872,a872,a117),f326(f296(a872,x35731),x35732)),f326(f296(a872,f326(a117,x35731)),f326(a117,x35732)))
% 149.08/148.74 [3597]P103(f326(f48(x35971,x35972),f86(f879(a872,a872),f48(x35971,x35972))))
% 149.08/148.74 [3618]E(f326(f326(f81(a872),f326(f326(f81(a872),f32(x36181)),f32(x36182))),f326(a117,f2(a872))),f32(f34(x36181,x36182)))
% 149.08/148.74 [3619]E(f45(a872,f326(a117,f45(a872,x36191,x36192)),x36192),f45(a872,f326(a117,x36191),x36192))
% 149.08/148.74 [3633]E(f326(f326(f42(f880(x36331,a866),f880(x36331,a866)),x36332),f5(f880(x36331,a866))),f40(f880(x36331,a866),x36332))
% 149.08/148.74 [3634]E(f326(f326(f43(f880(x36341,a866),f880(x36341,a866)),x36342),f5(f880(x36341,a866))),f41(f880(x36341,a866),x36342))
% 149.08/148.74 [3635]E(f326(f305(f873(x36351),f880(x36351,a866),f168(x36351)),f326(f168(f873(x36351)),f54(x36351,x36352))),f326(f303(x36351),f326(f168(x36351),x36352)))
% 149.08/148.74 [3638]P103(f326(f326(f328(f880(x36381,a866)),x36382),f326(f303(x36381),x36382)))
% 149.08/148.74 [3644]E(f45(a1,f326(f80(a1),f45(a1,x36441,x36442)),x36442),f45(a1,f326(f80(a1),x36441),x36442))
% 149.08/148.74 [3656]P103(f326(f326(f240(f880(x36561,a866)),x36562),f249(f880(x36561,a866))))
% 149.08/148.74 [3658]E(f326(f326(f283(x36581,x36581,x36581),f302(x36581,x36582)),f302(x36581,f302(x36581,x36582))),f302(x36581,x36582))
% 149.08/148.74 [3659]E(f326(f326(f115(f880(x36591,a866)),f326(f259(x36591,x36591),x36592)),f326(f257(x36591,x36591),x36592)),f326(f279(x36591),x36592))
% 149.08/148.74 [3680]E(f313(x36801,x36802,f249(f880(x36801,a866)),f249(f880(x36802,a866))),f249(f880(f878(x36801,x36802),a866)))
% 149.08/148.74 [3731]P103(f326(f326(f240(a872),f45(a872,x37311,x37312)),x37311))
% 149.08/148.74 [3753]P103(f326(f326(f240(a1),f326(f80(a1),f326(f105(a1),x37531))),f326(f105(a1),x37532)))
% 149.08/148.74 [3779]P103(f326(f326(f328(f880(x37791,a866)),f190(f880(x37791,a866))),f326(f303(x37791),x37792)))
% 149.08/148.74 [3784]E(f302(x37841,f326(f326(f283(x37841,x37841,x37841),x37842),f302(x37841,x37842))),f302(x37841,x37842))
% 149.08/148.74 [3787]E(f326(f326(f283(x37871,x37871,x37871),f302(x37871,x37872)),x37872),f326(f326(f283(x37871,x37871,x37871),x37872),f302(x37871,x37872)))
% 149.08/148.74 [3789]E(f326(a109,f326(f326(f81(a1),f326(f326(f22(a1),x37891),x37892)),f79(a1))),f326(f38(a1),f297(a1,x37892,x37891)))
% 149.08/148.74 [3804]E(f326(f257(x38041,x38041),f326(f326(f283(x38041,x38041,x38041),x38042),f302(x38041,x38042))),f326(f257(x38041,x38041),x38042))
% 149.08/148.74 [3805]E(f326(f259(x38051,x38051),f326(f326(f283(x38051,x38051,x38051),x38052),f302(x38051,x38052))),f326(f259(x38051,x38051),x38052))
% 149.08/148.74 [3821]E(f326(f326(f81(a872),f326(f326(f81(a872),f326(f191(a868),x38211)),f326(f191(a868),x38212))),f326(a117,f2(a872))),f326(f191(a868),f34(x38211,x38212)))
% 149.08/148.74 [3832]P21(a872,a872,f326(f326(f7(a872,a872,a872),f81(a872)),x38321),x38322)
% 149.08/148.74 [3834]P28(a872,f326(f165(a872),f326(f326(f150(f873(x38341),a872),f191(f873(x38341))),f176(x38341,x38342))))
% 149.08/148.74 [3879]P103(f326(f326(f241(a1),f326(f80(a1),f326(f105(a1),f326(a117,x38791)))),f326(f105(a1),x38792)))
% 149.08/148.74 [3924]E(f326(f138(f873(x39241),x39241,f326(f7(x39241,f873(x39241),f873(x39241)),f147(x39241)),f118(x39241)),x39242),f326(f165(x39241),x39242))
% 149.08/148.74 [3976]P103(f326(f326(f240(f880(f879(f873(x39761),f873(x39761)),a866)),f154(x39761,x39762)),f302(f873(x39761),f153(x39761,x39762))))
% 149.08/148.74 [4008]P103(f326(f48(x40081,x40082),f326(f326(f261(a872,a872),f326(f326(f39(a872),x40081),x40082)),f45(a872,x40081,x40082))))
% 149.08/148.74 [4019]P103(f326(f326(f240(f880(f879(f873(x40191),f873(x40191)),a866)),f153(x40191,f302(x40191,x40192))),f302(f873(x40191),f153(x40191,x40192))))
% 149.08/148.74 [4244]E(f326(f326(f267(f879(a104,a104),a104,f879(a104,a104),f879(x42441,f879(a104,a104))),f271(f326(f162(a104),f326(f326(f150(f879(a104,x42441),a104),f260(a104,x42441)),x42442)))),f326(f326(f8(x42441,f880(f879(a104,a104),f879(x42441,f879(a104,a104))),a104),f261(x42441,f879(a104,a104))),f272(x42441,x42442))),f270(x42441,x42442))
% 149.08/148.74 [4354]E(f326(f235(a872,f879(x43541,f874(x43541)),f2(a872),f326(f265(x43541,f874(x43541),a872),f326(f16(f880(f874(x43541),a872),x43541),f326(f326(f7(f874(x43541),a872,a872),f326(f326(f8(a872,f880(a872,a872),f874(x43541)),f81(a872)),f191(f874(x43541)))),f79(a872))))),f326(f129(x43541),x43542)),f326(f191(f874(x43541)),x43542))
% 149.08/148.74 [4429]E(f326(f265(f880(f879(x44291,x44291),a866),f880(f879(x44291,x44291),a866),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f326(f326(f7(f880(f879(x44291,x44291),a866),f880(f880(f879(x44291,x44291),a866),f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866))),f880(f880(f879(x44291,x44291),a866),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866))))),f326(f326(f8(f880(f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866)),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f880(f880(f880(f879(x44291,x44291),a866),f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866))),f880(f880(f879(x44291,x44291),a866),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866))))),f880(f879(x44291,x44291),a866)),f8(f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866)),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866))),f880(f879(x44291,x44291),a866))),f326(f326(f8(f880(f880(x44292,x44291),f880(f880(f879(x44292,x44292),a866),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f880(f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866)),f880(f880(x44292,x44291),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f880(f879(x44291,x44291),a866)),f18(f880(x44292,x44291),f880(f879(x44292,x44292),a866),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f326(f326(f8(f880(f880(x44292,x44291),f880(f879(x44292,x44292),a866)),f880(f880(x44292,x44291),f880(f880(f879(x44292,x44292),a866),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f880(f879(x44291,x44291),a866)),f326(f8(f880(f879(x44292,x44292),a866),f880(f880(f879(x44292,x44292),a866),f879(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866))),f880(x44292,x44291)),f261(f880(f879(x44292,x44292),a866),f880(f879(x44292,x44292),a866)))),f282(x44291,x44292))))),f282(x44291,x44292))),f75(x44291,x44292))
% 149.08/148.74 [4514]~E(f326(f303(x45141),x45142),f190(f880(f880(x45141,a866),a866)))
% 149.08/148.74 [4532]~P103(f326(f326(f328(x45321),x45322),f190(f880(x45321,a866))))
% 149.08/148.74 [4542]~P103(f326(f326(f241(f880(x45421,a866)),x45422),f190(f880(x45421,a866))))
% 149.08/148.74 [3343]E(f326(f326(f22(a872),x33431),f326(f326(f81(a872),x33431),x33432)),f2(a872))
% 149.08/148.74 [3345]E(f326(f326(f115(f880(x33451,a866)),x33452),x33452),x33452)
% 149.08/148.74 [3346]E(f326(f326(f106(f880(x33461,a866)),x33462),x33462),x33462)
% 149.08/148.74 [3374]E(f326(f326(f22(f880(x33741,a866)),x33742),x33742),f190(f880(x33741,a866)))
% 149.08/148.74 [3377]E(f326(f139(x33771,x33772),f2(a872)),f190(f880(f879(f873(x33771),f873(x33771)),a866)))
% 149.08/148.74 [3378]E(f326(f326(f81(a872),x33781),f326(a117,x33782)),f326(a117,f326(f326(f81(a872),x33781),x33782)))
% 149.08/148.74 [3390]E(f198(f326(f105(a1),x33901),f326(f105(a1),x33902)),f326(f105(a1),f326(f326(f22(a872),x33901),x33902)))
% 149.08/148.74 [3393]E(f326(f326(f39(a1),f326(f80(a1),x33931)),x33932),f326(f326(f39(a1),x33931),f326(f80(a1),x33932)))
% 149.08/148.74 [3397]E(f326(f38(a1),f326(f296(a1,x33971),x33972)),f326(a109,f326(f326(f22(a1),x33972),x33971)))
% 149.08/148.74 [3400]E(f326(f326(f81(a872),f326(a117,x34001)),x34002),f326(a117,f326(f326(f81(a872),x34001),x34002)))
% 149.08/148.74 [3405]E(f326(f80(f880(x34051,a866)),f326(f80(f880(x34051,a866)),x34052)),x34052)
% 149.08/148.74 [3419]E(f176(x34191,f326(f326(f147(f873(x34191)),f118(x34191)),x34192)),f176(x34191,x34192))
% 149.08/148.74 [3423]E(f326(f326(f81(a872),x34231),f326(f326(f82(a872),x34231),x34232)),f326(f326(f82(a872),x34231),f326(a117,x34232)))
% 149.08/148.74 [3431]E(f326(f326(a23,f326(a3,x34311)),f326(a3,x34312)),f326(a3,f326(f326(f22(a872),x34311),x34312)))
% 149.08/148.74 [3445]E(f326(f326(f82(a1),f326(f80(a1),x34451)),x34452),f326(f80(a1),f326(f326(f82(a1),x34451),x34452)))
% 149.08/148.74 [3447]E(f326(f326(f251(a1),f326(f105(a1),x34471)),x34472),f326(f105(a1),f326(f326(f251(a872),x34471),x34472)))
% 149.08/148.74 [3448]E(f326(f326(f81(a104),f326(a3,x34481)),f326(a3,x34482)),f326(a3,f326(f326(f81(a872),x34481),x34482)))
% 149.08/148.74 [3449]E(f326(f326(f82(a104),f326(a3,x34491)),f326(a3,x34492)),f326(a3,f326(f326(f82(a872),x34491),x34492)))
% 149.08/148.74 [3450]E(f326(f326(f238(a872),f326(a117,x34501)),f326(a117,x34502)),f326(a117,f326(f326(f238(a872),x34501),x34502)))
% 149.08/148.74 [3451]E(f326(f326(f239(a872),f326(a117,x34511)),f326(a117,x34512)),f326(a117,f326(f326(f239(a872),x34511),x34512)))
% 149.08/148.74 [3457]E(f326(f168(a872),f135(a872,f326(f296(a872,x34571),x34572))),f326(f296(a872,x34571),x34572))
% 149.08/148.74 [3458]E(f307(x34581,f326(f326(f304(x34581),x34582),f190(f880(x34581,a866)))),x34582)
% 149.08/148.74 [3463]E(f326(f257(x34631,x34632),f190(f880(f879(x34631,x34632),a866))),f190(f880(x34632,a866)))
% 149.08/148.74 [3464]E(f326(f259(x34641,x34642),f190(f880(f879(x34641,x34642),a866))),f190(f880(x34641,a866)))
% 149.08/148.74 [3468]E(f326(a109,f326(f326(f22(a1),x34681),x34682)),f326(f38(a1),f299(a1,x34682,x34681)))
% 149.08/148.74 [3472]E(f326(f326(f81(a872),x34721),f326(f326(f82(a872),x34722),x34721)),f326(f326(f82(a872),f326(a117,x34722)),x34721))
% 149.08/148.74 [3474]E(f326(f326(f61(x34741),f190(f880(x34741,a866))),x34742),f190(f880(f880(x34741,a866),a866)))
% 149.08/148.74 [3483]E(f326(f191(f873(a872)),f135(a872,f326(f296(a872,x34831),x34832))),f326(f326(f22(a872),x34832),x34831))
% 149.08/148.74 [3498]E(f326(f326(f115(f880(x34981,a866)),f190(f880(x34981,a866))),x34982),x34982)
% 149.08/148.74 [3499]E(f326(f326(f106(f880(x34991,a866)),f249(f880(x34991,a866))),x34992),x34992)
% 149.08/148.74 [3500]E(f326(f326(f81(a1),f326(f80(a1),x35001)),f326(f80(a1),x35002)),f326(f80(a1),f326(f326(f81(a1),x35001),x35002)))
% 149.08/148.74 [3505]E(f326(f326(f81(a1),f326(f105(a1),x35051)),f326(f105(a1),x35052)),f326(f105(a1),f326(f326(f81(a872),x35051),x35052)))
% 149.08/148.74 [3506]E(f326(f326(f81(a1),f326(f108(a1),x35061)),f326(f108(a1),x35062)),f326(f108(a1),f326(f326(f81(a1),x35061),x35062)))
% 149.08/148.74 [3508]E(f326(f326(f82(a1),f326(f105(a1),x35081)),f326(f105(a1),x35082)),f326(f105(a1),f326(f326(f82(a872),x35081),x35082)))
% 149.08/148.74 [3509]E(f326(f326(f82(a1),f326(f108(a1),x35091)),f326(f108(a1),x35092)),f326(f108(a1),f326(f326(f82(a1),x35091),x35092)))
% 149.08/148.74 [3510]E(f326(f326(f39(a1),f326(f105(a1),x35101)),f326(f105(a1),x35102)),f326(f105(a1),f326(f326(f39(a872),x35101),x35102)))
% 149.08/148.74 [3529]E(f326(f326(f6(x35291,a872),f326(f16(a872,x35291),f79(a872))),x35292),f326(f38(x35291),x35292))
% 149.08/148.74 [3536]E(f326(f80(a1),f45(a1,f326(f80(a1),x35361),x35362)),f45(a1,x35361,f326(f80(a1),x35362)))
% 149.08/148.74 [3538]E(f326(f168(a1),f175(x35381,f326(f326(f22(a1),x35382),f79(a1)))),f326(f296(a1,x35381),x35382))
% 149.08/148.74 [3542]P103(f326(f326(f240(a872),x35421),f326(f326(f81(a872),x35422),x35421)))
% 149.08/148.74 [3543]P103(f326(f326(f240(a872),x35431),f326(f326(f81(a872),x35431),x35432)))
% 149.08/148.74 [3546]E(f326(f326(f115(f880(x35461,a866)),f249(f880(x35461,a866))),x35462),f249(f880(x35461,a866)))
% 149.08/148.74 [3547]E(f326(f326(f22(f880(x35471,a866)),f190(f880(x35471,a866))),x35472),f190(f880(x35471,a866)))
% 149.08/148.74 [3548]E(f326(f326(f106(f880(x35481,a866)),f190(f880(x35481,a866))),x35482),f190(f880(x35481,a866)))
% 149.08/148.74 [3553]E(f326(f326(f261(a1,a1),x35531),f326(f80(a1),x35532)),f326(a51,f326(f326(f261(a1,a1),x35531),x35532)))
% 149.08/148.74 [3554]E(f326(f296(a1,f326(f326(f81(a1),x35541),f79(a1))),x35542),f300(a1,x35541,x35542))
% 149.08/148.74 [3565]E(f326(f326(f82(a872),x35651),f326(f326(f39(a872),x35652),x35651)),f326(f326(f22(a872),x35652),f45(a872,x35652,x35651)))
% 149.08/148.74 [3566]E(f326(f326(f82(a1),x35661),f326(f326(f39(a1),x35662),x35661)),f326(f326(f22(a1),x35662),f45(a1,x35662,x35661)))
% 149.08/148.74 [3570]E(f326(f168(a1),f175(f326(f326(f81(a1),x35701),f79(a1)),x35702)),f299(a1,x35701,x35702))
% 149.08/148.74 [3574]P103(f326(f326(f240(f880(x35741,a866)),x35742),x35742))
% 149.08/148.74 [3577]E(f326(f326(f115(f880(x35771,a866)),x35772),f326(f80(f880(x35771,a866)),x35772)),f249(f880(x35771,a866)))
% 149.08/148.74 [3578]E(f326(f326(f106(f880(x35781,a866)),x35782),f326(f80(f880(x35781,a866)),x35782)),f190(f880(x35781,a866)))
% 149.08/148.74 [3584]E(f326(f326(f22(a872),f326(f326(f22(a872),x35841),f79(a872))),x35842),f326(f326(f22(a872),x35841),f326(a117,x35842)))
% 149.08/148.74 [3589]E(f326(f326(f22(f880(x35891,a866)),f249(f880(x35891,a866))),x35892),f326(f80(f880(x35891,a866)),x35892))
% 149.08/148.74 [3590]E(f326(f326(f22(a1),f326(f108(a1),x35901)),f326(f108(a1),x35902)),f326(f108(a1),f326(f326(f81(a1),x35901),f326(f80(a1),x35902))))
% 149.08/148.74 [3602]E(f326(f168(a872),f135(a872,f326(f296(a872,x36021),f326(a117,x36022)))),f297(a872,x36021,x36022))
% 149.08/148.74 [3610]P103(f326(f326(f326(f326(a199,a24),x36101),x36102),x36101))
% 149.08/148.74 [3616]E(f326(f191(f873(f873(x36161))),f54(x36161,x36162)),f326(f326(f251(a872),f326(a117,f326(a117,f2(a872)))),f326(f191(f873(x36161)),x36162)))
% 149.08/148.74 [3636]E(f326(f326(f185(f879(x36361,x36361),a866),f2(a872)),x36362),f302(x36361,f190(f880(f879(x36361,x36361),a866))))
% 149.08/148.74 [3640]P103(f326(f133(a872),f135(a872,f326(f296(a872,x36401),x36402))))
% 149.08/148.74 [3657]E(f326(f305(a1,a872,a109),f297(a1,f326(f105(a1),x36571),f326(f105(a1),x36572))),f297(a872,x36571,x36572))
% 149.08/148.74 [3667]E(f187(a872,f2(a872),f5(a872),f326(f326(f22(a872),x36671),x36672)),f326(f326(f22(a872),x36671),f326(a117,x36672)))
% 149.08/148.74 [3668]E(f326(a109,f326(f326(f22(a1),x36681),f326(f326(f81(a1),x36682),f79(a1)))),f326(f38(a1),f300(a1,x36682,x36681)))
% 149.08/148.74 [3704]E(f326(f326(f150(a872,a872),a117),f135(a872,f326(f296(a872,x37041),x37042))),f135(a872,f326(f296(a872,f326(a117,x37041)),f326(a117,x37042))))
% 149.08/148.74 [3711]E(f326(f168(a1),f175(f326(f326(f81(a1),x37111),f79(a1)),f326(f326(f22(a1),x37112),f79(a1)))),f300(a1,x37111,x37112))
% 149.08/148.74 [3722]P103(f326(f326(f240(f880(x37221,a866)),f190(f880(x37221,a866))),x37222))
% 149.08/148.74 [3727]E(f86(x37271,f326(f326(f7(x37271,x37271,a866),a323),x37272)),x37272)
% 149.08/148.74 [3728]E(f91(x37281,f326(f326(f7(x37281,x37281,a866),a323),x37282)),x37282)
% 149.08/148.74 [3732]E(f326(f168(a872),f135(a872,f326(f296(a872,f326(a117,x37321)),f326(a117,x37322)))),f299(a872,x37321,x37322))
% 149.08/148.74 [3756]E(f326(f326(f263(x37561,x37562),f249(f880(x37561,a866))),f326(f16(f880(x37562,a866),x37561),f249(f880(x37562,a866)))),f249(f880(f879(x37561,x37562),a866)))
% 149.08/148.74 [3791]E(f326(f246(x37911),f326(f326(f8(a866,a866,x37911),a321),x37912)),f326(f80(f880(x37911,a866)),f326(f246(x37911),x37912)))
% 149.08/148.74 [3794]E(f326(f246(x37941),f326(f326(f7(x37941,x37941,a866),a323),x37942)),f326(f326(f304(x37941),x37942),f190(f880(x37941,a866))))
% 149.08/148.74 [3801]E(f326(f326(f81(a1),f326(f326(f22(a1),x38011),x38012)),f326(f326(f22(a1),x38011),x38012)),f326(f326(f22(a1),f326(f326(f81(a1),x38011),x38011)),f326(f326(f81(a1),x38012),x38012)))
% 149.08/148.74 [3802]E(f326(f326(f81(a1),f326(f326(f81(a1),x38021),x38021)),f326(f326(f81(a1),x38022),x38022)),f326(f326(f81(a1),f326(f326(f81(a1),x38021),x38022)),f326(f326(f81(a1),x38021),x38022)))
% 149.08/148.74 [3818]P103(f326(f326(f240(a872),f326(f38(x38181),f326(f168(x38181),x38182))),f326(f191(f873(x38181)),x38182)))
% 149.08/148.74 [3819]P103(f326(f326(f240(a872),f326(f191(f873(x38191)),f148(x38191,x38192))),f326(f191(f873(x38191)),x38192)))
% 149.08/148.74 [3829]E(f326(f246(x38291),f326(f326(f7(x38291,f880(x38291,a866),a866),f328(x38291)),x38292)),x38292)
% 149.08/148.74 [3844]E(f326(f326(f171(x38441),f326(f326(f22(a872),f326(f191(f873(x38441)),x38442)),f79(a872))),x38442),f119(x38441,x38442))
% 149.08/148.74 [3866]E(f187(a872,f2(a872),f326(f326(f8(a872,a872,a872),a117),f326(f238(a872),x38661)),x38662),f326(f326(f238(a872),f326(a117,x38661)),x38662))
% 149.08/148.74 [3870]E(f40(f880(x38701,a866),f326(f305(f880(f879(x38701,x38701),a866),f880(x38701,a866),f279(x38701)),x38702)),f326(f279(x38701),f40(f880(f879(x38701,x38701),a866),x38702)))
% 149.08/148.74 [3871]E(f187(a872,f326(a117,x38711),f326(f326(f8(a872,a872,a872),a117),f326(f239(a872),x38711)),x38712),f326(f326(f239(a872),f326(a117,x38711)),x38712))
% 149.08/148.74 [3873]E(f326(f326(f261(a1,a1),f326(f326(f39(a1),f326(f76(a1),x38731)),f326(f76(a1),x38732))),f45(a1,f326(f76(a1),x38731),f326(f76(a1),x38732))),f53(x38731,x38732))
% 149.08/148.74 [3895]P103(f326(f326(f240(f880(f880(x38951,a866),a866)),x38952),f326(f303(x38951),f40(f880(x38951,a866),x38952))))
% 149.08/148.74 [3929]E(f326(f326(f42(x39291,f880(x39291,a866)),x39292),f326(f326(f7(x39291,f880(x39291,a866),f880(x39291,a866)),f304(x39291)),f190(f880(x39291,a866)))),x39292)
% 149.08/148.74 [3930]E(f326(f326(f283(x39301,x39301,x39301),f326(f281(x39301,x39301),x39302)),f302(x39301,f326(f281(x39301,x39301),x39302))),f326(f281(x39301,x39301),f326(f326(f283(x39301,x39301,x39301),x39302),f302(x39301,x39302))))
% 149.08/148.74 [3999]E(f326(f168(x39991),f326(f138(f873(x39991),f873(x39991),f126(x39991),f118(x39991)),x39992)),f326(f326(f42(f873(x39991),f880(x39991,a866)),f326(f168(f873(x39991)),x39992)),f168(x39991)))
% 149.08/148.74 [4031]E(f326(f326(f115(f880(f879(x40311,x40311),a866)),f302(x40311,f190(f880(f879(x40311,x40311),a866)))),f326(f326(f283(x40311,x40311,x40311),f302(x40311,x40312)),x40312)),f302(x40311,x40312))
% 149.08/148.74 [4065]E(f326(f326(f178(x40651,x40651),x40652),x40652),f326(f326(f150(x40651,f879(x40651,x40651)),f326(f326(f18(x40651,x40651,f879(x40651,x40651)),f261(x40651,x40651)),f5(x40651))),x40652))
% 149.08/148.74 [4181]E(f326(f138(a872,f873(x41811),f326(f7(f873(x41811),a872,a872),f326(f326(f8(a872,f880(a872,a872),f873(x41811)),f239(a872)),f191(f873(x41811)))),f2(a872)),f326(f165(f873(x41811)),x41812)),f326(f191(f873(f873(x41811))),f176(x41811,x41812)))
% 149.08/148.74 [4259]E(f326(f326(f282(f879(a872,f873(x42591)),f873(x42591)),f318(a872,f873(x42591),a245,f141(x42591,x42592))),f326(f326(f18(f873(x42591),f873(x42591),f879(a872,f873(x42591))),f326(f326(f8(a872,f880(f873(x42591),f879(a872,f873(x42591))),f873(x42591)),f261(a872,f873(x42591))),f191(f873(x42591)))),f5(f873(x42591)))),f142(x42591,x42592))
% 149.08/148.74 [4388]E(f326(f246(x43881),f326(f326(f8(f880(f880(x43881,a866),a866),a866,x43881),f89(f880(x43881,a866))),f326(f326(f8(f880(f880(x43881,a866),a866),f880(f880(x43881,a866),a866),x43881),f326(f18(f880(x43881,a866),a866,a866),f326(f326(f8(a866,f880(a866,a866),f880(x43881,a866)),a329),f326(f326(f7(f880(x43881,a866),f880(f880(x43881,a866),a866),a866),f328(f880(x43881,a866))),x43882)))),f328(x43881)))),f41(f880(x43881,a866),x43882))
% 149.08/148.74 [4543]~P103(f326(f326(f241(a1),f326(f105(a1),x45431)),f326(f80(a1),f326(f105(a1),x45432))))
% 149.08/148.74 [4560]~P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x45601),x45601)),a102)),f326(f326(f81(a1),x45602),x45602)))
% 149.08/148.74 [3470]E(f326(f326(f22(a872),f326(f326(f81(a872),x34701),x34702)),x34702),x34701)
% 149.08/148.74 [3471]E(f326(f326(f22(a872),f326(f326(f81(a872),x34711),x34712)),x34711),x34712)
% 149.08/148.74 [3537]E(f326(f326(f81(a872),f326(f326(f22(a872),x35371),x35372)),x35372),f326(f326(f239(a872),x35371),x35372))
% 149.08/148.74 [3643]E(f326(f326(f82(a872),f326(f326(f39(a872),x36431),x36432)),x36432),f326(f326(f22(a872),x36431),f45(a872,x36431,x36432)))
% 149.08/148.74 [3672]E(f326(f168(a872),f135(a872,f326(f296(a872,f326(a117,x36721)),x36722))),f300(a872,x36721,x36722))
% 149.08/148.74 [3679]E(f326(f105(a1),f221(f326(a109,f326(f76(a1),x36791)),f326(a109,f326(f76(a1),x36792)))),f326(f326(a222,x36791),x36792))
% 149.08/148.74 [3681]E(f326(f326(f115(f880(x36811,a866)),f326(f80(f880(x36811,a866)),x36812)),x36812),f249(f880(x36811,a866)))
% 149.08/148.74 [3682]E(f326(f326(f106(f880(x36821,a866)),f326(f80(f880(x36821,a866)),x36822)),x36822),f190(f880(x36821,a866)))
% 149.08/148.74 [3700]P103(f326(f326(f240(a872),f326(f326(f22(a872),x37001),x37002)),x37001))
% 149.08/148.74 [3701]P103(f326(f326(f240(a872),f326(f326(f39(a872),x37011),x37012)),x37011))
% 149.08/148.74 [3724]P103(f326(f326(f241(a872),x37241),f326(a117,f326(f326(f81(a872),x37242),x37241))))
% 149.08/148.74 [3725]P103(f326(f326(f241(a872),x37251),f326(a117,f326(f326(f81(a872),x37251),x37252))))
% 149.08/148.74 [3742]E(f326(f326(f82(a872),f326(a109,f326(f76(a1),x37421))),f326(a109,f326(f76(a1),x37422))),f326(a109,f326(f76(a1),f326(f326(f82(a1),x37421),x37422))))
% 149.08/148.74 [3752]P103(f326(f326(f240(a1),f2(a1)),f326(f326(f251(a1),f326(f76(a1),x37521)),x37522)))
% 149.08/148.74 [3823]E(f326(f280(f873(x38231),f873(x38231),f154(x38231,x38232)),f326(f326(f304(f873(x38231)),f118(x38231)),f190(f880(f873(x38231),a866)))),f326(f326(f304(f873(x38231)),f118(x38231)),f190(f880(f873(x38231),a866))))
% 149.08/148.74 [3842]E(f326(f326(f115(f880(f879(x38421,x38421),a866)),f302(x38421,x38422)),f302(x38421,f190(f880(f879(x38421,x38421),a866)))),f302(x38421,x38422))
% 149.08/148.74 [3856]E(f326(f326(f39(a1),f326(f108(a1),f326(f326(f81(a1),x38561),x38561))),f326(f108(a1),f326(f326(f81(a1),x38562),x38562))),f326(f326(f39(a1),f326(f108(a1),x38561)),f326(f108(a1),x38562)))
% 149.08/148.74 [3919]E(f326(f326(f251(a1),x39191),f326(f108(a872),f326(f326(f81(a1),x39192),x39192))),f326(f326(f87(a1,a1),f326(f326(f251(a1),x39191),f326(f108(a872),x39192))),f326(f326(f18(a1,a1,a1),f82(a1)),f5(a1))))
% 149.08/148.74 [3925]E(f326(f246(f880(x39251,a866)),f326(f326(f7(f880(x39251,a866),f880(x39251,a866),a866),f240(f880(x39251,a866))),x39252)),f326(f303(x39251),x39252))
% 149.08/148.74 [3939]E(f326(f326(f150(a1,a872),a109),f326(f326(f126(a1),f326(f326(f150(a872,a1),f105(a1)),x39391)),f326(f326(f150(a872,a1),f105(a1)),x39392))),f326(f326(f126(a872),x39391),x39392))
% 149.08/148.74 [3975]E(f326(f305(a1,a1,f326(f326(f7(a1,a1,a1),f81(a1)),x39751)),f326(f296(a1,f2(a1)),f326(f326(f22(a1),x39752),x39751))),f326(f296(a1,x39751),x39752))
% 149.08/148.74 [3977]P48(x39771,f326(f326(f22(f880(f879(x39771,x39771),a866)),x39772),f302(x39771,f190(f880(f879(x39771,x39771),a866)))))
% 149.08/148.74 [3997]E(f326(f191(f873(x39971)),f326(f138(f873(x39971),f873(x39971),f126(x39971),f118(x39971)),x39972)),f326(f162(a872),f326(f326(f150(f873(x39971),a872),f191(f873(x39971))),x39972)))
% 149.08/148.74 [4002]P47(x40021,f249(f880(x40021,a866)),f326(f326(f115(f880(f879(x40021,x40021),a866)),x40022),f302(x40021,f190(f880(f879(x40021,x40021),a866)))))
% 149.08/148.74 [4045]E(f187(a872,f2(a872),f326(f326(f8(a872,a872,a872),a117),f326(f326(f7(a872,a872,a872),f238(a872)),x40451)),x40452),f326(f326(f238(a872),x40452),f326(a117,x40451)))
% 149.08/148.74 [4048]E(f187(a872,f326(a117,x40481),f326(f326(f8(a872,a872,a872),a117),f326(f326(f7(a872,a872,a872),f239(a872)),x40481)),x40482),f326(f326(f239(a872),x40482),f326(a117,x40481)))
% 149.08/148.74 [4051]E(f326(f305(x40511,f873(x40511),f326(f326(f7(x40511,f873(x40511),f873(x40511)),f147(x40511)),f118(x40511))),x40512),f170(x40511,x40512,f326(f326(f304(f873(x40511)),f118(x40511)),f190(f880(f873(x40511),a866)))))
% 149.08/148.74 [4052]E(f326(f326(f115(f880(f879(x40521,x40521),a866)),f326(f326(f283(x40521,x40521,x40521),x40522),f302(x40521,x40522))),f302(x40521,f190(f880(f879(x40521,x40521),a866)))),f302(x40521,x40522))
% 149.08/148.74 [4060]P103(f326(f326(f240(f880(f879(x40601,x40601),a866)),f258(x40601,x40602)),f326(f326(f263(x40601,x40601),x40602),f326(f16(f880(x40601,a866),x40601),x40602))))
% 149.08/148.74 [4063]E(f326(f305(a1,a872,a109),f326(f326(f115(f880(a1,a866)),f326(f305(a872,a1,f105(a1)),x40631)),f326(f305(a872,a1,f105(a1)),x40632))),f326(f326(f115(f880(a872,a866)),x40631),x40632))
% 149.08/148.74 [4064]E(f326(f305(a1,a872,a109),f326(f326(f106(f880(a1,a866)),f326(f305(a872,a1,f105(a1)),x40641)),f326(f305(a872,a1,f105(a1)),x40642))),f326(f326(f106(f880(a872,a866)),x40641),x40642))
% 149.08/148.74 [4068]E(f326(f246(x40681),f326(f326(f8(a866,a866,x40681),a321),f326(f326(f7(x40681,f880(x40681,a866),a866),f328(x40681)),x40682))),f326(f80(f880(x40681,a866)),x40682))
% 149.08/148.74 [4095]E(f326(f138(f873(x40951),f873(x40951),f126(x40951),f118(x40951)),f326(f326(f150(f873(x40951),f873(x40951)),f165(x40951)),f326(f165(f873(x40951)),x40952))),f326(f165(x40951),f326(f138(f873(x40951),f873(x40951),f126(x40951),f118(x40951)),x40952)))
% 149.08/148.74 [4124]E(f326(f326(f42(a872,f880(f879(x41241,x41241),a866)),f249(f880(a872,a866))),f326(f326(f7(a872,f880(f879(x41241,x41241),a866),f880(f879(x41241,x41241),a866)),f185(f879(x41241,x41241),a866)),x41242)),f302(x41241,x41242))
% 149.08/148.74 [4144]E(f86(x41441,f326(f326(f8(f880(x41441,a866),a866,x41441),f326(a323,x41442)),f326(f326(f7(x41441,f880(x41441,a866),f880(x41441,a866)),f304(x41441)),f190(f880(x41441,a866))))),f307(x41441,x41442))
% 149.08/148.74 [4152]E(f326(f191(f873(x41521)),f148(x41521,f326(f138(f873(x41521),f873(x41521),f126(x41521),f118(x41521)),x41522))),f326(f38(x41521),f326(f326(f42(f873(x41521),f880(x41521,a866)),f326(f168(f873(x41521)),x41522)),f168(x41521))))
% 149.08/148.74 [4168]E(f326(f326(f115(f880(f879(x41681,x41681),a866)),x41682),f326(f326(f283(x41681,x41681,x41681),f326(f326(f283(x41681,x41681,x41681),x41682),f302(x41681,x41682))),x41682)),f326(f326(f283(x41681,x41681,x41681),x41682),f302(x41681,x41682)))
% 149.08/148.74 [4191]P103(f326(f326(f240(f880(f879(x41911,x41911),a866)),f326(f326(f283(x41911,x41911,x41911),x41912),f302(x41911,x41912))),f326(f326(f263(x41911,x41911),f326(f279(x41911),x41912)),f326(f16(f880(x41911,a866),x41911),f326(f279(x41911),x41912)))))
% 149.08/148.74 [4234]E(f326(f246(f873(x42341)),f326(f326(f7(f873(x42341),f880(x42341,a866),a866),f326(f326(f8(f880(x42341,a866),f880(f880(x42341,a866),a866),f873(x42341)),f240(f880(x42341,a866))),f168(x42341))),x42342)),f157(x42341,x42342))
% 149.08/148.74 [4246]E(f326(f152(f873(x42461),x42461,f118(x42461),f326(f326(f8(f873(x42461),f880(f873(x42461),f873(x42461)),x42461),f326(f7(f873(x42461),f873(x42461),f873(x42461)),f126(x42461))),f326(f326(f7(x42461,f873(x42461),f873(x42461)),f147(x42461)),f118(x42461)))),x42462),f326(f164(x42461),x42462))
% 149.08/148.74 [4288]P21(f880(x42881,x42882),f880(f879(x42881,x42882),a866),f326(f326(f8(f880(f879(x42881,x42882),a866),f880(f879(x42881,x42882),a866),f880(x42881,x42882)),f246(f879(x42881,x42882))),f326(f326(f8(f880(x42881,f880(x42882,a866)),f880(f879(x42881,x42882),a866),f880(x42881,x42882)),f265(x42881,x42882,a866)),f326(f8(x42882,f880(x42882,a866),x42881),f326(f7(x42882,x42882,a866),a323)))),f249(f880(f880(x42881,x42882),a866)))
% 149.08/148.74 [4293]E(f45(a1,f326(f108(a1),f326(f326(f81(a1),x42931),x42931)),f326(f108(a1),f326(f326(f81(a1),x42932),x42932))),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a1,f326(f108(a1),x42931),f326(f108(a1),x42932))))
% 149.08/148.74 [4335]E(f326(f326(f42(x43351,f880(f879(x43351,x43351),a866)),x43352),f326(f326(f7(x43351,f880(f879(x43351,x43351),a866),f880(f879(x43351,x43351),a866)),f326(f326(f8(f879(x43351,x43351),f880(f880(f879(x43351,x43351),a866),f880(f879(x43351,x43351),a866)),x43351),f304(f879(x43351,x43351))),f326(f326(f18(x43351,x43351,f879(x43351,x43351)),f261(x43351,x43351)),f5(x43351)))),f190(f880(f879(x43351,x43351),a866)))),f258(x43351,x43352))
% 149.08/148.74 [4343]E(f206(x43431,f326(f326(f261(a1,a1),f326(f80(a1),f326(f326(f74(f879(a1,a1),a1,x43431,f260(a1,a1)),f217(x43431)),x43432))),f326(f326(f74(f879(a1,a1),a1,x43431,f264(a1,a1)),f217(x43431)),x43432))),f225(x43431,x43432))
% 149.08/148.74 [4424]E(f326(f246(f880(x44241,a866)),f326(f326(f8(f880(f880(x44241,a866),a866),a866,f880(x44241,a866)),f88(f880(x44241,a866))),f326(f326(f7(f880(x44241,a866),f880(f880(x44241,a866),a866),f880(f880(x44241,a866),a866)),f326(f326(f8(f880(f880(x44241,a866),f880(a866,a866)),f880(f880(f880(x44241,a866),a866),f880(f880(x44241,a866),a866)),f880(x44241,a866)),f18(f880(x44241,a866),a866,a866)),f326(f326(f8(f880(f880(x44241,a866),a866),f880(f880(x44241,a866),f880(a866,a866)),f880(x44241,a866)),f326(f8(a866,f880(a866,a866),f880(x44241,a866)),a324)),f326(f326(f7(f880(x44241,a866),f880(f880(x44241,a866),f880(x44241,a866)),f880(f880(x44241,a866),a866)),f326(f326(f8(f880(f880(x44241,a866),a866),f880(f880(f880(x44241,a866),f880(x44241,a866)),f880(f880(x44241,a866),a866)),f880(x44241,a866)),f8(f880(x44241,a866),a866,f880(x44241,a866))),a323)),f80(f880(x44241,a866)))))),f326(f326(f8(f880(f880(x44241,a866),a866),a866,f880(x44241,a866)),f326(f328(f880(x44241,a866)),x44242)),f303(x44241))))),f326(f303(x44241),f326(f80(f880(x44241,a866)),x44242)))
% 149.08/148.74 [4540]~E(f326(f326(f81(a1),x45401),x45401),f326(f326(f22(a1),f326(f326(f81(a1),x45402),x45402)),a102))
% 149.08/148.74 [4546]~P103(f326(f326(f241(a872),f326(f326(f81(a872),x45461),x45462)),x45462))
% 149.08/148.74 [4547]~P103(f326(f326(f241(a872),f326(f326(f81(a872),x45471),x45472)),x45471))
% 149.08/148.74 [3757]E(f326(f326(f22(a872),x37571),f326(f326(f82(a872),f326(f326(f39(a872),x37571),x37572)),x37572)),f45(a872,x37571,x37572))
% 149.08/148.74 [3758]E(f326(f326(f22(a1),x37581),f326(f326(f82(a1),f326(f326(f39(a1),x37581),x37582)),x37582)),f45(a1,x37581,x37582))
% 149.08/148.74 [3792]E(f326(f326(f150(a872,x37921),f326(f161(x37921),x37922)),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(x37921)),x37922)))),x37922)
% 149.08/148.74 [3852]E(f326(f280(x38521,x38521,f302(x38521,f190(f880(f879(x38521,x38521),a866)))),x38522),x38522)
% 149.08/148.74 [3980]E(f302(x39801,f326(f326(f115(f880(f879(x39801,x39801),a866)),x39802),f302(x39801,f190(f880(f879(x39801,x39801),a866))))),f302(x39801,x39802))
% 149.08/148.74 [3981]E(f302(x39811,f326(f326(f22(f880(f879(x39811,x39811),a866)),x39812),f302(x39811,f190(f880(f879(x39811,x39811),a866))))),f302(x39811,x39812))
% 149.08/148.74 [4034]E(f326(f326(f22(a1),f326(f326(f22(a1),f326(f326(f81(a1),x40341),x40341)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x40342),x40342)),a102)),f326(f326(f81(a1),f326(f326(f22(a1),x40341),x40342)),f326(f326(f22(a1),x40341),x40342)))
% 149.08/148.74 [4073]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f81(a1),x40731),x40732)),f326(f326(f81(a1),x40731),x40732))),a102),f326(f326(f81(a1),f326(f326(f81(a1),x40731),x40731)),f326(f326(f22(a1),f326(f326(f81(a1),x40732),x40732)),a102)))
% 149.08/148.74 [4099]E(f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),x40991),x40991)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x40992),x40992)),a102)),f326(f326(f81(a1),f326(f326(f81(a1),x40991),f326(f326(f22(a1),x40992),a102))),f326(f326(f81(a1),x40991),f326(f326(f22(a1),x40992),a102))))
% 149.08/148.74 [4109]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),x41091),x41092)),f326(f326(f22(a1),x41091),x41092))),a102),f326(f326(f22(a1),f326(f326(f22(a1),f326(f326(f81(a1),x41091),x41091)),a102)),f326(f326(f81(a1),x41092),x41092)))
% 149.08/148.74 [4110]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f81(a1),x41101),x41102)),f326(f326(f81(a1),x41101),x41102))),a102),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),x41101),x41101)),a102)),f326(f326(f81(a1),x41102),x41102)))
% 149.08/148.74 [4165]E(f326(f105(a1),f326(f326(f39(a872),f326(f326(f82(a872),f326(a109,f326(f76(a1),x41651))),f326(a109,f326(f76(a1),x41652)))),f221(f326(a109,f326(f76(a1),x41651)),f326(a109,f326(f76(a1),x41652))))),f223(x41651,x41652))
% 149.08/148.74 [4211]E(f326(f326(f267(f879(a104,a104),a104,f879(a104,a104),f879(x42111,f879(a104,a104))),f271(f326(a3,f326(f191(f873(x42111)),x42112)))),f326(f326(f8(x42111,f880(f879(a104,a104),f879(x42111,f879(a104,a104))),a104),f261(x42111,f879(a104,a104))),f326(f326(f8(a872,x42111,a104),f326(f161(x42111),x42112)),a19))),f277(x42111,x42112))
% 149.08/148.74 [4294]E(f326(f138(a872,f873(x42941),f326(f7(f873(x42941),a872,a872),f326(f326(f8(a872,f880(a872,a872),f873(x42941)),f239(a872)),f191(f873(x42941)))),f2(a872)),f326(f165(f873(x42941)),f176(x42941,x42942))),f326(f191(f873(f873(x42941))),f326(f132(f873(x42941),f326(f326(f8(a866,a866,f873(x42941)),a321),f326(f326(f7(f873(x42941),f873(x42941),a866),a323),f118(x42941)))),x42942)))
% 149.08/148.74 [4300]E(f326(f326(f42(a872,f880(x43001,a866)),f249(f880(a872,a866))),f326(f326(f7(a872,f880(a872,f880(x43001,a866)),f880(x43001,a866)),f326(f326(f8(f880(a872,a866),f880(f880(a872,f880(x43001,a866)),f880(x43001,a866)),a872),f42(a872,f880(x43001,a866))),f296(a872,f2(a872)))),x43002)),f326(f326(f42(a872,f880(x43001,a866)),f249(f880(a872,a866))),x43002))
% 149.08/148.74 [4319]P103(f326(f62(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),x43191)),f326(f326(f7(a872,a872,a866),f241(a872)),x43192)))))
% 149.08/148.74 [4435]E(f326(f246(f879(f873(x44351),f873(x44351))),f326(f265(f873(x44351),f873(x44351),a866),f326(f326(f18(f873(x44351),f880(f873(x44351),a866),f880(f873(x44351),a866)),f326(f326(f8(f880(f873(x44351),f880(a866,a866)),f880(f880(f873(x44351),a866),f880(f873(x44351),a866)),f873(x44351)),f18(f873(x44351),a866,a866)),f326(f326(f8(f880(f873(x44351),a866),f880(f873(x44351),f880(a866,a866)),f873(x44351)),f326(f8(a866,f880(a866,a866),f873(x44351)),a325)),f326(f326(f7(f873(x44351),f880(f873(x44351),a872),f880(f873(x44351),a866)),f326(f326(f8(f880(a872,a866),f880(f880(f873(x44351),a872),f880(f873(x44351),a866)),f873(x44351)),f8(a872,a866,f873(x44351))),f326(f326(f8(a872,f880(a872,a866),f873(x44351)),f241(a872)),f191(f873(x44351))))),f191(f873(x44351)))))),f326(f326(f18(f873(x44351),f880(f873(x44351),a866),f880(f873(x44351),a866)),f326(f326(f8(f880(f873(x44351),f880(a866,a866)),f880(f880(f873(x44351),a866),f880(f873(x44351),a866)),f873(x44351)),f18(f873(x44351),a866,a866)),f326(f326(f8(f880(f873(x44351),a866),f880(f873(x44351),f880(a866,a866)),f873(x44351)),f326(f8(a866,f880(a866,a866),f873(x44351)),a324)),f326(f326(f7(f873(x44351),f880(f873(x44351),a872),f880(f873(x44351),a866)),f326(f326(f8(f880(a872,a866),f880(f880(f873(x44351),a872),f880(f873(x44351),a866)),f873(x44351)),f8(a872,a866,f873(x44351))),f326(f326(f8(a872,f880(a872,a866),f873(x44351)),a323),f191(f873(x44351))))),f191(f873(x44351)))))),f326(f326(f7(f873(x44351),f880(f879(f873(x44351),f873(x44351)),a866),f880(f873(x44351),a866)),f326(f326(f8(f880(f873(x44351),f880(f880(f879(f873(x44351),f873(x44351)),a866),a866)),f880(f880(f879(f873(x44351),f873(x44351)),a866),f880(f873(x44351),a866)),f873(x44351)),f7(f873(x44351),f880(f879(f873(x44351),f873(x44351)),a866),a866)),f326(f326(f8(f880(f873(x44351),f879(f873(x44351),f873(x44351))),f880(f873(x44351),f880(f880(f879(f873(x44351),f873(x44351)),a866),a866)),f873(x44351)),f326(f8(f879(f873(x44351),f873(x44351)),f880(f880(f879(f873(x44351),f873(x44351)),a866),a866),f873(x44351)),f328(f879(f873(x44351),f873(x44351))))),f261(f873(x44351),f873(x44351))))),f141(x44351,x44352)))))),f142(x44351,x44352))
% 149.08/148.74 [4553]~P103(f326(f326(f92(a1),f326(f326(f81(a1),x45531),x45531)),f326(f326(f22(a1),f326(f326(f81(a1),x45532),x45532)),a102)))
% 149.08/148.74 [4102]E(f326(f326(f81(a1),f326(f326(f81(a1),f326(f326(f82(a1),x41021),x41022)),f326(f326(f82(a1),x41021),x41022))),x41022),f326(f326(f82(a1),f326(f326(f22(a1),f326(f326(f81(a1),x41021),x41021)),a102)),x41022))
% 149.08/148.74 [4209]E(f326(a109,f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x42091),x42092)),f190(f880(f879(a872,a872),a866)))))),f326(f326(f22(a872),x42091),x42092))
% 149.08/148.74 [4214]E(f326(f326(f283(x42141,x42141,x42141),f326(f326(f115(f880(f879(x42141,x42141),a866)),x42142),f302(x42141,f190(f880(f879(x42141,x42141),a866))))),f302(x42141,f326(f326(f115(f880(f879(x42141,x42141),a866)),x42142),f302(x42141,f190(f880(f879(x42141,x42141),a866)))))),f302(x42141,x42142))
% 149.08/148.74 [4252]E(f272(x42521,f326(f132(f879(a104,x42521),f326(f265(a104,x42521,a866),f326(f326(f8(a866,f880(x42521,a866),a104),f16(a866,x42521)),f326(f241(a104),f2(a104))))),x42522)),f272(x42521,x42522))
% 149.08/148.74 [4253]E(f270(x42531,f326(f132(f879(a104,x42531),f326(f265(a104,x42531,a866),f326(f326(f8(a866,f880(x42531,a866),a104),f16(a866,x42531)),f326(f241(a104),f2(a104))))),x42532)),f270(x42531,x42532))
% 149.08/148.74 [4255]E(f326(f80(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x42551),x42552)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x42552),x42551)),f190(f880(f879(a872,a872),a866))))))
% 149.08/148.74 [4311]E(f326(f326(f282(f873(a872),x43111),f141(a872,a245)),f326(f326(f7(x43111,f873(f880(x43111,a872)),f873(a872)),f326(f326(f8(f880(f880(x43111,a872),a872),f880(f873(f880(x43111,a872)),f873(a872)),x43111),f150(f880(x43111,a872),a872)),f326(f7(f880(x43111,a872),x43111,a872),f5(f880(x43111,a872))))),x43112)),f149(x43111,x43112))
% 149.08/148.74 [4332]E(f326(f326(f87(a1,a872),f326(f108(a1),f326(f326(f81(a1),x43321),a102))),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f2(a872))),f326(f326(f8(a872,a872,a1),a117),f326(f326(f8(a872,a872,a1),f326(f238(a872),x43322)),a109)))),f326(f326(f238(a872),f326(a117,x43322)),f326(f108(a872),x43321)))
% 149.08/148.74 [4333]E(f326(f326(f87(a1,a872),f326(f108(a1),f326(f326(f81(a1),x43331),a102))),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f326(a117,x43332))),f326(f326(f8(a872,a872,a1),a117),f326(f326(f8(a872,a872,a1),f326(f239(a872),x43332)),a109)))),f326(f326(f239(a872),f326(a117,x43332)),f326(f108(a872),x43331)))
% 149.08/148.74 [4353]E(f326(f138(f873(x43531),f873(x43531),f126(x43531),f118(x43531)),f326(f326(f150(f873(x43531),f873(x43531)),f152(f873(x43531),x43531,f118(x43531),f326(f326(f8(f873(x43531),f880(f873(x43531),f873(x43531)),x43531),f16(f873(x43531),f873(x43531))),f326(f326(f7(x43531,f873(x43531),f873(x43531)),f147(x43531)),f118(x43531))))),x43532)),f326(f326(f150(f873(x43531),x43531),f137(x43531)),f326(f132(f873(x43531),f326(f326(f8(a866,a866,f873(x43531)),a321),f326(f326(f7(f873(x43531),f873(x43531),a866),a323),f118(x43531)))),x43532)))
% 149.08/148.74 [4416]E(f326(f265(a1,a1,a866),f326(f326(f7(a1,f880(a1,a866),f880(a1,a866)),f326(f326(f8(f880(a1,f880(a866,a866)),f880(f880(a1,a866),f880(a1,a866)),a1),f18(a1,a866,a866)),f326(f326(f8(f880(a1,a866),f880(a1,f880(a866,a866)),a1),f326(f8(a866,f880(a866,a866),a1),a324)),f326(f326(f8(f880(a1,a1),f880(a1,a866),a1),f326(f8(a1,a866,a1),f326(a323,x44161))),f326(f326(f8(a1,f880(a1,a1),a1),f81(a1)),f326(f82(a1),x44162)))))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),f326(a329,f326(f326(f241(a1),f2(a1)),x44162))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),f326(f326(f7(a1,a1,a866),f241(a1)),x44162))))),f326(f326(f8(a866,a866,a1),f326(a329,f326(a321,f326(f326(f241(a1),f2(a1)),x44162)))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f241(a1),x44162))),f326(f326(f7(a1,a1,a866),f240(a1)),f2(a1))))))),f49(x44161,x44162))
% 149.08/148.74 [4418]E(f326(f246(x44181),f326(f326(f8(f880(a872,a866),a866,x44181),f88(a872)),f326(f326(f7(x44181,f880(a872,a866),f880(a872,a866)),f326(f326(f8(f880(a872,f880(a866,a866)),f880(f880(a872,a866),f880(a872,a866)),x44181),f18(a872,a866,a866)),f326(f326(f8(f880(a872,a866),f880(a872,f880(a866,a866)),x44181),f326(f8(a866,f880(a866,a866),a872),a324)),f326(f326(f7(x44181,f880(a872,x44181),f880(a872,a866)),f326(f326(f8(f880(x44181,a866),f880(f880(a872,x44181),f880(a872,a866)),x44181),f8(x44181,a866,a872)),a323)),f326(f161(x44181),x44182))))),f326(f326(f7(a872,a872,a866),f241(a872)),f326(f191(f873(x44181)),x44182))))),f326(f168(x44181),x44182))
% 149.08/148.74 [4224]E(f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),x42241),a102)),x42242)),f326(f326(f22(a1),f326(f326(f81(a1),x42241),a102)),x42242))),a102),f326(f326(f22(a1),f326(f326(f81(a1),x42241),x42241)),f326(f326(f22(a1),f326(f326(f81(a1),x42242),x42242)),a102)))
% 149.08/148.74 [4348]E(f326(f138(f873(f873(x43481)),f873(f873(x43481)),f126(f873(x43481)),f118(f873(x43481))),f326(f326(f150(f873(x43481),f873(f873(x43481))),f152(f873(f873(x43481)),x43481,f118(f873(x43481)),f326(f16(f880(f873(x43481),f873(f873(x43481))),x43481),f326(f326(f7(f873(x43481),f873(f873(x43481)),f873(f873(x43481))),f147(f873(x43481))),f118(f873(x43481)))))),x43482)),f326(f326(f150(f873(x43481),f873(x43481)),f167(x43481)),f326(f132(f873(x43481),f326(f326(f8(a866,a866,f873(x43481)),a321),f326(f326(f7(f873(x43481),f873(x43481),a866),a323),f118(x43481)))),x43482)))
% 149.08/148.74 [4359]E(f326(f326(f87(a1,a872),f326(f108(a1),f326(f326(f81(a1),x43591),a102))),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f2(a872))),f326(f326(f8(a872,a872,a1),a117),f326(f326(f7(a1,a872,a872),f326(f326(f8(a872,f880(a872,a872),a1),f238(a872)),a109)),x43592)))),f326(f326(f238(a872),f326(f108(a872),x43591)),f326(a117,x43592)))
% 149.08/148.74 [4360]E(f326(f326(f87(a1,a872),f326(f108(a1),f326(f326(f81(a1),x43601),a102))),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f326(a117,x43602))),f326(f326(f8(a872,a872,a1),a117),f326(f326(f7(a1,a872,a872),f326(f326(f8(a872,f880(a872,a872),a1),f239(a872)),a109)),x43602)))),f326(f326(f239(a872),f326(f108(a872),x43601)),f326(a117,x43602)))
% 149.08/148.74 [4347]E(f326(f265(x43471,x43471,a866),f326(f326(f18(x43471,a866,f880(x43471,a866)),f326(f326(f8(f880(x43471,f880(a866,a866)),f880(a866,f880(x43471,a866)),x43471),f7(x43471,a866,a866)),f326(f326(f8(f880(x43471,a866),f880(x43471,f880(a866,a866)),x43471),f326(f8(a866,f880(a866,a866),x43471),a324)),a323))),x43472)),f258(x43471,x43472))
% 149.08/148.74 [4394]E(f326(f326(f39(a872),x43941),f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x43942)),f326(f326(f39(a872),x43941),f326(a117,f326(a117,f326(a117,x43942)))))
% 149.08/148.74 [4395]E(f45(a872,x43951,f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x43952)),f45(a872,x43951,f326(a117,f326(a117,f326(a117,x43952)))))
% 149.08/148.74 [4396]E(f45(a872,f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x43961),x43962),f45(a872,f326(a117,f326(a117,f326(a117,x43961))),x43962))
% 149.08/148.74 [4409]E(f125(f326(x44091,f326(f326(f82(a104),f326(f108(a104),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x44092))),f326(f209(x44091),x44092))
% 149.08/148.74 [4410]E(f326(f326(f39(a872),f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),x44101)),x44102),f326(f326(f39(a872),f326(a117,f326(a117,f326(a117,x44101)))),x44102))
% 149.08/148.74 [4459]~E(f34(x44591,x44592),f326(a26,x44593))
% 149.08/148.74 [4460]~E(f33(x44601,x44602),f326(a26,x44603))
% 149.08/148.74 [4461]~E(f326(a26,x44611),f34(x44612,x44613))
% 149.08/148.74 [4462]~E(f326(a26,x44621),f33(x44622,x44623))
% 149.08/148.74 [4477]~E(f29(x44771,x44772,x44773),a24)
% 149.08/148.74 [4478]~E(f31(x44781,x44782,x44783),a24)
% 149.08/148.74 [4479]~E(f30(x44791,x44792,x44793),a24)
% 149.08/148.74 [3184]E(f326(f195(x31841,x31842),x31843),f123(x31841,x31842))
% 149.08/148.74 [3284]E(f326(f326(f204(x32841,x32842),x32843),f193(x32841)),f193(x32842))
% 149.08/148.74 [3285]E(f326(f326(f150(x32851,x32852),x32853),f118(x32851)),f118(x32852))
% 149.08/148.74 [3305]E(f32(f29(x33051,x33052,x33053)),f2(a872))
% 149.08/148.74 [3326]E(f326(f186(x33261,x33262,x33263),f2(a872)),x33262)
% 149.08/148.74 [3327]E(f326(f191(a868),f29(x33271,x33272,x33273)),f2(a872))
% 149.08/148.74 [3329]E(f326(f326(f178(x33291,x33292),x33293),f118(x33292)),f118(f879(x33291,x33292)))
% 149.08/148.74 [3363]E(f86(x33631,f63(x33631,x33632,x33633)),f326(f64(x33631,x33632),x33633))
% 149.08/148.74 [3367]E(f250(x33671,x33672,f250(x33672,x33671,x33673)),x33673)
% 149.08/148.74 [3415]E(f136(x34151,x34152,f148(x34151,x34153)),f148(x34151,f136(x34151,x34152,x34153)))
% 149.08/148.74 [3434]E(f326(f260(f873(x34341),f873(x34341)),f163(x34341,x34342,x34343)),f326(f132(x34341,x34342),x34343))
% 149.08/148.74 [3511]E(f187(x35111,x35112,x35113,f2(a872)),x35112)
% 149.08/148.74 [3512]E(f17(x35121,x35122,x35123,f2(a104)),x35122)
% 149.08/148.74 [3519]E(f159(x35191,x35192,x35193,f118(x35191)),f118(x35192))
% 149.08/148.74 [3520]E(f160(x35201,x35202,x35203,f118(x35201)),f118(x35202))
% 149.08/148.74 [3527]E(f326(f326(f161(x35271),f326(f326(f147(x35271),x35272),x35273)),f2(a872)),x35272)
% 149.08/148.74 [3555]E(f60(x35551,x35552,f118(x35551),x35553),f118(f879(x35551,x35552)))
% 149.08/148.74 [3576]P21(x35761,x35762,x35763,f190(f880(x35761,a866)))
% 149.08/148.74 [3734]E(f326(f74(x37341,x37342,x37341,x37343),f35(x37341)),x37343)
% 149.08/148.74 [3910]P103(f326(f326(f328(f879(x39101,x39101)),f326(f326(f261(x39101,x39101),x39102),x39102)),f302(x39101,x39103)))
% 149.08/148.74 [4554]~P103(f326(f326(f328(f879(f873(x45541),f873(x45541))),f326(f326(f261(f873(x45541),f873(x45541)),x45542),f118(x45541))),f141(x45541,x45543)))
% 149.08/148.74 [4555]~P103(f326(f326(f328(f879(f873(x45551),f873(x45551))),f326(f326(f261(f873(x45551),f873(x45551)),x45552),f118(x45551))),f143(x45551,x45553)))
% 149.08/148.74 [4556]~P103(f326(f326(f328(f879(f873(x45561),f873(x45561))),f326(f326(f261(f873(x45561),f873(x45561)),x45562),f118(x45561))),f153(x45561,x45563)))
% 149.08/148.74 [4557]~P103(f326(f326(f328(f879(f873(x45571),f873(x45571))),f326(f326(f261(f873(x45571),f873(x45571)),f118(x45571)),x45572)),f141(x45571,x45573)))
% 149.08/148.74 [4558]~P103(f326(f326(f328(f879(f873(x45581),f873(x45581))),f326(f326(f261(f873(x45581),f873(x45581)),f118(x45581)),x45582)),f153(x45581,x45583)))
% 149.08/148.74 [3257]E(f326(f326(f205(x32571),x32572),x32573),f206(x32571,f220(x32572,x32573)))
% 149.08/148.74 [3315]E(f326(f281(x33151,x33152),f326(f281(x33152,x33151),x33153)),x33153)
% 149.08/148.74 [3339]E(f326(f326(f178(x33391,x33392),f118(x33391)),x33393),f118(f879(x33391,x33392)))
% 149.08/148.74 [3342]E(f172(x33421,x33422,f326(f247(a872),x33423)),f326(f326(f171(x33421),x33423),x33422))
% 149.08/148.74 [3360]E(f148(x33601,f326(f132(x33601,x33602),x33603)),f326(f132(x33601,x33602),f148(x33601,x33603)))
% 149.08/148.74 [3361]E(f326(f257(x33611,x33612),f326(f281(x33612,x33611),x33613)),f326(f259(x33612,x33611),x33613))
% 149.08/148.74 [3362]E(f326(f259(x33621,x33622),f326(f281(x33622,x33621),x33623)),f326(f257(x33622,x33621),x33623))
% 149.08/148.74 [3379]E(f326(f132(x33791,x33792),f326(f165(x33791),x33793)),f326(f165(x33791),f326(f132(x33791,x33792),x33793)))
% 149.08/148.74 [3392]E(f326(f326(f134(x33921),x33922),f326(f167(x33921),x33923)),f326(f326(f134(x33921),f326(a117,x33922)),x33923))
% 149.08/148.74 [3410]E(f32(f30(x34101,x34102,x34103)),f326(f326(f81(a872),f32(x34103)),f326(a117,f2(a872))))
% 149.08/148.74 [3411]E(f326(f305(x34111,x34112,x34113),f190(f880(x34111,a866))),f190(f880(x34112,a866)))
% 149.08/148.74 [3412]E(f326(f280(x34121,x34122,x34123),f190(f880(x34121,a866))),f190(f880(x34122,a866)))
% 149.08/148.74 [3413]E(f326(f306(x34131,x34132,x34133),f190(f880(x34132,a866))),f190(f880(x34131,a866)))
% 149.08/148.74 [3414]E(f326(f306(x34141,x34142,x34143),f249(f880(x34142,a866))),f249(f880(x34141,a866)))
% 149.08/148.74 [3443]E(f326(f326(f304(x34431),x34432),f326(f168(x34431),x34433)),f326(f168(x34431),f136(x34431,x34432,x34433)))
% 149.08/148.74 [3455]E(f234(x34551,x34552,f326(f233(x34551),x34553)),f326(f326(f81(a872),f326(x34552,x34553)),f326(a117,f2(a872))))
% 149.08/148.74 [3531]E(f326(f191(a868),f30(x35311,x35312,x35313)),f326(f326(f81(a872),f326(f191(a868),x35313)),f326(a117,f2(a872))))
% 149.08/148.74 [3532]E(f326(f305(f879(x35321,x35322),x35322,f264(x35321,x35322)),x35323),f326(f257(x35321,x35322),x35323))
% 149.08/148.74 [3533]E(f326(f305(f879(x35331,x35332),x35331,f260(x35331,x35332)),x35333),f326(f259(x35331,x35332),x35333))
% 149.08/148.74 [3601]E(f326(f326(f261(x36011,x36012),f326(f260(x36011,x36012),x36013)),f326(f264(x36011,x36012),x36013)),x36013)
% 149.08/148.74 [3608]E(f326(f191(f874(x36081)),f127(x36081,x36082,x36083)),f326(f326(f81(a872),f326(f191(f874(x36081)),x36083)),f326(a117,f2(a872))))
% 149.08/148.74 [3611]E(f326(f326(f265(x36111,x36112,x36111),f16(x36111,x36112)),x36113),f326(f260(x36111,x36112),x36113))
% 149.08/148.74 [3631]E(f181(x36311,x36312,x36313,f326(f16(f876(x36312),x36311),f193(x36312))),x36313)
% 149.08/148.74 [3632]E(f181(x36321,x36322,f326(f16(f876(x36322),x36321),f193(x36322)),x36323),x36323)
% 149.08/148.74 [3688]E(f32(f31(x36881,x36882,x36883)),f326(f326(f81(a872),f326(f326(f81(a872),f32(x36882)),f32(x36883))),f326(a117,f2(a872))))
% 149.08/148.74 [3737]E(f326(f74(x37371,x37371,x37372,f35(x37371)),x37373),x37373)
% 149.08/148.74 [3845]E(f326(f191(a868),f31(x38451,x38452,x38453)),f326(f326(f81(a872),f326(f326(f81(a872),f326(f191(a868),x38452)),f326(f191(a868),x38453))),f326(a117,f2(a872))))
% 149.08/148.74 [3920]P103(f326(f326(f240(f880(x39201,a866)),f326(f168(x39201),f326(f132(x39201,x39202),x39203))),f326(f168(x39201),x39203)))
% 149.08/148.74 [3965]P103(f326(f326(f240(f880(x39651,a866)),f326(f168(x39651),f326(f326(f171(x39651),x39652),x39653))),f326(f168(x39651),x39653)))
% 149.08/148.74 [3966]P103(f326(f326(f240(f880(x39661,a866)),f326(f168(x39661),f326(f326(f134(x39661),x39662),x39663))),f326(f168(x39661),x39663)))
% 149.08/148.74 [3971]P103(f326(f326(f240(f880(x39711,a866)),f326(f168(x39711),f166(x39711,x39712,x39713))),f326(f168(x39711),x39713)))
% 149.08/148.74 [3972]P103(f326(f326(f240(f880(x39721,a866)),f326(f168(x39721),f172(x39721,x39722,x39723))),f326(f168(x39721),x39722)))
% 149.08/148.74 [3995]P21(f879(x39951,x39952),f879(x39952,x39951),f326(f265(x39951,x39952,f879(x39952,x39951)),f326(f7(x39952,x39951,f879(x39952,x39951)),f261(x39952,x39951))),x39953)
% 149.08/148.74 [4007]E(f326(f326(f326(f185(f873(x40071),f873(x40071)),f45(a872,x40072,f326(f191(f873(x40071)),x40073))),f164(x40071)),x40073),f326(f326(f326(f185(f873(x40071),f873(x40071)),x40072),f164(x40071)),x40073))
% 149.08/148.74 [4049]P103(f326(f326(f328(f879(f873(x40491),f873(x40491))),f326(f326(f261(f873(x40491),f873(x40491)),x40492),x40492)),f154(x40491,f302(x40491,x40493))))
% 149.08/148.74 [4194]E(f86(f879(x41941,x41942),f326(f326(f18(f879(x41941,x41942),x41942,a866),f326(f326(f8(x41941,f880(x41942,a866),f879(x41941,x41942)),x41943),f260(x41941,x41942))),f264(x41941,x41942))),f86(f879(x41941,x41942),f326(f265(x41941,x41942,a866),x41943)))
% 149.08/148.74 [4195]E(f91(f879(x41951,x41952),f326(f326(f18(f879(x41951,x41952),x41952,a866),f326(f326(f8(x41951,f880(x41952,a866),f879(x41951,x41952)),x41953),f260(x41951,x41952))),f264(x41951,x41952))),f91(f879(x41951,x41952),f326(f265(x41951,x41952,a866),x41953)))
% 149.08/148.74 [4231]E(f326(f326(f282(f879(a872,x42311),x42311),f318(a872,x42311,a245,x42312)),f326(f326(f18(x42311,x42311,f879(a872,x42311)),f326(f326(f8(a872,f880(x42311,f879(a872,x42311)),x42311),f261(a872,x42311)),x42313)),f5(x42311))),f320(x42311,x42313,x42312))
% 149.08/148.74 [4296]E(f326(f266(x42961,x42961,x42962,x42962,f5(x42961),f5(x42962)),x42963),x42963)
% 149.08/148.74 [4370]E(f326(f138(f873(f873(x43701)),f873(f873(x43701)),f126(f873(x43701)),f118(f873(x43701))),f326(f326(f150(f873(x43701),f873(f873(x43701))),f326(f326(f7(f873(x43701),f873(x43701),f873(f873(x43701))),f326(f326(f8(f880(x43701,f873(x43701)),f880(f873(x43701),f873(f873(x43701))),f873(x43701)),f150(x43701,f873(x43701))),f326(f7(x43701,f873(x43701),f873(x43701)),f147(x43701)))),x43702)),f55(x43701,x43703,x43702))),f55(x43701,f326(a117,x43703),x43702))
% 149.08/148.74 [4431]E(f326(f235(a872,f879(x44311,f874(x44311)),f2(a872),f326(f265(x44311,f874(x44311),a872),f326(f326(f7(x44311,a872,f880(f874(x44311),a872)),f326(f326(f8(f880(f874(x44311),f880(a872,a872)),f880(a872,f880(f874(x44311),a872)),x44311),f7(f874(x44311),a872,a872)),f326(f326(f8(f880(f874(x44311),a872),f880(f874(x44311),f880(a872,a872)),x44311),f326(f8(a872,f880(a872,a872),f874(x44311)),f81(a872))),f326(f326(f7(x44311,f880(f874(x44311),a872),f880(f874(x44311),a872)),f326(f326(f8(f880(a872,a872),f880(f880(f874(x44311),a872),f880(f874(x44311),a872)),x44311),f8(a872,a872,f874(x44311))),f326(f326(f8(a872,f880(a872,a872),x44311),f81(a872)),x44312))),f130(x44311,x44312))))),f79(a872)))),f326(f129(x44311),x44313)),f326(f130(x44311,x44312),x44313))
% 149.08/148.74 [4434]E(f326(f326(f87(a1,x44341),f223(f326(f326(f74(f879(a1,a1),a1,x44341,f264(a1,a1)),f217(x44341)),x44342),f326(f326(f74(f879(a1,a1),a1,x44341,f264(a1,a1)),f217(x44341)),x44343))),f326(f326(f18(a1,a1,x44341),f326(f326(f8(a1,f880(a1,x44341),a1),f205(x44341)),f326(f326(f18(a1,a1,a1),f326(f326(f8(a1,f880(a1,a1),a1),f81(a1)),f326(f326(f8(a1,a1,a1),f326(f82(a1),f326(f326(f74(f879(a1,a1),a1,x44341,f260(a1,a1)),f217(x44341)),x44342))),f326(f326(f7(a1,a1,a1),f39(a1)),f326(f326(f74(f879(a1,a1),a1,x44341,f264(a1,a1)),f217(x44341)),x44342))))),f326(f326(f8(a1,a1,a1),f326(f82(a1),f326(f326(f74(f879(a1,a1),a1,x44341,f260(a1,a1)),f217(x44341)),x44343))),f326(f326(f7(a1,a1,a1),f39(a1)),f326(f326(f74(f879(a1,a1),a1,x44341,f264(a1,a1)),f217(x44341)),x44343)))))),f5(a1))),f228(x44341,x44342,x44343))
% 149.08/148.74 [4472]~E(f326(f326(f147(x44721),x44722),x44723),x44723)
% 149.08/148.74 [4481]~E(f326(f326(f147(x44811),x44812),x44813),f118(x44811))
% 149.08/148.74 [4503]~E(f326(f326(f304(x45031),x45032),x45033),f190(f880(x45031,a866)))
% 149.08/148.74 [4530]~E(f326(f305(x45301,f880(x45301,a866),x45302),x45303),f326(f303(x45301),x45303))
% 149.08/148.74 [3320]E(f326(f326(f155(x33201,f118(x33201)),x33202),x33203),f118(x33201))
% 149.08/148.74 [3321]E(f326(f137(x33211),f326(f326(f147(x33211),x33212),x33213)),x33212)
% 149.08/148.74 [3322]E(f326(f167(x33221),f326(f326(f147(x33221),x33222),x33223)),x33223)
% 149.08/148.74 [3366]E(f326(f326(f134(x33661),f79(a872)),f326(f326(f147(x33661),x33662),x33663)),x33663)
% 149.08/148.74 [3399]E(f119(x33991,f326(f326(f134(x33991),x33992),x33993)),f326(f326(f134(x33991),x33992),f119(x33991,x33993)))
% 149.08/148.74 [3401]E(f326(f326(f155(x34011,x34012),x34013),f326(f326(f161(x34011),x34012),x34013)),x34012)
% 149.08/148.74 [3425]E(f326(f326(f304(x34251),x34252),f326(f326(f304(x34251),x34252),x34253)),f326(f326(f304(x34251),x34252),x34253))
% 149.08/148.74 [3436]E(f326(f326(f174(x34361,x34362),f118(f879(x34361,x34362))),x34363),f193(x34362))
% 149.08/148.74 [3439]E(f326(f326(f304(x34391),x34392),f326(f168(x34391),x34393)),f326(f168(x34391),f326(f326(f147(x34391),x34392),x34393)))
% 149.08/148.74 [3441]E(f326(f326(f134(x34411),x34412),f326(f167(x34411),x34413)),f326(f167(x34411),f326(f326(f134(x34411),x34412),x34413)))
% 149.08/148.74 [3452]E(f326(f326(f171(x34521),f79(a872)),f326(f326(f147(x34521),x34522),x34523)),f326(f326(f147(x34521),x34522),f118(x34521)))
% 149.08/148.74 [3496]E(f326(f64(x34961,x34962),f326(f326(f304(x34961),x34963),f190(f880(x34961,a866)))),x34963)
% 149.08/148.74 [3539]E(f326(f326(f81(a872),x35391),f326(f326(f81(a872),x35392),x35393)),f326(f326(f81(a872),x35392),f326(f326(f81(a872),x35391),x35393)))
% 149.08/148.74 [3540]E(f326(f326(f81(a1),x35401),f326(f326(f81(a1),x35402),x35403)),f326(f326(f81(a1),x35402),f326(f326(f81(a1),x35401),x35403)))
% 149.08/148.74 [3545]E(f326(f326(f263(x35451,x35452),f190(f880(x35451,a866))),x35453),f190(f880(f879(x35451,x35452),a866)))
% 149.08/148.74 [3568]E(f326(f326(f115(f880(x35681,a866)),x35682),x35683),f326(f326(f115(f880(x35681,a866)),x35683),x35682))
% 149.08/148.74 [3569]E(f326(f326(f106(f880(x35691,a866)),x35692),x35693),f326(f326(f106(f880(x35691,a866)),x35693),x35692))
% 149.08/148.74 [3571]E(f326(f326(f126(x35711),x35712),f326(f326(f147(x35711),x35713),f118(x35711))),f326(f164(x35711),f326(f326(f147(x35711),x35713),x35712)))
% 149.08/148.74 [3572]E(f326(f326(f126(x35721),f326(f165(x35721),x35722)),f326(f165(x35721),x35723)),f326(f165(x35721),f326(f326(f126(x35721),x35723),x35722)))
% 149.08/148.74 [3580]E(f326(f167(x35801),f326(f326(f171(x35801),f326(a117,x35802)),x35803)),f326(f326(f171(x35801),x35802),f326(f167(x35801),x35803)))
% 149.08/148.74 [3587]P103(f326(f326(f328(x35871),x35872),f326(f326(f304(x35871),x35872),x35873)))
% 149.08/148.74 [3591]E(f326(f326(f43(x35911,f880(x35912,a866)),f190(f880(x35911,a866))),x35913),f249(f880(x35912,a866)))
% 149.08/148.74 [3594]E(f326(f280(x35941,x35941,f258(x35941,x35942)),x35943),f326(f326(f106(f880(x35941,a866)),x35942),x35943))
% 149.08/148.74 [3607]E(f326(f191(f873(x36071)),f326(f326(f147(x36071),x36072),x36073)),f326(f326(f81(a872),f326(f191(f873(x36071)),x36073)),f326(a117,f2(a872))))
% 149.08/148.74 [3613]E(f140(x36131,f326(f326(f126(x36131),x36132),f326(f326(f147(x36131),x36133),f118(x36131)))),x36133)
% 149.08/148.74 [3614]E(f119(x36141,f326(f326(f126(x36141),x36142),f326(f326(f147(x36141),x36143),f118(x36141)))),x36142)
% 149.08/148.74 [3620]E(f326(f326(f126(x36201),f326(f326(f171(x36201),x36202),x36203)),f326(f326(f134(x36201),x36202),x36203)),x36203)
% 149.08/148.74 [3629]E(f326(f326(f22(a872),f326(f326(f81(a872),x36291),x36292)),f326(f326(f81(a872),x36293),x36292)),f326(f326(f22(a872),x36291),x36293))
% 149.08/148.74 [3630]E(f326(f326(f22(a872),f326(f326(f81(a872),x36301),x36302)),f326(f326(f81(a872),x36301),x36303)),f326(f326(f22(a872),x36302),x36303))
% 149.08/148.74 [3637]E(f326(f326(f126(x36371),f326(f165(x36371),x36372)),f326(f326(f147(x36371),x36373),f118(x36371))),f326(f165(x36371),f326(f326(f147(x36371),x36373),x36372)))
% 149.08/148.74 [3639]E(f326(f326(f81(a872),f326(f191(f873(x36391)),x36392)),f326(f191(f873(x36391)),x36393)),f326(f191(f873(x36391)),f326(f326(f126(x36391),x36392),x36393)))
% 149.08/148.74 [3642]E(f326(f326(f81(a872),f326(f191(f873(x36421)),x36422)),f326(f191(f873(x36421)),x36423)),f326(f191(f873(x36421)),f169(x36421,x36422,x36423)))
% 149.08/148.74 [3650]E(f326(f326(f115(f880(x36501,a866)),f326(f168(x36501),x36502)),f326(f168(x36501),x36503)),f326(f168(x36501),f326(f326(f126(x36501),x36502),x36503)))
% 149.08/148.74 [3651]E(f45(a872,f326(f326(f82(a872),x36511),x36512),f326(f326(f82(a872),x36511),x36513)),f326(f326(f82(a872),x36511),f45(a872,x36512,x36513)))
% 149.08/148.74 [3664]E(f326(f326(f171(x36641),f326(f326(f22(a872),x36642),f79(a872))),f326(f167(x36641),x36643)),f326(f167(x36641),f326(f326(f171(x36641),x36642),x36643)))
% 149.08/148.74 [3669]E(f326(f326(f106(f880(x36691,a866)),x36692),f326(f80(f880(x36691,a866)),x36693)),f326(f326(f22(f880(x36691,a866)),x36692),x36693))
% 149.08/148.74 [3670]E(f326(f326(f22(f880(x36701,a866)),x36702),f326(f80(f880(x36701,a866)),x36703)),f326(f326(f106(f880(x36701,a866)),x36702),x36703))
% 149.08/148.74 [3692]E(f326(f326(f263(x36921,x36922),x36923),f326(f16(f880(x36922,a866),x36921),f190(f880(x36922,a866)))),f190(f880(f879(x36921,x36922),a866)))
% 149.08/148.74 [3694]E(f326(f326(f22(a872),f326(f326(f82(a872),x36941),x36942)),f326(f326(f82(a872),x36941),x36943)),f326(f326(f82(a872),x36941),f326(f326(f22(a872),x36942),x36943)))
% 149.08/148.74 [3695]E(f326(f326(f81(a872),f326(f326(f82(a872),x36951),x36952)),f326(f326(f82(a872),x36951),x36953)),f326(f326(f82(a872),x36951),f326(f326(f81(a872),x36952),x36953)))
% 149.08/148.74 [3696]E(f326(f326(f22(a1),f326(f326(f82(a1),x36961),x36962)),f326(f326(f82(a1),x36961),x36963)),f326(f326(f82(a1),x36961),f326(f326(f22(a1),x36962),x36963)))
% 149.08/148.74 [3697]E(f326(f326(f81(a1),f326(f326(f82(a1),x36971),x36972)),f326(f326(f82(a1),x36971),x36973)),f326(f326(f82(a1),x36971),f326(f326(f81(a1),x36972),x36973)))
% 149.08/148.74 [3698]E(f326(f326(f82(a1),f326(f326(f251(a1),x36981),x36982)),f326(f326(f251(a1),x36981),x36983)),f326(f326(f251(a1),x36981),f326(f326(f81(a872),x36982),x36983)))
% 149.08/148.74 [3712]E(f326(f326(f42(x37121,f880(x37122,a866)),x37123),f326(f16(f880(x37122,a866),x37121),f190(f880(x37122,a866)))),f190(f880(x37122,a866)))
% 149.08/148.74 [3714]E(f45(a872,f326(f326(f82(a872),x37141),x37142),f326(f326(f82(a872),x37143),x37142)),f326(f326(f82(a872),f45(a872,x37141,x37143)),x37142))
% 149.08/148.74 [3718]E(f45(a1,f326(f326(f22(a1),x37181),f45(a1,x37182,x37183)),x37183),f45(a1,f326(f326(f22(a1),x37181),x37182),x37183))
% 149.08/148.74 [3719]E(f45(a1,f326(f326(f82(a1),x37191),f45(a1,x37192,x37193)),x37193),f45(a1,f326(f326(f82(a1),x37191),x37192),x37193))
% 149.08/148.74 [3720]P103(f326(f326(f240(f880(x37201,a866)),x37202),f326(f326(f304(x37201),x37203),x37202)))
% 149.08/148.74 [3723]E(f326(f305(f879(x37231,x37232),x37231,f260(x37231,x37232)),f326(f168(f879(x37231,x37232)),x37233)),f180(x37231,x37232,f326(f174(x37231,x37232),x37233)))
% 149.08/148.74 [3771]P103(f326(f62(x37711),f180(x37711,x37712,f326(f174(x37711,x37712),x37713))))
% 149.08/148.74 [3796]E(f326(f326(f43(f880(x37961,a866),f880(x37961,a866)),x37962),f326(f115(f880(x37961,a866)),x37963)),f326(f326(f115(f880(x37961,a866)),x37963),f41(f880(x37961,a866),x37962)))
% 149.08/148.74 [3797]E(f326(f326(f42(f880(x37971,a866),f880(x37971,a866)),x37972),f326(f106(f880(x37971,a866)),x37973)),f326(f326(f106(f880(x37971,a866)),x37973),f40(f880(x37971,a866),x37972)))
% 149.08/148.74 [3808]E(f326(f168(x38081),f326(f326(f326(f185(f873(x38081),f873(x38081)),x38082),f164(x38081)),x38083)),f326(f168(x38081),x38083))
% 149.08/148.74 [3812]E(f326(f326(f171(x38121),f326(f191(f873(x38121)),f173(x38121,x38122,x38123))),x38123),f173(x38121,x38122,x38123))
% 149.08/148.74 [3813]E(f180(x38131,x38132,f326(f326(f8(x38132,f876(x38132),x38131),f233(x38132)),x38133)),f249(f880(x38131,a866)))
% 149.08/148.74 [3817]E(f326(f191(f873(x38171)),f326(f326(f326(f185(f873(x38171),f873(x38171)),x38172),f164(x38171)),x38173)),f326(f191(f873(x38171)),x38173))
% 149.08/148.74 [3820]E(f326(f326(f265(x38201,x38202,x38202),f326(f16(f880(x38202,x38202),x38201),f5(x38202))),x38203),f326(f264(x38201,x38202),x38203))
% 149.08/148.74 [3826]E(f45(a1,f326(f326(f22(a1),f45(a1,x38261,x38262)),x38263),x38262),f45(a1,f326(f326(f22(a1),x38261),x38263),x38262))
% 149.08/148.74 [3827]E(f45(a1,f326(f326(f251(a1),f45(a1,x38271,x38272)),x38273),x38272),f45(a1,f326(f326(f251(a1),x38271),x38273),x38272))
% 149.08/148.74 [3830]E(f326(f326(f42(f880(f879(x38301,x38302),a866),f880(x38302,a866)),x38303),f257(x38301,x38302)),f326(f257(x38301,x38302),f40(f880(f879(x38301,x38302),a866),x38303)))
% 149.08/148.74 [3831]E(f326(f326(f42(f880(f879(x38311,x38312),a866),f880(x38311,a866)),x38313),f259(x38311,x38312)),f326(f259(x38311,x38312),f40(f880(f879(x38311,x38312),a866),x38313)))
% 149.08/148.74 [3857]E(f326(f74(x38571,x38571,x38571,x38572),f326(f326(f185(x38571,x38571),x38573),x38572)),f326(f326(f185(x38571,x38571),f326(a117,x38573)),x38572))
% 149.08/148.74 [3867]E(f235(f876(x38671),x38672,f193(x38671),f326(f326(f8(x38671,f876(x38671),x38672),f233(x38671)),x38673)),f326(f204(x38672,x38671),x38673))
% 149.08/148.74 [3874]E(f326(f326(f134(x38741),f326(f326(f22(a872),f326(f191(f873(x38741)),x38742)),x38743)),f326(f165(x38741),x38742)),f326(f165(x38741),f326(f326(f171(x38741),x38743),x38742)))
% 149.08/148.74 [3875]E(f326(f326(f171(x38751),f326(f326(f22(a872),f326(f191(f873(x38751)),x38752)),x38753)),f326(f165(x38751),x38752)),f326(f165(x38751),f326(f326(f134(x38751),x38753),x38752)))
% 149.08/148.74 [3878]E(f326(f326(f81(a872),f326(f162(a872),f326(f326(f150(x38781,a872),x38782),x38783))),f326(f191(f873(x38781)),x38783)),f151(x38781,x38782,x38783))
% 149.08/148.74 [3896]E(f326(f164(x38961),f326(f326(f326(f185(f873(x38961),f873(x38961)),x38962),f164(x38961)),x38963)),f326(f326(f326(f185(f873(x38961),f873(x38961)),f326(a117,x38962)),f164(x38961)),x38963))
% 149.08/148.74 [3911]P103(f326(f326(f240(a872),f326(f191(f873(x39111)),f326(f132(x39111,x39112),x39113))),f326(f191(f873(x39111)),x39113)))
% 149.08/148.74 [3928]E(f326(f326(f115(f880(f880(x39281,a866),a866)),f326(f303(x39281),x39282)),f326(f305(f880(x39281,a866),f880(x39281,a866),f326(f304(x39281),x39283)),f326(f303(x39281),x39282))),f326(f303(x39281),f326(f326(f304(x39281),x39283),x39282)))
% 149.08/148.74 [3946]P20(x39461,x39462,f326(f326(f304(f871(x39461)),f326(f326(f326(f93(x39461),x39463),a24),x39463)),f190(f880(f871(x39461),a866))))
% 149.08/148.74 [3962]P103(f326(f326(f240(a872),f326(f191(f873(x39621)),f173(x39621,x39622,x39623))),f326(f191(f873(x39621)),x39623)))
% 149.08/148.74 [3970]E(f326(f259(x39701,x39702),f326(f246(f879(x39701,x39702)),f326(f265(x39701,x39702,a866),x39703))),f326(f246(x39701),f326(f326(f8(f880(x39702,a866),a866,x39701),f88(x39702)),x39703)))
% 149.08/148.74 [3982]E(f326(f305(a872,a872,f326(f326(f7(a872,a872,a872),f81(a872)),x39821)),f297(a872,x39822,x39823)),f297(a872,f326(f326(f81(a872),x39822),x39821),f326(f326(f81(a872),x39823),x39821)))
% 149.08/148.74 [3985]P103(f326(f62(f876(x39851)),f326(f305(x39852,f876(x39851),f326(f174(x39852,x39851),x39853)),f249(f880(x39852,a866)))))
% 149.08/148.74 [3998]E(f326(f305(a872,a872,f326(f326(f7(a872,a872,a872),f81(a872)),x39981)),f326(f296(a872,x39982),x39983)),f326(f296(a872,f326(f326(f81(a872),x39982),x39981)),f326(f326(f81(a872),x39983),x39981)))
% 149.08/148.74 [4016]E(f326(f326(f178(x40161,x40162),f326(f326(f150(f879(x40161,x40162),x40161),f260(x40161,x40162)),x40163)),f326(f326(f150(f879(x40161,x40162),x40162),f264(x40161,x40162)),x40163)),x40163)
% 149.08/148.74 [4021]E(f326(f326(f81(a872),f326(f326(f82(a872),x40211),f45(a872,f326(f326(f39(a872),x40212),x40211),x40213))),f45(a872,x40212,x40211)),f45(a872,x40212,f326(f326(f82(a872),x40211),x40213)))
% 149.08/148.74 [4035]E(f326(f326(f126(x40351),x40352),f326(f138(f873(x40351),f873(x40351),f126(x40351),f118(x40351)),x40353)),f326(f138(f873(x40351),f873(x40351),f126(x40351),x40352),x40353))
% 149.08/148.74 [4053]P103(f326(f326(f328(f879(x40531,x40531)),f326(f326(f261(x40531,x40531),x40532),x40532)),f326(f326(f185(f879(x40531,x40531),a866),f2(a872)),x40533)))
% 149.08/148.74 [4059]E(f326(f246(x40591),f326(f326(f8(f880(x40592,a866),a866,x40591),f88(x40592)),f326(f7(x40592,x40591,a866),x40593))),f326(f257(x40592,x40591),f326(f246(f879(x40592,x40591)),f326(f265(x40592,x40591,a866),x40593))))
% 149.08/148.74 [4077]E(f326(f326(f115(f880(x40771,a866)),f326(f326(f42(a872,f880(x40771,a866)),f297(a872,f79(a872),x40772)),x40773)),f326(x40773,f2(a872))),f326(f326(f42(a872,f880(x40771,a866)),f326(f295(a872),x40772)),x40773))
% 149.08/148.74 [4092]E(f326(f138(f873(x40921),f873(x40921),f126(x40921),f118(x40921)),f326(f326(f150(f873(x40921),f873(x40921)),f132(x40921,x40922)),x40923)),f326(f132(x40921,x40922),f326(f138(f873(x40921),f873(x40921),f126(x40921),f118(x40921)),x40923)))
% 149.08/148.74 [4097]E(f326(f264(f873(x40971),f873(x40971)),f163(x40971,x40972,x40973)),f326(f132(x40971,f326(f74(a866,a866,x40971,a321),x40972)),x40973))
% 149.08/148.74 [4115]E(f326(f326(f43(x41151,f880(x41152,a866)),f249(f880(x41151,a866))),f326(f326(f8(f880(x41152,a866),f880(x41152,a866),x41151),f246(x41152)),f326(f7(x41152,x41151,a866),x41153))),f326(f246(x41152),f326(f326(f8(f880(x41151,a866),a866,x41152),f89(x41151)),x41153)))
% 149.08/148.74 [4146]E(f326(f326(f81(a1),f326(f326(f81(a1),f326(f326(f82(a1),x41461),f326(f326(f39(a1),x41462),x41461))),f45(a1,x41462,x41461))),x41463),f326(f326(f81(a1),x41462),x41463))
% 149.08/148.74 [4183]E(f326(f326(f81(a1),f326(f326(f81(a1),f326(f326(f82(a1),f326(f326(f39(a1),x41831),x41832)),x41832)),f45(a1,x41831,x41832))),x41833),f326(f326(f81(a1),x41831),x41833))
% 149.08/148.74 [4212]E(f86(f879(x42121,x42122),f326(f265(x42121,x42122,a866),f326(f326(f8(f880(x42122,f879(x42121,x42122)),f880(x42122,a866),x42121),f326(f8(f879(x42121,x42122),a866,x42122),x42123)),f261(x42121,x42122)))),f86(f879(x42121,x42122),x42123))
% 149.08/148.74 [4213]E(f91(f879(x42131,x42132),f326(f265(x42131,x42132,a866),f326(f326(f8(f880(x42132,f879(x42131,x42132)),f880(x42132,a866),x42131),f326(f8(f879(x42131,x42132),a866,x42132),x42133)),f261(x42131,x42132)))),f91(f879(x42131,x42132),x42133))
% 149.08/148.74 [4241]P103(f326(f326(f240(f880(x42411,a866)),f40(f880(x42411,a866),f326(f326(f106(f880(f880(x42411,a866),a866)),x42412),x42413))),f326(f326(f106(f880(x42411,a866)),f40(f880(x42411,a866),x42412)),f40(f880(x42411,a866),x42413))))
% 149.08/148.74 [4242]E(f326(f165(x42421),f326(f326(f326(f185(f873(x42421),f873(x42421)),f326(f326(f22(a872),f326(f191(f873(x42421)),x42422)),f45(a872,x42423,f326(f191(f873(x42421)),x42422)))),f164(x42421)),x42422)),f326(f326(f326(f185(f873(x42421),f873(x42421)),x42423),f164(x42421)),f326(f165(x42421),x42422)))
% 149.08/148.74 [4256]E(f326(f246(x42561),f326(f326(f8(a866,a866,x42561),a321),f326(f326(f7(x42561,f876(x42562),a866),f326(f326(f8(f876(x42562),f880(f876(x42562),a866),x42561),a323),x42563)),f193(x42562)))),f180(x42561,x42562,x42563))
% 149.08/148.74 [4281]P103(f326(f326(f240(a872),f326(f191(f873(x42811)),f326(f326(f134(x42811),f326(f191(f873(x42811)),f173(x42811,x42812,x42813))),x42813))),f326(f191(f873(x42811)),x42813)))
% 149.08/148.74 [4321]E(f326(f246(x43211),f326(f326(f8(f880(x43212,a866),a866,x43211),f88(x43212)),f326(f326(f8(f876(x43211),f880(x43212,a866),x43211),f326(f7(x43212,f876(x43211),a866),f326(f326(f8(f876(x43211),f880(f876(x43211),a866),x43212),a323),x43213))),f233(x43211)))),f182(x43212,x43211,x43213))
% 149.08/148.74 [4544]~P103(f326(f63(x45441,x45442,f190(f880(x45441,a866))),x45443))
% 149.08/148.74 [4552]~P103(f326(f326(f328(f879(x45521,x45521)),f326(f326(f261(x45521,x45521),x45522),x45523)),f149(x45521,f118(f880(x45521,a872)))))
% 149.08/148.74 [3581]E(f326(f191(f873(x35811)),f326(f326(f171(x35811),x35812),x35813)),f326(f326(f238(a872),f326(f191(f873(x35811)),x35813)),x35812))
% 149.08/148.74 [3582]E(f326(f191(f873(x35821)),f326(f326(f134(x35821),x35822),x35823)),f326(f326(f22(a872),f326(f191(f873(x35821)),x35823)),x35822))
% 149.08/148.74 [3606]E(f326(f191(f873(f873(x36061))),f55(x36061,x36062,x36063)),f326(f326(f251(a872),f326(f191(f873(x36061)),x36063)),x36062))
% 149.08/148.74 [3622]E(f326(f326(f39(a872),f326(f326(f39(a872),x36221),x36222)),x36223),f326(f326(f39(a872),x36221),f326(f326(f82(a872),x36222),x36223)))
% 149.08/148.74 [3623]E(f326(f326(f22(a872),f326(f326(f22(a872),x36231),x36232)),x36233),f326(f326(f22(a872),x36231),f326(f326(f81(a872),x36232),x36233)))
% 149.08/148.74 [3624]E(f326(f326(f81(a872),f326(f326(f81(a872),x36241),x36242)),x36243),f326(f326(f81(a872),x36241),f326(f326(f81(a872),x36242),x36243)))
% 149.08/148.74 [3625]E(f326(f326(f81(a1),f326(f326(f81(a1),x36251),x36252)),x36253),f326(f326(f81(a1),x36251),f326(f326(f81(a1),x36252),x36253)))
% 149.08/148.74 [3626]E(f326(f326(f82(a872),f326(f326(f82(a872),x36261),x36262)),x36263),f326(f326(f82(a872),x36261),f326(f326(f82(a872),x36262),x36263)))
% 149.08/148.74 [3627]E(f326(f326(f82(a1),f326(f326(f82(a1),x36271),x36272)),x36273),f326(f326(f82(a1),x36271),f326(f326(f82(a1),x36272),x36273)))
% 149.08/148.74 [3628]E(f326(f326(f251(a1),f326(f326(f251(a1),x36281),x36282)),x36283),f326(f326(f251(a1),x36281),f326(f326(f82(a872),x36282),x36283)))
% 149.08/148.74 [3648]E(f158(x36481,f326(f326(f147(f880(x36481,a866)),x36482),x36483)),f170(x36481,x36482,f158(x36481,x36483)))
% 149.08/148.74 [3693]E(f326(f326(f22(a872),f326(f326(f22(a872),x36931),x36932)),x36933),f326(f326(f22(a872),f326(f326(f22(a872),x36931),x36933)),x36932))
% 149.08/148.74 [3699]E(f326(f233(f879(x36991,f874(x36991))),f326(f326(f261(x36991,f874(x36991)),x36992),x36993)),f326(f129(x36991),f127(x36991,x36992,x36993)))
% 149.08/148.74 [3702]E(f326(f326(f106(f880(x37021,a866)),x37022),f326(f326(f22(f880(x37021,a866)),x37023),x37022)),f190(f880(x37021,a866)))
% 149.08/148.74 [3743]E(f40(f880(x37431,a866),f326(f326(f304(f880(x37431,a866)),x37432),x37433)),f326(f326(f115(f880(x37431,a866)),x37432),f40(f880(x37431,a866),x37433)))
% 149.08/148.74 [3744]E(f41(f880(x37441,a866),f326(f326(f304(f880(x37441,a866)),x37442),x37443)),f326(f326(f106(f880(x37441,a866)),x37442),f41(f880(x37441,a866),x37443)))
% 149.08/148.74 [3746]E(f326(f326(f22(a872),f326(f326(f82(a872),x37461),x37462)),f326(f326(f82(a872),x37463),x37462)),f326(f326(f82(a872),f326(f326(f22(a872),x37461),x37463)),x37462))
% 149.08/148.74 [3747]E(f326(f326(f81(a872),f326(f326(f82(a872),x37471),x37472)),f326(f326(f82(a872),x37473),x37472)),f326(f326(f82(a872),f326(f326(f81(a872),x37471),x37473)),x37472))
% 149.08/148.74 [3748]E(f326(f326(f22(a1),f326(f326(f82(a1),x37481),x37482)),f326(f326(f82(a1),x37483),x37482)),f326(f326(f82(a1),f326(f326(f22(a1),x37481),x37483)),x37482))
% 149.08/148.74 [3749]E(f326(f326(f81(a1),f326(f326(f82(a1),x37491),x37492)),f326(f326(f82(a1),x37493),x37492)),f326(f326(f82(a1),f326(f326(f81(a1),x37491),x37493)),x37492))
% 149.08/148.74 [3751]E(f326(f326(f238(a872),f326(f326(f22(a872),x37511),x37512)),f326(f326(f22(a872),x37513),x37512)),f326(f326(f22(a872),f326(f326(f238(a872),x37511),x37513)),x37512))
% 149.08/148.74 [3774]E(f326(f326(f106(f880(f873(x37741),a866)),f156(x37741,x37742)),f156(x37741,x37743)),f156(x37741,f326(f326(f106(f880(x37741,a866)),x37742),x37743)))
% 149.08/148.74 [3776]E(f326(f326(f115(f880(x37761,a866)),x37762),f326(f326(f115(f880(x37761,a866)),x37762),x37763)),f326(f326(f115(f880(x37761,a866)),x37762),x37763))
% 149.08/148.74 [3777]E(f326(f326(f115(f880(x37771,a866)),x37772),f326(f326(f22(f880(x37771,a866)),x37773),x37772)),f326(f326(f115(f880(x37771,a866)),x37772),x37773))
% 149.08/148.74 [3778]E(f326(f326(f106(f880(x37781,a866)),x37782),f326(f326(f106(f880(x37781,a866)),x37782),x37783)),f326(f326(f106(f880(x37781,a866)),x37782),x37783))
% 149.08/148.74 [3790]E(f326(f326(f283(x37901,x37902,x37902),x37903),f302(x37902,f190(f880(f879(x37902,x37902),a866)))),x37903)
% 149.08/148.74 [3793]E(f326(f326(f115(f880(x37931,a866)),f326(f326(f304(x37931),x37932),f190(f880(x37931,a866)))),x37933),f326(f326(f304(x37931),x37932),x37933))
% 149.08/148.74 [3811]E(f326(f326(f22(a872),f326(f326(f22(a872),f326(a117,x38111)),x38112)),f326(a117,x38113)),f326(f326(f22(a872),f326(f326(f22(a872),x38111),x38112)),x38113))
% 149.08/148.74 [3839]E(f326(f326(f106(f880(f880(x38391,a866),a866)),f326(f303(x38391),x38392)),f326(f303(x38391),x38393)),f326(f303(x38391),f326(f326(f106(f880(x38391,a866)),x38392),x38393)))
% 149.08/148.74 [3843]E(f326(f326(f115(f880(x38431,a866)),f326(f80(f880(x38431,a866)),x38432)),x38433),f326(f80(f880(x38431,a866)),f326(f326(f22(f880(x38431,a866)),x38432),x38433)))
% 149.08/148.74 [3854]E(f326(f326(f304(x38541),x38542),f326(f326(f22(f880(x38541,a866)),x38543),f326(f326(f304(x38541),x38542),f190(f880(x38541,a866))))),f326(f326(f304(x38541),x38542),x38543))
% 149.08/148.74 [3864]P103(f326(f326(f240(f880(x38641,a866)),x38642),f326(f326(f115(f880(x38641,a866)),x38643),x38642)))
% 149.08/148.74 [3865]P103(f326(f326(f240(f880(x38651,a866)),x38652),f326(f326(f115(f880(x38651,a866)),x38652),x38653)))
% 149.08/148.74 [3868]E(f326(f326(f106(f880(x38681,a866)),f326(f80(f880(x38681,a866)),x38682)),f326(f80(f880(x38681,a866)),x38683)),f326(f80(f880(x38681,a866)),f326(f326(f115(f880(x38681,a866)),x38682),x38683)))
% 149.08/148.74 [3869]E(f326(f326(f115(f880(x38691,a866)),f326(f80(f880(x38691,a866)),x38692)),f326(f80(f880(x38691,a866)),x38693)),f326(f80(f880(x38691,a866)),f326(f326(f106(f880(x38691,a866)),x38692),x38693)))
% 149.08/148.74 [3883]P103(f326(f326(f240(f880(x38831,a866)),f326(f168(x38831),x38832)),f326(f168(x38831),f326(f326(f147(x38831),x38833),x38832))))
% 149.08/148.74 [3893]E(f326(f326(f115(f880(x38931,a866)),f326(f326(f22(f880(x38931,a866)),x38932),x38933)),f326(f326(f106(f880(x38931,a866)),x38932),x38933)),x38932)
% 149.08/148.74 [3948]E(f326(f326(f6(x39481,a1),f326(f326(f8(a872,a1,x39481),f105(a1)),x39482)),x39483),f326(f105(a1),f326(f326(f6(x39481,a872),x39482),x39483)))
% 149.08/148.74 [3949]E(f326(f326(f9(x39491,a1),f326(f326(f8(a872,a1,x39491),f105(a1)),x39492)),x39493),f326(f105(a1),f326(f326(f9(x39491,a872),x39492),x39493)))
% 149.08/148.74 [4000]E(f326(f326(f126(x40001),f173(x40001,x40002,x40003)),f326(f326(f134(x40001),f326(f191(f873(x40001)),f173(x40001,x40002,x40003))),x40003)),x40003)
% 149.08/148.74 [4005]E(f326(f80(f880(f879(x40051,x40052),a866)),f326(f326(f263(x40051,x40052),x40053),f326(f16(f880(x40052,a866),x40051),f249(f880(x40052,a866))))),f326(f326(f263(x40051,x40052),f326(f80(f880(x40051,a866)),x40053)),f326(f16(f880(x40052,a866),x40051),f249(f880(x40052,a866)))))
% 149.08/148.74 [4006]E(f326(f80(f880(f879(x40061,x40062),a866)),f326(f326(f263(x40061,x40062),f249(f880(x40061,a866))),f326(f16(f880(x40062,a866),x40061),x40063))),f326(f326(f263(x40061,x40062),f249(f880(x40061,a866))),f326(f16(f880(x40062,a866),x40061),f326(f80(f880(x40062,a866)),x40063))))
% 149.08/148.74 [4054]E(f326(f326(f42(f880(x40541,a866),f880(x40541,a866)),x40542),f326(f326(f7(f880(x40541,a866),f880(x40541,a866),f880(x40541,a866)),f106(f880(x40541,a866))),x40543)),f326(f326(f106(f880(x40541,a866)),f40(f880(x40541,a866),x40542)),x40543))
% 149.08/148.74 [4061]E(f326(f138(f873(x40611),f873(x40611),f126(x40611),f118(x40611)),f326(f326(f147(f873(x40611)),x40612),x40613)),f326(f326(f126(x40611),x40612),f326(f138(f873(x40611),f873(x40611),f126(x40611),f118(x40611)),x40613)))
% 149.08/148.74 [4083]E(f326(f326(f304(f880(x40831,a866)),f326(f280(x40831,x40831,x40832),f326(f326(f304(x40831),x40833),f190(f880(x40831,a866))))),f190(f880(f880(x40831,a866),a866))),f326(f326(f61(x40831),f326(f326(f304(x40831),x40833),f190(f880(x40831,a866)))),x40832))
% 149.08/148.74 [4093]E(f326(f326(f81(a872),f326(f326(f82(a872),x40931),f326(f326(f39(a872),x40932),x40933))),f326(f326(f39(a872),f326(f326(f82(a872),x40931),f45(a872,x40932,x40933))),x40933)),f326(f326(f39(a872),f326(f326(f82(a872),x40931),x40932)),x40933))
% 149.08/148.74 [4094]E(f326(f326(f81(a1),f326(f326(f82(a1),x40941),f326(f326(f39(a1),x40942),x40943))),f326(f326(f39(a1),f326(f326(f82(a1),x40941),f45(a1,x40942,x40943))),x40943)),f326(f326(f39(a1),f326(f326(f82(a1),x40941),x40942)),x40943))
% 149.08/148.74 [4131]E(f326(f326(f22(f880(x41311,a866)),f326(f168(x41311),x41312)),f326(f326(f304(x41311),x41313),f190(f880(x41311,a866)))),f326(f168(x41311),f326(f132(x41311,f326(f326(f8(a866,a866,x41311),a321),f326(a323,x41313))),x41312)))
% 149.08/148.74 [4180]E(f326(f326(f126(x41801),f326(f138(f873(x41801),f873(x41801),f126(x41801),f118(x41801)),x41802)),f326(f138(f873(x41801),f873(x41801),f126(x41801),f118(x41801)),x41803)),f326(f138(f873(x41801),f873(x41801),f126(x41801),f118(x41801)),f326(f326(f126(f873(x41801)),x41802),x41803)))
% 149.08/148.74 [4185]E(f326(f326(f261(f873(x41851),f873(x41851)),f326(f132(x41851,x41852),x41853)),f326(f132(x41851,f326(f74(a866,a866,x41851,a321),x41852)),x41853)),f163(x41851,x41852,x41853))
% 149.08/148.74 [4188]E(f326(f326(f81(a872),f326(f326(f81(a872),f326(f326(f39(a872),x41881),x41882)),f326(f326(f39(a872),x41883),x41882))),f326(f326(f39(a872),f326(f326(f81(a872),f45(a872,x41881,x41882)),f45(a872,x41883,x41882))),x41882)),f326(f326(f39(a872),f326(f326(f81(a872),x41881),x41883)),x41882))
% 149.08/148.74 [4189]E(f326(f326(f81(a1),f326(f326(f81(a1),f326(f326(f39(a1),x41891),x41892)),f326(f326(f39(a1),x41893),x41892))),f326(f326(f39(a1),f326(f326(f81(a1),f45(a1,x41891,x41892)),f45(a1,x41893,x41892))),x41892)),f326(f326(f39(a1),f326(f326(f81(a1),x41891),x41893)),x41892))
% 149.08/148.74 [4245]E(f326(f326(f106(f880(f873(x42451),a866)),f326(f326(f7(f873(x42451),f880(f873(x42451),a866),a866),f328(f873(x42451))),f157(x42451,x42452))),f326(f326(f7(f873(x42451),f880(f873(x42451),a866),a866),f328(f873(x42451))),f157(x42451,x42453))),f156(x42451,f326(f326(f106(f880(x42451,a866)),f326(f326(f7(x42451,f880(x42451,a866),a866),f328(x42451)),x42452)),f326(f326(f7(x42451,f880(x42451,a866),a866),f328(x42451)),x42453))))
% 149.08/148.74 [4258]E(f326(f246(x42581),f326(f326(f18(x42581,a866,a866),f326(f326(f8(a866,f880(a866,a866),x42581),a325),f326(f326(f7(x42581,x42581,a866),a323),x42582))),f326(f326(f7(x42581,f880(x42581,a866),a866),f328(x42581)),x42583))),f326(f326(f304(x42581),x42582),x42583))
% 149.08/148.74 [4278]E(f326(f326(f87(f873(f873(x42781)),f873(f873(x42781))),f54(x42781,x42782)),f326(f326(f18(f873(f873(x42781)),f873(f873(x42781)),f873(f873(x42781))),f326(f326(f8(f873(f873(x42781)),f880(f873(f873(x42781)),f873(f873(x42781))),f873(f873(x42781))),f126(f873(x42781))),f326(f150(f873(x42781),f873(x42781)),f326(f147(x42781),x42783)))),f5(f873(f873(x42781))))),f54(x42781,f326(f326(f147(x42781),x42783),x42782)))
% 149.08/148.74 [4282]E(f326(f246(x42821),f326(f326(f18(x42821,a866,a866),f326(f326(f8(a866,f880(a866,a866),x42821),a325),f326(f326(f7(x42821,f880(x42821,a866),a866),f328(x42821)),x42822))),f326(f326(f7(x42821,f880(x42821,a866),a866),f328(x42821)),x42823))),f326(f326(f115(f880(x42821,a866)),x42822),x42823))
% 149.08/148.74 [4283]E(f326(f246(x42831),f326(f326(f18(x42831,a866,a866),f326(f326(f8(a866,f880(a866,a866),x42831),a324),f326(f326(f7(x42831,f880(x42831,a866),a866),f328(x42831)),x42832))),f326(f326(f7(x42831,f880(x42831,a866),a866),f328(x42831)),x42833))),f326(f326(f106(f880(x42831,a866)),x42832),x42833))
% 149.08/148.74 [4373]E(f326(f326(f42(x43731,f880(f880(x43731,a866),a866)),x43732),f326(f326(f7(x43731,f880(f880(x43731,a866),a866),f880(f880(x43731,a866),a866)),f326(f326(f8(f880(x43731,a866),f880(f880(f880(x43731,a866),a866),f880(f880(x43731,a866),a866)),x43731),f304(f880(x43731,a866))),f326(f326(f8(f880(x43731,a866),f880(x43731,a866),x43731),f280(x43731,x43731,x43733)),f326(f326(f7(x43731,f880(x43731,a866),f880(x43731,a866)),f304(x43731)),f190(f880(x43731,a866)))))),f190(f880(f880(x43731,a866),a866)))),f326(f326(f61(x43731),x43732),x43733))
% 149.08/148.74 [4375]E(f326(f326(f205(x43751),f326(f326(f82(a1),f326(f326(f74(f879(a1,a1),a1,x43751,f260(a1,a1)),f217(x43751)),x43752)),f326(f326(f74(f879(a1,a1),a1,x43751,f260(a1,a1)),f217(x43751)),x43753))),f326(f326(f82(a1),f326(f326(f74(f879(a1,a1),a1,x43751,f264(a1,a1)),f217(x43751)),x43752)),f326(f326(f74(f879(a1,a1),a1,x43751,f264(a1,a1)),f217(x43751)),x43753))),f226(x43751,x43752,x43753))
% 149.08/148.74 [4378]E(f326(f246(f873(x43781)),f326(f326(f18(f873(x43781),a866,a866),f326(f326(f8(a866,f880(a866,a866),f873(x43781)),a324),f326(f326(f7(f873(x43781),a872,a866),f326(f326(f8(a872,f880(a872,a866),f873(x43781)),a323),f191(f873(x43781)))),x43782))),f326(f326(f7(f873(x43781),f880(x43781,a866),a866),f326(f326(f8(f880(x43781,a866),f880(f880(x43781,a866),a866),f873(x43781)),f240(f880(x43781,a866))),f168(x43781))),f326(f168(x43781),x43783)))),f326(f168(f873(x43781)),f55(x43781,x43782,x43783)))
% 149.08/148.74 [3764]E(f45(a872,f326(f326(f81(a872),f326(f326(f82(a872),x37641),x37642)),x37643),x37642),f45(a872,x37643,x37642))
% 149.08/148.74 [3810]E(f135(a872,f326(f296(a872,f326(f326(f81(a872),x38101),x38102)),x38103)),f326(f326(f134(a872),x38102),f135(a872,f326(f296(a872,x38101),x38103))))
% 149.08/148.74 [3853]E(f326(f326(f81(a1),f326(f105(a1),x38531)),f326(f326(f81(a1),f326(f105(a1),x38532)),x38533)),f326(f326(f81(a1),f326(f105(a1),f326(f326(f81(a872),x38531),x38532))),x38533))
% 149.08/148.74 [3860]E(f326(f326(f115(f880(x38601,a866)),f326(f326(f22(f880(x38601,a866)),x38602),x38603)),x38603),f326(f326(f115(f880(x38601,a866)),x38602),x38603))
% 149.08/148.74 [3861]E(f326(f326(f22(f880(x38611,a866)),f326(f326(f22(f880(x38611,a866)),x38612),x38613)),x38613),f326(f326(f22(f880(x38611,a866)),x38612),x38613))
% 149.08/148.74 [3884]E(f326(f326(f283(x38841,x38841,x38842),f302(x38841,f190(f880(f879(x38841,x38841),a866)))),x38843),x38843)
% 149.08/148.74 [3890]E(f326(f326(f115(f880(x38901,a866)),f326(f279(x38901),x38902)),f326(f279(x38901),x38903)),f326(f279(x38901),f326(f326(f115(f880(f879(x38901,x38901),a866)),x38902),x38903)))
% 149.08/148.74 [3901]E(f270(x39011,f326(f326(f147(f879(a104,x39011)),f326(f326(f261(a104,x39011),f2(a104)),x39012)),x39013)),f270(x39011,x39013))
% 149.08/148.74 [3904]E(f326(f326(f115(f880(x39041,a866)),f40(f880(x39041,a866),x39042)),f40(f880(x39041,a866),x39043)),f40(f880(x39041,a866),f326(f326(f115(f880(f880(x39041,a866),a866)),x39042),x39043)))
% 149.08/148.74 [3905]E(f326(f326(f106(f880(x39051,a866)),f41(f880(x39051,a866),x39052)),f41(f880(x39051,a866),x39053)),f41(f880(x39051,a866),f326(f326(f115(f880(f880(x39051,a866),a866)),x39052),x39053)))
% 149.08/148.74 [3940]E(f326(f326(f283(x39401,x39401,x39401),f326(f326(f185(f879(x39401,x39401),a866),x39402),x39403)),x39403),f326(f326(f185(f879(x39401,x39401),a866),f326(a117,x39402)),x39403))
% 149.08/148.74 [3991]P103(f326(f326(f240(f880(x39911,a866)),f326(f326(f22(f880(x39911,a866)),x39912),x39913)),x39912))
% 149.08/148.74 [3992]P103(f326(f326(f240(f880(x39921,a866)),f326(f326(f106(f880(x39921,a866)),x39922),x39923)),x39923))
% 149.08/148.74 [3993]P103(f326(f326(f240(f880(x39931,a866)),f326(f326(f106(f880(x39931,a866)),x39932),x39933)),x39932))
% 149.08/148.74 [4018]E(f302(x40181,f326(f326(f115(f880(f879(x40181,x40181),a866)),f302(x40181,x40182)),f302(x40181,x40183))),f302(x40181,f326(f326(f115(f880(f879(x40181,x40181),a866)),x40182),x40183)))
% 149.08/148.74 [4022]E(f40(f880(x40221,a866),f326(f326(f304(f880(x40221,a866)),x40222),f326(f326(f304(f880(x40221,a866)),x40223),f190(f880(f880(x40221,a866),a866))))),f326(f326(f115(f880(x40221,a866)),x40222),x40223))
% 149.08/148.74 [4023]E(f41(f880(x40231,a866),f326(f326(f304(f880(x40231,a866)),x40232),f326(f326(f304(f880(x40231,a866)),x40233),f190(f880(f880(x40231,a866),a866))))),f326(f326(f106(f880(x40231,a866)),x40232),x40233))
% 149.08/148.74 [4029]E(f326(f326(f283(x40291,x40291,x40291),f326(f326(f185(f879(x40291,x40291),a866),x40292),x40293)),x40293),f326(f326(f283(x40291,x40291,x40291),x40293),f326(f326(f185(f879(x40291,x40291),a866),x40292),x40293)))
% 149.08/148.74 [4098]E(f326(f326(f115(f880(x40981,a866)),f326(f246(x40981),f326(f326(f7(x40981,x40981,a866),a323),x40982))),x40983),f326(f326(f304(x40981),x40982),x40983))
% 149.08/148.74 [4100]E(f326(a109,f326(f326(f6(x41001,a1),f326(f326(f8(a872,a1,x41001),f105(a1)),x41002)),x41003)),f326(f326(f6(x41001,a872),x41002),x41003))
% 149.08/148.74 [4101]E(f326(a109,f326(f326(f9(x41011,a1),f326(f326(f8(a872,a1,x41011),f105(a1)),x41012)),x41013)),f326(f326(f9(x41011,a872),x41012),x41013))
% 149.08/148.74 [4177]E(f326(f152(f873(x41771),x41771,f326(f167(x41771),x41772),f326(f16(f880(f873(x41771),f873(x41771)),x41771),f326(f326(f7(f873(x41771),f873(x41771),f873(x41771)),f126(x41771)),x41772))),x41773),f326(f167(x41771),f326(f326(f126(x41771),x41773),x41772)))
% 149.08/148.74 [4208]P103(f326(f326(f240(f880(f880(x42081,a866),a866)),f326(f326(f115(f880(f880(x42081,a866),a866)),f326(f303(x42081),x42082)),f326(f303(x42081),x42083))),f326(f303(x42081),f326(f326(f115(f880(x42081,a866)),x42082),x42083))))
% 149.08/148.74 [4301]E(f326(f246(x43011),f326(f326(f18(x43011,a866,a866),f326(f326(f8(a866,f880(a866,a866),x43011),a324),f326(f326(f7(x43011,f880(x43011,a866),a866),f328(x43011)),x43012))),f326(f326(f8(a866,a866,x43011),a321),f326(f326(f7(x43011,f880(x43011,a866),a866),f328(x43011)),x43013)))),f326(f326(f22(f880(x43011,a866)),x43012),x43013))
% 149.08/148.74 [4322]E(f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,a872,a866),f241(a872)),f326(f191(f873(x43221)),x43222)))),f326(f326(f8(x43221,a866,a872),x43223),f326(f161(x43221),x43222))))),f326(f191(f873(x43221)),f326(f132(x43221,x43223),x43222)))
% 149.08/148.74 [4324]E(f326(f191(f873(x43241)),f172(x43241,x43242,x43243)),f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,a872,a866),f241(a872)),f326(f191(f873(x43241)),x43242)))),f326(f326(f7(a872,f880(a872,a866),a866),f328(a872)),x43243)))))
% 149.08/148.74 [4421]E(f326(f326(f106(f880(f879(f873(x44211),f873(x44211)),a866)),f326(f305(f879(f879(x44211,f873(x44211)),f879(x44211,f873(x44211))),f879(f873(x44211),f873(x44211)),f266(f879(x44211,f873(x44211)),f873(x44211),f879(x44211,f873(x44211)),f873(x44211),f326(f265(x44211,f873(x44211),f873(x44211)),f147(x44211)),f326(f265(x44211,f873(x44211),f873(x44211)),f147(x44211)))),f318(x44211,f873(x44211),x44212,f326(f139(x44211,x44212),x44213)))),f326(f246(f879(f873(x44211),f873(x44211))),f326(f265(f873(x44211),f873(x44211),a866),f326(f326(f7(f873(x44211),f880(f873(x44211),a866),f880(f873(x44211),a866)),f326(f326(f8(f880(a866,a866),f880(f880(f873(x44211),a866),f880(f873(x44211),a866)),f873(x44211)),f8(a866,a866,f873(x44211))),f326(f326(f8(a866,f880(a866,a866),f873(x44211)),a324),f326(f326(f7(f873(x44211),a872,a866),f326(f326(f8(a872,f880(a872,a866),f873(x44211)),a323),f191(f873(x44211)))),f326(a117,x44213))))),f326(f326(f7(f873(x44211),a872,a866),f326(f326(f8(a872,f880(a872,a866),f873(x44211)),a323),f191(f873(x44211)))),f326(a117,x44213)))))),f326(f139(x44211,x44212),f326(a117,x44213)))
% 149.08/148.74 [3906]E(f45(a872,f326(a117,f326(f326(f81(a872),f326(f326(f82(a872),x39061),x39062)),x39063)),x39062),f45(a872,f326(a117,x39063),x39062))
% 149.08/148.74 [4166]E(f326(f246(x41661),f326(f326(f18(x41661,a866,a866),f326(f326(f8(a866,f880(a866,a866),x41661),a324),x41662)),x41663)),f326(f326(f106(f880(x41661,a866)),f326(f246(x41661),x41662)),f326(f246(x41661),x41663)))
% 149.08/148.74 [4167]E(f326(f246(x41671),f326(f326(f18(x41671,a866,a866),f326(f326(f8(a866,f880(a866,a866),x41671),a325),x41672)),x41673)),f326(f326(f115(f880(x41671,a866)),f326(f246(x41671),x41672)),f326(f246(x41671),x41673)))
% 149.08/148.74 [4169]E(f326(f326(f126(x41691),f326(f326(f134(x41691),f45(a872,x41692,f326(f191(f873(x41691)),x41693))),x41693)),f326(f326(f171(x41691),f45(a872,x41692,f326(f191(f873(x41691)),x41693))),x41693)),f326(f326(f326(f185(f873(x41691),f873(x41691)),x41692),f164(x41691)),x41693))
% 149.08/148.74 [4174]E(f326(f246(x41741),f326(f326(f18(x41741,a866,a866),f326(f326(f8(a866,f880(a866,a866),x41741),a329),x41742)),x41743)),f326(f326(f115(f880(x41741,a866)),f326(f80(f880(x41741,a866)),f326(f246(x41741),x41742))),f326(f246(x41741),x41743)))
% 149.08/148.74 [4190]E(f326(f326(f81(a872),f326(f191(f873(x41901)),f326(f132(x41901,x41902),x41903))),f326(f191(f873(x41901)),f326(f132(x41901,f326(f326(f8(a866,a866,x41901),a321),x41902)),x41903))),f326(f191(f873(x41901)),x41903))
% 149.08/148.74 [4215]P103(f326(f326(f240(f880(x42151,a866)),f326(f326(f115(f880(x42151,a866)),f41(f880(x42151,a866),x42152)),f41(f880(x42151,a866),x42153))),f41(f880(x42151,a866),f326(f326(f106(f880(f880(x42151,a866),a866)),x42152),x42153))))
% 149.08/148.74 [4229]E(f326(f168(x42291),f326(f132(x42291,f326(f326(f8(a866,a866,x42291),a321),f326(f326(f7(x42291,x42291,a866),a323),x42292))),x42293)),f326(f326(f22(f880(x42291,a866)),f326(f168(x42291),x42293)),f326(f326(f304(x42291),x42292),f190(f880(x42291,a866)))))
% 149.08/148.74 [4238]P103(f326(f326(f240(f880(f879(x42381,x42381),a866)),f326(f326(f115(f880(f879(x42381,x42381),a866)),f302(x42381,x42382)),f302(x42381,x42383))),f302(x42381,f326(f326(f115(f880(f879(x42381,x42381),a866)),x42382),x42383))))
% 149.08/148.74 [4263]E(f326(f326(f82(a872),f326(a117,f326(a117,f2(a872)))),f326(f326(f6(a872,a872),f326(f326(f8(a872,a872,a872),f326(f81(a872),x42631)),f326(f326(f7(a872,a872,a872),f82(a872)),x42632))),f326(f247(a872),x42633))),f326(f326(f82(a872),x42633),f326(f326(f81(a872),x42631),f326(f326(f81(a872),x42631),f326(f326(f82(a872),f326(f326(f22(a872),x42633),f79(a872))),x42632)))))
% 149.08/148.74 [4273]E(f326(f246(x42731),f326(f326(f18(x42731,a866,a866),f326(f326(f8(a866,f880(a866,a866),x42731),a324),f326(f326(f7(x42731,f880(x42731,a866),a866),f328(x42731)),f326(f168(x42731),x42732)))),x42733)),f326(f168(x42731),f326(f132(x42731,x42733),x42732)))
% 149.08/148.74 [4420]E(f326(f246(x44201),f326(f326(f8(f880(a872,a866),a866,x44201),f88(a872)),f326(f326(f7(x44201,f880(a872,a866),f880(a872,a866)),f326(f326(f8(f880(a872,f880(a866,a866)),f880(f880(a872,a866),f880(a872,a866)),x44201),f18(a872,a866,a866)),f326(f326(f8(f880(a872,a866),f880(a872,f880(a866,a866)),x44201),f326(f8(a866,f880(a866,a866),a872),a324)),f326(f326(f7(x44201,f880(a872,x44201),f880(a872,a866)),f326(f326(f8(f880(x44201,a866),f880(f880(a872,x44201),f880(a872,a866)),x44201),f8(x44201,a866,a872)),a323)),f326(f161(x44201),x44202))))),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,a872,a866),f241(a872)),f326(f191(f873(x44201)),x44202)))),f326(f326(f7(a872,f880(a872,a866),a866),f328(a872)),x44203))))),f326(f168(x44201),f172(x44201,x44202,x44203)))
% 149.08/148.74 [4312]E(f326(f246(x43121),f326(f326(f18(x43121,a866,a866),f326(f326(f8(a866,f880(a866,a866),x43121),a329),f326(f326(f8(a866,a866,x43121),a321),f326(f326(f7(x43121,x43121,a866),a323),x43122)))),x43123)),f326(f326(f304(x43121),x43122),f326(f246(x43121),x43123)))
% 149.08/148.74 [4344]E(f326(f326(f150(f879(x43441,a872),x43441),f260(x43441,a872)),f326(f132(f879(x43441,a872),f326(f326(f7(f879(x43441,a872),f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),f879(x43441,a872)),f328(a872)),f264(x43441,a872))),x43442)),f326(f326(f178(x43441,a872),x43443),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(x43441)),x43443)))))),f172(x43441,x43443,x43442))
% 149.08/148.74 [4374]E(f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f6(a872,a1),f326(f326(f8(a1,a1,a872),f326(f81(a1),x43741)),f326(f326(f7(a872,a1,a1),f326(f326(f8(a1,f880(a1,a1),a872),f82(a1)),f105(a1))),x43742))),f326(f247(a872),x43743))),f326(f326(f82(a1),f326(f105(a1),x43743)),f326(f326(f81(a1),x43741),f326(f326(f81(a1),x43741),f326(f326(f82(a1),f326(f105(a1),f326(f326(f22(a872),x43743),f79(a872)))),x43742)))))
% 149.08/148.74 [4414]E(f326(f246(f879(x44141,x44142)),f326(f265(x44141,x44142,a866),f326(f326(f7(x44141,f880(f879(x44142,x44141),a866),f880(x44142,a866)),f326(f326(f8(f880(x44142,f880(f880(f879(x44142,x44141),a866),a866)),f880(f880(f879(x44142,x44141),a866),f880(x44142,a866)),x44141),f7(x44142,f880(f879(x44142,x44141),a866),a866)),f326(f326(f8(f880(x44142,f879(x44142,x44141)),f880(x44142,f880(f880(f879(x44142,x44141),a866),a866)),x44141),f326(f8(f879(x44142,x44141),f880(f880(f879(x44142,x44141),a866),a866),x44142),f328(f879(x44142,x44141)))),f326(f7(x44142,x44141,f879(x44142,x44141)),f261(x44142,x44141))))),x44143))),f326(f281(x44142,x44141),x44143))
% 149.08/148.74 [4436]E(f326(f246(f873(x44361)),f326(f326(f8(f880(x44361,a866),a866,f873(x44361)),f88(x44361)),f326(f326(f8(f880(x44361,f880(f873(x44361),a866)),f880(x44361,a866),f873(x44361)),f326(f8(f880(f873(x44361),a866),a866,x44361),f88(f873(x44361)))),f326(f326(f7(f873(x44361),f880(x44361,f880(f873(x44361),a866)),f880(x44361,f880(f873(x44361),a866))),f326(f326(f8(f880(x44361,f880(f880(f873(x44361),a866),f880(f873(x44361),a866))),f880(f880(x44361,f880(f873(x44361),a866)),f880(x44361,f880(f873(x44361),a866))),f873(x44361)),f18(x44361,f880(f873(x44361),a866),f880(f873(x44361),a866))),f326(f326(f8(f880(x44361,f880(f873(x44361),f880(a866,a866))),f880(x44361,f880(f880(f873(x44361),a866),f880(f873(x44361),a866))),f873(x44361)),f326(f8(f880(f873(x44361),f880(a866,a866)),f880(f880(f873(x44361),a866),f880(f873(x44361),a866)),x44361),f18(f873(x44361),a866,a866))),f326(f326(f8(f880(x44361,f880(f873(x44361),a866)),f880(x44361,f880(f873(x44361),f880(a866,a866))),f873(x44361)),f326(f8(f880(f873(x44361),a866),f880(f873(x44361),f880(a866,a866)),x44361),f326(f8(a866,f880(a866,a866),f873(x44361)),a324))),f326(f326(f7(f873(x44361),f880(x44361,f880(f873(x44361),f873(x44361))),f880(x44361,f880(f873(x44361),a866))),f326(f326(f8(f880(f880(f873(x44361),f873(x44361)),f880(f873(x44361),a866)),f880(f880(x44361,f880(f873(x44361),f873(x44361))),f880(x44361,f880(f873(x44361),a866))),f873(x44361)),f8(f880(f873(x44361),f873(x44361)),f880(f873(x44361),a866),x44361)),f326(f326(f8(f880(f873(x44361),a866),f880(f880(f873(x44361),f873(x44361)),f880(f873(x44361),a866)),f873(x44361)),f8(f873(x44361),a866,f873(x44361))),a323))),f147(x44361)))))),f326(f326(f7(x44361,f880(f873(x44361),a866),f880(f873(x44361),a866)),f326(f326(f8(f880(a866,a866),f880(f880(f873(x44361),a866),f880(f873(x44361),a866)),x44361),f8(a866,a866,f873(x44361))),f326(f326(f8(a866,f880(a866,a866),x44361),a324),f326(f326(f7(x44361,f880(x44361,a866),a866),f328(x44361)),x44362)))),f326(f326(f7(f873(x44361),f880(f873(x44361),a866),a866),f328(f873(x44361))),x44363)))))),f170(x44361,x44362,x44363))
% 149.08/148.74 [4433]E(f326(f326(f87(a1,f879(a1,a1)),f326(f326(f22(a1),x44331),x44332)),f326(f326(f7(a1,f879(a1,a1),f879(a1,a1)),f326(f326(f18(a1,f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),f326(f326(f8(a866,f880(f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),a1),f101(f879(a1,a1))),f326(f240(a1),f2(a1)))),f326(f261(a1,a1),f326(f326(f81(a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x44333)),f79(a1))))),f326(f326(f261(a1,a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x44333)),x44331))),f326(f44(x44332),f326(f326(f261(a1,a1),x44333),x44331)))
% 149.08/148.74 [4464]~E(f33(x44641,x44642),f34(x44643,x44644))
% 149.08/148.74 [4484]~E(f326(a26,x44841),f29(x44842,x44843,x44844))
% 149.08/148.74 [4485]~E(f326(a26,x44851),f31(x44852,x44853,x44854))
% 149.08/148.74 [4486]~E(f326(a26,x44861),f30(x44862,x44863,x44864))
% 149.08/148.74 [4487]~E(f29(x44871,x44872,x44873),f326(a26,x44874))
% 149.08/148.74 [4488]~E(f31(x44881,x44882,x44883),f326(a26,x44884))
% 149.08/148.74 [4489]~E(f30(x44891,x44892,x44893),f326(a26,x44894))
% 149.08/148.74 [3462]E(f326(f326(f326(f73(x34621,x34622),x34623),x34624),f326(x34623,x34624)),x34623)
% 149.08/148.74 [3521]E(f326(f326(f252(x35211,x35212,x35213),x35214),f2(a872)),x35212)
% 149.08/148.74 [3560]E(f187(x35601,x35602,x35603,f326(a117,x35604)),f326(x35603,x35604))
% 149.08/148.74 [3599]E(f166(x35991,x35992,f166(x35991,x35993,x35994)),f166(x35991,x35993,f166(x35991,x35992,x35994)))
% 149.08/148.74 [3733]E(f326(f235(x37331,x37332,x37333,x37334),f193(x37332)),x37333)
% 149.08/148.74 [3735]E(f326(f152(x37351,x37352,x37353,x37354),f118(x37352)),x37353)
% 149.08/148.74 [3736]E(f326(f138(x37361,x37362,x37363,x37364),f118(x37362)),x37364)
% 149.08/148.74 [3850]E(f326(f235(f876(x38501),x38502,f193(x38501),f326(f16(f876(x38501),x38502),f193(x38501))),f326(x38503,x38504)),f193(x38501))
% 149.08/148.74 [3894]E(f326(f326(f115(f880(x38941,a866)),f180(x38941,x38942,x38943)),f180(x38941,x38942,x38944)),f180(x38941,x38942,f181(x38941,x38942,x38944,x38943)))
% 149.08/148.74 [3926]E(f326(f326(f267(x39261,x39262,x39263,f879(x39262,x39263)),x39264),f261(x39262,x39263)),x39264)
% 149.08/148.74 [3935]E(f236(x39351,x39352,x39353,x39354,f193(x39352)),x39353)
% 149.08/148.74 [3936]E(f183(x39361,x39362,x39363,x39364,f118(x39362)),x39363)
% 149.08/148.74 [3937]E(f183(x39371,x39372,x39373,f118(x39371),x39374),x39373)
% 149.08/148.74 [4222]P41(x42221,x42222,x42223,x42224,f190(f880(x42221,a866)),x42224)
% 149.08/148.74 [3263]E(f326(f326(f16(x32631,x32632),x32633),x32634),x32633)
% 149.08/148.74 [3380]E(f326(f326(f204(x33801,x33802),x33803),f326(f233(x33801),x33804)),f326(f233(x33802),f326(x33803,x33804)))
% 149.08/148.74 [3551]E(f166(x35511,x35512,f326(f132(x35511,x35513),x35514)),f326(f132(x35511,x35513),f166(x35511,x35512,x35514)))
% 149.08/148.74 [3583]E(f326(f326(f65(x35831,x35832,x35833),x35834),f190(f880(x35831,a866))),x35834)
% 149.08/148.74 [3605]E(f326(f326(f161(x36051),f326(f326(f147(x36051),x36052),x36053)),f326(a117,x36054)),f326(f326(f161(x36051),x36053),x36054))
% 149.08/148.74 [3649]P29(x36491,f2(a872),f326(f326(f326(f93(x36491),x36492),f326(a26,x36493)),x36494))
% 149.08/148.74 [3674]E(f326(f326(x36741,x36742),f326(f186(x36743,x36744,x36741),x36742)),f326(f186(x36743,x36744,x36741),f326(a117,x36742)))
% 149.08/148.74 [3769]E(f326(f326(f155(x37691,f326(f326(f147(x37691),x37692),x37693)),f2(a872)),x37694),f326(f326(f147(x37691),x37694),x37693))
% 149.08/148.74 [3780]E(f326(f326(f42(f880(x37801,a866),f880(x37802,a866)),x37803),f305(x37801,x37802,x37804)),f326(f305(x37801,x37802,x37804),f40(f880(x37801,a866),x37803)))
% 149.08/148.74 [3781]E(f326(f326(f42(f880(x37811,a866),f880(x37812,a866)),x37813),f306(x37812,x37811,x37814)),f326(f306(x37812,x37811,x37814),f40(f880(x37811,a866),x37813)))
% 149.08/148.74 [3877]E(f180(x38771,x38772,f184(x38771,x38772,x38773,x38774)),f326(f326(f106(f880(x38771,a866)),f180(x38771,x38772,x38773)),x38774))
% 149.08/148.74 [3881]E(f326(f130(x38811,x38812),f127(x38811,x38813,x38814)),f326(f326(f81(a872),f326(f326(f81(a872),f326(x38812,x38813)),f326(f130(x38811,x38812),x38814))),f326(a117,f2(a872))))
% 149.08/148.74 [3900]E(f326(f138(x39001,x39002,f326(f7(x39002,x39001,x39001),x39003),x39004),f326(f165(x39002),f118(x39002))),x39004)
% 149.08/148.74 [3947]E(f77(x39471,x39472,x39473,x39474,f190(f880(x39471,a866))),x39473)
% 149.08/148.74 [3994]E(f326(f326(f326(f326(f73(x39941,f876(x39942)),f326(f16(f876(x39942),x39941),f193(x39942))),x39943),f193(x39942)),x39944),f193(x39942))
% 149.08/148.74 [4149]E(f326(f265(x41491,x41492,x41493),f326(f326(f8(f880(x41492,f879(x41491,x41492)),f880(x41492,x41493),x41491),f326(f8(f879(x41491,x41492),x41493,x41492),x41494)),f261(x41491,x41492))),x41494)
% 149.08/148.74 [3460]E(f326(f264(x34601,x34602),f326(f326(f261(x34601,x34602),x34603),x34604)),x34604)
% 149.08/148.74 [3461]E(f326(f260(x34611,x34612),f326(f326(f261(x34611,x34612),x34613),x34614)),x34613)
% 149.08/148.74 [3494]E(f326(f191(f873(x34941)),f326(f326(f150(x34942,x34941),x34943),x34944)),f326(f191(f873(x34942)),x34944))
% 149.08/148.74 [3495]E(f326(f191(f873(x34951)),f326(f326(f155(x34951,x34952),x34953),x34954)),f326(f191(f873(x34951)),x34952))
% 149.08/148.74 [3515]E(f326(f326(f134(x35151),f326(a117,x35152)),f326(f326(f147(x35151),x35153),x35154)),f326(f326(f134(x35151),x35152),x35154))
% 149.08/148.74 [3585]E(f326(f326(f304(x35851),x35852),f326(f326(f304(x35851),x35853),x35854)),f326(f326(f304(x35851),x35853),f326(f326(f304(x35851),x35852),x35854)))
% 149.08/148.74 [3588]E(f326(f326(f150(x35881,x35882),x35883),f119(x35881,x35884)),f119(x35882,f326(f326(f150(x35881,x35882),x35883),x35884)))
% 149.08/148.74 [3603]E(f326(f165(x36031),f326(f326(f150(x36032,x36031),x36033),x36034)),f326(f326(f150(x36032,x36031),x36033),f326(f165(x36032),x36034)))
% 149.08/148.74 [3604]E(f326(f326(f150(x36041,x36042),x36043),f326(f167(x36041),x36044)),f326(f167(x36042),f326(f326(f150(x36041,x36042),x36043),x36044)))
% 149.08/148.74 [3617]E(f326(f326(f171(x36171),f326(a117,x36172)),f326(f326(f147(x36171),x36173),x36174)),f326(f326(f147(x36171),x36173),f326(f326(f171(x36171),x36172),x36174)))
% 149.08/148.74 [3621]E(f326(f168(x36211),f326(f326(f150(x36212,x36211),x36213),x36214)),f326(f305(x36212,x36211,x36213),f326(f168(x36212),x36214)))
% 149.08/148.74 [3673]E(f17(x36731,x36732,x36733,f326(a3,f326(a117,f326(a19,x36734)))),f326(x36733,x36734))
% 149.08/148.74 [3676]E(f326(f326(f126(x36761),f326(f132(x36761,x36762),x36763)),f326(f132(x36761,x36762),x36764)),f326(f132(x36761,x36762),f326(f326(f126(x36761),x36763),x36764)))
% 149.08/148.74 [3689]E(f148(x36891,f326(f326(f150(x36892,x36891),x36893),f148(x36892,x36894))),f148(x36891,f326(f326(f150(x36892,x36891),x36893),x36894)))
% 149.08/148.74 [3705]E(f326(f281(x37051,x37051),f326(f326(f282(x37052,x37051),x37053),x37054)),f326(f326(f282(x37052,x37051),f326(f281(x37052,x37052),x37053)),x37054))
% 149.08/148.74 [3715]E(f326(f326(f283(x37151,x37152,x37153),x37154),f190(f880(f879(x37152,x37153),a866))),f190(f880(f879(x37151,x37153),a866)))
% 149.08/148.74 [3716]E(f326(f326(f171(x37161),f326(f326(f22(a872),x37162),x37163)),f326(f326(f134(x37161),x37163),x37164)),f326(f326(f134(x37161),x37163),f326(f326(f171(x37161),x37162),x37164)))
% 149.08/148.74 [3761]E(f40(f880(x37611,a866),f326(f305(x37612,f880(x37611,a866),x37613),x37614)),f326(f326(f42(x37612,f880(x37611,a866)),x37614),x37613))
% 149.08/148.74 [3762]E(f41(f880(x37621,a866),f326(f305(x37622,f880(x37621,a866),x37623),x37624)),f326(f326(f43(x37622,f880(x37621,a866)),x37624),x37623))
% 149.08/148.74 [3763]E(f326(f191(f873(f879(x37631,x37632))),f326(f326(f178(x37631,x37632),x37633),x37634)),f326(f326(f238(a872),f326(f191(f873(x37631)),x37633)),f326(f191(f873(x37632)),x37634)))
% 149.08/148.74 [3765]E(f326(f306(x37651,x37652,x37653),f326(f80(f880(x37652,a866)),x37654)),f326(f80(f880(x37651,a866)),f326(f306(x37651,x37652,x37653),x37654)))
% 149.08/148.74 [3795]E(f326(f184(x37951,x37952,x37953,f190(f880(x37951,a866))),x37954),f193(x37952))
% 149.08/148.74 [3816]E(f326(f306(x38161,x38162,x38163),f326(f246(x38162),x38164)),f326(f246(x38161),f326(f326(f8(x38162,a866,x38161),x38164),x38163)))
% 149.08/148.74 [3833]E(f326(f326(f161(x38331),f326(f326(f126(x38331),x38332),f326(f326(f147(x38331),x38333),x38334))),f326(f191(f873(x38331)),x38332)),x38333)
% 149.08/148.74 [3838]E(f326(f184(x38381,x38382,f326(f16(f876(x38382),x38381),f193(x38382)),x38383),x38384),f193(x38382))
% 149.08/148.74 [3858]E(f326(f305(x38581,x38582,x38583),f326(f306(x38581,x38582,x38583),x38584)),f326(f326(f106(f880(x38582,a866)),x38584),f326(f305(x38581,x38582,x38583),f249(f880(x38581,a866)))))
% 149.08/148.74 [3876]P103(f326(f326(f328(x38761),f326(x38762,x38763)),f326(f305(x38764,x38761,x38762),f249(f880(x38764,a866)))))
% 149.08/148.74 [3889]E(f326(f326(f263(x38891,x38892),f326(f168(x38891),x38893)),f326(f16(f880(x38892,a866),x38891),f326(f168(x38892),x38894))),f326(f168(f879(x38891,x38892)),f60(x38891,x38892,x38893,x38894)))
% 149.08/148.74 [3903]E(f151(x39031,x39032,f326(f326(f147(x39031),x39033),x39034)),f326(f326(f81(a872),f326(f326(f81(a872),f326(x39032,x39033)),f151(x39031,x39032,x39034))),f326(a117,f2(a872))))
% 149.08/148.74 [3917]E(f187(f873(x39171),f326(f326(f147(x39171),x39172),x39173),f326(f326(f7(a872,f873(x39171),f873(x39171)),f134(x39171)),x39173),x39174),f326(f326(f134(x39171),x39174),f326(f326(f147(x39171),x39172),x39173)))
% 149.08/148.74 [3918]P21(x39181,f879(x39182,x39181),f330(x39183,x39184,x39182,x39181),f326(f326(f42(x39182,f880(x39181,a866)),x39184),x39183))
% 149.08/148.74 [3927]E(f326(f326(f22(f880(x39271,a866)),f326(f326(f22(f880(x39271,a866)),x39272),x39273)),f326(f326(f304(x39271),x39274),f190(f880(x39271,a866)))),f326(f326(f22(f880(x39271,a866)),x39272),f326(f326(f304(x39271),x39274),x39273)))
% 149.08/148.74 [3938]E(f326(f326(f185(f880(x39381,x39382),f880(x39381,x39382)),x39383),f74(x39382,x39382,x39381,x39384)),f74(x39382,x39382,x39381,f326(f326(f185(x39382,x39382),x39383),x39384)))
% 149.08/148.74 [4017]E(f326(f326(f326(f185(f873(x40171),f873(x40171)),x40172),f164(x40171)),f326(f326(f326(f185(f873(x40171),f873(x40171)),x40173),f164(x40171)),x40174)),f326(f326(f326(f185(f873(x40171),f873(x40171)),f326(f326(f81(a872),x40172),x40173)),f164(x40171)),x40174))
% 149.08/148.74 [4103]P103(f326(f326(f240(f880(x41031,a866)),f326(f168(x41031),f326(f326(f155(x41031,x41032),x41033),x41034))),f326(f326(f304(x41031),x41034),f326(f168(x41031),x41032))))
% 149.08/148.74 [4139]E(f326(f326(f42(f880(x41391,a866),f880(f879(x41391,x41392),a866)),x41393),f326(f326(f7(f880(x41391,a866),f880(x41391,f880(x41392,a866)),f880(f879(x41391,x41392),a866)),f263(x41391,x41392)),x41394)),f326(f326(f263(x41391,x41392),f40(f880(x41391,a866),x41393)),x41394))
% 149.08/148.74 [4176]E(f214(x41761,x41762,x41763,f326(f74(x41762,f880(a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(x41762))))),x41761,f213(x41762)),x41764)),f215(x41761,x41762,x41764,x41763))
% 149.08/148.74 [4193]E(f210(x41931,x41932,x41933,f326(f74(x41932,f880(a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(f876(x41932)))))),x41931,f207(x41932)),x41934)),f211(x41931,x41932,x41934,x41933))
% 149.08/148.74 [4198]P103(f326(f67(x41981,x41982,x41983,x41984,f190(f880(x41981,a866))),x41984))
% 149.08/148.74 [4240]E(f326(f326(f42(x42401,f880(x42402,a866)),x42403),f326(f326(f7(x42401,f880(x42402,a866),f880(x42402,a866)),f326(f326(f8(x42402,f880(f880(x42402,a866),f880(x42402,a866)),x42401),f304(x42402)),x42404)),f190(f880(x42402,a866)))),f326(f305(x42401,x42402,x42404),x42403))
% 149.08/148.74 [4247]P103(f326(f326(f240(f880(x42471,a866)),f326(f257(x42472,x42471),f326(f326(f106(f880(f879(x42472,x42471),a866)),x42473),x42474))),f326(f326(f106(f880(x42471,a866)),f326(f257(x42472,x42471),x42473)),f326(f257(x42472,x42471),x42474))))
% 149.08/148.74 [4248]P103(f326(f326(f240(f880(x42481,a866)),f326(f259(x42481,x42482),f326(f326(f106(f880(f879(x42481,x42482),a866)),x42483),x42484))),f326(f326(f106(f880(x42481,a866)),f326(f259(x42481,x42482),x42483)),f326(f259(x42481,x42482),x42484))))
% 149.08/148.74 [4310]P103(f326(f326(f240(f880(f879(x43101,x43102),a866)),f326(f305(x43102,f879(x43101,x43102),f330(x43103,x43104,x43101,x43102)),f326(f326(f42(x43101,f880(x43102,a866)),x43104),x43103))),f326(f326(f263(x43101,x43102),x43104),x43103)))
% 149.08/148.74 [4350]E(f86(f879(x43501,x43502),f326(f265(x43501,x43502,a866),f326(f326(f7(x43501,f880(x43502,a866),f880(x43502,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x43502,a866),f880(x43502,a866)),x43501),f8(a866,a866,x43502)),f326(f326(f8(a866,f880(a866,a866),x43501),a324),f326(a323,x43503)))),f326(a323,x43504)))),f326(f326(f261(x43501,x43502),x43503),x43504))
% 149.08/148.74 [4351]E(f91(f879(x43511,x43512),f326(f265(x43511,x43512,a866),f326(f326(f7(x43511,f880(x43512,a866),f880(x43512,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x43512,a866),f880(x43512,a866)),x43511),f8(a866,a866,x43512)),f326(f326(f8(a866,f880(a866,a866),x43511),a324),f326(a323,x43513)))),f326(a323,x43514)))),f326(f326(f261(x43511,x43512),x43513),x43514))
% 149.08/148.74 [4422]E(f326(f326(f265(f873(x44221),f873(x44221),f879(f873(x44221),f873(x44221))),f326(f326(f18(f873(x44221),f880(f873(x44221),f879(f873(x44221),f873(x44221))),f880(f873(x44221),f879(f873(x44221),f873(x44221)))),f326(f326(f8(f880(f873(x44221),f880(f879(f873(x44221),f873(x44221)),f879(f873(x44221),f873(x44221)))),f880(f880(f873(x44221),f879(f873(x44221),f873(x44221))),f880(f873(x44221),f879(f873(x44221),f873(x44221)))),f873(x44221)),f18(f873(x44221),f879(f873(x44221),f873(x44221)),f879(f873(x44221),f873(x44221)))),f326(f326(f8(f880(f873(x44221),f879(f873(x44221),f873(x44221))),f880(f873(x44221),f880(f879(f873(x44221),f873(x44221)),f879(f873(x44221),f873(x44221)))),f873(x44221)),f326(f8(f879(f873(x44221),f873(x44221)),f880(f879(f873(x44221),f873(x44221)),f879(f873(x44221),f873(x44221))),f873(x44221)),f326(f101(f879(f873(x44221),f873(x44221))),f326(x44222,x44223)))),f326(f326(f8(f873(x44221),f880(f873(x44221),f879(f873(x44221),f873(x44221))),f873(x44221)),f261(f873(x44221),f873(x44221))),f326(f147(x44221),x44223))))),f326(f326(f7(f873(x44221),f880(f873(x44221),f873(x44221)),f880(f873(x44221),f879(f873(x44221),f873(x44221)))),f326(f326(f8(f880(f873(x44221),f879(f873(x44221),f873(x44221))),f880(f880(f873(x44221),f873(x44221)),f880(f873(x44221),f879(f873(x44221),f873(x44221)))),f873(x44221)),f8(f873(x44221),f879(f873(x44221),f873(x44221)),f873(x44221))),f261(f873(x44221),f873(x44221)))),f326(f147(x44221),x44223)))),f163(x44221,x44222,x44224)),f163(x44221,x44222,f326(f326(f147(x44221),x44223),x44224)))
% 149.08/148.74 [4428]E(f326(f138(f880(x44281,f876(x44282)),f879(x44281,x44282),f326(f7(f879(x44281,x44282),f880(x44281,f876(x44282)),f880(x44281,f876(x44282))),f326(f265(x44281,x44282,f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282)))),f326(f326(f7(x44281,f880(x44282,f876(x44282)),f880(x44282,f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282))))),f326(f326(f8(f880(f876(x44282),f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282)))),f880(f880(x44282,f876(x44282)),f880(x44282,f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282))))),x44281),f8(f876(x44282),f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282))),x44282)),f326(f326(f8(f880(f880(x44281,f876(x44282)),f880(f876(x44282),f880(x44281,f876(x44282)))),f880(f876(x44282),f880(f880(x44281,f876(x44282)),f880(x44281,f876(x44282)))),x44281),f7(f880(x44281,f876(x44282)),f876(x44282),f880(x44281,f876(x44282)))),f326(f7(f880(x44281,f876(x44282)),x44281,f880(f876(x44282),f880(x44281,f876(x44282)))),f73(x44281,f876(x44282)))))),f233(x44282)))),x44283),f326(f165(f879(x44281,x44282)),x44284)),f181(x44281,x44282,x44283,f326(f174(x44281,x44282),x44284)))
% 149.08/148.74 [3534]E(f326(f191(f871(x35341)),f326(f326(f326(f93(x35341),x35342),x35343),x35344)),f2(a872))
% 149.08/148.74 [3652]E(f326(f326(f171(x36521),x36522),f326(f326(f171(x36521),x36523),x36524)),f326(f326(f171(x36521),f326(f326(f238(a872),x36522),x36523)),x36524))
% 149.08/148.74 [3653]E(f326(f326(f134(x36531),x36532),f326(f326(f134(x36531),x36533),x36534)),f326(f326(f134(x36531),f326(f326(f81(a872),x36532),x36533)),x36534))
% 149.08/148.74 [3665]E(f326(f326(f126(x36651),f326(f326(f147(x36651),x36652),x36653)),x36654),f326(f326(f147(x36651),x36652),f326(f326(f126(x36651),x36653),x36654)))
% 149.08/148.74 [3666]E(f326(f326(f126(x36661),f326(f326(f126(x36661),x36662),x36663)),x36664),f326(f326(f126(x36661),x36662),f326(f326(f126(x36661),x36663),x36664)))
% 149.08/148.74 [3745]E(f326(f326(f161(x37451),f326(f326(f147(x37451),x37452),x37453)),x37454),f187(x37451,x37452,f326(f161(x37451),x37453),x37454))
% 149.08/148.74 [3754]E(f326(f326(f185(x37541,x37541),x37542),f326(f326(f185(x37541,x37541),x37543),x37544)),f326(f326(f185(x37541,x37541),f326(f326(f82(a872),x37543),x37542)),x37544))
% 149.08/148.74 [3783]E(f326(f326(f115(f880(x37831,a866)),x37832),f326(f326(f304(x37831),x37833),x37834)),f326(f326(f304(x37831),x37833),f326(f326(f115(f880(x37831,a866)),x37832),x37834)))
% 149.08/148.74 [3798]E(f326(f326(f326(f185(x37981,x37981),x37982),x37983),f326(x37983,x37984)),f326(x37983,f326(f326(f326(f185(x37981,x37981),x37982),x37983),x37984)))
% 149.08/148.74 [3806]E(f326(f326(f283(x38061,x38062,x38063),f190(f880(f879(x38061,x38062),a866))),x38064),f190(f880(f879(x38061,x38063),a866)))
% 149.08/148.74 [3822]E(f326(f326(f115(f880(x38221,a866)),f326(f326(f304(x38221),x38222),x38223)),x38224),f326(f326(f304(x38221),x38222),f326(f326(f115(f880(x38221,a866)),x38223),x38224)))
% 149.08/148.74 [3840]E(f181(x38401,x38402,f326(f174(x38401,x38402),x38403),f326(f174(x38401,x38402),x38404)),f326(f174(x38401,x38402),f326(f326(f126(f879(x38401,x38402)),x38404),x38403)))
% 149.08/148.74 [3841]E(f326(f38(f879(x38411,x38412)),f326(f326(f263(x38411,x38412),x38413),f326(f16(f880(x38412,a866),x38411),x38414))),f326(f326(f82(a872),f326(f38(x38411),x38413)),f326(f38(x38412),x38414)))
% 149.08/148.74 [3847]E(f326(f326(f106(f880(x38471,a866)),f326(f326(f304(x38471),x38472),x38473)),f326(f326(f304(x38471),x38472),x38474)),f326(f326(f304(x38471),x38472),f326(f326(f106(f880(x38471,a866)),x38473),x38474)))
% 149.08/148.74 [3862]E(f326(f326(f115(f880(x38621,a866)),x38622),f326(f326(f115(f880(x38621,a866)),x38623),x38624)),f326(f326(f115(f880(x38621,a866)),x38623),f326(f326(f115(f880(x38621,a866)),x38622),x38624)))
% 149.08/148.74 [3863]E(f326(f326(f106(f880(x38631,a866)),x38632),f326(f326(f106(f880(x38631,a866)),x38633),x38634)),f326(f326(f106(f880(x38631,a866)),x38633),f326(f326(f106(f880(x38631,a866)),x38632),x38634)))
% 149.08/148.74 [3872]E(f65(x38721,x38722,f326(f326(f8(x38722,f880(x38722,x38722),x38721),x38723),x38724)),f326(f66(x38722,x38721,x38723),x38724))
% 149.08/148.74 [3882]E(f176(x38821,f326(f326(f150(f873(x38822),f873(x38821)),f326(f150(x38822,x38821),x38823)),x38824)),f326(f326(f150(f873(x38822),f873(x38821)),f326(f150(x38822,x38821),x38823)),f176(x38822,x38824)))
% 149.08/148.74 [3899]E(f326(f138(f873(x38991),f873(x38991),f126(x38991),f118(x38991)),f326(f326(f150(x38992,f873(x38991)),x38993),x38994)),f160(x38992,x38991,x38993,x38994))
% 149.08/148.74 [3902]E(f184(x39021,x39022,x39023,f326(f80(f880(x39021,a866)),f326(f326(f304(x39021),x39024),f190(f880(x39021,a866))))),f326(f326(f326(f73(x39021,f876(x39022)),x39023),x39024),f193(x39022)))
% 149.08/148.74 [3943]E(f326(f326(f326(f73(x39431,f876(x39432)),f326(f174(x39431,x39432),x39433)),f326(f260(x39431,x39432),x39434)),f326(f233(x39432),f326(f264(x39431,x39432),x39434))),f326(f174(x39431,x39432),f326(f326(f147(f879(x39431,x39432)),x39434),x39433)))
% 149.08/148.74 [3961]E(f326(f74(x39611,x39611,x39611,f326(f326(f185(x39611,x39611),x39612),x39613)),f326(f326(f185(x39611,x39611),x39614),x39613)),f326(f326(f185(x39611,x39611),f326(f326(f81(a872),x39612),x39614)),x39613))
% 149.08/148.74 [3986]E(f326(f326(f106(f880(x39861,a866)),f326(f326(f115(f880(x39861,a866)),x39862),x39863)),f326(f326(f115(f880(x39861,a866)),x39862),x39864)),f326(f326(f115(f880(x39861,a866)),x39862),f326(f326(f106(f880(x39861,a866)),x39863),x39864)))
% 149.08/148.74 [3987]E(f326(f326(f106(f880(x39871,a866)),f326(f326(f22(f880(x39871,a866)),x39872),x39873)),f326(f326(f22(f880(x39871,a866)),x39872),x39874)),f326(f326(f22(f880(x39871,a866)),x39872),f326(f326(f115(f880(x39871,a866)),x39873),x39874)))
% 149.08/148.74 [3988]E(f326(f326(f115(f880(x39881,a866)),f326(f326(f22(f880(x39881,a866)),x39882),x39883)),f326(f326(f22(f880(x39881,a866)),x39882),x39884)),f326(f326(f22(f880(x39881,a866)),x39882),f326(f326(f106(f880(x39881,a866)),x39883),x39884)))
% 149.08/148.74 [3989]E(f326(f326(f115(f880(x39891,a866)),f326(f326(f106(f880(x39891,a866)),x39892),x39893)),f326(f326(f106(f880(x39891,a866)),x39892),x39894)),f326(f326(f106(f880(x39891,a866)),x39892),f326(f326(f115(f880(x39891,a866)),x39893),x39894)))
% 149.08/148.74 [3990]E(f326(f326(f22(f880(x39901,a866)),f326(f326(f106(f880(x39901,a866)),x39902),x39903)),f326(f326(f106(f880(x39901,a866)),x39902),x39904)),f326(f326(f106(f880(x39901,a866)),x39902),f326(f326(f22(f880(x39901,a866)),x39903),x39904)))
% 149.08/148.74 [3996]E(f326(f38(f879(x39961,x39962)),f326(f326(f263(x39961,x39962),f326(f326(f304(x39961),x39963),f190(f880(x39961,a866)))),f326(f16(f880(x39962,a866),x39961),x39964))),f326(f38(x39962),x39964))
% 149.08/148.74 [4032]E(f326(f326(f43(x40321,f880(x40322,a866)),x40323),f326(f326(f8(f880(x40322,a866),f880(x40322,a866),x40321),f80(f880(x40322,a866))),x40324)),f326(f80(f880(x40322,a866)),f326(f326(f42(x40321,f880(x40322,a866)),x40323),x40324)))
% 149.08/148.74 [4033]E(f326(f326(f42(x40331,f880(x40332,a866)),x40333),f326(f326(f8(f880(x40332,a866),f880(x40332,a866),x40331),f80(f880(x40332,a866))),x40334)),f326(f80(f880(x40332,a866)),f326(f326(f43(x40331,f880(x40332,a866)),x40333),x40334)))
% 149.08/148.74 [4047]E(f326(f326(f283(x40471,x40471,x40471),f326(f326(f185(f879(x40471,x40471),a866),x40472),x40473)),f326(f326(f185(f879(x40471,x40471),a866),x40474),x40473)),f326(f326(f185(f879(x40471,x40471),a866),f326(f326(f81(a872),x40472),x40474)),x40473))
% 149.08/148.74 [4078]E(f326(f326(f43(x40781,f880(f880(x40782,a866),a866)),x40783),f326(f326(f8(f880(x40782,a866),f880(f880(x40782,a866),a866),x40781),f303(x40782)),x40784)),f326(f303(x40782),f326(f326(f43(x40781,f880(x40782,a866)),x40783),x40784)))
% 149.08/148.74 [4107]E(f326(f326(f42(f880(x41071,a866),f880(x41072,a866)),x41073),f326(f326(f7(f880(x41071,a866),f880(x41071,f880(x41072,a866)),f880(x41072,a866)),f42(x41071,f880(x41072,a866))),x41074)),f326(f326(f42(x41071,f880(x41072,a866)),f40(f880(x41071,a866),x41073)),x41074))
% 149.08/148.74 [4108]E(f326(f326(f43(f880(x41081,a866),f880(x41082,a866)),x41083),f326(f326(f7(f880(x41081,a866),f880(x41081,f880(x41082,a866)),f880(x41082,a866)),f43(x41081,f880(x41082,a866))),x41084)),f326(f326(f43(x41081,f880(x41082,a866)),f40(f880(x41081,a866),x41083)),x41084))
% 149.08/148.74 [4113]E(f326(f326(f150(x41131,x41132),x41133),f326(f138(f873(x41131),f873(x41131),f126(x41131),f118(x41131)),x41134)),f326(f138(f873(x41132),f873(x41132),f126(x41132),f118(x41132)),f326(f326(f150(f873(x41131),f873(x41132)),f326(f150(x41131,x41132),x41133)),x41134)))
% 149.08/148.74 [4117]E(f187(f873(x41171),f118(x41171),f326(f326(f8(f873(x41171),f873(x41171),a872),f326(f147(x41171),x41172)),f326(f326(f7(a872,f873(x41171),f873(x41171)),f171(x41171)),x41173)),x41174),f326(f326(f171(x41171),x41174),f326(f326(f147(x41171),x41172),x41173)))
% 149.08/148.74 [4159]P103(f326(f326(f240(f880(x41591,a866)),f326(f305(x41592,x41591,x41593),f326(f306(x41592,x41591,x41593),x41594))),x41594))
% 149.08/148.74 [4162]E(f326(f305(f879(x41621,x41622),f879(x41622,x41621),f326(f265(x41621,x41622,f879(x41622,x41621)),f326(f7(x41622,x41621,f879(x41622,x41621)),f261(x41622,x41621)))),f326(f326(f263(x41621,x41622),x41623),f326(f16(f880(x41622,a866),x41621),x41624))),f326(f326(f263(x41622,x41621),x41624),f326(f16(f880(x41621,a866),x41622),x41623)))
% 149.08/148.74 [4171]E(f326(f326(f42(x41711,f880(x41712,a866)),x41713),f326(f326(f8(f880(x41711,a866),f880(x41712,a866),x41711),f280(x41711,x41712,x41714)),f326(f326(f7(x41711,f880(x41711,a866),f880(x41711,a866)),f304(x41711)),f190(f880(x41711,a866))))),f326(f280(x41711,x41712,x41714),x41713))
% 149.08/148.74 [4172]E(f326(f326(f42(x41721,f880(x41722,a866)),x41723),f326(f326(f8(f880(x41721,a866),f880(x41722,a866),x41721),f306(x41722,x41721,x41724)),f326(f326(f7(x41721,f880(x41721,a866),f880(x41721,a866)),f304(x41721)),f190(f880(x41721,a866))))),f326(f306(x41722,x41721,x41724),x41723))
% 149.08/148.74 [4262]E(f326(f326(f115(f880(x42621,a866)),f326(f326(f115(f880(x42621,a866)),f326(f326(f106(f880(x42621,a866)),x42622),x42623)),f326(f326(f106(f880(x42621,a866)),x42623),x42624))),f326(f326(f106(f880(x42621,a866)),x42624),x42622)),f326(f326(f106(f880(x42621,a866)),f326(f326(f106(f880(x42621,a866)),f326(f326(f115(f880(x42621,a866)),x42622),x42623)),f326(f326(f115(f880(x42621,a866)),x42623),x42624))),f326(f326(f115(f880(x42621,a866)),x42624),x42622)))
% 149.08/148.74 [4323]E(f326(f138(f873(x43231),f873(x43231),f126(x43231),f118(x43231)),f326(f326(f150(x43232,f873(x43231)),f326(f326(f7(x43232,f873(x43231),f873(x43231)),f326(f326(f8(x43231,f880(f873(x43231),f873(x43231)),x43232),f147(x43231)),x43233)),f118(x43231))),x43234)),f326(f326(f150(x43232,x43231),x43233),x43234))
% 149.08/148.74 [4334]E(f326(f326(f87(a1,x43341),f326(f108(a1),f326(f326(f81(a1),x43342),a102))),f326(f326(f18(a1,x43341,x43341),f326(f326(f7(a1,x43341,f880(x43341,x43341)),f326(f326(f8(a866,f880(x43341,f880(x43341,x43341)),a1),f101(x43341)),a196)),x43343)),f326(f326(f8(a872,x43341,a1),x43344),a109))),f187(x43341,x43343,x43344,f326(f108(a872),x43342)))
% 149.08/148.74 [4549]~P103(f326(f326(f190(f880(x45491,f880(x45492,a866))),x45493),x45494))
% 149.08/148.74 [3809]E(f326(f326(f161(x38091),f326(f326(f126(x38091),x38092),x38093)),f326(f326(f81(a872),f326(f191(f873(x38091)),x38092)),x38094)),f326(f326(f161(x38091),x38093),x38094))
% 149.08/148.74 [3815]E(f326(f326(f134(x38151),x38152),f326(f326(f171(x38151),f326(f326(f81(a872),x38153),x38152)),x38154)),f326(f326(f171(x38151),x38153),f326(f326(f134(x38151),x38152),x38154)))
% 149.08/148.74 [3915]E(f326(f326(f115(f880(x39151,a866)),f326(f257(x39152,x39151),x39153)),f326(f257(x39152,x39151),x39154)),f326(f257(x39152,x39151),f326(f326(f115(f880(f879(x39152,x39151),a866)),x39153),x39154)))
% 149.08/148.74 [3916]E(f326(f326(f115(f880(x39161,a866)),f326(f259(x39161,x39162),x39163)),f326(f259(x39161,x39162),x39164)),f326(f259(x39161,x39162),f326(f326(f115(f880(f879(x39161,x39162),a866)),x39163),x39164)))
% 149.08/148.74 [3921]E(f326(f326(f115(f880(x39211,a866)),f326(f326(f115(f880(x39211,a866)),x39212),x39213)),x39214),f326(f326(f115(f880(x39211,a866)),x39212),f326(f326(f115(f880(x39211,a866)),x39213),x39214)))
% 149.08/148.74 [3922]E(f326(f326(f22(f880(x39221,a866)),f326(f326(f106(f880(x39221,a866)),x39222),x39223)),x39224),f326(f326(f106(f880(x39221,a866)),x39222),f326(f326(f22(f880(x39221,a866)),x39223),x39224)))
% 149.08/148.74 [3923]E(f326(f326(f106(f880(x39231,a866)),f326(f326(f106(f880(x39231,a866)),x39232),x39233)),x39234),f326(f326(f106(f880(x39231,a866)),x39232),f326(f326(f106(f880(x39231,a866)),x39233),x39234)))
% 149.08/148.74 [3963]E(f326(f326(f115(f880(f879(x39631,x39632),a866)),f326(f281(x39632,x39631),x39633)),f326(f281(x39632,x39631),x39634)),f326(f281(x39632,x39631),f326(f326(f115(f880(f879(x39632,x39631),a866)),x39633),x39634)))
% 149.08/148.74 [3964]E(f326(f326(f106(f880(f879(x39641,x39642),a866)),f326(f281(x39642,x39641),x39643)),f326(f281(x39642,x39641),x39644)),f326(f281(x39642,x39641),f326(f326(f106(f880(f879(x39642,x39641),a866)),x39643),x39644)))
% 149.08/148.74 [3978]E(f326(f326(f115(f880(x39781,f880(x39782,a866))),f250(x39782,x39781,x39783)),f250(x39782,x39781,x39784)),f250(x39782,x39781,f326(f326(f115(f880(x39782,f880(x39781,a866))),x39783),x39784)))
% 149.08/148.74 [3979]E(f326(f326(f106(f880(x39791,f880(x39792,a866))),f250(x39792,x39791,x39793)),f250(x39792,x39791,x39794)),f250(x39792,x39791,f326(f326(f106(f880(x39792,f880(x39791,a866))),x39793),x39794)))
% 149.08/148.74 [4036]E(f326(f326(f106(f880(x40361,a866)),f326(f326(f115(f880(x40361,a866)),x40362),x40363)),f326(f326(f115(f880(x40361,a866)),x40364),x40363)),f326(f326(f115(f880(x40361,a866)),f326(f326(f106(f880(x40361,a866)),x40362),x40364)),x40363))
% 149.08/148.74 [4037]E(f326(f326(f115(f880(x40371,a866)),f326(f326(f22(f880(x40371,a866)),x40372),x40373)),f326(f326(f22(f880(x40371,a866)),x40374),x40373)),f326(f326(f22(f880(x40371,a866)),f326(f326(f115(f880(x40371,a866)),x40372),x40374)),x40373))
% 149.08/148.74 [4038]E(f326(f326(f115(f880(x40381,a866)),f326(f326(f106(f880(x40381,a866)),x40382),x40383)),f326(f326(f106(f880(x40381,a866)),x40384),x40383)),f326(f326(f106(f880(x40381,a866)),f326(f326(f115(f880(x40381,a866)),x40382),x40384)),x40383))
% 149.08/148.74 [4039]E(f326(f326(f22(f880(x40391,a866)),f326(f326(f106(f880(x40391,a866)),x40392),x40393)),f326(f326(f106(f880(x40391,a866)),x40394),x40393)),f326(f326(f106(f880(x40391,a866)),f326(f326(f22(f880(x40391,a866)),x40392),x40394)),x40393))
% 149.08/148.74 [4040]E(f326(f326(f22(f880(x40401,a866)),f326(f326(f106(f880(x40401,a866)),x40402),x40403)),f326(f326(f106(f880(x40401,a866)),x40404),x40403)),f326(f326(f22(f880(x40401,a866)),f326(f326(f106(f880(x40401,a866)),x40402),x40403)),x40404))
% 149.08/148.74 [4050]E(f326(f326(f22(f880(x40501,a866)),f326(f326(f22(f880(x40501,a866)),x40502),f326(f326(f304(x40501),x40503),f190(f880(x40501,a866))))),x40504),f326(f326(f22(f880(x40501,a866)),x40502),f326(f326(f304(x40501),x40503),x40504)))
% 149.08/148.74 [4104]E(f326(f326(f115(f880(x41041,a866)),f326(f326(f304(x41041),x41042),f326(f326(f304(x41041),x41043),f190(f880(x41041,a866))))),f326(f279(x41041),x41044)),f326(f279(x41041),f326(f326(f304(f879(x41041,x41041)),f326(f326(f261(x41041,x41041),x41042),x41043)),x41044)))
% 149.08/148.74 [4134]E(f326(f326(f42(a872,f880(x41341,a866)),f326(f295(a872),x41342)),f326(f326(f8(a872,f880(x41341,a866),a872),x41343),f326(f326(f7(a872,a872,a872),f81(a872)),x41344))),f326(f326(f42(a872,f880(x41341,a866)),f297(a872,x41344,f326(f326(f81(a872),x41342),x41344))),x41343))
% 149.08/148.74 [4135]E(f170(x41351,f326(f280(x41351,x41351,x41352),f326(f326(f304(x41351),x41353),f190(f880(x41351,a866)))),f326(f280(f873(x41351),f873(x41351),f154(x41351,x41352)),f326(f326(f304(f873(x41351)),x41354),f190(f880(f873(x41351),a866))))),f326(f280(f873(x41351),f873(x41351),f154(x41351,x41352)),f326(f326(f304(f873(x41351)),f326(f326(f147(x41351),x41353),x41354)),f190(f880(f873(x41351),a866)))))
% 149.08/148.74 [4196]E(f326(f174(x41961,x41962),f326(f326(f150(x41961,f879(x41961,x41962)),f326(f326(f18(x41961,x41962,f879(x41961,x41962)),f261(x41961,x41962)),x41963)),x41964)),f184(x41961,x41962,f326(f74(x41962,f876(x41962),x41961,f233(x41962)),x41963),f326(f168(x41961),x41964)))
% 149.08/148.74 [4201]E(f326(f246(x42011),f326(f326(f7(x42011,f880(x42012,a866),a866),f326(f326(f8(x42012,f880(f880(x42012,a866),a866),x42011),f328(x42012)),x42013)),x42014)),f326(f306(x42011,x42012,x42013),x42014))
% 149.08/148.74 [4295]E(f326(f246(x42951),f326(f326(f7(x42951,f880(f879(x42952,x42951),a866),a866),f326(f326(f8(f879(x42952,x42951),f880(f880(f879(x42952,x42951),a866),a866),x42951),f328(f879(x42952,x42951))),f326(f261(x42952,x42951),x42953))),x42954)),f326(f280(x42952,x42951,x42954),f326(f326(f304(x42952),x42953),f190(f880(x42952,a866)))))
% 149.08/148.74 [4309]E(f326(f326(f150(f879(x43091,a872),x43091),f260(x43091,a872)),f326(f132(f879(x43091,a872),f326(f326(f8(a872,a866,f879(x43091,a872)),x43092),f326(f326(f8(a872,a872,f879(x43091,a872)),a117),f264(x43091,a872)))),f326(f326(f178(x43091,a872),x43093),x43094))),f326(f326(f150(f879(x43091,a872),x43091),f260(x43091,a872)),f326(f132(f879(x43091,a872),f326(f326(f8(a872,a866,f879(x43091,a872)),x43092),f264(x43091,a872))),f326(f326(f178(x43091,a872),x43093),f326(f326(f150(a872,a872),a117),x43094)))))
% 149.08/148.74 [4316]P103(f326(f326(f240(f880(f880(x43161,a866),a866)),f326(f326(f42(x43162,f880(f880(x43161,a866),a866)),x43163),f326(f326(f8(f880(x43161,a866),f880(f880(x43161,a866),a866),x43162),f303(x43161)),x43164))),f326(f303(x43161),f326(f326(f42(x43162,f880(x43161,a866)),x43163),x43164))))
% 149.08/148.74 [4358]E(f326(f326(f87(a1,x43581),f326(f108(a1),f326(f326(f81(a1),x43582),a102))),f326(f326(f18(a1,x43581,x43581),f326(f326(f7(a1,x43581,f880(x43581,x43581)),f326(f326(f8(a866,f880(x43581,f880(x43581,x43581)),a1),f101(x43581)),a196)),x43583)),f326(f326(f18(a1,x43581,x43581),f326(f326(f8(a872,f880(x43581,x43581),a1),x43584),a109)),f326(f326(f8(a872,x43581,a1),f186(x43581,x43583,x43584)),a109)))),f326(f186(x43581,x43583,x43584),f326(f108(a872),x43582)))
% 149.08/148.74 [4361]E(f326(f326(f150(x43611,x43612),f326(f74(f876(x43612),x43612,x43611,f237(x43612)),x43613)),f326(f132(x43611,f326(f326(f8(a866,a866,x43611),a321),f326(f326(f7(x43611,f876(x43612),a866),f326(f326(f8(f876(x43612),f880(f876(x43612),a866),x43611),a323),x43613)),f193(x43612)))),x43614)),f159(x43611,x43612,x43613,x43614))
% 149.08/148.74 [4384]E(f326(f246(f879(x43841,x43842)),f326(f265(x43841,x43842,a866),f326(f326(f7(x43841,f880(x43842,a866),f880(x43842,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x43842,a866),f880(x43842,a866)),x43841),f8(a866,a866,x43842)),f326(f326(f8(a866,f880(a866,a866),x43841),a324),f326(f326(f7(x43841,f880(x43841,a866),a866),f328(x43841)),x43843)))),f326(f326(f7(x43842,f880(x43842,a866),a866),f328(x43842)),x43844)))),f227(x43841,x43842,x43843,x43844))
% 149.08/148.74 [4417]E(f326(f326(f42(x44171,f880(f879(x44171,x44172),a866)),x44173),f326(f326(f18(x44171,f880(x44172,f880(f879(x44171,x44172),a866)),f880(f879(x44171,x44172),a866)),f326(f326(f8(f880(x44172,a866),f880(f880(x44172,f880(f879(x44171,x44172),a866)),f880(f879(x44171,x44172),a866)),x44171),f42(x44172,f880(f879(x44171,x44172),a866))),x44174)),f326(f326(f7(x44171,f880(f879(x44171,x44172),a866),f880(x44172,f880(f879(x44171,x44172),a866))),f326(f326(f8(f880(x44172,f880(f880(f879(x44171,x44172),a866),f880(f879(x44171,x44172),a866))),f880(f880(f879(x44171,x44172),a866),f880(x44172,f880(f879(x44171,x44172),a866))),x44171),f7(x44172,f880(f879(x44171,x44172),a866),f880(f879(x44171,x44172),a866))),f326(f326(f8(f880(x44172,f879(x44171,x44172)),f880(x44172,f880(f880(f879(x44171,x44172),a866),f880(f879(x44171,x44172),a866))),x44171),f326(f8(f879(x44171,x44172),f880(f880(f879(x44171,x44172),a866),f880(f879(x44171,x44172),a866)),x44172),f304(f879(x44171,x44172)))),f261(x44171,x44172)))),f190(f880(f879(x44171,x44172),a866))))),f326(f326(f263(x44171,x44172),x44173),x44174))
% 149.08/148.74 [3973]E(f326(f326(f126(x39731),f326(f326(f171(x39731),x39732),x39733)),f326(f326(f171(x39731),f326(f326(f22(a872),x39732),f326(f191(f873(x39731)),x39733))),x39734)),f326(f326(f171(x39731),x39732),f326(f326(f126(x39731),x39733),x39734)))
% 149.08/148.74 [3974]E(f326(f326(f126(x39741),f326(f326(f134(x39741),x39742),x39743)),f326(f326(f134(x39741),f326(f326(f22(a872),x39742),f326(f191(f873(x39741)),x39743))),x39744)),f326(f326(f134(x39741),x39742),f326(f326(f126(x39741),x39743),x39744)))
% 149.08/148.74 [4026]E(f326(f326(f81(a872),f326(f326(f82(a872),x40261),x40262)),f326(f326(f81(a872),f326(f326(f82(a872),x40263),x40262)),x40264)),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f81(a872),x40261),x40263)),x40262)),x40264))
% 149.08/148.74 [4226]P103(f326(f326(f240(f880(x42261,a866)),f326(f326(f22(f880(x42261,a866)),f326(f257(x42262,x42261),x42263)),f326(f257(x42262,x42261),x42264))),f326(f257(x42262,x42261),f326(f326(f22(f880(f879(x42262,x42261),a866)),x42263),x42264))))
% 149.08/148.74 [4227]P103(f326(f326(f240(f880(x42271,a866)),f326(f326(f22(f880(x42271,a866)),f326(f259(x42271,x42272),x42273)),f326(f259(x42271,x42272),x42274))),f326(f259(x42271,x42272),f326(f326(f22(f880(f879(x42271,x42272),a866)),x42273),x42274))))
% 149.08/148.74 [4336]E(f326(f326(f81(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x43361),x43362)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x43363),x43364)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),f326(f326(f81(a872),x43361),x43363)),f326(f326(f81(a872),x43362),x43364))),f190(f880(f879(a872,a872),a866))))))
% 149.08/148.74 [4379]E(f326(f326(f82(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x43791),x43792)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x43793),x43794)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),f326(f326(f81(a872),f326(f326(f82(a872),x43791),x43793)),f326(f326(f82(a872),x43792),x43794))),f326(f326(f81(a872),f326(f326(f82(a872),x43791),x43794)),f326(f326(f82(a872),x43792),x43793)))),f190(f880(f879(a872,a872),a866))))))
% 149.08/148.74 [4399]E(f326(f246(x43991),f326(f326(f8(f880(x43992,a866),a866,x43991),f89(x43992)),f326(f326(f8(f880(x43992,a866),f880(x43992,a866),x43991),f326(f18(x43992,a866,a866),f326(f326(f8(a866,f880(a866,a866),x43992),a329),f326(f326(f7(x43992,f880(x43992,a866),a866),f328(x43992)),x43993)))),f326(f326(f7(x43991,f880(x43992,f880(x43991,a866)),f880(x43992,a866)),f326(f326(f8(f880(f880(x43991,a866),a866),f880(f880(x43992,f880(x43991,a866)),f880(x43992,a866)),x43991),f8(f880(x43991,a866),a866,x43992)),f328(x43991))),x43994)))),f326(f326(f43(x43992,f880(x43991,a866)),x43993),x43994))
% 149.08/148.74 [4432]E(f326(f326(f283(x44321,x44321,x44321),f326(f326(f304(f879(x44321,x44321)),f326(f326(f261(x44321,x44321),x44322),x44323)),x44324)),f302(x44321,f326(f326(f304(f879(x44321,x44321)),f326(f326(f261(x44321,x44321),x44322),x44323)),x44324))),f326(f326(f115(f880(f879(x44321,x44321),a866)),f326(f326(f283(x44321,x44321,x44321),x44324),f302(x44321,x44324))),f326(f246(f879(x44321,x44321)),f326(f265(x44321,x44321,a866),f326(f326(f7(x44321,f880(x44321,a866),f880(x44321,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x44321,a866),f880(x44321,a866)),x44321),f8(a866,a866,x44321)),f326(f326(f8(a866,f880(a866,a866),x44321),a324),f326(f326(f7(x44321,f880(f879(x44321,x44321),a866),a866),f326(f326(f8(f879(x44321,x44321),f880(f880(f879(x44321,x44321),a866),a866),x44321),f328(f879(x44321,x44321))),f326(f326(f7(x44321,x44321,f879(x44321,x44321)),f261(x44321,x44321)),x44322))),f302(x44321,x44324))))),f326(f326(f7(x44321,f880(f879(x44321,x44321),a866),a866),f326(f326(f8(f879(x44321,x44321),f880(f880(f879(x44321,x44321),a866),a866),x44321),f328(f879(x44321,x44321))),f326(f261(x44321,x44321),x44323))),f302(x44321,x44324)))))))
% 149.08/148.74 [4228]E(f326(f132(x42281,f326(f326(f18(x42281,a866,a866),f326(f326(f8(a866,f880(a866,a866),x42281),a324),x42282)),x42283)),x42284),f326(f132(x42281,x42283),f326(f132(x42281,x42282),x42284)))
% 149.08/148.74 [4330]E(f326(f326(f126(x43301),f326(f326(f326(f101(f873(x43301)),f326(f326(f328(a872),f2(a872)),x43302)),f326(f326(f147(x43301),x43303),f118(x43301))),f118(x43301))),f172(x43301,x43304,f326(f246(a872),f326(f326(f7(a872,f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),a872),f328(a872)),a117)),x43302)))),f172(x43301,f326(f326(f147(x43301),x43303),x43304),x43302))
% 149.08/148.74 [4426]E(f326(f246(f879(x44261,x44262)),f326(f326(f8(f880(a872,a866),a866,f879(x44261,x44262)),f88(a872)),f326(f326(f7(f879(x44261,x44262),f880(a872,a866),f880(a872,a866)),f326(f326(f8(f880(a872,f880(a866,a866)),f880(f880(a872,a866),f880(a872,a866)),f879(x44261,x44262)),f18(a872,a866,a866)),f326(f326(f8(f880(a872,a866),f880(a872,f880(a866,a866)),f879(x44261,x44262)),f326(f8(a866,f880(a866,a866),a872),a324)),f326(f326(f7(f879(x44261,x44262),f880(a872,f879(x44261,x44262)),f880(a872,a866)),f326(f326(f8(f880(f879(x44261,x44262),a866),f880(f880(a872,f879(x44261,x44262)),f880(a872,a866)),f879(x44261,x44262)),f8(f879(x44261,x44262),a866,a872)),a323)),f326(f326(f18(a872,x44262,f879(x44261,x44262)),f326(f326(f8(x44261,f880(x44262,f879(x44261,x44262)),a872),f261(x44261,x44262)),f326(f161(x44261),x44263))),f326(f161(x44262),x44264)))))),f326(f326(f7(a872,a872,a866),f241(a872)),f326(f326(f238(a872),f326(f191(f873(x44261)),x44263)),f326(f191(f873(x44262)),x44264)))))),f326(f168(f879(x44261,x44262)),f326(f326(f178(x44261,x44262),x44263),x44264)))
% 149.08/148.74 [4349]E(f326(f246(f879(x43491,x43492)),f326(f265(x43491,x43492,a866),f326(f326(f7(x43491,f880(x43492,a866),f880(x43492,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x43492,a866),f880(x43492,a866)),x43491),f8(a866,a866,x43492)),f326(f326(f8(a866,f880(a866,a866),x43491),a324),x43493))),x43494))),f326(f326(f263(x43491,x43492),f326(f246(x43491),x43493)),f326(f16(f880(x43492,a866),x43491),f326(f246(x43492),x43494))))
% 149.08/148.74 [4352]E(f326(f246(f879(x43521,x43522)),f326(f265(x43521,x43522,a866),f326(f326(f18(x43521,f880(x43522,a866),f880(x43522,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x43522,a866),f880(x43522,a866)),x43521),f8(a866,a866,x43522)),f326(f326(f8(a866,f880(a866,a866),x43521),a324),x43523))),x43524))),f326(f326(f263(x43521,x43522),f326(f246(x43521),x43523)),f326(f326(f8(f880(x43522,a866),f880(x43522,a866),x43521),f246(x43522)),x43524)))
% 149.08/148.74 [4368]E(f326(f246(x43681),f326(f326(f8(f880(x43682,a866),a866,x43681),f89(x43682)),f326(f326(f8(f880(x43682,a866),f880(x43682,a866),x43681),f326(f18(x43682,a866,a866),f326(f326(f8(a866,f880(a866,a866),x43682),a329),f326(f326(f7(x43682,f880(x43682,a866),a866),f328(x43682)),x43683)))),x43684))),f326(f326(f43(x43682,f880(x43681,a866)),x43683),f326(f326(f8(f880(x43681,a866),f880(x43681,a866),x43682),f246(x43681)),f326(f7(x43681,x43682,a866),x43684))))
% 149.08/148.74 [4412]E(f326(f326(f150(f879(x44121,a872),x44121),f260(x44121,a872)),f326(f132(f879(x44121,a872),f326(f326(f7(f879(x44121,a872),f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),f879(x44121,a872)),f328(a872)),f264(x44121,a872))),x44122)),f326(f326(f178(x44121,a872),x44123),f135(a872,f326(f296(a872,x44124),f326(f326(f81(a872),x44124),f326(f191(f873(x44121)),x44123))))))),f326(f326(f150(f879(x44121,a872),x44121),f260(x44121,a872)),f326(f132(f879(x44121,a872),f326(f326(f7(f879(x44121,a872),f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),f879(x44121,a872)),f328(a872)),f326(f326(f7(f879(x44121,a872),a872,a872),f326(f326(f8(a872,f880(a872,a872),f879(x44121,a872)),f81(a872)),f264(x44121,a872))),x44124))),x44122)),f326(f326(f178(x44121,a872),x44123),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(x44121)),x44123)))))))
% 149.08/148.74 [4413]E(f326(a117,f326(f326(f239(a872),f326(f191(f873(x44131)),x44132)),f326(f138(a872,f873(x44133),f326(f7(f873(x44133),a872,a872),f326(f326(f8(a872,f880(a872,a872),f873(x44133)),f239(a872)),f326(f326(f7(f873(x44133),a872,a872),f326(f326(f8(a872,f880(a872,a872),f873(x44133)),f22(a872)),f191(f873(x44133)))),f326(a117,f2(a872))))),f2(a872)),f326(f165(f873(x44133)),f326(f132(f873(x44133),f326(f326(f8(a866,a866,f873(x44133)),a321),f326(f326(f7(f873(x44133),f873(x44133),a866),a323),f118(x44133)))),x44134))))),f326(f326(f239(a872),f326(a117,f326(f191(f873(x44131)),x44132))),f326(f138(a872,f873(x44133),f326(f7(f873(x44133),a872,a872),f326(f326(f8(a872,f880(a872,a872),f873(x44133)),f239(a872)),f191(f873(x44133)))),f2(a872)),f326(f165(f873(x44133)),x44134))))
% 149.08/148.74 [4367]E(f326(f326(f126(x43671),f172(x43671,x43672,x43673)),f172(x43671,x43674,f326(f246(a872),f326(f326(f7(a872,f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),a872),f328(a872)),f326(f326(f7(a872,a872,a872),f81(a872)),f326(f191(f873(x43671)),x43672)))),x43673)))),f172(x43671,f326(f326(f126(x43671),x43672),x43674),x43673))
% 149.08/148.74 [4419]E(f326(f326(f147(f873(x44191)),f326(f326(f147(x44191),x44192),f326(f138(f873(x44191),f873(x44191),f126(x44191),f118(x44191)),f326(f326(f150(f873(x44191),f873(x44191)),f152(f873(x44191),x44191,f118(x44191),f326(f326(f8(f873(x44191),f880(f873(x44191),f873(x44191)),x44191),f16(f873(x44191),f873(x44191))),f326(f326(f7(x44191,f873(x44191),f873(x44191)),f147(x44191)),f118(x44191))))),x44193)))),f176(x44191,f326(f326(f147(f873(x44191)),x44194),f326(f138(f873(f873(x44191)),f873(f873(x44191)),f126(f873(x44191)),f118(f873(x44191))),f326(f326(f150(f873(x44191),f873(f873(x44191))),f152(f873(f873(x44191)),x44191,f118(f873(x44191)),f326(f16(f880(f873(x44191),f873(f873(x44191))),x44191),f326(f326(f7(f873(x44191),f873(f873(x44191)),f873(f873(x44191))),f147(f873(x44191))),f118(f873(x44191)))))),x44193))))),f176(x44191,f326(f326(f147(f873(x44191)),f326(f326(f147(x44191),x44192),x44194)),x44193)))
% 149.08/148.74 [4427]E(f326(f246(f879(x44271,x44271)),f326(f265(x44271,x44271,a866),f326(f326(f7(x44271,f880(f879(x44272,x44272),a866),f880(x44271,a866)),f326(f326(f8(f880(x44271,f880(f880(f879(x44272,x44272),a866),a866)),f880(f880(f879(x44272,x44272),a866),f880(x44271,a866)),x44271),f7(x44271,f880(f879(x44272,x44272),a866),a866)),f326(f326(f8(f880(x44271,f879(x44272,x44272)),f880(x44271,f880(f880(f879(x44272,x44272),a866),a866)),x44271),f326(f8(f879(x44272,x44272),f880(f880(f879(x44272,x44272),a866),a866),x44271),f328(f879(x44272,x44272)))),f326(f326(f7(x44271,f880(x44271,x44272),f880(x44271,f879(x44272,x44272))),f326(f326(f8(f880(x44272,f879(x44272,x44272)),f880(f880(x44271,x44272),f880(x44271,f879(x44272,x44272))),x44271),f8(x44272,f879(x44272,x44272),x44271)),f326(f326(f8(x44272,f880(x44272,f879(x44272,x44272)),x44271),f261(x44272,x44272)),x44273))),x44273)))),x44274))),f326(f326(f282(x44272,x44271),x44274),x44273))
% 149.08/148.74 [4490]~E(f34(x44901,x44902),f29(x44903,x44904,x44905))
% 149.08/148.74 [4491]~E(f34(x44911,x44912),f31(x44913,x44914,x44915))
% 149.08/148.74 [4492]~E(f34(x44921,x44922),f30(x44923,x44924,x44925))
% 149.08/148.74 [4493]~E(f33(x44931,x44932),f29(x44933,x44934,x44935))
% 149.08/148.74 [4494]~E(f33(x44941,x44942),f31(x44943,x44944,x44945))
% 149.08/148.74 [4495]~E(f33(x44951,x44952),f30(x44953,x44954,x44955))
% 149.08/148.74 [4496]~E(f29(x44961,x44962,x44963),f34(x44964,x44965))
% 149.08/148.74 [4497]~E(f29(x44971,x44972,x44973),f33(x44974,x44975))
% 149.08/148.74 [4498]~E(f31(x44981,x44982,x44983),f34(x44984,x44985))
% 149.08/148.74 [4499]~E(f31(x44991,x44992,x44993),f33(x44994,x44995))
% 149.08/148.74 [4500]~E(f30(x45001,x45002,x45003),f34(x45004,x45005))
% 149.08/148.74 [4501]~E(f30(x45011,x45012,x45013),f33(x45014,x45015))
% 149.08/148.74 [3913]E(f326(f181(x39131,x39132,x39133,x39134),x39135),f326(f235(f876(x39132),x39132,f326(x39133,x39135),f233(x39132)),f326(x39134,x39135)))
% 149.08/148.74 [4001]E(f181(x40011,x40012,f181(x40011,x40012,x40013,x40014),x40015),f181(x40011,x40012,x40013,f181(x40011,x40012,x40014,x40015)))
% 149.08/148.74 [4175]E(f262(x41751,x41752,x41753,f250(x41752,x41751,x41754),f250(x41753,x41752,x41755)),f250(x41753,x41751,f262(x41753,x41752,x41751,x41755,x41754)))
% 149.08/148.74 [4182]E(f326(f326(f115(f880(x41821,a866)),f326(f168(x41821),f326(f326(f171(x41821),f326(f191(f873(x41822)),x41823)),x41824))),f180(x41821,x41822,x41825)),f180(x41821,x41822,f183(x41821,x41822,x41825,x41824,x41823)))
% 149.08/148.74 [3741]E(f326(f326(f265(x37411,x37412,x37413),x37414),x37415),f326(f326(x37414,f326(f260(x37411,x37412),x37415)),f326(f264(x37411,x37412),x37415)))
% 149.08/148.74 [3766]E(f326(f235(x37661,x37662,x37663,x37664),f326(f233(x37662),x37665)),f326(x37664,x37665))
% 149.08/148.74 [3775]E(f326(f326(f326(f66(x37751,x37752,x37753),x37754),x37755),f190(f880(x37752,a866))),x37755)
% 149.08/148.74 [3944]E(f236(x39441,x39442,x39443,x39444,f326(f233(x39442),x39445)),f326(x39444,x39445))
% 149.08/148.74 [4056]E(f326(f74(f876(x40561),f876(x40562),f876(x40563),f326(f204(x40561,x40562),x40564)),f326(f204(x40563,x40561),x40565)),f326(f204(x40563,x40562),f326(f74(x40561,x40562,x40563,x40564),x40565)))
% 149.08/148.74 [4058]E(f326(f74(f873(x40581),f873(x40582),f873(x40583),f326(f150(x40581,x40582),x40584)),f326(f150(x40583,x40581),x40585)),f326(f150(x40583,x40582),f326(f74(x40581,x40582,x40583,x40584),x40585)))
% 149.08/148.74 [4114]E(f326(f235(x41141,f879(x41142,f874(x41142)),x41143,f326(f265(x41142,f874(x41142),x41141),x41144)),f326(f129(x41142),x41145)),f131(x41141,x41142,x41143,x41144,x41145))
% 149.08/148.74 [4138]E(f86(x41381,f67(x41382,x41381,x41383,x41384,x41385)),f326(f326(f65(x41382,x41381,x41383),x41384),x41385))
% 149.08/148.74 [4173]E(f326(f326(f81(a872),f326(f326(f81(a872),f326(x41731,f326(f260(x41732,x41733),x41734))),f326(x41735,f326(f264(x41732,x41733),x41734)))),f326(a117,f2(a872))),f269(x41732,x41733,x41731,x41735,x41734))
% 149.08/148.74 [4363]E(f159(x43631,x43632,f326(f326(f7(x43631,f876(x43632),f876(x43632)),f326(f326(f18(x43631,f876(x43632),f880(f876(x43632),f876(x43632))),f326(f326(f8(a866,f880(f876(x43632),f880(f876(x43632),f876(x43632))),x43631),f101(f876(x43632))),x43633)),f326(f326(f8(x43632,f876(x43632),x43631),f233(x43632)),x43634))),f193(x43632)),x43635),f326(f326(f150(x43631,x43632),x43634),f326(f132(x43631,x43633),x43635)))
% 149.08/148.74 [4541]~E(f326(f326(f326(f73(x45411,f876(x45412)),x45413),x45414),f326(f233(x45412),x45415)),f326(f16(f876(x45412),x45411),f193(x45412)))
% 149.08/148.74 [3677]E(f326(f326(f171(x36771),x36772),f326(f326(f150(x36773,x36771),x36774),x36775)),f326(f326(f150(x36773,x36771),x36774),f326(f326(f171(x36773),x36772),x36775)))
% 149.08/148.74 [3678]E(f326(f326(f134(x36781),x36782),f326(f326(f150(x36783,x36781),x36784),x36785)),f326(f326(f150(x36783,x36781),x36784),f326(f326(f134(x36783),x36782),x36785)))
% 149.08/148.74 [3710]E(f326(f326(f150(x37101,x37102),x37103),f326(f326(f147(x37101),x37104),x37105)),f326(f326(f147(x37102),f326(x37103,x37104)),f326(f326(f150(x37101,x37102),x37103),x37105)))
% 149.08/148.74 [3770]E(f326(f305(x37701,x37702,x37703),f326(f326(f304(x37701),x37704),x37705)),f326(f326(f304(x37702),f326(x37703,x37704)),f326(f305(x37701,x37702,x37703),x37705)))
% 149.08/148.74 [3799]E(f169(x37991,f326(f326(f147(x37991),x37992),x37993),f326(f326(f147(x37991),x37994),x37995)),f326(f326(f147(x37991),x37992),f326(f326(f147(x37991),x37994),f169(x37991,x37993,x37995))))
% 149.08/148.74 [3835]E(f326(f326(f178(x38351,x38352),f326(f326(f171(x38351),x38353),x38354)),f326(f326(f171(x38352),x38353),x38355)),f326(f326(f171(f879(x38351,x38352)),x38353),f326(f326(f178(x38351,x38352),x38354),x38355)))
% 149.08/148.74 [3836]E(f326(f326(f178(x38361,x38362),f326(f326(f134(x38361),x38363),x38364)),f326(f326(f134(x38362),x38363),x38365)),f326(f326(f134(f879(x38361,x38362)),x38363),f326(f326(f178(x38361,x38362),x38364),x38365)))
% 149.08/148.74 [3846]E(f326(f326(f155(x38461,f326(f326(f147(x38461),x38462),x38463)),f326(a117,x38464)),x38465),f326(f326(f147(x38461),x38462),f326(f326(f155(x38461,x38463),x38464),x38465)))
% 149.08/148.74 [3849]E(f326(f235(f876(x38491),x38492,f193(x38491),x38493),f326(f326(f16(f876(x38492),x38494),f193(x38492)),x38495)),f193(x38491))
% 149.08/148.74 [3851]E(f326(f326(f126(x38511),f326(f326(f150(x38512,x38511),x38513),x38514)),f326(f326(f150(x38512,x38511),x38513),x38515)),f326(f326(f150(x38512,x38511),x38513),f326(f326(f126(x38512),x38514),x38515)))
% 149.08/148.74 [3855]E(f326(f326(x38551,x38552),f326(f326(f252(x38553,x38554,x38551),x38552),x38555)),f326(f326(f252(x38553,x38554,x38551),x38552),f326(a117,x38555)))
% 149.08/148.74 [3885]E(f160(x38851,x38852,x38853,f326(f326(f147(x38851),x38854),x38855)),f326(f326(f126(x38852),f326(x38853,x38854)),f160(x38851,x38852,x38853,x38855)))
% 149.08/148.74 [3897]E(f326(f326(f283(x38971,x38972,x38973),f326(f281(x38972,x38971),x38974)),f326(f281(x38973,x38972),x38975)),f326(f281(x38973,x38971),f326(f326(f283(x38973,x38972,x38971),x38975),x38974)))
% 149.08/148.74 [3931]E(f326(f326(f326(f185(f873(x39311),f873(x39311)),x39312),f164(x39311)),f326(f326(f150(x39313,x39311),x39314),x39315)),f326(f326(f150(x39313,x39311),x39314),f326(f326(f326(f185(f873(x39313),f873(x39313)),x39312),f164(x39313)),x39315)))
% 149.08/148.74 [3932]E(f326(f326(f267(x39321,x39322,x39321,x39323),f326(f261(x39322,x39321),x39324)),x39325),f326(x39325,x39324))
% 149.08/148.74 [3958]E(f151(x39581,x39582,f326(f326(f150(x39583,x39581),x39584),x39585)),f151(x39583,f326(f74(x39581,a872,x39583,x39582),x39584),x39585))
% 149.08/148.74 [4024]E(f326(f326(f74(f876(x40241),f876(x40242),x40243,f326(f204(x40241,x40242),x40244)),f326(f16(f876(x40241),x40243),f193(x40241))),x40245),f193(x40242))
% 149.08/148.74 [4025]E(f173(f879(x40251,x40252),f326(f74(x40252,a866,f879(x40251,x40252),x40253),f264(x40251,x40252)),f326(f326(f178(x40251,x40252),x40254),x40255)),f326(f326(f178(x40251,x40252),x40254),f173(x40252,x40253,x40255)))
% 149.08/148.74 [4030]E(f326(f305(x40301,x40302,f326(f326(f8(x40303,x40302,x40301),x40304),x40305)),f249(f880(x40301,a866))),f326(f305(x40303,x40302,x40304),f326(f305(x40301,x40303,x40305),f249(f880(x40301,a866)))))
% 149.08/148.74 [4043]E(f173(f879(x40431,x40432),f326(f74(x40431,a866,f879(x40431,x40432),x40433),f260(x40431,x40432)),f326(f326(f178(x40431,x40432),x40434),x40435)),f326(f326(f178(x40431,x40432),f173(x40431,x40433,x40434)),x40435))
% 149.08/148.74 [4062]E(f326(f326(f115(f880(x40621,a866)),f326(f306(x40621,x40622,x40623),f326(f326(f304(x40622),x40624),f190(f880(x40622,a866))))),f326(f306(x40621,x40622,x40623),x40625)),f326(f306(x40621,x40622,x40623),f326(f326(f304(x40622),x40624),x40625)))
% 149.08/148.74 [4122]E(f326(f326(f126(f879(x41221,x41222)),f326(f326(f150(x41222,f879(x41221,x41222)),f326(f261(x41221,x41222),x41223)),x41224)),f60(x41221,x41222,x41225,x41224)),f60(x41221,x41222,f326(f326(f147(x41221),x41223),x41225),x41224))
% 149.08/148.74 [4123]E(f326(f326(f150(x41231,x41232),x41233),f173(x41231,f326(f74(x41232,a866,x41231,x41234),x41233),x41235)),f173(x41232,x41234,f326(f326(f150(x41231,x41232),x41233),x41235)))
% 149.08/148.74 [4129]E(f326(f138(x41291,x41292,f326(f7(x41292,x41291,x41291),f326(f7(x41291,x41292,x41291),x41293)),x41294),f326(f165(x41292),f326(f165(x41292),x41295))),f326(f138(x41291,x41292,x41293,x41294),x41295))
% 149.08/148.74 [4130]E(f326(f326(f326(f73(x41301,f876(x41302)),f184(x41301,x41302,x41303,x41304)),x41305),f326(x41303,x41305)),f184(x41301,x41302,x41303,f326(f326(f304(x41301),x41305),x41304)))
% 149.08/148.74 [4199]E(f326(f235(f873(x41991),x41991,f159(x41992,x41991,x41993,x41994),f326(f326(f7(x41991,f873(x41991),f873(x41991)),f147(x41991)),f159(x41992,x41991,x41993,x41994))),f326(x41993,x41995)),f159(x41992,x41991,x41993,f326(f326(f147(x41992),x41995),x41994)))
% 149.08/148.74 [4236]P103(f326(f326(f240(f880(x42361,a866)),f326(f305(x42362,x42361,x42363),f326(f326(f106(f880(x42362,a866)),x42364),x42365))),f326(f326(f106(f880(x42361,a866)),f326(f305(x42362,x42361,x42363),x42364)),f326(f305(x42362,x42361,x42363),x42365))))
% 149.08/148.74 [4237]P103(f326(f326(f240(f880(x42371,a866)),f326(f280(x42372,x42371,x42373),f326(f326(f106(f880(x42372,a866)),x42374),x42375))),f326(f326(f106(f880(x42371,a866)),f326(f280(x42372,x42371,x42373),x42374)),f326(f280(x42372,x42371,x42373),x42375))))
% 149.08/148.74 [4337]E(f326(f264(x43371,x43372),f326(f266(x43373,x43371,x43372,x43372,x43374,f35(x43372)),x43375)),f326(f264(x43373,x43372),x43375))
% 149.08/148.74 [4338]E(f326(f260(x43381,x43382),f326(f266(x43381,x43381,x43383,x43382,f35(x43381),x43384),x43385)),f326(f260(x43381,x43383),x43385))
% 149.08/148.74 [4423]E(f326(f138(f880(x44231,f876(x44232)),f879(x44231,x44232),f326(f326(f8(f880(x44231,f880(x44232,f880(x44231,f876(x44232)))),f880(f879(x44231,x44232),f880(x44231,f876(x44232))),f880(x44231,f876(x44232))),f265(x44231,x44232,f880(x44231,f876(x44232)))),f326(f326(f7(f880(x44231,f876(x44232)),f880(x44232,f876(x44232)),f880(x44231,f880(x44232,f880(x44231,f876(x44232))))),f326(f326(f8(f880(x44231,f880(f880(x44232,f876(x44232)),f880(x44232,f880(x44231,f876(x44232))))),f880(f880(x44232,f876(x44232)),f880(x44231,f880(x44232,f880(x44231,f876(x44232))))),f880(x44231,f876(x44232))),f7(x44231,f880(x44232,f876(x44232)),f880(x44232,f880(x44231,f876(x44232))))),f326(f326(f8(f880(x44231,f880(f876(x44232),f880(x44231,f876(x44232)))),f880(x44231,f880(f880(x44232,f876(x44232)),f880(x44232,f880(x44231,f876(x44232))))),f880(x44231,f876(x44232))),f326(f8(f880(f876(x44232),f880(x44231,f876(x44232))),f880(f880(x44232,f876(x44232)),f880(x44232,f880(x44231,f876(x44232)))),x44231),f8(f876(x44232),f880(x44231,f876(x44232)),x44232))),f73(x44231,f876(x44232))))),f233(x44232))),x44233),f326(f326(f178(x44231,x44232),x44234),x44235)),f183(x44231,x44232,x44233,x44234,x44235))
% 149.08/148.74 [4425]P20(x44251,x44252,f326(f326(f304(f871(x44251)),f326(f326(f326(f93(x44251),f326(f326(f7(x44251,f880(a867,a866),f880(a867,a866)),f326(f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),x44251),f18(a867,a866,a866)),f326(f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),x44251),f326(f8(a866,f880(a866,a866),a867),a324)),x44253))),f326(f326(f8(a866,a866,a867),a321),x44254))),f33(x44254,x44255)),x44253)),f190(f880(f871(x44251),a866))))
% 149.08/148.74 [3522]E(f326(f326(f326(f326(f207(x35221),x35222),x35223),x35224),x35225),f195(x35221,x35222))
% 149.08/148.74 [3523]E(f326(f326(f326(f326(f213(x35231),x35232),x35233),x35234),x35235),f208(x35231,x35232))
% 149.08/148.74 [3567]E(f98(x35671,x35672,f326(f326(f326(f93(x35671),x35673),x35674),x35675)),f2(a872))
% 149.08/148.74 [3661]E(f326(f326(f326(f326(f73(x36611,x36612),x36613),x36614),x36615),x36614),x36615)
% 149.08/148.74 [3886]E(f326(f326(f42(x38861,f880(x38862,a866)),f326(f326(f304(x38861),x38863),x38864)),x38865),f326(f326(f115(f880(x38862,a866)),f326(x38865,x38863)),f326(f326(f42(x38861,f880(x38862,a866)),x38864),x38865)))
% 149.08/148.74 [3887]E(f326(f326(f43(x38871,f880(x38872,a866)),f326(f326(f304(x38871),x38873),x38874)),x38875),f326(f326(f106(f880(x38872,a866)),f326(x38875,x38873)),f326(f326(f43(x38871,f880(x38872,a866)),x38874),x38875)))
% 149.08/148.74 [3951]E(f326(f326(f115(f880(x39511,a866)),f326(f305(x39512,x39511,x39513),x39514)),f326(f305(x39512,x39511,x39513),x39515)),f326(f305(x39512,x39511,x39513),f326(f326(f115(f880(x39512,a866)),x39514),x39515)))
% 149.08/148.74 [3952]E(f326(f326(f115(f880(x39521,a866)),f326(f280(x39522,x39521,x39523),x39524)),f326(f280(x39522,x39521,x39523),x39525)),f326(f280(x39522,x39521,x39523),f326(f326(f115(f880(x39522,a866)),x39524),x39525)))
% 149.08/148.74 [3953]E(f326(f326(f115(f880(x39531,a866)),f326(f306(x39531,x39532,x39533),x39534)),f326(f306(x39531,x39532,x39533),x39535)),f326(f306(x39531,x39532,x39533),f326(f326(f115(f880(x39532,a866)),x39534),x39535)))
% 149.08/148.74 [3954]E(f326(f326(f22(f880(x39541,a866)),f326(f306(x39541,x39542,x39543),x39544)),f326(f306(x39541,x39542,x39543),x39545)),f326(f306(x39541,x39542,x39543),f326(f326(f22(f880(x39542,a866)),x39544),x39545)))
% 149.08/148.74 [3955]E(f326(f326(f106(f880(x39551,a866)),f326(f306(x39551,x39552,x39553),x39554)),f326(f306(x39551,x39552,x39553),x39555)),f326(f306(x39551,x39552,x39553),f326(f326(f106(f880(x39552,a866)),x39554),x39555)))
% 149.08/148.74 [3957]E(f184(x39571,x39572,f184(x39571,x39572,x39573,x39574),x39575),f184(x39571,x39572,x39573,f326(f326(f106(f880(x39571,a866)),x39574),x39575)))
% 149.08/148.74 [3959]E(f121(x39591,x39592,f326(x39593,x39594),f326(f326(f7(x39591,a104,f874(x39592)),x39595),x39594)),f326(f202(x39591,x39592,x39593,x39595),x39594))
% 149.08/148.74 [4020]E(f326(f326(f155(x40201,f326(f326(f126(x40201),x40202),f326(f326(f147(x40201),x40203),x40204))),f326(f191(f873(x40201)),x40202)),x40205),f326(f326(f126(x40201),x40202),f326(f326(f147(x40201),x40205),x40204)))
% 149.08/148.74 [4028]E(f326(f326(f43(x40281,f880(x40282,a866)),x40283),f326(f326(f8(f880(x40282,a866),f880(x40282,a866),x40281),f326(f304(x40282),x40284)),x40285)),f326(f326(f304(x40282),x40284),f326(f326(f43(x40281,f880(x40282,a866)),x40283),x40285)))
% 149.08/148.74 [4096]E(f184(x40961,x40962,f326(f326(f326(f73(x40961,f876(x40962)),x40963),x40964),f326(f233(x40962),x40965)),f326(f80(f880(x40961,a866)),f326(f326(f304(x40961),x40964),f190(f880(x40961,a866))))),f184(x40961,x40962,x40963,f326(f80(f880(x40961,a866)),f326(f326(f304(x40961),x40964),f190(f880(x40961,a866))))))
% 149.08/148.74 [4186]E(f326(f326(f150(x41861,x41862),x41863),f326(f132(x41861,f326(f74(x41862,a866,x41861,x41864),x41863)),x41865)),f326(f132(x41862,x41864),f326(f326(f150(x41861,x41862),x41863),x41865)))
% 149.08/148.74 [4192]E(f326(f191(f873(x41921)),f326(f132(x41921,x41922),f326(f326(f150(x41923,x41921),x41924),x41925))),f326(f191(f873(x41923)),f326(f132(x41923,f326(f74(x41921,a866,x41923,x41922),x41924)),x41925)))
% 149.08/148.74 [4329]E(f326(f326(f115(f880(x43291,a866)),f326(f326(f22(f880(x43291,a866)),f180(x43291,x43292,x43293)),f326(f246(x43291),f326(f326(f7(x43291,f880(x43291,a866),a866),f328(x43291)),f326(f326(f22(f880(x43291,a866)),x43294),f180(x43291,x43292,x43295)))))),f326(f246(x43291),f326(f326(f7(x43291,f880(x43291,a866),a866),f328(x43291)),f326(f326(f106(f880(x43291,a866)),x43294),f180(x43291,x43292,x43295))))),f180(x43291,x43292,f77(x43291,f876(x43292),x43293,x43295,x43294)))
% 149.08/148.74 [4404]E(f326(f152(f873(f879(x44041,x44042)),x44042,f118(f879(x44041,x44042)),f326(f326(f7(x44042,f880(f873(x44042),f873(f879(x44041,x44042))),f880(f873(x44042),f873(f879(x44041,x44042)))),f326(f326(f8(f880(f873(f879(x44041,x44042)),f873(f879(x44041,x44042))),f880(f880(f873(x44042),f873(f879(x44041,x44042))),f880(f873(x44042),f873(f879(x44041,x44042)))),x44042),f8(f873(f879(x44041,x44042)),f873(f879(x44041,x44042)),f873(x44042))),f326(f326(f8(f879(x44041,x44042),f880(f873(f879(x44041,x44042)),f873(f879(x44041,x44042))),x44042),f147(f879(x44041,x44042))),f326(f261(x44041,x44042),x44043)))),f326(f178(x44041,x44042),x44044))),x44045),f326(f326(f178(x44041,x44042),f326(f326(f147(x44041),x44043),x44044)),x44045))
% 149.08/148.74 [3880]E(f326(f326(f155(x38801,f326(f326(f155(x38801,x38802),x38803),x38804)),x38803),x38805),f326(f326(f155(x38801,x38802),x38803),x38805))
% 149.08/148.74 [3933]E(f326(f257(x39331,x39332),f326(f326(f304(f879(x39331,x39332)),f326(f326(f261(x39331,x39332),x39333),x39334)),x39335)),f326(f326(f304(x39332),x39334),f326(f257(x39331,x39332),x39335)))
% 149.08/148.74 [3934]E(f326(f259(x39341,x39342),f326(f326(f304(f879(x39341,x39342)),f326(f326(f261(x39341,x39342),x39343),x39344)),x39345)),f326(f326(f304(x39341),x39343),f326(f259(x39341,x39342),x39345)))
% 149.08/148.74 [3983]E(f124(x39831,x39832,f326(x39833,x39834),f326(f326(f7(x39831,a104,f874(f876(x39832))),x39835),x39834)),f326(f200(x39831,x39832,x39833,x39835),x39834))
% 149.08/148.74 [4013]E(f326(f326(f115(f880(f879(x40131,x40132),a866)),f326(f326(f263(x40131,x40132),x40133),x40134)),f326(f326(f263(x40131,x40132),x40135),x40134)),f326(f326(f263(x40131,x40132),f326(f326(f115(f880(x40131,a866)),x40133),x40135)),x40134))
% 149.08/148.74 [4014]E(f326(f326(f22(f880(f879(x40141,x40142),a866)),f326(f326(f263(x40141,x40142),x40143),x40144)),f326(f326(f263(x40141,x40142),x40145),x40144)),f326(f326(f263(x40141,x40142),f326(f326(f22(f880(x40141,a866)),x40143),x40145)),x40144))
% 149.08/148.74 [4015]E(f326(f326(f106(f880(f879(x40151,x40152),a866)),f326(f326(f263(x40151,x40152),x40153),x40154)),f326(f326(f263(x40151,x40152),x40155),x40154)),f326(f326(f263(x40151,x40152),f326(f326(f106(f880(x40151,a866)),x40153),x40155)),x40154))
% 149.08/148.74 [4074]E(f326(f326(f115(f880(x40741,a866)),f326(f326(f42(x40742,f880(x40741,a866)),x40743),x40744)),f326(f326(f42(x40742,f880(x40741,a866)),x40745),x40744)),f326(f326(f42(x40742,f880(x40741,a866)),f326(f326(f115(f880(x40742,a866)),x40743),x40745)),x40744))
% 149.08/148.74 [4075]E(f326(f326(f106(f880(x40751,a866)),f326(f326(f43(x40752,f880(x40751,a866)),x40753),x40754)),f326(f326(f43(x40752,f880(x40751,a866)),x40755),x40754)),f326(f326(f43(x40752,f880(x40751,a866)),f326(f326(f115(f880(x40752,a866)),x40753),x40755)),x40754))
% 149.08/148.74 [4089]E(f326(f326(f42(x40891,f880(x40892,a866)),x40893),f326(f326(f8(f880(x40892,a866),f880(x40892,a866),x40891),f326(f22(f880(x40892,a866)),x40894)),x40895)),f326(f326(f22(f880(x40892,a866)),x40894),f326(f326(f43(x40891,f880(x40892,a866)),x40893),x40895)))
% 149.08/148.74 [4090]E(f326(f326(f42(x40901,f880(x40902,a866)),x40903),f326(f326(f8(f880(x40902,a866),f880(x40902,a866),x40901),f326(f106(f880(x40902,a866)),x40904)),x40905)),f326(f326(f106(f880(x40902,a866)),x40904),f326(f326(f42(x40901,f880(x40902,a866)),x40903),x40905)))
% 149.08/148.74 [4091]E(f326(f326(f43(x40911,f880(x40912,a866)),x40913),f326(f326(f8(f880(x40912,a866),f880(x40912,a866),x40911),f326(f115(f880(x40912,a866)),x40914)),x40915)),f326(f326(f115(f880(x40912,a866)),x40914),f326(f326(f43(x40911,f880(x40912,a866)),x40913),x40915)))
% 149.08/148.74 [4128]E(f181(x41281,x41282,x41283,f326(f174(x41281,x41282),f326(f165(f879(x41281,x41282)),f326(f326(f178(x41281,x41282),x41284),x41285)))),f183(x41281,x41282,x41283,x41284,x41285))
% 149.08/148.74 [4150]E(f187(f873(x41501),f326(f326(f147(x41501),x41502),x41503),f326(f326(f8(f873(x41501),f873(x41501),a872),f326(f147(x41501),x41504)),f326(f326(f7(a872,x41501,f873(x41501)),f155(x41501,x41503)),x41502)),x41505),f326(f326(f155(x41501,f326(f326(f147(x41501),x41504),x41503)),x41505),x41502))
% 149.08/148.74 [4154]E(f326(f326(f42(x41541,f880(f879(x41542,x41543),a866)),x41544),f326(f326(f8(f880(f879(x41543,x41542),a866),f880(f879(x41542,x41543),a866),x41541),f281(x41543,x41542)),x41545)),f326(f281(x41543,x41542),f326(f326(f42(x41541,f880(f879(x41543,x41542),a866)),x41544),x41545)))
% 149.08/148.74 [4155]E(f326(f326(f43(x41551,f880(f879(x41552,x41553),a866)),x41554),f326(f326(f8(f880(f879(x41553,x41552),a866),f880(f879(x41552,x41553),a866),x41551),f281(x41553,x41552)),x41555)),f326(f281(x41553,x41552),f326(f326(f43(x41551,f880(f879(x41553,x41552),a866)),x41554),x41555)))
% 149.08/148.74 [4210]E(f180(x42101,x42102,f326(f326(f18(x42101,f876(x42103),f876(x42102)),f326(f326(f8(f880(x42103,x42102),f880(f876(x42103),f876(x42102)),x42101),f204(x42103,x42102)),x42104)),x42105)),f180(x42101,x42103,x42105))
% 149.08/148.74 [4261]P103(f326(f326(f240(f880(x42611,a866)),f326(f326(f22(f880(x42611,a866)),f326(f305(x42612,x42611,x42613),x42614)),f326(f305(x42612,x42611,x42613),x42615))),f326(f305(x42612,x42611,x42613),f326(f326(f22(f880(x42612,a866)),x42614),x42615))))
% 149.08/148.74 [4408]E(f326(f152(f873(f879(x44081,x44082)),x44081,f118(f879(x44081,x44082)),f326(f326(f7(x44081,f880(f873(x44081),f873(f879(x44081,x44082))),f880(f873(x44081),f873(f879(x44081,x44082)))),f326(f326(f8(f880(f873(f879(x44081,x44082)),f873(f879(x44081,x44082))),f880(f880(f873(x44081),f873(f879(x44081,x44082))),f880(f873(x44081),f873(f879(x44081,x44082)))),x44081),f8(f873(f879(x44081,x44082)),f873(f879(x44081,x44082)),f873(x44081))),f326(f326(f8(f879(x44081,x44082),f880(f873(f879(x44081,x44082)),f873(f879(x44081,x44082))),x44081),f147(f879(x44081,x44082))),f326(f326(f7(x44081,x44082,f879(x44081,x44082)),f261(x44081,x44082)),x44083)))),f326(f326(f7(f873(x44081),f873(x44082),f873(f879(x44081,x44082))),f178(x44081,x44082)),x44084))),x44085),f326(f326(f178(x44081,x44082),x44085),f326(f326(f147(x44082),x44083),x44084)))
% 149.08/148.74 [4116]E(f326(f326(f115(f880(x41161,a866)),f326(f280(x41162,x41161,x41163),x41164)),f326(f280(x41162,x41161,x41165),x41164)),f326(f280(x41162,x41161,f326(f326(f115(f880(f879(x41162,x41161),a866)),x41163),x41165)),x41164))
% 149.08/148.74 [4157]E(f326(f326(f126(f879(x41571,x41572)),f326(f326(f178(x41571,x41572),x41573),f326(f326(f171(x41572),f326(f191(f873(x41571)),x41573)),x41574))),f326(f326(f178(x41571,x41572),x41575),f326(f326(f134(x41572),f326(f191(f873(x41571)),x41573)),x41574))),f326(f326(f178(x41571,x41572),f326(f326(f126(x41571),x41573),x41575)),x41574))
% 149.08/148.74 [4264]E(f326(f326(f263(x42641,x42642),x42643),f326(f326(f18(x42641,f880(x42642,a866),f880(x42642,a866)),f326(f326(f8(f880(x42642,a866),f880(f880(x42642,a866),f880(x42642,a866)),x42641),f115(f880(x42642,a866))),x42644)),x42645)),f326(f326(f115(f880(f879(x42641,x42642),a866)),f326(f326(f263(x42641,x42642),x42643),x42644)),f326(f326(f263(x42641,x42642),x42643),x42645)))
% 149.08/148.74 [4265]E(f326(f326(f263(x42651,x42652),x42653),f326(f326(f18(x42651,f880(x42652,a866),f880(x42652,a866)),f326(f326(f8(f880(x42652,a866),f880(f880(x42652,a866),f880(x42652,a866)),x42651),f22(f880(x42652,a866))),x42654)),x42655)),f326(f326(f22(f880(f879(x42651,x42652),a866)),f326(f326(f263(x42651,x42652),x42653),x42654)),f326(f326(f263(x42651,x42652),x42653),x42655)))
% 149.08/148.74 [4266]E(f326(f326(f263(x42661,x42662),x42663),f326(f326(f18(x42661,f880(x42662,a866),f880(x42662,a866)),f326(f326(f8(f880(x42662,a866),f880(f880(x42662,a866),f880(x42662,a866)),x42661),f106(f880(x42662,a866))),x42664)),x42665)),f326(f326(f106(f880(f879(x42661,x42662),a866)),f326(f326(f263(x42661,x42662),x42663),x42664)),f326(f326(f263(x42661,x42662),x42663),x42665)))
% 149.08/148.74 [4270]E(f326(f326(f42(x42701,f880(x42702,a866)),x42703),f326(f326(f7(x42701,f880(x42702,a866),f880(x42702,a866)),f326(f326(f8(f880(x42702,a866),f880(f880(x42702,a866),f880(x42702,a866)),x42701),f22(f880(x42702,a866))),x42704)),x42705)),f326(f326(f22(f880(x42702,a866)),f326(f326(f42(x42701,f880(x42702,a866)),x42703),x42704)),x42705))
% 149.08/148.74 [4271]E(f326(f326(f42(x42711,f880(x42712,a866)),x42713),f326(f326(f7(x42711,f880(x42712,a866),f880(x42712,a866)),f326(f326(f8(f880(x42712,a866),f880(f880(x42712,a866),f880(x42712,a866)),x42711),f106(f880(x42712,a866))),x42714)),x42715)),f326(f326(f106(f880(x42712,a866)),f326(f326(f42(x42711,f880(x42712,a866)),x42713),x42714)),x42715))
% 149.08/148.74 [4272]E(f326(f326(f43(x42721,f880(x42722,a866)),x42723),f326(f326(f7(x42721,f880(x42722,a866),f880(x42722,a866)),f326(f326(f8(f880(x42722,a866),f880(f880(x42722,a866),f880(x42722,a866)),x42721),f115(f880(x42722,a866))),x42724)),x42725)),f326(f326(f115(f880(x42722,a866)),f326(f326(f43(x42721,f880(x42722,a866)),x42723),x42724)),x42725))
% 149.08/148.74 [4276]E(f326(f326(f42(x42761,f880(x42762,a866)),x42763),f326(f326(f18(x42761,f880(x42762,a866),f880(x42762,a866)),f326(f326(f8(f880(x42762,a866),f880(f880(x42762,a866),f880(x42762,a866)),x42761),f115(f880(x42762,a866))),x42764)),x42765)),f326(f326(f115(f880(x42762,a866)),f326(f326(f42(x42761,f880(x42762,a866)),x42763),x42764)),f326(f326(f42(x42761,f880(x42762,a866)),x42763),x42765)))
% 149.08/148.74 [4277]E(f326(f326(f43(x42771,f880(x42772,a866)),x42773),f326(f326(f18(x42771,f880(x42772,a866),f880(x42772,a866)),f326(f326(f8(f880(x42772,a866),f880(f880(x42772,a866),f880(x42772,a866)),x42771),f106(f880(x42772,a866))),x42774)),x42775)),f326(f326(f106(f880(x42772,a866)),f326(f326(f43(x42771,f880(x42772,a866)),x42773),x42774)),f326(f326(f43(x42771,f880(x42772,a866)),x42773),x42775)))
% 149.08/148.74 [4291]E(f326(f326(f42(x42911,f880(x42912,a866)),x42913),f326(f326(f18(x42911,f880(x42912,a866),f880(x42912,a866)),f326(f326(f8(f880(x42912,a866),f880(f880(x42912,a866),f880(x42912,a866)),x42911),f115(f880(x42912,a866))),x42914)),x42915)),f326(f326(f115(f880(x42912,a866)),f40(f880(x42912,a866),f326(f305(x42911,f880(x42912,a866),x42914),x42913))),f40(f880(x42912,a866),f326(f305(x42911,f880(x42912,a866),x42915),x42913))))
% 149.08/148.74 [4292]E(f326(f326(f43(x42921,f880(x42922,a866)),x42923),f326(f326(f18(x42921,f880(x42922,a866),f880(x42922,a866)),f326(f326(f8(f880(x42922,a866),f880(f880(x42922,a866),f880(x42922,a866)),x42921),f106(f880(x42922,a866))),x42924)),x42925)),f326(f326(f106(f880(x42922,a866)),f41(f880(x42922,a866),f326(f305(x42921,f880(x42922,a866),x42924),x42923))),f41(f880(x42922,a866),f326(f305(x42921,f880(x42922,a866),x42925),x42923))))
% 149.08/148.74 [4325]E(f326(f326(f134(x43251),f326(f191(f873(x43251)),f173(x43251,x43252,f326(f326(f150(x43253,x43251),x43254),x43255)))),f326(f326(f150(x43253,x43251),x43254),x43255)),f326(f326(f150(x43253,x43251),x43254),f326(f326(f134(x43253),f326(f191(f873(x43253)),f173(x43253,f326(f74(x43251,a866,x43253,x43252),x43254),x43255))),x43255)))
% 149.08/148.74 [4200]E(f326(f326(f126(f879(x42001,x42002)),f326(f326(f178(x42001,x42002),f326(f326(f171(x42001),f326(f191(f873(x42002)),x42003)),x42004)),x42003)),f326(f326(f178(x42001,x42002),f326(f326(f134(x42001),f326(f191(f873(x42002)),x42003)),x42004)),x42005)),f326(f326(f178(x42001,x42002),x42004),f326(f326(f126(x42002),x42003),x42005)))
% 149.08/148.74 [4317]E(f86(x43171,f326(f326(f18(x43171,a866,a866),f326(f326(f8(a866,f880(a866,a866),x43171),a324),f326(f326(f7(x43171,f880(x43171,a866),a866),f328(x43171)),x43172))),f326(f326(f7(x43171,x43173,a866),f326(f326(f8(x43173,f880(x43173,a866),x43171),a323),x43174)),x43175))),f326(f78(x43171,x43173,x43172,x43174),x43175))
% 149.08/148.74 [4369]E(f326(f326(f87(a1,x43691),f326(f108(a1),f326(f326(f81(a1),x43692),a102))),f326(f326(f18(a1,x43691,x43691),f326(f326(f7(a1,x43691,f880(x43691,x43691)),f326(f326(f8(a866,f880(x43691,f880(x43691,x43691)),a1),f101(x43691)),a196)),f187(x43691,x43693,x43694,x43695))),f326(f326(f8(a872,x43691,a1),x43694),f326(f326(f7(a1,a872,a872),f326(f326(f8(a872,f880(a872,a872),a1),f81(a872)),a109)),x43695)))),f187(x43691,x43693,x43694,f326(f326(f81(a872),f326(f108(a872),x43692)),x43695)))
% 149.08/148.74 [4405]E(f326(f174(x44051,x44052),f326(f326(f150(f879(x44051,x44053),f879(x44051,x44052)),f326(f265(x44051,x44053,f879(x44051,x44052)),f326(f326(f7(x44051,f880(x44053,x44052),f880(x44053,f879(x44051,x44052))),f326(f326(f8(f880(x44052,f879(x44051,x44052)),f880(f880(x44053,x44052),f880(x44053,f879(x44051,x44052))),x44051),f8(x44052,f879(x44051,x44052),x44053)),f261(x44051,x44052))),x44054))),x44055)),f326(f74(f876(x44053),f876(x44052),x44051,f326(f204(x44053,x44052),x44054)),f326(f174(x44051,x44053),x44055)))
% 149.08/148.74 [4362]E(f180(x43621,x43622,f326(f326(f18(x43621,f876(x43622),f876(x43622)),f326(f326(f18(x43621,f876(x43622),f880(f876(x43622),f876(x43622))),f326(f326(f8(a866,f880(f876(x43622),f880(f876(x43622),f876(x43622))),x43621),f101(f876(x43622))),x43623)),x43624)),x43625)),f326(f326(f115(f880(x43621,a866)),f326(f326(f106(f880(x43621,a866)),f180(x43621,x43622,x43624)),f326(f246(x43621),x43623))),f326(f326(f106(f880(x43621,a866)),f180(x43621,x43622,x43625)),f326(f246(x43621),f326(f326(f8(a866,a866,x43621),a321),x43623)))))
% 149.08/148.74 [4403]E(f326(f326(f87(a1,x44031),f326(f108(a1),f326(f326(f81(a1),x44032),a102))),f326(f326(f18(a1,x44031,x44031),f326(f326(f7(a1,x44031,f880(x44031,x44031)),f326(f326(f8(a866,f880(x44031,f880(x44031,x44031)),a1),f101(x44031)),a196)),f326(f186(x44031,x44033,x44034),x44035))),f326(f326(f18(a1,x44031,x44031),f326(f326(f8(a872,f880(x44031,x44031),a1),x44034),f326(f326(f7(a1,a872,a872),f326(f326(f8(a872,f880(a872,a872),a1),f81(a872)),a109)),x44035))),f326(f326(f8(a872,x44031,a1),f186(x44031,x44033,x44034)),f326(f326(f7(a1,a872,a872),f326(f326(f8(a872,f880(a872,a872),a1),f81(a872)),a109)),x44035))))),f326(f186(x44031,x44033,x44034),f326(f326(f81(a872),f326(f108(a872),x44032)),x44035)))
% 149.08/148.74 [4437]E(f326(f246(f879(x44371,x44372)),f326(f265(x44371,x44372,a866),f326(f326(f8(f880(x44372,f880(x44373,a866)),f880(x44372,a866),x44371),f326(f8(f880(x44373,a866),a866,x44372),f88(x44373))),f326(f326(f7(x44371,f880(x44372,f880(x44373,a866)),f880(x44372,f880(x44373,a866))),f326(f326(f8(f880(f880(x44373,a866),f880(x44373,a866)),f880(f880(x44372,f880(x44373,a866)),f880(x44372,f880(x44373,a866))),x44371),f8(f880(x44373,a866),f880(x44373,a866),x44372)),f326(f326(f8(f880(x44373,f880(a866,a866)),f880(f880(x44373,a866),f880(x44373,a866)),x44371),f18(x44373,a866,a866)),f326(f326(f8(f880(x44373,a866),f880(x44373,f880(a866,a866)),x44371),f326(f8(a866,f880(a866,a866),x44373),a324)),f326(f326(f7(x44371,f880(f879(x44371,x44373),a866),f880(x44373,a866)),f326(f326(f8(f880(x44373,f880(f880(f879(x44371,x44373),a866),a866)),f880(f880(f879(x44371,x44373),a866),f880(x44373,a866)),x44371),f7(x44373,f880(f879(x44371,x44373),a866),a866)),f326(f326(f8(f880(x44373,f879(x44371,x44373)),f880(x44373,f880(f880(f879(x44371,x44373),a866),a866)),x44371),f326(f8(f879(x44371,x44373),f880(f880(f879(x44371,x44373),a866),a866),x44373),f328(f879(x44371,x44373)))),f261(x44371,x44373)))),x44374))))),f326(f326(f7(x44372,f880(f879(x44373,x44372),a866),f880(x44373,a866)),f326(f326(f8(f880(x44373,f880(f880(f879(x44373,x44372),a866),a866)),f880(f880(f879(x44373,x44372),a866),f880(x44373,a866)),x44372),f7(x44373,f880(f879(x44373,x44372),a866),a866)),f326(f326(f8(f880(x44373,f879(x44373,x44372)),f880(x44373,f880(f880(f879(x44373,x44372),a866),a866)),x44372),f326(f8(f879(x44373,x44372),f880(f880(f879(x44373,x44372),a866),a866),x44373),f328(f879(x44373,x44372)))),f326(f7(x44373,x44372,f879(x44373,x44372)),f261(x44373,x44372))))),x44375))))),f326(f326(f283(x44371,x44373,x44372),x44374),x44375))
% 149.08/148.74 [4522]~E(f31(x45221,x45222,x45223),f29(x45224,x45225,x45226))
% 149.08/148.74 [4525]~E(f30(x45251,x45252,x45253),f29(x45254,x45255,x45256))
% 149.08/148.74 [4526]~E(f30(x45261,x45262,x45263),f31(x45264,x45265,x45266))
% 149.08/148.74 [3968]E(f131(x39681,x39682,x39683,x39684,f127(x39682,x39685,x39686)),f326(f326(x39684,x39685),x39686))
% 149.08/148.74 [4184]E(f183(x41841,x41842,f181(x41841,x41842,x41843,x41844),x41845,x41846),f181(x41841,x41842,x41843,f183(x41841,x41842,x41844,x41845,x41846)))
% 149.08/148.74 [4307]E(f326(f74(f879(x43071,x43072),x43072,f879(x43073,x43074),f264(x43071,x43072)),f266(x43073,x43071,x43074,x43072,x43075,x43076)),f326(f74(x43074,x43072,f879(x43073,x43074),x43076),f264(x43073,x43074)))
% 149.08/148.74 [4308]E(f326(f74(f879(x43081,x43082),x43081,f879(x43083,x43084),f260(x43081,x43082)),f266(x43083,x43081,x43084,x43082,x43085,x43086)),f326(f74(x43083,x43081,f879(x43083,x43084),x43085),f260(x43083,x43084)))
% 149.08/148.74 [3908]E(f326(f326(f74(x39081,x39082,x39083,x39084),x39085),x39086),f326(x39084,f326(x39085,x39086)))
% 149.08/148.74 [3708]E(f326(f326(f265(x37081,x37082,x37083),x37084),f326(f326(f261(x37081,x37082),x37085),x37086)),f326(f326(x37084,x37085),x37086))
% 149.08/148.74 [3767]E(f326(f326(f326(f8(x37671,x37672,x37673),x37674),x37675),x37676),f326(x37674,f326(x37675,x37676)))
% 149.08/148.74 [3768]E(f326(f326(f326(f7(x37681,x37682,x37683),x37684),x37685),x37686),f326(f326(x37684,x37686),x37685))
% 149.08/148.74 [3785]E(f326(f326(f326(f18(x37851,x37852,x37853),x37854),x37855),x37856),f326(f326(x37854,x37856),f326(x37855,x37856)))
% 149.08/148.74 [3807]E(f326(f152(x38071,x38072,x38073,x38074),f326(f326(f147(x38072),x38075),x38076)),f326(f326(x38074,x38075),x38076))
% 149.08/148.74 [3912]E(f326(f326(f147(f879(x39121,x39122)),f326(f326(f261(x39121,x39122),x39123),x39124)),f326(f326(f178(x39121,x39122),x39125),x39126)),f326(f326(f178(x39121,x39122),f326(f326(f147(x39121),x39123),x39125)),f326(f326(f147(x39122),x39124),x39126)))
% 149.08/148.74 [3914]E(f326(f326(f150(x39141,x39142),x39143),f326(f326(f155(x39141,x39144),x39145),x39146)),f326(f326(f155(x39142,f326(f326(f150(x39141,x39142),x39143),x39144)),x39145),f326(x39143,x39146)))
% 149.08/148.74 [3956]E(f326(f138(x39561,x39562,x39563,x39564),f326(f326(f147(x39562),x39565),x39566)),f326(f138(x39561,x39562,x39563,f326(f326(x39563,x39564),x39565)),x39566))
% 149.08/148.74 [3984]E(f268(x39841,x39842,x39843,x39844,f326(f326(f261(x39841,x39842),x39845),x39846)),f326(f326(x39844,x39845),x39846))
% 149.08/148.74 [4067]E(f326(f326(f42(x40671,f880(x40672,a866)),x40673),f326(f74(x40674,f880(x40672,a866),x40671,x40675),x40676)),f326(f326(f42(x40674,f880(x40672,a866)),f326(f305(x40671,x40674,x40676),x40673)),x40675))
% 149.08/148.74 [4119]E(f326(f326(f204(x41191,x41192),x41193),f326(f326(f204(x41194,x41191),x41195),x41196)),f326(f326(f204(x41194,x41192),f326(f74(x41191,x41192,x41194,x41193),x41195)),x41196))
% 149.08/148.74 [4121]E(f326(f326(f150(x41211,x41212),x41213),f326(f326(f150(x41214,x41211),x41215),x41216)),f326(f326(f150(x41214,x41212),f326(f74(x41211,x41212,x41214,x41213),x41215)),x41216))
% 149.08/148.74 [4126]E(f326(f305(x41261,x41262,f326(f74(x41263,x41262,x41261,x41264),x41265)),x41266),f326(f305(x41263,x41262,x41264),f326(f305(x41261,x41263,x41265),x41266)))
% 149.08/148.74 [4127]E(f326(f306(x41271,x41272,f326(f74(x41273,x41272,x41271,x41274),x41275)),x41276),f326(f306(x41271,x41273,x41275),f326(f306(x41273,x41272,x41274),x41276)))
% 149.08/148.74 [4156]E(f181(x41561,x41562,x41563,f326(f326(f326(f73(x41561,f876(x41562)),x41564),x41565),f326(f233(x41562),x41566))),f326(f326(f326(f73(x41561,f876(x41562)),f181(x41561,x41562,x41563,x41564)),x41565),f326(f233(x41562),x41566)))
% 149.08/148.74 [4158]E(f326(f138(x41581,x41582,x41583,f326(f138(x41581,x41582,x41583,x41584),x41585)),x41586),f326(f138(x41581,x41582,x41583,x41584),f326(f326(f126(x41582),x41585),x41586)))
% 149.08/148.74 [4297]E(f326(f266(x42971,x42971,x42972,x42973,f35(x42971),x42974),f326(f326(f261(x42971,x42972),x42975),x42976)),f326(f326(f261(x42971,x42973),x42975),f326(x42974,x42976)))
% 149.08/148.74 [4298]E(f326(f266(x42981,x42982,x42983,x42983,x42984,f35(x42983)),f326(f326(f261(x42981,x42983),x42985),x42986)),f326(f326(f261(x42982,x42983),f326(x42984,x42985)),x42986))
% 149.08/148.74 [4387]E(f326(f326(f150(f879(x43871,x43872),f879(x43871,x43873)),f326(f265(x43871,x43872,f879(x43871,x43873)),f326(f326(f7(x43871,f880(x43872,x43873),f880(x43872,f879(x43871,x43873))),f326(f326(f8(f880(x43873,f879(x43871,x43873)),f880(f880(x43872,x43873),f880(x43872,f879(x43871,x43873))),x43871),f8(x43873,f879(x43871,x43873),x43872)),f261(x43871,x43873))),x43874))),f326(f326(f178(x43871,x43872),x43875),x43876)),f326(f326(f178(x43871,x43873),x43875),f326(f326(f150(x43872,x43873),x43874),x43876)))
% 149.08/148.74 [3772]E(f99(x37721,x37722,x37723,f326(f326(f326(f93(x37721),x37724),x37725),x37726)),f326(f326(f326(x37723,x37724),x37725),x37726))
% 149.08/148.74 [3773]E(f100(x37731,x37732,x37733,f326(f326(f326(f93(x37731),x37734),x37735),x37736)),f326(f326(f326(x37733,x37734),x37735),x37736))
% 149.08/148.74 [3967]E(f326(f326(f74(x39671,x39672,x39673,f326(f16(x39672,x39671),x39674)),x39675),x39676),x39674)
% 149.08/148.74 [4003]E(f326(f305(x40031,x40032,x40033),f326(f305(x40034,x40031,x40035),x40036)),f326(f305(x40034,x40032,f326(f326(f8(x40031,x40032,x40034),x40033),x40035)),x40036))
% 149.08/148.74 [4009]E(f326(f326(f42(x40091,f880(x40092,a866)),f326(f305(x40093,x40091,x40094),x40095)),x40096),f326(f326(f42(x40093,f880(x40092,a866)),x40095),f326(f326(f8(x40091,f880(x40092,a866),x40093),x40096),x40094)))
% 149.08/148.74 [4010]E(f326(f326(f43(x40101,f880(x40102,a866)),f326(f305(x40103,x40101,x40104),x40105)),x40106),f326(f326(f43(x40103,f880(x40102,a866)),x40105),f326(f326(f8(x40101,f880(x40102,a866),x40103),x40106),x40104)))
% 149.08/148.74 [4011]E(f326(f326(f42(x40111,f880(x40112,a866)),x40113),f326(f326(f8(x40114,f880(x40112,a866),x40111),x40115),x40116)),f326(f326(f42(x40114,f880(x40112,a866)),f326(f305(x40111,x40114,x40116),x40113)),x40115))
% 149.08/148.74 [4012]E(f326(f326(f43(x40121,f880(x40122,a866)),x40123),f326(f326(f8(x40124,f880(x40122,a866),x40121),x40125),x40126)),f326(f326(f43(x40124,f880(x40122,a866)),f326(f305(x40121,x40124,x40126),x40123)),x40125))
% 149.08/148.74 [4069]E(f326(f326(f42(x40691,f880(x40692,a866)),x40693),f326(f326(f8(f880(x40694,a866),f880(x40692,a866),x40691),f305(x40694,x40692,x40695)),x40696)),f326(f305(x40694,x40692,x40695),f326(f326(f42(x40691,f880(x40694,a866)),x40693),x40696)))
% 149.08/148.74 [4070]E(f326(f326(f42(x40701,f880(x40702,a866)),x40703),f326(f326(f8(f880(x40704,a866),f880(x40702,a866),x40701),f280(x40704,x40702,x40705)),x40706)),f326(f280(x40704,x40702,x40705),f326(f326(f42(x40701,f880(x40704,a866)),x40703),x40706)))
% 149.08/148.74 [4071]E(f326(f326(f42(x40711,f880(x40712,a866)),x40713),f326(f326(f8(f880(x40714,a866),f880(x40712,a866),x40711),f306(x40712,x40714,x40715)),x40716)),f326(f306(x40712,x40714,x40715),f326(f326(f42(x40711,f880(x40714,a866)),x40713),x40716)))
% 149.08/148.74 [4072]E(f326(f326(f43(x40721,f880(x40722,a866)),x40723),f326(f326(f8(f880(x40724,a866),f880(x40722,a866),x40721),f306(x40722,x40724,x40725)),x40726)),f326(f306(x40722,x40724,x40725),f326(f326(f43(x40721,f880(x40724,a866)),x40723),x40726)))
% 149.08/148.74 [4164]E(f326(f138(x41641,x41642,f326(f7(x41642,x41641,x41641),x41643),x41644),f326(f165(x41642),f326(f326(f147(x41642),x41645),x41646))),f326(f326(x41643,x41645),f326(f138(x41641,x41642,f326(f7(x41642,x41641,x41641),x41643),x41644),f326(f165(x41642),x41646))))
% 149.08/148.74 [4223]E(f326(f326(f18(f879(x42231,x42232),x42232,x42233),f326(f326(f8(x42234,f880(x42232,x42233),f879(x42231,x42232)),x42235),f326(f326(f8(x42231,x42234,f879(x42231,x42232)),x42236),f260(x42231,x42232)))),f264(x42231,x42232)),f326(f265(x42231,x42232,x42233),f326(f326(f8(x42234,f880(x42232,x42233),x42231),x42235),x42236)))
% 149.08/148.74 [4230]E(f326(f138(x42301,x42302,f326(f7(x42302,x42301,x42301),x42303),f326(f138(x42301,x42302,f326(f7(x42302,x42301,x42301),x42303),x42304),f326(f165(x42302),x42305))),f326(f165(x42302),x42306)),f326(f138(x42301,x42302,f326(f7(x42302,x42301,x42301),x42303),x42304),f326(f165(x42302),f326(f326(f126(x42302),x42306),x42305))))
% 149.08/148.74 [4232]E(f326(f326(f150(f879(x42321,x42322),f879(x42323,x42322)),f326(f265(x42321,x42322,f879(x42323,x42322)),f326(f326(f8(x42323,f880(x42322,f879(x42323,x42322)),x42321),f261(x42323,x42322)),x42324))),f326(f326(f178(x42321,x42322),x42325),x42326)),f326(f326(f178(x42323,x42322),f326(f326(f150(x42321,x42323),x42324),x42325)),x42326))
% 149.08/148.74 [4280]P103(f326(f326(f240(f880(x42801,a866)),f326(f280(x42802,x42801,x42803),f326(f326(f43(x42804,f880(x42802,a866)),x42805),x42806))),f326(f326(f43(x42804,f880(x42801,a866)),x42805),f326(f326(f8(f880(x42802,a866),f880(x42801,a866),x42804),f280(x42802,x42801,x42803)),x42806))))
% 149.08/148.74 [4082]E(f326(f326(f178(x40821,x40822),f326(f326(f155(x40821,x40823),x40824),f326(f260(x40821,x40822),x40825))),f326(f326(f155(x40822,x40826),x40824),f326(f264(x40821,x40822),x40825))),f326(f326(f155(f879(x40821,x40822),f326(f326(f178(x40821,x40822),x40823),x40826)),x40824),x40825))
% 149.08/148.74 [4145]E(f326(f326(f115(f880(f879(x41451,x41452),a866)),f326(f326(f283(x41451,x41453,x41452),x41454),x41455)),f326(f326(f283(x41451,x41453,x41452),x41454),x41456)),f326(f326(f283(x41451,x41453,x41452),x41454),f326(f326(f115(f880(f879(x41453,x41452),a866)),x41455),x41456)))
% 149.08/148.74 [4243]E(f326(f326(f304(f879(x42431,x42432)),f326(f326(f261(x42431,x42432),x42433),x42434)),f326(f326(f115(f880(f879(x42431,x42432),a866)),f326(f326(f263(x42431,x42432),x42435),f326(f16(f880(x42432,a866),x42431),f326(f326(f304(x42432),x42434),x42436)))),f326(f326(f263(x42431,x42432),f326(f326(f304(x42431),x42433),x42435)),f326(f16(f880(x42432,a866),x42431),x42436)))),f326(f326(f263(x42431,x42432),f326(f326(f304(x42431),x42433),x42435)),f326(f16(f880(x42432,a866),x42431),f326(f326(f304(x42432),x42434),x42436))))
% 149.08/148.74 [4320]E(f326(f326(f106(f880(x43201,a866)),f326(f306(x43201,x43202,f326(f74(f879(x43202,x43203),x43202,x43201,f260(x43202,x43203)),x43204)),x43205)),f326(f306(x43201,x43203,f326(f74(f879(x43202,x43203),x43203,x43201,f264(x43202,x43203)),x43204)),x43206)),f326(f306(x43201,f879(x43202,x43203),x43204),f326(f326(f263(x43202,x43203),x43205),f326(f16(f880(x43203,a866),x43202),x43206))))
% 149.08/148.74 [4066]E(f326(f326(f326(f73(x40661,x40662),f326(f326(f326(f73(x40661,x40662),x40663),x40664),x40665)),x40664),x40666),f326(f326(f326(f73(x40661,x40662),x40663),x40664),x40666))
% 149.08/148.74 [4170]E(f326(f326(f115(f880(f879(x41701,x41702),a866)),f326(f326(f283(x41701,x41703,x41702),x41704),x41705)),f326(f326(f283(x41701,x41703,x41702),x41706),x41705)),f326(f326(f283(x41701,x41703,x41702),f326(f326(f115(f880(f879(x41701,x41703),a866)),x41704),x41706)),x41705))
% 149.08/148.74 [4305]E(f326(f326(f42(x43051,f880(x43052,a866)),x43053),f326(f326(f7(x43051,f880(x43054,f880(x43052,a866)),f880(x43052,a866)),f326(f326(f8(f880(x43054,a866),f880(f880(x43054,f880(x43052,a866)),f880(x43052,a866)),x43051),f42(x43054,f880(x43052,a866))),x43055)),x43056)),f326(f326(f42(x43054,f880(x43052,a866)),f326(f326(f42(x43051,f880(x43054,a866)),x43053),x43055)),x43056))
% 149.08/148.74 [4306]E(f326(f326(f43(x43061,f880(x43062,a866)),x43063),f326(f326(f7(x43061,f880(x43064,f880(x43062,a866)),f880(x43062,a866)),f326(f326(f8(f880(x43064,a866),f880(f880(x43064,f880(x43062,a866)),f880(x43062,a866)),x43061),f43(x43064,f880(x43062,a866))),x43065)),x43066)),f326(f326(f43(x43064,f880(x43062,a866)),f326(f326(f42(x43061,f880(x43064,a866)),x43063),x43065)),x43066))
% 149.08/148.74 [4357]E(f326(f265(x43571,x43572,f879(x43573,x43574)),f326(f326(f7(x43571,f880(x43572,x43574),f880(x43572,f879(x43573,x43574))),f326(f326(f8(f880(x43574,f879(x43573,x43574)),f880(f880(x43572,x43574),f880(x43572,f879(x43573,x43574))),x43571),f8(x43574,f879(x43573,x43574),x43572)),f326(f326(f8(x43573,f880(x43574,f879(x43573,x43574)),x43571),f261(x43573,x43574)),x43575))),x43576)),f266(x43571,x43573,x43572,x43574,x43575,x43576))
% 149.08/148.74 [4279]E(f326(f326(f326(f73(x42791,f876(x42792)),f184(x42791,x42792,x42793,f326(f326(f22(f880(x42791,a866)),x42794),f326(f326(f304(x42791),x42795),f190(f880(x42791,a866)))))),x42795),x42796),f326(f326(f326(f73(x42791,f876(x42792)),f184(x42791,x42792,x42793,x42794)),x42795),x42796))
% 149.08/148.74 [4382]E(f326(f305(x43821,x43822,f326(f326(f18(x43821,x43822,x43822),f326(f326(f18(x43821,x43822,f880(x43822,x43822)),f326(f326(f8(a866,f880(x43822,f880(x43822,x43822)),x43821),f101(x43822)),x43823)),x43824)),x43825)),x43826),f326(f326(f115(f880(x43822,a866)),f326(f305(x43821,x43822,x43824),f326(f326(f106(f880(x43821,a866)),x43826),f326(f246(x43821),x43823)))),f326(f305(x43821,x43822,x43825),f326(f326(f106(f880(x43821,a866)),x43826),f326(f246(x43821),f326(f326(f8(a866,a866,x43821),a321),x43823))))))
% 149.08/148.74 [4393]E(f326(f305(x43931,f879(x43932,x43933),f326(f326(f18(x43931,x43933,f879(x43932,x43933)),f326(f326(f8(x43932,f880(x43933,f879(x43932,x43933)),x43931),f261(x43932,x43933)),x43934)),x43935)),x43936),f326(f326(f263(x43932,x43933),f326(f305(x43931,x43932,x43934),x43936)),f326(f326(f8(f880(x43931,a866),f880(x43933,a866),x43932),f305(x43931,x43933,x43935)),f326(f326(f7(x43932,f880(x43931,a866),f880(x43931,a866)),f326(f326(f8(f880(x43931,a866),f880(f880(x43931,a866),f880(x43931,a866)),x43932),f106(f880(x43931,a866))),f326(f326(f8(f880(x43932,a866),f880(x43931,a866),x43932),f306(x43931,x43932,x43934)),f326(f326(f7(x43932,f880(x43932,a866),f880(x43932,a866)),f304(x43932)),f190(f880(x43932,a866)))))),x43936))))
% 149.08/148.74 [4339]E(f326(f264(x43391,x43392),f326(f266(x43393,x43391,x43394,x43392,x43395,x43396),x43397)),f326(x43396,f326(f264(x43393,x43394),x43397)))
% 149.08/148.74 [4340]E(f326(f260(x43401,x43402),f326(f266(x43403,x43401,x43404,x43402,x43405,x43406),x43407)),f326(x43405,f326(f260(x43403,x43404),x43407)))
% 149.08/148.74 [4044]E(f326(f326(f178(x40441,x40442),f326(f326(f155(x40441,x40443),x40444),x40445)),f326(f326(f155(x40442,x40446),x40444),x40447)),f326(f326(f155(f879(x40441,x40442),f326(f326(f178(x40441,x40442),x40443),x40446)),x40444),f326(f326(f261(x40441,x40442),x40445),x40447)))
% 149.08/148.74 [4112]E(f326(f326(f326(f267(x41121,x41122,x41123,x41124),x41125),x41126),x41127),f326(f326(f265(x41122,x41123,x41124),x41126),f326(x41125,x41127)))
% 149.08/148.74 [4125]E(f326(f326(f326(f267(x41251,x41252,x41253,x41254),x41255),x41256),x41257),f326(f326(x41256,f326(f260(x41252,x41253),f326(x41255,x41257))),f326(f264(x41252,x41253),f326(x41255,x41257))))
% 149.08/148.74 [4160]E(f183(x41601,x41602,f326(f326(f326(f73(x41601,f876(x41602)),x41603),x41604),f326(f233(x41602),x41605)),x41606,x41607),f183(x41601,x41602,x41603,f326(f326(f147(x41601),x41604),x41606),f326(f326(f147(x41602),x41605),x41607)))
% 149.08/148.74 [4178]E(f326(f74(x41781,x41782,x41783,x41784),f326(f74(x41785,x41781,x41783,x41786),x41787)),f326(f74(x41785,x41782,x41783,f326(f74(x41781,x41782,x41785,x41784),x41786)),x41787))
% 149.08/148.74 [4239]E(f326(f74(f876(x42391),f876(x42392),x42393,f326(f204(x42391,x42392),x42394)),f326(f326(f326(f73(x42393,f876(x42391)),x42395),x42396),f326(f233(x42391),x42397))),f326(f326(f326(f73(x42393,f876(x42392)),f326(f74(f876(x42391),f876(x42392),x42393,f326(f204(x42391,x42392),x42394)),x42395)),x42396),f326(f233(x42392),f326(x42394,x42397))))
% 149.08/148.74 [4364]E(f326(f266(x43641,x43642,x43643,x43643,x43644,f35(x43643)),f326(f266(x43641,x43641,x43645,x43643,f35(x43641),x43646),x43647)),f326(f326(f261(x43642,x43643),f326(x43644,f326(f260(x43641,x43645),x43647))),f326(x43646,f326(f264(x43641,x43645),x43647))))
% 149.08/148.74 [4365]E(f326(f266(x43651,x43651,x43652,x43653,f35(x43651),x43654),f326(f266(x43655,x43651,x43652,x43652,x43656,f35(x43652)),x43657)),f326(f326(f261(x43651,x43653),f326(x43656,f326(f260(x43655,x43652),x43657))),f326(x43654,f326(f264(x43655,x43652),x43657))))
% 149.08/148.74 [4380]E(f326(f266(x43801,x43802,x43803,x43803,x43804,f35(x43803)),f326(f266(x43805,x43801,x43803,x43803,x43806,f35(x43803)),x43807)),f326(f266(x43805,x43802,x43803,x43803,f326(f74(x43801,x43802,x43805,x43804),x43806),f35(x43803)),x43807))
% 149.08/148.74 [4381]E(f326(f266(x43811,x43811,x43812,x43813,f35(x43811),x43814),f326(f266(x43811,x43811,x43815,x43812,f35(x43811),x43816),x43817)),f326(f266(x43811,x43811,x43815,x43813,f35(x43811),f326(f74(x43812,x43813,x43815,x43814),x43816)),x43817))
% 149.08/148.74 [4390]E(f326(f266(x43901,x43902,x43903,x43903,x43904,f35(x43903)),f326(f266(x43901,x43901,x43905,x43903,f35(x43901),x43906),x43907)),f326(f266(x43902,x43902,x43905,x43903,f35(x43902),x43906),f326(f266(x43901,x43902,x43905,x43905,x43904,f35(x43905)),x43907)))
% 149.08/148.74 [4079]E(f326(f326(f283(x40791,x40792,x40793),f326(f326(f283(x40791,x40794,x40792),x40795),x40796)),x40797),f326(f326(f283(x40791,x40794,x40793),x40795),f326(f326(f283(x40794,x40792,x40793),x40796),x40797)))
% 149.08/148.74 [4151]E(f326(f326(f265(x41511,x41512,x41513),f326(f74(x41514,f880(x41512,x41513),x41511,x41515),x41516)),x41517),f326(f326(x41515,f326(x41516,f326(f260(x41511,x41512),x41517))),f326(f264(x41511,x41512),x41517)))
% 149.08/148.74 [4203]E(f326(f74(x42031,x42032,x42033,x42034),f326(f326(f326(f73(x42033,x42031),x42035),x42036),x42037)),f326(f326(f326(f73(x42033,x42032),f326(f74(x42031,x42032,x42033,x42034),x42035)),x42036),f326(x42034,x42037)))
% 149.08/148.74 [4235]E(f326(f138(x42351,x42352,f326(f7(x42352,x42351,x42351),x42353),x42354),f326(f165(x42352),f326(f326(f150(x42355,x42352),x42356),x42357))),f326(f138(x42351,x42355,f326(f7(x42355,x42351,x42351),f326(f74(x42352,f880(x42351,x42351),x42355,x42353),x42356)),x42354),f326(f165(x42355),x42357)))
% 149.08/148.74 [4179]E(f326(f326(f42(x41791,f880(f879(x41792,x41793),a866)),x41794),f326(f326(f8(f880(f879(x41795,x41793),a866),f880(f879(x41792,x41793),a866),x41791),f326(f283(x41792,x41795,x41793),x41796)),x41797)),f326(f326(f283(x41792,x41795,x41793),x41796),f326(f326(f42(x41791,f880(f879(x41795,x41793),a866)),x41794),x41797)))
% 149.08/148.74 [4326]E(f326(f326(f42(x43261,f880(f879(x43262,x43263),a866)),x43264),f326(f326(f7(x43261,f880(f879(x43265,x43263),a866),f880(f879(x43262,x43263),a866)),f326(f326(f8(f880(f879(x43262,x43265),a866),f880(f880(f879(x43265,x43263),a866),f880(f879(x43262,x43263),a866)),x43261),f283(x43262,x43265,x43263)),x43266)),x43267)),f326(f326(f283(x43262,x43265,x43263),f326(f326(f42(x43261,f880(f879(x43262,x43265),a866)),x43264),x43266)),x43267))
% 149.08/148.74 [4327]E(f326(f138(x43271,x43272,f326(f326(f7(x43271,f880(x43272,x43273),f880(x43272,x43271)),f326(f326(f8(f880(x43273,x43271),f880(f880(x43272,x43273),f880(x43272,x43271)),x43271),f8(x43273,x43271,x43272)),x43274)),x43275),x43276),x43277),f326(f138(x43271,x43273,x43274,x43276),f326(f326(f150(x43272,x43273),x43275),x43277)))
% 149.08/148.74 [4391]E(f326(f326(f43(x43911,f880(x43912,a866)),x43913),f326(f326(f8(f880(x43914,f880(x43912,a866)),f880(x43912,a866),x43911),f326(f43(x43914,f880(x43912,a866)),x43915)),f326(f326(f7(x43911,f880(x43914,f880(x43912,a866)),f880(x43914,f880(x43912,a866))),f326(f326(f8(f880(f880(x43912,a866),f880(x43912,a866)),f880(f880(x43914,f880(x43912,a866)),f880(x43914,f880(x43912,a866))),x43911),f8(f880(x43912,a866),f880(x43912,a866),x43914)),f326(f326(f8(f880(x43912,a866),f880(f880(x43912,a866),f880(x43912,a866)),x43911),f115(f880(x43912,a866))),x43916))),x43917))),f326(f326(f115(f880(x43912,a866)),f326(f326(f43(x43911,f880(x43912,a866)),x43913),x43916)),f326(f326(f43(x43914,f880(x43912,a866)),x43915),x43917)))
% 149.08/148.74 [4392]E(f326(f326(f42(x43921,f880(x43922,a866)),x43923),f326(f326(f8(f880(x43924,f880(x43922,a866)),f880(x43922,a866),x43921),f326(f42(x43924,f880(x43922,a866)),x43925)),f326(f326(f7(x43921,f880(x43924,f880(x43922,a866)),f880(x43924,f880(x43922,a866))),f326(f326(f8(f880(f880(x43922,a866),f880(x43922,a866)),f880(f880(x43924,f880(x43922,a866)),f880(x43924,f880(x43922,a866))),x43921),f8(f880(x43922,a866),f880(x43922,a866),x43924)),f326(f326(f8(f880(x43922,a866),f880(f880(x43922,a866),f880(x43922,a866)),x43921),f106(f880(x43922,a866))),x43926))),x43927))),f326(f326(f106(f880(x43922,a866)),f326(f326(f42(x43921,f880(x43922,a866)),x43923),x43926)),f326(f326(f42(x43924,f880(x43922,a866)),x43925),x43927)))
% 149.08/148.74 [4385]E(f202(x43851,x43852,f326(f326(f326(x43853,x43854),x43855),x43856),f326(f326(f7(x43851,f879(a104,a104),f880(a104,f874(x43852))),f326(f326(f7(x43851,a104,f880(f879(a104,a104),f880(a104,f874(x43852)))),f326(f326(f7(x43851,a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(x43852))))),x43857),x43854)),x43855)),x43856)),f326(f326(f326(f214(x43851,x43852,x43853,x43857),x43854),x43855),x43856))
% 149.08/148.74 [4398]E(f203(x43981,x43982,f326(f326(f326(x43983,x43984),x43985),x43986),f326(f326(f7(x43981,f879(a104,a104),f880(a104,f874(x43982))),f326(f326(f7(x43981,a104,f880(f879(a104,a104),f880(a104,f874(x43982)))),f326(f326(f7(x43981,a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(x43982))))),x43987),x43984)),x43985)),x43986)),f216(x43981,x43982,x43983,x43987,x43984,x43985,x43986))
% 149.08/148.74 [4389]E(f200(x43891,x43892,f326(f326(f326(x43893,x43894),x43895),x43896),f326(f326(f7(x43891,f879(a104,a104),f880(a104,f874(f876(x43892)))),f326(f326(f7(x43891,a104,f880(f879(a104,a104),f880(a104,f874(f876(x43892))))),f326(f326(f7(x43891,a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(f876(x43892)))))),x43897),x43894)),x43895)),x43896)),f326(f326(f326(f210(x43891,x43892,x43893,x43897),x43894),x43895),x43896))
% 149.08/148.74 [4400]E(f201(x44001,x44002,f326(f326(f326(x44003,x44004),x44005),x44006),f326(f326(f7(x44001,f879(a104,a104),f880(a104,f874(f876(x44002)))),f326(f326(f7(x44001,a104,f880(f879(a104,a104),f880(a104,f874(f876(x44002))))),f326(f326(f7(x44001,a104,f880(a104,f880(f879(a104,a104),f880(a104,f874(f876(x44002)))))),x44007),x44004)),x44005)),x44006)),f212(x44001,x44002,x44003,x44007,x44004,x44005,x44006))
% 149.08/148.74 [4299]E(f326(f266(x42991,x42992,x42993,x42994,x42995,x42996),f326(f326(f261(x42991,x42993),x42997),x42998)),f326(f326(f261(x42992,x42994),f326(x42995,x42997)),f326(x42996,x42998)))
% 149.08/148.74 [4402]E(f326(f326(f150(f879(x44021,x44022),f879(x44023,x44024)),f326(f265(x44021,x44022,f879(x44023,x44024)),f326(f326(f7(x44021,f880(x44022,x44024),f880(x44022,f879(x44023,x44024))),f326(f326(f8(f880(x44024,f879(x44023,x44024)),f880(f880(x44022,x44024),f880(x44022,f879(x44023,x44024))),x44021),f8(x44024,f879(x44023,x44024),x44022)),f326(f326(f8(x44023,f880(x44024,f879(x44023,x44024)),x44021),f261(x44023,x44024)),x44025))),x44026))),f326(f326(f178(x44021,x44022),x44027),x44028)),f326(f326(f178(x44023,x44024),f326(f326(f150(x44021,x44023),x44025),x44027)),f326(f326(f150(x44022,x44024),x44026),x44028)))
% 149.08/148.74 [4406]E(f326(f326(f150(f879(x44061,x44062),x44063),f326(f265(x44061,x44062,x44063),f326(f326(f8(f880(x44062,f879(x44061,x44064)),f880(x44062,x44063),x44061),f326(f8(f879(x44061,x44064),x44063,x44062),x44065)),f326(f326(f7(x44061,f880(x44062,x44064),f880(x44062,f879(x44061,x44064))),f326(f326(f8(f880(x44064,f879(x44061,x44064)),f880(f880(x44062,x44064),f880(x44062,f879(x44061,x44064))),x44061),f8(x44064,f879(x44061,x44064),x44062)),f261(x44061,x44064))),x44066)))),f326(f326(f178(x44061,x44062),x44067),x44068)),f326(f326(f150(f879(x44061,x44064),x44063),x44065),f326(f326(f178(x44061,x44064),x44067),f326(f326(f150(x44062,x44064),x44066),x44068))))
% 149.08/148.74 [4331]E(f326(f326(f150(f879(x43311,x43312),x43313),f326(f265(x43311,x43312,x43313),f326(f326(f8(f880(x43312,f879(x43314,x43312)),f880(x43312,x43313),x43311),f326(f8(f879(x43314,x43312),x43313,x43312),x43315)),f326(f326(f8(x43314,f880(x43312,f879(x43314,x43312)),x43311),f261(x43314,x43312)),x43316)))),f326(f326(f178(x43311,x43312),x43317),x43318)),f326(f326(f150(f879(x43314,x43312),x43313),x43315),f326(f326(f178(x43314,x43312),f326(f326(f150(x43311,x43314),x43316),x43317)),x43318)))
% 149.08/148.74 [4290]E(f326(f326(f265(x42901,x42902,x42903),f326(f326(f8(f880(x42902,f879(x42904,x42905)),f880(x42902,x42903),x42901),f326(f8(f879(x42904,x42905),x42903,x42902),f326(f265(x42904,x42905,x42903),x42906))),x42907)),x42908),f326(f326(f265(x42904,x42905,x42903),x42906),f326(f326(f265(x42901,x42902,f879(x42904,x42905)),x42907),x42908)))
% 149.08/148.74 [4407]E(f326(f326(f42(f879(x44071,x44072),f880(f879(x44073,x44074),a866)),f326(f326(f263(x44071,x44072),x44075),f326(f16(f880(x44072,a866),x44071),x44076))),f326(f265(x44071,x44072,f880(f879(x44073,x44074),a866)),f326(f326(f7(x44071,f880(x44072,f880(x44073,f880(x44074,a866))),f880(x44072,f880(f879(x44073,x44074),a866))),f326(f326(f8(f880(f880(x44073,f880(x44074,a866)),f880(f879(x44073,x44074),a866)),f880(f880(x44072,f880(x44073,f880(x44074,a866))),f880(x44072,f880(f879(x44073,x44074),a866))),x44071),f8(f880(x44073,f880(x44074,a866)),f880(f879(x44073,x44074),a866),x44072)),f326(f326(f8(f880(x44073,a866),f880(f880(x44073,f880(x44074,a866)),f880(f879(x44073,x44074),a866)),x44071),f263(x44073,x44074)),x44077))),f326(f326(f8(f880(x44074,a866),f880(x44073,f880(x44074,a866)),x44072),f16(f880(x44074,a866),x44073)),x44078)))),f326(f326(f263(x44073,x44074),f326(f326(f42(x44071,f880(x44073,a866)),x44075),x44077)),f326(f16(f880(x44074,a866),x44073),f326(f326(f42(x44072,f880(x44074,a866)),x44076),x44078))))
% 149.08/148.74 [4345]E(f326(f326(f267(x43451,x43452,x43453,x43454),f326(f326(f267(x43451,x43455,x43456,f879(x43452,x43453)),x43457),x43458)),x43459),f326(f326(f267(x43451,x43455,x43456,x43454),x43457),f326(f326(f7(x43455,f880(x43452,f880(x43453,x43454)),f880(x43456,x43454)),f326(f326(f8(f880(x43456,f879(x43452,x43453)),f880(f880(x43452,f880(x43453,x43454)),f880(x43456,x43454)),x43455),f267(x43456,x43452,x43453,x43454)),x43458)),x43459)))
% 149.08/148.74 [4377]E(f326(f74(f879(x43771,x43772),f879(x43773,x43774),f879(x43775,x43776),f266(x43771,x43773,x43772,x43774,x43777,x43778)),f266(x43775,x43771,x43776,x43772,x43779,x437710)),f266(x43775,x43773,x43776,x43774,f326(f74(x43771,x43773,x43775,x43777),x43779),f326(f74(x43772,x43774,x43776,x43778),x437710)))
% 149.08/148.74 [4383]E(f326(f266(x43831,x43832,x43833,x43834,x43835,x43836),f326(f266(x43837,x43831,x43838,x43833,x43839,x438310),x438311)),f326(f266(x43837,x43832,x43838,x43834,f326(f74(x43831,x43832,x43837,x43835),x43839),f326(f74(x43833,x43834,x43838,x43836),x438310)),x438311))
% 149.08/148.74 [6448]P4(a5000)+P103(f326(f326(f328(f879(a869,a868)),a661),f326(f168(f879(a869,a868)),a27)))
% 149.08/148.74 [8453]P4(a5000)+~P103(f326(f326(f265(a869,a868,a866),f326(f16(f880(a868,a866),a869),a25)),a661))
% 149.08/148.74 [4562]~P95(x45621)+E(f92(x45621),a323)
% 149.08/148.74 [4563]~P25(x45631)+P25(f876(x45631))
% 149.08/148.74 [4564]~P58(x45641)+P58(f876(x45641))
% 149.08/148.74 [4567]~P140(x45671)+~E(f79(x45671),f2(x45671))
% 149.08/148.74 [4569]~E(x45691,f2(a104))+E(f326(a20,x45691),f2(a1))
% 149.08/148.74 [4570]~E(x45701,f2(a1))+E(f83(a1,x45701),f2(a1))
% 149.08/148.74 [4577]~P142(x45771)+P30(x45771,f2(x45771))
% 149.08/148.74 [4579]~P105(x45791)+P28(x45791,f118(x45791))
% 149.08/148.74 [4589]P103(x45891)+P103(f326(a321,x45891))
% 149.08/148.74 [4632]~P142(x46321)+~P30(x46321,f79(x46321))
% 149.08/148.74 [4678]~P103(x46781)+~P103(f326(a321,x46781))
% 149.08/148.74 [4701]E(f326(a109,x47011),f2(a872))+~P103(f326(a196,x47011))
% 149.08/148.74 [4765]~P69(x47651)+P12(x47651,x47651,f82(x47651))
% 149.08/148.74 [4766]~P63(x47661)+P11(x47661,x47661,f115(x47661))
% 149.08/148.74 [4767]~P100(x47671)+P11(x47671,x47671,f106(x47671))
% 149.08/148.74 [4768]~P96(x47681)+P11(x47681,x47681,f82(x47681))
% 149.08/148.74 [4769]~P105(x47691)+P11(x47691,x47691,f238(x47691))
% 149.08/148.74 [4770]~P105(x47701)+P11(x47701,x47701,f239(x47701))
% 149.08/148.74 [4574]~E(x45741,f2(a872))+E(f326(f105(a1),x45741),f2(a1))
% 149.08/148.74 [4582]~P93(x45821)+E(f326(f108(x45821),a84),f2(x45821))
% 149.08/148.74 [4585]~E(f600(x45851),f2(a872))+E(f326(f162(a872),x45851),f2(a872))
% 149.08/148.74 [4586]~P106(x45861)+E(f242(x45861,f240(x45861)),f238(x45861))
% 149.08/148.74 [4587]~P106(x45871)+E(f243(x45871,f240(x45871)),f239(x45871))
% 149.08/148.74 [4588]~P89(x45881)+E(f83(x45881,f2(x45881)),f2(x45881))
% 149.08/148.74 [4597]~P142(x45971)+E(f326(f105(x45971),f79(a872)),f79(x45971))
% 149.08/148.74 [4598]~P142(x45981)+E(f326(f105(x45981),f2(a872)),f2(x45981))
% 149.08/148.74 [4599]~P138(x45991)+E(f326(f107(x45991),f79(a1)),f79(x45991))
% 149.08/148.74 [4600]~P138(x46001)+E(f326(f107(x46001),f2(a1)),f2(x46001))
% 149.08/148.74 [4601]E(x46011,f2(a872))+~E(f326(f105(a1),x46011),f2(a1))
% 149.08/148.74 [4626]~P86(x46261)+E(f326(f80(x46261),f190(x46261)),f249(x46261))
% 149.08/148.74 [4627]~P71(x46271)+E(f326(f80(x46271),f2(x46271)),f2(x46271))
% 149.08/148.74 [4628]~P86(x46281)+E(f326(f80(x46281),f249(x46281)),f190(x46281))
% 149.08/148.74 [4629]~P109(x46291)+E(f326(f76(x46291),f79(x46291)),f79(x46291))
% 149.08/148.74 [4630]~P84(x46301)+E(f326(f76(x46301),f2(x46301)),f2(x46301))
% 149.08/148.74 [4631]~P81(x46311)+E(f326(f162(x46311),f118(x46311)),f2(x46311))
% 149.08/148.74 [4652]~P36(x46521)+P39(f326(f168(a1),x46521))
% 149.08/148.74 [4683]~P93(x46831)+E(f326(f80(x46831),f79(x46831)),f326(f108(x46831),a102))
% 149.08/148.74 [4700]~P93(x47001)+P30(x47001,f326(f108(x47001),a84))
% 149.08/148.74 [4717]~P58(x47171)+E(f326(f168(x47171),f56(x47171)),f249(f880(x47171,a866)))
% 149.08/148.74 [4727]P36(x47271)+~P39(f326(f168(a1),x47271))
% 149.08/148.74 [4728]~P58(x47281)+P103(f326(f133(x47281),f56(x47281)))
% 149.08/148.74 [4771]E(f326(f105(a1),f326(a109,x47711)),x47711)+P103(f326(a196,x47711))
% 149.08/148.74 [4788]~P106(x47881)+E(f94(x47881,x47881,f5(x47881)),f95(x47881))
% 149.08/148.74 [4841]~P112(x48411)+E(f252(x48411,f79(x48411),f82(x48411)),f251(x48411))
% 149.08/148.74 [4871]~P93(x48711)+~P30(x48711,f326(f108(x48711),a102))
% 149.08/148.74 [4882]E(f326(a28,x48821),f193(a868))+P103(f326(a25,f326(a26,x48821)))
% 149.08/148.74 [5012]E(f326(f76(a1),x50121),x50121)+P103(f326(f326(f241(a1),x50121),f2(a1)))
% 149.08/148.74 [5033]~E(f326(a109,x50331),f2(a872))+P103(f326(f326(f240(a1),x50331),f2(a1)))
% 149.08/148.74 [5093]~P103(f326(a196,x50931))+P103(f326(f326(f241(a1),x50931),f2(a1)))
% 149.08/148.74 [5133]~P108(x51331)+P103(f326(f326(f240(x51331),f2(x51331)),f79(x51331)))
% 149.08/148.74 [5134]~P138(x51341)+P103(f326(f326(f328(x51341),f79(x51341)),f114(x51341)))
% 149.08/148.74 [5135]~P142(x51351)+P103(f326(f326(f328(x51351),f79(x51351)),f188(x51351)))
% 149.08/148.74 [5136]~P138(x51361)+P103(f326(f326(f328(x51361),f2(x51361)),f114(x51361)))
% 149.08/148.74 [5137]~P142(x51371)+P103(f326(f326(f328(x51371),f2(x51371)),f188(x51371)))
% 149.08/148.74 [5138]~P108(x51381)+P103(f326(f326(f241(x51381),f2(x51381)),f79(x51381)))
% 149.08/148.74 [5141]E(f326(f233(a868),f771(x51411)),f326(a28,x51411))+~P103(f326(a25,f326(a26,x51411)))
% 149.08/148.74 [5142]E(f326(f233(a868),f835(x51421)),f326(a28,x51421))+~P103(f326(a25,f326(a26,x51421)))
% 149.08/148.74 [5197]E(x51971,f2(a872))+~P103(f326(f326(f240(a872),x51971),f2(a872)))
% 149.08/148.74 [5241]E(f326(a109,x52411),f2(a872))+~P103(f326(f326(f240(a1),x52411),f2(a1)))
% 149.08/148.74 [5304]P103(f326(a196,x53041))+~P103(f326(f326(f241(a1),x53041),f2(a1)))
% 149.08/148.74 [5309]~P105(x53091)+P12(x53091,f873(x53091),f144(x53091,x53091,f5(x53091)))
% 149.08/148.74 [5327]P39(x53271)+~P103(f326(f326(f240(a1),f2(a1)),f344(x53271)))
% 149.08/148.74 [5333]E(f326(f76(a1),x53331),f326(f80(a1),x53331))+~P103(f326(f326(f241(a1),x53331),f2(a1)))
% 149.08/148.74 [5507]~P108(x55071)+~P103(f326(f326(f240(x55071),f79(x55071)),f2(x55071)))
% 149.08/148.74 [5508]~P108(x55081)+~P103(f326(f326(f241(x55081),f79(x55081)),f2(x55081)))
% 149.08/148.74 [5518]~E(x55181,f2(a872))+P103(f326(f326(f240(a1),f326(f105(a1),x55181)),f2(a1)))
% 149.08/148.74 [5519]~E(x55191,f2(a1))+P103(f326(f326(f241(a1),f326(f76(a1),x55191)),f79(a1)))
% 149.08/148.74 [5637]~P81(x56371)+E(f138(x56371,x56371,f81(x56371),f2(x56371)),f162(x56371))
% 149.08/148.74 [5808]~P101(x58081)+P21(a872,x58081,f105(x58081),f249(f880(a872,a866)))
% 149.08/148.74 [6006]E(x60061,f2(a872))+~P103(f326(f326(f240(a1),f326(f105(a1),x60061)),f2(a1)))
% 149.08/148.74 [6007]E(x60071,f2(a1))+~P103(f326(f326(f241(a1),f326(f76(a1),x60071)),f79(a1)))
% 149.08/148.74 [6803]~P103(f326(f326(f241(a1),x68031),f2(a1)))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x68031),x68031)),f2(a1)))
% 149.08/148.74 [7352]P103(f326(f326(f241(a1),x73521),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x73521),x73521)),f2(a1)))
% 149.08/148.74 [7906]E(x79061,f326(a3,f2(a872)))+P103(f326(f326(f241(a872),f326(f326(f22(a872),f326(a19,x79061)),f326(a117,f2(a872)))),f326(a19,x79061)))
% 149.08/148.74 [8676]~P103(f326(f326(f241(a1),x86761),f2(a1)))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86761),x86761)),a102)),f2(a1)))
% 149.08/148.74 [8763]~P103(f326(f326(f241(a1),x87631),f2(a1)))+P103(f326(f326(f241(a1),f326(f326(f81(a1),f326(f326(f81(a1),f79(a1)),x87631)),x87631)),f2(a1)))
% 149.08/148.74 [9087]P103(f326(f326(f241(a1),x90871),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90871),x90871)),a102)),f2(a1)))
% 149.08/148.74 [9150]P103(f326(f326(f241(a1),x91501),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),f326(f326(f81(a1),f79(a1)),x91501)),x91501)),f2(a1)))
% 149.08/148.74 [4671]~E(a84,x46711)+E(f326(f326(f81(a1),x46711),x46711),a84)
% 149.08/148.74 [4672]~E(x46721,a84)+E(f326(f326(f81(a1),x46721),x46721),a84)
% 149.08/148.74 [4686]E(x46861,f2(a1))+E(f326(f326(f39(a1),x46861),x46861),f79(a1))
% 149.08/148.74 [4817]E(x48171,a84)+~E(f326(f326(f81(a1),x48171),x48171),a84)
% 149.08/148.74 [4818]E(a84,x48181)+~E(f326(f326(f81(a1),x48181),x48181),a84)
% 149.08/148.74 [4831]~P26(x48311)+E(f40(x48311,f190(f880(x48311,a866))),f190(x48311))
% 149.08/148.74 [4832]~P26(x48321)+E(f40(x48321,f249(f880(x48321,a866))),f249(x48321))
% 149.08/148.74 [4833]~P26(x48331)+E(f41(x48331,f190(f880(x48331,a866))),f249(x48331))
% 149.08/148.74 [4834]~P26(x48341)+E(f41(x48341,f249(f880(x48341,a866))),f190(x48341))
% 149.08/148.74 [4835]~P105(x48351)+E(f135(x48351,f190(f880(x48351,a866))),f118(x48351))
% 149.08/148.74 [4971]E(x49711,f2(a872))+P103(f326(f326(f241(a872),f2(a872)),x49711))
% 149.08/148.74 [4990]~P27(x49901)+P103(f326(f326(f240(a1),f2(a1)),x49901))
% 149.08/148.74 [5024]~E(f326(f108(a872),x50241),f2(a872))+P103(f326(f326(f240(a1),x50241),a84))
% 149.08/148.74 [5029]P39(x50291)+P103(f326(f326(f328(a1),f344(x50291)),x50291))
% 149.08/148.74 [5030]E(x50301,f326(a3,f2(a872)))+P103(f326(f326(f240(a104),f79(a104)),x50301))
% 149.08/148.74 [5067]P103(f326(a196,x50671))+P103(f326(f326(f240(a1),f2(a1)),x50671))
% 149.08/148.74 [5115]E(f326(f105(a1),f326(a109,x51151)),f2(a1))+P103(f326(f326(f240(a1),f2(a1)),x51151))
% 149.08/148.74 [5183]E(f326(f105(a1),f326(f108(a872),x51831)),f326(f108(a1),x51831))+P103(f326(a196,f326(f108(a1),x51831)))
% 149.08/148.74 [5203]E(f326(f108(a872),x52031),f2(a872))+~P103(f326(a196,f326(f108(a1),x52031)))
% 149.08/148.74 [5204]E(f326(f108(a872),x52041),f2(a872))+~P103(f326(f326(f240(a1),x52041),a84))
% 149.08/148.74 [5238]P27(x52381)+~P103(f326(f326(f240(a1),f2(a1)),x52381))
% 149.08/148.74 [5312]E(f326(a117,f836(x53121)),x53121)+~P103(f326(f326(f241(a872),f2(a872)),x53121))
% 149.08/148.74 [5321]E(f326(a117,f326(f108(a872),x53211)),f79(a872))+~P103(f326(a196,f326(f108(a1),x53211)))
% 149.08/148.74 [5329]E(f326(f105(a1),f429(x53291)),x53291)+~P103(f326(f326(f241(a1),f2(a1)),x53291))
% 149.08/148.74 [5337]~E(x53371,f326(a3,f2(a872)))+~P103(f326(f326(f240(a104),f79(a104)),x53371))
% 149.08/148.74 [5344]E(f326(f105(a1),f326(f108(a872),x53441)),f2(a1))+~P103(f326(a196,f326(f108(a1),x53441)))
% 149.08/148.74 [5370]E(f326(f162(a872),x53701),f2(a872))+P103(f326(f326(f328(a872),f600(x53701)),f326(f168(a872),x53701)))
% 149.08/148.74 [5391]E(f326(f105(a1),f326(a109,x53911)),x53911)+~P103(f326(f326(f240(a1),f2(a1)),x53911))
% 149.08/148.74 [5400]~P103(f326(a196,x54001))+~P103(f326(f326(f240(a1),f2(a1)),x54001))
% 149.08/148.74 [5500]E(f326(f326(f81(a872),f79(a872)),f326(f108(a872),x55001)),f79(a872))+~P103(f326(f326(f241(a1),x55001),a84))
% 149.08/148.74 [5558]E(x55581,f2(a872))+~P103(f326(f326(f241(a872),x55581),f326(a117,f2(a872))))
% 149.08/148.74 [5596]E(f326(f326(f22(a872),f326(f108(a872),x55961)),f79(a872)),f2(a872))+~P103(f326(f326(f240(a1),x55961),a84))
% 149.08/148.74 [5597]E(f326(f326(f81(a872),f326(f108(a872),x55971)),f79(a872)),f79(a872))+~P103(f326(f326(f241(a1),x55971),a84))
% 149.08/148.74 [5607]~P39(x56071)+E(f326(f38(a872),f326(f305(a1,a872,a109),x56071)),f326(f38(a1),x56071))
% 149.08/148.74 [5638]~P105(x56381)+E(f242(x56381,f326(f7(x56381,x56381,a866),f240(x56381))),f239(x56381))
% 149.08/148.74 [5639]~P105(x56391)+E(f243(x56391,f326(f7(x56391,x56391,a866),f240(x56391))),f238(x56391))
% 149.08/148.74 [5649]E(f45(a872,f326(a117,f2(a872)),f326(f108(a872),x56491)),f326(a117,f2(a872)))+~P103(f326(a196,f326(f108(a1),x56491)))
% 149.08/148.74 [5658]~P103(f326(f326(f241(a1),f2(a1)),x56581))+P103(f326(f326(f240(a1),f79(a1)),x56581))
% 149.08/148.74 [5659]P103(f326(f326(f241(a1),f2(a1)),x56591))+~P103(f326(f326(f240(a1),f79(a1)),x56591))
% 149.08/148.74 [5670]E(f326(a117,f326(f326(f22(a872),x56701),f79(a872))),x56701)+~P103(f326(f326(f241(a872),f2(a872)),x56701))
% 149.08/148.74 [5727]P103(f326(f326(f241(a872),f2(a872)),f429(x57271)))+~P103(f326(f326(f241(a1),f2(a1)),x57271))
% 149.08/148.74 [5786]E(f45(a1,f326(f108(a1),a102),x57861),f326(f326(f22(a1),x57861),f79(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x57861))
% 149.08/148.74 [5820]~P103(f326(f326(f241(a1),a84),x58201))+P103(f326(f326(f241(a872),f2(a872)),f326(f108(a872),x58201)))
% 149.08/148.74 [5870]P103(f326(f326(f241(a872),f2(a872)),f326(a109,x58701)))+~P103(f326(f326(f241(a1),f2(a1)),x58701))
% 149.08/148.74 [5922]~P103(f326(f326(f241(a872),f2(a872)),x59221))+P103(f326(f326(f241(a1),f2(a1)),f326(f105(a1),x59221)))
% 149.08/148.74 [5960]~P103(f326(f326(f241(a872),f2(a872)),f326(a109,x59601)))+P103(f326(f326(f241(a1),f2(a1)),x59601))
% 149.08/148.74 [5975]~P39(x59751)+E(f326(f305(a872,a1,f105(a1)),f326(f305(a1,a872,a109),x59751)),x59751)
% 149.08/148.74 [5987]P103(f326(f326(f241(a1),a84),x59871))+~P103(f326(f326(f241(a872),f2(a872)),f326(f108(a872),x59871)))
% 149.08/148.74 [6035]~P58(x60351)+E(f326(f326(f147(f876(x60351)),f193(x60351)),f326(f326(f150(x60351,f876(x60351)),f233(x60351)),f56(x60351))),f56(f876(x60351)))
% 149.08/148.74 [6046]P103(f326(f326(f241(a872),f2(a872)),x60461))+~P103(f326(f326(f241(a1),f2(a1)),f326(f105(a1),x60461)))
% 149.08/148.74 [6161]E(f326(f305(a872,a1,f105(a1)),f326(f247(a872),f326(a109,x61611))),f326(f296(a1,f2(a1)),x61611))+~P103(f326(f326(f240(a1),f2(a1)),x61611))
% 149.08/148.74 [6175]~P108(x61751)+P103(f326(f326(f241(x61751),f2(x61751)),f326(f326(f81(x61751),f79(x61751)),f79(x61751))))
% 149.08/148.74 [6226]P103(f326(f326(f241(a872),f326(a117,f2(a872))),f326(a109,x62261)))+~P103(f326(f326(f241(a1),f79(a1)),x62261))
% 149.08/148.74 [6321]E(x63211,f2(a1))+P103(f326(f49(f2(a1),x63211),f326(f326(f261(a1,a1),f2(a1)),f2(a1))))
% 149.08/148.74 [6487]~P103(f326(f326(f241(a872),f326(a117,f2(a872))),f326(a109,x64871)))+P103(f326(f326(f241(a1),f79(a1)),x64871))
% 149.08/148.74 [6915]~P113(x69151)+P37(x69151,f326(f246(f879(x69151,x69151)),f326(f265(x69151,x69151,a866),f241(x69151))))
% 149.08/148.74 [5545]E(f326(f108(a872),f326(f326(f22(a1),x55451),a102)),f326(a117,f326(f108(a872),x55451)))+P103(f326(a196,f326(f108(a1),x55451)))
% 149.08/148.74 [5561]~P36(x55611)+E(f326(f326(f150(a872,a1),f105(a1)),f326(f326(f150(a1,a872),a109),x55611)),x55611)
% 149.08/148.74 [5676]E(f326(f80(a1),f326(f105(a1),f326(a117,f430(x56761)))),x56761)+~P103(f326(f326(f241(a1),x56761),f2(a1)))
% 149.08/148.74 [5686]E(f326(f326(f81(a872),f79(a872)),f326(f108(a872),x56861)),f326(f108(a872),f326(f326(f22(a1),x56861),a102)))+P103(f326(f326(f241(a1),x56861),a84))
% 149.08/148.74 [5729]E(f326(f326(f39(a1),f326(f108(a1),a102)),x57291),f326(f108(a1),a102))+~P103(f326(f326(f241(a1),f2(a1)),x57291))
% 149.08/148.74 [5816]E(f326(f326(f22(a872),f326(f108(a872),x58161)),f79(a872)),f326(f108(a872),f326(f326(f81(a1),x58161),a102)))+P103(f326(f326(f240(a1),x58161),a84))
% 149.08/148.74 [5817]E(f326(f326(f81(a872),f326(f108(a872),x58171)),f79(a872)),f326(f108(a872),f326(f326(f22(a1),x58171),a102)))+P103(f326(f326(f241(a1),x58171),a84))
% 149.08/148.74 [5858]E(f326(a109,f326(f326(f81(a1),f79(a1)),x58581)),f326(a117,f326(a109,x58581)))+~P103(f326(f326(f240(a1),f2(a1)),x58581))
% 149.08/148.74 [5894]E(f326(a117,f326(f326(f22(a872),x58941),f326(a117,f2(a872)))),x58941)+~P103(f326(f326(f241(a872),f2(a872)),x58941))
% 149.08/148.74 [6106]E(f45(a872,f326(a117,f2(a872)),f326(f108(a872),x61061)),f326(a109,f45(a1,f79(a1),f326(f108(a1),x61061))))+P103(f326(a196,f326(f108(a1),x61061)))
% 149.08/148.74 [6151]~P103(f326(f326(f240(a1),a84),x61511))+P103(f326(f326(f240(a1),a84),f326(f326(f81(a1),x61511),x61511)))
% 149.08/148.74 [6152]~P103(f326(f326(f241(a1),a102),x61521))+P103(f326(f326(f240(a1),a102),f326(f326(f81(a1),x61521),x61521)))
% 149.08/148.74 [6153]~P103(f326(f326(f241(a1),a84),x61531))+P103(f326(f326(f241(a1),a84),f326(f326(f81(a1),x61531),x61531)))
% 149.08/148.74 [6154]~P103(f326(f326(f241(a1),a102),x61541))+P103(f326(f326(f241(a1),a102),f326(f326(f81(a1),x61541),x61541)))
% 149.08/148.74 [6155]~P103(f326(f326(f92(a1),a84),x61551))+P103(f326(f326(f92(a1),a84),f326(f326(f81(a1),x61551),x61551)))
% 149.08/148.74 [6334]~P103(f326(f62(x63341),f249(f880(x63341,a866))))+P103(f326(f62(f876(x63341)),f249(f880(f876(x63341),a866))))
% 149.08/148.74 [6420]~P103(f326(f326(f240(a1),f2(a1)),x64201))+P103(f326(f326(f241(a1),f2(a1)),f326(f326(f81(a1),f79(a1)),x64201)))
% 149.08/148.74 [6427]E(f326(f260(a1,a1),f47(f79(a1),f326(f108(a1),x64271))),f326(f326(f39(a1),f79(a1)),f326(f108(a1),x64271)))+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x64271)))
% 149.08/148.74 [6447]E(f326(f264(a1,a1),f47(f79(a1),f326(f108(a1),x64471))),f45(a1,f79(a1),f326(f108(a1),x64471)))+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x64471)))
% 149.08/148.74 [6459]P103(f326(f62(x64591),f249(f880(x64591,a866))))+~P103(f326(f62(f876(x64591)),f249(f880(f876(x64591),a866))))
% 149.08/148.74 [6488]P103(f326(f326(f240(a1),a84),x64881))+~P103(f326(f326(f240(a1),a84),f326(f326(f81(a1),x64881),x64881)))
% 149.08/148.74 [6489]P103(f326(f326(f241(a1),a84),x64891))+~P103(f326(f326(f241(a1),a84),f326(f326(f81(a1),x64891),x64891)))
% 149.08/148.74 [6490]P103(f326(f326(f241(a1),a102),x64901))+~P103(f326(f326(f240(a1),a102),f326(f326(f81(a1),x64901),x64901)))
% 149.08/148.74 [6491]P103(f326(f326(f241(a1),a102),x64911))+~P103(f326(f326(f241(a1),a102),f326(f326(f81(a1),x64911),x64911)))
% 149.08/148.74 [6492]P103(f326(f326(f92(a1),a84),x64921))+~P103(f326(f326(f92(a1),a84),f326(f326(f81(a1),x64921),x64921)))
% 149.08/148.74 [6807]~P103(f326(f62(x68071),f249(f880(x68071,a866))))+P103(f326(f326(f241(a872),f2(a872)),f326(f38(x68071),f249(f880(x68071,a866)))))
% 149.08/148.74 [7394]P103(f326(f62(a872),x73941))+~P103(f326(f62(a1),f326(f305(a872,a1,f105(a1)),x73941)))
% 149.08/148.74 [8796]P20(a867,a881,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),f326(a26,x87961)),f197(f326(a26,x87961)))),f190(f880(f871(a867),a866))))+~P103(f326(f326(f328(a869),x87961),f180(a869,a868,a28)))
% 149.08/148.74 [5475]~E(a102,x54751)+E(f326(f326(f22(a1),f326(f326(f81(a1),x54751),x54751)),a102),a102)
% 149.08/148.74 [5476]~E(x54761,a102)+E(f326(f326(f22(a1),f326(f326(f81(a1),x54761),x54761)),a102),a102)
% 149.08/148.74 [5980]E(x59801,a102)+~E(f326(f326(f22(a1),f326(f326(f81(a1),x59801),x59801)),a102),a102)
% 149.08/148.74 [5981]E(a102,x59811)+~E(f326(f326(f22(a1),f326(f326(f81(a1),x59811),x59811)),a102),a102)
% 149.08/148.74 [6389]~E(f326(f108(a872),x63891),f2(a872))+P103(f326(a196,f326(f108(a1),f326(f326(f81(a1),x63891),a102))))
% 149.08/148.74 [6734]~P103(f326(a196,f326(f108(a1),x67341)))+P103(f326(a196,f326(f108(a1),f326(f326(f81(a1),x67341),x67341))))
% 149.08/148.74 [6735]~P103(f326(f326(f240(a1),x67351),a84))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x67351),x67351)),a84))
% 149.08/148.74 [6736]~P103(f326(f326(f240(a1),x67361),a102))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x67361),x67361)),a102))
% 149.08/148.74 [6737]~P103(f326(f326(f241(a1),x67371),a84))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x67371),x67371)),a84))
% 149.08/148.74 [6738]~P103(f326(f326(f240(a1),x67381),a102))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x67381),x67381)),a102))
% 149.08/148.74 [6739]~P103(f326(f326(f92(a1),x67391),a84))+P103(f326(f326(f92(a1),f326(f326(f81(a1),x67391),x67391)),a84))
% 149.08/148.74 [7062]E(f326(f108(a872),x70621),f2(a872))+~P103(f326(a196,f326(f108(a1),f326(f326(f81(a1),x70621),a102))))
% 149.08/148.74 [7301]~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x73011)))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),f326(f326(f81(a1),x73011),x73011))))
% 149.08/148.74 [7302]P103(f326(a196,f326(f108(a1),x73021)))+~P103(f326(a196,f326(f108(a1),f326(f326(f81(a1),x73021),x73021))))
% 149.08/148.74 [7303]P103(f326(f326(f240(a1),x73031),a84))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x73031),x73031)),a84))
% 149.08/148.74 [7304]P103(f326(f326(f240(a1),x73041),a102))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x73041),x73041)),a102))
% 149.08/148.74 [7305]P103(f326(f326(f240(a1),x73051),a102))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x73051),x73051)),a102))
% 149.08/148.74 [7306]P103(f326(f326(f241(a1),x73061),a84))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x73061),x73061)),a84))
% 149.08/148.74 [7307]P103(f326(f326(f92(a1),x73071),a84))+~P103(f326(f326(f92(a1),f326(f326(f81(a1),x73071),x73071)),a84))
% 149.08/148.74 [7675]E(f326(a112,f585(x76751)),x76751)+~P103(f326(f326(f328(f880(f879(a872,a872),a866)),x76751),a103))
% 149.08/148.74 [6307]~P93(x63071)+E(f326(f108(x63071),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f79(x63071))
% 149.08/148.74 [6786]~P103(f326(a196,f326(f108(a1),x67861)))+E(f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x67861),x67861)),a102)),f2(a872))
% 149.08/148.74 [7851]~P103(f326(f326(f241(a1),f326(f108(a1),x78511)),f2(a1)))+E(f326(f260(a1,a1),f326(a51,f50(f326(f80(a1),f79(a1)),f326(f80(a1),f326(f108(a1),x78511))))),f326(f326(f39(a1),f79(a1)),f326(f108(a1),x78511)))
% 149.08/148.74 [7864]~P103(f326(f326(f241(a1),f326(f108(a1),x78641)),f2(a1)))+E(f326(f264(a1,a1),f326(a51,f50(f326(f80(a1),f79(a1)),f326(f80(a1),f326(f108(a1),x78641))))),f45(a1,f79(a1),f326(f108(a1),x78641)))
% 149.08/148.74 [7912]~P103(f326(f326(f240(a1),a84),x79121))+P103(f326(f326(f240(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x79121),x79121)),a102)))
% 149.08/148.74 [7913]~P103(f326(f326(f240(a1),a102),x79131))+P103(f326(f326(f240(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x79131),x79131)),a102)))
% 149.08/148.74 [7914]~P103(f326(f326(f240(a1),a84),x79141))+P103(f326(f326(f241(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x79141),x79141)),a102)))
% 149.08/148.74 [7915]~P103(f326(f326(f241(a1),a102),x79151))+P103(f326(f326(f241(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x79151),x79151)),a102)))
% 149.08/148.74 [7916]~P103(f326(f326(f92(a1),a102),x79161))+P103(f326(f326(f92(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x79161),x79161)),a102)))
% 149.08/148.74 [8224]~P93(x82241)+~P30(x82241,f326(f108(x82241),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))
% 149.08/148.74 [8404]P103(f326(f326(f240(a1),a84),x84041))+~P103(f326(f326(f240(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x84041),x84041)),a102)))
% 149.08/148.74 [8405]P103(f326(f326(f240(a1),a84),x84051))+~P103(f326(f326(f241(a1),a84),f326(f326(f22(a1),f326(f326(f81(a1),x84051),x84051)),a102)))
% 149.08/148.74 [8406]P103(f326(f326(f240(a1),a102),x84061))+~P103(f326(f326(f240(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x84061),x84061)),a102)))
% 149.08/148.74 [8407]P103(f326(f326(f241(a1),a102),x84071))+~P103(f326(f326(f241(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x84071),x84071)),a102)))
% 149.08/148.74 [8408]P103(f326(f326(f92(a1),a102),x84081))+~P103(f326(f326(f92(a1),a102),f326(f326(f22(a1),f326(f326(f81(a1),x84081),x84081)),a102)))
% 149.08/148.74 [8720]E(f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x87201),x87201)),a102)),f326(f326(f87(a872,a872),f326(f108(a872),x87201)),f326(f326(f8(a872,a872,a872),a117),f326(f326(f18(a872,a872,a872),f81(a872)),f5(a872)))))+P103(f326(a196,f326(f108(a1),x87201)))
% 149.08/148.74 [9565]E(x95651,f190(f880(f879(a872,a872),a866)))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x95651),f190(f880(f879(a872,a872),a866)))),a69))
% 149.08/148.74 [8651]~P103(f326(a196,f326(f108(a1),x86511)))+P103(f326(a196,f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86511),x86511)),a102))))
% 149.08/148.74 [8652]~P103(f326(f326(f241(a1),x86521),a84))+P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86521),x86521)),a102)),a84))
% 149.08/148.74 [8653]~P103(f326(f326(f240(a1),x86531),a102))+P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86531),x86531)),a102)),a102))
% 149.08/148.74 [8654]~P103(f326(f326(f241(a1),x86541),a84))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86541),x86541)),a102)),a84))
% 149.08/148.74 [8655]~P103(f326(f326(f241(a1),x86551),a102))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86551),x86551)),a102)),a102))
% 149.08/148.74 [8656]~P103(f326(f326(f92(a1),x86561),a102))+P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x86561),x86561)),a102)),a102))
% 149.08/148.74 [8756]~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x87561)))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x87561),x87561)),a102))))
% 149.08/148.74 [8916]~P93(x89161)+E(f326(f326(f81(x89161),f79(x89161)),f79(x89161)),f326(f108(x89161),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))
% 149.08/148.74 [9071]P103(f326(a196,f326(f108(a1),x90711)))+~P103(f326(a196,f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90711),x90711)),a102))))
% 149.08/148.74 [9072]P103(f326(f326(f240(a1),x90721),a102))+~P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90721),x90721)),a102)),a102))
% 149.08/148.74 [9073]P103(f326(f326(f241(a1),x90731),a84))+~P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90731),x90731)),a102)),a84))
% 149.08/148.74 [9074]P103(f326(f326(f241(a1),x90741),a84))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90741),x90741)),a102)),a84))
% 149.08/148.74 [9075]P103(f326(f326(f241(a1),x90751),a102))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90751),x90751)),a102)),a102))
% 149.08/148.74 [9076]P103(f326(f326(f92(a1),x90761),a102))+~P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90761),x90761)),a102)),a102))
% 149.08/148.74 [9611]~P103(f326(f62(f879(a872,a872)),x96111))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f190(f880(f879(a872,a872),a866))),x96111)),a70))
% 149.08/148.74 [9398]~P142(x93981)+E(f326(f326(f251(x93981),f79(x93981)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(x93981))
% 149.08/148.74 [9399]~P142(x93991)+E(f326(f326(f251(x93991),f2(x93991)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f2(x93991))
% 149.08/148.74 [9838]~P103(f326(f326(f241(a872),f79(a872)),x98381))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f39(a872),x98381),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.74 [9850]~P103(f326(f326(f241(a872),f2(a872)),x98501))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f39(a872),f326(f326(f81(a872),x98501),f79(a872))),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.74 [9892]~E(f45(a872,x98921,f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(a872))+P103(f326(f326(f241(a872),f2(a872)),f45(a872,x98921,f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.74 [9911]E(f45(a872,x99111,f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(a872))+~P103(f326(f326(f241(a872),f2(a872)),f45(a872,x99111,f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.74 [4605]~P37(x46051,x46052)+P53(x46051,x46052)
% 149.08/148.74 [4606]~P42(x46061,x46062)+P53(x46061,x46062)
% 149.08/148.74 [4565]~E(x45651,x45652)+E(f273(x45651,x45652),f79(a104))
% 149.08/148.74 [4568]E(f221(x45681,x45682),x45681)+~E(x45682,f2(a872))
% 149.08/148.74 [4573]P38(x45731,x45732)+~E(x45732,f193(x45731))
% 149.08/148.74 [4576]~E(x45762,f118(x45761))+E(f148(x45761,x45762),f118(x45761))
% 149.08/148.74 [4580]~P38(x45802,x45801)+E(x45801,f193(x45802))
% 149.08/148.74 [4596]~E(f148(x45962,x45961),f118(x45962))+E(x45961,f118(x45962))
% 149.08/148.74 [4610]~P24(x46102)+P24(f880(x46101,x46102))
% 149.08/148.74 [4611]~P104(x46112)+P104(f880(x46111,x46112))
% 149.08/148.74 [4612]~P106(x46122)+P106(f880(x46121,x46122))
% 149.08/148.74 [4613]~P107(x46132)+P107(f880(x46131,x46132))
% 149.08/148.74 [4614]~P76(x46142)+P63(f880(x46141,x46142))
% 149.08/148.74 [4615]~P64(x46152)+P64(f880(x46151,x46152))
% 149.08/148.74 [4616]~P76(x46162)+P76(f880(x46161,x46162))
% 149.08/148.74 [4617]~P97(x46172)+P77(f880(x46171,x46172))
% 149.08/148.74 [4618]~P26(x46182)+P26(f880(x46181,x46182))
% 149.08/148.74 [4619]~P86(x46192)+P86(f880(x46191,x46192))
% 149.08/148.74 [4620]~P87(x46202)+P87(f880(x46201,x46202))
% 149.08/148.74 [4621]~P76(x46212)+P100(f880(x46211,x46212))
% 149.08/148.74 [4622]~P98(x46222)+P98(f880(x46221,x46222))
% 149.08/148.74 [4623]~P111(x46232)+P111(f880(x46231,x46232))
% 149.08/148.74 [4624]~P97(x46242)+P99(f880(x46241,x46242))
% 149.08/148.74 [4625]~P97(x46252)+P97(f880(x46251,x46252))
% 149.08/148.74 [4637]E(x46371,x46372)+~E(f326(a26,x46371),f326(a26,x46372))
% 149.08/148.74 [4639]E(x46391,x46392)+~E(f326(a117,x46391),f326(a117,x46392))
% 149.08/148.74 [4640]E(x46401,x46402)+~E(f326(a112,x46401),f326(a112,x46402))
% 149.08/148.74 [4641]E(x46411,x46412)+~E(f326(a3,x46411),f326(a3,x46412))
% 149.08/148.74 [4643]E(x46431,x46432)+~E(f326(a19,x46431),f326(a19,x46432))
% 149.08/148.74 [4744]~P56(x47441)+E(f45(x47441,x47442,x47442),f2(x47441))
% 149.08/148.74 [4778]~P37(x47781,x47782)+P37(f873(x47781),f142(x47781,x47782))
% 149.08/148.74 [4779]~P37(x47791,x47792)+P37(f873(x47791),f141(x47791,x47792))
% 149.08/148.74 [4876]~P37(x48761,x48762)+P37(f880(x48761,a866),f317(x48761,x48762))
% 149.08/148.74 [4877]~P37(x48771,x48772)+P37(f880(x48771,a866),f319(x48771,x48772))
% 149.08/148.74 [4996]~P27(x49961)+P39(f297(a1,x49961,x49962))
% 149.08/148.74 [5096]~P37(x50961,x50962)+P55(x50961,f68(x50961,x50961,x50962))
% 149.08/148.74 [5601]~P78(x56011)+P21(x56011,x56011,f80(x56011),x56012)
% 149.08/148.74 [4591]~E(x45912,f118(x45911))+E(f326(f164(x45911),x45912),f118(x45911))
% 149.08/148.74 [4592]~E(x45922,f118(x45921))+E(f326(f165(x45921),x45922),f118(x45921))
% 149.08/148.74 [4647]E(x46471,f326(a109,x46472))+~E(f326(f105(a1),x46471),x46472)
% 149.08/148.74 [4650]E(x46501,f118(x46502))+~E(f326(f164(x46502),x46501),f118(x46502))
% 149.08/148.74 [4651]E(x46511,f118(x46512))+~E(f326(f165(x46512),x46511),f118(x46512))
% 149.08/148.74 [4668]~P93(x46681)+E(f326(f108(x46681),x46682),f326(f107(x46681),x46682))
% 149.08/148.74 [4675]~E(x46752,f193(x46751))+E(f232(x46751,x46752),f190(f880(x46751,a866)))
% 149.08/148.74 [4677]~P25(x46771)+P103(f326(f62(x46771),x46772))
% 149.08/148.74 [4684]E(x46841,f193(x46842))+E(f326(f233(x46842),f683(x46842,x46841)),x46841)
% 149.08/148.74 [4685]E(x46851,f193(x46852))+E(f326(f233(x46852),f332(x46852,x46851)),x46851)
% 149.08/148.74 [4687]~E(f684(x46872,x46871),f118(x46871))+E(f176(x46871,x46872),f118(f873(x46871)))
% 149.08/148.74 [4696]~E(x46962,f118(x46961))+E(f326(f168(x46961),x46962),f190(f880(x46961,a866)))
% 149.08/148.74 [4697]~E(x46972,f118(x46971))+E(f190(f880(x46971,a866)),f326(f168(x46971),x46972))
% 149.08/148.74 [4699]E(x46991,x46992)+~E(f326(f105(a1),x46991),f326(f105(a1),x46992))
% 149.08/148.74 [4702]E(f219(x47021,x47022),f2(a872))+P103(f326(f62(x47021),x47022))
% 149.08/148.74 [4722]~P109(x47221)+E(f83(x47221,f83(x47221,x47222)),f83(x47221,x47222))
% 149.08/148.74 [4735]~P114(x47351)+E(f326(f326(f251(x47351),x47352),f79(a872)),x47352)
% 149.08/148.74 [4736]~P80(x47361)+E(f326(f326(f251(x47361),x47362),f79(a872)),x47362)
% 149.08/148.74 [4738]E(x47381,x47382)+E(f273(x47381,x47382),f326(f326(f81(a104),x47382),f79(a104)))
% 149.08/148.74 [4741]E(f326(f38(x47411),x47412),f2(a872))+P103(f326(f62(x47411),x47412))
% 149.08/148.74 [4745]~E(f148(x47451,x47452),x47452)+P103(f326(f133(x47451),x47452))
% 149.08/148.74 [4748]~P77(x47481)+E(f326(f326(f115(x47481),x47482),f190(x47481)),x47482)
% 149.08/148.74 [4749]~P71(x47491)+E(f326(f326(f22(x47491),x47492),f2(x47491)),x47492)
% 149.08/148.74 [4750]~P72(x47501)+E(f326(f326(f81(x47501),x47502),f2(x47501)),x47502)
% 149.08/148.74 [4751]~P114(x47511)+E(f326(f326(f81(x47511),x47512),f2(x47511)),x47512)
% 149.08/148.74 [4752]~P81(x47521)+E(f326(f326(f81(x47521),x47522),f2(x47521)),x47522)
% 149.08/148.74 [4753]~P99(x47531)+E(f326(f326(f106(x47531),x47532),f249(x47531)),x47532)
% 149.08/148.74 [4754]~P114(x47541)+E(f326(f326(f82(x47541),x47542),f79(x47541)),x47542)
% 149.08/148.74 [4755]~P73(x47551)+E(f326(f326(f82(x47551),x47552),f79(x47551)),x47552)
% 149.08/148.74 [4756]~P80(x47561)+E(f326(f326(f82(x47561),x47562),f79(x47561)),x47562)
% 149.08/148.74 [4757]~P118(x47571)+E(f326(f326(f284(x47571),x47572),f79(x47571)),x47572)
% 149.08/148.74 [4758]~P56(x47581)+E(f326(f326(f39(x47581),x47582),f79(x47581)),x47582)
% 149.08/148.74 [4759]~P114(x47591)+E(f326(f326(f251(x47591),x47592),f2(a872)),f79(x47591))
% 149.08/148.74 [4760]~P112(x47601)+E(f326(f326(f251(x47601),x47602),f2(a872)),f79(x47601))
% 149.08/148.74 [4761]~E(x47612,f190(f880(x47611,a866)))+E(f326(f38(x47611),x47612),f2(a872))
% 149.08/148.74 [4772]~P56(x47721)+E(f45(x47721,x47722,f2(x47721)),x47722)
% 149.08/148.74 [4780]~P99(x47801)+E(f326(f326(f115(x47801),x47802),f249(x47801)),f249(x47801))
% 149.08/148.74 [4781]~P77(x47811)+E(f326(f326(f106(x47811),x47812),f190(x47811)),f190(x47811))
% 149.08/148.74 [4782]~P114(x47821)+E(f326(f326(f82(x47821),x47822),f2(x47821)),f2(x47821))
% 149.08/148.74 [4783]~P125(x47831)+E(f326(f326(f82(x47831),x47832),f2(x47831)),f2(x47831))
% 149.08/148.74 [4784]~P119(x47841)+E(f326(f326(f284(x47841),x47842),f2(x47841)),f2(x47841))
% 149.08/148.74 [4785]~P56(x47851)+E(f326(f326(f39(x47851),x47852),f2(x47851)),f2(x47851))
% 149.08/148.74 [4786]E(x47861,f193(x47862))+~E(f232(x47862,x47861),f190(f880(x47862,a866)))
% 149.08/148.74 [4789]~P56(x47891)+E(f45(x47891,x47892,f79(x47891)),f2(x47891))
% 149.08/148.74 [4790]~P56(x47901)+E(f45(x47901,f2(x47901),x47902),f2(x47901))
% 149.08/148.74 [4819]E(x48191,f2(a872))+E(f55(x48192,x48191,f118(x48192)),f118(f873(x48192)))
% 149.08/148.74 [4843]P37(x48431,x48432)+~E(f601(x48432,x48431),f190(f880(x48431,a866)))
% 149.08/148.74 [4844]E(x48441,f118(x48442))+~E(f326(f168(x48442),x48441),f190(f880(x48442,a866)))
% 149.08/148.74 [4845]E(x48451,f118(x48452))+~E(f190(f880(x48452,a866)),f326(f168(x48452),x48451))
% 149.08/148.74 [4848]~E(x48481,x48482)+P103(f326(f326(a323,x48481),x48482))
% 149.08/148.74 [4858]P103(x48581)+P103(f326(f326(a329,x48581),x48582))
% 149.08/148.74 [4859]E(x48591,f118(x48592))+E(f326(f326(f161(x48592),x48591),f2(a872)),f326(f137(x48592),x48591))
% 149.08/148.74 [4862]E(f148(x48621,x48622),x48622)+~P103(f326(f133(x48621),x48622))
% 149.08/148.74 [4867]~P103(x48672)+P103(f326(f326(a329,x48671),x48672))
% 149.08/148.74 [4868]~P103(x48682)+P103(f326(f326(a325,x48681),x48682))
% 149.08/148.74 [4869]~P103(x48691)+P103(f326(f326(a325,x48691),x48692))
% 149.08/148.74 [4879]~E(x48792,f190(f880(x48791,a866)))+P103(f326(f62(x48791),x48792))
% 149.08/148.74 [4880]~E(f685(x48802,x48801),f690(x48802,x48801))+P103(f326(f133(x48801),x48802))
% 149.08/148.74 [4888]E(f326(f246(x48881),x48882),f190(f880(x48881,a866)))+P103(f326(x48882,f343(x48882)))
% 149.08/148.74 [4889]E(f190(f880(x48891,a866)),f326(f246(x48891),x48892))+P103(f326(x48892,f436(x48892)))
% 149.08/148.74 [4953]~P109(x49531)+E(f326(f326(f82(x49531),x49532),f83(x49531,x49532)),f326(f76(x49531),x49532))
% 149.08/148.74 [4964]~E(x49641,f2(a1))+E(f46(x49641,x49642),f326(f326(f261(a1,a1),f2(a1)),f2(a1)))
% 149.08/148.74 [4995]~P53(x49951,x49952)+P53(x49951,f326(f281(x49951,x49951),x49952))
% 149.08/148.74 [5013]~E(f326(a28,x50131),f326(f233(a868),x50132))+P103(f326(a25,f326(a26,x50131)))
% 149.08/148.75 [5018]E(x50181,x50182)+~P103(f326(f326(a323,x50181),x50182))
% 149.08/148.75 [5022]~P103(f326(a25,x50222))+P103(f326(a25,f33(x50221,x50222)))
% 149.08/148.75 [5031]P103(x50311)+~P103(f326(f326(a324,x50312),x50311))
% 149.08/148.75 [5032]P103(x50321)+~P103(f326(f326(a324,x50321),x50322))
% 149.08/148.75 [5036]~P111(x50361)+P103(f326(f326(f240(x50361),x50362),f249(x50361)))
% 149.08/148.75 [5040]E(x50401,x50402)+~E(f326(x50401,f437(x50402,x50401)),f326(x50402,f437(x50402,x50401)))
% 149.08/148.75 [5069]E(x50691,f2(a872))+E(f221(x50691,f45(a872,x50692,x50691)),f221(x50692,x50691))
% 149.08/148.75 [5074]~P105(x50741)+P28(x50741,f326(f326(f147(x50741),x50742),f118(x50741)))
% 149.08/148.75 [5076]E(x50761,f2(a1))+P103(f326(f49(x50762,x50761),f46(x50762,x50761)))
% 149.08/148.75 [5094]~E(x50941,x50942)+P103(f326(f326(f241(a872),x50941),f326(a117,x50942)))
% 149.08/148.75 [5104]~E(x51041,f2(a872))+P103(f326(f326(f241(a872),x51041),f326(a117,x51042)))
% 149.08/148.75 [5114]P103(f326(x51141,x51142))+P103(f326(f326(f240(a1),f2(a1)),f346(x51141)))
% 149.08/148.75 [5151]P103(f326(a25,x51511))+~P103(f326(a25,f33(x51512,x51511)))
% 149.08/148.75 [5153]P103(f326(a25,x51531))+~P103(f326(a25,f34(x51532,x51531)))
% 149.08/148.75 [5155]P103(f326(a25,x51551))+~P103(f326(a25,f34(x51551,x51552)))
% 149.08/148.75 [5187]P53(x51871,x51872)+~P53(x51871,f326(f281(x51871,x51871),x51872))
% 149.08/148.75 [5190]~E(f45(a872,x51902,x51901),f2(a872))+E(f326(f326(f82(a872),x51901),f443(x51901,x51902)),x51902)
% 149.08/148.75 [5191]~E(f45(a1,x51912,x51911),f2(a1))+E(f326(f326(f82(a1),x51911),f444(x51911,x51912)),x51912)
% 149.08/148.75 [5217]~P103(f326(x52171,x52172))+P103(f326(f326(f240(a1),f2(a1)),f345(x52171)))
% 149.08/148.75 [5229]E(f326(f326(f22(a872),f326(a109,x52291)),f326(a109,x52292)),f326(a109,x52291))+~P103(f326(a196,x52292))
% 149.08/148.75 [5261]E(f274(x52611,x52612),f79(a104))+~P103(f326(f326(f240(a104),x52611),f79(a104)))
% 149.08/148.75 [5356]E(f326(f326(f161(x53561),x53562),f685(x53562,x53561)),f326(f326(f161(x53561),x53562),f690(x53562,x53561)))+P103(f326(f133(x53561),x53562))
% 149.08/148.75 [5401]~P103(f326(x54011,f91(x54012,x54011)))+P103(f326(x54011,f602(x54012,x54011)))
% 149.08/148.75 [5464]P55(x54641,x54642)+~P103(f326(f314(x54641,x54642),f542(x54642,x54641)))
% 149.08/148.75 [5608]~E(f326(a117,f45(a872,x56081,x56082)),x56082)+E(f45(a872,f326(a117,x56081),x56082),f2(a872))
% 149.08/148.75 [5665]P37(x56651,x56652)+P103(f326(f326(f328(x56651),f639(x56652,x56651)),f640(x56652,x56651)))
% 149.08/148.75 [5672]~P138(x56721)+P103(f326(f326(f328(x56721),f326(f105(x56721),x56722)),f114(x56721)))
% 149.08/148.75 [5673]~P142(x56731)+P103(f326(f326(f328(x56731),f326(f105(x56731),x56732)),f188(x56731)))
% 149.08/148.75 [5674]~P138(x56741)+P103(f326(f326(f328(x56741),f326(f107(x56741),x56742)),f114(x56741)))
% 149.08/148.75 [5675]~P93(x56751)+P103(f326(f326(f328(x56751),f326(f108(x56751),x56752)),f114(x56751)))
% 149.08/148.75 [5819]E(f326(a117,f45(a872,x58191,x58192)),x58192)+E(f45(a872,f326(a117,x58191),x58192),f326(a117,f45(a872,x58191,x58192)))
% 149.08/148.75 [6238]P37(x62381,x62382)+~P103(f326(f326(f328(x62381),f543(x62382,x62381)),f315(x62381,x62382)))
% 149.08/148.75 [6273]~P108(x62731)+~P103(f326(f326(f241(x62731),f326(f105(x62731),x62732)),f2(x62731)))
% 149.08/148.75 [6274]~P84(x62741)+~P103(f326(f326(f241(x62741),f326(f76(x62741),x62742)),f2(x62741)))
% 149.08/148.75 [6362]P103(f326(f326(f241(a1),x63621),f45(a1,x63622,x63621)))+~P103(f326(f326(f241(a1),x63621),f2(a1)))
% 149.08/148.75 [6461]E(f326(f326(f304(a872),f326(a117,x64611)),f297(a872,x64612,x64611)),f297(a872,x64612,f326(a117,x64611)))+~P103(f326(f326(f240(a872),x64612),f326(a117,x64611)))
% 149.08/148.75 [6548]~P105(x65481)+P28(x65481,f146(x65481,x65481,f5(x65481),x65482))
% 149.08/148.75 [6678]E(f326(f164(x66781),x66782),x66782)+~P103(f326(f326(f240(a872),f326(f191(f873(x66781)),x66782)),f79(a872)))
% 149.08/148.75 [6698]~P84(x66981)+P103(f326(f326(f240(x66981),f326(f80(x66981),f326(f76(x66981),x66982))),f2(x66981)))
% 149.08/148.75 [6731]~P37(x67311,x67312)+P37(x67311,f326(f326(f283(x67311,x67311,x67311),x67312),f302(x67311,x67312)))
% 149.08/148.75 [6953]~P103(f326(f326(f241(a1),x69532),f2(a1)))+P103(f326(f326(f240(a1),f45(a1,x69531,x69532)),f2(a1)))
% 149.08/148.75 [7349]~P142(x73491)+E(f192(x73491,f326(f326(f7(x73491,x73491,x73491),f81(x73491)),f79(x73491)),x73492,f2(x73491)),f326(f105(x73491),x73492))
% 149.08/148.75 [7377]~P121(x73771)+~P103(f326(f326(f241(x73771),f326(f326(f82(x73771),x73772),x73772)),f2(x73771)))
% 149.08/148.75 [10001]~P109(x100011)+~P103(f326(f326(f241(x100011),f326(f326(f251(x100011),x100012),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f2(x100011)))
% 149.08/148.75 [4648]~E(x46482,f118(x46481))+E(f326(f191(f873(x46481)),x46482),f2(a872))
% 149.08/148.75 [4688]~E(x46881,f2(a872))+E(f326(f326(f81(a872),x46881),x46882),x46882)
% 149.08/148.75 [4689]~E(x46892,f2(a872))+E(f326(f326(f82(a872),x46891),x46892),f2(a872))
% 149.08/148.75 [4691]~E(x46911,f2(a872))+E(f326(f326(f82(a872),x46911),x46912),f2(a872))
% 149.08/148.75 [4692]~E(x46922,f2(a872))+E(f326(f326(f251(a872),x46921),x46922),f79(a872))
% 149.08/148.75 [4693]~E(x46932,f2(a1))+E(f326(f326(f39(a1),x46931),x46932),f2(a1))
% 149.08/148.75 [4703]E(x47031,f118(x47032))+~E(f326(f191(f873(x47032)),x47031),f2(a872))
% 149.08/148.75 [4705]~P63(x47051)+E(f326(f326(f115(x47051),x47052),x47052),x47052)
% 149.08/148.75 [4706]~P76(x47061)+E(f326(f326(f115(x47061),x47062),x47062),x47062)
% 149.08/148.75 [4707]~P76(x47071)+E(f326(f326(f106(x47071),x47072),x47072),x47072)
% 149.08/148.75 [4709]~P100(x47091)+E(f326(f326(f106(x47091),x47092),x47092),x47092)
% 149.08/148.75 [4711]~P96(x47111)+E(f326(f326(f82(x47111),x47112),x47112),x47112)
% 149.08/148.75 [4713]~P105(x47131)+E(f326(f326(f238(x47131),x47132),x47132),x47132)
% 149.08/148.75 [4715]~P105(x47151)+E(f326(f326(f239(x47151),x47152),x47152),x47152)
% 149.08/148.75 [4734]~P71(x47341)+E(f326(f326(f22(x47341),x47342),x47342),f2(x47341))
% 149.08/148.75 [4746]~P71(x47461)+E(f326(f80(x47461),f326(f80(x47461),x47462)),x47462)
% 149.08/148.75 [4747]~P86(x47471)+E(f326(f80(x47471),f326(f80(x47471),x47472)),x47472)
% 149.08/148.75 [4764]~E(x47642,f2(a872))+E(f326(f326(f251(a872),x47641),x47642),f326(a117,f2(a872)))
% 149.08/148.75 [4798]~P77(x47981)+E(f326(f326(f115(x47981),f190(x47981)),x47982),x47982)
% 149.08/148.75 [4799]~P72(x47991)+E(f326(f326(f81(x47991),f2(x47991)),x47992),x47992)
% 149.08/148.75 [4800]~P114(x48001)+E(f326(f326(f81(x48001),f2(x48001)),x48002),x48002)
% 149.08/148.75 [4801]~P81(x48011)+E(f326(f326(f81(x48011),f2(x48011)),x48012),x48012)
% 149.08/148.75 [4802]~P99(x48021)+E(f326(f326(f106(x48021),f249(x48021)),x48022),x48022)
% 149.08/148.75 [4803]~P114(x48031)+E(f326(f326(f82(x48031),f79(x48031)),x48032),x48032)
% 149.08/148.75 [4804]~P73(x48041)+E(f326(f326(f82(x48041),f79(x48041)),x48042),x48042)
% 149.08/148.75 [4805]~P80(x48051)+E(f326(f326(f82(x48051),f79(x48051)),x48052),x48052)
% 149.08/148.75 [4824]~P99(x48241)+E(f326(f326(f115(x48241),f249(x48241)),x48242),f249(x48241))
% 149.08/148.75 [4825]~P77(x48251)+E(f326(f326(f106(x48251),f190(x48251)),x48252),f190(x48251))
% 149.08/148.75 [4826]~P114(x48261)+E(f326(f326(f82(x48261),f2(x48261)),x48262),f2(x48261))
% 149.08/148.75 [4827]~P125(x48271)+E(f326(f326(f82(x48271),f2(x48271)),x48272),f2(x48271))
% 149.08/148.75 [4828]~P80(x48281)+E(f326(f326(f251(x48281),f79(x48281)),x48282),f79(x48281))
% 149.08/148.75 [4829]~P118(x48291)+E(f326(f326(f284(x48291),f2(x48291)),x48292),f2(x48291))
% 149.08/148.75 [4830]~P56(x48301)+E(f326(f326(f39(x48301),f2(x48301)),x48302),f2(x48301))
% 149.08/148.75 [4838]E(x48381,f118(x48382))+E(f140(x48382,f326(f165(x48382),x48381)),f326(f137(x48382),x48381))
% 149.08/148.75 [4839]E(x48391,f118(x48392))+E(f326(f137(x48392),f326(f165(x48392),x48391)),f140(x48392,x48391))
% 149.08/148.75 [4840]E(x48401,f2(a872))+~E(f326(f326(f81(a872),x48402),x48401),x48402)
% 149.08/148.75 [4846]~P138(x48461)+E(f326(f107(x48461),f326(f105(a1),x48462)),f326(f105(x48461),x48462))
% 149.08/148.75 [4847]~P93(x48471)+E(f326(f107(x48471),f326(f108(a1),x48472)),f326(f108(x48471),x48472))
% 149.08/148.75 [4854]E(x48541,f79(a872))+~E(f326(f326(f82(a872),x48542),x48541),f79(a872))
% 149.08/148.75 [4855]E(x48551,f79(a872))+~E(f326(f326(f82(a872),x48551),x48552),f79(a872))
% 149.08/148.75 [4856]E(x48561,f2(a872))+~E(f326(f326(f81(a872),x48562),x48561),f2(a872))
% 149.08/148.75 [4857]E(x48571,f2(a872))+~E(f326(f326(f81(a872),x48571),x48572),f2(a872))
% 149.08/148.75 [4872]~P84(x48721)+E(f326(f76(x48721),f326(f80(x48721),x48722)),f326(f76(x48721),x48722))
% 149.08/148.75 [4873]~P109(x48731)+E(f326(f76(x48731),f326(f105(x48731),x48732)),f326(f105(x48731),x48732))
% 149.08/148.75 [4874]~P84(x48741)+E(f326(f76(x48741),f326(f76(x48741),x48742)),f326(f76(x48741),x48742))
% 149.08/148.75 [4875]~P72(x48751)+E(f326(f162(x48751),f326(f165(x48751),x48752)),f326(f162(x48751),x48752))
% 149.08/148.75 [4881]~E(x48811,f326(a117,f2(a872)))+E(f326(f326(f251(a872),x48811),x48812),f326(a117,f2(a872)))
% 149.08/148.75 [4891]~P71(x48911)+E(f326(f326(f22(x48911),f2(x48911)),x48912),f326(f80(x48911),x48912))
% 149.08/148.75 [4892]~E(x48922,f2(a872))+E(f135(a872,f326(f296(a872,x48921),x48922)),f118(a872))
% 149.08/148.75 [4901]~P93(x49011)+E(f326(f326(f81(x49011),x49012),f326(f108(x49011),a84)),x49012)
% 149.08/148.75 [4902]E(x49021,f2(a1))+E(f47(f326(f76(a1),x49022),f326(f76(a1),x49021)),f53(x49022,x49021))
% 149.08/148.75 [4916]~E(x49161,x49162)+P103(f326(f326(f240(a872),x49161),x49162))
% 149.08/148.75 [4923]~E(x49231,f2(a104))+E(f326(f326(f81(a872),f326(a19,x49231)),x49232),x49232)
% 149.08/148.75 [4924]~E(f326(f108(a1),x49242),f326(f105(a1),x49241))+E(x49241,f326(a109,f326(f108(a1),x49242)))
% 149.08/148.75 [4933]~P27(x49331)+P27(f326(f326(f251(a1),x49331),x49332))
% 149.08/148.75 [4934]~P86(x49341)+E(f326(f326(f115(x49341),x49342),f326(f80(x49341),x49342)),f249(x49341))
% 149.08/148.75 [4935]~P71(x49351)+E(f326(f326(f81(x49351),x49352),f326(f80(x49351),x49352)),f2(x49351))
% 149.08/148.75 [4936]~P86(x49361)+E(f326(f326(f106(x49361),x49362),f326(f80(x49361),x49362)),f190(x49361))
% 149.08/148.75 [4961]E(x49611,f2(a872))+~E(f326(f80(a1),f326(f105(a1),x49612)),f326(f105(a1),x49611))
% 149.08/148.75 [4962]E(x49621,f2(a872))+~E(f326(f80(a1),f326(f105(a1),x49621)),f326(f105(a1),x49622))
% 149.08/148.75 [4972]E(f198(x49721,x49722),f2(a1))+P103(f326(f326(f240(a1),x49722),x49721))
% 149.08/148.75 [4973]E(f175(x49731,x49732),f118(a1))+P103(f326(f326(f240(a1),x49731),x49732))
% 149.08/148.75 [4986]E(x49861,f326(a117,f2(a872)))+~E(f326(f326(f82(a872),x49862),x49861),f326(a117,f2(a872)))
% 149.08/148.75 [4987]E(x49871,f326(a117,f2(a872)))+~E(f326(f326(f82(a872),x49871),x49872),f326(a117,f2(a872)))
% 149.08/148.75 [4988]~P104(x49881)+P103(f326(f326(f240(x49881),x49882),x49882))
% 149.08/148.75 [4989]~P95(x49891)+P103(f326(f326(f92(x49891),x49892),x49892))
% 149.08/148.75 [4992]~P93(x49921)+E(f326(f326(f82(x49921),x49922),f326(f108(x49921),a102)),f326(f80(x49921),x49922))
% 149.08/148.75 [5010]~P138(x50101)+E(f326(f80(x50101),f326(f107(x50101),x50102)),f326(f107(x50101),f326(f80(a1),x50102)))
% 149.08/148.75 [5011]~P93(x50111)+E(f326(f80(x50111),f326(f108(x50111),x50112)),f326(f108(x50111),f326(f80(a1),x50112)))
% 149.08/148.75 [5041]~E(x50411,f326(a117,x50412))+P103(f326(f326(f241(a872),f2(a872)),x50411))
% 149.08/148.75 [5058]~P105(x50581)+E(f326(f80(f880(x50581,a866)),f326(f247(x50581),x50582)),f326(f248(x50581),x50582))
% 149.08/148.75 [5059]~P105(x50591)+E(f326(f80(f880(x50591,a866)),f326(f298(x50591),x50592)),f326(f295(x50591),x50592))
% 149.08/148.75 [5060]~P105(x50601)+E(f326(f80(f880(x50601,a866)),f326(f248(x50601),x50602)),f326(f247(x50601),x50602))
% 149.08/148.75 [5061]~P105(x50611)+E(f326(f80(f880(x50611,a866)),f326(f295(x50611),x50612)),f326(f298(x50611),x50612))
% 149.08/148.75 [5068]~E(f326(f105(a1),x50682),x50681)+P103(f326(f326(f240(a1),f2(a1)),x50681))
% 149.08/148.75 [5075]~E(x50752,f2(a1))+E(f53(x50751,x50752),f326(f326(f261(a1,a1),f2(a1)),f326(f76(a1),x50751)))
% 149.08/148.75 [5077]~P24(x50771)+P103(f326(f326(f240(x50771),f190(x50771)),x50772))
% 149.08/148.75 [5109]E(x51091,x51092)+~E(f326(f326(f81(a1),x51091),x51091),f326(f326(f81(a1),x51092),x51092))
% 149.08/148.75 [5113]~P103(f326(x51131,x51132))+P103(f326(x51131,f326(a109,f345(x51131))))
% 149.08/148.75 [5139]~P109(x51391)+E(f326(f326(f82(x51391),f83(x51391,x51392)),f326(f76(x51391),x51392)),x51392)
% 149.08/148.75 [5140]E(x51401,x51402)+~P103(f326(f326(f197(a24),x51401),x51402))
% 149.08/148.75 [5149]~E(x51492,f2(a872))+E(f86(f879(a872,a872),f48(x51491,x51492)),f326(f326(f261(a872,a872),f2(a872)),x51491))
% 149.08/148.75 [5160]~E(x51601,x51602)+~P103(f326(f326(f241(a872),x51601),x51602))
% 149.08/148.75 [5161]~E(x51611,x51612)+~P103(f326(f326(f241(a1),x51611),x51612))
% 149.08/148.75 [5164]~P142(x51641)+E(f326(f326(f81(x51641),f79(x51641)),f326(f105(x51641),x51642)),f326(f105(x51641),f326(a117,x51642)))
% 149.08/148.75 [5168]~E(x51681,f2(a872))+~P103(f326(f326(f241(a872),x51682),x51681))
% 149.08/148.75 [5184]E(f148(x51841,x51842),x51842)+~E(f326(f191(f873(x51841)),f148(x51841,x51842)),f326(f191(f873(x51841)),x51842))
% 149.08/148.75 [5185]E(f326(f38(x51851),f326(f168(x51851),x51852)),f326(f191(f873(x51851)),x51852))+~P103(f326(f133(x51851),x51852))
% 149.08/148.75 [5195]~P103(f326(x51951,f347(x51951)))+P103(f326(x51951,f326(f105(a1),x51952)))
% 149.08/148.75 [5206]E(f274(x52061,x52062),f79(a104))+~P103(f326(f326(f241(a104),x52062),x52061))
% 149.08/148.75 [5207]E(f175(x52071,x52072),f118(a1))+~P103(f326(f326(f241(a1),x52072),x52071))
% 149.08/148.75 [5210]~P107(x52101)+E(f297(x52101,x52102,x52102),f326(f326(f304(x52101),x52102),f190(f880(x52101,a866))))
% 149.08/148.75 [5232]~E(f326(f326(f22(a872),x52321),x52322),f2(a872))+P103(f326(f326(f240(a872),x52321),x52322))
% 149.08/148.75 [5233]~E(f326(f326(f22(a1),x52331),x52332),f2(a1))+P103(f326(f326(f92(a1),x52331),x52332))
% 149.08/148.75 [5258]~E(x52582,f2(a872))+E(f55(x52581,x52582,f118(x52581)),f326(f326(f147(f873(x52581)),f118(x52581)),f118(f873(x52581))))
% 149.08/148.75 [5262]~P104(x52621)+~P103(f326(f326(f241(x52621),x52622),x52622))
% 149.08/148.75 [5265]~E(f45(a1,x52651,x52652),f2(a1))+E(f45(a1,x52651,f326(f80(a1),x52652)),f2(a1))
% 149.08/148.75 [5267]~E(f45(a1,x52671,x52672),f2(a1))+E(f45(a1,f326(f80(a1),x52671),x52672),f2(a1))
% 149.08/148.75 [5275]E(f326(f296(a872,x52751),f326(a117,x52752)),f190(f880(a872,a866)))+P103(f326(f326(f240(a872),x52751),x52752))
% 149.08/148.75 [5295]E(f135(a872,f326(f296(a872,x52951),x52952)),f118(a872))+P103(f326(f326(f241(a872),x52951),x52952))
% 149.08/148.75 [5300]~E(f326(f38(x53001),f326(f168(x53001),x53002)),f326(f191(f873(x53001)),x53002))+P103(f326(f133(x53001),x53002))
% 149.08/148.75 [5305]~P103(f326(f133(x53051),x53052))+P103(f326(f133(x53051),f326(f164(x53051),x53052)))
% 149.08/148.75 [5306]~P103(f326(f133(x53061),x53062))+P103(f326(f133(x53061),f326(f167(x53061),x53062)))
% 149.08/148.75 [5307]~P103(f326(f133(x53071),x53072))+P103(f326(f133(x53071),f326(f165(x53071),x53072)))
% 149.08/148.75 [5314]P103(f326(x53141,x53142))+~P103(f326(x53141,f326(a109,f346(x53141))))
% 149.08/148.75 [5315]P103(f326(f326(f240(a872),x53152),x53151))+P103(f326(f326(f240(a872),x53151),x53152))
% 149.08/148.75 [5316]P103(f326(f326(f240(a1),x53162),x53161))+P103(f326(f326(f240(a1),x53161),x53162))
% 149.08/148.75 [5319]~P84(x53191)+P103(f326(f326(f240(x53191),x53192),f326(f76(x53191),x53192)))
% 149.08/148.75 [5322]P103(f326(x53221,f348(x53221)))+~P103(f326(x53221,f326(f105(a1),x53222)))
% 149.08/148.75 [5348]E(f326(f326(f22(a872),x53481),x53482),f2(a872))+~P103(f326(f326(f240(a872),x53481),x53482))
% 149.08/148.75 [5349]E(f326(f326(f22(a1),x53491),x53492),f2(a1))+~P103(f326(f326(f92(a1),x53491),x53492))
% 149.08/148.75 [5350]E(f326(f326(f39(a872),x53501),x53502),f2(a872))+~P103(f326(f326(f241(a872),x53501),x53502))
% 149.08/148.75 [5368]E(f45(a872,x53681,x53682),x53681)+~P103(f326(f326(f241(a872),x53681),x53682))
% 149.08/148.75 [5377]E(f45(a1,x53771,f326(f80(a1),x53772)),f285(x53771,x53772))+P103(f326(f326(f240(a1),f2(a1)),x53772))
% 149.08/148.75 [5389]E(f326(f326(f22(a1),x53891),x53892),f198(x53891,x53892))+~P103(f326(f326(f240(a1),x53892),x53891))
% 149.08/148.75 [5408]P103(f326(f326(f240(a1),f2(a1)),f347(x54081)))+P103(f326(x54081,f326(f105(a1),x54082)))
% 149.08/148.75 [5420]~P58(x54201)+P103(f326(f326(f328(x54201),x54202),f326(f168(x54201),f56(x54201))))
% 149.08/148.75 [5422]~P108(x54221)+P103(f326(f326(f240(x54221),f2(x54221)),f326(f105(x54221),x54222)))
% 149.08/148.75 [5423]~P84(x54231)+P103(f326(f326(f240(x54231),f2(x54231)),f326(f76(x54231),x54232)))
% 149.08/148.75 [5450]E(f326(f326(f81(a872),x54501),f837(x54502,x54501)),x54502)+~P103(f326(f326(f240(a872),x54501),x54502))
% 149.08/148.75 [5462]~E(f326(f108(a1),x54621),f326(f105(a1),x54622))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x54621)))
% 149.08/148.75 [5465]E(f297(a1,x54651,x54652),f190(f880(a1,a866)))+~P103(f326(f326(f241(a1),x54652),x54651))
% 149.08/148.75 [5468]~P109(x54681)+E(f326(f326(f82(x54681),f326(f76(x54681),x54682)),f326(f76(x54681),x54682)),f326(f326(f82(x54681),x54682),x54682))
% 149.08/148.75 [5474]E(f135(a872,f326(f296(a872,x54741),f326(a117,x54742))),f118(a872))+P103(f326(f326(f240(a872),x54741),x54742))
% 149.08/148.75 [5478]E(f326(f326(f39(a1),x54781),x54782),f286(x54781,x54782))+~P103(f326(f326(f240(a1),f2(a1)),x54782))
% 149.08/148.75 [5498]P103(f326(f133(x54981),x54982))+~P103(f326(f133(x54981),f326(f164(x54981),x54982)))
% 149.08/148.75 [5499]P103(f326(f133(x54991),x54992))+~P103(f326(f133(x54991),f326(f165(x54991),x54992)))
% 149.08/148.75 [5520]P103(f326(f62(a872),x55201))+P103(f326(f326(f328(a872),f349(x55201,x55202)),x55201))
% 149.08/148.75 [5521]P103(f326(f62(a872),x55211))+P103(f326(f326(f328(a872),f374(x55211,x55212)),x55211))
% 149.08/148.75 [5522]P103(f326(f326(f241(a872),x55222),f326(a117,x55221)))+P103(f326(f326(f241(a872),x55221),x55222))
% 149.08/148.75 [5523]E(f45(a1,x55231,x55232),f285(x55231,x55232))+~P103(f326(f326(f240(a1),f2(a1)),x55232))
% 149.08/148.75 [5526]E(f135(a872,f326(f296(a872,x55261),x55262)),f118(a872))+~P103(f326(f326(f240(a872),x55262),x55261))
% 149.08/148.75 [5527]~P78(x55271)+E(f326(f305(x55271,x55271,f80(x55271)),f326(f247(x55271),x55272)),f326(f298(x55271),f326(f80(x55271),x55272)))
% 149.08/148.75 [5528]~P78(x55281)+E(f326(f305(x55281,x55281,f80(x55281)),f326(f298(x55281),x55282)),f326(f247(x55281),f326(f80(x55281),x55282)))
% 149.08/148.75 [5529]~P78(x55291)+E(f326(f305(x55291,x55291,f80(x55291)),f326(f248(x55291),x55292)),f326(f295(x55291),f326(f80(x55291),x55292)))
% 149.08/148.75 [5530]~P78(x55301)+E(f326(f305(x55301,x55301,f80(x55301)),f326(f295(x55301),x55302)),f326(f248(x55301),f326(f80(x55301),x55302)))
% 149.08/148.75 [5541]E(x55411,f190(f880(x55412,a866)))+P103(f326(f326(f328(x55412),f499(x55411,x55412)),x55411))
% 149.08/148.75 [5542]E(x55421,f190(f880(x55422,a866)))+P103(f326(f326(f328(x55422),f494(x55421,x55422)),x55421))
% 149.08/148.75 [5553]~P103(f326(f326(f241(a872),x55531),x55532))+P103(f326(f326(f240(a872),x55531),x55532))
% 149.08/148.75 [5554]~P103(f326(f326(f241(a1),x55541),x55542))+P103(f326(f326(f240(a1),x55541),x55542))
% 149.08/148.75 [5570]E(f47(x55701,x55702),f326(f326(f261(a1,a1),f2(a1)),x55701))+~P103(f326(f326(f241(a1),x55701),x55702))
% 149.08/148.75 [5571]E(f220(f326(f80(a1),x55711),f326(f80(a1),x55712)),f220(x55711,x55712))+~P103(f326(f326(f241(a1),x55712),f2(a1)))
% 149.08/148.75 [5582]E(x55821,x55822)+~E(f326(a3,f326(a117,f326(a19,x55821))),f326(a3,f326(a117,f326(a19,x55822))))
% 149.08/148.75 [5587]E(f47(x55871,x55872),f326(f326(f261(a1,a1),f2(a1)),x55871))+~P103(f326(f326(f240(a1),x55872),f2(a1)))
% 149.08/148.75 [5614]E(f45(a872,f326(f108(a872),x56141),f326(f108(a872),x56142)),f2(a872))+~P103(f326(a196,f326(f108(a1),x56141)))
% 149.08/148.75 [5629]P103(f326(f326(f240(a1),f2(a1)),f348(x56291)))+~P103(f326(x56291,f326(f105(a1),x56292)))
% 149.08/148.75 [5663]P39(f297(a1,x56631,x56632))+~P103(f326(f326(f240(a1),f2(a1)),x56631))
% 149.08/148.75 [5668]~P103(f326(f62(x56681),x56682))+P103(f326(f62(f880(x56681,a866)),f326(f303(x56681),x56682)))
% 149.08/148.75 [5681]E(f326(f326(f81(a1),x56811),f326(f105(a1),f376(x56812,x56811))),x56812)+~P103(f326(f326(f240(a1),x56811),x56812))
% 149.08/148.75 [5689]P103(f326(f326(f240(a872),x56891),x56892))+P103(f326(f326(f240(a872),f326(a117,x56892)),x56891))
% 149.08/148.75 [5733]E(f326(f326(f39(a872),f326(f108(a872),x57331)),f326(f108(a872),x57332)),f2(a872))+~P103(f326(a196,f326(f108(a1),x57331)))
% 149.08/148.75 [5734]E(f326(f326(f82(a872),f326(f108(a872),x57341)),f326(f108(a872),x57342)),f2(a872))+~P103(f326(f326(f241(a1),x57341),a84))
% 149.08/148.75 [5736]P103(f326(f326(f240(a872),x57361),f326(a117,x57362)))+~P103(f326(f326(f240(a872),x57361),x57362))
% 149.08/148.75 [5738]P103(f326(f326(f241(a872),x57381),f326(a117,x57382)))+~P103(f326(f326(f240(a872),x57381),x57382))
% 149.08/148.75 [5740]P103(f326(f326(f241(a872),x57401),f326(a117,x57402)))+~P103(f326(f326(f241(a872),x57401),x57402))
% 149.08/148.75 [5743]~E(x57431,x57432)+P103(f326(f326(f241(a1),x57431),f326(f326(f81(a1),x57432),f79(a1))))
% 149.08/148.75 [5746]E(f45(a1,x57461,x57462),f2(a1))+E(f326(f326(f22(a1),x57462),f45(a1,x57461,x57462)),f45(a1,f326(f80(a1),x57461),x57462))
% 149.08/148.75 [5755]E(x57551,f118(x57552))+P103(f326(f326(f328(x57552),f140(x57552,x57551)),f326(f168(x57552),x57551)))
% 149.08/148.75 [5767]E(f86(f879(a872,a872),f48(x57671,x57672)),f326(f326(f261(a872,a872),f2(a872)),x57671))+~P103(f326(f326(f241(a872),x57671),x57672))
% 149.08/148.75 [5800]E(f326(f326(f22(a872),f326(f108(a872),x58001)),f326(f108(a872),x58002)),f326(f108(a872),x58001))+~P103(f326(f326(f241(a1),x58002),a84))
% 149.08/148.75 [5801]E(f326(f326(f81(a872),f326(f108(a872),x58011)),f326(f108(a872),x58012)),f326(f108(a872),x58012))+~P103(f326(f326(f241(a1),x58011),a84))
% 149.08/148.75 [5806]E(f326(a117,f326(f326(f81(a872),x58061),f840(x58062,x58061))),x58062)+~P103(f326(f326(f241(a872),x58061),x58062))
% 149.08/148.75 [5829]P103(f326(x58291,x58292))+~P103(f326(x58291,f326(a90,f603(x58292,x58291))))
% 149.08/148.75 [5837]~P103(f326(f326(f241(a872),x58371),f326(a117,x58372)))+P103(f326(f326(f240(a872),x58371),x58372))
% 149.08/148.75 [5883]E(f326(f326(f304(a872),x58831),f326(f296(a872,x58832),x58831)),f326(f296(a872,x58832),f326(a117,x58831)))+~P103(f326(f326(f240(a872),x58832),x58831))
% 149.08/148.75 [5887]E(x58871,f118(x58872))+E(f326(f326(f126(x58872),f119(x58872,x58871)),f326(f326(f147(x58872),f140(x58872,x58871)),f118(x58872))),x58871)
% 149.08/148.75 [5901]P103(f326(f62(x59011),x59012))+~P103(f326(f326(f241(a872),f2(a872)),f326(f38(x59011),x59012)))
% 149.08/148.75 [5903]~E(x59031,f190(f880(x59032,a866)))+~P103(f326(f326(f241(a872),f2(a872)),f326(f38(x59032),x59031)))
% 149.08/148.75 [5915]~P103(f326(f326(f241(a872),x59151),x59152))+P103(f326(f326(f240(a872),f326(a117,x59151)),x59152))
% 149.08/148.75 [5923]~P105(x59231)+E(f146(x59231,x59231,f5(x59231),f148(x59231,x59232)),f135(x59231,f326(f168(x59231),x59232)))
% 149.08/148.75 [5926]E(x59261,f118(x59262))+P103(f326(f326(f328(x59262),f326(f137(x59262),x59261)),f326(f168(x59262),x59261)))
% 149.08/148.75 [5932]~P108(x59321)+P103(f326(f326(f241(x59321),x59322),f326(f326(f81(x59321),x59322),f79(x59321))))
% 149.08/148.75 [5934]~P84(x59341)+P103(f326(f326(f240(x59341),f326(f80(x59341),x59342)),f326(f76(x59341),x59342)))
% 149.08/148.75 [5967]P103(f326(f62(a872),x59671))+~P103(f326(f326(f240(a872),f374(x59671,x59672)),x59672))
% 149.08/148.75 [5968]P103(f326(f62(a872),x59681))+~P103(f326(f326(f241(a872),f349(x59681,x59682)),x59682))
% 149.08/148.75 [5972]~P103(f326(f62(f879(x59721,x59721)),x59722))+P103(f326(f62(x59721),f326(f279(x59721),x59722)))
% 149.08/148.75 [6027]~P103(f326(f326(f241(a872),x60272),f326(a117,x60271)))+~P103(f326(f326(f241(a872),x60271),x60272))
% 149.08/148.75 [6028]~P107(x60281)+E(f326(f326(f106(f880(x60281,a866)),f326(f295(x60281),x60282)),f326(f248(x60281),x60282)),f326(f326(f304(x60281),x60282),f190(f880(x60281,a866))))
% 149.08/148.75 [6041]P103(f326(f62(x60411),x60412))+~P103(f326(f62(f880(x60411,a866)),f326(f303(x60411),x60412)))
% 149.08/148.75 [6065]P103(f326(f326(f240(a872),f326(a117,x60651)),f326(a117,x60652)))+~P103(f326(f326(f240(a872),x60651),x60652))
% 149.08/148.75 [6066]P103(f326(f326(f240(a872),f326(a19,x60661)),f326(a19,x60662)))+~P103(f326(f326(f240(a104),x60661),x60662))
% 149.08/148.75 [6067]P103(f326(f326(f240(a104),f326(a3,x60671)),f326(a3,x60672)))+~P103(f326(f326(f240(a872),x60671),x60672))
% 149.08/148.75 [6069]P103(f326(f326(f241(a872),f326(a117,x60691)),f326(a117,x60692)))+~P103(f326(f326(f241(a872),x60691),x60692))
% 149.08/148.75 [6070]P103(f326(f326(f241(a872),f326(a19,x60701)),f326(a19,x60702)))+~P103(f326(f326(f241(a104),x60701),x60702))
% 149.08/148.75 [6071]P103(f326(f326(f241(a104),f326(a3,x60711)),f326(a3,x60712)))+~P103(f326(f326(f241(a872),x60711),x60712))
% 149.08/148.75 [6074]E(x60741,x60742)+~E(f326(f305(a872,a1,f105(a1)),x60741),f326(f305(a872,a1,f105(a1)),x60742))
% 149.08/148.75 [6090]P103(f326(f326(f240(a872),x60901),x60902))+~P103(f326(f326(f240(a872),f326(a117,x60901)),x60902))
% 149.08/148.75 [6093]P103(f326(f326(f241(a872),x60931),x60932))+~P103(f326(f326(f240(a872),f326(a117,x60931)),x60932))
% 149.08/148.75 [6094]P103(f326(f326(f241(a872),x60941),x60942))+~P103(f326(f326(f241(a872),f326(a117,x60941)),x60942))
% 149.08/148.75 [6109]E(f45(a1,x61091,x61092),f2(a1))+E(f326(f326(f22(a1),f45(a1,x61091,x61092)),x61092),f45(a1,x61091,f326(f80(a1),x61092)))
% 149.08/148.75 [6178]E(f326(f38(f880(x61781,a866)),f326(f303(x61781),x61782)),f326(f326(f251(a872),f326(a117,f326(a117,f2(a872)))),f326(f38(x61781),x61782)))+~P103(f326(f62(x61781),x61782))
% 149.08/148.75 [6181]E(x61811,f118(x61812))+E(f326(f326(f161(x61812),x61811),f326(f326(f22(a872),f326(f191(f873(x61812)),x61811)),f79(a872))),f140(x61812,x61811))
% 149.08/148.75 [6206]E(x62061,f118(x62062))+E(f326(f326(f126(x62062),f326(f167(x62062),x62061)),f326(f326(f147(x62062),f326(f137(x62062),x62061)),f118(x62062))),f326(f164(x62062),x62061))
% 149.08/148.75 [6235]~P103(f326(f62(x62351),f40(f880(x62351,a866),x62352)))+P103(f326(f62(f880(x62351,a866)),x62352))
% 149.08/148.75 [6258]P103(f326(f326(f240(a872),f326(f108(a872),x62581)),f326(f108(a872),x62582)))+~P103(f326(f326(f240(a1),x62581),a84))
% 149.08/148.75 [6275]~P103(f326(f326(f241(a1),x62751),x62752))+P103(f326(f326(f240(a1),x62751),f326(f326(f22(a1),x62752),f79(a1))))
% 149.08/148.75 [6276]~P103(f326(f326(f240(a1),x62761),x62762))+P103(f326(f326(f241(a1),x62761),f326(f326(f81(a1),x62762),f79(a1))))
% 149.08/148.75 [6277]~P103(f326(f326(f241(a1),x62771),x62772))+P103(f326(f326(f241(a1),x62771),f326(f326(f81(a1),x62772),f79(a1))))
% 149.08/148.75 [6279]~P103(f326(f326(f240(a1),x62791),x62792))+P103(f326(f326(f240(a872),f326(f108(a872),x62791)),f326(f108(a872),x62792)))
% 149.08/148.75 [6281]~P103(f326(f326(f240(a872),x62811),x62812))+P103(f326(f326(f240(a1),f326(f105(a1),x62811)),f326(f105(a1),x62812)))
% 149.08/148.75 [6282]~P103(f326(f326(f240(a1),x62821),x62822))+P103(f326(f326(f240(a1),f326(f108(a1),x62821)),f326(f108(a1),x62822)))
% 149.08/148.75 [6284]~P103(f326(f326(f241(a872),x62841),x62842))+P103(f326(f326(f241(a1),f326(f105(a1),x62841)),f326(f105(a1),x62842)))
% 149.08/148.75 [6285]~P103(f326(f326(f241(a1),x62851),x62852))+P103(f326(f326(f241(a1),f326(f108(a1),x62851)),f326(f108(a1),x62852)))
% 149.08/148.75 [6286]~P103(f326(f326(f92(a1),x62861),x62862))+P103(f326(f326(f92(a1),f326(f108(a1),x62861)),f326(f108(a1),x62862)))
% 149.08/148.75 [6304]~P103(f326(f326(f240(a872),x63041),x63042))+~P103(f326(f326(f240(a872),f326(a117,x63042)),x63041))
% 149.08/148.75 [6348]~P103(f326(f326(f240(a872),f326(a117,x63481)),f326(a117,x63482)))+P103(f326(f326(f240(a872),x63481),x63482))
% 149.08/148.75 [6349]~P103(f326(f326(f240(a104),f326(a3,x63491)),f326(a3,x63492)))+P103(f326(f326(f240(a872),x63491),x63492))
% 149.08/148.75 [6350]~P103(f326(f326(f240(a872),f326(a19,x63501)),f326(a19,x63502)))+P103(f326(f326(f240(a104),x63501),x63502))
% 149.08/148.75 [6352]~P103(f326(f326(f241(a872),f326(a117,x63521)),f326(a117,x63522)))+P103(f326(f326(f241(a872),x63521),x63522))
% 149.08/148.75 [6353]~P103(f326(f326(f241(a104),f326(a3,x63531)),f326(a3,x63532)))+P103(f326(f326(f241(a872),x63531),x63532))
% 149.08/148.75 [6354]~P103(f326(f326(f241(a872),f326(a109,x63541)),f326(a109,x63542)))+P103(f326(f326(f241(a1),x63541),x63542))
% 149.08/148.75 [6355]~P103(f326(f326(f241(a872),f326(a19,x63551)),f326(a19,x63552)))+P103(f326(f326(f241(a104),x63551),x63552))
% 149.08/148.75 [6395]~P103(f326(f326(f241(a872),f326(a109,x63952)),f326(a109,x63951)))+P103(f326(f326(f241(a1),f2(a1)),x63951))
% 149.08/148.75 [6426]P103(f326(f326(f240(a1),f2(a1)),f45(a1,x64261,x64262)))+~P103(f326(f326(f241(a1),f2(a1)),x64262))
% 149.08/148.75 [6584]P37(x65841,x65842)+~E(f326(f326(f283(x65841,x65841,x65841),x65842),x65842),f190(f880(f879(x65841,x65841),a866)))
% 149.08/148.75 [6596]~P37(x65961,x65962)+P37(x65961,f326(f326(f283(x65961,x65961,x65961),x65962),x65962))
% 149.08/148.75 [6608]P103(f326(f326(f240(a1),x66081),x66082))+~P103(f326(f326(f241(a1),x66081),f326(f326(f81(a1),x66082),f79(a1))))
% 149.08/148.75 [6609]P103(f326(f326(f241(a1),x66091),x66092))+~P103(f326(f326(f240(a1),x66091),f326(f326(f22(a1),x66092),f79(a1))))
% 149.08/148.75 [6612]P103(f326(f326(f240(a872),x66121),x66122))+~P103(f326(f326(f240(a1),f326(f105(a1),x66121)),f326(f105(a1),x66122)))
% 149.08/148.75 [6613]P103(f326(f326(f240(a1),x66131),x66132))+~P103(f326(f326(f240(a1),f326(f108(a1),x66131)),f326(f108(a1),x66132)))
% 149.08/148.75 [6615]P103(f326(f326(f241(a872),x66151),x66152))+~P103(f326(f326(f241(a1),f326(f105(a1),x66151)),f326(f105(a1),x66152)))
% 149.08/148.75 [6616]P103(f326(f326(f241(a1),x66161),x66162))+~P103(f326(f326(f241(a872),f326(f108(a872),x66161)),f326(f108(a872),x66162)))
% 149.08/148.75 [6617]P103(f326(f326(f241(a1),x66171),x66172))+~P103(f326(f326(f241(a1),f326(f108(a1),x66171)),f326(f108(a1),x66172)))
% 149.08/148.75 [6618]P103(f326(f326(f92(a1),x66181),x66182))+~P103(f326(f326(f92(a1),f326(f108(a1),x66181)),f326(f108(a1),x66182)))
% 149.08/148.75 [6711]~E(f736(x67112,x67111),f118(x67111))+E(f326(f138(f873(x67111),f873(x67111),f126(x67111),f118(x67111)),x67112),f118(x67111))
% 149.08/148.75 [6712]~E(f738(x67122,x67121),f118(x67121))+E(f326(f138(f873(x67121),f873(x67121),f126(x67121),f118(x67121)),x67122),f118(x67121))
% 149.08/148.75 [6719]~P26(x67191)+E(f326(f138(x67191,x67191,f115(x67191),f190(x67191)),x67192),f40(x67191,f326(f168(x67191),x67192)))
% 149.08/148.75 [6720]~P26(x67201)+E(f326(f138(x67201,x67201,f106(x67201),f249(x67201)),x67202),f41(x67201,f326(f168(x67201),x67202)))
% 149.08/148.75 [6732]E(x67321,f2(a104))+E(f326(f326(f81(a872),f326(a19,f326(f326(f22(a104),x67321),f79(a104)))),f326(a117,x67322)),f326(f326(f81(a872),f326(a19,x67321)),x67322))
% 149.08/148.75 [6782]P103(f326(f326(f241(a1),f326(f326(f22(a1),x67821),x67822)),f2(a1)))+~P103(f326(f326(f241(a1),x67821),x67822))
% 149.08/148.75 [6809]~P105(x68091)+E(f326(f326(f115(f880(x68091,a866)),f326(f326(f304(x68091),x68092),f190(f880(x68091,a866)))),f326(f298(x68091),x68092)),f326(f248(x68091),x68092))
% 149.08/148.75 [6884]~P55(x68841,x68842)+P37(x68841,f326(f246(f879(x68841,x68841)),f326(f265(x68841,x68841,a866),x68842)))
% 149.08/148.75 [6885]~P55(x68851,x68852)+P53(x68851,f326(f246(f879(x68851,x68851)),f326(f265(x68851,x68851,a866),x68852)))
% 149.08/148.75 [6886]E(x68861,f190(f880(x68862,a866)))+~P103(f326(f326(f240(f880(x68862,a866)),x68861),f190(f880(x68862,a866))))
% 149.08/148.75 [6969]~P103(f326(f326(f241(a872),f2(a872)),x69692))+P103(f326(f326(f240(a872),f45(a872,x69691,x69692)),x69692))
% 149.08/148.75 [6970]~P103(f326(f326(f240(a1),f2(a1)),x69701))+P103(f326(f326(f240(a1),f45(a1,x69701,x69702)),x69701))
% 149.08/148.75 [6971]~P103(f326(f326(f241(a872),f2(a872)),x69712))+P103(f326(f326(f241(a872),f45(a872,x69711,x69712)),x69712))
% 149.08/148.75 [6973]~P103(f326(f326(f241(a1),f2(a1)),x69732))+P103(f326(f326(f241(a1),f45(a1,x69731,x69732)),x69732))
% 149.08/148.75 [7051]~P107(x70511)+E(f326(f326(f22(f880(x70511,a866)),f326(f326(f304(x70511),x70512),f190(f880(x70511,a866)))),f326(f247(x70511),x70512)),f326(f326(f304(x70511),x70512),f190(f880(x70511,a866))))
% 149.08/148.75 [7124]~P49(x71241,x71242)+P47(x71241,f249(f880(x71241,a866)),f326(f246(f879(x71241,x71241)),f326(f265(x71241,x71241,a866),x71242)))
% 149.08/148.75 [7125]P103(f326(x71251,x71252))+P103(f326(f326(f328(f880(f879(a872,a872),a866)),f603(x71252,x71251)),a103))
% 149.08/148.75 [7170]E(f326(f326(f126(a872),f135(a872,f326(f296(a872,x71701),x71702))),f326(f326(f147(a872),x71702),f118(a872))),f135(a872,f326(f296(a872,x71701),f326(a117,x71702))))+~P103(f326(f326(f240(a872),x71701),x71702))
% 149.08/148.75 [7311]E(x73111,f2(a872))+~E(f326(f138(a872,a872,f81(a872),x73111),x73112),f2(a872))
% 149.08/148.75 [7339]~P103(f326(f326(f241(a1),f326(f326(f22(a1),x73391),x73392)),f2(a1)))+P103(f326(f326(f241(a1),x73391),x73392))
% 149.08/148.75 [7368]P37(x73681,x73682)+~P37(x73681,f326(f326(f283(x73681,x73681,x73681),x73682),x73682))
% 149.08/148.75 [7397]~P103(f326(f326(f240(a872),f326(a117,x73971)),x73972))+P103(f187(a866,a244,f326(f240(a872),x73971),x73972))
% 149.08/148.75 [7555]P21(a872,a872,f326(f326(f7(a872,a872,a872),f22(a872)),x75551),x75552)+P103(f326(f326(f328(a872),f608(x75551,x75552)),x75552))
% 149.08/148.75 [7611]E(f326(f326(f326(f66(a872,x76111,f81(a872)),f326(f16(a872,x76111),f79(a872))),f2(a872)),x76112),f326(f38(x76111),x76112))+~P103(f326(f62(x76111),x76112))
% 149.08/148.75 [7653]P21(a872,a872,f326(f326(f7(a872,a872,a872),f22(a872)),x76531),x76532)+~P103(f326(f326(f240(a872),x76531),f608(x76531,x76532)))
% 149.08/148.75 [7711]P37(x77111,x77112)+P103(f326(f326(f240(f880(x77111,a866)),f601(x77112,x77111)),f326(f280(x77111,x77111,x77112),f601(x77112,x77111))))
% 149.08/148.75 [7716]P55(x77161,x77162)+~P37(x77161,f326(f246(f879(x77161,x77161)),f326(f265(x77161,x77161,a866),x77162)))
% 149.08/148.75 [7785]P103(f326(f326(f240(a872),f326(a117,x77851)),x77852))+~P103(f187(a866,a244,f326(f240(a872),x77851),x77852))
% 149.08/148.75 [7839]P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x78391),x78392)),f302(a872,a316)))+~P103(f326(f326(f240(a872),x78391),x78392))
% 149.08/148.75 [7936]P49(x79361,x79362)+~P47(x79361,f249(f880(x79361,a866)),f326(f246(f879(x79361,x79361)),f326(f265(x79361,x79361,a866),x79362)))
% 149.08/148.75 [7996]~P103(f326(f133(x79961),x79962))+P103(f326(f133(f880(x79961,a866)),f326(f326(f150(f873(x79961),f880(x79961,a866)),f168(x79961)),f54(x79961,x79962))))
% 149.08/148.75 [8201]~P37(x82011,f326(f281(x82011,x82011),x82012))+P37(x82011,f326(f281(x82011,x82011),f326(f326(f283(x82011,x82011,x82011),x82012),f302(x82011,x82012))))
% 149.08/148.75 [8322]P103(f326(f62(f879(x83221,x83221)),f326(f326(f283(x83221,x83221,x83221),x83222),f302(x83221,x83222))))+~P103(f326(f62(f879(x83221,x83221)),x83222))
% 149.08/148.75 [8354]E(x83541,f2(a1))+P103(f326(f49(x83542,x83541),f326(f326(f261(a1,a1),f326(f326(f39(a1),x83542),x83541)),f45(a1,x83542,x83541))))
% 149.08/148.75 [8365]~P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x83651),x83652)),f302(a872,a316)))+P103(f326(f326(f240(a872),x83651),x83652))
% 149.08/148.75 [8383]~P81(x83831)+E(f326(f138(x83831,x83831,f326(f7(x83831,x83831,x83831),f81(x83831)),f2(x83831)),f326(f165(x83831),x83832)),f326(f138(x83831,x83831,f81(x83831),f2(x83831)),x83832))
% 149.08/148.75 [8560]~P105(x85601)+E(f326(f138(f873(x85601),x85601,f326(f7(x85601,f873(x85601),f873(x85601)),f144(x85601,x85601,f5(x85601))),f118(x85601)),x85602),f146(x85601,x85601,f5(x85601),x85602))
% 149.08/148.75 [8661]~P53(x86611,f326(f246(f879(x86611,x86611)),f326(f265(x86611,x86611,a866),x86612)))+P53(x86611,f326(f246(f879(x86611,x86611)),f326(f265(x86611,x86611,a866),f250(x86611,x86611,x86612))))
% 149.08/148.75 [8675]P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x86751),x86752)),f326(f326(f283(a872,a872,a872),a316),f302(a872,a316))))+~P103(f326(f326(f241(a872),x86751),x86752))
% 149.08/148.75 [8718]~P103(f326(f62(f879(x87181,x87181)),f326(f326(f283(x87181,x87181,x87181),x87182),f302(x87181,x87182))))+P103(f326(f62(f879(x87181,x87181)),x87182))
% 149.08/148.75 [8770]~P53(x87701,f326(f246(f879(x87701,x87701)),f326(f265(x87701,x87701,a866),f250(x87701,x87701,x87702))))+P53(x87701,f326(f246(f879(x87701,x87701)),f326(f265(x87701,x87701,a866),x87702)))
% 149.08/148.75 [8973]P53(x89731,x89732)+P103(f326(f326(f328(f879(x89731,x89731)),f326(f326(f261(x89731,x89731),f634(x89732,x89731)),f634(x89732,x89731))),f326(f326(f283(x89731,x89731,x89731),x89732),f302(x89731,x89732))))
% 149.08/148.75 [8974]P53(x89741,x89742)+P103(f326(f326(f328(f879(x89741,x89741)),f326(f326(f261(x89741,x89741),f644(x89742,x89741)),f644(x89742,x89741))),f326(f326(f283(x89741,x89741,x89741),x89742),f302(x89741,x89742))))
% 149.08/148.75 [9090]~P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x90901),x90902)),f326(f326(f283(a872,a872,a872),a316),f302(a872,a316))))+P103(f326(f326(f241(a872),x90901),x90902))
% 149.08/148.75 [5054]~P93(x50541)+E(f326(f326(f81(x50541),f326(f108(x50541),a84)),x50542),x50542)
% 149.08/148.75 [5082]~P86(x50821)+E(f326(f326(f115(x50821),f326(f80(x50821),x50822)),x50822),f249(x50821))
% 149.08/148.75 [5083]~P65(x50831)+E(f326(f326(f81(x50831),f326(f80(x50831),x50832)),x50832),f2(x50831))
% 149.08/148.75 [5084]~P71(x50841)+E(f326(f326(f81(x50841),f326(f80(x50841),x50842)),x50842),f2(x50841))
% 149.08/148.75 [5085]~P86(x50851)+E(f326(f326(f106(x50851),f326(f80(x50851),x50852)),x50852),f190(x50851))
% 149.08/148.75 [5117]~P93(x51171)+E(f326(f326(f82(x51171),f326(f108(x51171),a102)),x51172),f326(f80(x51171),x51172))
% 149.08/148.75 [5289]~P110(x52891)+E(f326(f326(f82(x52891),f326(f80(x52891),f79(x52891))),x52892),f326(f80(x52891),x52892))
% 149.08/148.75 [5332]E(f326(f76(a1),x53321),f79(a1))+~E(f326(f76(a1),f326(f326(f82(a1),x53321),x53322)),f79(a1))
% 149.08/148.75 [5425]~P93(x54251)+E(f326(f326(f81(x54251),f79(x54251)),f326(f108(x54251),x54252)),f326(f108(x54251),f326(f326(f22(a1),x54252),a102)))
% 149.08/148.75 [5479]~P76(x54791)+E(f10(x54791,f326(f326(f304(x54791),x54792),f190(f880(x54791,a866)))),x54792)
% 149.08/148.75 [5480]~P26(x54801)+E(f40(x54801,f326(f326(f304(x54801),x54802),f190(f880(x54801,a866)))),x54802)
% 149.08/148.75 [5481]~P76(x54811)+E(f11(x54811,f326(f326(f304(x54811),x54812),f190(f880(x54811,a866)))),x54812)
% 149.08/148.75 [5482]~P26(x54821)+E(f41(x54821,f326(f326(f304(x54821),x54822),f190(f880(x54821,a866)))),x54822)
% 149.08/148.75 [5483]~P105(x54831)+E(f14(x54831,f326(f326(f304(x54831),x54832),f190(f880(x54831,a866)))),x54832)
% 149.08/148.75 [5484]~P105(x54841)+E(f15(x54841,f326(f326(f304(x54841),x54842),f190(f880(x54841,a866)))),x54842)
% 149.08/148.75 [5506]E(f326(f326(f81(a872),x55061),f326(f326(f22(a872),x55062),x55061)),x55062)+P103(f326(f326(f241(a872),x55062),x55061))
% 149.08/148.75 [5536]E(x55361,f118(x55362))+P103(f326(f326(f241(a872),f2(a872)),f326(f191(f873(x55362)),x55361)))
% 149.08/148.75 [5660]~P105(x56601)+E(f12(x56601,f239(x56601),f326(f326(f304(x56601),x56602),f190(f880(x56601,a866)))),x56602)
% 149.08/148.75 [5661]~P105(x56611)+E(f13(x56611,f238(x56611),f326(f326(f304(x56611),x56612),f190(f880(x56611,a866)))),x56612)
% 149.08/148.75 [5723]E(f326(f326(f22(a872),x57231),f326(f326(f22(a872),x57231),x57232)),x57232)+~P103(f326(f326(f240(a872),x57232),x57231))
% 149.08/148.75 [5724]E(f326(f326(f81(a872),x57241),f326(f326(f22(a872),x57242),x57241)),x57242)+~P103(f326(f326(f240(a872),x57241),x57242))
% 149.08/148.75 [5745]E(f45(a872,f326(f326(f22(a872),x57451),x57452),x57452),f45(a872,x57451,x57452))+P103(f326(f326(f241(a872),x57451),x57452))
% 149.08/148.75 [5756]E(f326(f80(a1),f326(f326(f39(a1),x57561),f326(f80(a1),x57562))),f286(x57561,x57562))+P103(f326(f326(f240(a1),f2(a1)),x57562))
% 149.08/148.75 [5758]~E(x57582,f2(a872))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f251(a872),x57581),x57582)))
% 149.08/148.75 [5809]~P93(x58091)+E(f326(f326(f81(x58091),f326(f80(x58091),f79(x58091))),f326(f108(x58091),x58092)),f326(f108(x58091),f326(f326(f81(a1),x58092),a102)))
% 149.08/148.75 [5810]E(f326(f326(f251(a872),f326(f108(a872),x58101)),x58102),f326(f326(f251(a872),f2(a872)),x58102))+~P103(f326(a196,f326(f108(a1),x58101)))
% 149.08/148.75 [5907]E(f326(f137(a872),f135(a872,f326(f296(a872,x59071),x59072))),x59071)+~P103(f326(f326(f241(a872),x59071),x59072))
% 149.08/148.75 [5927]E(f326(f326(f82(a872),f326(f108(a872),x59271)),f326(f108(a872),x59272)),f326(f108(a872),f326(f326(f82(a1),x59271),x59272)))+P103(f326(f326(f241(a1),x59271),a84))
% 149.08/148.75 [5933]~P121(x59331)+P103(f326(f326(f240(x59331),f2(x59331)),f326(f326(f82(x59331),x59332),x59332)))
% 149.08/148.75 [5945]E(f326(f326(f22(a872),f326(a117,x59451)),x59452),f326(a117,f326(f326(f22(a872),x59451),x59452)))+~P103(f326(f326(f240(a872),x59452),x59451))
% 149.08/148.75 [5948]E(f45(a872,f326(f326(f22(a872),x59481),x59482),x59482),f45(a872,x59481,x59482))+~P103(f326(f326(f240(a872),x59482),x59481))
% 149.08/148.75 [6002]E(f326(f326(f251(a872),f326(a109,x60021)),x60022),f326(a109,f326(f326(f251(a1),x60021),x60022)))+~P103(f326(f326(f240(a1),f2(a1)),x60021))
% 149.08/148.75 [6018]P103(f326(f133(x60181),x60182))+P103(f326(f326(f241(a872),f685(x60182,x60181)),f326(f191(f873(x60181)),x60182)))
% 149.08/148.75 [6019]P103(f326(f133(x60191),x60192))+P103(f326(f326(f241(a872),f690(x60192,x60191)),f326(f191(f873(x60191)),x60192)))
% 149.08/148.75 [6034]~E(x60341,f118(x60342))+~P103(f326(f326(f241(a872),f2(a872)),f326(f191(f873(x60342)),x60341)))
% 149.08/148.75 [6048]E(f140(a872,f135(a872,f326(f296(a872,x60481),x60482))),f326(f326(f22(a872),x60482),f79(a872)))+~P103(f326(f326(f241(a872),x60481),x60482))
% 149.08/148.75 [6051]E(f326(f326(f81(a1),x60511),f326(f105(a1),f326(a117,f377(x60512,x60511)))),x60512)+~P103(f326(f326(f241(a1),x60511),x60512))
% 149.08/148.75 [6058]E(x60581,f2(a872))+E(f326(f326(f82(a872),x60582),f326(f326(f251(a872),x60582),f326(f326(f22(a872),x60581),f79(a872)))),f326(f326(f251(a872),x60582),x60581))
% 149.08/148.75 [6084]E(f326(f326(f82(a872),f326(a109,x60841)),f326(a109,x60842)),f326(a109,f326(f326(f82(a1),x60841),x60842)))+~P103(f326(f326(f240(a1),f2(a1)),x60841))
% 149.08/148.75 [6085]E(f326(f326(f39(a872),f326(a109,x60851)),f326(a109,x60852)),f326(a109,f326(f326(f39(a1),x60851),x60852)))+~P103(f326(f326(f240(a1),f2(a1)),x60851))
% 149.08/148.75 [6099]~P114(x60991)+E(f326(f326(f81(x60991),x60992),x60992),f326(f326(f82(x60991),f326(f326(f81(x60991),f79(x60991)),f79(x60991))),x60992))
% 149.08/148.75 [6116]E(f326(f326(f22(a1),f326(f105(a1),x61161)),f326(f105(a1),x61162)),f326(f105(a1),f326(f326(f22(a872),x61161),x61162)))+~P103(f326(f326(f240(a872),x61162),x61161))
% 149.08/148.75 [6118]E(f326(f326(f261(a1,a1),f326(f108(a1),a102)),f326(f326(f81(a1),x61181),x61182)),f50(x61181,x61182))+~P103(f326(f326(f240(a1),x61182),f2(a1)))
% 149.08/148.75 [6158]E(f176(x61581,x61582),f118(f873(x61581)))+P103(f326(f326(f328(f873(x61581)),f684(x61582,x61581)),f326(f168(f873(x61581)),x61582)))
% 149.08/148.75 [6241]E(f326(f326(f147(a1),x62411),f175(f326(f326(f81(a1),x62411),f79(a1)),x62412)),f175(x62411,x62412))+~P103(f326(f326(f240(a1),x62411),x62412))
% 149.08/148.75 [6278]~P103(f326(f326(f241(a872),x62782),x62781))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f22(a872),x62781),x62782)))
% 149.08/148.75 [6309]~P103(f326(f326(f241(a872),x63091),f326(a109,x63092)))+P103(f326(f326(f241(a1),f326(f105(a1),x63091)),x63092))
% 149.08/148.75 [6340]~P105(x63401)+E(f326(f326(f115(f880(x63401,a866)),f326(f247(x63401),x63402)),f326(f326(f304(x63401),x63402),f190(f880(x63401,a866)))),f326(f295(x63401),x63402))
% 149.08/148.75 [6341]~P103(f326(f326(f240(a1),f2(a1)),x63411))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f251(a1),x63411),x63412)))
% 149.08/148.75 [6344]~P103(f326(f326(f241(a872),f2(a872)),x63441))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f251(a872),x63441),x63442)))
% 149.08/148.75 [6371]~E(f326(x63711,f2(a872)),f2(a872))+E(f326(f326(f6(a872,a872),x63711),f297(a872,f326(a117,f2(a872)),x63712)),f326(f326(f6(a872,a872),x63711),f297(a872,f2(a872),x63712)))
% 149.08/148.75 [6434]~P93(x64341)+E(f326(f326(f82(x64341),f326(f326(f81(x64341),f79(x64341)),f79(x64341))),f326(f108(x64341),x64342)),f326(f108(x64341),f326(f326(f81(a1),x64342),x64342)))
% 149.08/148.75 [6450]E(f326(f326(f304(a1),x64501),f297(a1,f326(f326(f81(a1),x64501),f79(a1)),x64502)),f297(a1,x64501,x64502))+P103(f326(f326(f241(a1),x64502),x64501))
% 149.08/148.75 [6451]P103(f326(f326(f241(a872),x64511),f326(a109,x64512)))+~P103(f326(f326(f241(a1),f326(f105(a1),x64511)),x64512))
% 149.08/148.75 [6552]E(f326(a109,f326(f326(f39(a1),f326(f108(a1),x65521)),f326(f108(a1),x65522))),f326(f326(f39(a872),f326(f108(a872),x65521)),f326(f108(a872),x65522)))+P103(f326(a196,f326(f108(a1),x65521)))
% 149.08/148.75 [6610]P103(f326(f326(f241(a872),x66101),x66102))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f22(a872),x66102),x66101)))
% 149.08/148.75 [6654]P103(f326(f326(f241(a872),f2(a872)),x66541))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f82(a872),x66542),x66541)))
% 149.08/148.75 [6655]P103(f326(f326(f241(a872),f2(a872)),x66551))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f82(a872),x66551),x66552)))
% 149.08/148.75 [6672]~P103(f326(f326(f240(a1),x66721),f2(a1)))+E(f326(f326(f82(a872),f326(a109,f326(f80(a1),x66721))),f326(a109,f326(f80(a1),x66722))),f326(a109,f326(f326(f82(a1),x66721),x66722)))
% 149.08/148.75 [6730]~E(x67302,f190(f880(x67301,a866)))+P103(f326(f326(f240(f880(x67301,a866)),x67302),f326(f80(f880(x67301,a866)),x67302)))
% 149.08/148.75 [6793]~P93(x67931)+E(f326(f326(f81(x67931),f326(f326(f81(x67931),f2(x67931)),f326(f108(x67931),x67932))),f326(f108(x67931),x67932)),f326(f108(x67931),f326(f326(f81(a1),x67932),x67932)))
% 149.08/148.75 [6849]~P103(f326(f326(f241(a1),x68491),x68492))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x68491),f79(a1))),x68492))
% 149.08/148.75 [6916]E(x69161,f2(a872))+~P103(f326(f326(f240(a1),f326(f105(a1),x69162)),f326(f80(a1),f326(f105(a1),x69161))))
% 149.08/148.75 [6917]E(x69171,f2(a872))+~P103(f326(f326(f240(a1),f326(f105(a1),x69171)),f326(f80(a1),f326(f105(a1),x69172))))
% 149.08/148.75 [7022]E(f326(f326(f261(a1,a1),f326(f108(a1),a102)),f326(f326(f81(a1),x70221),x70222)),f50(x70221,x70222))+~P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),x70221),x70222)))
% 149.08/148.75 [7064]~P22(x70641,x70642)+P37(x70641,f326(f260(f880(f879(x70641,x70641),a866),f880(f879(x70641,x70641),a866)),x70642))
% 149.08/148.75 [7082]~P103(f326(f326(f240(a872),f326(a117,f2(a872))),x70821))+P103(f326(f326(f240(a872),f326(a117,f2(a872))),f326(f326(f251(a872),x70821),x70822)))
% 149.08/148.75 [7252]~P103(f326(f326(f240(a1),x72521),x72522))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x72521),x72521)),f326(f326(f81(a1),x72522),x72522)))
% 149.08/148.75 [7257]~P103(f326(f326(f241(a1),x72571),x72572))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x72571),x72571)),f326(f326(f81(a1),x72572),x72572)))
% 149.08/148.75 [7258]~P103(f326(f326(f92(a1),x72581),x72582))+P103(f326(f326(f92(a1),f326(f326(f81(a1),x72581),x72581)),f326(f326(f81(a1),x72582),x72582)))
% 149.08/148.75 [7313]~P103(f326(f326(f241(a872),f2(a872)),x73131))+P103(f326(f326(f241(a872),f326(f326(f22(a872),x73131),f326(a117,x73132))),x73131))
% 149.08/148.75 [7350]P103(f326(f326(f240(a872),f326(a117,f2(a872))),x73501))+~P103(f326(f326(f240(a872),f326(a117,f2(a872))),f326(f326(f82(a872),x73502),x73501)))
% 149.08/148.75 [7351]P103(f326(f326(f240(a872),f326(a117,f2(a872))),x73511))+~P103(f326(f326(f240(a872),f326(a117,f2(a872))),f326(f326(f82(a872),x73511),x73512)))
% 149.08/148.75 [7355]P103(f326(f326(f240(a872),f326(f326(f161(a872),x73551),x73552)),f326(f162(a872),x73551)))+~P103(f326(f326(f241(a872),x73552),f326(f191(f873(a872)),x73551)))
% 149.08/148.75 [7396]P103(f326(f326(f241(a1),x73961),x73962))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x73961),f79(a1))),x73962))
% 149.08/148.75 [7441]P103(f326(f62(x74411),f249(f880(x74411,a866))))+~P103(f326(f62(f880(x74412,x74411)),f249(f880(f880(x74412,x74411),a866))))
% 149.08/148.75 [7442]P103(f326(f62(x74421),f249(f880(x74421,a866))))+~P103(f326(f62(f878(x74422,x74421)),f249(f880(f878(x74422,x74421),a866))))
% 149.08/148.75 [7443]P103(f326(f62(x74431),f249(f880(x74431,a866))))+~P103(f326(f62(f878(x74431,x74432)),f249(f880(f878(x74431,x74432),a866))))
% 149.08/148.75 [7485]E(x74851,f190(f880(x74852,a866)))+~P103(f326(f326(f240(f880(x74852,a866)),x74851),f326(f80(f880(x74852,a866)),x74851)))
% 149.08/148.75 [7621]E(f326(f138(f873(x76211),f873(x76211),f126(x76211),f118(x76211)),x76212),f118(x76211))+P103(f326(f326(f328(f873(x76211)),f736(x76212,x76211)),f326(f168(f873(x76211)),x76212)))
% 149.08/148.75 [7622]E(f326(f138(f873(x76221),f873(x76221),f126(x76221),f118(x76221)),x76222),f118(x76221))+P103(f326(f326(f328(f873(x76221)),f738(x76222,x76221)),f326(f168(f873(x76221)),x76222)))
% 149.08/148.75 [7856]P103(f326(f326(f240(a1),x78561),x78562))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x78561),x78561)),f326(f326(f81(a1),x78562),x78562)))
% 149.08/148.75 [7861]P103(f326(f326(f241(a1),x78611),x78612))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x78611),x78611)),f326(f326(f81(a1),x78612),x78612)))
% 149.08/148.75 [7862]P103(f326(f326(f92(a1),x78621),x78622))+~P103(f326(f326(f92(a1),f326(f326(f81(a1),x78621),x78621)),f326(f326(f81(a1),x78622),x78622)))
% 149.08/148.75 [7956]~P114(x79561)+E(f326(f326(f82(x79561),f326(f326(f81(x79561),f79(x79561)),f79(x79561))),f326(f326(f6(a872,x79561),f105(x79561)),f297(a872,f79(a872),x79562))),f326(f326(f82(x79561),f326(f105(x79561),x79562)),f326(f326(f81(x79561),f326(f105(x79561),x79562)),f79(x79561))))
% 149.08/148.75 [8012]P103(f326(f326(f328(a872),x80121),x80122))+~P103(f326(f326(f328(a1),f326(f105(a1),x80121)),f326(f305(a872,a1,f105(a1)),x80122)))
% 149.08/148.75 [8172]~P103(f326(f62(x81721),x81722))+E(f326(f305(a872,x81721,f450(x81722,x81721)),f326(f246(a872),f326(f326(f7(a872,a872,a866),f241(a872)),f438(x81722,x81721)))),x81722)
% 149.08/148.75 [8462]P48(x84621,x84622)+P103(f326(f326(f328(f879(x84621,x84621)),f326(f326(f261(x84621,x84621),f519(x84622,x84621)),f519(x84622,x84621))),x84622))
% 149.08/148.75 [8601]~P93(x86011)+E(f326(f326(f22(x86011),f79(x86011)),f326(f108(x86011),x86012)),f326(f108(x86011),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f80(a1),x86012))))
% 149.08/148.75 [8715]~P103(f326(f326(f241(f880(a872,a866)),x87151),x87152))+P103(f326(f326(f241(f880(a1,a866)),f326(f305(a872,a1,f105(a1)),x87151)),f326(f305(a872,a1,f105(a1)),x87152)))
% 149.08/148.75 [8744]~P103(f326(f326(f241(a1),x87441),x87442))+P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x87441),x87441)),a102)),f326(f326(f81(a1),x87442),x87442)))
% 149.08/148.75 [8746]~P103(f326(f326(f241(a1),x87461),x87462))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x87461),x87461)),a102)),f326(f326(f81(a1),x87462),x87462)))
% 149.08/148.75 [8817]~P103(f326(f326(f328(a872),x88171),f326(f168(a872),x88172)))+P103(f326(f326(f240(a872),x88171),f326(f138(a872,a872,f81(a872),f2(a872)),x88172)))
% 149.08/148.75 [8910]P44(x89101,x89102)+~P103(f326(f326(f328(f879(x89101,x89101)),f326(f326(f261(x89101,x89101),f515(x89102,x89101)),f515(x89102,x89101))),x89102))
% 149.08/148.75 [9056]~P103(f326(f326(f240(f880(a1,a866)),f326(f305(a872,a1,f105(a1)),x90561)),f326(f305(a872,a1,f105(a1)),x90562)))+P103(f326(f326(f240(f880(a872,a866)),x90561),x90562))
% 149.08/148.75 [9057]~P103(f326(f326(f241(f880(a1,a866)),f326(f305(a872,a1,f105(a1)),x90571)),f326(f305(a872,a1,f105(a1)),x90572)))+P103(f326(f326(f241(f880(a872,a866)),x90571),x90572))
% 149.08/148.75 [9137]P103(f326(f326(f241(a1),x91371),x91372))+~P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x91371),x91371)),a102)),f326(f326(f81(a1),x91372),x91372)))
% 149.08/148.75 [9139]P103(f326(f326(f241(a1),x91391),x91392))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x91391),x91391)),a102)),f326(f326(f81(a1),x91392),x91392)))
% 149.08/148.75 [10042]~P103(f326(f62(x100421),x100422))+E(f326(f191(f873(x100421)),f91(f873(x100421),f326(f326(f18(f873(x100421),a866,a866),f326(f326(f8(a866,f880(a866,a866),f873(x100421)),a324),f326(f326(f7(f873(x100421),f880(x100421,a866),a866),f326(f326(f8(f880(x100421,a866),f880(f880(x100421,a866),a866),f873(x100421)),a323),f168(x100421))),x100422))),f133(x100421)))),f219(x100421,x100422))
% 149.08/148.75 [10178]~P20(a867,x101781,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),x101782),f197(x101782))),f190(f880(f871(a867),a866))))+P20(a867,x101781,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),f326(f326(f8(f880(a867,f880(a867,a866)),f880(a867,a866),a867),f326(f8(f880(a867,a866),a866,a867),f89(a867))),f326(f326(f8(f880(a867,a866),f880(a867,f880(a867,a866)),a867),f326(f7(a867,f880(a867,a866),f880(a867,a866)),f326(f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),a867),f18(a867,a866,a866)),f326(f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),a867),f326(f8(a866,f880(a866,a866),a867),a329)),f197(x101782))))),a323))),x101782),a323)),f190(f880(f871(a867),a866))))
% 149.08/148.75 [6047]E(f326(f326(f81(a872),f326(f326(f22(a872),x60471),x60472)),x60472),x60471)+~P103(f326(f326(f240(a872),x60472),x60471))
% 149.08/148.75 [6112]E(f326(f326(f39(a872),f326(f326(f82(a872),x61121),x61122)),x61122),x61121)+~P103(f326(f326(f241(a872),f2(a872)),x61122))
% 149.08/148.75 [6113]E(f326(f326(f39(a872),f326(f326(f82(a872),x61131),x61132)),x61131),x61132)+~P103(f326(f326(f241(a872),f2(a872)),x61131))
% 149.08/148.75 [6117]~P72(x61171)+E(f326(f326(f6(a872,x61171),f326(f161(x61171),x61172)),f326(f296(a872,f2(a872)),f326(f191(f873(x61171)),x61172))),f326(f162(x61171),x61172))
% 149.08/148.75 [6233]E(f45(a872,f326(a117,f326(f326(f82(a872),x62331),x62332)),x62331),f79(a872))+~P103(f326(f326(f241(a872),f79(a872)),x62331))
% 149.08/148.75 [6239]E(f326(a117,f326(f326(f81(a872),f326(f108(a872),x62391)),x62392)),f326(f326(f81(a872),f79(a872)),x62392))+~P103(f326(a196,f326(f108(a1),x62391)))
% 149.08/148.75 [6267]E(f326(a109,f326(f326(f251(a1),f326(f108(a1),x62671)),x62672)),f326(f326(f251(a872),f326(f108(a872),x62671)),x62672))+P103(f326(a196,f326(f108(a1),x62671)))
% 149.08/148.75 [6504]E(f326(f326(f22(a872),x65041),f326(f108(a872),f326(f326(f81(a1),x65042),a102))),f326(f326(f22(a872),f326(a117,x65041)),f326(f108(a872),x65042)))+~P103(f326(f326(f241(a1),a84),x65042))
% 149.08/148.75 [6583]E(x65831,f2(a872))+E(f326(a117,f326(f326(f81(a872),f326(f326(f22(a872),x65831),f79(a872))),x65832)),f326(f326(f81(a872),x65831),x65832))
% 149.08/148.75 [6624]E(x66241,f2(a1))+P103(f326(f326(f241(a1),f2(a1)),f326(f326(f251(a1),f326(f76(a1),x66241)),x66242)))
% 149.08/148.75 [6639]~E(x66392,f2(a872))+P103(f326(f326(f241(a1),f2(a1)),f326(f326(f251(a1),f326(f76(a1),x66391)),x66392)))
% 149.08/148.75 [6676]E(x66761,f2(a872))+E(f326(f326(f81(a872),x66762),f326(f326(f82(a872),f326(f326(f22(a872),x66761),f79(a872))),x66762)),f326(f326(f82(a872),x66761),x66762))
% 149.08/148.75 [6724]~P103(f326(f326(f240(a1),x67241),x67242))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x67241),a102)),x67242))
% 149.08/148.75 [6852]E(f326(f326(f147(a872),x68521),f135(a872,f326(f296(a872,f326(a117,x68521)),x68522))),f135(a872,f326(f296(a872,x68521),x68522)))+~P103(f326(f326(f241(a872),x68521),x68522))
% 149.08/148.75 [7055]E(x70551,x70552)+~E(f326(f326(f22(a1),f326(f326(f81(a1),x70551),x70551)),a102),f326(f326(f22(a1),f326(f326(f81(a1),x70552),x70552)),a102))
% 149.08/148.75 [7058]E(x70581,f118(x70582))+E(f270(x70582,f326(f326(f150(x70582,f879(a104,x70582)),f326(f261(a104,x70582),f79(a104))),x70581)),f277(x70582,x70581))
% 149.08/148.75 [7282]P103(f326(f326(f240(a1),x72821),x72822))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x72821),a102)),x72822))
% 149.08/148.75 [7762]~P103(f326(f326(f241(a872),x77621),x77622))+P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x77621),x77622)),a245))
% 149.08/148.75 [7984]~P103(f326(f326(f241(a104),f2(a104)),x79841))+P103(f326(f326(f241(a104),f326(f260(a104,f879(a104,a104)),f326(f271(x79841),x79842))),x79841))
% 149.08/148.75 [8300]~P84(x83001)+P103(f326(f326(f240(x83001),f326(f76(x83001),f326(f162(x83001),x83002))),f326(f162(x83001),f326(f326(f150(x83001,x83001),f76(x83001)),x83002))))
% 149.08/148.75 [8324]P103(f326(f326(f241(a872),x83241),x83242))+~P103(f326(f326(f328(f879(a872,a872)),f326(f326(f261(a872,a872),x83241),x83242)),a245))
% 149.08/148.75 [8485]E(f326(f326(f261(x84851,x84851),f642(x84852,x84851)),f642(x84852,x84851)),x84852)+~P103(f326(f326(f328(f879(x84851,x84851)),x84852),f302(x84851,f190(f880(f879(x84851,x84851),a866)))))
% 149.08/148.75 [8526]E(f326(f296(a872,x85261),f326(f326(f81(a872),x85261),f326(f38(a872),x85262))),x85262)+~P103(f326(f326(f240(f880(a872,a866)),x85262),f326(f296(a872,x85261),f326(f326(f81(a872),x85261),f326(f38(a872),x85262)))))
% 149.08/148.75 [8856]E(f326(f326(f39(a1),f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x88561),x88561)),a102))),f326(f108(a1),f326(f326(f81(a1),x88562),x88562))),f326(f326(f39(a1),f326(f108(a1),x88561)),f326(f108(a1),x88562)))+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x88562)))
% 149.08/148.75 [8984]E(f173(f873(x89841),f326(f326(f8(a866,a866,f873(x89841)),a321),f326(f326(f7(f873(x89841),f873(x89841),a866),a323),f118(x89841))),x89842),f176(x89841,f176(x89841,x89842)))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x89841),a872),f191(f873(x89841))),x89842)))
% 149.08/148.75 [8987]E(f326(f326(f39(a1),f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x89871),x89871)),a102))),f326(f108(a1),f326(f326(f81(a1),x89872),x89872))),f326(f326(f39(a1),f326(f326(f81(a1),f326(f108(a1),x89871)),f79(a1))),f326(f108(a1),x89872)))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x89872)))
% 149.08/148.75 [9818]P103(f326(a196,x98182))+E(f326(f326(f87(a1,a872),f326(f326(f22(a1),x98181),x98182)),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f2(a872))),a109)),f326(f326(f22(a872),f326(a109,x98181)),f326(a109,x98182)))
% 149.08/148.75 [9826]E(f326(f326(f87(a1,a872),f326(f108(a1),f326(f326(f81(a1),x98261),f326(f80(a1),x98262)))),f326(f326(f18(a1,a872,a872),f326(f326(f7(a1,a872,f880(a872,a872)),f326(f326(f8(a866,f880(a872,f880(a872,a872)),a1),f101(a872)),a196)),f2(a872))),a109)),f326(f326(f22(a872),f326(f108(a872),x98261)),f326(f108(a872),x98262)))+P103(f326(f326(f241(a1),x98262),a84))
% 149.08/148.75 [9827]~P22(x98271,x98272)+P103(f326(f326(f240(f880(f879(x98271,x98271),a866)),f326(f326(f283(x98271,x98271,x98271),f326(f260(f880(f879(x98271,x98271),a866),f880(f879(x98271,x98271),a866)),x98272)),f326(f264(f880(f879(x98271,x98271),a866),f880(f879(x98271,x98271),a866)),x98272))),f326(f260(f880(f879(x98271,x98271),a866),f880(f879(x98271,x98271),a866)),x98272)))
% 149.08/148.75 [9893]~E(f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,f880(a872,a866),a866),f328(a872)),x98931))),f326(f326(f7(a872,a872,a866),f241(a872)),f326(a117,x98932))))),f2(a872))+~P103(f326(f326(f328(a872),f2(a872)),x98931))
% 149.08/148.75 [9949]E(f45(a1,f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x99491),x99491)),a102)),f326(f108(a1),f326(f326(f81(a1),x99492),x99492))),f326(f326(f81(a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a1,f326(f108(a1),x99491),f326(f108(a1),x99492)))),f79(a1)))+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x99492)))
% 149.08/148.75 [9958]E(f45(a1,f326(f108(a1),f326(f326(f22(a1),f326(f326(f81(a1),x99581),x99581)),a102)),f326(f108(a1),f326(f326(f81(a1),x99582),x99582))),f326(f326(f22(a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a1,f326(f326(f81(a1),f326(f108(a1),x99581)),f79(a1)),f326(f108(a1),x99582)))),f79(a1)))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x99582)))
% 149.08/148.75 [10010]~P26(x100101)+E(f40(x100101,f326(f246(x100101),f326(f326(f8(f880(x100101,a866),a866,x100101),f89(x100101)),f326(f326(f8(f880(x100101,a866),f880(x100101,a866),x100101),f326(f18(x100101,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100101),a329),f326(f326(f7(x100101,f880(x100101,a866),a866),f328(x100101)),x100102)))),f240(x100101))))),f41(x100101,x100102))
% 149.08/148.75 [10035]~P37(x100351,x100352)+P55(x100351,f326(f326(f7(x100351,f880(f879(x100351,x100351),a866),f880(x100351,a866)),f326(f326(f8(f880(x100351,f880(f880(f879(x100351,x100351),a866),a866)),f880(f880(f879(x100351,x100351),a866),f880(x100351,a866)),x100351),f7(x100351,f880(f879(x100351,x100351),a866),a866)),f326(f326(f8(f880(x100351,f879(x100351,x100351)),f880(x100351,f880(f880(f879(x100351,x100351),a866),a866)),x100351),f326(f8(f879(x100351,x100351),f880(f880(f879(x100351,x100351),a866),a866),x100351),f328(f879(x100351,x100351)))),f261(x100351,x100351)))),x100352))
% 149.08/148.75 [10036]~P3(x100361,f249(f880(x100361,a866)),x100362)+P2(x100361,f326(f326(f7(x100361,f880(f879(x100361,x100361),a866),f880(x100361,a866)),f326(f326(f8(f880(x100361,f880(f880(f879(x100361,x100361),a866),a866)),f880(f880(f879(x100361,x100361),a866),f880(x100361,a866)),x100361),f7(x100361,f880(f879(x100361,x100361),a866),a866)),f326(f326(f8(f880(x100361,f879(x100361,x100361)),f880(x100361,f880(f880(f879(x100361,x100361),a866),a866)),x100361),f326(f8(f879(x100361,x100361),f880(f880(f879(x100361,x100361),a866),a866),x100361),f328(f879(x100361,x100361)))),f261(x100361,x100361)))),x100362))
% 149.08/148.75 [10073]P37(x100731,x100732)+~P55(x100731,f326(f326(f7(x100731,f880(f879(x100731,x100731),a866),f880(x100731,a866)),f326(f326(f8(f880(x100731,f880(f880(f879(x100731,x100731),a866),a866)),f880(f880(f879(x100731,x100731),a866),f880(x100731,a866)),x100731),f7(x100731,f880(f879(x100731,x100731),a866),a866)),f326(f326(f8(f880(x100731,f879(x100731,x100731)),f880(x100731,f880(f880(f879(x100731,x100731),a866),a866)),x100731),f326(f8(f879(x100731,x100731),f880(f880(f879(x100731,x100731),a866),a866),x100731),f328(f879(x100731,x100731)))),f261(x100731,x100731)))),x100732))
% 149.08/148.75 [10074]P3(x100741,f249(f880(x100741,a866)),x100742)+~P2(x100741,f326(f326(f7(x100741,f880(f879(x100741,x100741),a866),f880(x100741,a866)),f326(f326(f8(f880(x100741,f880(f880(f879(x100741,x100741),a866),a866)),f880(f880(f879(x100741,x100741),a866),f880(x100741,a866)),x100741),f7(x100741,f880(f879(x100741,x100741),a866),a866)),f326(f326(f8(f880(x100741,f879(x100741,x100741)),f880(x100741,f880(f880(f879(x100741,x100741),a866),a866)),x100741),f326(f8(f879(x100741,x100741),f880(f880(f879(x100741,x100741),a866),a866),x100741),f328(f879(x100741,x100741)))),f261(x100741,x100741)))),x100742))
% 149.08/148.75 [7233]E(f326(f326(f81(a872),f326(f108(a872),f326(f326(f22(a1),x72331),a102))),x72332),f326(a117,f326(f326(f81(a872),f326(f108(a872),x72331)),x72332)))+P103(f326(a196,f326(f108(a1),x72331)))
% 149.08/148.75 [7679]~P93(x76791)+E(f326(f326(f81(x76791),f326(f326(f81(x76791),f79(x76791)),f326(f108(x76791),x76792))),f326(f108(x76791),x76792)),f326(f108(x76791),f326(f326(f22(a1),f326(f326(f81(a1),x76792),x76792)),a102)))
% 149.08/148.75 [8326]~P103(f326(f326(f240(a1),x83261),x83262))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x83261),x83261)),f326(f326(f22(a1),f326(f326(f81(a1),x83262),x83262)),a102)))
% 149.08/148.75 [8328]~P103(f326(f326(f240(a1),x83281),x83282))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x83281),x83281)),f326(f326(f22(a1),f326(f326(f81(a1),x83282),x83282)),a102)))
% 149.08/148.75 [8748]P103(f326(f326(f240(a1),x87481),x87482))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x87481),x87481)),f326(f326(f22(a1),f326(f326(f81(a1),x87482),x87482)),a102)))
% 149.08/148.75 [8750]P103(f326(f326(f240(a1),x87501),x87502))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),x87501),x87501)),f326(f326(f22(a1),f326(f326(f81(a1),x87502),x87502)),a102)))
% 149.08/148.75 [9044]~P103(f326(f326(f240(a1),x90441),x90442))+P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90441),x90441)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x90442),x90442)),a102)))
% 149.08/148.75 [9046]~P103(f326(f326(f241(a1),x90461),x90462))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90461),x90461)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x90462),x90462)),a102)))
% 149.08/148.75 [9047]~P103(f326(f326(f92(a1),x90471),x90472))+P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x90471),x90471)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x90472),x90472)),a102)))
% 149.08/148.75 [9310]P103(f326(f326(f240(a1),x93101),x93102))+~P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),x93101),x93101)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x93102),x93102)),a102)))
% 149.08/148.75 [9312]P103(f326(f326(f241(a1),x93121),x93122))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),x93121),x93121)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x93122),x93122)),a102)))
% 149.08/148.75 [9313]P103(f326(f326(f92(a1),x93131),x93132))+~P103(f326(f326(f92(a1),f326(f326(f22(a1),f326(f326(f81(a1),x93131),x93131)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),x93132),x93132)),a102)))
% 149.08/148.75 [9345]~P103(f326(f62(x93451),x93452))+P103(f326(f62(f880(x93451,a866)),f326(f246(f880(x93451,a866)),f326(f326(f7(f880(x93451,a866),f880(x93451,a866),a866),f240(f880(x93451,a866))),x93452))))
% 149.08/148.75 [9393]~E(f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),x93931),f190(f880(f879(a872,a872),a866)))),f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),x93932),f190(f880(f879(a872,a872),a866)))))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x93931),x93932)),a113))
% 149.08/148.75 [9477]E(f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),x94771),f190(f880(f879(a872,a872),a866)))),f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),x94772),f190(f880(f879(a872,a872),a866)))))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x94771),x94772)),a113))
% 149.08/148.75 [9513]P103(f326(f326(f240(a1),f2(a1)),f666(x95131,x95132)))+E(f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95131)),f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95132)))
% 149.08/148.75 [10020]~P26(x100201)+E(f41(x100201,f326(f246(x100201),f326(f326(f8(f880(x100201,a866),a866,x100201),f89(x100201)),f326(f326(f8(f880(x100201,a866),f880(x100201,a866),x100201),f326(f18(x100201,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100201),a329),f326(f326(f7(x100201,f880(x100201,a866),a866),f328(x100201)),x100202)))),f326(f7(x100201,x100201,a866),f240(x100201)))))),f40(x100201,x100202))
% 149.08/148.75 [10041]P103(f326(f326(f328(a872),f2(a872)),x100411))+E(f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),a872),f328(a872)),a117)),x100411))),f326(f326(f7(a872,a872,a866),f241(a872)),x100412)))),f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,f880(a872,a866),a866),f328(a872)),x100411))),f326(f326(f7(a872,a872,a866),f241(a872)),f326(a117,x100412))))))
% 149.08/148.75 [7549]~P93(x75491)+E(f326(f326(f82(x75491),x75492),f326(f108(x75491),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),x75492)
% 149.08/148.75 [7809]~P93(x78091)+E(f326(f326(f81(x78091),f326(f108(x78091),x78092)),f79(x78091)),f326(f108(x78091),f326(f326(f81(a1),x78092),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))
% 149.08/148.75 [7954]P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x79542)))+E(f326(f326(f251(a1),x79541),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x79542),x79542)),a102))),f79(a1))
% 149.08/148.75 [9371]~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x93712)))+E(f326(f326(f251(a1),x93711),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x93712),x93712)),a102))),f326(f326(f87(a1,a1),f326(f326(f251(a1),x93711),f326(f108(a872),x93712))),f326(f326(f18(a1,a1,a1),f326(f326(f8(a1,f880(a1,a1),a1),f82(a1)),f326(f82(a1),x93711))),f5(a1))))
% 149.08/148.75 [9733]~P103(f326(f326(f240(a872),f809(x97332,x97331)),f326(x97331,f809(x97332,x97331))))+P103(f326(f62(a872),f326(f246(a872),f326(f326(f7(a872,a872,a866),f326(f326(f8(a872,f880(a872,a866),a872),f240(a872)),x97331)),x97332))))
% 149.08/148.75 [9883]~P103(f326(f326(f240(a872),f326(f108(a872),x98831)),f326(a117,x98832)))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x98831),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),f240(a872)),a109)),x98832))))
% 149.08/148.75 [9884]~P103(f326(f326(f241(a872),f326(f108(a872),x98841)),f326(a117,x98842)))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x98841),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),f241(a872)),a109)),x98842))))
% 149.08/148.75 [9933]P103(f326(f326(f240(a872),f326(f108(a872),x99331)),f326(a117,x99332)))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x99331),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),f240(a872)),a109)),x99332))))
% 149.08/148.75 [9934]P103(f326(f326(f241(a872),f326(f108(a872),x99341)),f326(a117,x99342)))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x99341),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),f241(a872)),a109)),x99342))))
% 149.08/148.75 [9964]~P103(f326(f326(f240(a872),f326(a117,x99642)),f326(f108(a872),x99641)))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x99641),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f8(a872,a866,a1),f326(f240(a872),x99642)),a109)))))
% 149.08/148.75 [9965]~P103(f326(f326(f241(a872),f326(a117,x99652)),f326(f108(a872),x99651)))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x99651),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f8(a872,a866,a1),f326(f241(a872),x99652)),a109)))))
% 149.08/148.75 [10008]P103(f326(f326(f240(a872),f326(a117,x100081)),f326(f108(a872),x100082)))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x100082),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f8(a872,a866,a1),f326(f240(a872),x100081)),a109)))))
% 149.08/148.75 [10009]P103(f326(f326(f241(a872),f326(a117,x100091)),f326(f108(a872),x100092)))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x100092),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f8(a872,a866,a1),f326(f241(a872),x100091)),a109)))))
% 149.08/148.75 [10081]~P103(f326(f326(f328(a872),f2(a872)),x100811))+E(f326(a117,f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,f880(a872,a866),a866),f326(f326(f8(a872,f880(f880(a872,a866),a866),a872),f328(a872)),a117)),x100811))),f326(f326(f7(a872,a872,a866),f241(a872)),x100812))))),f326(f38(a872),f326(f246(a872),f326(f326(f18(a872,a866,a866),f326(f326(f8(a866,f880(a866,a866),a872),a324),f326(f326(f7(a872,f880(a872,a866),a866),f328(a872)),x100811))),f326(f326(f7(a872,a872,a866),f241(a872)),f326(a117,x100812))))))
% 149.08/148.75 [8510]~P93(x85101)+E(f326(f326(f82(x85101),f326(f108(x85101),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),x85102),x85102)
% 149.08/148.75 [8569]~P93(x85691)+E(f326(f326(f81(x85691),f79(x85691)),f326(f108(x85691),x85692)),f326(f108(x85691),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),x85692)))
% 149.08/148.75 [8627]~P93(x86271)+E(f326(f326(f22(x86271),f326(f108(x86271),x86272)),f79(x86271)),f326(f108(x86271),f326(f326(f81(a1),x86272),f326(f80(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [8766]~P103(f326(f326(f241(a872),f326(f108(a872),a84)),x87662))+E(f326(f326(f22(a872),x87661),f326(f326(f22(a872),x87662),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f22(a872),f326(a117,x87661)),x87662))
% 149.08/148.75 [9409]~P114(x94091)+E(f326(f326(f82(x94091),x94092),x94092),f326(f326(f251(x94091),x94092),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9410]~P80(x94101)+E(f326(f326(f251(x94101),x94102),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f82(x94101),x94102),x94102))
% 149.08/148.75 [9412]~P93(x94121)+E(f326(f326(f82(x94121),x94122),f326(f108(x94121),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f81(x94121),x94122),x94122))
% 149.08/148.75 [9652]~P138(x96521)+E(f326(f326(f251(x96521),f326(f80(x96521),x96522)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f251(x96521),x96522),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9653]~P109(x96531)+E(f326(f326(f251(x96531),f326(f76(x96531),x96532)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f251(x96531),x96532),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9649]~P93(x96491)+E(f326(f326(f82(x96491),f326(f108(x96491),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x96492),f326(f326(f81(x96491),x96492),x96492))
% 149.08/148.75 [9773]~P109(x97731)+E(f326(f76(x97731),f326(f326(f251(x97731),x97732),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x97731),x97732),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9835]~P109(x98351)+P103(f326(f326(f240(x98351),f2(x98351)),f326(f326(f251(x98351),x98352),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.75 [9999]~E(f326(a117,x99992),f326(f108(a872),x99991))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x99991),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),a323),a109)),x99992)))))
% 149.08/148.75 [10000]~E(f326(f108(a872),x100001),f326(a117,x100002))+P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x100001),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),a323),a109)),x100002)))))
% 149.08/148.75 [10044]E(f326(a117,x100441),f326(f108(a872),x100442))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x100442),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),a323),a109)),x100441)))))
% 149.08/148.75 [10045]E(f326(f108(a872),x100451),f326(a117,x100452))+~P103(f326(f326(f87(a1,a866),f326(f108(a1),f326(f326(f81(a1),x100451),a102))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a329),f326(f326(f8(a866,a866,a1),a321),a196))),f326(f326(f7(a1,a872,a866),f326(f326(f8(a872,f880(a872,a866),a1),a323),a109)),x100452)))))
% 149.08/148.75 [9832]~P93(x98321)+E(f326(f326(f251(x98321),f326(f108(x98321),a102)),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x98322)),f79(x98321))
% 149.08/148.75 [9833]~P138(x98331)+E(f326(f326(f251(x98331),f326(f80(x98331),f79(x98331))),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x98332)),f79(x98331))
% 149.08/148.75 [9837]~P80(x98371)+E(f326(f326(f251(x98371),x98372),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),a102))),f326(f326(f82(x98371),f326(f326(f82(x98371),x98372),x98372)),x98372))
% 149.08/148.75 [10023]~P103(f326(f326(f240(a1),f2(a1)),x100232))+E(f45(a1,f326(f326(f81(a1),f79(a1)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100231)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100232)),f326(f326(f81(a1),f79(a1)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a1,x100231,x100232))))
% 149.08/148.75 [10047]~P103(f326(f326(f240(a1),f2(a1)),x100472))+E(f326(f326(f39(a1),f326(f326(f81(a1),f79(a1)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100471))),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100472)),f326(f326(f39(a1),x100471),x100472))
% 149.08/148.75 [10049]~P103(f326(f326(f240(a1),x100492),f2(a1)))+E(f326(f326(f39(a1),f326(f326(f81(a1),f79(a1)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100491))),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100492)),f326(f326(f39(a1),f326(f326(f81(a1),x100491),f79(a1))),x100492))
% 149.08/148.75 [10050]~P103(f326(f326(f240(a1),x100502),f2(a1)))+E(f45(a1,f326(f326(f81(a1),f79(a1)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100501)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100502)),f326(f326(f22(a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f45(a1,f326(f326(f81(a1),x100501),f79(a1)),x100502))),f79(a1)))
% 149.08/148.75 [9924]~P93(x99241)+E(f326(f326(f251(x99241),f326(f108(x99241),a102)),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99242))),f326(f108(x99241),a102))
% 149.08/148.75 [9926]~P138(x99261)+E(f326(f326(f251(x99261),f326(f80(x99261),f79(x99261))),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99262))),f326(f80(x99261),f79(x99261)))
% 149.08/148.75 [5090]~P20(x50901,x50902,x50903)+P23(x50901,x50902,x50903)
% 149.08/148.75 [8027]~E(x80272,x80273)+P34(x80271,x80271,a323,x80272,x80273)
% 149.08/148.75 [8582]E(x85821,x85822)+~P34(x85823,x85823,a323,x85821,x85822)
% 149.08/148.75 [5095]~P37(x50951,x50953)+P37(x50951,f320(x50951,x50952,x50953))
% 149.08/148.75 [5270]P29(x52701,x52702,x52703)+~P29(x52701,f326(a117,x52702),x52703)
% 149.08/148.75 [5357]~P3(x53571,x53572,x53573)+P3(f873(x53571),f157(x53571,x53572),f154(x53571,x53573))
% 149.08/148.75 [5358]~P47(x53581,x53582,x53583)+P47(f873(x53581),f157(x53581,x53582),f154(x53581,x53583))
% 149.08/148.75 [5470]P50(x54701,x54702,x54703)+~E(f621(x54703,x54702,x54701),f622(x54703,x54702,x54701))
% 149.08/148.75 [5471]P51(x54711,x54712,x54713)+~E(f637(x54713,x54712,x54711),f638(x54713,x54712,x54711))
% 149.08/148.75 [6409]P23(x64091,x64092,x64093)+~P29(x64091,f604(x64093,x64092,x64091),f607(x64093,x64092,x64091))
% 149.08/148.75 [4645]~E(x46451,f193(x46452))+~E(x46451,f326(f233(x46452),x46453))
% 149.08/148.75 [4694]~E(f326(f165(x46942),x46941),x46943)+E(x46941,f326(f165(x46942),x46943))
% 149.08/148.75 [4695]~E(x46952,f326(f165(x46951),x46953))+E(f326(f165(x46951),x46952),x46953)
% 149.08/148.75 [4742]E(x47421,x47422)+~E(f326(f233(x47423),x47421),f326(f233(x47423),x47422))
% 149.08/148.75 [4743]E(x47431,x47432)+~E(f326(f165(x47433),x47431),f326(f165(x47433),x47432))
% 149.08/148.75 [4949]~P2(x49493,x49491)+P103(f326(f326(x49491,x49492),x49492))
% 149.08/148.75 [4950]~P49(x49503,x49501)+P103(f326(f326(x49501,x49502),x49502))
% 149.08/148.75 [4952]~P55(x49521,x49522)+P103(f326(f314(x49521,x49522),x49523))
% 149.08/148.75 [5014]~P37(x50141,x50142)+P37(f873(x50141),f326(f139(x50141,x50142),x50143))
% 149.08/148.75 [5019]~P103(f326(x50192,x50193))+~E(f326(f246(x50191),x50192),f190(f880(x50191,a866)))
% 149.08/148.75 [5020]~P103(f326(x50202,x50203))+~E(f190(f880(x50201,a866)),f326(f246(x50201),x50202))
% 149.08/148.75 [5051]~P103(f326(x50511,x50513))+P103(f326(x50511,f91(x50512,x50511)))
% 149.08/148.75 [5176]~E(x51762,x51763)+P103(f326(f326(f328(x51761),x51762),f326(a323,x51763)))
% 149.08/148.75 [5188]P103(f326(x51881,x51882))+~P103(f326(x51881,f572(x51881,x51883)))
% 149.08/148.75 [5234]E(f326(f165(x52341),x52342),f326(f326(f147(x52341),x52343),f118(x52341)))+~E(x52342,f326(f326(f147(x52341),x52343),f118(x52341)))
% 149.08/148.75 [5235]~E(x52353,f326(f326(f147(x52351),x52352),f118(x52351)))+E(f326(f326(f147(x52351),x52352),f118(x52351)),f326(f165(x52351),x52353))
% 149.08/148.75 [5263]~E(x52633,f326(f16(f876(x52632),x52631),f193(x52632)))+E(f180(x52631,x52632,x52633),f190(f880(x52631,a866)))
% 149.08/148.75 [5284]~P33(x52841,x52842,x52843)+P33(x52841,x52842,f326(f165(x52841),x52843))
% 149.08/148.75 [5285]~P31(x52851,x52852,x52853)+P31(x52851,x52852,f326(f165(x52851),x52853))
% 149.08/148.75 [5288]E(f326(f38(x52881),f770(x52882,x52883,x52881)),x52882)+~E(f326(f38(x52881),x52883),f326(a117,x52882))
% 149.08/148.75 [5294]~P37(x52941,x52943)+P103(f326(f326(f328(x52941),x52942),f315(x52941,x52943)))
% 149.08/148.75 [5297]~E(f326(f165(x52972),x52971),f326(f326(f147(x52972),x52973),f118(x52972)))+E(x52971,f326(f326(f147(x52972),x52973),f118(x52972)))
% 149.08/148.75 [5298]~E(f326(f326(f147(x52982),x52983),f118(x52982)),f326(f165(x52982),x52981))+E(x52981,f326(f326(f147(x52982),x52983),f118(x52982)))
% 149.08/148.75 [5313]E(x53131,f326(f16(f876(x53132),x53133),f193(x53132)))+~E(f180(x53133,x53132,x53131),f190(f880(x53133,a866)))
% 149.08/148.75 [5320]E(f86(f879(a872,a872),f48(x53201,x53202)),x53203)+~P103(f326(f48(x53201,x53202),x53203))
% 149.08/148.75 [5328]~E(x53283,f326(f233(x53281),x53282))+P103(f326(f326(f328(x53281),x53282),f232(x53281,x53283)))
% 149.08/148.75 [5361]P33(x53611,x53612,x53613)+~P33(x53611,x53612,f326(f165(x53611),x53613))
% 149.08/148.75 [5362]P31(x53621,x53622,x53623)+~P31(x53621,x53622,f326(f165(x53621),x53623))
% 149.08/148.75 [5424]~E(x54242,f118(x54241))+P103(f326(f326(f328(f873(x54241)),x54242),f157(x54241,x54243)))
% 149.08/148.75 [5431]~P47(x54311,x54312,x54313)+P47(x54311,x54312,f326(f281(x54311,x54311),x54313))
% 149.08/148.75 [5432]~P51(x54321,x54322,x54323)+P51(x54321,x54322,f326(f281(x54321,x54321),x54323))
% 149.08/148.75 [5451]~P56(x54511)+E(f45(x54511,f45(x54511,x54512,x54513),x54513),f45(x54511,x54512,x54513))
% 149.08/148.75 [5547]E(x55471,x55472)+~P103(f326(f326(f328(x55473),x55471),f326(a323,x55472)))
% 149.08/148.75 [5592]~P142(x55921)+E(f192(x55921,x55922,f2(a872),x55923),x55923)
% 149.08/148.75 [5612]P47(x56121,x56122,x56123)+~P47(x56121,x56122,f326(f281(x56121,x56121),x56123))
% 149.08/148.75 [5613]P51(x56131,x56132,x56133)+~P51(x56131,x56132,f326(f281(x56131,x56131),x56133))
% 149.08/148.75 [5617]~P105(x56172)+E(f146(x56171,x56172,x56173,f118(x56171)),f118(x56171))
% 149.08/148.75 [5630]E(f166(x56301,x56302,f148(x56301,x56303)),f148(x56301,f166(x56301,x56302,x56303)))+~P103(f326(f133(x56301),x56303))
% 149.08/148.75 [5636]E(x56361,f326(f233(x56362),x56363))+~P103(f326(f326(f328(x56362),x56363),f232(x56362,x56361)))
% 149.08/148.75 [5721]~P103(f326(a25,x57213))+P103(f326(a25,f30(x57211,x57212,x57213)))
% 149.08/148.75 [5732]E(f326(f132(x57321,x57322),x57323),f118(x57321))+P103(f326(x57322,f691(x57323,x57322,x57321)))
% 149.08/148.75 [5875]~P103(f326(f133(x58751),x58753))+P103(f326(f133(x58751),f166(x58751,x58752,x58753)))
% 149.08/148.75 [5876]~P103(f326(f133(x58761),x58762))+P103(f326(f133(x58761),f172(x58761,x58762,x58763)))
% 149.08/148.75 [5877]~P103(f326(f133(x58771),x58773))+P103(f326(f133(x58771),f173(x58771,x58772,x58773)))
% 149.08/148.75 [5878]~P103(f326(f133(x58781),x58783))+P103(f326(f133(x58781),f136(x58781,x58782,x58783)))
% 149.08/148.75 [5879]~P144(x58791,x58793,x58792)+P103(f326(x58791,f45(a1,x58792,x58793)))
% 149.08/148.75 [5898]~P33(x58983,x58981,x58982)+P103(f326(x58981,f774(x58982,x58981,x58983)))
% 149.08/148.75 [5899]~P35(x58993,x58991,x58992)+P103(f326(x58991,f801(x58992,x58991,x58993)))
% 149.08/148.75 [5921]E(f326(f132(x59211,x59212),x59213),f173(x59211,x59212,x59213))+P103(f326(x59212,f749(x59213,x59212,x59211)))
% 149.08/148.75 [5963]~P103(f326(f133(x59631),x59633))+P103(f326(f133(f873(x59631)),f55(x59631,x59632,x59633)))
% 149.08/148.75 [5985]P103(f326(a25,f29(x59851,x59852,x59853)))+~P103(f326(a25,f326(a26,x59852)))
% 149.08/148.75 [5997]~P107(x59971)+E(f326(f326(f106(f880(x59971,a866)),f326(f247(x59971),x59972)),f297(x59971,x59972,x59973)),f190(f880(x59971,a866)))
% 149.08/148.75 [5998]~P107(x59981)+E(f326(f326(f106(f880(x59981,a866)),f326(f295(x59981),x59982)),f300(x59981,x59982,x59983)),f190(f880(x59981,a866)))
% 149.08/148.75 [5999]~P107(x59991)+E(f326(f326(f106(f880(x59991,a866)),f326(f295(x59991),x59992)),f299(x59991,x59992,x59993)),f190(f880(x59991,a866)))
% 149.08/148.75 [6146]P103(f326(a25,x61461))+~P103(f326(a25,f30(x61462,x61463,x61461)))
% 149.08/148.75 [6148]P103(f326(a25,x61481))+~P103(f326(a25,f31(x61482,x61483,x61481)))
% 149.08/148.75 [6150]P103(f326(a25,x61501))+~P103(f326(a25,f31(x61502,x61501,x61503)))
% 149.08/148.75 [6229]E(f326(f132(x62291,x62292),x62293),x62293)+~P103(f326(x62292,f692(x62293,x62292,x62291)))
% 149.08/148.75 [6231]E(f326(f326(f304(x62311),f857(x62312,x62313,x62311)),f770(x62312,x62313,x62311)),x62313)+~E(f326(f38(x62311),x62313),f326(a117,x62312))
% 149.08/148.75 [6247]P144(x62471,x62472,x62473)+~P103(f326(x62471,f45(a1,x62473,x62472)))
% 149.08/148.75 [6294]P31(x62941,x62942,x62943)+~P103(f326(x62942,f788(x62942,x62943,x62941)))
% 149.08/148.75 [6295]P31(x62951,x62952,x62953)+~P103(f326(x62952,f798(x62953,x62952,x62951)))
% 149.08/148.75 [6296]P31(x62961,x62962,x62963)+~P103(f326(x62962,f799(x62963,x62962,x62961)))
% 149.08/148.75 [6298]E(f173(x62981,x62982,x62983),x62983)+~P103(f326(x62982,f735(x62983,x62982,x62981)))
% 149.08/148.75 [6336]~P103(f326(a25,f29(x63362,x63361,x63363)))+P103(f326(a25,f326(a26,x63361)))
% 149.08/148.75 [6378]~P103(f326(x63782,f598(x63783,x63782,x63781)))+P103(f326(f254(x63781,x63782),x63783))
% 149.08/148.75 [6379]~P103(f326(x63792,f751(x63793,x63792,x63791)))+P103(f326(f156(x63791,x63792),x63793))
% 149.08/148.75 [6625]~P103(f326(f314(x66251,x66252),f509(x66253,x66252,x66251)))+P103(f326(f314(x66251,x66252),x66253))
% 149.08/148.75 [6626]~P103(f326(f314(x66261,x66262),f518(x66263,x66262,x66261)))+P103(f326(f314(x66261,x66262),x66263))
% 149.08/148.75 [7234]~P56(x72341)+E(f326(f326(f81(x72341),f326(f326(f82(x72341),x72342),f326(f326(f39(x72341),x72343),x72342))),f45(x72341,x72343,x72342)),x72343)
% 149.08/148.75 [7703]E(f326(f326(f261(x77031,x77031),f545(x77032,x77033,x77031)),f545(x77032,x77033,x77031)),x77033)+~P103(f326(f326(f328(f879(x77031,x77031)),x77033),f258(x77031,x77032)))
% 149.08/148.75 [7817]~P103(f326(f326(f328(x78171),f558(x78173,x78172,x78171)),f315(x78171,x78173)))+P103(f326(f326(f328(x78171),x78172),f315(x78171,x78173)))
% 149.08/148.75 [7818]~P103(f326(f326(f328(x78181),f623(x78183,x78182,x78181)),f315(x78181,x78183)))+P103(f326(f326(f328(x78181),x78182),f315(x78181,x78183)))
% 149.08/148.75 [7819]~P103(f326(f326(f328(x78191),f625(x78193,x78192,x78191)),f315(x78191,x78193)))+P103(f326(f326(f328(x78191),x78192),f315(x78191,x78193)))
% 149.08/148.75 [8008]~P56(x80081)+E(f326(f326(f81(x80081),f326(f326(f82(x80081),f326(f326(f39(x80081),x80082),x80083)),x80083)),f45(x80081,x80082,x80083)),x80082)
% 149.08/148.75 [8053]~E(f326(f38(x80531),x80532),f326(a117,x80533))+~P103(f326(f326(f328(x80531),f857(x80533,x80532,x80531)),f770(x80533,x80532,x80531)))
% 149.08/148.75 [8677]P103(f326(f326(f240(f880(f879(x86771,x86771),a866)),f302(x86771,x86772)),f302(x86771,x86773)))+~P103(f326(f326(f240(f880(f879(x86771,x86771),a866)),x86772),f302(x86771,x86773)))
% 149.08/148.75 [8953]E(x89531,f118(x89532))+~P103(f326(f326(f328(f879(f873(x89532),f873(x89532))),f326(f326(f261(f873(x89532),f873(x89532)),x89531),f118(x89532))),f154(x89532,x89533)))
% 149.08/148.75 [8978]E(x89781,f118(x89782))+~P103(f326(f326(f328(f879(f873(x89782),f873(x89782))),f326(f326(f261(f873(x89782),f873(x89782)),f118(x89782)),x89781)),f154(x89782,x89783)))
% 149.08/148.75 [9101]E(f326(f326(f147(x91011),f714(x91012,x91013,x91011)),f715(x91012,x91013,x91011)),x91013)+~P103(f326(f326(f328(f879(f873(x91011),f873(x91011))),f326(f326(f261(f873(x91011),f873(x91011)),f118(x91011)),x91013)),f143(x91011,x91012)))
% 149.08/148.75 [9338]~P121(x93381)+~P103(f326(f326(f241(x93381),f326(f326(f81(x93381),f326(f326(f82(x93381),x93382),x93382)),f326(f326(f82(x93381),x93383),x93383))),f2(x93381)))
% 149.08/148.75 [9388]P103(f326(f62(x93881),x93882))+~P103(f326(f326(f328(f879(f880(x93881,a866),f880(x93881,a866))),f326(f326(f261(f880(x93881,a866),f880(x93881,a866)),x93883),x93882)),f301(x93881)))
% 149.08/148.75 [9674]~P45(x96741,x96742,x96743)+P103(f326(f326(f240(a1),f326(f326(f74(f879(a1,a1),a1,x96741,f260(a1,a1)),f217(x96741)),f228(x96741,x96742,f225(x96741,x96743)))),f2(a1)))
% 149.08/148.75 [9675]~P46(x96751,x96752,x96753)+P103(f326(f326(f241(a1),f326(f326(f74(f879(a1,a1),a1,x96751,f260(a1,a1)),f217(x96751)),f228(x96751,x96752,f225(x96751,x96753)))),f2(a1)))
% 149.08/148.75 [9802]P46(x98021,x98022,x98023)+~P103(f326(f326(f241(a1),f326(f326(f74(f879(a1,a1),a1,x98021,f260(a1,a1)),f217(x98021)),f228(x98021,x98022,f225(x98021,x98023)))),f2(a1)))
% 149.08/148.75 [9803]P45(x98031,x98032,x98033)+~P103(f326(f326(f240(a1),f326(f326(f74(f879(a1,a1),a1,x98031,f260(a1,a1)),f217(x98031)),f228(x98031,x98032,f225(x98031,x98033)))),f2(a1)))
% 149.08/148.75 [10124]~P109(x101241)+~P103(f326(f326(f241(x101241),f326(f326(f81(x101241),f326(f326(f251(x101241),x101242),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x101241),x101243),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f2(x101241)))
% 149.08/148.75 [4725]~E(x47253,f118(x47251))+E(f326(f326(f126(x47251),x47252),x47253),x47252)
% 149.08/148.75 [4726]~E(x47262,f118(x47261))+E(f326(f326(f126(x47261),x47262),x47263),x47263)
% 149.08/148.75 [4733]~E(x47332,f2(a872))+E(f326(f326(f171(x47331),x47332),x47333),f118(x47331))
% 149.08/148.75 [4737]~E(x47373,f118(x47371))+E(f326(f326(f171(x47371),x47372),x47373),f118(x47371))
% 149.08/148.75 [4777]~E(x47771,x47773)+E(x47771,f326(f326(f126(x47772),f118(x47772)),x47773))
% 149.08/148.75 [4865]~P24(x48652)+E(f326(f190(f880(x48651,x48652)),x48653),f190(x48652))
% 149.08/148.75 [4866]~P111(x48662)+E(f326(f249(f880(x48661,x48662)),x48663),f249(x48662))
% 149.08/148.75 [4886]E(x48861,f118(x48862))+~E(f326(f326(f126(x48862),x48863),x48861),x48863)
% 149.08/148.75 [4887]E(x48871,f118(x48872))+~E(f326(f326(f126(x48872),x48871),x48873),x48873)
% 149.08/148.75 [4895]E(x48951,f118(x48952))+~E(f326(f326(f126(x48952),x48953),x48951),f118(x48952))
% 149.08/148.75 [4896]E(x48961,f118(x48962))+~E(f326(f326(f126(x48962),x48961),x48963),f118(x48962))
% 149.08/148.75 [4919]~E(x49192,f2(a872))+E(f326(f326(f82(a872),x49191),x49192),f326(f326(f82(a872),x49193),x49192))
% 149.08/148.75 [4921]~E(x49211,f2(a872))+E(f326(f326(f82(a872),x49211),x49212),f326(f326(f82(a872),x49211),x49213))
% 149.08/148.75 [4975]~P63(x49751)+E(f326(f326(f115(x49751),x49752),x49753),f326(f326(f115(x49751),x49753),x49752))
% 149.08/148.75 [4976]~P76(x49761)+E(f326(f326(f115(x49761),x49762),x49763),f326(f326(f115(x49761),x49763),x49762))
% 149.08/148.75 [4977]~P114(x49771)+E(f326(f326(f81(x49771),x49772),x49773),f326(f326(f81(x49771),x49773),x49772))
% 149.08/148.75 [4978]~P76(x49781)+E(f326(f326(f106(x49781),x49782),x49783),f326(f326(f106(x49781),x49783),x49782))
% 149.08/148.75 [4980]~P100(x49801)+E(f326(f326(f106(x49801),x49802),x49803),f326(f326(f106(x49801),x49803),x49802))
% 149.08/148.75 [4981]~P114(x49811)+E(f326(f326(f82(x49811),x49812),x49813),f326(f326(f82(x49811),x49813),x49812))
% 149.08/148.75 [4983]~P105(x49831)+E(f326(f326(f238(x49831),x49832),x49833),f326(f326(f238(x49831),x49833),x49832))
% 149.08/148.75 [4985]~P105(x49851)+E(f326(f326(f239(x49851),x49852),x49853),f326(f326(f239(x49851),x49853),x49852))
% 149.08/148.75 [5046]E(f45(a872,x50461,x50462),f2(a872))+~E(x50461,f326(f326(f82(a872),x50462),x50463))
% 149.08/148.75 [5047]E(f45(a1,x50471,x50472),f2(a1))+~E(x50471,f326(f326(f82(a1),x50472),x50473))
% 149.08/148.75 [5107]E(x51071,x51072)+~E(f326(f326(f81(a872),x51073),x51071),f326(f326(f81(a872),x51073),x51072))
% 149.08/148.75 [5108]E(x51081,x51082)+~E(f326(f326(f81(a872),x51081),x51083),f326(f326(f81(a872),x51082),x51083))
% 149.08/148.75 [5118]~P65(x51181)+E(f326(f326(f81(x51181),x51182),f326(f80(x51181),x51183)),f326(f326(f22(x51181),x51182),x51183))
% 149.08/148.75 [5119]~P71(x51191)+E(f326(f326(f81(x51191),x51192),f326(f80(x51191),x51193)),f326(f326(f22(x51191),x51192),x51193))
% 149.08/148.75 [5120]~P110(x51201)+E(f326(f326(f81(x51201),x51202),f326(f80(x51201),x51203)),f326(f326(f22(x51201),x51202),x51203))
% 149.08/148.75 [5121]~P86(x51211)+E(f326(f326(f106(x51211),x51212),f326(f80(x51211),x51213)),f326(f326(f22(x51211),x51212),x51213))
% 149.08/148.75 [5122]~P71(x51221)+E(f326(f326(f22(x51221),x51222),f326(f80(x51221),x51223)),f326(f326(f81(x51221),x51222),x51223))
% 149.08/148.75 [5169]~P103(f326(x51693,x51692))+P103(f326(f326(f328(x51691),x51692),x51693))
% 149.08/148.75 [5171]~P72(x51712)+E(f326(f326(f6(x51711,x51712),x51713),f190(f880(x51711,a866))),f2(x51712))
% 149.08/148.75 [5173]~P73(x51732)+E(f326(f326(f9(x51731,x51732),x51733),f190(f880(x51731,a866))),f79(x51732))
% 149.08/148.75 [5222]~E(x52222,f326(f326(f81(a872),x52221),x52223))+P103(f326(f326(f240(a872),x52221),x52222))
% 149.08/148.75 [5225]~E(x52252,f190(f880(x52251,a866)))+E(f326(f326(f61(x52251),x52252),x52253),f190(f880(f880(x52251,a866),a866)))
% 149.08/148.75 [5226]~E(x52262,f190(f880(x52261,a866)))+E(f190(f880(f880(x52261,a866),a866)),f326(f326(f61(x52261),x52262),x52263))
% 149.08/148.75 [5302]~E(f326(f257(x53022,x53023),x53021),f190(f880(x53023,a866)))+E(x53021,f190(f880(f879(x53022,x53023),a866)))
% 149.08/148.75 [5303]~E(f326(f259(x53032,x53033),x53031),f190(f880(x53032,a866)))+E(x53031,f190(f880(f879(x53032,x53033),a866)))
% 149.08/148.75 [5334]E(f326(f257(x53341,x53342),x53343),f190(f880(x53342,a866)))+~E(x53343,f190(f880(f879(x53341,x53342),a866)))
% 149.08/148.75 [5335]E(f326(f259(x53351,x53352),x53353),f190(f880(x53351,a866)))+~E(x53353,f190(f880(f879(x53351,x53352),a866)))
% 149.08/148.75 [5339]E(f276(x53391,x53392,x53393),f326(f326(f22(a104),x53392),x53393))+P103(f326(f326(f241(a104),x53392),x53393))
% 149.08/148.75 [5355]P103(f326(x53551,x53552))+~P103(f326(f326(f328(x53553),x53552),x53551))
% 149.08/148.75 [5394]E(x53941,x53942)+~E(f326(f80(f880(x53943,a866)),x53941),f326(f80(f880(x53943,a866)),x53942))
% 149.08/148.75 [5399]E(f308(x53991,x53992,x53993),f193(f873(a322)))+~P103(f326(f326(f241(a1),x53992),x53993))
% 149.08/148.75 [5404]~E(x54041,f190(f880(x54042,a866)))+~P103(f326(f326(f328(x54042),x54043),x54041))
% 149.08/148.75 [5433]~E(x54332,f326(f326(f81(a1),x54331),f326(f105(a1),x54333)))+P103(f326(f326(f240(a1),x54331),x54332))
% 149.08/148.75 [5449]E(f326(f326(f304(x54491),x54492),x54493),x54493)+~P103(f326(f326(f328(x54491),x54492),x54493))
% 149.08/148.75 [5460]E(x54601,f190(f880(x54602,a866)))+~E(f326(f326(f61(x54602),x54601),x54603),f190(f880(f880(x54602,a866),a866)))
% 149.08/148.75 [5461]E(x54611,f190(f880(x54612,a866)))+~E(f190(f880(f880(x54612,a866),a866)),f326(f326(f61(x54612),x54611),x54613))
% 149.08/148.75 [5467]~P123(x54671)+E(f326(f326(f82(x54671),f326(f80(x54671),x54672)),f326(f80(x54671),x54673)),f326(f326(f82(x54671),x54672),x54673))
% 149.08/148.75 [5469]~P59(x54691)+E(f326(f326(f284(x54691),f326(f80(x54691),x54692)),f326(f80(x54691),x54693)),f326(f326(f284(x54691),x54692),x54693))
% 149.08/148.75 [5502]~P103(f326(x55023,x55022))+P103(f326(f326(f328(x55021),x55022),f326(f246(x55021),x55023)))
% 149.08/148.75 [5540]E(f166(x55401,x55402,x55403),x55403)+P103(f326(f326(f328(x55401),x55402),f326(f168(x55401),x55403)))
% 149.08/148.75 [5621]~P103(f326(f133(x56211),x56213))+P103(f326(f133(x56211),f326(f132(x56211,x56212),x56213)))
% 149.08/148.75 [5666]~P56(x56661)+E(f326(f326(f39(x56661),f45(x56661,x56662,x56663)),x56663),f2(x56661))
% 149.08/148.75 [5685]E(f172(x56851,f326(f326(f147(x56851),x56852),f118(x56851)),x56853),f118(x56851))+P103(f326(f326(f328(a872),f2(a872)),x56853))
% 149.08/148.75 [5742]E(f326(f326(f147(x57421),x57422),x57423),f136(x57421,x57422,x57423))+P103(f326(f326(f328(x57421),x57422),f326(f168(x57421),x57423)))
% 149.08/148.75 [5751]E(x57511,x57512)+~E(f326(f326(f82(a872),f326(a117,x57513)),x57511),f326(f326(f82(a872),f326(a117,x57513)),x57512))
% 149.08/148.75 [5752]~E(x57522,f326(f326(f81(a1),x57521),f326(f105(a1),f326(a117,x57523))))+P103(f326(f326(f241(a1),x57521),x57522))
% 149.08/148.75 [5857]~E(x58573,f118(x58571))+E(f326(f326(f326(f185(f873(x58571),f873(x58571)),x58572),f164(x58571)),x58573),f118(x58571))
% 149.08/148.75 [5861]P103(f326(x58611,x58612))+~P103(f326(f326(f328(x58613),x58612),f326(f246(x58613),x58611)))
% 149.08/148.75 [5893]E(x58931,x58932)+~E(f326(f326(f304(x58933),x58931),f190(f880(x58933,a866))),f326(f326(f304(x58933),x58932),f190(f880(x58933,a866))))
% 149.08/148.75 [5904]~P107(x59041)+E(f326(f326(f106(f880(x59041,a866)),f326(f247(x59041),x59042)),f326(f296(x59041,x59042),x59043)),f190(f880(x59041,a866)))
% 149.08/148.75 [5947]E(f136(x59471,x59472,x59473),x59473)+~P103(f326(f326(f328(x59471),x59472),f326(f168(x59471),x59473)))
% 149.08/148.75 [5971]~P78(x59711)+E(f326(f305(x59711,x59711,f80(x59711)),f326(f296(x59711,x59712),x59713)),f299(x59711,f326(f80(x59711),x59713),f326(f80(x59711),x59712)))
% 149.08/148.75 [5979]E(f326(f191(f873(x59791)),f166(x59791,x59792,x59793)),f326(f191(f873(x59791)),x59793))+P103(f326(f326(f328(x59791),x59792),f326(f168(x59791),x59793)))
% 149.08/148.75 [6033]~P107(x60331)+E(f326(f326(f106(f880(x60331,a866)),f326(f296(x60331,x60332),x60333)),f326(f248(x60331),x60333)),f190(f880(x60331,a866)))
% 149.08/148.75 [6056]~P78(x60561)+E(f326(f305(x60561,x60561,f80(x60561)),f297(x60561,x60562,x60563)),f297(x60561,f326(f80(x60561),x60563),f326(f80(x60561),x60562)))
% 149.08/148.75 [6057]~P78(x60571)+E(f326(f305(x60571,x60571,f80(x60571)),f300(x60571,x60572,x60573)),f300(x60571,f326(f80(x60571),x60573),f326(f80(x60571),x60572)))
% 149.08/148.75 [6114]E(f172(x61141,f326(f326(f147(x61141),x61142),f118(x61141)),x61143),f326(f326(f147(x61141),x61142),f118(x61141)))+~P103(f326(f326(f328(a872),f2(a872)),x61143))
% 149.08/148.75 [6121]~P78(x61211)+E(f326(f305(x61211,x61211,f80(x61211)),f299(x61211,x61212,x61213)),f326(f296(x61211,f326(f80(x61211),x61213)),f326(f80(x61211),x61212)))
% 149.08/148.75 [6141]~P57(x61411)+E(f45(x61411,f326(f80(x61411),f45(x61411,x61412,x61413)),x61413),f45(x61411,f326(f80(x61411),x61412),x61413))
% 149.08/148.75 [6244]~P103(f326(f62(f879(x62442,x62441)),x62443))+P103(f326(f62(x62441),f326(f257(x62442,x62441),x62443)))
% 149.08/148.75 [6245]~P103(f326(f62(f879(x62451,x62452)),x62453))+P103(f326(f62(x62451),f326(f259(x62451,x62452),x62453)))
% 149.08/148.75 [6251]~P107(x62511)+E(f326(f326(f106(f880(x62511,a866)),f297(x62511,x62512,x62513)),f326(f298(x62511),x62513)),f190(f880(x62511,a866)))
% 149.08/148.75 [6252]~P107(x62521)+E(f326(f326(f106(f880(x62521,a866)),f300(x62521,x62522,x62523)),f326(f248(x62521),x62523)),f190(f880(x62521,a866)))
% 149.08/148.75 [6253]~P107(x62531)+E(f326(f326(f106(f880(x62531,a866)),f299(x62531,x62532,x62533)),f326(f298(x62531),x62533)),f190(f880(x62531,a866)))
% 149.08/148.75 [6319]E(f326(f326(f161(x63191),x63192),f693(x63192,x63193,x63191)),x63193)+~P103(f326(f326(f328(x63191),x63193),f326(f168(x63191),x63192)))
% 149.08/148.75 [6460]E(x64601,f118(x64602))+~E(f326(f326(f326(f185(f873(x64602),f873(x64602)),x64603),f164(x64602)),x64601),f118(x64602))
% 149.08/148.75 [6562]~P103(f326(f62(f879(x65622,x65621)),x65623))+P103(f326(f62(f879(x65621,x65622)),f326(f281(x65622,x65621),x65623)))
% 149.08/148.75 [6713]P51(x67131,x67132,x67133)+P103(f326(f326(f328(x67131),f638(x67133,x67132,x67131)),x67132))
% 149.08/148.75 [6714]P51(x67141,x67142,x67143)+P103(f326(f326(f328(x67141),f637(x67143,x67142,x67141)),x67142))
% 149.08/148.75 [6726]P103(f326(f314(x67261,x67262),x67263))+P103(f326(f326(x67262,f509(x67263,x67262,x67261)),x67263))
% 149.08/148.75 [6727]P103(f326(f314(x67271,x67272),x67273))+P103(f326(f326(x67272,f518(x67273,x67272,x67271)),x67273))
% 149.08/148.75 [6758]E(f326(f191(f873(x67581)),f166(x67581,x67582,x67583)),f326(f326(f22(a872),f326(f191(f873(x67581)),x67583)),f79(a872)))+~P103(f326(f326(f328(x67581),x67582),f326(f168(x67581),x67583)))
% 149.08/148.75 [6798]P103(f326(f254(x67981,x67982),x67983))+P103(f326(f326(f328(x67981),f598(x67983,x67982,x67981)),x67983))
% 149.08/148.75 [6808]~P103(f326(f62(f879(x68082,x68081)),f326(f281(x68081,x68082),x68083)))+P103(f326(f62(f879(x68081,x68082)),x68083))
% 149.08/148.75 [6864]~P103(f326(f326(f328(x68641),x68642),f326(f168(x68641),f119(x68641,x68643))))+P103(f326(f326(f328(x68641),x68642),f326(f168(x68641),x68643)))
% 149.08/148.75 [6869]P23(x68691,x68692,x68693)+P103(f326(f326(f328(f871(x68691)),f607(x68693,x68692,x68691)),x68693))
% 149.08/148.75 [6899]E(f326(f132(x68991,x68992),x68993),x68993)+P103(f326(f326(f328(x68991),f692(x68993,x68992,x68991)),f326(f168(x68991),x68993)))
% 149.08/148.75 [6914]E(f326(f132(x69141,x69142),x69143),f118(x69141))+P103(f326(f326(f328(x69141),f691(x69143,x69142,x69141)),f326(f168(x69141),x69143)))
% 149.08/148.75 [6937]P31(x69371,x69372,x69373)+P103(f326(f326(f328(x69371),f798(x69373,x69372,x69371)),f326(f168(x69371),x69373)))
% 149.08/148.75 [6938]P31(x69381,x69382,x69383)+P103(f326(f326(f328(x69381),f799(x69383,x69382,x69381)),f326(f168(x69381),x69383)))
% 149.08/148.75 [6939]P31(x69391,x69392,x69393)+P103(f326(f326(f328(x69391),f788(x69392,x69393,x69391)),f326(f168(x69391),x69393)))
% 149.08/148.75 [6942]E(f173(x69421,x69422,x69423),x69423)+P103(f326(f326(f328(x69421),f735(x69423,x69422,x69421)),f326(f168(x69421),x69423)))
% 149.08/148.75 [7023]P103(f326(f156(x70231,x70232),x70233))+P103(f326(f326(f328(x70231),f751(x70233,x70232,x70231)),f326(f168(x70231),x70233)))
% 149.08/148.75 [7032]~P33(x70321,x70323,x70322)+P103(f326(f326(f328(x70321),f774(x70322,x70323,x70321)),f326(f168(x70321),x70322)))
% 149.08/148.75 [7033]~P35(x70331,x70333,x70332)+P103(f326(f326(f328(x70331),f801(x70332,x70333,x70331)),f326(f168(x70331),x70332)))
% 149.08/148.75 [7068]P103(f326(f326(f328(x70681),x70682),f662(x70683,x70682,x70681)))+~P103(f326(f326(f328(x70681),x70682),f40(f880(x70681,a866),x70683)))
% 149.08/148.75 [7069]~P72(x70691)+E(f326(f326(f81(x70691),f326(f326(f6(a872,x70691),x70692),f326(f247(a872),x70693))),f326(x70692,x70693)),f326(f326(f6(a872,x70691),x70692),f326(f247(a872),f326(a117,x70693))))
% 149.08/148.75 [7158]~P33(x71582,x71581,x71583)+P103(f326(x71581,f326(f326(f161(x71582),x71583),f787(x71583,x71581,x71582))))
% 149.08/148.75 [7171]~P103(f326(f326(f328(x71711),x71712),f508(x71712,x71713,x71711)))+P103(f326(f326(f328(x71711),x71712),f41(f880(x71711,a866),x71713)))
% 149.08/148.75 [7201]~P72(x72011)+E(f326(f326(f81(x72011),f326(f326(f6(a872,x72011),x72012),f326(f295(a872),x72013))),f326(x72012,f326(a117,x72013))),f326(f326(f6(a872,x72011),x72012),f326(f295(a872),f326(a117,x72013))))
% 149.08/148.75 [7336]P103(f326(f326(f328(f873(x73361)),x73362),f157(x73361,x73363)))+P103(f326(f326(f328(x73361),f713(x73363,x73362,x73361)),f326(f168(x73361),x73362)))
% 149.08/148.75 [7353]~P103(f326(f326(f328(f873(x73531)),x73532),f157(x73531,f315(x73531,x73533))))+P103(f326(f326(f328(f873(x73531)),x73532),f315(f873(x73531),f153(x73531,x73533))))
% 149.08/148.75 [7378]~P103(f326(f326(f328(f873(x73781)),x73782),f315(f873(x73781),f153(x73781,x73783))))+P103(f326(f326(f328(f873(x73781)),x73782),f157(x73781,f315(x73781,x73783))))
% 149.08/148.75 [7414]E(f326(f326(f326(f185(f873(x74141),f873(x74141)),x74142),f164(x74141)),x74143),x74143)+~P103(f326(f326(f240(a872),f326(f191(f873(x74141)),x74143)),f79(a872)))
% 149.08/148.75 [7450]E(f326(f326(f126(x74501),f790(x74502,x74503,x74501)),f326(f326(f147(x74501),x74503),f796(x74502,x74503,x74501))),x74502)+~P103(f326(f326(f328(x74501),x74503),f326(f168(x74501),x74502)))
% 149.08/148.75 [7451]E(f326(f326(f126(x74511),f791(x74512,x74513,x74511)),f326(f326(f147(x74511),x74513),f793(x74512,x74513,x74511))),x74512)+~P103(f326(f326(f328(x74511),x74513),f326(f168(x74511),x74512)))
% 149.08/148.75 [7452]E(f326(f326(f126(x74521),f794(x74522,x74523,x74521)),f326(f326(f147(x74521),x74523),f795(x74522,x74523,x74521))),x74522)+~P103(f326(f326(f328(x74521),x74523),f326(f168(x74521),x74522)))
% 149.08/148.75 [7476]~P21(x74761,x74762,x74763,f249(f880(x74761,a866)))+P21(f873(x74761),f873(x74762),f326(f150(x74761,x74762),x74763),f249(f880(f873(x74761),a866)))
% 149.08/148.75 [7624]E(x76241,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x76242)),x76243)),f326(f264(a872,a872),x76242)))+~P103(f326(f48(x76241,x76243),x76242))
% 149.08/148.75 [7632]P21(x76321,x76322,x76323,f249(f880(x76321,a866)))+~P21(f873(x76321),f873(x76322),f326(f150(x76321,x76322),x76323),f249(f880(f873(x76321),a866)))
% 149.08/148.75 [7670]~P103(f326(f326(f197(x76701),x76702),x76703))+P103(f326(f326(f326(f326(a199,x76701),x76702),f820(x76703,x76702,x76701)),x76703))
% 149.08/148.75 [7674]P103(f326(f326(f328(f880(x76741,a866)),f508(x76742,x76743,x76741)),x76743))+P103(f326(f326(f328(x76741),x76742),f41(f880(x76741,a866),x76743)))
% 149.08/148.75 [7766]P103(f326(f326(f328(f873(x77661)),x77662),f157(x77661,x77663)))+~P103(f326(f326(f328(x77661),f713(x77663,x77662,x77661)),x77663))
% 149.08/148.75 [7866]P31(x78661,x78662,x78663)+~P103(f326(x78662,f326(f326(f161(x78661),x78663),f789(x78663,x78662,x78661))))
% 149.08/148.75 [7891]E(x78911,x78912)+~E(f326(f326(f7(x78913,f880(x78913,a866),a866),f328(x78913)),x78911),f326(f326(f7(x78913,f880(x78913,a866),a866),f328(x78913)),x78912))
% 149.08/148.75 [7897]~P103(f326(f326(f328(f879(x78971,x78971)),x78973),f258(x78971,x78972)))+P103(f326(f326(f328(x78971),f545(x78972,x78973,x78971)),x78972))
% 149.08/148.75 [7899]~P103(f326(f326(f328(x78991),x78993),f40(f880(x78991,a866),x78992)))+P103(f326(f326(f328(f880(x78991,a866)),f662(x78992,x78993,x78991)),x78992))
% 149.08/148.75 [8081]~P103(f326(f326(f328(x80811),x80812),f326(f168(x80811),f791(x80813,x80812,x80811))))+~P103(f326(f326(f328(x80811),x80812),f326(f168(x80811),x80813)))
% 149.08/148.75 [8082]~P103(f326(f326(f328(x80821),x80822),f326(f168(x80821),f795(x80823,x80822,x80821))))+~P103(f326(f326(f328(x80821),x80822),f326(f168(x80821),x80823)))
% 149.08/148.75 [8171]E(f326(f235(f876(f873(a322)),f873(a322),f308(x81711,x81712,f326(f326(f81(a1),x81713),f79(a1))),f233(f873(a322))),f326(x81711,x81713)),f308(x81711,x81712,x81713))+P103(f326(f326(f241(a1),x81712),x81713))
% 149.08/148.75 [8273]E(x82731,f118(x82732))+P103(f326(f326(f328(x82732),f326(f260(x82732,f879(a104,a104)),f326(f277(x82732,x82731),x82733))),f326(f168(x82732),x82731)))
% 149.08/148.75 [8370]~P66(x83701)+E(f326(f138(x83701,x83701,f326(f7(x83701,x83701,x83701),f81(x83701)),x83702),f326(f165(x83701),x83703)),f326(f138(x83701,x83701,f81(x83701),x83702),x83703))
% 149.08/148.75 [8862]~P105(x88621)+E(f326(f168(x88621),f145(x88621,x88621,f5(x88621),x88622,x88623)),f326(f326(f304(x88621),x88622),f326(f168(x88621),x88623)))
% 149.08/148.75 [8873]P103(f326(f326(f241(a872),f2(a872)),f646(x88731,x88732,x88733)))+~P103(f326(f326(f328(f879(x88733,x88733)),x88732),f326(f326(f283(x88733,x88733,x88733),x88731),f302(x88733,x88731))))
% 149.08/148.75 [9161]~P53(x91611,x91612)+~P103(f326(f326(f328(f879(x91611,x91611)),f326(f326(f261(x91611,x91611),x91613),x91613)),f326(f326(f283(x91611,x91611,x91611),x91612),f302(x91611,x91612))))
% 149.08/148.75 [9293]~E(f326(f326(f106(f880(f879(x92931,x92931),a866)),f326(f281(x92931,x92931),x92932)),f302(x92931,x92932)),f190(f880(f879(x92931,x92931),a866)))+~P103(f326(f326(f328(f879(x92931,x92931)),f326(f326(f261(x92931,x92931),x92933),x92933)),f326(f326(f283(x92931,x92931,x92931),x92932),f302(x92931,x92932))))
% 149.08/148.75 [9472]~P103(f326(f62(x94721),x94722))+P103(f326(f326(f240(a872),f326(f38(x94721),f326(f326(f22(f880(x94721,a866)),x94722),f326(f326(f304(x94721),x94723),f190(f880(x94721,a866)))))),f326(f38(x94721),x94722)))
% 149.08/148.75 [5035]~E(x50353,f118(x50351))+E(f140(x50351,f326(f326(f147(x50351),x50352),x50353)),x50352)
% 149.08/148.75 [5043]~E(x50433,f118(x50431))+E(f119(x50431,f326(f326(f147(x50431),x50432),x50433)),f118(x50431))
% 149.08/148.75 [5071]E(x50711,f118(x50712))+E(f140(x50712,f326(f326(f147(x50712),x50713),x50711)),f140(x50712,x50711))
% 149.08/148.75 [5073]E(x50731,f118(x50732))+E(f140(x50732,f326(f326(f126(x50732),x50733),x50731)),f140(x50732,x50731))
% 149.08/148.75 [5079]~E(x50793,f118(x50791))+E(f140(x50791,f326(f326(f126(x50791),x50792),x50793)),f140(x50791,x50792))
% 149.08/148.75 [5080]~E(x50803,f118(x50801))+E(f119(x50801,f326(f326(f126(x50801),x50802),x50803)),f119(x50801,x50802))
% 149.08/148.75 [5112]E(x51121,f118(x51122))+E(f326(f137(x51122),f326(f326(f126(x51122),x51121),x51123)),f326(f137(x51122),x51121))
% 149.08/148.75 [5143]~E(x51432,f118(x51431))+E(f326(f137(x51431),f326(f326(f126(x51431),x51432),x51433)),f326(f137(x51431),x51433))
% 149.08/148.75 [5198]~P76(x51981)+E(f326(f326(f115(x51981),x51982),f326(f326(f106(x51981),x51982),x51983)),x51982)
% 149.08/148.75 [5199]~P76(x51991)+E(f326(f326(f106(x51991),x51992),f326(f326(f115(x51991),x51992),x51993)),x51992)
% 149.08/148.75 [5200]~P105(x52001)+E(f326(f326(f238(x52001),x52002),f326(f326(f239(x52001),x52002),x52003)),x52002)
% 149.08/148.75 [5201]~P105(x52011)+E(f326(f326(f239(x52011),x52012),f326(f326(f238(x52011),x52012),x52013)),x52012)
% 149.08/148.75 [5220]~P56(x52201)+E(f45(x52201,f326(f326(f82(x52201),x52202),x52203),x52203),f2(x52201))
% 149.08/148.75 [5221]~P56(x52211)+E(f45(x52211,f326(f326(f82(x52211),x52212),x52213),x52212),f2(x52211))
% 149.08/148.75 [5296]~P65(x52961)+E(f326(f80(x52961),f326(f326(f22(x52961),x52962),x52963)),f326(f326(f22(x52961),x52963),x52962))
% 149.08/148.75 [5359]E(x53591,f118(x53592))+E(f119(x53592,f326(f326(f147(x53592),x53593),x53591)),f326(f326(f147(x53592),x53593),f119(x53592,x53591)))
% 149.08/148.75 [5360]E(x53601,f118(x53602))+E(f119(x53602,f326(f326(f126(x53602),x53603),x53601)),f326(f326(f126(x53602),x53603),f119(x53602,x53601)))
% 149.08/148.75 [5363]~P26(x53631)+E(f40(x53631,f326(f326(f304(x53631),x53632),x53633)),f326(f326(f115(x53631),x53632),f40(x53631,x53633)))
% 149.08/148.75 [5364]~P26(x53641)+E(f41(x53641,f326(f326(f304(x53641),x53642),x53643)),f326(f326(f106(x53641),x53642),f41(x53641,x53643)))
% 149.08/148.75 [5410]~P63(x54101)+E(f326(f326(f115(x54101),x54102),f326(f326(f115(x54101),x54102),x54103)),f326(f326(f115(x54101),x54102),x54103))
% 149.08/148.75 [5411]~P76(x54111)+E(f326(f326(f115(x54111),x54112),f326(f326(f115(x54111),x54112),x54113)),f326(f326(f115(x54111),x54112),x54113))
% 149.08/148.75 [5412]~P76(x54121)+E(f326(f326(f106(x54121),x54122),f326(f326(f106(x54121),x54122),x54123)),f326(f326(f106(x54121),x54122),x54123))
% 149.08/148.75 [5414]~P100(x54141)+E(f326(f326(f106(x54141),x54142),f326(f326(f106(x54141),x54142),x54143)),f326(f326(f106(x54141),x54142),x54143))
% 149.08/148.75 [5415]~P96(x54151)+E(f326(f326(f82(x54151),x54152),f326(f326(f82(x54151),x54152),x54153)),f326(f326(f82(x54151),x54152),x54153))
% 149.08/148.75 [5417]~P105(x54171)+E(f326(f326(f238(x54171),x54172),f326(f326(f238(x54171),x54172),x54173)),f326(f326(f238(x54171),x54172),x54173))
% 149.08/148.75 [5419]~P105(x54191)+E(f326(f326(f239(x54191),x54192),f326(f326(f239(x54191),x54192),x54193)),f326(f326(f239(x54191),x54192),x54193))
% 149.08/148.75 [5427]~P56(x54271)+E(f45(x54271,f326(f326(f81(x54271),x54272),x54273),x54273),f45(x54271,x54272,x54273))
% 149.08/148.75 [5428]~P56(x54281)+E(f45(x54281,f326(f326(f81(x54281),x54282),x54283),x54282),f45(x54281,x54283,x54282))
% 149.08/148.75 [5434]~P123(x54341)+E(f326(f326(f82(x54341),x54342),f326(f80(x54341),x54343)),f326(f80(x54341),f326(f326(f82(x54341),x54342),x54343)))
% 149.08/148.75 [5435]~P59(x54351)+E(f326(f326(f284(x54351),x54352),f326(f80(x54351),x54353)),f326(f80(x54351),f326(f326(f284(x54351),x54352),x54353)))
% 149.08/148.75 [5436]~P81(x54361)+E(f326(f326(f81(x54361),x54362),f326(f162(x54361),x54363)),f326(f162(x54361),f326(f326(f147(x54361),x54362),x54363)))
% 149.08/148.75 [5466]~P123(x54661)+E(f326(f326(f82(x54661),f326(f80(x54661),x54662)),x54663),f326(f326(f82(x54661),x54662),f326(f80(x54661),x54663)))
% 149.08/148.75 [5473]~P3(x54731,x54732,x54733)+E(f40(f880(x54731,a866),f326(f326(f61(x54731),x54732),x54733)),x54732)
% 149.08/148.75 [5532]~P112(x55321)+E(f326(f326(f82(x55321),x55322),f326(f326(f251(x55321),x55322),x55323)),f326(f326(f251(x55321),x55322),f326(a117,x55323)))
% 149.08/148.75 [5533]~P114(x55331)+E(f326(f326(f82(x55331),x55332),f326(f326(f251(x55331),x55332),x55333)),f326(f326(f251(x55331),x55332),f326(a117,x55333)))
% 149.08/148.75 [5543]~P71(x55431)+E(f326(f326(f81(x55431),f326(f80(x55431),x55432)),f326(f326(f81(x55431),x55432),x55433)),x55433)
% 149.08/148.75 [5566]~P142(x55661)+E(f326(f326(f251(x55661),f326(f105(x55661),x55662)),x55663),f326(f105(x55661),f326(f326(f251(a872),x55662),x55663)))
% 149.08/148.75 [5567]~P138(x55671)+E(f326(f326(f251(x55671),f326(f107(x55671),x55672)),x55673),f326(f107(x55671),f326(f326(f251(a1),x55672),x55673)))
% 149.08/148.75 [5572]~P84(x55721)+E(f326(f76(x55721),f326(f326(f22(x55721),x55722),x55723)),f326(f76(x55721),f326(f326(f22(x55721),x55723),x55722)))
% 149.08/148.75 [5574]~P109(x55741)+E(f326(f326(f82(x55741),f83(x55741,x55742)),f83(x55741,x55743)),f83(x55741,f326(f326(f82(x55741),x55742),x55743)))
% 149.08/148.75 [5578]E(x55781,f118(x55782))+E(f326(f326(f126(x55782),f326(f167(x55782),x55781)),x55783),f326(f167(x55782),f326(f326(f126(x55782),x55781),x55783)))
% 149.08/148.75 [5583]~E(x55832,f326(a117,f326(f326(f81(a872),x55831),x55833)))+P103(f326(f326(f241(a872),x55831),x55832))
% 149.08/148.75 [5584]~P123(x55841)+E(f326(f326(f82(x55841),f326(f80(x55841),x55842)),x55843),f326(f80(x55841),f326(f326(f82(x55841),x55842),x55843)))
% 149.08/148.75 [5585]~P118(x55851)+E(f326(f326(f284(x55851),f326(f80(x55851),x55852)),x55853),f326(f80(x55851),f326(f326(f284(x55851),x55852),x55853)))
% 149.08/148.75 [5586]~P109(x55861)+E(f326(f326(f251(x55861),f326(f76(x55861),x55862)),x55863),f326(f76(x55861),f326(f326(f251(x55861),x55862),x55863)))
% 149.08/148.75 [5684]E(f839(x56841,x56842,x56843),f845(x56841,x56842,x56843))+E(f326(f326(f106(f880(x56843,a866)),x56842),x56841),f190(f880(x56843,a866)))
% 149.08/148.75 [5698]~P72(x56982)+E(f326(f326(f6(x56981,x56982),f326(f16(x56982,x56981),f2(x56982))),x56983),f2(x56982))
% 149.08/148.75 [5699]~P73(x56992)+E(f326(f326(f9(x56991,x56992),f326(f16(x56992,x56991),f79(x56992))),x56993),f79(x56992))
% 149.08/148.75 [5701]~P142(x57011)+E(f326(f326(f81(x57011),f326(f105(x57011),x57012)),f326(f105(x57011),x57013)),f326(f105(x57011),f326(f326(f81(a872),x57012),x57013)))
% 149.08/148.75 [5702]~P142(x57021)+E(f326(f326(f82(x57021),f326(f105(x57021),x57022)),f326(f105(x57021),x57023)),f326(f105(x57021),f326(f326(f82(a872),x57022),x57023)))
% 149.08/148.75 [5703]~P138(x57031)+E(f326(f326(f22(x57031),f326(f107(x57031),x57032)),f326(f107(x57031),x57033)),f326(f107(x57031),f326(f326(f22(a1),x57032),x57033)))
% 149.08/148.75 [5704]~P138(x57041)+E(f326(f326(f81(x57041),f326(f107(x57041),x57042)),f326(f107(x57041),x57043)),f326(f107(x57041),f326(f326(f81(a1),x57042),x57043)))
% 149.08/148.75 [5705]~P138(x57051)+E(f326(f326(f82(x57051),f326(f107(x57051),x57052)),f326(f107(x57051),x57053)),f326(f107(x57051),f326(f326(f82(a1),x57052),x57053)))
% 149.08/148.75 [5706]~P93(x57061)+E(f326(f326(f22(x57061),f326(f108(x57061),x57062)),f326(f108(x57061),x57063)),f326(f108(x57061),f326(f326(f22(a1),x57062),x57063)))
% 149.08/148.75 [5709]~P93(x57091)+E(f326(f326(f81(x57091),f326(f108(x57091),x57092)),f326(f108(x57091),x57093)),f326(f108(x57091),f326(f326(f81(a1),x57092),x57093)))
% 149.08/148.75 [5710]~P93(x57101)+E(f326(f326(f82(x57101),f326(f108(x57101),x57102)),f326(f108(x57101),x57103)),f326(f108(x57101),f326(f326(f82(a1),x57102),x57103)))
% 149.08/148.75 [5759]~E(x57593,x57592)+P103(f326(f326(f240(f880(x57591,a866)),x57592),x57593))
% 149.08/148.75 [5765]~E(x57652,x57653)+P103(f326(f326(f240(f880(x57651,a866)),x57652),x57653))
% 149.08/148.75 [5770]~P86(x57701)+E(f326(f326(f106(x57701),f326(f80(x57701),x57702)),f326(f80(x57701),x57703)),f326(f80(x57701),f326(f326(f115(x57701),x57702),x57703)))
% 149.08/148.75 [5771]~P71(x57711)+E(f326(f326(f81(x57711),f326(f80(x57711),x57712)),f326(f80(x57711),x57713)),f326(f80(x57711),f326(f326(f81(x57711),x57713),x57712)))
% 149.08/148.75 [5772]~P65(x57721)+E(f326(f326(f81(x57721),f326(f80(x57721),x57722)),f326(f80(x57721),x57723)),f326(f80(x57721),f326(f326(f81(x57721),x57722),x57723)))
% 149.08/148.75 [5773]~P86(x57731)+E(f326(f326(f115(x57731),f326(f80(x57731),x57732)),f326(f80(x57731),x57733)),f326(f80(x57731),f326(f326(f106(x57731),x57732),x57733)))
% 149.08/148.75 [5774]~P74(x57741)+E(f326(f326(f239(x57741),f326(f80(x57741),x57742)),f326(f80(x57741),x57743)),f326(f80(x57741),f326(f326(f238(x57741),x57742),x57743)))
% 149.08/148.75 [5775]~P74(x57751)+E(f326(f326(f238(x57751),f326(f80(x57751),x57752)),f326(f80(x57751),x57753)),f326(f80(x57751),f326(f326(f239(x57751),x57752),x57753)))
% 149.08/148.75 [5776]~P109(x57761)+E(f326(f326(f82(x57761),f326(f76(x57761),x57762)),f326(f76(x57761),x57763)),f326(f76(x57761),f326(f326(f82(x57761),x57762),x57763)))
% 149.08/148.75 [5777]~P61(x57771)+E(f326(f326(f284(x57771),f326(f76(x57771),x57772)),f326(f76(x57771),x57773)),f326(f76(x57771),f326(f326(f284(x57771),x57772),x57773)))
% 149.08/148.75 [5778]~P81(x57781)+E(f326(f326(f81(x57781),f326(f162(x57781),x57782)),f326(f162(x57781),x57783)),f326(f162(x57781),f326(f326(f126(x57781),x57782),x57783)))
% 149.08/148.75 [5779]E(x57791,f190(f880(x57792,a866)))+~E(f326(f326(f115(f880(x57792,a866)),x57793),x57791),f190(f880(x57792,a866)))
% 149.08/148.75 [5780]E(x57801,f190(f880(x57802,a866)))+~E(f326(f326(f115(f880(x57802,a866)),x57801),x57803),f190(f880(x57802,a866)))
% 149.08/148.75 [5781]~P145(x57811,x57813,x57812)+P103(f326(x57811,f326(f326(f39(a1),x57812),x57813)))
% 149.08/148.75 [5831]~P103(f326(f62(x58311),x58313))+P103(f326(f62(x58311),f326(f326(f304(x58311),x58312),x58313)))
% 149.08/148.75 [5832]~P103(f326(f133(x58321),x58323))+P103(f326(f133(x58321),f326(f326(f171(x58321),x58322),x58323)))
% 149.08/148.75 [5833]~P103(f326(f133(x58331),x58333))+P103(f326(f133(x58331),f326(f326(f134(x58331),x58332),x58333)))
% 149.08/148.75 [5862]~P63(x58621)+P103(f326(f326(f240(x58621),x58622),f326(f326(f115(x58621),x58623),x58622)))
% 149.08/148.75 [5863]~P76(x58631)+P103(f326(f326(f240(x58631),x58632),f326(f326(f115(x58631),x58633),x58632)))
% 149.08/148.75 [5864]~P63(x58641)+P103(f326(f326(f240(x58641),x58642),f326(f326(f115(x58641),x58642),x58643)))
% 149.08/148.75 [5865]~P76(x58651)+P103(f326(f326(f240(x58651),x58652),f326(f326(f115(x58651),x58652),x58653)))
% 149.08/148.75 [5866]~P105(x58661)+P103(f326(f326(f240(x58661),x58662),f326(f326(f239(x58661),x58663),x58662)))
% 149.08/148.75 [5867]~P105(x58671)+P103(f326(f326(f240(x58671),x58672),f326(f326(f239(x58671),x58672),x58673)))
% 149.08/148.75 [5881]~E(x58811,f2(a872))+E(f326(f326(f39(a872),f326(f326(f82(a872),x58811),x58812)),f326(f326(f82(a872),x58811),x58813)),f2(a872))
% 149.08/148.75 [5950]P103(f326(x59501,x59502))+P103(f326(f326(f197(f33(x59501,x59503)),x59502),x59502))
% 149.08/148.75 [5965]~P93(x59651)+E(f326(f326(f22(x59651),f326(f108(x59651),x59652)),f326(f108(x59651),x59653)),f326(f108(x59651),f326(f326(f81(a1),x59652),f326(f80(a1),x59653))))
% 149.08/148.75 [6020]E(x60201,f2(a872))+E(f326(f326(f39(a872),f326(f326(f82(a872),x60201),x60202)),f326(f326(f82(a872),x60201),x60203)),f326(f326(f39(a872),x60202),x60203))
% 149.08/148.75 [6054]E(f148(x60541,f326(f326(f147(x60541),x60542),x60543)),f326(f326(f147(x60541),x60542),f148(x60541,x60543)))+P103(f326(f326(f328(x60541),x60542),f326(f168(x60541),x60543)))
% 149.08/148.75 [6088]P145(x60881,x60882,x60883)+~P103(f326(x60881,f326(f326(f39(a1),x60883),x60882)))
% 149.08/148.75 [6163]E(x61631,f118(x61632))+E(f326(f326(f147(x61632),f326(f137(x61632),x61631)),f326(f326(f171(x61632),x61633),f326(f167(x61632),x61631))),f326(f326(f171(x61632),f326(a117,x61633)),x61631))
% 149.08/148.75 [6169]E(f326(f326(f22(f880(x61691,a866)),x61692),x61693),x61692)+~E(f326(f326(f106(f880(x61691,a866)),x61692),x61693),f190(f880(x61691,a866)))
% 149.08/148.75 [6182]E(f148(x61821,f326(f326(f147(x61821),x61822),x61823)),f148(x61821,x61823))+~P103(f326(f326(f328(x61821),x61822),f326(f168(x61821),x61823)))
% 149.08/148.75 [6214]~P103(f326(f326(f240(a872),x62141),x62143))+P103(f326(f326(f240(a872),x62141),f326(f326(f81(a872),x62142),x62143)))
% 149.08/148.75 [6216]~P103(f326(f326(f240(a872),x62161),x62162))+P103(f326(f326(f240(a872),x62161),f326(f326(f81(a872),x62162),x62163)))
% 149.08/148.75 [6218]~P103(f326(f326(f241(a872),x62181),x62183))+P103(f326(f326(f241(a872),x62181),f326(f326(f81(a872),x62182),x62183)))
% 149.08/148.75 [6220]~P103(f326(f326(f241(a872),x62201),x62202))+P103(f326(f326(f241(a872),x62201),f326(f326(f81(a872),x62202),x62203)))
% 149.08/148.75 [6259]P103(f326(f62(x62591),x62592))+~P103(f326(f62(x62591),f326(f326(f304(x62591),x62593),x62592)))
% 149.08/148.75 [6260]P103(f326(f133(x62601),x62602))+~P103(f326(f133(x62601),f326(f326(f147(x62601),x62603),x62602)))
% 149.08/148.75 [6261]P103(f326(f133(x62611),x62612))+~P103(f326(f133(x62611),f326(f326(f126(x62611),x62613),x62612)))
% 149.08/148.75 [6262]P103(f326(f133(x62621),x62622))+~P103(f326(f133(x62621),f326(f326(f126(x62621),x62622),x62623)))
% 149.08/148.75 [6308]~P114(x63081)+E(f326(f326(f81(x63081),x63082),f326(f326(f82(x63081),x63083),x63082)),f326(f326(f82(x63081),f326(f326(f81(x63081),x63083),f79(x63081))),x63082))
% 149.08/148.75 [6356]~E(x63561,x63562)+~P103(f326(f326(f241(f880(x63563,a866)),x63561),x63562))
% 149.08/148.75 [6400]P103(f326(f326(f328(x64001),x64002),x64003))+P103(f326(f326(f328(x64001),x64002),f326(f80(f880(x64001,a866)),x64003)))
% 149.08/148.75 [6406]E(f140(x64061,f326(f326(f134(x64061),x64062),x64063)),f140(x64061,x64063))+~P103(f326(f326(f241(a872),x64062),f326(f191(f873(x64061)),x64063)))
% 149.08/148.75 [6407]E(f326(f326(f171(x64071),x64072),f119(x64071,x64073)),f326(f326(f171(x64071),x64072),x64073))+~P103(f326(f326(f241(a872),x64072),f326(f191(f873(x64071)),x64073)))
% 149.08/148.75 [6462]E(f326(f326(f326(f185(f873(x64621),f873(x64621)),x64622),f164(x64621)),x64623),x64623)+~E(f45(a872,x64622,f326(f191(f873(x64621)),x64623)),f2(a872))
% 149.08/148.75 [6469]~P3(x64691,x64693,x64692)+E(f326(f326(f283(x64691,x64691,x64691),f326(f281(x64691,x64691),x64692)),x64692),x64692)
% 149.08/148.75 [6511]~E(f326(f326(f115(f880(x65111,a866)),x65112),x65113),x65113)+P103(f326(f326(f240(f880(x65111,a866)),x65112),x65113))
% 149.08/148.75 [6516]~P50(x65161,x65161,x65163)+P50(x65161,x65161,f326(f326(f185(f879(x65161,x65161),a866),x65162),x65163))
% 149.08/148.75 [6518]~P103(f326(f326(f328(x65181),x65183),f326(f168(x65181),x65182)))+P103(f326(f326(f241(a872),f2(a872)),f326(f191(f873(x65181)),x65182)))
% 149.08/148.75 [6544]~P84(x65441)+E(f326(f76(x65441),f326(f326(f81(x65441),f326(f76(x65441),x65442)),f326(f76(x65441),x65443))),f326(f326(f81(x65441),f326(f76(x65441),x65442)),f326(f76(x65441),x65443)))
% 149.08/148.75 [6555]E(f326(f326(f39(a872),f326(f326(f82(a872),x65551),x65552)),f326(f326(f82(a872),x65551),x65553)),f326(f326(f39(a872),x65552),x65553))+~P103(f326(f326(f241(a872),f2(a872)),x65551))
% 149.08/148.75 [6603]E(x66031,x66032)+~P103(f326(f326(f326(f326(a199,a24),x66031),x66033),x66032))
% 149.08/148.75 [6692]~P103(f326(f62(x66921),x66923))+E(f326(f326(f65(x66921,f880(x66921,a866),f304(x66921)),x66922),x66923),f326(f326(f115(f880(x66921,a866)),x66923),x66922))
% 149.08/148.75 [6751]E(f326(f326(f115(f880(x67511,a866)),x67512),x67513),x67512)+~P103(f326(f326(f240(f880(x67511,a866)),x67513),x67512))
% 149.08/148.75 [6753]E(f326(f326(f115(f880(x67531,a866)),x67532),x67533),x67533)+~P103(f326(f326(f240(f880(x67531,a866)),x67532),x67533))
% 149.08/148.75 [6754]E(f326(f326(f106(f880(x67541,a866)),x67542),x67543),x67543)+~P103(f326(f326(f240(f880(x67541,a866)),x67543),x67542))
% 149.08/148.75 [6755]E(f326(f326(f106(f880(x67551,a866)),x67552),x67553),x67552)+~P103(f326(f326(f240(f880(x67551,a866)),x67552),x67553))
% 149.08/148.75 [6806]~P103(f326(f133(x68061),x68062))+E(f326(f326(f22(f880(x68061,a866)),f326(f168(x68061),x68062)),f326(f326(f304(x68061),x68063),f190(f880(x68061,a866)))),f326(f168(x68061),f166(x68061,x68063,x68062)))
% 149.08/148.75 [6859]P37(x68591,x68592)+~P37(x68591,f326(f326(f185(f879(x68591,x68591),a866),x68593),x68592))
% 149.08/148.75 [6925]P103(f326(f49(x69251,x69252),f326(a51,x69253)))+~P103(f326(f49(f326(f80(a1),x69251),f326(f80(a1),x69252)),x69253))
% 149.08/148.75 [6930]E(f326(f326(f22(f880(x69301,a866)),f326(f326(f304(x69301),x69302),x69303)),f326(f326(f304(x69301),x69302),f190(f880(x69301,a866)))),x69303)+P103(f326(f326(f328(x69301),x69302),x69303))
% 149.08/148.75 [6951]E(f326(f326(f106(f880(x69511,a866)),f326(f168(x69511),x69512)),f326(f168(x69511),x69513)),f190(f880(x69511,a866)))+~P103(f326(f133(x69511),f326(f326(f126(x69511),x69512),x69513)))
% 149.08/148.75 [6967]~P103(f326(f326(f328(x69671),x69672),f326(f168(x69671),x69673)))+~P103(f326(f133(x69671),f326(f326(f147(x69671),x69672),x69673)))
% 149.08/148.75 [7039]P31(x70391,x70392,x70393)+P103(f326(f326(f241(a872),f789(x70393,x70392,x70391)),f326(f191(f873(x70391)),x70393)))
% 149.08/148.75 [7049]E(f326(f326(f106(f880(x70491,a866)),x70492),x70493),f190(f880(x70491,a866)))+P103(f326(f326(f328(x70491),f839(x70493,x70492,x70491)),x70492))
% 149.08/148.75 [7050]E(f326(f326(f106(f880(x70501,a866)),x70502),x70503),f190(f880(x70501,a866)))+P103(f326(f326(f328(x70501),f845(x70503,x70502,x70501)),x70503))
% 149.08/148.75 [7054]E(f119(x70541,f326(f326(f171(x70541),x70542),x70543)),f326(f326(f171(x70541),f326(f326(f22(a872),x70542),f79(a872))),x70543))+~P103(f326(f326(f240(a872),x70542),f326(f191(f873(x70541)),x70543)))
% 149.08/148.75 [7113]~P33(x71133,x71132,x71131)+P103(f326(f326(f241(a872),f787(x71131,x71132,x71133)),f326(f191(f873(x71133)),x71131)))
% 149.08/148.75 [7131]P103(f326(f326(f241(a872),f2(a872)),x71311))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x71312),x71311)),f326(f326(f82(a872),x71313),x71311)))
% 149.08/148.75 [7132]P103(f326(f326(f241(a872),f2(a872)),x71321))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x71321),x71322)),f326(f326(f82(a872),x71321),x71323)))
% 149.08/148.75 [7135]~P103(f326(f326(f328(x71351),x71352),x71353))+~P103(f326(f326(f328(x71351),x71352),f326(f80(f880(x71351,a866)),x71353)))
% 149.08/148.75 [7142]~P103(f326(f326(f241(f880(x71421,a866)),x71422),x71423))+P103(f326(f326(f240(f880(x71421,a866)),x71422),x71423))
% 149.08/148.75 [7241]~P103(f326(f326(f240(a872),x72413),x72412))+P103(f326(f326(f240(a872),f326(f326(f22(a872),x72411),x72412)),f326(f326(f22(a872),x72411),x72413)))
% 149.08/148.75 [7242]~P103(f326(f326(f240(a872),x72421),x72423))+P103(f326(f326(f240(a872),f326(f326(f22(a872),x72421),x72422)),f326(f326(f22(a872),x72423),x72422)))
% 149.08/148.75 [7243]~P103(f326(f326(f240(a872),x72432),x72433))+P103(f326(f326(f240(a872),f326(f326(f81(a872),x72431),x72432)),f326(f326(f81(a872),x72431),x72433)))
% 149.08/148.75 [7244]~P103(f326(f326(f240(a872),x72441),x72443))+P103(f326(f326(f240(a872),f326(f326(f81(a872),x72441),x72442)),f326(f326(f81(a872),x72443),x72442)))
% 149.08/148.75 [7246]~P103(f326(f326(f240(a872),x72462),x72463))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x72461),x72462)),f326(f326(f82(a872),x72461),x72463)))
% 149.08/148.75 [7248]~P103(f326(f326(f240(a872),x72481),x72483))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x72481),x72482)),f326(f326(f82(a872),x72483),x72482)))
% 149.08/148.75 [7249]~P103(f326(f326(f240(a872),x72491),x72493))+P103(f326(f326(f240(a872),f326(f326(f39(a872),x72491),x72492)),f326(f326(f39(a872),x72493),x72492)))
% 149.08/148.75 [7250]~P103(f326(f326(f240(a1),x72502),x72503))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x72501),x72502)),f326(f326(f81(a1),x72501),x72503)))
% 149.08/148.75 [7253]~P103(f326(f326(f241(a872),x72532),x72533))+P103(f326(f326(f241(a872),f326(f326(f81(a872),x72531),x72532)),f326(f326(f81(a872),x72531),x72533)))
% 149.08/148.75 [7254]~P103(f326(f326(f241(a872),x72541),x72543))+P103(f326(f326(f241(a872),f326(f326(f81(a872),x72541),x72542)),f326(f326(f81(a872),x72543),x72542)))
% 149.08/148.75 [7255]~P103(f326(f326(f241(a1),x72551),x72553))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x72551),x72552)),f326(f326(f81(a1),x72553),x72552)))
% 149.08/148.75 [7335]E(x73351,x73352)+~P103(f326(f326(f328(x73353),x73351),f326(f326(f304(x73353),x73352),f190(f880(x73353,a866)))))
% 149.08/148.75 [7337]~E(f326(f326(f106(f880(x73371,a866)),x73372),x73373),f190(f880(x73371,a866)))+P103(f326(f326(f240(f880(x73371,a866)),x73372),f326(f80(f880(x73371,a866)),x73373)))
% 149.08/148.75 [7345]P103(f326(f326(f328(f880(x73451,a866)),x73452),f326(f303(x73451),x73453)))+~P103(f326(f326(f240(f880(x73451,a866)),x73452),x73453))
% 149.08/148.75 [7398]E(f326(f326(f147(x73981),f326(f326(f161(x73981),x73982),x73983)),f326(f326(f134(x73981),f326(a117,x73983)),x73982)),f326(f326(f134(x73981),x73983),x73982))+~P103(f326(f326(f241(a872),x73983),f326(f191(f873(x73981)),x73982)))
% 149.08/148.75 [7425]P103(f326(f326(f328(f879(x74251,x74251)),x74252),f302(x74251,x74253)))+~P103(f326(f326(f328(f879(x74251,x74251)),x74252),x74253))
% 149.08/148.75 [7436]~P103(f326(f326(f328(f880(x74361,a866)),x74362),f326(f303(x74361),x74363)))+P103(f326(f326(f240(f880(x74361,a866)),x74362),x74363))
% 149.08/148.75 [7482]P103(f326(f326(f240(f880(x74821,a866)),x74822),f40(f880(x74821,a866),x74823)))+~P103(f326(f326(f328(f880(x74821,a866)),x74822),x74823))
% 149.08/148.75 [7507]~P138(x75071)+E(f326(f326(f82(x75071),f326(f326(f251(x75071),f326(f80(x75071),f79(x75071))),x75072)),f326(f326(f251(x75071),x75073),x75072)),f326(f326(f251(x75071),f326(f80(x75071),x75073)),x75072))
% 149.08/148.75 [7528]E(f326(f326(f161(x75281),x75282),f326(f326(f22(a872),f326(f191(f873(x75281)),x75282)),f326(a117,x75283))),f326(f326(f161(x75281),f326(f165(x75281),x75282)),x75283))+~P103(f326(f326(f241(a872),x75283),f326(f191(f873(x75281)),x75282)))
% 149.08/148.75 [7545]~E(f326(f326(f106(f880(x75451,a866)),f848(x75453,x75452,x75451)),x75453),f190(f880(x75451,a866)))+E(f326(f326(f106(f880(x75451,a866)),f40(f880(x75451,a866),x75452)),x75453),f190(f880(x75451,a866)))
% 149.08/148.75 [7606]~P103(f326(f326(f328(x76063),x76062),f326(f168(x76063),x76061)))+P103(f326(f326(f241(a872),f693(x76061,x76062,x76063)),f326(f191(f873(x76063)),x76061)))
% 149.08/148.75 [7614]P103(f326(f326(f328(x76141),f326(f326(f161(x76141),x76142),x76143)),f326(f168(x76141),x76142)))+~P103(f326(f326(f241(a872),x76143),f326(f191(f873(x76141)),x76142)))
% 149.08/148.75 [7714]~P103(f326(x77142,f741(x77143,x77142,x77141)))+E(f326(f326(f134(x77141),f326(f191(f873(x77141)),f173(x77141,x77142,x77143))),x77143),f118(x77141))
% 149.08/148.75 [7724]P103(f326(f326(f240(f880(f873(x77241),a866)),f157(x77241,x77242)),f157(x77241,x77243)))+~P103(f326(f326(f240(f880(x77241,a866)),x77242),x77243))
% 149.08/148.75 [7725]P103(f326(f326(f240(f880(f873(x77251),a866)),f156(x77251,x77252)),f156(x77251,x77253)))+~P103(f326(f326(f240(f880(x77251,a866)),x77252),x77253))
% 149.08/148.75 [7753]E(f326(f326(f106(f880(x77531,a866)),f40(f880(x77531,a866),x77532)),x77533),f190(f880(x77531,a866)))+P103(f326(f326(f328(f880(x77531,a866)),f848(x77533,x77532,x77531)),x77532))
% 149.08/148.75 [7756]~P103(f326(f326(f328(f880(x77561,a866)),x77563),x77562))+P103(f326(f326(f240(f880(x77561,a866)),f41(f880(x77561,a866),x77562)),x77563))
% 149.08/148.75 [7758]E(f326(f326(f106(f880(x77581,a866)),x77582),x77583),f190(f880(x77581,a866)))+~P103(f326(f326(f240(f880(x77581,a866)),x77582),f326(f80(f880(x77581,a866)),x77583)))
% 149.08/148.75 [7805]E(f326(f326(f22(a872),f326(f326(f81(a872),f326(f162(a872),x78051)),x78052)),f326(f326(f161(a872),x78051),x78053)),f326(f162(a872),f326(f326(f155(a872,x78051),x78053),x78052)))+~P103(f326(f326(f241(a872),x78053),f326(f191(f873(a872)),x78051)))
% 149.08/148.75 [7854]P103(f326(f326(f240(a872),x78541),x78542))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x78543),x78541)),f326(f326(f81(a872),x78543),x78542)))
% 149.08/148.75 [7857]P103(f326(f326(f241(a872),x78571),x78572))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),x78573),x78571)),f326(f326(f81(a872),x78573),x78572)))
% 149.08/148.75 [7858]P103(f326(f326(f241(a872),x78581),x78582))+~P103(f326(f326(f241(a872),f326(f326(f82(a872),x78583),x78581)),f326(f326(f82(a872),x78583),x78582)))
% 149.08/148.75 [7859]P103(f326(f326(f241(a872),x78591),x78592))+~P103(f326(f326(f241(a872),f326(f326(f82(a872),x78591),x78593)),f326(f326(f82(a872),x78592),x78593)))
% 149.08/148.75 [7889]P103(f326(f326(f241(a872),f2(a872)),x78891))+~P103(f326(f326(f241(a872),f326(f326(f82(a872),x78892),x78891)),f326(f326(f82(a872),x78893),x78891)))
% 149.08/148.75 [7890]P103(f326(f326(f241(a872),f2(a872)),x78901))+~P103(f326(f326(f241(a872),f326(f326(f82(a872),x78901),x78902)),f326(f326(f82(a872),x78901),x78903)))
% 149.08/148.75 [7963]E(f253(x79631,x79632,x79633),x79632)+~P103(f326(f326(f240(f880(x79631,a866)),x79633),f326(f326(f304(x79631),x79632),f190(f880(x79631,a866)))))
% 149.08/148.75 [8021]~P103(f326(f133(x80211),x80213))+E(f326(f132(x80211,f326(f326(f8(a866,a866,x80211),a321),f326(a323,x80212))),x80213),f166(x80211,x80212,x80213))
% 149.08/148.75 [8044]E(f326(f326(f134(x80441),f326(f191(f873(x80441)),f173(x80441,x80442,x80443))),x80443),f118(x80441))+P103(f326(f326(f328(x80441),f741(x80443,x80442,x80441)),f326(f168(x80441),x80443)))
% 149.08/148.75 [8048]E(f326(f326(f126(x80481),f326(f326(f171(x80481),x80482),x80483)),f326(f326(f147(x80481),f326(f326(f161(x80481),x80483),x80482)),f118(x80481))),f326(f326(f171(x80481),f326(a117,x80482)),x80483))+~P103(f326(f326(f241(a872),x80482),f326(f191(f873(x80481)),x80483)))
% 149.08/148.75 [8110]E(f326(f132(x81101,f326(f326(f8(a866,a866,x81101),a321),f326(a323,x81102))),x81103),x81103)+P103(f326(f326(f328(x81101),x81102),f326(f168(x81101),x81103)))
% 149.08/148.75 [8118]P103(f326(f326(f240(f880(f880(x81181,a866),a866)),f254(x81181,x81182)),f254(x81181,x81183)))+~P103(f326(f326(f240(f880(x81181,a866)),x81182),x81183))
% 149.08/148.75 [8162]~P103(f326(f133(x81621),x81623))+P103(f326(f133(x81621),f326(f326(f326(f185(f873(x81621),f873(x81621)),x81622),f164(x81621)),x81623)))
% 149.08/148.75 [8168]~P103(f326(f326(f241(a872),x81682),x81683))+P103(f326(f326(f241(a872),f326(f326(f82(a872),f326(a117,x81681)),x81682)),f326(f326(f82(a872),f326(a117,x81681)),x81683)))
% 149.08/148.75 [8190]P103(f326(f326(f240(f880(f880(x81901,a866),a866)),f326(f303(x81901),x81902)),f326(f303(x81901),x81903)))+~P103(f326(f326(f240(f880(x81901,a866)),x81902),x81903))
% 149.08/148.75 [8353]~P103(f326(f326(f240(f880(x83531,a866)),x83533),x83532))+P103(f326(f326(f240(f880(x83531,a866)),f326(f80(f880(x83531,a866)),x83532)),f326(f80(f880(x83531,a866)),x83533)))
% 149.08/148.75 [8386]E(f326(f305(a872,a872,f326(f326(f7(a872,a872,a872),f22(a872)),x83861)),f326(f296(a872,x83862),x83863)),f326(f296(a872,f326(f326(f22(a872),x83862),x83861)),f326(f326(f22(a872),x83863),x83861)))+~P103(f326(f326(f241(a872),x83861),x83863))
% 149.08/148.75 [8413]~P81(x84131)+E(f326(f326(f81(x84131),x84132),f326(f138(x84131,x84131,f81(x84131),f2(x84131)),x84133)),f326(f138(x84131,x84131,f81(x84131),x84132),x84133))
% 149.08/148.75 [8497]~P84(x84971)+P103(f326(f326(f240(x84971),f326(f76(x84971),f326(f326(f22(x84971),x84972),x84973))),f326(f326(f81(x84971),f326(f76(x84971),x84972)),f326(f76(x84971),x84973))))
% 149.08/148.75 [8498]~P84(x84981)+P103(f326(f326(f240(x84981),f326(f76(x84981),f326(f326(f81(x84981),x84982),x84983))),f326(f326(f81(x84981),f326(f76(x84981),x84982)),f326(f76(x84981),x84983))))
% 149.08/148.75 [8508]E(f326(f326(f81(a1),f326(f326(f82(a1),x85081),f45(a1,f326(f326(f39(a1),x85082),x85081),x85083))),f45(a1,x85082,x85081)),f45(a1,x85082,f326(f326(f82(a1),x85081),x85083)))+~P103(f326(f326(f241(a1),f2(a1)),x85083))
% 149.08/148.75 [8514]E(f326(f326(f126(x85141),f326(f326(f171(x85141),x85142),x85143)),f326(f326(f147(x85141),f326(f137(x85141),f326(f326(f134(x85141),x85142),x85143))),f118(x85141))),f326(f326(f171(x85141),f326(a117,x85142)),x85143))+~P103(f326(f326(f241(a872),x85142),f326(f191(f873(x85141)),x85143)))
% 149.08/148.75 [8533]E(f326(f272(x85331,f326(f326(f150(x85331,f879(a104,x85331)),f326(f261(a104,x85331),f79(a104))),x85332)),f326(a3,x85333)),f326(f326(f161(x85331),x85332),x85333))+~P103(f326(f326(f241(a872),x85333),f326(f191(f873(x85331)),x85332)))
% 149.08/148.75 [8598]P103(f326(f326(f328(f879(x85981,x85981)),x85982),f326(f326(f283(x85981,x85981,x85981),x85983),f302(x85981,x85983))))+~P103(f326(f326(f328(f879(x85981,x85981)),x85982),x85983))
% 149.08/148.75 [8617]P103(f326(f326(f240(a872),x86171),x86172))+~P103(f326(f326(f240(a872),f326(f326(f82(a872),f326(a117,x86173)),x86171)),f326(f326(f82(a872),f326(a117,x86173)),x86172)))
% 149.08/148.75 [8632]P103(f326(f326(f240(f880(x86321,a866)),x86322),x86323))+~P103(f326(f326(f240(f880(x86321,a866)),f326(f80(f880(x86321,a866)),x86323)),f326(f80(f880(x86321,a866)),x86322)))
% 149.08/148.75 [8650]P103(f326(f133(x86501),x86502))+~P103(f326(f133(x86501),f326(f326(f326(f185(f873(x86501),f873(x86501)),x86503),f164(x86501)),x86502)))
% 149.08/148.75 [8710]E(f326(f305(f879(x87101,x87102),x87102,f264(x87101,x87102)),f326(f168(f879(x87101,x87102)),x87103)),f182(x87101,x87102,f326(f174(x87101,x87102),x87103)))+~P103(f326(f133(x87101),f326(f326(f150(f879(x87101,x87102),x87101),f260(x87101,x87102)),x87103)))
% 149.08/148.75 [8719]E(f326(f280(x87191,x87191,f302(x87191,x87192)),x87193),x87193)+~P103(f326(f326(f240(f880(x87191,a866)),f326(f280(x87191,x87191,x87192),x87193)),x87193))
% 149.08/148.75 [8762]~P105(x87621)+P28(x87621,f326(f132(x87621,f326(f326(f7(x87621,x87621,a866),a323),f326(x87622,x87623))),x87623))
% 149.08/148.75 [8768]~P103(f326(f326(f240(a872),x87681),x87682))+P103(f326(f326(f240(a872),x87681),f326(f138(a872,a872,f81(a872),x87682),x87683)))
% 149.08/148.75 [8846]~P103(f326(f326(f328(f879(x88461,x88461)),x88462),f302(x88461,x88463)))+P103(f326(f326(f328(f879(x88461,x88461)),x88462),f326(f326(f185(f879(x88461,x88461),a866),f643(x88463,x88462,x88461)),x88463)))
% 149.08/148.75 [8939]~P81(x89391)+E(f326(f326(f81(x89391),x89392),f326(f138(x89391,x89391,f326(f7(x89391,x89391,x89391),f81(x89391)),f2(x89391)),f326(f165(x89391),x89393))),f326(f138(x89391,x89391,f81(x89391),x89392),x89393))
% 149.08/148.75 [9207]P50(x92071,x92072,x92073)+P103(f326(f326(f328(f879(x92071,x92072)),f326(f326(f261(x92071,x92072),f635(x92073,x92072,x92071)),f622(x92073,x92072,x92071))),x92073))
% 149.08/148.75 [9208]P50(x92081,x92082,x92083)+P103(f326(f326(f328(f879(x92081,x92082)),f326(f326(f261(x92081,x92082),f635(x92083,x92082,x92081)),f621(x92083,x92082,x92081))),x92083))
% 149.08/148.75 [9278]~P103(f326(f326(f328(f879(x92781,x92781)),x92782),f326(f326(f283(x92781,x92781,x92781),x92783),f302(x92781,x92783))))+P103(f326(f326(f328(f879(x92781,x92781)),x92782),f326(f326(f185(f879(x92781,x92781),a866),f646(x92783,x92782,x92781)),x92783)))
% 149.08/148.75 [9279]~P103(f326(x92791,f326(f326(f161(x92792),x92793),f326(f191(f873(x92792)),f173(x92792,x92791,x92793)))))+~P103(f326(f326(f241(a872),f326(f191(f873(x92792)),f173(x92792,x92791,x92793))),f326(f191(f873(x92792)),x92793)))
% 149.08/148.75 [9368]~P103(f326(f326(f240(f880(x93681,a866)),x93682),x93683))+P103(f326(f326(f240(f880(x93681,a866)),f326(f326(f7(x93681,f880(x93681,a866),a866),f328(x93681)),x93682)),f326(f326(f7(x93681,f880(x93681,a866),a866),f328(x93681)),x93683)))
% 149.08/148.75 [9421]~P103(f326(f326(f328(f879(f880(x94211,a866),f880(x94211,a866))),f326(f326(f261(f880(x94211,a866),f880(x94211,a866)),x94212),x94213)),f301(x94211)))+P103(f326(f326(f241(f880(x94211,a866)),x94212),x94213))
% 149.08/148.75 [9446]P51(x94461,x94462,x94463)+~P103(f326(f326(f328(f879(x94461,x94461)),f326(f326(f261(x94461,x94461),f638(x94463,x94462,x94461)),f637(x94463,x94462,x94461))),x94463))
% 149.08/148.75 [9447]P51(x94471,x94472,x94473)+~P103(f326(f326(f328(f879(x94471,x94471)),f326(f326(f261(x94471,x94471),f637(x94473,x94472,x94471)),f638(x94473,x94472,x94471))),x94473))
% 149.08/148.75 [9483]~P103(f326(f326(f328(f879(f873(x94831),f873(x94831))),f326(f326(f261(f873(x94831),f873(x94831)),x94832),x94832)),f143(x94831,x94833)))+P103(f326(f326(f328(f879(x94831,x94831)),f326(f326(f261(x94831,x94831),f719(x94832,x94833,x94831)),f719(x94832,x94833,x94831))),x94833))
% 149.08/148.75 [9534]P103(f326(f326(f240(f880(x95341,a866)),x95342),x95343))+~P103(f326(f326(f240(f880(x95341,a866)),f326(f326(f7(x95341,f880(x95341,a866),a866),f328(x95341)),x95342)),f326(f326(f7(x95341,f880(x95341,a866),a866),f328(x95341)),x95343)))
% 149.08/148.75 [9615]E(f326(f326(f22(a872),f326(f326(f6(a872,a872),x96151),f326(f247(a872),x96152))),f326(f326(f6(a872,a872),x96153),f326(f247(a872),x96152))),f326(f326(f6(a872,a872),f326(f326(f18(a872,a872,a872),f326(f326(f8(a872,f880(a872,a872),a872),f22(a872)),x96151)),x96153)),f326(f247(a872),x96152)))+~P103(f326(f326(f240(a872),f326(x96153,f384(x96152,x96151,x96153))),f326(x96151,f384(x96152,x96151,x96153))))
% 149.08/148.75 [9918]E(f326(f246(f879(x99181,x99182)),f326(f265(x99181,x99182,a866),f326(f326(f7(x99181,f880(x99182,f876(x99182)),f880(x99182,a866)),f326(f326(f8(f880(f876(x99182),a866),f880(f880(x99182,f876(x99182)),f880(x99182,a866)),x99181),f8(f876(x99182),a866,x99182)),f326(f326(f8(f876(x99182),f880(f876(x99182),a866),x99181),a323),f326(f174(x99181,x99182),x99183)))),f233(x99182)))),f326(f168(f879(x99181,x99182)),x99183))+~P103(f326(f133(x99181),f326(f326(f150(f879(x99181,x99182),x99181),f260(x99181,x99182)),x99183)))
% 149.08/148.75 [5618]~P71(x56181)+E(f326(f326(f22(x56181),f326(f326(f81(x56181),x56182),x56183)),x56183),x56182)
% 149.08/148.75 [5619]~P71(x56191)+E(f326(f326(f81(x56191),f326(f326(f22(x56191),x56192),x56193)),x56193),x56192)
% 149.08/148.75 [5839]~P71(x58391)+E(f326(f326(f81(x58391),x58392),f326(f326(f81(x58391),f326(f80(x58391),x58392)),x58393)),x58393)
% 149.08/148.75 [5924]~P80(x59241)+E(f326(f326(f82(x59241),f326(f326(f251(x59241),x59242),x59243)),x59242),f326(f326(f251(x59241),x59242),f326(a117,x59243)))
% 149.08/148.75 [5925]~P114(x59251)+E(f326(f326(f82(x59251),f326(f326(f251(x59251),x59252),x59253)),x59252),f326(f326(f251(x59251),x59252),f326(a117,x59253)))
% 149.08/148.75 [6138]~P109(x61381)+E(f326(f76(x61381),f326(f326(f251(x61381),f326(f80(x61381),x61382)),x61383)),f326(f76(x61381),f326(f326(f251(x61381),x61382),x61383)))
% 149.08/148.75 [6196]~P80(x61961)+E(f326(f326(f82(x61961),f326(f326(f251(x61961),x61962),x61963)),x61962),f326(f326(f82(x61961),x61962),f326(f326(f251(x61961),x61962),x61963)))
% 149.08/148.75 [6250]E(f326(f326(f22(a104),f326(f326(f81(a104),x62501),x62502)),x62503),f276(x62501,x62502,x62503))+~P103(f326(f326(f241(a104),x62502),x62503))
% 149.08/148.75 [6271]~E(f326(f326(f134(x62711),x62713),x62712),f118(x62711))+P103(f326(f326(f240(a872),f326(f191(f873(x62711)),x62712)),x62713))
% 149.08/148.75 [6405]E(f326(f326(f82(a872),f326(f108(a872),x64051)),f326(f326(f82(a872),f326(f108(a872),x64052)),x64053)),f2(a872))+~P103(f326(f326(f241(a1),x64051),a84))
% 149.08/148.75 [6421]~P59(x64211)+E(f326(f326(f251(x64211),f326(f326(f284(x64211),f79(x64211)),x64212)),x64213),f326(f326(f284(x64211),f79(x64211)),f326(f326(f251(x64211),x64212),x64213)))
% 149.08/148.75 [6498]E(f326(f326(f22(a872),f326(f326(f81(a872),x64981),x64982)),x64983),f326(f326(f22(a872),x64981),f326(f326(f22(a872),x64983),x64982)))+~P103(f326(f326(f240(a872),x64982),x64983))
% 149.08/148.75 [6500]E(f326(f326(f22(a872),f326(f326(f81(a872),x65001),x65002)),x65003),f326(f326(f81(a872),x65001),f326(f326(f22(a872),x65002),x65003)))+~P103(f326(f326(f240(a872),x65003),x65002))
% 149.08/148.75 [6535]~P76(x65351)+P103(f326(f326(f240(x65351),f326(f326(f106(x65351),x65352),x65353)),x65353))
% 149.08/148.75 [6536]~P100(x65361)+P103(f326(f326(f240(x65361),f326(f326(f106(x65361),x65362),x65363)),x65363))
% 149.08/148.75 [6537]~P76(x65371)+P103(f326(f326(f240(x65371),f326(f326(f106(x65371),x65372),x65373)),x65372))
% 149.08/148.75 [6538]~P100(x65381)+P103(f326(f326(f240(x65381),f326(f326(f106(x65381),x65382),x65383)),x65382))
% 149.08/148.75 [6539]~P105(x65391)+P103(f326(f326(f240(x65391),f326(f326(f238(x65391),x65392),x65393)),x65393))
% 149.08/148.75 [6540]~P105(x65401)+P103(f326(f326(f240(x65401),f326(f326(f238(x65401),x65402),x65403)),x65402))
% 149.08/148.75 [6554]E(f326(f326(f39(a1),f326(f326(f39(a1),x65541),x65542)),x65543),f326(f326(f39(a1),x65541),f326(f326(f82(a1),x65542),x65543)))+~P103(f326(f326(f241(a1),f2(a1)),x65543))
% 149.08/148.75 [6606]~P114(x66061)+E(f326(f326(f81(x66061),f326(f326(f82(x66061),x66062),x66063)),x66063),f326(f326(f82(x66061),f326(f326(f81(x66061),x66062),f79(x66061))),x66063))
% 149.08/148.75 [6607]~P93(x66071)+E(f326(f326(f82(x66071),f326(f80(x66071),f326(f108(x66071),x66072))),x66073),f326(f326(f82(x66071),f326(f108(x66071),f326(f80(a1),x66072))),x66073))
% 149.08/148.75 [6679]~P81(x66791)+E(f326(f162(x66791),f326(f326(f150(x66792,x66791),f326(f16(x66791,x66792),f2(x66791))),x66793)),f2(x66791))
% 149.08/148.75 [6695]E(f326(f326(f81(a872),f326(f108(a872),x66951)),f326(f326(f81(a872),f326(f108(a872),x66952)),x66953)),f326(f326(f81(a872),f326(f108(a872),x66952)),x66953))+~P103(f326(a196,f326(f108(a1),x66951)))
% 149.08/148.75 [6709]~P26(x67091)+E(f40(x67091,f326(f326(f304(x67091),x67092),f326(f326(f304(x67091),x67093),f190(f880(x67091,a866))))),f326(f326(f115(x67091),x67092),x67093))
% 149.08/148.75 [6710]~P26(x67101)+E(f41(x67101,f326(f326(f304(x67101),x67102),f326(f326(f304(x67101),x67103),f190(f880(x67101,a866))))),f326(f326(f106(x67101),x67102),x67103))
% 149.08/148.75 [6733]E(f326(f326(f171(x67331),x67332),x67333),x67333)+~P103(f326(f326(f240(a872),f326(f191(f873(x67331)),x67333)),x67332))
% 149.08/148.75 [6746]E(f326(f326(f134(x67461),x67462),x67463),f118(x67461))+~P103(f326(f326(f240(a872),f326(f191(f873(x67461)),x67463)),x67462))
% 149.08/148.75 [6757]E(f326(f326(f81(a872),f326(f326(f22(a872),x67571),x67572)),x67573),f326(f326(f22(a872),f326(f326(f81(a872),x67571),x67573)),x67572))+~P103(f326(f326(f240(a872),x67572),x67571))
% 149.08/148.75 [6771]~P103(f326(f326(f241(a872),x67711),x67713))+P103(f326(f326(f241(a872),f326(f326(f22(a872),x67711),x67712)),x67713))
% 149.08/148.75 [6799]~P105(x67991)+E(f166(x67991,x67992,f326(f326(f144(x67991,x67991,f5(x67991)),x67992),x67993)),x67993)
% 149.08/148.75 [6887]E(f326(f326(f22(a872),f326(f326(f81(a872),x68871),x68872)),f326(a117,x68873)),f326(f326(f22(a872),x68871),f326(a117,f326(f326(f22(a872),x68873),x68872))))+~P103(f326(f326(f240(a872),x68872),x68873))
% 149.08/148.75 [6888]~P109(x68881)+P103(f326(f326(f240(x68881),f2(x68881)),f326(f326(f251(x68881),f326(f76(x68881),x68882)),x68883)))
% 149.08/148.75 [6935]P20(x69351,x69352,x69353)+~P103(f326(f326(f240(f880(f871(x69351),a866)),x69353),x69352))
% 149.08/148.75 [6978]~P103(f326(f62(x69781),x69782))+P103(f326(f62(x69781),f326(f326(f22(f880(x69781,a866)),x69782),x69783)))
% 149.08/148.75 [6979]~P103(f326(f62(x69791),x69793))+P103(f326(f62(x69791),f326(f326(f106(f880(x69791,a866)),x69792),x69793)))
% 149.08/148.75 [6980]~P103(f326(f62(x69801),x69802))+P103(f326(f62(x69801),f326(f326(f106(f880(x69801,a866)),x69802),x69803)))
% 149.08/148.75 [7121]~P37(x71211,x71213)+P37(x71211,f326(f326(f106(f880(f879(x71211,x71211),a866)),x71212),x71213))
% 149.08/148.75 [7122]~P37(x71221,x71222)+P37(x71221,f326(f326(f106(f880(f879(x71221,x71221),a866)),x71222),x71223))
% 149.08/148.75 [7237]~P76(x72371)+E(f10(x72371,f326(f168(x72371),f326(f326(f147(x72371),x72372),x72373))),f326(f138(x72371,x72371,f115(x72371),x72372),x72373))
% 149.08/148.75 [7238]~P76(x72381)+E(f11(x72381,f326(f168(x72381),f326(f326(f147(x72381),x72382),x72383))),f326(f138(x72381,x72381,f106(x72381),x72382),x72383))
% 149.08/148.75 [7239]~P105(x72391)+E(f14(x72391,f326(f168(x72391),f326(f326(f147(x72391),x72392),x72393))),f326(f138(x72391,x72391,f238(x72391),x72392),x72393))
% 149.08/148.75 [7240]~P105(x72401)+E(f15(x72401,f326(f168(x72401),f326(f326(f147(x72401),x72402),x72403))),f326(f138(x72401,x72401,f239(x72401),x72402),x72403))
% 149.08/148.75 [7300]~P103(f326(f62(x73001),x73002))+P103(f326(f326(f240(a872),f326(f38(x73001),x73002)),f326(f38(x73001),f326(f326(f304(x73001),x73003),x73002))))
% 149.08/148.75 [7308]E(f326(f326(f115(f880(a872,a866)),f326(f296(a872,x73081),x73082)),f326(f296(a872,x73082),f326(f326(f81(a872),x73082),x73083))),f326(f296(a872,x73081),f326(f326(f81(a872),x73082),x73083)))+~P103(f326(f326(f240(a872),x73081),x73082))
% 149.08/148.75 [7318]P103(f326(f326(f240(a872),x73181),x73182))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x73183),x73181)),x73182))
% 149.08/148.75 [7319]P103(f326(f326(f240(a872),x73191),x73192))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x73191),x73193)),x73192))
% 149.08/148.75 [7320]P103(f326(f326(f241(a872),x73201),x73202))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),x73201),x73203)),x73202))
% 149.08/148.75 [7362]~P105(x73621)+E(f12(x73621,f239(x73621),f326(f168(x73621),f326(f326(f147(x73621),x73622),x73623))),f326(f138(x73621,x73621,f239(x73621),x73622),x73623))
% 149.08/148.75 [7363]~P105(x73631)+E(f13(x73631,f238(x73631),f326(f168(x73631),f326(f326(f147(x73631),x73632),x73633))),f326(f138(x73631,x73631,f238(x73631),x73632),x73633))
% 149.08/148.75 [7367]~E(x73672,f190(f880(f879(x73671,x73671),a866)))+P103(f326(f326(f240(f880(f879(x73671,x73671),a866)),x73672),x73673))
% 149.08/148.75 [7477]E(f326(f326(f115(f880(x74771,a866)),x74772),f326(f326(f22(f880(x74771,a866)),x74773),x74772)),x74773)+~P103(f326(f326(f240(f880(x74771,a866)),x74772),x74773))
% 149.08/148.75 [7478]~P103(f326(f326(f240(a872),x74781),f326(f326(f81(a872),x74783),x74782)))+P103(f326(f326(f240(a872),f326(f326(f22(a872),x74781),x74782)),x74783))
% 149.08/148.75 [7479]~P103(f326(f326(f241(a872),x74791),f326(f326(f22(a872),x74793),x74792)))+P103(f326(f326(f241(a872),f326(f326(f81(a872),x74791),x74792)),x74793))
% 149.08/148.75 [7535]E(x75351,f118(x75352))+E(f326(f137(x75352),f326(f326(f326(f185(f873(x75352),f873(x75352)),x75353),f164(x75352)),x75351)),f326(f326(f161(x75352),x75351),f45(a872,x75353,f326(f191(f873(x75352)),x75351))))
% 149.08/148.75 [7544]E(f326(f326(f304(x75441),x75442),f326(f326(f22(f880(x75441,a866)),x75443),f326(f326(f304(x75441),x75442),f190(f880(x75441,a866))))),x75443)+~P103(f326(f326(f328(x75441),x75442),x75443))
% 149.08/148.75 [7705]P103(f326(f326(f240(a872),x77051),f326(f326(f81(a872),x77052),x77053)))+~P103(f326(f326(f240(a872),f326(f326(f22(a872),x77051),x77053)),x77052))
% 149.08/148.75 [7706]P103(f326(f326(f241(a872),x77061),f326(f326(f22(a872),x77062),x77063)))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),x77061),x77063)),x77062))
% 149.08/148.75 [7728]P103(f326(f62(x77281),x77282))+~P103(f326(f62(x77281),f326(f326(f115(f880(x77281,a866)),x77283),x77282)))
% 149.08/148.75 [7729]P103(f326(f62(x77291),x77292))+~P103(f326(f62(x77291),f326(f326(f115(f880(x77291,a866)),x77292),x77293)))
% 149.08/148.75 [7804]~P44(x78041,x78043)+P103(f326(f326(f328(f879(x78041,x78041)),f326(f326(f261(x78041,x78041),x78042),x78042)),x78043))
% 149.08/148.75 [7937]E(f326(f326(f161(a872),f135(a872,f326(f296(a872,x79371),x79372))),x79373),f326(f326(f81(a872),x79371),x79373))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),x79371),x79373)),x79372))
% 149.08/148.75 [8005]~P103(f326(f326(f197(f326(a26,x80051)),x80052),x80053))+P103(f326(f326(f197(f326(f237(a868),f326(a28,x80051))),x80052),x80053))
% 149.08/148.75 [8010]E(f326(f326(f171(a872),x80101),f135(a872,f326(f296(a872,x80102),x80103))),f135(a872,f326(f296(a872,x80102),f326(f326(f81(a872),x80102),x80101))))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x80102),x80101)),x80103))
% 149.08/148.75 [8063]~P93(x80631)+E(f326(f326(f251(x80631),x80632),f326(f108(a872),f326(f326(f81(a1),x80633),x80633))),f326(f326(f87(x80631,x80631),f326(f326(f251(x80631),x80632),f326(f108(a872),x80633))),f326(f326(f18(x80631,x80631,x80631),f82(x80631)),f5(x80631))))
% 149.08/148.75 [8272]P103(f326(f326(f197(f326(a26,x82721)),x82722),x82723))+~P103(f326(f326(f197(f326(f237(a868),f326(a28,x82721))),x82722),x82723))
% 149.08/148.75 [8332]E(f326(f326(f126(x83321),f326(f326(f171(x83321),x83322),x83323)),f326(f326(f147(x83321),f326(f326(f161(x83321),x83323),x83322)),f326(f326(f134(x83321),f326(a117,x83322)),x83323))),x83323)+~P103(f326(f326(f241(a872),x83322),f326(f191(f873(x83321)),x83323)))
% 149.08/148.75 [8339]P103(f326(f326(f240(f880(x83391,a866)),f314(x83391,x83392)),f314(x83391,x83393)))+~P103(f326(f326(f240(f880(x83391,f880(x83391,a866))),x83393),x83392))
% 149.08/148.75 [8341]~P51(x83411,x83412,x83413)+P51(x83411,x83412,f326(f326(f22(f880(f879(x83411,x83411),a866)),x83413),f302(x83411,f190(f880(f879(x83411,x83411),a866)))))
% 149.08/148.75 [8359]P103(f326(f326(f240(f880(x83591,a866)),f315(x83591,x83592)),f315(x83591,x83593)))+~P103(f326(f326(f240(f880(f879(x83591,x83591),a866)),x83593),x83592))
% 149.08/148.75 [8366]~P121(x83661)+P103(f326(f326(f240(x83661),f2(x83661)),f326(f326(f81(x83661),f326(f326(f82(x83661),x83662),x83662)),f326(f326(f82(x83661),x83663),x83663))))
% 149.08/148.75 [8401]P103(f326(f326(f240(f880(x84011,a866)),f326(f279(x84011),x84012)),f326(f279(x84011),x84013)))+~P103(f326(f326(f240(f880(f879(x84011,x84011),a866)),x84012),x84013))
% 149.08/148.75 [8434]~P48(x84341,x84342)+~P103(f326(f326(f328(f879(x84341,x84341)),f326(f326(f261(x84341,x84341),x84343),x84343)),x84342))
% 149.08/148.75 [8436]~P37(x84361,x84362)+~P103(f326(f326(f328(f879(x84361,x84361)),f326(f326(f261(x84361,x84361),x84363),x84363)),x84362))
% 149.08/148.75 [8499]P103(f326(f326(f240(f880(x84991,a866)),f40(f880(x84991,a866),x84992)),f40(f880(x84991,a866),x84993)))+~P103(f326(f326(f240(f880(f880(x84991,a866),a866)),x84992),x84993))
% 149.08/148.75 [8500]P103(f326(f326(f240(f880(x85001,a866)),f41(f880(x85001,a866),x85002)),f41(f880(x85001,a866),x85003)))+~P103(f326(f326(f240(f880(f880(x85001,a866),a866)),x85003),x85002))
% 149.08/148.75 [8552]~P3(x85521,x85523,x85522)+P103(f326(f326(f240(f880(f879(x85521,x85521),a866)),x85522),f326(f326(f263(x85521,x85521),x85523),f326(f16(f880(x85521,a866),x85521),x85523))))
% 149.08/148.75 [8553]~P47(x85531,x85533,x85532)+P103(f326(f326(f240(f880(f879(x85531,x85531),a866)),x85532),f326(f326(f263(x85531,x85531),x85533),f326(f16(f880(x85531,a866),x85531),x85533))))
% 149.08/148.75 [8599]~P84(x85991)+P103(f326(f326(f240(x85991),f326(f326(f22(x85991),f326(f76(x85991),x85992)),f326(f76(x85991),x85993))),f326(f76(x85991),f326(f326(f22(x85991),x85993),x85992))))
% 149.08/148.75 [8600]~P84(x86001)+P103(f326(f326(f240(x86001),f326(f326(f22(x86001),f326(f76(x86001),x86002)),f326(f76(x86001),x86003))),f326(f76(x86001),f326(f326(f22(x86001),x86002),x86003))))
% 149.08/148.75 [8630]P103(f326(f326(f240(f880(f879(x86301,x86301),a866)),f302(x86301,x86302)),f302(x86301,x86303)))+~P103(f326(f326(f240(f880(f879(x86301,x86301),a866)),x86302),x86303))
% 149.08/148.75 [8786]P51(x87861,x87862,x87863)+~P51(x87861,x87862,f326(f326(f22(f880(f879(x87861,x87861),a866)),x87863),f302(x87861,f190(f880(f879(x87861,x87861),a866)))))
% 149.08/148.75 [8805]P103(f326(f326(f240(f880(f879(f873(x88051),f873(x88051)),a866)),f154(x88051,x88052)),f154(x88051,x88053)))+~P103(f326(f326(f240(f880(f879(x88051,x88051),a866)),x88052),x88053))
% 149.08/148.75 [8806]P103(f326(f326(f240(f880(f879(f873(x88061),f873(x88061)),a866)),f153(x88061,x88062)),f153(x88061,x88063)))+~P103(f326(f326(f240(f880(f879(x88061,x88061),a866)),x88062),x88063))
% 149.08/148.75 [8825]~P47(x88251,x88253,x88252)+P103(f326(f326(f240(f880(f879(x88251,x88251),a866)),x88252),f326(f326(f283(x88251,x88251,x88251),f326(f281(x88251,x88251),x88252)),x88252)))
% 149.08/148.75 [8874]~P103(f326(f133(x88741),x88742))+E(f326(f132(x88741,f326(f326(f7(x88741,f880(x88741,a866),a866),f328(x88741)),f326(f168(x88741),f172(x88741,x88742,x88743)))),x88742),f172(x88741,x88742,x88743))
% 149.08/148.75 [8937]E(x89371,x89372)+~P103(f326(f326(f328(f879(x89373,x89373)),f326(f326(f261(x89373,x89373),x89371),x89372)),f302(x89373,f190(f880(f879(x89373,x89373),a866)))))
% 149.08/148.75 [9022]P103(f326(f326(f328(x90221),x90222),f315(x90221,x90223)))+P103(f326(f326(f328(f879(x90221,x90221)),f326(f326(f261(x90221,x90221),f558(x90223,x90222,x90221)),x90222)),x90223))
% 149.08/148.75 [9023]P103(f326(f326(f328(x90231),x90232),f315(x90231,x90233)))+P103(f326(f326(f328(f879(x90231,x90231)),f326(f326(f261(x90231,x90231),f623(x90233,x90232,x90231)),x90232)),x90233))
% 149.08/148.75 [9024]P103(f326(f326(f328(x90241),x90242),f315(x90241,x90243)))+P103(f326(f326(f328(f879(x90241,x90241)),f326(f326(f261(x90241,x90241),f625(x90243,x90242,x90241)),x90242)),x90243))
% 149.08/148.75 [9110]~P103(f326(f326(f328(f873(x91101)),x91103),f157(x91101,x91102)))+P103(f326(f156(x91101,f326(f326(f7(x91101,f880(x91101,a866),a866),f328(x91101)),x91102)),x91103))
% 149.08/148.75 [9131]P103(f326(x91313,x91312))+E(f326(f246(x91311),f326(f326(f18(x91311,a866,a866),f326(f326(f8(a866,f880(a866,a866),x91311),a324),f326(a323,x91312))),x91313)),f190(f880(x91311,a866)))
% 149.08/148.75 [9152]~P84(x91521)+P103(f326(f326(f240(x91521),f326(f76(x91521),f326(f326(f22(x91521),f326(f76(x91521),x91522)),f326(f76(x91521),x91523)))),f326(f76(x91521),f326(f326(f22(x91521),x91522),x91523))))
% 149.08/148.75 [9166]~P103(f326(x91663,x91662))+E(f326(f246(x91661),f326(f326(f18(x91661,a866,a866),f326(f326(f8(a866,f880(a866,a866),x91661),a324),f326(a323,x91662))),x91663)),f326(f326(f304(x91661),x91662),f190(f880(x91661,a866))))
% 149.08/148.75 [9173]~P103(f326(f326(f328(f880(x91731,a866)),x91733),f326(f303(x91731),x91732)))+P103(f326(f254(x91731,f326(f326(f7(x91731,f880(x91731,a866),a866),f328(x91731)),x91732)),x91733))
% 149.08/148.75 [9206]P37(x92061,x92062)+P103(f326(f326(f328(f879(x92061,x92061)),f326(f326(f261(x92061,x92061),f326(f566(x92062,x92061),f326(a117,x92063))),f326(f566(x92062,x92061),x92063))),x92062))
% 149.08/148.75 [9347]P103(f326(f326(f328(f873(x93471)),x93472),f157(x93471,x93473)))+~P103(f326(f156(x93471,f326(f326(f7(x93471,f880(x93471,a866),a866),f328(x93471)),x93473)),x93472))
% 149.08/148.75 [9360]P103(f326(f326(f328(f880(x93601,a866)),x93602),f326(f303(x93601),x93603)))+~P103(f326(f254(x93601,f326(f326(f7(x93601,f880(x93601,a866),a866),f328(x93601)),x93603)),x93602))
% 149.08/148.75 [9417]P103(f326(f326(f328(x94171),f326(f272(x94171,x94172),x94173)),f326(f168(x94171),f326(f326(f150(f879(a104,x94171),x94171),f264(a104,x94171)),x94172))))+~P103(f326(f326(f241(a104),x94173),f326(f162(a104),f326(f326(f150(f879(a104,x94171),a104),f260(a104,x94171)),x94172))))
% 149.08/148.75 [9465]P103(f326(f326(f240(f880(f879(f873(x94651),f873(x94651)),a866)),f154(x94651,x94652)),f326(f326(f263(f873(x94651),f873(x94651)),f157(x94651,x94653)),f326(f16(f880(f873(x94651),a866),f873(x94651)),f157(x94651,x94653)))))+~P103(f326(f326(f240(f880(f879(x94651,x94651),a866)),x94652),f326(f326(f263(x94651,x94651),x94653),f326(f16(f880(x94651,a866),x94651),x94653))))
% 149.08/148.75 [9486]P103(f326(f326(f328(x94861),f326(f260(x94861,f879(a104,a104)),f326(f270(x94861,x94862),x94863))),f326(f168(x94861),f326(f326(f150(f879(a104,x94861),x94861),f264(a104,x94861)),x94862))))+~P103(f326(f326(f241(a104),f2(a104)),f326(f162(a104),f326(f326(f150(f879(a104,x94861),a104),f260(a104,x94861)),x94862))))
% 149.08/148.75 [9503]~P103(f326(f326(f240(f880(f879(x95031,x95031),a866)),x95032),f326(f326(f263(x95031,x95031),x95033),f326(f16(f880(x95031,a866),x95031),x95033))))+P103(f326(f326(f240(f880(f879(x95031,x95031),a866)),f326(f326(f283(x95031,x95031,x95031),x95032),f302(x95031,x95032))),f326(f326(f263(x95031,x95031),x95033),f326(f16(f880(x95031,a866),x95031),x95033))))
% 149.08/148.75 [9805]~P37(x98051,x98052)+~P103(f326(f326(f328(f879(x98051,x98051)),f326(f326(f261(x98051,x98051),f326(x98053,f326(a117,f567(x98052,x98051,x98053)))),f326(x98053,f567(x98052,x98051,x98053)))),x98052))
% 149.08/148.75 [9806]~P37(x98061,x98062)+~P103(f326(f326(f328(f879(x98061,x98061)),f326(f326(f261(x98061,x98061),f326(x98063,f326(a117,f631(x98063,x98062,x98061)))),f326(x98063,f631(x98063,x98062,x98061)))),x98062))
% 149.08/148.75 [10058]P103(f326(f326(f240(f880(f879(f880(x100581,a866),f880(x100581,a866)),a866)),f326(f326(f283(f880(x100581,a866),f880(x100581,a866),f880(x100581,a866)),f317(x100581,x100582)),f326(f326(f115(f880(f879(f880(x100581,a866),f880(x100581,a866)),a866)),f317(x100581,x100583)),f326(f326(f304(f879(f880(x100581,a866),f880(x100581,a866))),f326(f326(f261(f880(x100581,a866),f880(x100581,a866)),f190(f880(x100581,a866))),f190(f880(x100581,a866)))),f190(f880(f879(f880(x100581,a866),f880(x100581,a866)),a866)))))),f317(x100581,x100582)))+~P103(f326(f326(f240(f880(f879(x100581,x100581),a866)),f326(f326(f283(x100581,x100581,x100581),x100582),x100583)),x100582))
% 149.08/148.75 [10059]P103(f326(f326(f240(f880(f879(f880(x100591,a866),f880(x100591,a866)),a866)),f326(f326(f283(f880(x100591,a866),f880(x100591,a866),f880(x100591,a866)),f319(x100591,x100592)),f326(f326(f115(f880(f879(f880(x100591,a866),f880(x100591,a866)),a866)),f319(x100591,x100593)),f326(f326(f304(f879(f880(x100591,a866),f880(x100591,a866))),f326(f326(f261(f880(x100591,a866),f880(x100591,a866)),f190(f880(x100591,a866))),f190(f880(x100591,a866)))),f190(f880(f879(f880(x100591,a866),f880(x100591,a866)),a866)))))),f319(x100591,x100592)))+~P103(f326(f326(f240(f880(f879(x100591,x100591),a866)),f326(f326(f283(x100591,x100591,x100591),x100592),x100593)),x100592))
% 149.08/148.75 [7236]~P103(f326(f326(f240(a872),x72362),x72361))+E(f326(f326(f22(a872),f326(a117,f326(f326(f22(a872),x72361),x72362))),x72363),f326(f326(f22(a872),f326(a117,x72361)),f326(f326(f81(a872),x72362),x72363)))
% 149.08/148.75 [7275]~P56(x72751)+E(f326(f326(f81(x72751),f45(x72751,x72752,x72753)),f326(f326(f82(x72751),f326(f326(f39(x72751),x72752),x72753)),x72753)),x72752)
% 149.08/148.75 [7483]E(f326(f326(f82(a872),f326(f108(a872),x74831)),f326(f326(f82(a872),f326(f108(a872),x74832)),x74833)),f326(f326(f82(a872),f326(f108(a872),f326(f326(f82(a1),x74831),x74832))),x74833))+P103(f326(f326(f241(a1),x74831),a84))
% 149.08/148.75 [7946]~P103(f326(f326(f240(a872),x79463),x79462))+P103(f326(f326(f240(a872),x79461),f326(f326(f22(a872),f326(f326(f81(a872),x79462),x79461)),x79463)))
% 149.08/148.75 [8152]~P103(f326(f326(f240(a872),x81521),x81522))+E(f326(f326(f126(a872),f135(a872,f326(f296(a872,x81521),x81522))),f135(a872,f326(f296(a872,x81522),f326(f326(f81(a872),x81522),x81523)))),f135(a872,f326(f296(a872,x81521),f326(f326(f81(a872),x81522),x81523))))
% 149.08/148.75 [8410]~P103(f326(f62(x84101),x84102))+E(f326(a117,f326(f38(x84101),f326(f326(f22(f880(x84101,a866)),x84102),f326(f326(f304(x84101),x84103),f190(f880(x84101,a866)))))),f326(f38(x84101),f326(f326(f304(x84101),x84103),x84102)))
% 149.08/148.75 [8459]~P103(f326(f62(x84591),x84592))+E(f326(f326(f81(a872),f79(a872)),f326(f38(x84591),f326(f326(f22(f880(x84591,a866)),x84592),f326(f326(f304(x84591),x84593),f190(f880(x84591,a866)))))),f326(f38(x84591),f326(f326(f304(x84591),x84593),x84592)))
% 149.08/148.75 [8639]E(f326(f326(f22(a872),f326(f38(x86391),x86392)),f326(f38(x86391),f326(f326(f106(f880(x86391,a866)),x86392),x86393))),f326(f38(x86391),f326(f326(f22(f880(x86391,a866)),x86392),x86393)))+~P103(f326(f62(x86391),f326(f326(f106(f880(x86391,a866)),x86392),x86393)))
% 149.08/148.75 [8870]~P27(f326(x88702,f432(x88702,x88703,x88701)))+E(f326(f105(a1),f326(f326(f6(x88701,a872),f326(f326(f8(a1,a872,x88701),a109),x88702)),x88703)),f326(f326(f6(x88701,a1),x88702),x88703))
% 149.08/148.75 [8871]~P27(f326(x88712,f482(x88712,x88713,x88711)))+E(f326(f105(a1),f326(f326(f9(x88711,a872),f326(f326(f8(a1,a872,x88711),a109),x88712)),x88713)),f326(f326(f9(x88711,a1),x88712),x88713))
% 149.08/148.75 [8919]~P103(f326(f62(x89191),x89193))+P103(f326(f326(f240(a872),f326(f326(f22(a872),f326(f38(x89191),x89192)),f326(f38(x89191),x89193))),f326(f38(x89191),f326(f326(f22(f880(x89191,a866)),x89192),x89193))))
% 149.08/148.75 [8945]P103(f326(f326(f328(x89451),f432(x89452,x89453,x89451)),x89453))+E(f326(f105(a1),f326(f326(f6(x89451,a872),f326(f326(f8(a1,a872,x89451),a109),x89452)),x89453)),f326(f326(f6(x89451,a1),x89452),x89453))
% 149.08/148.75 [8946]P103(f326(f326(f328(x89461),f482(x89462,x89463,x89461)),x89463))+E(f326(f105(a1),f326(f326(f9(x89461,a872),f326(f326(f8(a1,a872,x89461),a109),x89462)),x89463)),f326(f326(f9(x89461,a1),x89462),x89463))
% 149.08/148.75 [9014]E(f86(x90141,f326(f326(f7(x90141,f880(x90141,a866),a866),f328(x90141)),f326(f326(f22(f880(x90141,a866)),x90142),f326(f326(f304(x90141),x90143),f190(f880(x90141,a866)))))),f253(x90141,x90143,x90142))+P103(f326(f326(f240(f880(x90141,a866)),x90142),f326(f326(f304(x90141),x90143),f190(f880(x90141,a866)))))
% 149.08/148.75 [9361]E(f326(f326(f150(f873(x93611),x93611),f326(f326(f7(f873(x93611),a872,x93611),f161(x93611)),x93612)),f326(f132(f873(x93611),f326(f326(f8(a872,a866,f873(x93611)),f326(f241(a872),x93612)),f191(f873(x93611)))),x93613)),f326(f326(f161(f873(x93611)),f176(x93611,x93613)),x93612))+~P103(f326(f326(f241(a872),x93612),f326(f191(f873(f873(x93611))),f176(x93611,x93613))))
% 149.08/148.75 [9434]E(f326(f132(x94341,x94342),x94343),f173(x94341,x94342,x94343))+P103(f326(f326(f328(x94341),f749(x94343,x94342,x94341)),f326(f168(x94341),f326(f326(f134(x94341),f326(f191(f873(x94341)),f173(x94341,x94342,x94343))),x94343))))
% 149.08/148.75 [9574]E(f326(f326(f134(x95741),f326(f191(f873(x95741)),f173(x95741,x95742,x95743))),x95743),f118(x95741))+~P103(f326(x95742,f326(f137(x95741),f326(f326(f134(x95741),f326(f191(f873(x95741)),f173(x95741,x95742,x95743))),x95743))))
% 149.08/148.75 [9667]~P103(f326(f326(f328(f879(x96671,x96671)),x96672),f302(x96671,x96673)))+P103(f326(f326(f328(f879(x96671,x96671)),x96672),f326(f326(f42(a872,f880(f879(x96671,x96671),a866)),f249(f880(a872,a866))),f326(f326(f7(a872,f880(f879(x96671,x96671),a866),f880(f879(x96671,x96671),a866)),f185(f879(x96671,x96671),a866)),x96673))))
% 149.08/148.75 [9723]~P103(f326(f326(f240(f880(x97231,a866)),f326(f326(f42(a872,f880(x97231,a866)),f326(f296(a872,f2(a872)),f426(x97233,x97232,x97231))),x97232)),x97233))+P103(f326(f326(f240(f880(x97231,a866)),f326(f326(f42(a872,f880(x97231,a866)),f249(f880(a872,a866))),x97232)),x97233))
% 149.08/148.75 [9781]~P103(f326(f326(f241(a1),f2(a1)),x97813))+P103(f326(f326(f241(a1),x97811),f326(f326(f81(a1),x97812),f326(f326(f82(a1),f326(f326(f81(a1),f326(f76(a1),f326(f326(f22(a1),x97812),x97811))),f79(a1))),x97813))))
% 149.08/148.75 [9792]~P37(x97921,f326(f326(f115(f880(f879(x97921,x97921),a866)),x97922),x97923))+P37(x97921,f326(f326(f115(f880(f879(x97921,x97921),a866)),f326(f326(f115(f880(f879(x97921,x97921),a866)),f326(f326(f283(x97921,x97921,x97921),x97922),x97922)),f326(f326(f283(x97921,x97921,x97921),x97923),x97922))),x97923))
% 149.08/148.75 [9874]P37(x98741,f326(f326(f115(f880(f879(x98741,x98741),a866)),x98742),x98743))+~P37(x98741,f326(f326(f115(f880(f879(x98741,x98741),a866)),f326(f326(f115(f880(f879(x98741,x98741),a866)),f326(f326(f283(x98741,x98741,x98741),x98742),x98742)),f326(f326(f283(x98741,x98741,x98741),x98743),x98742))),x98743))
% 149.08/148.75 [9438]~P138(x94381)+E(f326(f107(x94381),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x94382),x94383)),f190(f880(f879(a872,a872),a866)))))),f326(f326(f22(x94381),f326(f105(x94381),x94382)),f326(f105(x94381),x94383)))
% 149.08/148.75 [9521]P103(f326(x95213,x95212))+E(f326(f246(x95211),f326(f326(f18(x95211,a866,a866),f326(f326(f8(a866,f880(a866,a866),x95211),a324),f326(f326(f7(x95211,x95211,a866),a323),x95212))),x95213)),f190(f880(x95211,a866)))
% 149.08/148.75 [9523]~P103(f326(x95233,x95232))+E(f326(f246(x95231),f326(f326(f18(x95231,a866,a866),f326(f326(f8(a866,f880(a866,a866),x95231),a324),f326(f326(f7(x95231,x95231,a866),a323),x95232))),x95233)),f326(f326(f304(x95231),x95232),f190(f880(x95231,a866))))
% 149.08/148.75 [9759]E(x97591,x97592)+P103(f326(f326(f250(x97593,x97593,f326(f326(f8(f880(x97593,a866),f880(x97593,a866),x97593),f326(f8(a866,a866,x97593),a321)),a323)),x97591),x97592))
% 149.08/148.75 [9852]~E(x98521,x98522)+~P103(f326(f326(f250(x98523,x98523,f326(f326(f8(f880(x98523,a866),f880(x98523,a866),x98523),f326(f8(a866,a866,x98523),a321)),a323)),x98521),x98522))
% 149.08/148.75 [9866]~P103(f326(f62(x98661),x98663))+E(f326(f326(f65(x98661,f880(x98661,a866),f326(f326(f8(f880(x98661,a866),f880(f880(x98661,a866),f880(x98661,a866)),x98661),f326(f7(f880(x98661,a866),f880(x98661,a866),f880(x98661,a866)),f22(f880(x98661,a866)))),f326(f326(f7(x98661,f880(x98661,a866),f880(x98661,a866)),f304(x98661)),f190(f880(x98661,a866))))),x98662),x98663),f326(f326(f22(f880(x98661,a866)),x98662),x98663))
% 149.08/148.75 [9898]~P103(f326(f326(f241(a1),f2(a1)),x98983))+P103(f326(f326(f241(a1),f326(f326(f22(a1),x98981),f326(f326(f82(a1),f326(f326(f81(a1),f326(f76(a1),f326(f326(f22(a1),x98981),x98982))),f79(a1))),x98983))),x98982))
% 149.08/148.75 [10120]~P103(f326(f326(f328(x101201),x101203),f315(x101201,x101202)))+P103(f326(f314(x101201,f326(f326(f7(x101201,f880(f879(x101201,x101201),a866),f880(x101201,a866)),f326(f326(f8(f880(x101201,f880(f880(f879(x101201,x101201),a866),a866)),f880(f880(f879(x101201,x101201),a866),f880(x101201,a866)),x101201),f7(x101201,f880(f879(x101201,x101201),a866),a866)),f326(f326(f8(f880(x101201,f879(x101201,x101201)),f880(x101201,f880(f880(f879(x101201,x101201),a866),a866)),x101201),f326(f8(f879(x101201,x101201),f880(f880(f879(x101201,x101201),a866),a866),x101201),f328(f879(x101201,x101201)))),f261(x101201,x101201)))),x101202)),x101203))
% 149.08/148.75 [10132]P103(f326(f326(f328(x101321),x101322),f315(x101321,x101323)))+~P103(f326(f314(x101321,f326(f326(f7(x101321,f880(f879(x101321,x101321),a866),f880(x101321,a866)),f326(f326(f8(f880(x101321,f880(f880(f879(x101321,x101321),a866),a866)),f880(f880(f879(x101321,x101321),a866),f880(x101321,a866)),x101321),f7(x101321,f880(f879(x101321,x101321),a866),a866)),f326(f326(f8(f880(x101321,f879(x101321,x101321)),f880(x101321,f880(f880(f879(x101321,x101321),a866),a866)),x101321),f326(f8(f879(x101321,x101321),f880(f880(f879(x101321,x101321),a866),a866),x101321),f328(f879(x101321,x101321)))),f261(x101321,x101321)))),x101323)),x101322))
% 149.08/148.75 [9721]~P103(f326(f62(x97211),f326(f246(x97211),x97213)))+P103(f326(f62(x97211),f326(f246(x97211),f326(f326(f18(x97211,a866,a866),f326(f326(f8(a866,f880(a866,a866),x97211),a324),x97212)),x97213))))
% 149.08/148.75 [9722]~P103(f326(f62(x97221),f326(f246(x97221),x97222)))+P103(f326(f62(x97221),f326(f246(x97221),f326(f326(f18(x97221,a866,a866),f326(f326(f8(a866,f880(a866,a866),x97221),a324),x97222)),x97223))))
% 149.08/148.75 [9824]P103(f326(f62(x98241),f326(f246(x98241),x98242)))+~P103(f326(f62(x98241),f326(f246(x98241),f326(f326(f18(x98241,a866,a866),f326(f326(f8(a866,f880(a866,a866),x98241),a325),x98243)),x98242))))
% 149.08/148.75 [9825]P103(f326(f62(x98251),f326(f246(x98251),x98252)))+~P103(f326(f62(x98251),f326(f246(x98251),f326(f326(f18(x98251,a866,a866),f326(f326(f8(a866,f880(a866,a866),x98251),a325),x98252)),x98253))))
% 149.08/148.75 [10107]~P103(f326(f62(x101071),x101072))+P103(f326(f62(f873(x101071)),f326(f246(f873(x101071)),f326(f326(f18(f873(x101071),a866,a866),f326(f326(f8(a866,f880(a866,a866),f873(x101071)),a324),f326(f326(f7(f873(x101071),f880(x101071,a866),a866),f326(f326(f8(f880(x101071,a866),f880(f880(x101071,a866),a866),f873(x101071)),f240(f880(x101071,a866))),f168(x101071))),x101072))),f326(f326(f7(f873(x101071),a872,a866),f326(f326(f8(a872,f880(a872,a866),f873(x101071)),a323),f191(f873(x101071)))),x101073)))))
% 149.08/148.75 [10108]~P103(f326(f62(x101081),x101082))+P103(f326(f62(f873(x101081)),f326(f246(f873(x101081)),f326(f326(f18(f873(x101081),a866,a866),f326(f326(f8(a866,f880(a866,a866),f873(x101081)),a324),f326(f326(f7(f873(x101081),f880(x101081,a866),a866),f326(f326(f8(f880(x101081,a866),f880(f880(x101081,a866),a866),f873(x101081)),f240(f880(x101081,a866))),f168(x101081))),x101082))),f326(f326(f7(f873(x101081),a872,a866),f326(f326(f8(a872,f880(a872,a866),f873(x101081)),f240(a872)),f191(f873(x101081)))),x101083)))))
% 149.08/148.75 [9839]~P114(x98391)+E(f326(f326(f251(x98391),x98392),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x98393)),f326(f326(f82(x98391),f326(f326(f251(x98391),x98392),x98393)),f326(f326(f251(x98391),x98392),x98393)))
% 149.08/148.75 [9879]~P80(x98791)+E(f326(f326(f251(x98791),f326(f326(f251(x98791),x98792),x98793)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f251(x98791),x98792),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x98793)))
% 149.08/148.75 [9925]~P138(x99251)+E(f326(f326(f251(x99251),f326(f80(x99251),x99252)),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99253)),f326(f326(f251(x99251),x99252),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99253)))
% 149.08/148.75 [10065]~P109(x100651)+P103(f326(f326(f240(x100651),f2(x100651)),f326(f326(f81(x100651),f326(f326(f251(x100651),x100652),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100651),x100653),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))))
% 149.08/148.75 [9935]~P114(x99351)+E(f326(f326(f251(x99351),x99352),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99353))),f326(f326(f82(x99351),x99352),f326(f326(f82(x99351),f326(f326(f251(x99351),x99352),x99353)),f326(f326(f251(x99351),x99352),x99353))))
% 149.08/148.75 [9984]~P80(x99841)+E(f326(f326(f82(x99841),x99842),f326(f326(f251(x99841),f326(f326(f251(x99841),x99842),x99843)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x99841),x99842),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99843))))
% 149.08/148.75 [10022]~P109(x100221)+P103(f326(f326(f240(x100221),f2(x100221)),f326(f326(f251(x100221),x100222),f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100223))))
% 149.08/148.75 [10088]~P93(x100881)+E(f326(f326(f22(x100881),f326(f326(f81(x100881),f326(f326(f251(x100881),x100882),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100881),x100883),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f326(f326(f82(x100881),f326(f326(f82(x100881),f326(f108(x100881),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100882)),x100883)),f326(f326(f251(x100881),f326(f326(f22(x100881),x100882),x100883)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [10089]~P93(x100891)+E(f326(f326(f81(x100891),f326(f326(f81(x100891),f326(f326(f251(x100891),x100892),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100891),x100893),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f326(f326(f82(x100891),f326(f326(f82(x100891),f326(f108(x100891),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x100892)),x100893)),f326(f326(f251(x100891),f326(f326(f81(x100891),x100892),x100893)),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [10187]~P29(x101871,x101872,x101873)+P103(f100(x101871,a866,f326(f326(f8(f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,a866))),f880(a868,f880(f880(x101871,f880(a867,a866)),a866)),f880(x101871,f880(a867,a866))),f326(f8(f880(f880(x101871,f880(a867,a866)),f880(x101871,a866)),f880(f880(x101871,f880(a867,a866)),a866),a868),f326(f8(f880(x101871,a866),a866,f880(x101871,f880(a867,a866))),f89(x101871)))),f326(f326(f8(f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,a866))),f880(x101871,f880(a867,a866))),f326(f8(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,a866)),a868),f326(f8(f880(x101871,f880(a867,a866)),f880(x101871,a866),f880(x101871,f880(a867,a866))),f326(f8(f880(a867,a866),a866,x101871),f89(a867))))),f326(f326(f7(f880(x101871,f880(a867,a866)),f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))))),f326(f326(f8(f880(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f880(f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f880(a868,f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))))),f880(x101871,f880(a867,a866))),f8(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),a868)),f326(f326(f8(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f880(x101871,f880(a867,a866))),f8(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866)))),f326(f326(f8(f880(x101871,f880(f880(a867,a866),f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f880(x101871,f880(a867,a866))),f18(x101871,f880(a867,a866),f880(a867,a866))),f326(f326(f8(f880(x101871,f880(a867,f880(a866,a866))),f880(x101871,f880(f880(a867,a866),f880(a867,a866))),f880(x101871,f880(a867,a866))),f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),x101871),f18(a867,a866,a866))),f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),x101871),f326(f8(a866,f880(a866,a866),a867),a329))))))),f326(f326(f8(f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,f880(a867,a866)))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),a868),f326(f8(f880(x101871,f880(a867,f880(a867,a866))),f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,a866))),f326(f8(f880(a867,f880(a867,a866)),f880(a867,a866),x101871),f326(f8(f880(a867,a866),a866,a867),f89(a867))))),f326(f326(f8(f880(f880(a867,a866),f880(a867,f880(a867,a866))),f880(f880(x101871,f880(a867,a866)),f880(x101871,f880(a867,f880(a867,a866)))),a868),f8(f880(a867,a866),f880(a867,f880(a867,a866)),x101871)),f326(f326(f8(f880(a867,f880(f880(a867,a866),f880(a867,a866))),f880(f880(a867,a866),f880(a867,f880(a867,a866))),a868),f7(a867,f880(a867,a866),f880(a867,a866))),f326(f326(f8(f880(a867,f880(a867,f880(a866,a866))),f880(a867,f880(f880(a867,a866),f880(a867,a866))),a868),f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),a867),f18(a867,a866,a866))),f326(f326(f8(f880(a867,f880(a867,a866)),f880(a867,f880(a867,f880(a866,a866))),a868),f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),a867),f326(f8(a866,f880(a866,a866),a867),a329))),f326(f326(f7(a868,a872,f880(a867,f880(a867,a866))),f326(f326(f8(f880(a867,f880(a872,f880(a867,a866))),f880(a872,f880(a867,f880(a867,a866))),a868),f7(a867,a872,f880(a867,a866))),a199)),x101872))))))))),x101873))
% 149.08/148.75 [10189]P29(x101891,x101892,x101893)+~P103(f100(x101891,a866,f326(f326(f8(f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,a866))),f880(a868,f880(f880(x101891,f880(a867,a866)),a866)),f880(x101891,f880(a867,a866))),f326(f8(f880(f880(x101891,f880(a867,a866)),f880(x101891,a866)),f880(f880(x101891,f880(a867,a866)),a866),a868),f326(f8(f880(x101891,a866),a866,f880(x101891,f880(a867,a866))),f89(x101891)))),f326(f326(f8(f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,a866))),f880(x101891,f880(a867,a866))),f326(f8(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,a866)),a868),f326(f8(f880(x101891,f880(a867,a866)),f880(x101891,a866),f880(x101891,f880(a867,a866))),f326(f8(f880(a867,a866),a866,x101891),f89(a867))))),f326(f326(f7(f880(x101891,f880(a867,a866)),f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))))),f326(f326(f8(f880(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f880(f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f880(a868,f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))))),f880(x101891,f880(a867,a866))),f8(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),a868)),f326(f326(f8(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f880(x101891,f880(a867,a866))),f8(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866)))),f326(f326(f8(f880(x101891,f880(f880(a867,a866),f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f880(x101891,f880(a867,a866))),f18(x101891,f880(a867,a866),f880(a867,a866))),f326(f326(f8(f880(x101891,f880(a867,f880(a866,a866))),f880(x101891,f880(f880(a867,a866),f880(a867,a866))),f880(x101891,f880(a867,a866))),f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),x101891),f18(a867,a866,a866))),f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),x101891),f326(f8(a866,f880(a866,a866),a867),a329))))))),f326(f326(f8(f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,f880(a867,a866)))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),a868),f326(f8(f880(x101891,f880(a867,f880(a867,a866))),f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,a866))),f326(f8(f880(a867,f880(a867,a866)),f880(a867,a866),x101891),f326(f8(f880(a867,a866),a866,a867),f89(a867))))),f326(f326(f8(f880(f880(a867,a866),f880(a867,f880(a867,a866))),f880(f880(x101891,f880(a867,a866)),f880(x101891,f880(a867,f880(a867,a866)))),a868),f8(f880(a867,a866),f880(a867,f880(a867,a866)),x101891)),f326(f326(f8(f880(a867,f880(f880(a867,a866),f880(a867,a866))),f880(f880(a867,a866),f880(a867,f880(a867,a866))),a868),f7(a867,f880(a867,a866),f880(a867,a866))),f326(f326(f8(f880(a867,f880(a867,f880(a866,a866))),f880(a867,f880(f880(a867,a866),f880(a867,a866))),a868),f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),a867),f18(a867,a866,a866))),f326(f326(f8(f880(a867,f880(a867,a866)),f880(a867,f880(a867,f880(a866,a866))),a868),f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),a867),f326(f8(a866,f880(a866,a866),a867),a329))),f326(f326(f7(a868,a872,f880(a867,f880(a867,a866))),f326(f326(f8(f880(a867,f880(a872,f880(a867,a866))),f880(a872,f880(a867,f880(a867,a866))),a868),f7(a867,a872,f880(a867,a866))),a199)),x101892))))))))),x101893))
% 149.08/148.75 [4664]E(x46641,x46642)+~E(f34(x46643,x46641),f34(x46644,x46642))
% 149.08/148.75 [4665]E(x46651,x46652)+~E(f34(x46651,x46653),f34(x46652,x46654))
% 149.08/148.75 [4666]E(x46661,x46662)+~E(f33(x46663,x46661),f33(x46664,x46662))
% 149.08/148.75 [4667]E(x46671,x46672)+~E(f33(x46671,x46673),f33(x46672,x46674))
% 149.08/148.75 [7747]P21(x77471,x77472,x77473,x77474)+~E(f551(x77474,x77473,x77472,x77471),f552(x77474,x77473,x77472,x77471))
% 149.08/148.75 [8042]P34(x80421,x80422,x80423,x80424,f118(x80422))+~E(x80424,f118(x80421))
% 149.08/148.75 [8043]P34(x80431,x80432,x80433,f118(x80431),x80434)+~E(x80434,f118(x80432))
% 149.08/148.75 [8257]~P21(x82571,f876(x82572),x82574,f180(x82571,x82572,x82574))+P21(x82571,f876(x82572),f181(x82571,x82572,x82573,x82574),f180(x82571,x82572,x82574))
% 149.08/148.75 [8473]~P21(x84731,f876(x84732),f181(x84731,x84732,x84734,x84733),f180(x84731,x84732,x84733))+P21(x84731,f876(x84732),x84733,f180(x84731,x84732,x84733))
% 149.08/148.75 [8589]~P34(x85892,x85893,x85894,x85891,f118(x85893))+E(x85891,f118(x85892))
% 149.08/148.75 [8590]~P34(x85903,x85902,x85904,f118(x85903),x85901)+E(x85901,f118(x85902))
% 149.08/148.75 [5039]~P13(x50393,x50391,x50394)+E(f326(f326(x50391,x50392),x50392),x50392)
% 149.08/148.75 [5331]~E(x53314,f190(f880(x53311,a866)))+E(f326(f305(x53311,x53312,x53313),x53314),f190(f880(x53312,a866)))
% 149.08/148.75 [5599]~E(f326(f305(x55992,x55993,x55994),x55991),f190(f880(x55993,a866)))+E(x55991,f190(f880(x55992,a866)))
% 149.08/148.75 [5882]~P105(x58822)+E(f326(f326(f144(x58821,x58822,x58823),x58824),f118(x58821)),f326(f326(f147(x58821),x58824),f118(x58821)))
% 149.08/148.75 [5920]E(f326(x59201,x59202),f193(x59203))+P103(f326(f326(f328(x59204),x59202),f180(x59204,x59203,x59201)))
% 149.08/148.75 [6243]~E(x62431,f190(f880(x62432,a866)))+~P103(f326(f63(x62432,x62433,x62431),x62434))
% 149.08/148.75 [6265]~P54(x62651,x62653,x62654,x62652)+P103(f326(f62(x62651),x62652))
% 149.08/148.75 [6266]~P54(x62661,x62663,x62662,x62664)+P103(f326(f62(x62661),x62662))
% 149.08/148.75 [6272]~P54(x62722,x62723,x62724,x62721)+~E(x62721,f190(f880(x62722,a866)))
% 149.08/148.75 [6303]~P107(x63031)+E(f326(f326(f106(f880(x63031,a866)),f326(f296(x63031,x63032),x63033)),f297(x63031,x63033,x63034)),f190(f880(x63031,a866)))
% 149.08/148.75 [6330]~P103(f326(f326(x63303,x63304),x63302))+P103(f326(f326(f328(x63301),x63302),f287(x63301,x63303,x63304)))
% 149.08/148.75 [6331]~P103(f326(f326(x63313,x63314),x63312))+P103(f326(f326(f328(x63311),x63312),f288(x63311,x63313,x63314)))
% 149.08/148.75 [6332]~P103(f326(f326(x63323,x63322),x63324))+P103(f326(f326(f328(x63321),x63322),f289(x63321,x63323,x63324)))
% 149.08/148.75 [6333]~P103(f326(f326(x63333,x63332),x63334))+P103(f326(f326(f328(x63331),x63332),f292(x63331,x63333,x63334)))
% 149.08/148.75 [6473]~P107(x64731)+E(f326(f326(f106(f880(x64731,a866)),f297(x64731,x64732,x64733)),f300(x64731,x64733,x64734)),f190(f880(x64731,a866)))
% 149.08/148.75 [6474]~P107(x64741)+E(f326(f326(f106(f880(x64741,a866)),f297(x64741,x64742,x64743)),f299(x64741,x64743,x64744)),f190(f880(x64741,a866)))
% 149.08/148.75 [6475]~P107(x64751)+E(f326(f326(f106(f880(x64751,a866)),f300(x64751,x64752,x64753)),f297(x64751,x64753,x64754)),f190(f880(x64751,a866)))
% 149.08/148.75 [6476]~P107(x64761)+E(f326(f326(f106(f880(x64761,a866)),f299(x64761,x64762,x64763)),f300(x64761,x64763,x64764)),f190(f880(x64761,a866)))
% 149.08/148.75 [6477]~P107(x64771)+E(f326(f326(f106(f880(x64771,a866)),f299(x64771,x64772,x64773)),f299(x64771,x64773,x64774)),f190(f880(x64771,a866)))
% 149.08/148.75 [6514]P103(f326(f326(x65141,x65142),f573(x65142,x65141)))+~P103(f326(f255(x65143,x65144,x65141),x65142))
% 149.08/148.75 [6563]~E(f326(x65631,x65632),f193(x65633))+~P103(f326(f326(f328(x65634),x65632),f180(x65634,x65633,x65631)))
% 149.08/148.75 [6592]~P105(x65922)+E(f326(f168(x65921),f146(x65921,x65922,x65923,x65924)),f326(f168(x65921),x65924))
% 149.08/148.75 [6644]~P142(x66441)+E(f192(x66441,x66442,f326(a117,x66443),x66444),f192(x66441,x66442,x66443,f326(x66442,x66444)))
% 149.08/148.75 [6704]~P103(f326(f326(f328(x67044),x67043),f287(x67044,x67041,x67042)))+P103(f326(f326(x67041,x67042),x67043))
% 149.08/148.75 [6705]~P103(f326(f326(f328(x67054),x67053),f288(x67054,x67051,x67052)))+P103(f326(f326(x67051,x67052),x67053))
% 149.08/148.75 [6706]~P103(f326(f326(f328(x67064),x67062),f289(x67064,x67061,x67063)))+P103(f326(f326(x67061,x67062),x67063))
% 149.08/148.75 [6707]~P103(f326(f326(f328(x67074),x67072),f292(x67074,x67071,x67073)))+P103(f326(f326(x67071,x67072),x67073))
% 149.08/148.75 [6784]E(f326(f38(f878(x67841,x67842)),f313(x67841,x67842,x67843,x67844)),f2(a872))+P103(f326(f62(x67842),x67844))
% 149.08/148.75 [6785]E(f326(f38(f878(x67851,x67852)),f313(x67851,x67852,x67853,x67854)),f2(a872))+P103(f326(f62(x67851),x67853))
% 149.08/148.75 [6987]~P11(x69874,x69871,x69872)+E(f326(f74(x69871,x69871,x69871,f326(x69872,x69873)),f326(x69872,x69873)),f326(x69872,x69873))
% 149.08/148.75 [7784]~P103(f326(x77841,x77844))+P103(f326(x77841,f97(x77842,a872,x77843,x77841)))
% 149.08/148.75 [7867]~E(x78672,x78673)+P103(f326(f326(f328(f879(x78671,x78671)),f326(f326(f261(x78671,x78671),x78672),x78673)),f302(x78671,x78674)))
% 149.08/148.75 [7896]~P21(x78961,x78962,x78963,f249(f880(x78961,a866)))+E(f326(f78(x78961,x78962,f249(f880(x78961,a866)),x78963),f326(x78963,x78964)),x78964)
% 149.08/148.75 [7988]~P103(f326(f326(f328(f873(x79881)),f326(f326(f147(x79881),x79884),x79882)),f157(x79881,x79883)))+P103(f326(f326(f328(f873(x79881)),x79882),f157(x79881,x79883)))
% 149.08/148.75 [7989]~P103(f326(f326(f328(f873(x79891)),f326(f326(f126(x79891),x79894),x79892)),f157(x79891,x79893)))+P103(f326(f326(f328(f873(x79891)),x79892),f157(x79891,x79893)))
% 149.08/148.75 [7990]~P103(f326(f326(f328(f873(x79901)),f326(f326(f126(x79901),x79902),x79904)),f157(x79901,x79903)))+P103(f326(f326(f328(f873(x79901)),x79902),f157(x79901,x79903)))
% 149.08/148.75 [8006]~P105(x80061)+P28(x80061,f326(f326(f150(x80062,x80061),x80063),f146(x80062,x80061,x80063,x80064)))
% 149.08/148.75 [8104]P21(x81044,x81043,x81041,x81042)+E(f326(x81041,f551(x81042,x81041,x81043,x81044)),f326(x81041,f552(x81042,x81041,x81043,x81044)))
% 149.08/148.75 [8117]E(f181(x81171,x81172,x81173,x81174),f181(x81171,x81172,x81174,x81173))+~E(f326(f326(f106(f880(x81171,a866)),f180(x81171,x81172,x81173)),f180(x81171,x81172,x81174)),f190(f880(x81171,a866)))
% 149.08/148.75 [8220]~P21(x82202,x82201,x82204,x82203)+P21(x82201,x82202,f78(x82202,x82201,x82203,x82204),f326(f305(x82202,x82201,x82204),x82203))
% 149.08/148.75 [8357]P37(f879(x83572,x83574),f278(x83572,x83574,x83571,x83573))+P103(f326(x83571,f564(x83572,x83573,x83574,x83571)))
% 149.08/148.75 [8480]E(x84801,x84802)+~P103(f326(f326(f328(f879(x84803,x84803)),f326(f326(f261(x84803,x84803),x84801),x84802)),f258(x84803,x84804)))
% 149.08/148.75 [8544]~P103(f326(f62(f878(x85443,x85441)),f313(x85443,x85441,x85444,x85442)))+P103(f326(f62(x85441),x85442))
% 149.08/148.75 [8545]~P103(f326(f62(f878(x85451,x85453)),f313(x85451,x85453,x85452,x85454)))+P103(f326(f62(x85451),x85452))
% 149.08/148.75 [8722]P37(f879(x87221,x87222),f278(x87221,x87222,x87223,x87224))+~P37(x87222,f326(x87224,f564(x87221,x87224,x87222,x87223)))
% 149.08/148.75 [9283]E(f326(f326(f155(x92831,x92832),f702(x92833,x92834,x92832,x92831)),f703(x92833,x92834,x92832,x92831)),x92834)+~P103(f326(f326(f328(f879(f873(x92831),f873(x92831))),f326(f326(f261(f873(x92831),f873(x92831)),x92832),x92834)),f153(x92831,x92833)))
% 149.08/148.75 [9284]~P103(f326(x92843,x92844))+P103(f326(f326(f240(a872),f326(x92841,f97(x92842,a872,x92841,x92843))),f326(x92841,x92844)))
% 149.08/148.75 [9290]~P103(f326(f326(f328(f879(f873(x92901),f873(x92901))),f326(f326(f261(f873(x92901),f873(x92901)),x92902),x92903)),f141(x92901,x92904)))+P103(f326(f326(f328(f879(f873(x92901),f873(x92901))),f326(f326(f261(f873(x92901),f873(x92901)),x92902),x92903)),f143(x92901,x92904)))
% 149.08/148.75 [9396]P103(f326(f62(x93961),x93962))+~P103(f326(f326(f328(f879(f880(x93961,a866),f880(x93961,a866))),f326(f326(f261(f880(x93961,a866),f880(x93961,a866)),x93963),x93962)),f317(x93961,x93964)))
% 149.08/148.75 [9397]P103(f326(f62(x93971),x93972))+~P103(f326(f326(f328(f879(f880(x93971,a866),f880(x93971,a866))),f326(f326(f261(f880(x93971,a866),f880(x93971,a866)),x93972),x93973)),f317(x93971,x93974)))
% 149.08/148.75 [9400]~E(x94001,f190(f880(x94002,a866)))+~P103(f326(f326(f328(f879(f880(x94002,a866),f880(x94002,a866))),f326(f326(f261(f880(x94002,a866),f880(x94002,a866)),x94003),x94001)),f317(x94002,x94004)))
% 149.08/148.75 [10034]P9(x100341,x100342,x100343,x100344)+~P103(f326(f326(f265(x100341,x100341,a866),f326(f326(f7(x100341,f880(x100341,x100342),f880(x100341,a866)),f326(f326(f8(f880(x100342,a866),f880(f880(x100341,x100342),f880(x100341,a866)),x100341),f8(x100342,a866,x100341)),f326(f326(f8(x100342,f880(x100342,a866),x100341),a323),x100344))),x100344)),f599(x100344,x100343,x100342,x100341)))
% 149.08/148.75 [4940]~E(x49404,f193(x49401))+E(f326(f326(f204(x49401,x49402),x49403),x49404),f193(x49402))
% 149.08/148.75 [4941]~E(x49414,f118(x49411))+E(f326(f326(f150(x49411,x49412),x49413),x49414),f118(x49412))
% 149.08/148.75 [4942]~E(x49422,f118(x49421))+E(f326(f326(f155(x49421,x49422),x49423),x49424),f118(x49421))
% 149.08/148.75 [5178]E(x51781,f193(x51782))+~E(f326(f326(f204(x51782,x51783),x51784),x51781),f193(x51783))
% 149.08/148.75 [5179]E(x51791,f118(x51792))+~E(f326(f326(f150(x51792,x51793),x51794),x51791),f118(x51793))
% 149.08/148.75 [5180]E(x51801,f118(x51802))+~E(f326(f326(f155(x51802,x51801),x51803),x51804),f118(x51802))
% 149.08/148.75 [5212]E(x52121,x52122)+~E(f326(f326(f126(x52123),x52124),x52121),f326(f326(f126(x52123),x52124),x52122))
% 149.08/148.75 [5213]E(x52131,x52132)+~E(f326(f326(f126(x52133),x52131),x52134),f326(f326(f126(x52133),x52132),x52134))
% 149.08/148.75 [5369]P103(f326(x53693,x53692))+E(f166(x53691,x53692,f326(f132(x53691,x53693),x53694)),f326(f132(x53691,x53693),x53694))
% 149.08/148.75 [5372]~P103(f326(x53722,x53723))+P33(x53721,x53722,f326(f326(f147(x53721),x53723),x53724))
% 149.08/148.75 [5381]E(x53811,x53812)+~E(f135(a872,f326(f296(a872,x53811),x53813)),f326(f326(f147(a872),x53812),x53814))
% 149.08/148.75 [5429]~P22(x54292,x54293)+P22(x54291,f326(f326(f75(x54292,x54291),x54293),x54294))
% 149.08/148.75 [5430]~P37(x54302,x54303)+P37(x54301,f326(f326(f282(x54302,x54301),x54303),x54304))
% 149.08/148.75 [5555]~P33(x55551,x55552,x55554)+P33(x55551,x55552,f326(f326(f147(x55551),x55553),x55554))
% 149.08/148.75 [5556]~P33(x55561,x55562,x55564)+P33(x55561,x55562,f326(f326(f126(x55561),x55563),x55564))
% 149.08/148.75 [5557]~P33(x55571,x55572,x55573)+P33(x55571,x55572,f326(f326(f126(x55571),x55573),x55574))
% 149.08/148.75 [5642]~E(x56421,f118(x56422))+~E(f326(f326(f126(x56422),x56423),f326(f326(f147(x56422),x56424),f118(x56422))),x56421)
% 149.08/148.75 [5667]~P31(x56673,x56671,f326(f326(f147(x56673),x56672),x56674))+P103(f326(x56671,x56672))
% 149.08/148.75 [5677]E(f140(x56771,x56772),x56773)+~E(f326(f326(f126(x56771),x56774),f326(f326(f147(x56771),x56773),f118(x56771))),x56772)
% 149.08/148.75 [5678]E(f119(x56781,x56782),x56783)+~E(f326(f326(f126(x56781),x56783),f326(f326(f147(x56781),x56784),f118(x56781))),x56782)
% 149.08/148.75 [5787]~E(f135(a872,f326(f296(a872,x57871),x57872)),f326(f326(f147(a872),x57873),x57874))+P103(f326(f326(f241(a872),x57871),x57872))
% 149.08/148.75 [5795]P31(x57951,x57952,x57953)+~P31(x57951,x57952,f326(f326(f147(x57951),x57954),x57953))
% 149.08/148.75 [5796]P31(x57961,x57962,x57963)+~P31(x57961,x57962,f326(f326(f126(x57961),x57964),x57963))
% 149.08/148.75 [5797]P31(x57971,x57972,x57973)+~P31(x57971,x57972,f326(f326(f126(x57971),x57973),x57974))
% 149.08/148.75 [5988]E(x59881,f326(f326(f126(x59882),f326(f165(x59882),x59883)),f326(f326(f147(x59882),x59884),f118(x59882))))+~E(f326(f165(x59882),x59881),f326(f326(f147(x59882),x59884),x59883))
% 149.08/148.75 [6165]~P107(x61651)+E(f326(f326(f106(f880(x61651,a866)),f326(f296(x61651,x61652),x61653)),f326(f296(x61651,x61653),x61654)),f190(f880(x61651,a866)))
% 149.08/148.75 [6201]~P72(x62011)+E(f326(f162(x62011),f326(f326(f150(a1,x62011),x62012),f175(x62013,x62014))),f326(f326(f6(a1,x62011),x62012),f326(f168(a1),f175(x62013,x62014))))
% 149.08/148.75 [6202]~P72(x62021)+E(f326(f326(f6(a1,x62021),x62022),f326(f168(a1),f175(x62023,x62024))),f326(f162(x62021),f326(f326(f150(a1,x62021),x62022),f175(x62023,x62024))))
% 149.08/148.75 [6345]~E(x63452,f326(f326(f126(x63451),f326(f165(x63451),x63454)),f326(f326(f147(x63451),x63453),f118(x63451))))+E(f326(f165(x63451),x63452),f326(f326(f147(x63451),x63453),x63454))
% 149.08/148.75 [6360]~P15(x63602,x63603,x63604,x63601)+E(f326(x63601,f190(f880(x63602,a866))),f35(x63603))
% 149.08/148.75 [6386]~P107(x63861)+E(f326(f326(f106(f880(x63861,a866)),f300(x63861,x63862,x63863)),f326(f296(x63861,x63863),x63864)),f190(f880(x63861,a866)))
% 149.08/148.75 [6593]E(x65931,f190(f880(x65932,a866)))+~E(f313(x65933,x65932,x65934,x65931),f190(f880(f878(x65933,x65932),a866)))
% 149.08/148.75 [6594]E(x65941,f190(f880(x65942,a866)))+~E(f313(x65942,x65943,x65941,x65944),f190(f880(f878(x65942,x65943),a866)))
% 149.08/148.75 [6663]~P105(x66632)+E(f326(f191(f873(x66631)),f146(x66631,x66632,x66633,x66634)),f326(f191(f873(x66631)),x66634))
% 149.08/148.75 [6675]~P103(f326(f256(x66753,x66754,x66751),x66752))+P103(f326(f326(x66751,f574(x66752,x66751)),x66752))
% 149.08/148.75 [6715]~P103(f326(f62(x67152),x67154))+P103(f326(f62(x67151),f326(f305(x67152,x67151,x67153),x67154)))
% 149.08/148.75 [6947]~P21(x69472,x69471,x69473,x69474)+E(f326(f38(x69471),f326(f305(x69472,x69471,x69473),x69474)),f326(f38(x69472),x69474))
% 149.08/148.75 [6966]E(f326(f305(x69661,x69662,x69663),f326(f306(x69661,x69662,x69663),x69664)),x69664)+~E(f326(f305(x69661,x69662,x69663),f249(f880(x69661,a866))),f249(f880(x69662,a866)))
% 149.08/148.75 [7376]~P21(x73761,x73762,x73763,f249(f880(x73761,a866)))+E(f326(f306(x73761,x73762,x73763),f326(f305(x73761,x73762,x73763),x73764)),x73764)
% 149.08/148.75 [7708]P103(f326(x77081,x77082))+~P103(f326(f326(f328(x77083),x77082),f326(f168(x77083),f173(x77083,x77081,x77084))))
% 149.08/148.75 [7814]~P103(f326(f326(f328(f873(x78141)),f326(f326(f147(x78141),x78142),x78144)),f157(x78141,x78143)))+P103(f326(f326(f328(x78141),x78142),x78143))
% 149.08/148.75 [7942]~P103(f326(f326(f328(x79421),x79422),f326(f168(x79421),f166(x79421,x79424,x79423))))+P103(f326(f326(f328(x79421),x79422),f326(f168(x79421),x79423)))
% 149.08/148.75 [7944]~P103(f326(f326(f328(x79441),x79442),f326(f168(x79441),f172(x79441,x79443,x79444))))+P103(f326(f326(f328(x79441),x79442),f326(f168(x79441),x79443)))
% 149.08/148.75 [7945]~P103(f326(f326(f328(x79451),x79452),f326(f168(x79451),f173(x79451,x79454,x79453))))+P103(f326(f326(f328(x79451),x79452),f326(f168(x79451),x79453)))
% 149.08/148.75 [7955]E(f326(f191(f873(x79551)),x79552),x79553)+~P103(f326(f326(f328(f873(x79551)),x79552),f326(f168(f873(x79551)),f55(x79551,x79553,x79554))))
% 149.08/148.75 [8054]P103(f326(x80543,x80542))+E(f326(f132(x80541,f326(f326(f8(a866,a866,x80541),a321),f326(a323,x80542))),f326(f132(x80541,x80543),x80544)),f326(f132(x80541,x80543),x80544))
% 149.08/148.75 [8169]E(f326(f326(f161(x81691),f173(x81691,x81692,x81693)),x81694),f326(f326(f161(x81691),x81693),x81694))+~P103(f326(f326(f241(a872),x81694),f326(f191(f873(x81691)),f173(x81691,x81692,x81693))))
% 149.08/148.75 [8255]~P72(x82551)+E(f326(f326(f6(a872,x82551),f326(f326(f8(a872,x82551,a872),x82552),a117)),f326(f296(a872,x82553),x82554)),f326(f326(f6(a872,x82551),x82552),f326(f296(a872,f326(a117,x82553)),f326(a117,x82554))))
% 149.08/148.75 [8264]~P72(x82641)+E(f326(f326(f6(a872,x82641),f326(f326(f8(a872,x82641,a872),x82642),a117)),f297(a872,x82643,x82644)),f326(f326(f6(a872,x82641),x82642),f297(a872,f326(a117,x82643),f326(a117,x82644))))
% 149.08/148.75 [8394]~P21(x83941,x83943,x83944,f249(f880(x83941,a866)))+P21(x83941,f880(x83942,x83943),f326(f326(f8(x83943,f880(x83942,x83943),x83941),f16(x83943,x83942)),x83944),f249(f880(x83941,a866)))
% 149.08/148.75 [8488]~P21(x84882,x84881,x84884,x84883)+E(f326(f305(x84881,x84882,f78(x84882,x84881,x84883,x84884)),f326(f305(x84882,x84881,x84884),x84883)),x84883)
% 149.08/148.75 [8546]~P103(f326(f326(f328(f879(x85461,x85461)),f326(f326(f261(x85461,x85461),x85462),x85464)),f258(x85461,x85463)))+P103(f326(f326(f328(x85461),x85462),x85463))
% 149.08/148.75 [8635]E(f326(f326(f326(f73(x86351,f876(x86352)),f326(f16(f876(x86352),x86351),f193(x86352))),x86353),f326(f233(x86352),f829(x86353,x86354,x86352,x86351))),x86354)+~E(f180(x86351,x86352,x86354),f326(f326(f304(x86351),x86353),f190(f880(x86351,a866))))
% 149.08/148.75 [8758]~E(f326(f326(f6(x87581,a872),x87584),x87583),f326(a117,x87582))+P103(f326(f326(f328(x87581),f454(x87582,x87583,x87584,x87581)),x87583))
% 149.08/148.75 [8778]~E(f326(f326(f6(x87784,a872),x87781),x87783),f326(a117,x87782))+P103(f326(f326(f241(a872),f2(a872)),f326(x87781,f454(x87782,x87783,x87781,x87784))))
% 149.08/148.75 [8789]~P103(f326(f62(x87892),x87894))+P103(f326(f326(f240(a872),f326(f38(x87891),f326(f305(x87892,x87891,x87893),x87894))),f326(f38(x87892),x87894)))
% 149.08/148.75 [8790]E(f326(f326(f261(x87901,x87902),f668(x87903,x87904,x87902,x87901)),f669(x87903,x87904,x87902,x87901)),x87904)+~P103(f326(f326(f328(f879(x87901,x87902)),x87904),f326(f281(x87902,x87901),x87903)))
% 149.08/148.75 [8799]P21(x87991,x87992,x87993,x87994)+P103(f326(f326(f328(x87991),f551(x87994,x87993,x87992,x87991)),x87994))
% 149.08/148.75 [8800]P21(x88001,x88002,x88003,x88004)+P103(f326(f326(f328(x88001),f552(x88004,x88003,x88002,x88001)),x88004))
% 149.08/148.75 [8861]P9(x88611,x88612,x88613,x88614)+P103(f326(f326(f328(f879(x88611,x88611)),f599(x88614,x88613,x88612,x88611)),x88613))
% 149.08/148.75 [8923]P103(f326(x89231,x89232))+~P103(f326(x89231,f326(f326(f261(x89233,x89234),f516(x89234,x89233,x89231)),f517(x89234,x89233,x89231))))
% 149.08/148.75 [8940]E(f326(f191(f873(x89401)),x89402),f326(f191(f873(x89401)),x89403))+~P103(f326(f326(f328(f879(f873(x89401),f873(x89401))),f326(f326(f261(f873(x89401),f873(x89401)),x89402),x89403)),f141(x89401,x89404)))
% 149.08/148.75 [8943]E(f326(f191(f873(x89431)),x89432),f326(f191(f873(x89431)),x89433))+~P103(f326(f326(f328(f879(f873(x89431),f873(x89431))),f326(f326(f261(f873(x89431),f873(x89431)),x89432),x89433)),f154(x89431,x89434)))
% 149.08/148.75 [8944]E(f326(f191(f873(x89441)),x89442),f326(f191(f873(x89441)),x89443))+~P103(f326(f326(f328(f879(f873(x89441),f873(x89441))),f326(f326(f261(f873(x89441),f873(x89441)),x89442),x89443)),f153(x89441,x89444)))
% 149.08/148.75 [9018]P103(f326(f326(f240(a872),f151(x90181,x90182,x90183)),f151(x90181,x90184,x90183)))+P103(f326(f326(f328(x90181),f723(x90184,x90182,x90183,x90181)),f326(f168(x90181),x90183)))
% 149.08/148.75 [9021]E(f326(f191(f873(x90211)),x90212),f326(f191(f873(x90211)),x90213))+~P103(f326(f326(f328(f879(f873(x90211),f873(x90211))),f326(f326(f261(f873(x90211),f873(x90211)),x90212),x90213)),f302(f873(x90211),f153(x90211,x90214))))
% 149.08/148.75 [9255]~P21(x92551,x92552,x92553,x92554)+~P103(f326(f326(f241(a872),f326(f38(x92552),f326(f305(x92551,x92552,x92553),x92554))),f326(f38(x92551),x92554)))
% 149.08/148.75 [9301]~P103(f326(f326(f328(f879(f873(x93011),f873(x93011))),f326(f326(f261(f873(x93011),f873(x93011)),x93012),x93013)),f153(x93011,x93014)))+P103(f326(f326(f328(f879(f873(x93011),f873(x93011))),f326(f326(f261(f873(x93011),f873(x93011)),x93012),x93013)),f154(x93011,f302(x93011,x93014))))
% 149.08/148.75 [9305]~P103(f326(f326(f328(f879(f873(x93051),f873(x93051))),f326(f326(f261(f873(x93051),f873(x93051)),x93052),x93053)),f154(x93051,x93054)))+P103(f326(f326(f328(f879(f873(x93051),f873(x93051))),f326(f326(f261(f873(x93051),f873(x93051)),x93052),x93053)),f302(f873(x93051),f153(x93051,x93054))))
% 149.08/148.75 [9322]P103(f326(f326(f328(f879(x93221,x93221)),f326(f326(f261(x93221,x93221),x93222),x93223)),f302(x93221,x93224)))+~P103(f326(f326(f328(f879(x93221,x93221)),f326(f326(f261(x93221,x93221),x93222),x93223)),f326(f326(f283(x93221,x93221,x93221),x93224),f302(x93221,x93224))))
% 149.08/148.75 [9504]E(f326(f326(f126(x95041),f707(x95042,x95043,x95044,x95041)),f326(f326(f147(x95041),f708(x95042,x95043,x95044,x95041)),f710(x95042,x95043,x95044,x95041))),x95044)+~P103(f326(f326(f328(f879(f873(x95041),f873(x95041))),f326(f326(f261(f873(x95041),f873(x95041)),x95044),x95043)),f153(x95041,x95042)))
% 149.08/148.75 [9505]E(f326(f326(f126(x95051),f707(x95052,x95053,x95054,x95051)),f326(f326(f147(x95051),f709(x95052,x95053,x95054,x95051)),f710(x95052,x95053,x95054,x95051))),x95053)+~P103(f326(f326(f328(f879(f873(x95051),f873(x95051))),f326(f326(f261(f873(x95051),f873(x95051)),x95054),x95053)),f153(x95051,x95052)))
% 149.08/148.75 [9581]P103(f326(f326(f328(f879(x95811,x95811)),f326(f326(f261(x95811,x95811),x95812),f656(x95813,x95814,x95812,x95811))),f302(x95811,x95813)))+~P103(f326(f326(f328(f879(x95811,x95811)),f326(f326(f261(x95811,x95811),x95812),x95814)),f326(f326(f283(x95811,x95811,x95811),x95813),f302(x95811,x95813))))
% 149.08/148.75 [9650]P103(f326(f326(f240(a872),f151(x96501,x96502,x96503)),f151(x96501,x96504,x96503)))+~P103(f326(f326(f241(a872),f326(x96502,f723(x96504,x96502,x96503,x96501))),f326(x96504,f723(x96504,x96502,x96503,x96501))))
% 149.08/148.75 [9717]P103(f326(f326(f328(f879(x97171,x97171)),f326(f326(f261(x97171,x97171),f655(x97172,x97173,x97174,x97171)),x97173)),f302(x97171,x97172)))+~P103(f326(f326(f328(f879(x97171,x97171)),f326(f326(f261(x97171,x97171),x97174),x97173)),f326(f326(f283(x97171,x97171,x97171),x97172),f302(x97171,x97172))))
% 149.08/148.75 [5194]~E(x51942,x51943)+E(f166(x51941,x51942,f326(f326(f147(x51941),x51943),x51944)),x51944)
% 149.08/148.75 [5323]P103(f326(x53232,x53233))+E(f173(x53231,x53232,f326(f326(f147(x53231),x53233),x53234)),f118(x53231))
% 149.08/148.75 [5393]~P87(x53932)+E(f326(f326(f80(f880(x53931,x53932)),x53933),x53934),f326(f80(x53932),f326(x53933,x53934)))
% 149.08/148.75 [5405]~E(x54052,f2(a872))+E(f326(f326(f134(x54051),x54052),f326(f326(f147(x54051),x54053),x54054)),f326(f326(f147(x54051),x54053),x54054))
% 149.08/148.75 [5406]P103(f326(x54062,x54063))+E(f326(f132(x54061,x54062),f326(f326(f147(x54061),x54063),x54064)),f326(f132(x54061,x54062),x54064))
% 149.08/148.75 [5538]~E(x55382,x55384)+P103(f326(f326(f326(f304(x55381),x55382),x55383),x55384))
% 149.08/148.75 [5546]E(x55461,f118(x55462))+E(f140(x55463,f326(f326(f150(x55462,x55463),x55464),x55461)),f326(x55464,f140(x55462,x55461)))
% 149.08/148.75 [5560]~E(x55601,f64(x55602,x55604))+E(f326(x55601,f326(f326(f304(x55602),x55603),f190(f880(x55602,a866)))),x55603)
% 149.08/148.75 [5594]E(x55941,f118(x55942))+E(f326(f137(x55943),f326(f326(f150(x55942,x55943),x55944),x55941)),f326(x55944,f326(f137(x55942),x55941)))
% 149.08/148.75 [5696]~P103(f326(x56963,x56964))+P103(f326(f326(f326(f304(x56961),x56962),x56963),x56964))
% 149.08/148.75 [5812]~P14(x58122,x58124,x58121)+E(f326(x58121,f326(f326(f304(x58122),x58123),f190(f880(x58122,a866)))),x58123)
% 149.08/148.75 [5836]~E(x58362,x58363)+P103(f326(f326(f328(x58361),x58362),f326(f326(f304(x58361),x58363),x58364)))
% 149.08/148.75 [5841]~P63(x58411)+E(f326(f326(f115(x58411),x58412),f326(f326(f115(x58411),x58413),x58414)),f326(f326(f115(x58411),x58413),f326(f326(f115(x58411),x58412),x58414)))
% 149.08/148.75 [5842]~P76(x58421)+E(f326(f326(f115(x58421),x58422),f326(f326(f115(x58421),x58423),x58424)),f326(f326(f115(x58421),x58423),f326(f326(f115(x58421),x58422),x58424)))
% 149.08/148.75 [5843]~P114(x58431)+E(f326(f326(f81(x58431),x58432),f326(f326(f81(x58431),x58433),x58434)),f326(f326(f81(x58431),x58433),f326(f326(f81(x58431),x58432),x58434)))
% 149.08/148.75 [5844]~P76(x58441)+E(f326(f326(f106(x58441),x58442),f326(f326(f106(x58441),x58443),x58444)),f326(f326(f106(x58441),x58443),f326(f326(f106(x58441),x58442),x58444)))
% 149.08/148.75 [5846]~P100(x58461)+E(f326(f326(f106(x58461),x58462),f326(f326(f106(x58461),x58463),x58464)),f326(f326(f106(x58461),x58463),f326(f326(f106(x58461),x58462),x58464)))
% 149.08/148.75 [5847]~P114(x58471)+E(f326(f326(f82(x58471),x58472),f326(f326(f82(x58471),x58473),x58474)),f326(f326(f82(x58471),x58473),f326(f326(f82(x58471),x58472),x58474)))
% 149.08/148.75 [5849]~P105(x58491)+E(f326(f326(f238(x58491),x58492),f326(f326(f238(x58491),x58493),x58494)),f326(f326(f238(x58491),x58493),f326(f326(f238(x58491),x58492),x58494)))
% 149.08/148.75 [5851]~P105(x58511)+E(f326(f326(f239(x58511),x58512),f326(f326(f239(x58511),x58513),x58514)),f326(f326(f239(x58511),x58513),f326(f326(f239(x58511),x58512),x58514)))
% 149.08/148.75 [5856]E(x58561,x58562)+E(f166(x58563,x58561,f326(f326(f147(x58563),x58562),x58564)),f326(f326(f147(x58563),x58562),f166(x58563,x58561,x58564)))
% 149.08/148.75 [5869]~P103(f326(x58692,x58693))+E(f326(f132(x58691,x58692),f326(f326(f147(x58691),x58693),x58694)),f326(f326(f147(x58691),x58693),f326(f132(x58691,x58692),x58694)))
% 149.08/148.75 [6008]~P103(f326(x60082,x60083))+E(f173(x60081,x60082,f326(f326(f147(x60081),x60083),x60084)),f326(f326(f147(x60081),x60083),f173(x60081,x60082,x60084)))
% 149.08/148.75 [6059]P20(x60591,x60592,x60593)+~P20(x60591,x60592,f326(f326(f304(f871(x60591)),x60594),x60593))
% 149.08/148.75 [6072]E(x60721,f190(f880(x60722,a866)))+E(f326(f326(f42(x60722,f880(x60723,a866)),x60721),f326(f16(f880(x60723,a866),x60722),x60724)),x60724)
% 149.08/148.75 [6073]E(x60731,f190(f880(x60732,a866)))+E(f326(f326(f43(x60732,f880(x60733,a866)),x60731),f326(f16(f880(x60733,a866),x60732),x60734)),x60734)
% 149.08/148.75 [6082]~E(x60824,f190(f880(x60822,a866)))+E(f326(f326(f263(x60821,x60822),x60823),f326(f16(f880(x60822,a866),x60821),x60824)),f190(f880(f879(x60821,x60822),a866)))
% 149.08/148.75 [6083]~E(x60833,f190(f880(x60831,a866)))+E(f326(f326(f263(x60831,x60832),x60833),f326(f16(f880(x60832,a866),x60831),x60834)),f190(f880(f879(x60831,x60832),a866)))
% 149.08/148.75 [6129]E(x61291,f2(a872))+E(f326(f326(f134(x61292),x61291),f326(f326(f147(x61292),x61293),x61294)),f326(f326(f134(x61292),f326(f326(f22(a872),x61291),f79(a872))),x61294))
% 149.08/148.75 [6159]E(x61591,f190(f880(x61592,a866)))+E(f326(f305(x61592,x61593,f326(f16(x61593,x61592),x61594)),x61591),f326(f326(f304(x61593),x61594),f190(f880(x61593,a866))))
% 149.08/148.75 [6162]E(f326(f306(x61621,x61622,f326(f16(x61622,x61621),x61623)),x61624),f190(f880(x61621,a866)))+P103(f326(f326(f328(x61622),x61623),x61624))
% 149.08/148.75 [6227]~E(x62273,f190(f880(x62271,a866)))+E(f326(f326(f42(x62271,f880(x62272,a866)),x62273),f326(f16(f880(x62272,a866),x62271),x62274)),f190(f880(x62272,a866)))
% 149.08/148.75 [6228]~E(x62283,f190(f880(x62281,a866)))+E(f326(f326(f43(x62281,f880(x62282,a866)),x62283),f326(f16(f880(x62282,a866),x62281),x62284)),f249(f880(x62282,a866)))
% 149.08/148.75 [6230]~P56(x62301)+E(f45(x62301,f326(f326(f82(x62301),x62302),x62303),f326(f326(f82(x62301),x62302),x62304)),f326(f326(f82(x62301),x62302),f45(x62301,x62303,x62304)))
% 149.08/148.75 [6396]E(f326(f306(x63961,x63962,f326(f16(x63962,x63961),x63963)),x63964),f249(f880(x63961,a866)))+~P103(f326(f326(f328(x63962),x63963),x63964))
% 149.08/148.75 [6419]~P103(f326(f326(f328(x64191),x64192),x64194))+P103(f326(f326(f328(x64191),x64192),f326(f326(f304(x64191),x64193),x64194)))
% 149.08/148.75 [6424]P103(f326(x64241,x64242))+~P103(f326(f156(x64243,x64241),f326(f326(f147(x64243),x64242),x64244)))
% 149.08/148.75 [6433]~E(x64333,f326(f326(f22(a872),f326(f191(f873(x64331)),x64332)),f79(a872)))+E(f119(x64331,f326(f326(f155(x64331,x64332),x64333),x64334)),f119(x64331,x64332))
% 149.08/148.75 [6452]~P105(x64521)+E(f326(f326(f106(f880(x64521,a866)),f326(f295(x64521),x64522)),f297(x64521,x64523,x64524)),f297(x64521,x64523,f326(f326(f238(x64521),x64522),x64524)))
% 149.08/148.75 [6453]~P105(x64531)+E(f326(f326(f106(f880(x64531,a866)),f326(f248(x64531),x64532)),f297(x64531,x64533,x64534)),f297(x64531,f326(f326(f239(x64531),x64532),x64533),x64534))
% 149.08/148.75 [6468]E(f326(f326(f106(f880(x64681,a866)),x64682),f326(f326(f304(x64681),x64683),x64684)),f326(f326(f106(f880(x64681,a866)),x64682),x64684))+P103(f326(f326(f328(x64681),x64683),x64682))
% 149.08/148.75 [6480]E(f166(x64801,x64802,f326(f326(f126(x64801),x64803),x64804)),f326(f326(f126(x64801),x64803),f166(x64801,x64802,x64804)))+P103(f326(f326(f328(x64801),x64802),f326(f168(x64801),x64803)))
% 149.08/148.75 [6484]~P80(x64841)+E(f326(f326(f82(x64841),f326(f326(f251(x64841),x64842),x64843)),f326(f326(f251(x64841),x64842),x64844)),f326(f326(f251(x64841),x64842),f326(f326(f81(a872),x64843),x64844)))
% 149.08/148.75 [6485]~P114(x64851)+E(f326(f326(f82(x64851),f326(f326(f251(x64851),x64852),x64853)),f326(f326(f251(x64851),x64852),x64854)),f326(f326(f251(x64851),x64852),f326(f326(f81(a872),x64853),x64854)))
% 149.08/148.75 [6521]~P98(x65211)+E(f326(f326(f106(x65211),f326(f326(f115(x65211),x65212),x65213)),f326(f326(f115(x65211),x65212),x65214)),f326(f326(f115(x65211),x65212),f326(f326(f106(x65211),x65213),x65214)))
% 149.08/148.75 [6522]~P98(x65221)+E(f326(f326(f115(x65221),f326(f326(f106(x65221),x65222),x65223)),f326(f326(f106(x65221),x65222),x65224)),f326(f326(f106(x65221),x65222),f326(f326(f115(x65221),x65223),x65224)))
% 149.08/148.75 [6523]~P114(x65231)+E(f326(f326(f81(x65231),f326(f326(f82(x65231),x65232),x65233)),f326(f326(f82(x65231),x65232),x65234)),f326(f326(f82(x65231),x65232),f326(f326(f81(x65231),x65233),x65234)))
% 149.08/148.75 [6524]~P105(x65241)+E(f326(f326(f239(x65241),f326(f326(f238(x65241),x65242),x65243)),f326(f326(f238(x65241),x65242),x65244)),f326(f326(f238(x65241),x65242),f326(f326(f239(x65241),x65243),x65244)))
% 149.08/148.75 [6525]~P105(x65251)+E(f326(f326(f238(x65251),f326(f326(f239(x65251),x65252),x65253)),f326(f326(f239(x65251),x65252),x65254)),f326(f326(f239(x65251),x65252),f326(f326(f238(x65251),x65253),x65254)))
% 149.08/148.75 [6557]~P56(x65571)+E(f45(x65571,f326(f326(f82(x65571),x65572),x65573),f326(f326(f82(x65571),x65574),x65573)),f326(f326(f82(x65571),f45(x65571,x65572,x65574)),x65573))
% 149.08/148.75 [6560]~E(f326(f191(f873(x65601)),x65603),f326(f191(f873(x65602)),x65604))+E(f326(f326(f150(f879(x65601,x65602),x65602),f264(x65601,x65602)),f326(f326(f178(x65601,x65602),x65603),x65604)),x65604)
% 149.08/148.75 [6561]~E(f326(f191(f873(x65611)),x65613),f326(f191(f873(x65612)),x65614))+E(f326(f326(f150(f879(x65611,x65612),x65611),f260(x65611,x65612)),f326(f326(f178(x65611,x65612),x65613),x65614)),x65613)
% 149.08/148.75 [6567]P103(f326(f156(x65671,x65672),x65673))+~P103(f326(f156(x65671,x65672),f326(f326(f147(x65671),x65674),x65673)))
% 149.08/148.75 [6568]P103(f326(f156(x65681,x65682),x65683))+~P103(f326(f156(x65681,x65682),f326(f326(f126(x65681),x65684),x65683)))
% 149.08/148.75 [6569]P103(f326(f156(x65691,x65692),x65693))+~P103(f326(f156(x65691,x65692),f326(f326(f126(x65691),x65693),x65694)))
% 149.08/148.75 [6574]~P57(x65741)+E(f45(x65741,f326(f326(f22(x65741),x65742),f45(x65741,x65743,x65744)),x65744),f45(x65741,f326(f326(f22(x65741),x65742),x65743),x65744))
% 149.08/148.75 [6576]~P56(x65761)+E(f45(x65761,f326(f326(f82(x65761),x65762),f45(x65761,x65763,x65764)),x65764),f45(x65761,f326(f326(f82(x65761),x65762),x65763),x65764))
% 149.08/148.75 [6577]~P56(x65771)+E(f45(x65771,f326(f326(f81(x65771),x65772),f45(x65771,x65773,x65774)),x65774),f45(x65771,f326(f326(f81(x65771),x65772),x65773),x65774))
% 149.08/148.75 [6657]~P105(x66571)+E(f326(f326(f106(f880(x66571,a866)),f297(x66571,x66572,x66573)),f326(f295(x66571),x66574)),f297(x66571,x66572,f326(f326(f238(x66571),x66573),x66574)))
% 149.08/148.75 [6658]~P105(x66581)+E(f326(f326(f106(f880(x66581,a866)),f297(x66581,x66582,x66583)),f326(f248(x66581),x66584)),f297(x66581,f326(f326(f239(x66581),x66582),x66584),x66583))
% 149.08/148.75 [6661]~E(f326(f191(f873(x66611)),x66613),f326(f191(f873(x66612)),x66614))+E(f326(f326(f178(x66611,x66612),f326(f165(x66611),x66613)),f326(f165(x66612),x66614)),f326(f165(f879(x66611,x66612)),f326(f326(f178(x66611,x66612),x66613),x66614)))
% 149.08/148.75 [6671]E(x66711,f326(f326(f22(a872),f326(f191(f873(x66712)),x66713)),f79(a872)))+E(f119(x66712,f326(f326(f155(x66712,x66713),x66711),x66714)),f326(f326(f155(x66712,f119(x66712,x66713)),x66711),x66714))
% 149.08/148.75 [6686]~P103(f326(f133(x66862),x66864))+P103(f326(f133(f879(x66861,x66862)),f326(f326(f178(x66861,x66862),x66863),x66864)))
% 149.08/148.75 [6687]~P103(f326(f133(x66871),x66873))+P103(f326(f133(f879(x66871,x66872)),f326(f326(f178(x66871,x66872),x66873),x66874)))
% 149.08/148.75 [6950]E(f326(f326(f39(a872),x69501),x69502),x69503)+~P103(f326(f48(x69501,x69502),f326(f326(f261(a872,a872),x69503),x69504)))
% 149.08/148.75 [6974]E(f45(a872,x69741,x69742),x69743)+~P103(f326(f48(x69741,x69742),f326(f326(f261(a872,a872),x69744),x69743)))
% 149.08/148.75 [6977]P103(f326(f133(x69771),x69772))+~P103(f326(f133(x69773),f326(f326(f150(x69771,x69773),x69774),x69772)))
% 149.08/148.75 [6985]~P20(x69851,x69852,f326(f326(f304(f871(x69851)),x69853),x69854))+P20(x69851,x69852,f326(f326(f304(f871(x69851)),x69853),f190(f880(f871(x69851),a866))))
% 149.08/148.75 [6991]P103(f326(f326(f197(x69911),x69912),x69913))+~P103(f326(f326(f326(f326(a199,x69911),x69912),x69914),x69913))
% 149.08/148.75 [7063]E(f166(x70631,x70632,f326(f326(f126(x70631),x70633),x70634)),f326(f326(f126(x70631),f166(x70631,x70632,x70633)),x70634))+~P103(f326(f326(f328(x70631),x70632),f326(f168(x70631),x70633)))
% 149.08/148.75 [7153]~P57(x71531)+E(f45(x71531,f326(f326(f22(x71531),f45(x71531,x71532,x71533)),x71534),x71533),f45(x71531,f326(f326(f22(x71531),x71532),x71534),x71533))
% 149.08/148.75 [7156]~P56(x71561)+E(f45(x71561,f326(f326(f81(x71561),f45(x71561,x71562,x71563)),x71564),x71563),f45(x71561,f326(f326(f81(x71561),x71562),x71564),x71563))
% 149.08/148.75 [7157]~P56(x71571)+E(f45(x71571,f326(f326(f82(x71571),f45(x71571,x71572,x71573)),x71574),x71573),f45(x71571,f326(f326(f82(x71571),x71572),x71574),x71573))
% 149.08/148.75 [7347]~E(x73471,f326(f326(f147(x73472),x73473),x73474))+~P103(f326(f326(f240(a872),f326(f191(f873(x73472)),x73471)),f326(f191(f873(x73472)),x73474)))
% 149.08/148.75 [7422]~E(f326(f174(x74221,x74222),x74223),f326(f174(x74221,x74222),x74224))+E(f326(f305(f879(x74221,x74222),x74221,f260(x74221,x74222)),f326(f168(f879(x74221,x74222)),x74223)),f326(f305(f879(x74221,x74222),x74221,f260(x74221,x74222)),f326(f168(f879(x74221,x74222)),x74224)))
% 149.08/148.75 [7556]P21(x75561,x75562,x75563,f326(f168(x75561),x75564))+~P103(f326(f133(x75562),f326(f326(f150(x75561,x75562),x75563),x75564)))
% 149.08/148.75 [7630]~P103(f326(f326(f240(f880(x76301,a866)),x76302),x76304))+P103(f326(f326(f240(f880(x76301,a866)),x76302),f326(f326(f304(x76301),x76303),x76304)))
% 149.08/148.75 [7663]~P57(x76631)+E(f45(x76631,f326(f326(f22(x76631),f45(x76631,x76632,x76633)),f45(x76631,x76634,x76633)),x76633),f45(x76631,f326(f326(f22(x76631),x76632),x76634),x76633))
% 149.08/148.75 [7664]~P56(x76641)+E(f45(x76641,f326(f326(f81(x76641),f45(x76641,x76642,x76643)),f45(x76641,x76644,x76643)),x76643),f45(x76641,f326(f326(f81(x76641),x76642),x76644),x76643))
% 149.08/148.75 [7665]~P56(x76651)+E(f45(x76651,f326(f326(f82(x76651),f45(x76651,x76652,x76653)),f45(x76651,x76654,x76653)),x76653),f45(x76651,f326(f326(f82(x76651),x76652),x76654),x76653))
% 149.08/148.75 [7763]P103(f326(f326(f326(f326(a199,x77631),x77632),f326(a117,x77633)),x77634))+~P103(f326(f326(f326(f326(a199,x77631),x77632),x77633),x77634))
% 149.08/148.75 [7770]~E(f326(x77704,f721(x77704,x77703,x77701,x77702)),f190(f880(x77702,a866)))+E(f326(f326(f42(x77701,f880(x77702,a866)),x77703),x77704),f190(f880(x77702,a866)))
% 149.08/148.75 [7771]~E(f326(x77714,f352(x77714,x77713,x77711,x77712)),f249(f880(x77712,a866)))+E(f326(f326(f43(x77711,f880(x77712,a866)),x77713),x77714),f249(f880(x77712,a866)))
% 149.08/148.75 [7772]~E(f326(x77724,f733(x77724,x77723,x77722,x77721)),f190(f880(x77722,a866)))+E(f326(f326(f42(x77721,f880(x77722,a866)),x77723),x77724),f190(f880(x77722,a866)))
% 149.08/148.75 [7773]~E(f326(x77734,f339(x77734,x77733,x77732,x77731)),f249(f880(x77732,a866)))+E(f326(f326(f43(x77731,f880(x77732,a866)),x77733),x77734),f249(f880(x77732,a866)))
% 149.08/148.75 [8170]P103(f326(x81701,x81702))+~P103(f326(f326(f328(x81703),x81702),f326(f326(f106(f880(x81703,a866)),x81704),f326(f246(x81703),x81701))))
% 149.08/148.75 [8209]~P103(f326(f326(f240(f880(x82091,a866)),x82093),x82094))+P103(f326(f326(f240(f880(x82091,a866)),f326(f326(f304(x82091),x82092),x82093)),f326(f326(f304(x82091),x82092),x82094)))
% 149.08/148.75 [8377]P103(f326(f326(f197(x83771),x83772),f849(x83773,x83772,x83774,x83771)))+~P103(f326(f326(f197(f34(x83771,x83774)),x83772),x83773))
% 149.08/148.75 [8378]P103(f326(f326(f197(x83781),x83782),f380(x83783,x83782,x83784,x83781)))+~P103(f326(f326(f197(f34(x83781,x83784)),x83782),x83783))
% 149.08/148.75 [8387]P103(f326(x83872,x83873))+E(f326(f326(f134(x83871),f326(f191(f873(x83871)),f173(x83871,x83872,f326(f326(f147(x83871),x83873),x83874)))),f326(f326(f147(x83871),x83873),x83874)),f326(f326(f147(x83871),x83873),x83874))
% 149.08/148.75 [8502]~P103(f326(f326(f241(a872),f326(x85024,x85022)),f326(x85024,x85023)))+P103(f326(f326(f328(f879(x85021,x85021)),f326(f326(f261(x85021,x85021),x85022),x85023)),f326(f326(f282(a872,x85021),a245),x85024)))
% 149.08/148.75 [8592]~P103(f326(x85922,f776(x85924,x85922,x85923,x85921)))+E(f173(x85921,x85922,f326(f326(f126(x85921),x85923),x85924)),f326(f326(f126(x85921),x85923),f173(x85921,x85922,x85924)))
% 149.08/148.75 [8662]P21(f873(x86621),f873(x86622),f326(f150(x86621,x86622),x86623),x86624)+~P21(x86621,x86622,x86623,f40(f880(x86621,a866),f326(f305(f873(x86621),f880(x86621,a866),f168(x86621)),x86624)))
% 149.08/148.75 [8729]~P103(f326(x87292,x87293))+E(f326(f326(f134(x87291),f326(f191(f873(x87291)),f173(x87291,x87292,f326(f326(f147(x87291),x87293),x87294)))),f326(f326(f147(x87291),x87293),x87294)),f326(f326(f134(x87291),f326(f191(f873(x87291)),f173(x87291,x87292,x87294))),x87294))
% 149.08/148.75 [8769]~E(x87692,x87693)+E(f326(f132(x87691,f326(f326(f8(a866,a866,x87691),a321),f326(a323,x87692))),f326(f326(f147(x87691),x87693),x87694)),f326(f132(x87691,f326(f326(f8(a866,a866,x87691),a321),f326(a323,x87692))),x87694))
% 149.08/148.75 [8779]E(f326(f326(f42(x87791,f880(x87792,a866)),x87793),x87794),f190(f880(x87792,a866)))+P103(f326(f326(f328(x87791),f721(x87794,x87793,x87791,x87792)),x87793))
% 149.08/148.75 [8780]E(f326(f326(f43(x87801,f880(x87802,a866)),x87803),x87804),f249(f880(x87802,a866)))+P103(f326(f326(f328(x87801),f352(x87804,x87803,x87801,x87802)),x87803))
% 149.08/148.75 [8781]E(f326(f326(f42(x87811,f880(x87812,a866)),x87813),x87814),f190(f880(x87812,a866)))+P103(f326(f326(f328(x87811),f733(x87814,x87813,x87812,x87811)),x87813))
% 149.08/148.75 [8782]E(f326(f326(f43(x87821,f880(x87822,a866)),x87823),x87824),f249(f880(x87822,a866)))+P103(f326(f326(f328(x87821),f339(x87824,x87823,x87822,x87821)),x87823))
% 149.08/148.75 [8819]P103(f326(f326(f241(a872),f326(x88191,x88192)),f326(x88191,x88193)))+~P103(f326(f326(f328(f879(x88194,x88194)),f326(f326(f261(x88194,x88194),x88192),x88193)),f326(f326(f282(a872,x88194),a245),x88191)))
% 149.08/148.75 [8840]E(f173(x88401,x88402,f326(f326(f126(x88401),x88403),x88404)),f326(f326(f126(x88401),x88403),f173(x88401,x88402,x88404)))+P103(f326(f326(f328(x88401),f776(x88404,x88402,x88403,x88401)),f326(f168(x88401),x88403)))
% 149.08/148.75 [8877]P103(f326(f326(f197(x88771),f849(x88772,x88773,x88771,x88774)),x88772))+~P103(f326(f326(f197(f34(x88774,x88771)),x88773),x88772))
% 149.08/148.75 [8878]P103(f326(f326(f197(x88781),f380(x88782,x88783,x88781,x88784)),x88782))+~P103(f326(f326(f197(f34(x88784,x88781)),x88783),x88782))
% 149.08/148.75 [9007]P103(f326(f326(f328(x90071),f538(x90072,x90073,x90074,x90071)),x90073))+~P103(f326(f326(f328(f880(x90071,a866)),x90074),f326(f326(f61(x90071),x90073),x90072)))
% 149.08/148.75 [9010]E(x90101,x90102)+~P103(f326(f326(f328(f879(x90103,x90103)),f326(f326(f261(x90103,x90103),x90101),x90102)),f326(f326(f185(f879(x90103,x90103),a866),f2(a872)),x90104)))
% 149.08/148.75 [9089]E(f326(f280(x90891,x90891,x90892),f326(f326(f304(x90891),f538(x90892,x90893,x90894,x90891)),f190(f880(x90891,a866)))),x90894)+~P103(f326(f326(f328(f880(x90891,a866)),x90894),f326(f326(f61(x90891),x90893),x90892)))
% 149.08/148.75 [9094]~P103(f326(f326(f328(f879(x90941,x90941)),f326(f326(f261(x90941,x90941),x90943),x90942)),f302(x90941,x90944)))+P103(f326(f326(f328(f879(x90941,x90941)),f326(f326(f261(x90941,x90941),x90942),x90943)),f302(x90941,f326(f281(x90941,x90941),x90944))))
% 149.08/148.75 [9106]~P56(x91061)+E(f326(f326(f81(x91061),f326(f326(f81(x91061),f326(f326(f82(x91061),x91062),f326(f326(f39(x91061),x91063),x91062))),f45(x91061,x91063,x91062))),x91064),f326(f326(f81(x91061),x91063),x91064))
% 149.08/148.75 [9116]~P103(f326(f326(f328(x91161),x91163),x91164))+P103(f326(f326(f328(f880(x91161,a866)),f326(f280(x91161,x91161,x91162),f326(f326(f304(x91161),x91163),f190(f880(x91161,a866))))),f326(f326(f61(x91161),x91164),x91162)))
% 149.08/148.75 [9127]P103(f326(f326(f328(f879(x91271,x91271)),f326(f326(f261(x91271,x91271),x91272),x91273)),f302(x91271,x91274)))+~P103(f326(f326(f328(f879(x91271,x91271)),f326(f326(f261(x91271,x91271),x91273),x91272)),f302(x91271,f326(f281(x91271,x91271),x91274))))
% 149.08/148.75 [9219]E(f326(f326(f155(x92191,f326(f165(x92191),x92192)),f326(f326(f22(a872),f326(f326(f22(a872),f326(f191(f873(x92191)),x92192)),x92193)),f79(a872))),x92194),f326(f165(x92191),f326(f326(f155(x92191,x92192),x92193),x92194)))+~P103(f326(f326(f241(a872),x92193),f326(f191(f873(x92191)),x92192)))
% 149.08/148.75 [9222]~P103(f326(x92222,f768(x92224,x92222,x92223,x92221)))+E(f326(f326(f134(x92221),f326(f191(f873(x92221)),f173(x92221,x92222,f326(f326(f126(x92221),x92223),x92224)))),f326(f326(f126(x92221),x92223),x92224)),f326(f326(f134(x92221),f326(f191(f873(x92221)),f173(x92221,x92222,x92224))),x92224))
% 149.08/148.75 [9261]~P21(x92612,x92611,x92613,f249(f880(x92612,a866)))+P103(f326(f326(f240(f880(x92611,a866)),f326(f305(x92612,x92611,x92613),f326(f80(f880(x92612,a866)),x92614))),f326(f80(f880(x92611,a866)),f326(f305(x92612,x92611,x92613),x92614))))
% 149.08/148.75 [9274]~P26(x92741)+E(f326(f138(x92741,x92742,f326(f7(x92742,x92741,x92741),f326(f326(f8(x92741,f880(x92741,x92741),x92742),f115(x92741)),x92743)),f190(x92741)),x92744),f326(f326(f42(x92742,x92741),f326(f168(x92742),x92744)),x92743))
% 149.08/148.75 [9275]~P26(x92751)+E(f326(f138(x92751,x92752,f326(f7(x92752,x92751,x92751),f326(f326(f8(x92751,f880(x92751,x92751),x92752),f106(x92751)),x92753)),f249(x92751)),x92754),f326(f326(f43(x92752,x92751),f326(f168(x92752),x92754)),x92753))
% 149.08/148.75 [9287]E(f326(f326(f134(x92871),f326(f191(f873(x92871)),f173(x92871,x92872,f326(f326(f126(x92871),x92873),x92874)))),f326(f326(f126(x92871),x92873),x92874)),f326(f326(f134(x92871),f326(f191(f873(x92871)),f173(x92871,x92872,x92874))),x92874))+P103(f326(f326(f328(x92871),f768(x92874,x92872,x92873,x92871)),f326(f168(x92871),x92873)))
% 149.08/148.75 [9355]~P103(f326(f326(f328(f879(f873(x93554),f873(x93554))),f326(f326(f261(f873(x93554),f873(x93554)),x93553),x93552)),f153(x93554,x93551)))+P103(f326(f326(f241(a872),f702(x93551,x93552,x93553,x93554)),f326(f191(f873(x93554)),x93553)))
% 149.08/148.75 [9356]~P56(x93561)+E(f326(f326(f81(x93561),f326(f326(f81(x93561),f326(f326(f82(x93561),f326(f326(f39(x93561),x93562),x93563)),x93563)),f45(x93561,x93562,x93563))),x93564),f326(f326(f81(x93561),x93562),x93564))
% 149.08/148.75 [9384]~P103(f326(f326(f328(f879(f873(x93841),f873(x93841))),f326(f326(f261(f873(x93841),f873(x93841)),x93842),x93843)),f326(f281(f873(x93841),f873(x93841)),f153(x93841,x93844))))+P103(f326(f326(f328(f879(f873(x93841),f873(x93841))),f326(f326(f261(f873(x93841),f873(x93841)),x93842),x93843)),f153(x93841,f326(f281(x93841,x93841),x93844))))
% 149.08/148.75 [9385]P103(f326(f326(f328(f879(f873(x93851),f873(x93851))),f326(f326(f261(f873(x93851),f873(x93851)),x93852),x93853)),f326(f281(f873(x93851),f873(x93851)),f153(x93851,x93854))))+~P103(f326(f326(f328(f879(f873(x93851),f873(x93851))),f326(f326(f261(f873(x93851),f873(x93851)),x93852),x93853)),f153(x93851,f326(f281(x93851,x93851),x93854))))
% 149.08/148.75 [9419]~P103(f326(f326(f328(x94191),x94193),f326(f259(x94191,x94192),x94194)))+P103(f326(f326(f328(f879(x94191,x94192)),f326(f326(f261(x94191,x94192),x94193),f581(x94194,x94192,x94193,x94191))),x94194))
% 149.08/148.75 [9420]~P103(f326(f326(f328(x94201),x94203),f326(f259(x94201,x94202),x94204)))+P103(f326(f326(f328(f879(x94201,x94202)),f326(f326(f261(x94201,x94202),x94203),f588(x94204,x94202,x94203,x94201))),x94204))
% 149.08/148.75 [9529]~P103(f326(f62(f876(x95291)),f326(f305(x95292,f876(x95291),x95293),f249(f880(x95292,a866)))))+P103(f326(f62(f876(x95291)),f326(f305(x95292,f876(x95291),f181(x95292,x95291,x95293,f326(f174(x95292,x95291),x95294))),f249(f880(x95292,a866)))))
% 149.08/148.75 [9576]~P103(f326(f326(f328(f879(x95761,x95761)),f326(f326(f261(x95761,x95761),x95762),x95764)),f326(f326(f283(x95761,x95761,x95761),x95763),f302(x95761,x95763))))+P103(f326(f326(f328(f879(x95761,x95761)),f326(f326(f261(x95761,x95761),x95762),f655(x95763,x95764,x95762,x95761))),x95763))
% 149.08/148.75 [9744]~P103(f326(f326(f328(f879(x97442,x97441)),x97444),f326(f281(x97441,x97442),x97443)))+P103(f326(f326(f328(f879(x97441,x97442)),f326(f326(f261(x97441,x97442),f669(x97443,x97444,x97441,x97442)),f668(x97443,x97444,x97441,x97442))),x97443))
% 149.08/148.75 [9772]~P103(f326(f326(f328(f879(f873(x97721),f873(x97721))),f326(f326(f261(f873(x97721),f873(x97721)),x97724),x97723)),f153(x97721,x97722)))+P103(f326(f326(f328(f879(x97721,x97721)),f326(f326(f261(x97721,x97721),f708(x97722,x97723,x97724,x97721)),f709(x97722,x97723,x97724,x97721))),x97722))
% 149.08/148.75 [9868]~P103(f326(f326(f328(f879(f873(x98681),f873(x98681))),f326(f326(f261(f873(x98681),f873(x98681)),x98682),x98684)),f153(x98681,x98683)))+P103(f326(f326(f328(f879(x98681,x98681)),f326(f326(f261(x98681,x98681),f326(f326(f161(x98681),x98682),f702(x98683,x98684,x98682,x98681))),f703(x98683,x98684,x98682,x98681))),x98683))
% 149.08/148.75 [9890]~P103(f326(f62(x98902),x98904))+E(f326(f326(f326(f66(f880(x98901,a866),x98902,f115(f880(x98901,a866))),f326(f326(f7(x98902,f880(x98901,a866),f880(x98901,a866)),f326(f326(f8(x98901,f880(f880(x98901,a866),f880(x98901,a866)),x98902),f304(x98901)),x98903)),f190(f880(x98901,a866)))),f190(f880(x98901,a866))),x98904),f326(f305(x98902,x98901,x98903),x98904))
% 149.08/148.75 [9985]~P21(x99851,x99852,x99853,f249(f880(x99851,a866)))+P103(f326(f326(f240(f880(x99851,a866)),f326(f306(x99851,x99852,x99853),f326(f326(f304(x99852),x99854),f190(f880(x99852,a866))))),f326(f326(f304(x99851),f86(x99851,f326(f326(f7(x99851,x99852,a866),f326(f326(f8(x99852,f880(x99852,a866),x99851),a323),x99853)),x99854))),f190(f880(x99851,a866)))))
% 149.08/148.75 [5603]~E(f326(f326(f126(x56031),x56032),x56034),x56033)+E(f326(f326(f171(x56031),f326(f191(f873(x56031)),x56032)),x56033),x56032)
% 149.08/148.75 [5604]~E(f326(f326(f126(x56042),x56043),x56041),x56044)+E(x56041,f326(f326(f134(x56042),f326(f191(f873(x56042)),x56043)),x56044))
% 149.08/148.75 [5615]~E(x56154,f2(a872))+E(f326(f326(f161(x56151),f326(f326(f147(x56151),x56152),x56153)),x56154),x56152)
% 149.08/148.75 [6142]~P114(x61421)+E(f326(f326(f251(x61421),f326(f326(f251(x61421),x61422),x61423)),x61424),f326(f326(f251(x61421),x61422),f326(f326(f82(a872),x61423),x61424)))
% 149.08/148.75 [6143]~P80(x61431)+E(f326(f326(f251(x61431),f326(f326(f251(x61431),x61432),x61433)),x61434),f326(f326(f251(x61431),x61432),f326(f326(f82(a872),x61433),x61434)))
% 149.08/148.75 [6160]E(x61601,f2(a872))+E(f326(f326(f161(x61602),f326(f326(f147(x61602),x61603),x61604)),x61601),f326(f326(f161(x61602),x61604),f326(f326(f22(a872),x61601),f79(a872))))
% 149.08/148.75 [6185]~P118(x61851)+E(f326(f326(f284(x61851),f326(f326(f82(x61851),x61852),x61853)),x61854),f326(f326(f82(x61851),x61852),f326(f326(f284(x61851),x61853),x61854)))
% 149.08/148.75 [6187]~P63(x61871)+E(f326(f326(f115(x61871),f326(f326(f115(x61871),x61872),x61873)),x61874),f326(f326(f115(x61871),x61872),f326(f326(f115(x61871),x61873),x61874)))
% 149.08/148.75 [6188]~P76(x61881)+E(f326(f326(f115(x61881),f326(f326(f115(x61881),x61882),x61883)),x61884),f326(f326(f115(x61881),x61882),f326(f326(f115(x61881),x61883),x61884)))
% 149.08/148.75 [6189]~P66(x61891)+E(f326(f326(f81(x61891),f326(f326(f81(x61891),x61892),x61893)),x61894),f326(f326(f81(x61891),x61892),f326(f326(f81(x61891),x61893),x61894)))
% 149.08/148.75 [6190]~P114(x61901)+E(f326(f326(f81(x61901),f326(f326(f81(x61901),x61902),x61903)),x61904),f326(f326(f81(x61901),x61902),f326(f326(f81(x61901),x61903),x61904)))
% 149.08/148.75 [6191]~P76(x61911)+E(f326(f326(f106(x61911),f326(f326(f106(x61911),x61912),x61913)),x61914),f326(f326(f106(x61911),x61912),f326(f326(f106(x61911),x61913),x61914)))
% 149.08/148.75 [6193]~P100(x61931)+E(f326(f326(f106(x61931),f326(f326(f106(x61931),x61932),x61933)),x61934),f326(f326(f106(x61931),x61932),f326(f326(f106(x61931),x61933),x61934)))
% 149.08/148.75 [6194]~P114(x61941)+E(f326(f326(f82(x61941),f326(f326(f82(x61941),x61942),x61943)),x61944),f326(f326(f82(x61941),x61942),f326(f326(f82(x61941),x61943),x61944)))
% 149.08/148.75 [6195]~P69(x61951)+E(f326(f326(f82(x61951),f326(f326(f82(x61951),x61952),x61953)),x61954),f326(f326(f82(x61951),x61952),f326(f326(f82(x61951),x61953),x61954)))
% 149.08/148.75 [6198]~P105(x61981)+E(f326(f326(f238(x61981),f326(f326(f238(x61981),x61982),x61983)),x61984),f326(f326(f238(x61981),x61982),f326(f326(f238(x61981),x61983),x61984)))
% 149.08/148.75 [6200]~P105(x62001)+E(f326(f326(f239(x62001),f326(f326(f239(x62001),x62002),x62003)),x62004),f326(f326(f239(x62001),x62002),f326(f326(f239(x62001),x62003),x62004)))
% 149.08/148.75 [6211]~P56(x62111)+E(f45(x62111,f326(f326(f81(x62111),x62112),f326(f326(f82(x62111),x62113),x62114)),x62114),f45(x62111,x62112,x62114))
% 149.08/148.75 [6212]~P56(x62121)+E(f45(x62121,f326(f326(f81(x62121),x62122),f326(f326(f82(x62121),x62123),x62124)),x62123),f45(x62121,x62122,x62123))
% 149.08/148.75 [6346]E(f326(f326(f161(x63461),f326(f326(f171(x63461),x63462),x63463)),x63464),f326(f326(f161(x63461),x63463),x63464))+~P103(f326(f326(f241(a872),x63464),x63462))
% 149.08/148.75 [6519]~P114(x65191)+E(f326(f326(f81(x65191),f326(f326(f81(x65191),x65192),x65193)),x65194),f326(f326(f81(x65191),f326(f326(f81(x65191),x65192),x65194)),x65193))
% 149.08/148.75 [6520]~P114(x65201)+E(f326(f326(f82(x65201),f326(f326(f82(x65201),x65202),x65203)),x65204),f326(f326(f82(x65201),f326(f326(f82(x65201),x65202),x65204)),x65203))
% 149.08/148.75 [6580]~P142(x65802)+E(f326(f326(f6(x65801,x65802),f326(f16(x65802,x65801),x65803)),x65804),f326(f326(f82(x65802),f326(f105(x65802),f326(f38(x65801),x65804))),x65803))
% 149.08/148.75 [6749]E(f326(f326(f106(f880(x67491,a866)),f326(f326(f304(x67491),x67492),x67493)),x67494),f326(f326(f106(f880(x67491,a866)),x67493),x67494))+P103(f326(f326(f328(x67491),x67492),x67494))
% 149.08/148.75 [6818]~P98(x68181)+E(f326(f326(f106(x68181),f326(f326(f115(x68181),x68182),x68183)),f326(f326(f115(x68181),x68184),x68183)),f326(f326(f115(x68181),f326(f326(f106(x68181),x68182),x68184)),x68183))
% 149.08/148.75 [6819]~P78(x68191)+E(f326(f326(f238(x68191),f326(f326(f22(x68191),x68192),x68193)),f326(f326(f22(x68191),x68194),x68193)),f326(f326(f22(x68191),f326(f326(f238(x68191),x68192),x68194)),x68193))
% 149.08/148.75 [6820]~P78(x68201)+E(f326(f326(f239(x68201),f326(f326(f22(x68201),x68202),x68203)),f326(f326(f22(x68201),x68204),x68203)),f326(f326(f22(x68201),f326(f326(f239(x68201),x68202),x68204)),x68203))
% 149.08/148.75 [6821]~P82(x68211)+E(f326(f326(f238(x68211),f326(f326(f81(x68211),x68212),x68213)),f326(f326(f81(x68211),x68214),x68213)),f326(f326(f81(x68211),f326(f326(f238(x68211),x68212),x68214)),x68213))
% 149.08/148.75 [6822]~P82(x68221)+E(f326(f326(f239(x68221),f326(f326(f81(x68221),x68222),x68223)),f326(f326(f81(x68221),x68224),x68223)),f326(f326(f81(x68221),f326(f326(f239(x68221),x68222),x68224)),x68223))
% 149.08/148.75 [6823]~P98(x68231)+E(f326(f326(f115(x68231),f326(f326(f106(x68231),x68232),x68233)),f326(f326(f106(x68231),x68234),x68233)),f326(f326(f106(x68231),f326(f326(f115(x68231),x68232),x68234)),x68233))
% 149.08/148.75 [6825]~P115(x68251)+E(f326(f326(f81(x68251),f326(f326(f82(x68251),x68252),x68253)),f326(f326(f82(x68251),x68254),x68253)),f326(f326(f82(x68251),f326(f326(f81(x68251),x68252),x68254)),x68253))
% 149.08/148.75 [6826]~P105(x68261)+E(f326(f326(f239(x68261),f326(f326(f238(x68261),x68262),x68263)),f326(f326(f238(x68261),x68264),x68263)),f326(f326(f238(x68261),f326(f326(f239(x68261),x68262),x68264)),x68263))
% 149.08/148.75 [6827]~P105(x68271)+E(f326(f326(f238(x68271),f326(f326(f239(x68271),x68272),x68273)),f326(f326(f239(x68271),x68274),x68273)),f326(f326(f239(x68271),f326(f326(f238(x68271),x68272),x68274)),x68273))
% 149.08/148.75 [6828]~P114(x68281)+E(f326(f326(f82(x68281),f326(f326(f251(x68281),x68282),x68283)),f326(f326(f251(x68281),x68284),x68283)),f326(f326(f251(x68281),f326(f326(f82(x68281),x68282),x68284)),x68283))
% 149.08/148.75 [6829]~P73(x68291)+E(f326(f326(f82(x68291),f326(f326(f251(x68291),x68292),x68293)),f326(f326(f251(x68291),x68294),x68293)),f326(f326(f251(x68291),f326(f326(f82(x68291),x68292),x68294)),x68293))
% 149.08/148.75 [6830]~P59(x68301)+E(f326(f326(f284(x68301),f326(f326(f251(x68301),x68302),x68303)),f326(f326(f251(x68301),x68304),x68303)),f326(f326(f251(x68301),f326(f326(f284(x68301),x68302),x68304)),x68303))
% 149.08/148.75 [6831]~P118(x68311)+E(f326(f326(f22(x68311),f326(f326(f284(x68311),x68312),x68313)),f326(f326(f284(x68311),x68314),x68313)),f326(f326(f284(x68311),f326(f326(f22(x68311),x68312),x68314)),x68313))
% 149.08/148.75 [6832]~P118(x68321)+E(f326(f326(f81(x68321),f326(f326(f284(x68321),x68322),x68323)),f326(f326(f284(x68321),x68324),x68323)),f326(f326(f284(x68321),f326(f326(f81(x68321),x68322),x68324)),x68323))
% 149.08/148.75 [6833]~P114(x68331)+E(f326(f326(f81(x68331),f326(f326(f82(x68331),x68332),x68333)),f326(f326(f82(x68331),x68334),x68333)),f326(f326(f82(x68331),f326(f326(f81(x68331),x68332),x68334)),x68333))
% 149.08/148.75 [6865]E(f326(f326(f155(x68651,x68652),x68653),x68654),x68652)+~P103(f326(f326(f240(a872),f326(f191(f873(x68651)),x68652)),x68653))
% 149.08/148.75 [6890]~P103(f326(x68903,x68904))+P103(f326(f326(f326(f115(f880(x68901,a866)),x68902),x68903),x68904))
% 149.08/148.75 [6892]~P103(f326(x68922,x68924))+P103(f326(f326(f326(f115(f880(x68921,a866)),x68922),x68923),x68924))
% 149.08/148.75 [6913]E(f326(f326(f161(x69131),f326(f326(f126(x69131),x69132),x69133)),x69134),f326(f326(f161(x69131),x69132),x69134))+~P103(f326(f326(f241(a872),x69134),f326(f191(f873(x69131)),x69132)))
% 149.08/148.75 [6923]E(f326(f326(f22(f880(x69231,a866)),f326(f326(f304(x69231),x69232),x69233)),x69234),f326(f326(f22(f880(x69231,a866)),x69233),x69234))+~P103(f326(f326(f328(x69231),x69232),x69234))
% 149.08/148.75 [6964]~E(f135(a872,f326(f296(a872,x69641),x69642)),f326(f326(f147(a872),x69644),x69643))+E(f135(a872,f326(f296(a872,f326(f326(f81(a872),x69641),f79(a872))),x69642)),x69643)
% 149.08/148.75 [7037]E(x70371,f2(a872))+E(f326(f326(f147(x70372),x70373),f326(f326(f171(x70372),f326(f326(f22(a872),x70371),f79(a872))),x70374)),f326(f326(f171(x70372),x70371),f326(f326(f147(x70372),x70373),x70374)))
% 149.08/148.75 [7137]E(f326(f326(f161(x71371),x71372),f326(f326(f22(a872),x71373),f326(f191(f873(x71371)),x71374))),f326(f326(f161(x71371),f326(f326(f126(x71371),x71374),x71372)),x71373))+P103(f326(f326(f241(a872),x71373),f326(f191(f873(x71371)),x71374)))
% 149.08/148.75 [7167]E(f326(f326(f106(f880(x71671,a866)),x71672),f326(f326(f304(x71671),x71673),x71674)),f326(f326(f304(x71671),x71673),f326(f326(f106(f880(x71671,a866)),x71672),x71674)))+~P103(f326(f326(f328(x71671),x71673),x71672))
% 149.08/148.75 [7202]E(f326(f326(f161(x72021),f326(f326(f155(x72021,x72022),x72023),x72024)),x72023),x72024)+~P103(f326(f326(f241(a872),x72023),f326(f191(f873(x72021)),x72022)))
% 149.08/148.75 [7223]E(x72231,f190(f880(x72232,a866)))+E(f326(f305(f879(x72233,x72232),x72233,f260(x72233,x72232)),f326(f326(f263(x72233,x72232),x72234),f326(f16(f880(x72232,a866),x72233),x72231))),x72234)
% 149.08/148.75 [7224]E(x72241,f190(f880(x72242,a866)))+E(f326(f305(f879(x72242,x72243),x72243,f264(x72242,x72243)),f326(f326(f263(x72242,x72243),x72241),f326(f16(f880(x72243,a866),x72242),x72244))),x72244)
% 149.08/148.75 [7291]E(f326(f326(f22(f880(x72911,a866)),f326(f326(f304(x72911),x72912),x72913)),x72914),f326(f326(f304(x72911),x72912),f326(f326(f22(f880(x72911,a866)),x72913),x72914)))+P103(f326(f326(f328(x72911),x72912),x72914))
% 149.08/148.75 [7323]P103(f326(x73231,x73232))+P103(f326(f326(f326(f326(a199,f33(x73231,x73233)),x73232),x73234),x73232))
% 149.08/148.75 [7330]~E(x73304,f190(f880(x73302,a866)))+E(f326(f305(f879(x73301,x73302),x73301,f260(x73301,x73302)),f326(f326(f263(x73301,x73302),x73303),f326(f16(f880(x73302,a866),x73301),x73304))),f190(f880(x73301,a866)))
% 149.08/148.75 [7331]~E(x73313,f190(f880(x73311,a866)))+E(f326(f305(f879(x73311,x73312),x73312,f264(x73311,x73312)),f326(f326(f263(x73311,x73312),x73313),f326(f16(f880(x73312,a866),x73311),x73314))),f190(f880(x73312,a866)))
% 149.08/148.75 [7387]~P103(f326(f326(f328(x73871),x73872),x73874))+P103(f326(f326(f328(x73871),x73872),f326(f326(f115(f880(x73871,a866)),x73873),x73874)))
% 149.08/148.75 [7390]~P103(f326(f326(f328(x73901),x73902),x73903))+P103(f326(f326(f328(x73901),x73902),f326(f326(f115(f880(x73901,a866)),x73903),x73904)))
% 149.08/148.75 [7409]E(f326(f326(f106(f880(x74091,a866)),f326(f326(f304(x74091),x74092),x74093)),x74094),f326(f326(f304(x74091),x74092),f326(f326(f106(f880(x74091,a866)),x74093),x74094)))+~P103(f326(f326(f328(x74091),x74092),x74094))
% 149.08/148.75 [7686]P103(f326(x76861,x76862))+~P103(f326(f326(f326(f106(f880(x76863,a866)),x76864),x76861),x76862))
% 149.08/148.75 [7687]P103(f326(x76871,x76872))+~P103(f326(f326(f326(f106(f880(x76873,a866)),x76871),x76874),x76872))
% 149.08/148.75 [7690]E(f326(f326(f6(x76901,a872),x76902),f326(f326(f22(f880(x76901,a866)),x76903),f326(f326(f304(x76901),x76904),f190(f880(x76901,a866))))),f326(f326(f6(x76901,a872),x76902),x76903))+P103(f326(f326(f328(x76901),x76904),x76903))
% 149.08/148.75 [7696]~P72(x76961)+E(f326(f162(x76961),f326(f326(f150(a872,x76961),x76962),f135(a872,f326(f296(a872,x76963),x76964)))),f326(f326(f6(a872,x76961),x76962),f326(f168(a872),f135(a872,f326(f296(a872,x76963),x76964)))))
% 149.08/148.75 [7697]~P72(x76971)+E(f326(f326(f6(a872,x76971),x76972),f326(f168(a872),f135(a872,f326(f296(a872,x76973),x76974)))),f326(f162(x76971),f326(f326(f150(a872,x76971),x76972),f135(a872,f326(f296(a872,x76973),x76974)))))
% 149.08/148.75 [7807]~E(x78073,x78074)+P103(f326(f63(x78071,x78072,f326(f326(f304(x78071),x78073),f190(f880(x78071,a866)))),x78074))
% 149.08/148.75 [7904]P103(f326(f326(f328(x79041),x79042),f326(f168(x79041),x79043)))+~P103(f326(f326(f328(x79041),x79042),f326(f168(x79041),f326(f326(f171(x79041),x79044),x79043))))
% 149.08/148.75 [7905]P103(f326(f326(f328(x79051),x79052),f326(f168(x79051),x79053)))+~P103(f326(f326(f328(x79051),x79052),f326(f168(x79051),f326(f326(f134(x79051),x79054),x79053))))
% 149.08/148.75 [7978]P103(f326(f326(f328(x79781),x79782),x79783))+~P103(f326(f326(f328(x79781),x79782),f326(f326(f22(f880(x79781,a866)),x79783),x79784)))
% 149.08/148.75 [7980]P103(f326(f326(f328(x79801),x79802),x79803))+~P103(f326(f326(f328(x79801),x79802),f326(f326(f106(f880(x79801,a866)),x79804),x79803)))
% 149.08/148.75 [7983]P103(f326(f326(f328(x79831),x79832),x79833))+~P103(f326(f326(f328(x79831),x79832),f326(f326(f106(f880(x79831,a866)),x79833),x79834)))
% 149.08/148.75 [8001]E(f326(f326(f126(x80011),f326(f326(f171(x80011),x80012),x80013)),f326(f326(f147(x80011),x80014),f326(f326(f134(x80011),f326(a117,x80012)),x80013))),f326(f326(f155(x80011,x80013),x80012),x80014))+~P103(f326(f326(f241(a872),x80012),f326(f191(f873(x80011)),x80013)))
% 149.08/148.75 [8026]P103(f326(f326(f328(x80261),x80262),x80263))+~P103(f326(f326(f240(f880(x80261,a866)),f326(f326(f304(x80261),x80262),x80264)),x80263))
% 149.08/148.75 [8059]~P103(f326(f326(f328(x80591),x80592),x80593))+~P103(f326(f326(f328(x80591),x80592),f326(f326(f22(f880(x80591,a866)),x80594),x80593)))
% 149.08/148.75 [8092]~P103(f326(f326(f241(a872),x80924),f326(f191(f873(x80921)),x80923)))+P103(f326(f326(f328(x80921),x80922),f326(f168(x80921),f326(f326(f155(x80921,x80923),x80924),x80922))))
% 149.08/148.75 [8147]E(f326(f326(f161(x81471),f326(f326(f134(x81471),x81472),x81473)),x81474),f326(f326(f161(x81471),x81473),f326(f326(f81(a872),x81472),x81474)))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x81472),x81474)),f326(f191(f873(x81471)),x81473)))
% 149.08/148.75 [8157]~P142(x81572)+E(f326(f326(f6(x81571,x81572),f326(f326(f8(a872,x81572,x81571),f105(x81572)),x81573)),x81574),f326(f105(x81572),f326(f326(f6(x81571,a872),x81573),x81574)))
% 149.08/148.75 [8158]~P138(x81582)+E(f326(f326(f6(x81581,x81582),f326(f326(f8(a1,x81582,x81581),f107(x81582)),x81583)),x81584),f326(f107(x81582),f326(f326(f6(x81581,a1),x81583),x81584)))
% 149.08/148.75 [8211]~P62(x82112)+E(f326(f326(f9(x82111,x82112),f326(f326(f8(x82112,x82112,x82111),f76(x82112)),x82113)),x82114),f326(f76(x82112),f326(f326(f9(x82111,x82112),x82113),x82114)))
% 149.08/148.75 [8212]~P65(x82122)+E(f326(f326(f6(x82121,x82122),f326(f326(f8(x82122,x82122,x82121),f80(x82122)),x82123)),x82124),f326(f80(x82122),f326(f326(f6(x82121,x82122),x82123),x82124)))
% 149.08/148.75 [8214]E(f326(f326(f6(x82141,a872),x82142),f326(f326(f22(f880(x82141,a866)),x82143),f326(f326(f304(x82141),x82144),f190(f880(x82141,a866))))),f326(f326(f22(a872),f326(f326(f6(x82141,a872),x82142),x82143)),f326(x82142,x82144)))+~P103(f326(f326(f328(x82141),x82144),x82143))
% 149.08/148.75 [8234]P103(f326(f326(f240(f880(x82341,a866)),x82342),x82343))+~P103(f326(f326(f240(f880(x82341,a866)),f326(f326(f304(x82341),x82344),x82342)),x82343))
% 149.08/148.75 [8443]E(f326(a117,f824(x84431,x84432,x84433,x84434)),x84432)+~P103(f326(f326(f326(f326(a199,f326(a26,x84434)),x84433),x84432),x84431))
% 149.08/148.75 [8445]E(f326(f326(f174(x84451,x84452),x84453),x84454),f193(x84452))+P103(f326(f326(f328(x84451),x84454),f326(f305(f879(x84451,x84452),x84451,f260(x84451,x84452)),f326(f168(f879(x84451,x84452)),x84453))))
% 149.08/148.75 [8446]P37(x84461,x84462)+~P37(x84461,f326(f326(f304(f879(x84461,x84461)),f326(f326(f261(x84461,x84461),x84463),x84464)),x84462))
% 149.08/148.75 [8447]P53(x84471,x84472)+~P53(x84471,f326(f326(f304(f879(x84471,x84471)),f326(f326(f261(x84471,x84471),x84473),x84474)),x84472))
% 149.08/148.75 [8456]~P105(x84561)+E(f326(f326(f144(x84561,x84561,f5(x84561)),x84562),f326(f326(f144(x84561,x84561,f5(x84561)),x84563),x84564)),f326(f326(f144(x84561,x84561,f5(x84561)),x84563),f326(f326(f144(x84561,x84561,f5(x84561)),x84562),x84564)))
% 149.08/148.75 [8466]E(x84661,x84662)+~P103(f326(f63(x84663,x84664,f326(f326(f304(x84663),x84661),f190(f880(x84663,a866)))),x84662))
% 149.08/148.75 [8476]E(f326(f326(f126(x84761),f326(f326(f171(x84761),x84762),x84763)),f326(f326(f171(x84761),x84764),f326(f326(f134(x84761),x84762),x84763))),f326(f326(f171(x84761),f326(f326(f81(a872),x84762),x84764)),x84763))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x84762),x84764)),f326(f191(f873(x84761)),x84763)))
% 149.08/148.75 [8516]P103(f326(f62(x85161),x85162))+~E(x85162,f326(f305(a872,x85161,x85163),f326(f246(a872),f326(f326(f7(a872,a872,a866),f241(a872)),x85164))))
% 149.08/148.75 [8536]~P90(x85361)+E(f326(f138(x85361,x85361,f81(x85361),f326(f326(f81(x85361),x85362),x85363)),x85364),f326(f326(f81(x85361),x85362),f326(f138(x85361,x85361,f81(x85361),x85363),x85364)))
% 149.08/148.75 [8570]P103(f326(f326(f240(f880(x85701,a866)),f326(f259(x85701,x85702),x85703)),f326(f259(x85701,x85702),x85704)))+~P103(f326(f326(f240(f880(f879(x85701,x85702),a866)),x85703),x85704))
% 149.08/148.75 [8583]~P103(f326(f326(f240(a872),x85832),x85834))+P103(f326(f326(f240(f880(x85831,a866)),f326(f168(x85831),f326(f326(f171(x85831),x85832),x85833))),f326(f168(x85831),f326(f326(f171(x85831),x85834),x85833))))
% 149.08/148.75 [8584]~P103(f326(f326(f240(a872),x85844),x85842))+P103(f326(f326(f240(f880(x85841,a866)),f326(f168(x85841),f326(f326(f134(x85841),x85842),x85843))),f326(f168(x85841),f326(f326(f134(x85841),x85844),x85843))))
% 149.08/148.75 [8637]~P103(f326(f62(x86371),f326(f326(f22(f880(x86371,a866)),x86372),x86374)))+P103(f326(f62(x86371),f326(f326(f22(f880(x86371,a866)),x86372),f326(f326(f304(x86371),x86373),x86374))))
% 149.08/148.75 [8673]P103(f326(f326(f328(f879(x86731,x86731)),x86732),f302(x86731,x86733)))+~P103(f326(f326(f328(f879(x86731,x86731)),x86732),f326(f326(f185(f879(x86731,x86731),a866),x86734),x86733)))
% 149.08/148.75 [8751]~P103(f326(f62(x87511),f326(f326(f22(f880(x87511,a866)),x87512),f326(f326(f304(x87511),x87514),x87513))))+P103(f326(f62(x87511),f326(f326(f22(f880(x87511,a866)),x87512),x87513)))
% 149.08/148.75 [8900]~E(f326(f326(f174(x89001,x89002),x89003),x89004),f193(x89002))+~P103(f326(f326(f328(x89001),x89004),f326(f305(f879(x89001,x89002),x89001,f260(x89001,x89002)),f326(f168(f879(x89001,x89002)),x89003))))
% 149.08/148.75 [8966]~P76(x89661)+P103(f326(f326(f240(x89661),f326(f326(f115(x89661),x89662),f326(f326(f106(x89661),x89663),x89664))),f326(f326(f106(x89661),f326(f326(f115(x89661),x89662),x89663)),f326(f326(f115(x89661),x89662),x89664))))
% 149.08/148.75 [8967]~P105(x89671)+P103(f326(f326(f240(x89671),f326(f326(f239(x89671),x89672),f326(f326(f238(x89671),x89673),x89674))),f326(f326(f238(x89671),f326(f326(f239(x89671),x89672),x89673)),f326(f326(f239(x89671),x89672),x89674))))
% 149.08/148.75 [9112]E(x91121,x91122)+~P103(f326(f326(f328(f879(x91123,x91123)),f326(f326(f261(x91123,x91123),x91121),x91122)),f326(f168(f879(x91123,x91123)),f326(f326(f178(x91123,x91123),x91124),x91124))))
% 149.08/148.75 [9145]~P103(f326(f326(f328(f879(x91451,x91451)),f326(f326(f261(x91451,x91451),x91453),x91452)),f302(x91451,x91454)))+~P37(x91451,f326(f326(f304(f879(x91451,x91451)),f326(f326(f261(x91451,x91451),x91452),x91453)),x91454))
% 149.08/148.75 [9146]~P103(f326(f326(f328(f879(x91461,x91461)),f326(f326(f261(x91461,x91461),x91463),x91462)),f302(x91461,x91464)))+~P53(x91461,f326(f326(f304(f879(x91461,x91461)),f326(f326(f261(x91461,x91461),x91462),x91463)),x91464))
% 149.08/148.75 [9151]E(x91511,x91512)+E(f326(f132(x91513,f326(f326(f8(a866,a866,x91513),a321),f326(a323,x91511))),f326(f326(f147(x91513),x91512),x91514)),f326(f326(f147(x91513),x91512),f326(f132(x91513,f326(f326(f8(a866,a866,x91513),a321),f326(a323,x91511))),x91514)))
% 149.08/148.75 [9195]~P76(x91951)+P103(f326(f326(f240(x91951),f326(f326(f115(x91951),f326(f326(f106(x91951),x91952),x91953)),f326(f326(f106(x91951),x91952),x91954))),f326(f326(f106(x91951),x91952),f326(f326(f115(x91951),x91953),x91954))))
% 149.08/148.75 [9196]~P105(x91961)+P103(f326(f326(f240(x91961),f326(f326(f239(x91961),f326(f326(f238(x91961),x91962),x91963)),f326(f326(f238(x91961),x91962),x91964))),f326(f326(f238(x91961),x91962),f326(f326(f239(x91961),x91963),x91964))))
% 149.08/148.75 [9270]~E(f326(f305(x92702,x92701,x92703),f249(f880(x92702,a866))),f249(f880(x92701,a866)))+P103(f326(f326(f240(f880(x92701,a866)),f326(f80(f880(x92701,a866)),f326(f305(x92702,x92701,x92703),x92704))),f326(f305(x92702,x92701,x92703),f326(f80(f880(x92702,a866)),x92704))))
% 149.08/148.75 [9348]P103(f326(f326(f326(f326(a199,f326(f237(a868),f326(a28,x93481))),x93482),f824(x93483,x93484,x93482,x93481)),x93483))+~P103(f326(f326(f326(f326(a199,f326(a26,x93481)),x93482),x93484),x93483))
% 149.08/148.75 [9590]P103(f326(f326(f328(f879(x95901,x95901)),f326(f326(f261(x95901,x95901),x95902),x95903)),f326(f281(x95901,x95901),f326(f326(f283(x95901,x95901,x95901),x95904),f302(x95901,x95904)))))+~P103(f326(f326(f328(f879(x95901,x95901)),f326(f326(f261(x95901,x95901),x95902),x95903)),f326(f326(f283(x95901,x95901,x95901),f326(f281(x95901,x95901),x95904)),f302(x95901,f326(f281(x95901,x95901),x95904)))))
% 149.08/148.75 [9591]~P103(f326(f326(f328(f879(x95911,x95911)),f326(f326(f261(x95911,x95911),x95912),x95913)),f326(f281(x95911,x95911),f326(f326(f283(x95911,x95911,x95911),x95914),f302(x95911,x95914)))))+P103(f326(f326(f328(f879(x95911,x95911)),f326(f326(f261(x95911,x95911),x95912),x95913)),f326(f326(f283(x95911,x95911,x95911),f326(f281(x95911,x95911),x95914)),f302(x95911,f326(f281(x95911,x95911),x95914)))))
% 149.08/148.75 [9612]~P103(f326(f326(f328(x96122),x96124),f326(f257(x96121,x96122),x96123)))+P103(f326(f326(f328(f879(x96121,x96122)),f326(f326(f261(x96121,x96122),f571(x96123,x96121,x96124,x96122)),x96124)),x96123))
% 149.08/148.75 [9613]~P103(f326(f326(f328(x96132),x96134),f326(f257(x96131,x96132),x96133)))+P103(f326(f326(f328(f879(x96131,x96132)),f326(f326(f261(x96131,x96132),f583(x96133,x96131,x96134,x96132)),x96134)),x96133))
% 149.08/148.75 [9638]~P103(f326(f326(f328(x96381),x96384),f326(f326(f115(f880(x96381,a866)),x96382),x96383)))+P103(f326(f326(f326(f115(f880(x96381,a866)),f326(f326(f7(x96381,f880(x96381,a866),a866),f328(x96381)),x96382)),f326(f326(f7(x96381,f880(x96381,a866),a866),f328(x96381)),x96383)),x96384))
% 149.08/148.75 [9639]~P103(f326(f326(f328(x96391),x96394),f326(f326(f106(f880(x96391,a866)),x96392),x96393)))+P103(f326(f326(f326(f106(f880(x96391,a866)),f326(f326(f7(x96391,f880(x96391,a866),a866),f328(x96391)),x96392)),f326(f326(f7(x96391,f880(x96391,a866),a866),f328(x96391)),x96393)),x96394))
% 149.08/148.75 [9715]~P103(f326(f326(f328(f879(x97151,x97151)),f326(f326(f261(x97151,x97151),x97154),x97153)),f326(f326(f283(x97151,x97151,x97151),x97152),f302(x97151,x97152))))+P103(f326(f326(f328(f879(x97151,x97151)),f326(f326(f261(x97151,x97151),f656(x97152,x97153,x97154,x97151)),x97153)),x97152))
% 149.08/148.75 [9760]P103(f326(f326(f328(x97601),x97602),f326(f326(f115(f880(x97601,a866)),x97603),x97604)))+~P103(f326(f326(f326(f115(f880(x97601,a866)),f326(f326(f7(x97601,f880(x97601,a866),a866),f328(x97601)),x97603)),f326(f326(f7(x97601,f880(x97601,a866),a866),f328(x97601)),x97604)),x97602))
% 149.08/148.75 [9761]P103(f326(f326(f328(x97611),x97612),f326(f326(f106(f880(x97611,a866)),x97613),x97614)))+~P103(f326(f326(f326(f106(f880(x97611,a866)),f326(f326(f7(x97611,f880(x97611,a866),a866),f328(x97611)),x97613)),f326(f326(f7(x97611,f880(x97611,a866),a866),f328(x97611)),x97614)),x97612))
% 149.08/148.75 [10039]P32(x100391,f326(f326(f7(x100391,f880(f879(x100391,x100391),a866),f880(x100391,a866)),f326(f326(f8(f880(x100391,f880(f880(f879(x100391,x100391),a866),a866)),f880(f880(f879(x100391,x100391),a866),f880(x100391,a866)),x100391),f7(x100391,f880(f879(x100391,x100391),a866),a866)),f326(f326(f8(f880(x100391,f879(x100391,x100391)),f880(x100391,f880(f880(f879(x100391,x100391),a866),a866)),x100391),f326(f8(f879(x100391,x100391),f880(f880(f879(x100391,x100391),a866),a866),x100391),f328(f879(x100391,x100391)))),f261(x100391,x100391)))),x100392),x100393,x100394)+~P103(f326(f326(f328(f879(f873(x100391),f873(x100391))),f326(f326(f261(f873(x100391),f873(x100391)),x100393),x100394)),f154(x100391,x100392)))
% 149.08/148.75 [10043]P54(x100431,f326(f326(f7(x100431,f880(f879(x100431,x100431),a866),f880(x100431,a866)),f326(f326(f8(f880(x100431,f880(f880(f879(x100431,x100431),a866),a866)),f880(f880(f879(x100431,x100431),a866),f880(x100431,a866)),x100431),f7(x100431,f880(f879(x100431,x100431),a866),a866)),f326(f326(f8(f880(x100431,f879(x100431,x100431)),f880(x100431,f880(f880(f879(x100431,x100431),a866),a866)),x100431),f326(f8(f879(x100431,x100431),f880(f880(f879(x100431,x100431),a866),a866),x100431),f328(f879(x100431,x100431)))),f261(x100431,x100431)))),x100432),x100433,x100434)+~P103(f326(f326(f328(f879(f880(x100431,a866),f880(x100431,a866))),f326(f326(f261(f880(x100431,a866),f880(x100431,a866)),x100433),x100434)),f317(x100431,x100432)))
% 149.08/148.75 [10072]E(x100721,x100722)+~E(f326(f326(f7(x100723,f880(f879(x100723,x100724),a866),f880(x100724,a866)),f326(f326(f8(f880(x100724,f880(f880(f879(x100723,x100724),a866),a866)),f880(f880(f879(x100723,x100724),a866),f880(x100724,a866)),x100723),f7(x100724,f880(f879(x100723,x100724),a866),a866)),f326(f326(f8(f880(x100724,f879(x100723,x100724)),f880(x100724,f880(f880(f879(x100723,x100724),a866),a866)),x100723),f326(f8(f879(x100723,x100724),f880(f880(f879(x100723,x100724),a866),a866),x100724),f328(f879(x100723,x100724)))),f261(x100723,x100724)))),x100721),f326(f326(f7(x100723,f880(f879(x100723,x100724),a866),f880(x100724,a866)),f326(f326(f8(f880(x100724,f880(f880(f879(x100723,x100724),a866),a866)),f880(f880(f879(x100723,x100724),a866),f880(x100724,a866)),x100723),f7(x100724,f880(f879(x100723,x100724),a866),a866)),f326(f326(f8(f880(x100724,f879(x100723,x100724)),f880(x100724,f880(f880(f879(x100723,x100724),a866),a866)),x100723),f326(f8(f879(x100723,x100724),f880(f880(f879(x100723,x100724),a866),a866),x100724),f328(f879(x100723,x100724)))),f261(x100723,x100724)))),x100722))
% 149.08/148.75 [10076]~P32(x100761,f326(f326(f7(x100761,f880(f879(x100761,x100761),a866),f880(x100761,a866)),f326(f326(f8(f880(x100761,f880(f880(f879(x100761,x100761),a866),a866)),f880(f880(f879(x100761,x100761),a866),f880(x100761,a866)),x100761),f7(x100761,f880(f879(x100761,x100761),a866),a866)),f326(f326(f8(f880(x100761,f879(x100761,x100761)),f880(x100761,f880(f880(f879(x100761,x100761),a866),a866)),x100761),f326(f8(f879(x100761,x100761),f880(f880(f879(x100761,x100761),a866),a866),x100761),f328(f879(x100761,x100761)))),f261(x100761,x100761)))),x100764),x100762,x100763)+P103(f326(f326(f328(f879(f873(x100761),f873(x100761))),f326(f326(f261(f873(x100761),f873(x100761)),x100762),x100763)),f154(x100761,x100764)))
% 149.08/148.75 [10077]~P54(x100771,f326(f326(f7(x100771,f880(f879(x100771,x100771),a866),f880(x100771,a866)),f326(f326(f8(f880(x100771,f880(f880(f879(x100771,x100771),a866),a866)),f880(f880(f879(x100771,x100771),a866),f880(x100771,a866)),x100771),f7(x100771,f880(f879(x100771,x100771),a866),a866)),f326(f326(f8(f880(x100771,f879(x100771,x100771)),f880(x100771,f880(f880(f879(x100771,x100771),a866),a866)),x100771),f326(f8(f879(x100771,x100771),f880(f880(f879(x100771,x100771),a866),a866),x100771),f328(f879(x100771,x100771)))),f261(x100771,x100771)))),x100774),x100772,x100773)+P103(f326(f326(f328(f879(f880(x100771,a866),f880(x100771,a866))),f326(f326(f261(f880(x100771,a866),f880(x100771,a866)),x100772),x100773)),f317(x100771,x100774)))
% 149.08/148.75 [7461]~P93(x74611)+E(f326(f326(f81(x74611),f326(f108(x74611),x74612)),f326(f326(f22(x74611),f326(f108(x74611),x74613)),x74614)),f326(f326(f22(x74611),f326(f108(x74611),f326(f326(f81(a1),x74612),x74613))),x74614))
% 149.08/148.75 [7462]~P93(x74621)+E(f326(f326(f81(x74621),f326(f108(x74621),x74622)),f326(f326(f81(x74621),f326(f108(x74621),x74623)),x74624)),f326(f326(f81(x74621),f326(f108(x74621),f326(f326(f81(a1),x74622),x74623))),x74624))
% 149.08/148.75 [7463]~P93(x74631)+E(f326(f326(f82(x74631),f326(f108(x74631),x74632)),f326(f326(f82(x74631),f326(f108(x74631),x74633)),x74634)),f326(f326(f82(x74631),f326(f108(x74631),f326(f326(f82(a1),x74632),x74633))),x74634))
% 149.08/148.75 [7508]~P142(x75081)+E(f326(f162(x75081),f326(f326(f150(x75082,x75081),f326(f16(x75081,x75082),x75083)),x75084)),f326(f326(f82(x75081),f326(f105(x75081),f326(f191(f873(x75082)),x75084))),x75083))
% 149.08/148.75 [7741]E(f326(f272(x77411,f326(f326(f147(f879(a104,x77411)),x77412),x77413)),x77414),f326(f264(a104,x77411),x77412))+~P103(f326(f326(f241(a104),x77414),f326(f260(a104,x77411),x77412)))
% 149.08/148.75 [7786]~P93(x77861)+E(f326(f326(f81(x77861),f326(f108(x77861),x77862)),f326(f326(f22(x77861),x77863),f326(f108(x77861),x77864))),f326(f326(f81(x77861),f326(f108(x77861),f326(f326(f81(a1),x77862),f326(f80(a1),x77864)))),x77863))
% 149.08/148.75 [7917]E(f326(f272(x79171,x79172),f326(f326(f22(a104),x79173),f326(f260(a104,x79171),x79174))),f326(f272(x79171,f326(f326(f147(f879(a104,x79171)),x79174),x79172)),x79173))+P103(f326(f326(f241(a104),x79173),f326(f260(a104,x79171),x79174)))
% 149.08/148.75 [8361]~P103(f326(f326(f328(x83611),x83612),f326(f168(x83611),f119(x83611,x83614))))+P103(f326(f326(f328(x83611),x83612),f326(f168(x83611),f119(x83611,f326(f326(f126(x83611),x83613),x83614)))))
% 149.08/148.75 [8362]~P103(f326(f326(f328(x83621),x83622),f326(f168(x83621),f119(x83621,x83623))))+P103(f326(f326(f328(x83621),x83622),f326(f168(x83621),f119(x83621,f326(f326(f126(x83621),x83623),x83624)))))
% 149.08/148.75 [8382]E(f326(f326(f115(f880(x83821,a866)),f326(f326(f106(f880(x83821,a866)),x83822),x83823)),x83824),f326(f326(f106(f880(x83821,a866)),x83822),f326(f326(f115(f880(x83821,a866)),x83823),x83824)))+~P103(f326(f326(f240(f880(x83821,a866)),x83824),x83822))
% 149.08/148.75 [8686]~E(f326(f326(f115(f880(x86861,a866)),f326(f326(f106(f880(x86861,a866)),x86863),x86864)),x86862),f326(f326(f106(f880(x86861,a866)),x86863),f326(f326(f115(f880(x86861,a866)),x86864),x86862)))+P103(f326(f326(f240(f880(x86861,a866)),x86862),x86863))
% 149.08/148.75 [8972]~P103(f326(f326(f240(f880(x89721,a866)),x89722),f326(f326(f115(f880(x89721,a866)),x89723),x89724)))+P103(f326(f326(f240(f880(x89721,a866)),f326(f326(f22(f880(x89721,a866)),x89722),x89723)),x89724))
% 149.08/148.75 [9031]~P103(f326(f326(f326(f326(a199,f326(a26,x90311)),x90312),f326(a117,x90313)),x90314))+P103(f326(f326(f326(f326(a199,f326(f237(a868),f326(a28,x90311))),x90312),x90313),x90314))
% 149.08/148.75 [9091]P103(f326(f326(f240(f880(x90911,a866)),x90912),f326(f326(f115(f880(x90911,a866)),x90913),x90914)))+~P103(f326(f326(f240(f880(x90911,a866)),f326(f326(f22(f880(x90911,a866)),x90912),x90913)),x90914))
% 149.08/148.75 [9144]P103(f326(f326(f326(f326(a199,f326(a26,x91441)),x91442),f326(a117,x91443)),x91444))+~P103(f326(f326(f326(f326(a199,f326(f237(a868),f326(a28,x91441))),x91442),x91443),x91444))
% 149.08/148.75 [9176]~P84(x91761)+E(f326(f76(x91761),f326(f326(f6(x91762,x91761),f326(f326(f8(x91761,x91761,x91762),f76(x91761)),x91763)),x91764)),f326(f326(f6(x91762,x91761),f326(f326(f8(x91761,x91761,x91762),f76(x91761)),x91763)),x91764))
% 149.08/148.75 [9346]~P84(x93461)+P103(f326(f326(f240(x93461),f2(x93461)),f326(f326(f6(x93462,x93461),f326(f326(f8(x93461,x93461,x93462),f76(x93461)),x93463)),x93464)))
% 149.08/148.75 [9351]~P65(x93511)+E(f326(f162(x93511),f326(f326(f150(x93512,x93511),f326(f74(x93511,x93511,x93512,f80(x93511)),x93513)),x93514)),f326(f80(x93511),f326(f162(x93511),f326(f326(f150(x93512,x93511),x93513),x93514))))
% 149.08/148.75 [9485]~P84(x94851)+P103(f326(f326(f240(x94851),f326(f76(x94851),f326(f326(f6(x94852,x94851),x94853),x94854))),f326(f326(f6(x94852,x94851),f326(f326(f8(x94851,x94851,x94852),f76(x94851)),x94853)),x94854)))
% 149.08/148.75 [9515]~E(f326(f326(f81(a872),x95151),x95154),f326(f326(f81(a872),x95153),x95152))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x95151),x95152)),f326(f326(f261(a872,a872),x95153),x95154))),a113))
% 149.08/148.75 [9516]~P103(f326(f326(f241(a872),x95161),x95163))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x95161),x95162)),f326(f326(f261(a872,a872),x95163),x95164))),a36))
% 149.08/148.75 [9517]~P103(f326(f326(f241(a872),x95171),x95173))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x95171),x95172)),f326(f326(f261(a872,a872),x95173),x95174))),a71))
% 149.08/148.75 [9663]E(f326(f326(f81(a872),x96631),x96632),f326(f326(f81(a872),x96633),x96634))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x96631),x96634)),f326(f326(f261(a872,a872),x96633),x96632))),a113))
% 149.08/148.75 [9689]E(f326(f326(f161(x96891),f326(f326(f134(x96891),f326(f191(f873(x96891)),f173(x96891,x96892,x96893))),x96893)),x96894),f326(f326(f161(x96891),x96893),f326(f326(f81(a872),x96894),f326(f191(f873(x96891)),f173(x96891,x96892,x96893)))))+~P103(f326(f326(f241(a872),x96894),f326(f191(f873(x96891)),f326(f326(f134(x96891),f326(f191(f873(x96891)),f173(x96891,x96892,x96893))),x96893))))
% 149.08/148.75 [9706]~P103(f326(f326(f328(x97062),x97064),f326(f326(f42(x97061,f880(x97062,a866)),f249(f880(x97061,a866))),x97063)))+P103(f326(f326(f326(f42(x97061,f880(x97062,a866)),f249(f880(x97061,a866))),f326(f326(f8(f880(x97062,a866),f880(x97062,a866),x97061),f326(f7(x97062,f880(x97062,a866),a866),f328(x97062))),x97063)),x97064))
% 149.08/148.75 [9707]~P103(f326(f326(f328(x97072),x97074),f326(f326(f43(x97071,f880(x97072,a866)),f249(f880(x97071,a866))),x97073)))+P103(f326(f326(f326(f43(x97071,f880(x97072,a866)),f249(f880(x97071,a866))),f326(f326(f8(f880(x97072,a866),f880(x97072,a866),x97071),f326(f7(x97072,f880(x97072,a866),a866),f328(x97072))),x97073)),x97074))
% 149.08/148.75 [9788]~P103(f326(f49(x97881,x97882),f326(f326(f261(a1,a1),x97884),x97883)))+P103(f326(f49(f326(f80(a1),x97881),x97882),f326(f326(f261(a1,a1),f326(f326(f326(f101(a1),f326(f326(a323,x97883),f2(a1))),f326(f80(a1),x97884)),f326(f326(f22(a1),f326(f80(a1),x97884)),f79(a1)))),f326(f326(f326(f101(a1),f326(f326(a323,x97883),f2(a1))),f2(a1)),f326(f326(f22(a1),x97882),x97883)))))
% 149.08/148.75 [9797]P103(f326(f326(f328(x97971),x97972),f326(f326(f42(x97973,f880(x97971,a866)),f249(f880(x97973,a866))),x97974)))+~P103(f326(f326(f326(f42(x97973,f880(x97971,a866)),f249(f880(x97973,a866))),f326(f326(f8(f880(x97971,a866),f880(x97971,a866),x97973),f326(f7(x97971,f880(x97971,a866),a866),f328(x97971))),x97974)),x97972))
% 149.08/148.75 [9798]P103(f326(f326(f328(x97981),x97982),f326(f326(f43(x97983,f880(x97981,a866)),f249(f880(x97983,a866))),x97984)))+~P103(f326(f326(f326(f43(x97983,f880(x97981,a866)),f249(f880(x97983,a866))),f326(f326(f8(f880(x97981,a866),f880(x97981,a866),x97983),f326(f7(x97981,f880(x97981,a866),a866),f328(x97981))),x97984)),x97982))
% 149.08/148.75 [9810]E(f326(f326(f42(a872,f880(x98101,a866)),f249(f880(a872,a866))),x98102),f326(f326(f42(a872,f880(x98101,a866)),f249(f880(a872,a866))),x98103))+~E(f326(f326(f42(a872,f880(x98101,a866)),f326(f296(a872,f2(a872)),f399(x98102,x98104,x98103,x98101))),x98103),f326(f326(f42(a872,f880(x98101,a866)),f326(f296(a872,f2(a872)),f326(f326(f81(a872),f399(x98102,x98104,x98103,x98101)),x98104))),x98102))
% 149.08/148.75 [10130]~P103(f326(f326(f240(f880(f879(x101301,x101302),a866)),x101303),x101304))+P103(f326(f326(f240(f880(x101301,f880(x101302,a866))),f326(f326(f7(x101301,f880(f879(x101301,x101302),a866),f880(x101302,a866)),f326(f326(f8(f880(x101302,f880(f880(f879(x101301,x101302),a866),a866)),f880(f880(f879(x101301,x101302),a866),f880(x101302,a866)),x101301),f7(x101302,f880(f879(x101301,x101302),a866),a866)),f326(f326(f8(f880(x101302,f879(x101301,x101302)),f880(x101302,f880(f880(f879(x101301,x101302),a866),a866)),x101301),f326(f8(f879(x101301,x101302),f880(f880(f879(x101301,x101302),a866),a866),x101302),f328(f879(x101301,x101302)))),f261(x101301,x101302)))),x101303)),f326(f326(f7(x101301,f880(f879(x101301,x101302),a866),f880(x101302,a866)),f326(f326(f8(f880(x101302,f880(f880(f879(x101301,x101302),a866),a866)),f880(f880(f879(x101301,x101302),a866),f880(x101302,a866)),x101301),f7(x101302,f880(f879(x101301,x101302),a866),a866)),f326(f326(f8(f880(x101302,f879(x101301,x101302)),f880(x101302,f880(f880(f879(x101301,x101302),a866),a866)),x101301),f326(f8(f879(x101301,x101302),f880(f880(f879(x101301,x101302),a866),a866),x101302),f328(f879(x101301,x101302)))),f261(x101301,x101302)))),x101304)))
% 149.08/148.75 [10147]P103(f326(f326(f240(f880(f879(x101471,x101472),a866)),x101473),x101474))+~P103(f326(f326(f240(f880(x101471,f880(x101472,a866))),f326(f326(f7(x101471,f880(f879(x101471,x101472),a866),f880(x101472,a866)),f326(f326(f8(f880(x101472,f880(f880(f879(x101471,x101472),a866),a866)),f880(f880(f879(x101471,x101472),a866),f880(x101472,a866)),x101471),f7(x101472,f880(f879(x101471,x101472),a866),a866)),f326(f326(f8(f880(x101472,f879(x101471,x101472)),f880(x101472,f880(f880(f879(x101471,x101472),a866),a866)),x101471),f326(f8(f879(x101471,x101472),f880(f880(f879(x101471,x101472),a866),a866),x101472),f328(f879(x101471,x101472)))),f261(x101471,x101472)))),x101473)),f326(f326(f7(x101471,f880(f879(x101471,x101472),a866),f880(x101472,a866)),f326(f326(f8(f880(x101472,f880(f880(f879(x101471,x101472),a866),a866)),f880(f880(f879(x101471,x101472),a866),f880(x101472,a866)),x101471),f7(x101472,f880(f879(x101471,x101472),a866),a866)),f326(f326(f8(f880(x101472,f879(x101471,x101472)),f880(x101472,f880(f880(f879(x101471,x101472),a866),a866)),x101471),f326(f8(f879(x101471,x101472),f880(f880(f879(x101471,x101472),a866),a866),x101472),f328(f879(x101471,x101472)))),f261(x101471,x101472)))),x101474)))
% 149.08/148.75 [9225]~P103(f326(f326(f328(f879(x92251,x92251)),x92252),f302(x92251,x92254)))+P103(f326(f326(f328(f879(x92251,x92251)),x92252),f302(x92251,f326(f326(f115(f880(f879(x92251,x92251),a866)),x92253),x92254))))
% 149.08/148.75 [9226]~P103(f326(f326(f328(f879(x92261,x92261)),x92262),f302(x92261,x92263)))+P103(f326(f326(f328(f879(x92261,x92261)),x92262),f302(x92261,f326(f326(f115(f880(f879(x92261,x92261),a866)),x92263),x92264))))
% 149.08/148.75 [9582]~E(f326(f168(x95821),x95824),f180(x95821,x95822,x95823))+E(f326(f174(x95821,x95822),f326(f326(f150(x95821,f879(x95821,x95822)),f326(f326(f18(x95821,x95822,f879(x95821,x95822)),f261(x95821,x95822)),f326(f326(f8(f876(x95822),x95822,x95821),f237(x95822)),x95823))),x95824)),x95823)
% 149.08/148.75 [9904]~P103(f326(f326(f240(a872),f326(f326(f81(a872),x99041),x99044)),f326(f326(f81(a872),x99043),x99042)))+P103(f326(f326(f240(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99041),x99042)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99043),x99044)),f190(f880(f879(a872,a872),a866)))))))
% 149.08/148.75 [9905]~P103(f326(f326(f241(a872),f326(f326(f81(a872),x99051),x99054)),f326(f326(f81(a872),x99053),x99052)))+P103(f326(f326(f241(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99051),x99052)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99053),x99054)),f190(f880(f879(a872,a872),a866)))))))
% 149.08/148.75 [9982]P103(f326(f326(f240(a872),f326(f326(f81(a872),x99821),x99822)),f326(f326(f81(a872),x99823),x99824)))+~P103(f326(f326(f240(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99821),x99824)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99823),x99822)),f190(f880(f879(a872,a872),a866)))))))
% 149.08/148.75 [9983]P103(f326(f326(f241(a872),f326(f326(f81(a872),x99831),x99832)),f326(f326(f81(a872),x99833),x99834)))+~P103(f326(f326(f241(a1),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99831),x99834)),f190(f880(f879(a872,a872),a866)))))),f326(a90,f326(f280(f879(a872,a872),f879(a872,a872),a113),f326(f326(f304(f879(a872,a872)),f326(f326(f261(a872,a872),x99833),x99832)),f190(f880(f879(a872,a872),a866)))))))
% 149.08/148.75 [10024]P103(f326(f326(f240(f880(x100241,a866)),f326(f326(f42(a872,f880(x100241,a866)),f249(f880(a872,a866))),x100242)),f326(f326(f42(a872,f880(x100241,a866)),f249(f880(a872,a866))),x100243)))+~P103(f326(f326(f240(f880(x100241,a866)),f326(f326(f42(a872,f880(x100241,a866)),f326(f296(a872,f2(a872)),f400(x100243,x100244,x100242,x100241))),x100242)),f326(f326(f42(a872,f880(x100241,a866)),f326(f296(a872,f2(a872)),f326(f326(f81(a872),f400(x100243,x100244,x100242,x100241)),x100244))),x100243)))
% 149.08/148.75 [10121]~P103(f326(f326(f328(x101212),x101214),f326(f257(x101211,x101212),x101213)))+P103(f326(f256(x101211,x101212,f326(f326(f7(x101211,f880(f879(x101211,x101212),a866),f880(x101212,a866)),f326(f326(f8(f880(x101212,f880(f880(f879(x101211,x101212),a866),a866)),f880(f880(f879(x101211,x101212),a866),f880(x101212,a866)),x101211),f7(x101212,f880(f879(x101211,x101212),a866),a866)),f326(f326(f8(f880(x101212,f879(x101211,x101212)),f880(x101212,f880(f880(f879(x101211,x101212),a866),a866)),x101211),f326(f8(f879(x101211,x101212),f880(f880(f879(x101211,x101212),a866),a866),x101212),f328(f879(x101211,x101212)))),f261(x101211,x101212)))),x101213)),x101214))
% 149.08/148.75 [10122]~P103(f326(f326(f328(x101221),x101224),f326(f259(x101221,x101222),x101223)))+P103(f326(f255(x101221,x101222,f326(f326(f7(x101221,f880(f879(x101221,x101222),a866),f880(x101222,a866)),f326(f326(f8(f880(x101222,f880(f880(f879(x101221,x101222),a866),a866)),f880(f880(f879(x101221,x101222),a866),f880(x101222,a866)),x101221),f7(x101222,f880(f879(x101221,x101222),a866),a866)),f326(f326(f8(f880(x101222,f879(x101221,x101222)),f880(x101222,f880(f880(f879(x101221,x101222),a866),a866)),x101221),f326(f8(f879(x101221,x101222),f880(f880(f879(x101221,x101222),a866),a866),x101222),f328(f879(x101221,x101222)))),f261(x101221,x101222)))),x101223)),x101224))
% 149.08/148.75 [10133]P103(f326(f326(f328(x101331),x101332),f326(f257(x101333,x101331),x101334)))+~P103(f326(f256(x101333,x101331,f326(f326(f7(x101333,f880(f879(x101333,x101331),a866),f880(x101331,a866)),f326(f326(f8(f880(x101331,f880(f880(f879(x101333,x101331),a866),a866)),f880(f880(f879(x101333,x101331),a866),f880(x101331,a866)),x101333),f7(x101331,f880(f879(x101333,x101331),a866),a866)),f326(f326(f8(f880(x101331,f879(x101333,x101331)),f880(x101331,f880(f880(f879(x101333,x101331),a866),a866)),x101333),f326(f8(f879(x101333,x101331),f880(f880(f879(x101333,x101331),a866),a866),x101331),f328(f879(x101333,x101331)))),f261(x101333,x101331)))),x101334)),x101332))
% 149.08/148.75 [10134]P103(f326(f326(f328(x101341),x101342),f326(f259(x101341,x101343),x101344)))+~P103(f326(f255(x101341,x101343,f326(f326(f7(x101341,f880(f879(x101341,x101343),a866),f880(x101343,a866)),f326(f326(f8(f880(x101343,f880(f880(f879(x101341,x101343),a866),a866)),f880(f880(f879(x101341,x101343),a866),f880(x101343,a866)),x101341),f7(x101343,f880(f879(x101341,x101343),a866),a866)),f326(f326(f8(f880(x101343,f879(x101341,x101343)),f880(x101343,f880(f880(f879(x101341,x101343),a866),a866)),x101341),f326(f8(f879(x101341,x101343),f880(f880(f879(x101341,x101343),a866),a866),x101343),f328(f879(x101341,x101343)))),f261(x101341,x101343)))),x101344)),x101342))
% 149.08/148.75 [9820]P103(f326(f156(x98201,x98202),x98203))+~P103(f326(f156(x98201,f326(f326(f18(x98201,a866,a866),f326(f326(f8(a866,f880(a866,a866),x98201),a324),x98204)),x98202)),x98203))
% 149.08/148.75 [9821]P103(f326(f156(x98211,x98212),x98213))+~P103(f326(f156(x98211,f326(f326(f18(x98211,a866,a866),f326(f326(f8(a866,f880(a866,a866),x98211),a324),x98212)),x98214)),x98213))
% 149.08/148.75 [9906]~P114(x99061)+E(f326(f326(f82(x99061),f326(f326(f81(x99061),f79(x99061)),f79(x99061))),f326(f326(f6(a872,x99061),f326(f326(f8(x99061,x99061,a872),f326(f81(x99061),x99062)),f326(f326(f7(a872,x99061,x99061),f326(f326(f8(x99061,f880(x99061,x99061),a872),f82(x99061)),f105(x99061))),x99063))),f326(f247(a872),x99064))),f326(f326(f82(x99061),f326(f105(x99061),x99064)),f326(f326(f81(x99061),x99062),f326(f326(f81(x99061),x99062),f326(f326(f82(x99061),f326(f105(x99061),f326(f326(f22(a872),x99064),f79(a872)))),x99063)))))
% 149.08/148.75 [10046]P103(f326(x100461,f569(x100462,x100463,x100464,x100461)))+P37(x100462,f326(f246(f879(x100462,x100462)),f326(f265(x100462,x100462,a866),f326(f326(f8(f880(x100462,a866),f880(x100462,a866),x100462),f326(f18(x100462,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100462),a324),x100461))),f326(f326(f7(x100462,f880(x100462,x100462),f880(x100462,a866)),f326(f326(f8(f880(x100462,a866),f880(f880(x100462,x100462),f880(x100462,a866)),x100462),f8(x100462,a866,x100462)),a323)),x100463)))))
% 149.08/148.75 [10060]~P103(f326(f326(f241(a872),f326(x100604,f326(x100603,f569(x100601,x100603,x100604,x100602)))),f326(x100604,f569(x100601,x100603,x100604,x100602))))+P37(x100601,f326(f246(f879(x100601,x100601)),f326(f265(x100601,x100601,a866),f326(f326(f8(f880(x100601,a866),f880(x100601,a866),x100601),f326(f18(x100601,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100601),a324),x100602))),f326(f326(f7(x100601,f880(x100601,x100601),f880(x100601,a866)),f326(f326(f8(f880(x100601,a866),f880(f880(x100601,x100601),f880(x100601,a866)),x100601),f8(x100601,a866,x100601)),a323)),x100603)))))
% 149.08/148.75 [10160]~P103(f326(f326(f328(f879(x101601,x101601)),f326(f326(f261(x101601,x101601),x101603),x101604)),f326(f326(f115(f880(f879(x101601,x101601),a866)),x101602),f302(x101601,f190(f880(f879(x101601,x101601),a866))))))+P103(f326(f326(f326(f326(f115(f880(x101601,f880(x101601,a866))),f326(f326(f7(x101601,f880(f879(x101601,x101601),a866),f880(x101601,a866)),f326(f326(f8(f880(x101601,f880(f880(f879(x101601,x101601),a866),a866)),f880(f880(f879(x101601,x101601),a866),f880(x101601,a866)),x101601),f7(x101601,f880(f879(x101601,x101601),a866),a866)),f326(f326(f8(f880(x101601,f879(x101601,x101601)),f880(x101601,f880(f880(f879(x101601,x101601),a866),a866)),x101601),f326(f8(f879(x101601,x101601),f880(f880(f879(x101601,x101601),a866),a866),x101601),f328(f879(x101601,x101601)))),f261(x101601,x101601)))),x101602)),a323),x101603),x101604))
% 149.08/148.75 [10170]P103(f326(f326(f328(f879(x101701,x101701)),f326(f326(f261(x101701,x101701),x101702),x101703)),f326(f326(f115(f880(f879(x101701,x101701),a866)),x101704),f302(x101701,f190(f880(f879(x101701,x101701),a866))))))+~P103(f326(f326(f326(f326(f115(f880(x101701,f880(x101701,a866))),f326(f326(f7(x101701,f880(f879(x101701,x101701),a866),f880(x101701,a866)),f326(f326(f8(f880(x101701,f880(f880(f879(x101701,x101701),a866),a866)),f880(f880(f879(x101701,x101701),a866),f880(x101701,a866)),x101701),f7(x101701,f880(f879(x101701,x101701),a866),a866)),f326(f326(f8(f880(x101701,f879(x101701,x101701)),f880(x101701,f880(f880(f879(x101701,x101701),a866),a866)),x101701),f326(f8(f879(x101701,x101701),f880(f880(f879(x101701,x101701),a866),a866),x101701),f328(f879(x101701,x101701)))),f261(x101701,x101701)))),x101704)),a323),x101702),x101703))
% 149.08/148.75 [10032]~P106(x100323)+E(f91(x100321,f326(f326(f18(x100321,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100321),a324),x100322)),f326(f326(f8(f880(x100321,a866),a866,x100321),f89(x100321)),f326(f326(f8(f880(x100321,a866),f880(x100321,a866),x100321),f326(f18(x100321,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100321),a329),x100322))),f326(f326(f8(x100323,f880(x100321,a866),x100321),f326(f7(x100321,x100323,a866),f326(f326(f8(x100323,f880(x100323,a866),x100321),f240(x100323)),x100324))),x100324))))),f326(f94(x100321,x100323,x100324),x100322))
% 149.08/148.75 [10075]~P106(x100753)+E(f91(x100751,f326(f326(f18(x100751,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100751),a324),x100752)),f326(f326(f8(f880(x100751,a866),a866,x100751),f89(x100751)),f326(f326(f8(f880(x100751,a866),f880(x100751,a866),x100751),f326(f18(x100751,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100751),a329),x100752))),f326(f326(f7(x100751,f880(x100751,x100753),f880(x100751,a866)),f326(f326(f8(f880(x100753,a866),f880(f880(x100751,x100753),f880(x100751,a866)),x100751),f8(x100753,a866,x100751)),f326(f326(f8(x100753,f880(x100753,a866),x100751),f240(x100753)),x100754))),x100754))))),f97(x100751,x100753,x100754,x100752))
% 149.08/148.75 [10119]E(f326(f326(f147(f873(x101191)),f326(f326(f147(x101191),x101192),f326(f138(f873(x101191),f873(x101191),f126(x101191),f118(x101191)),f326(f326(f150(f873(x101191),f873(x101191)),f152(f873(x101191),x101191,f118(x101191),f326(f326(f8(f873(x101191),f880(f873(x101191),f873(x101191)),x101191),f16(f873(x101191),f873(x101191))),f326(f326(f7(x101191,f873(x101191),f873(x101191)),f147(x101191)),f118(x101191))))),x101193)))),f176(x101191,f326(f326(f147(f873(x101191)),x101194),f326(f138(f873(f873(x101191)),f873(f873(x101191)),f126(f873(x101191)),f118(f873(x101191))),f326(f326(f150(f873(x101191),f873(f873(x101191))),f152(f873(f873(x101191)),x101191,f118(f873(x101191)),f326(f16(f880(f873(x101191),f873(f873(x101191))),x101191),f326(f326(f7(f873(x101191),f873(f873(x101191)),f873(f873(x101191))),f147(f873(x101191))),f118(f873(x101191)))))),x101193))))),f176(x101191,f326(f326(f147(f873(x101191)),f326(f326(f147(x101191),x101192),x101194)),x101193)))+~P103(f326(f314(f873(f873(x101191)),f177(x101191)),f326(f326(f147(f873(x101191)),f326(f326(f147(x101191),x101192),x101194)),x101193)))
% 149.08/148.75 [10159]~P103(f326(f62(x101592),f326(f246(x101592),x101594)))+P103(f326(f62(x101591),f326(f246(x101591),f326(f326(f8(f880(x101592,a866),a866,x101591),f88(x101592)),f326(f326(f7(x101591,f880(x101592,a866),f880(x101592,a866)),f326(f326(f8(f880(x101592,f880(a866,a866)),f880(f880(x101592,a866),f880(x101592,a866)),x101591),f18(x101592,a866,a866)),f326(f326(f8(f880(x101592,a866),f880(x101592,f880(a866,a866)),x101591),f326(f8(a866,f880(a866,a866),x101592),a324)),f326(f326(f7(x101591,f880(x101592,x101591),f880(x101592,a866)),f326(f326(f8(f880(x101591,a866),f880(f880(x101592,x101591),f880(x101592,a866)),x101591),f8(x101591,a866,x101592)),a323)),x101593)))),x101594)))))
% 149.08/148.75 [5251]E(x52511,x52512)+~E(f127(x52513,x52514,x52511),f127(x52513,x52515,x52512))
% 149.08/148.75 [5252]E(x52521,x52522)+~E(f127(x52523,x52521,x52524),f127(x52523,x52522,x52525))
% 149.08/148.75 [5628]E(f326(f326(f304(x56281),x56282),f180(x56281,x56283,x56284)),f180(x56281,x56283,x56284))+~E(f326(x56284,x56282),f326(f233(x56283),x56285))
% 149.08/148.75 [6038]P103(f326(f256(x60381,x60382,x60383),x60384))+~P103(f326(f326(x60383,x60385),x60384))
% 149.08/148.75 [6040]P103(f326(f255(x60401,x60402,x60403),x60404))+~P103(f326(f326(x60403,x60404),x60405))
% 149.08/148.75 [6043]~E(f326(x60434,x60432),f326(f233(x60433),x60435))+P103(f326(f326(f328(x60431),x60432),f180(x60431,x60433,x60434)))
% 149.08/148.75 [6044]~E(f326(x60444,x60445),f326(f233(x60441),x60442))+P103(f326(f326(f328(x60441),x60442),f182(x60443,x60441,x60444)))
% 149.08/148.75 [6509]~E(x65095,f2(a104))+E(f326(f201(x65091,x65092,x65093,x65094),x65095),f128(x65092))
% 149.08/148.75 [6510]~E(x65105,f2(a104))+E(f326(f203(x65101,x65102,x65103,x65104),x65105),f120(x65102))
% 149.08/148.75 [6646]~E(x66463,f2(a104))+E(f326(f275(x66461,x66462,x66463,x66464),x66465),f326(f261(x66461,x66462),x66465))
% 149.08/148.75 [6718]~E(f326(x67184,x67185),f193(x67182))+E(f326(f235(f876(x67181),x67182,f193(x67181),x67183),f326(x67184,x67185)),f193(x67181))
% 149.08/148.75 [7342]E(f326(x73421,x73422),f193(x73423))+~E(f326(f181(x73424,x73423,x73425,x73421),x73422),f193(x73423))
% 149.08/148.75 [7343]E(f326(x73431,x73432),f193(x73433))+~E(f326(f181(x73434,x73433,x73431,x73435),x73432),f193(x73433))
% 149.08/148.75 [7379]E(f326(f181(x73791,x73792,x73793,x73794),x73795),f326(x73793,x73795))+P103(f326(f326(f328(x73791),x73795),f180(x73791,x73792,x73794)))
% 149.08/148.75 [7380]E(f326(f181(x73801,x73802,x73803,x73804),x73805),f326(x73804,x73805))+P103(f326(f326(f328(x73801),x73805),f180(x73801,x73802,x73803)))
% 149.08/148.75 [7701]~P16(x77014,x77011,x77012,x77015)+E(f326(f74(x77011,x77011,x77011,f326(x77012,x77013)),f326(x77012,x77013)),f326(x77012,x77013))
% 149.08/148.75 [7745]E(f326(f181(x77451,x77452,x77453,x77454),x77455),f326(x77454,x77455))+~P103(f326(f326(f328(x77451),x77455),f180(x77451,x77452,x77454)))
% 149.08/148.75 [8093]~P12(x80935,x80931,x80932)+E(f326(f74(x80931,x80931,x80931,f326(x80932,x80933)),f326(x80932,x80934)),f326(f74(x80931,x80931,x80931,f326(x80932,x80934)),f326(x80932,x80933)))
% 149.08/148.75 [8423]P103(f326(f326(f328(f879(x84231,x84231)),f326(f326(f261(x84231,x84231),x84232),x84233)),f320(x84231,x84234,x84235)))+~P103(f326(f326(f241(a872),f326(x84234,x84232)),f326(x84234,x84233)))
% 149.08/148.75 [8522]~P103(f326(f326(f328(x85224),x85223),f290(x85224,x85221,x85222,x85225)))+P103(f326(f326(x85221,x85222),x85223))
% 149.08/148.75 [8523]~P103(f326(f326(f328(x85234),x85233),f293(x85234,x85231,x85232,x85235)))+P103(f326(f326(x85231,x85232),x85233))
% 149.08/148.75 [8524]~P103(f326(f326(f328(x85244),x85242),f290(x85244,x85241,x85245,x85243)))+P103(f326(f326(x85241,x85242),x85243))
% 149.08/148.75 [8525]~P103(f326(f326(f328(x85254),x85252),f293(x85254,x85251,x85255,x85253)))+P103(f326(f326(x85251,x85252),x85253))
% 149.08/148.75 [8663]~P52(x86632,x86631,x86635,x86633,x86634)+E(f326(f305(x86631,x86632,x86633),x86634),f249(f880(x86632,a866)))
% 149.08/148.75 [9102]~P34(x91021,x91022,x91023,x91024,x91025)+P34(x91021,x91022,x91023,f326(f165(x91021),x91024),f326(f165(x91022),x91025))
% 149.08/148.75 [9104]~P34(x91041,x91042,x91043,f326(f165(x91041),x91044),x91045)+P34(x91041,x91042,x91043,x91044,f326(f165(x91042),x91045))
% 149.08/148.75 [9105]~P34(x91051,x91052,x91053,x91054,f326(f165(x91052),x91055))+P34(x91051,x91052,x91053,f326(f165(x91051),x91054),x91055)
% 149.08/148.75 [9111]P34(x91111,x91112,x91113,x91114,x91115)+~P34(x91111,x91112,x91113,f326(f165(x91111),x91114),f326(f165(x91112),x91115))
% 149.08/148.75 [9506]P103(f326(f326(f328(f879(f873(x95061),f873(x95061))),f326(f326(f261(f873(x95061),f873(x95061)),f326(f326(f147(x95061),x95062),x95063)),f326(f326(f147(x95061),x95062),x95064))),f153(x95061,x95065)))+~P103(f326(f326(f328(f879(f873(x95061),f873(x95061))),f326(f326(f261(f873(x95061),f873(x95061)),x95063),x95064)),f153(x95061,x95065)))
% 149.08/148.75 [9507]P103(f326(f326(f328(f879(f873(x95071),f873(x95071))),f326(f326(f261(f873(x95071),f873(x95071)),f326(f326(f126(x95071),x95072),x95073)),f326(f326(f126(x95071),x95072),x95074))),f143(x95071,x95075)))+~P103(f326(f326(f328(f879(f873(x95071),f873(x95071))),f326(f326(f261(f873(x95071),f873(x95071)),x95073),x95074)),f143(x95071,x95075)))
% 149.08/148.75 [9696]E(f326(f326(f147(x96961),f679(x96962,x96963,x96964,x96965,x96961)),f682(x96962,x96963,x96964,x96965,x96961)),x96965)+~P103(f326(f326(f328(f879(f873(x96961),f873(x96961))),f326(f326(f261(f873(x96961),f873(x96961)),x96965),f326(f326(f147(x96961),x96964),x96963))),f154(x96961,x96962)))
% 149.08/148.75 [9718]E(f326(f326(f147(x97181),f680(x97182,x97183,x97184,x97185,x97181)),f681(x97182,x97183,x97184,x97185,x97181)),x97183)+~P103(f326(f326(f328(f879(f873(x97181),f873(x97181))),f326(f326(f261(f873(x97181),f873(x97181)),f326(f326(f147(x97181),x97185),x97184)),x97183)),f154(x97181,x97182)))
% 149.08/148.75 [9880]~P103(f326(f326(f328(f879(f873(x98801),f873(x98801))),f326(f326(f261(f873(x98801),f873(x98801)),f326(f326(f147(x98801),x98805),x98802)),x98804)),f154(x98801,x98803)))+P103(f326(f326(f328(f879(f873(x98801),f873(x98801))),f326(f326(f261(f873(x98801),f873(x98801)),x98802),f681(x98803,x98804,x98802,x98805,x98801))),f154(x98801,x98803)))
% 149.08/148.75 [9950]~P103(f326(f326(f328(f879(f873(x99501),f873(x99501))),f326(f326(f261(f873(x99501),f873(x99501)),x99505),f326(f326(f147(x99501),x99504),x99503))),f154(x99501,x99502)))+P103(f326(f326(f328(f879(f873(x99501),f873(x99501))),f326(f326(f261(f873(x99501),f873(x99501)),f682(x99502,x99503,x99504,x99505,x99501)),x99503)),f154(x99501,x99502)))
% 149.08/148.75 [10114]P103(f326(f326(f328(f879(x101141,x101141)),f326(f326(f261(x101141,x101141),f326(x101142,f326(f326(f81(a872),x101143),x101144))),f326(x101142,x101143))),f302(x101141,x101145)))+~P103(f326(f326(f328(f879(x101141,x101141)),f326(f326(f261(x101141,x101141),f326(x101142,f326(a117,f636(x101144,x101143,x101145,x101142,x101141)))),f326(x101142,f636(x101144,x101143,x101145,x101142,x101141)))),f302(x101141,x101145)))
% 149.08/148.75 [5214]E(x52141,x52142)+~E(f326(f326(f147(x52143),x52144),x52141),f326(f326(f147(x52143),x52145),x52142))
% 149.08/148.75 [5215]E(x52151,x52152)+~E(f326(f326(f147(x52153),x52151),x52154),f326(f326(f147(x52153),x52152),x52155))
% 149.08/148.75 [5268]P103(f326(x52681,x52682))+~E(f326(f132(x52683,x52681),x52684),f326(f326(f147(x52683),x52682),x52685))
% 149.08/148.75 [5269]P103(f326(x52691,x52692))+~E(f326(f326(f147(x52693),x52692),x52694),f326(f132(x52693,x52691),x52695))
% 149.08/148.75 [5426]~E(f326(f326(f134(x54261),x54263),x54262),f326(f326(f147(x54261),x54264),x54265))+E(f326(f326(f161(x54261),x54262),x54263),x54264)
% 149.08/148.75 [5559]~P11(x55594,x55595,x55591)+E(f326(f326(x55591,x55592),f326(f326(x55591,x55592),x55593)),f326(f326(x55591,x55592),x55593))
% 149.08/148.75 [6096]~E(x60964,f2(a104))+E(f326(f326(f122(x60961,x60962,x60963),x60964),x60965),f326(f326(f261(f873(x60962),x60961),f118(x60962)),x60965))
% 149.08/148.75 [6168]~P105(x61682)+~E(f326(f326(f144(x61681,x61682,x61683),x61684),x61685),f118(x61681))
% 149.08/148.75 [6546]E(x65461,x65462)+~E(f326(f326(f126(x65463),x65464),f326(f326(f147(x65463),x65461),f118(x65463))),f326(f326(f126(x65463),x65465),f326(f326(f147(x65463),x65462),f118(x65463))))
% 149.08/148.75 [6547]E(x65471,x65472)+~E(f326(f326(f126(x65473),x65471),f326(f326(f147(x65473),x65474),f118(x65473))),f326(f326(f126(x65473),x65472),f326(f326(f147(x65473),x65475),f118(x65473))))
% 149.08/148.75 [6801]E(f326(f184(x68011,x68012,x68013,x68014),x68015),f193(x68012))+P103(f326(f326(f328(x68011),x68015),x68014))
% 149.08/148.75 [6863]E(f326(f326(f304(x68631),f326(x68632,x68633)),f326(f305(x68634,x68631,x68632),x68635)),f326(f305(x68634,x68631,x68632),x68635))+~P103(f326(f326(f328(x68634),x68633),x68635))
% 149.08/148.75 [6870]~P103(f326(x68704,f326(x68703,x68705)))+P103(f326(f326(f306(x68701,x68702,x68703),x68704),x68705))
% 149.08/148.75 [6873]~P103(f326(f326(x68733,x68735),x68734))+P103(f326(f326(f250(x68731,x68732,x68733),x68734),x68735))
% 149.08/148.75 [6968]~E(f326(f305(x69681,x69682,x69683),x69684),x69685)+E(f326(f305(f880(x69681,a866),f880(x69682,a866),f305(x69681,x69682,x69683)),f326(f303(x69681),x69684)),f326(f303(x69682),x69685))
% 149.08/148.75 [7000]E(f326(f184(x70001,x70002,x70003,x70004),x70005),f326(x70003,x70005))+~P103(f326(f326(f328(x70001),x70005),x70004))
% 149.08/148.75 [7299]P21(x72991,x72992,x72993,x72994)+~P21(x72991,x72992,x72993,f326(f326(f304(x72991),x72995),x72994))
% 149.08/148.75 [7369]P103(f326(x73691,x73692))+~P103(f326(f326(f96(x73693,x73694,x73691),x73695),x73692))
% 149.08/148.75 [7413]~P103(f326(f326(f328(x74134),x74133),x74135))+P103(f326(f326(f328(x74131),f326(x74132,x74133)),f326(f305(x74134,x74131,x74132),x74135)))
% 149.08/148.75 [7437]~P105(x74372)+E(f146(x74371,x74372,x74373,f326(f132(x74371,x74374),x74375)),f326(f132(x74371,x74374),f146(x74371,x74372,x74373,x74375)))
% 149.08/148.75 [7470]P103(f326(x74701,f326(x74702,x74703)))+~P103(f326(f326(f306(x74704,x74705,x74702),x74701),x74703))
% 149.08/148.75 [7473]P103(f326(f326(x74731,x74732),x74733))+~P103(f326(f326(f250(x74734,x74735,x74731),x74733),x74732))
% 149.08/148.75 [7474]P103(f326(f326(x74741,x74742),x74743))+~P103(f326(f326(f96(x74744,x74741,x74745),x74742),x74743))
% 149.08/148.75 [7537]~P103(f326(f326(f328(x75373),f326(x75374,x75372)),x75375))+P103(f326(f326(f328(x75371),x75372),f326(f306(x75371,x75373,x75374),x75375)))
% 149.08/148.75 [7931]~P103(f326(f326(f328(x79315),x79313),f326(f306(x79315,x79311,x79312),x79314)))+P103(f326(f326(f328(x79311),f326(x79312,x79313)),x79314))
% 149.08/148.75 [8159]~E(x81593,f326(f326(f326(f73(x81591,f876(x81592)),f326(f16(f876(x81592),x81591),f193(x81592))),x81594),f326(f233(x81592),x81595)))+E(f180(x81591,x81592,x81593),f326(f326(f304(x81591),x81594),f190(f880(x81591,a866))))
% 149.08/148.75 [8239]~P12(x82392,x82391,x82393)+E(f326(f138(x82391,x82392,f326(f7(x82392,x82391,x82391),x82393),x82394),f148(x82392,x82395)),f326(f326(f65(x82392,x82391,x82393),x82394),f326(f168(x82392),x82395)))
% 149.08/148.75 [8258]E(f326(x82581,f617(x82582,x82581,x82583,x82584)),x82584)+~P103(f326(f326(f328(x82585),x82584),f326(f305(x82583,x82585,x82581),x82582)))
% 149.08/148.75 [8568]~E(x85682,f326(f326(f147(x85681),x85684),x85685))+P103(f326(f326(f328(f879(f873(x85681),f873(x85681))),f326(f326(f261(f873(x85681),f873(x85681)),f118(x85681)),x85682)),f143(x85681,x85683)))
% 149.08/148.75 [8621]~P34(x86211,x86213,x86215,x86212,x86214)+E(f326(f191(f873(x86211)),x86212),f326(f191(f873(x86213)),x86214))
% 149.08/148.75 [8631]P103(f326(f326(f240(f880(x86311,a866)),f326(f326(f43(x86312,f880(x86311,a866)),x86313),x86314)),f326(x86314,x86315)))+~P103(f326(f326(f328(x86312),x86315),x86313))
% 149.08/148.75 [8679]~P52(x86791,x86792,x86793,x86795,x86794)+E(f326(f305(x86791,x86792,x86793),f249(f880(x86791,a866))),x86794)
% 149.08/148.75 [8886]E(f326(f326(f326(f73(x88861,f876(x88862)),f184(x88861,x88862,x88863,x88864)),x88865),f193(x88862)),f184(x88861,x88862,x88863,x88864))+P103(f326(f326(f328(x88861),x88865),x88864))
% 149.08/148.75 [8891]E(f326(f132(x88911,x88912),f778(x88913,x88914,x88915,x88912,x88911)),x88913)+~E(f326(f132(x88911,x88912),x88915),f326(f326(f147(x88911),x88914),x88913))
% 149.08/148.75 [8892]E(f326(f132(x88921,x88922),f779(x88923,x88922,x88924,x88925,x88921)),x88924)+~E(f326(f326(f147(x88921),x88925),x88924),f326(f132(x88921,x88922),x88923))
% 149.08/148.75 [8893]E(f326(x88931,f822(x88932,x88933,x88931,x88934,x88935)),x88932)+~E(f326(f326(f204(x88935,x88934),x88931),x88933),f326(f233(x88934),x88932))
% 149.08/148.75 [8897]E(f326(f233(x88971),f822(x88972,x88973,x88974,x88975,x88971)),x88973)+~E(f326(f326(f204(x88971,x88975),x88974),x88973),f326(f233(x88975),x88972))
% 149.08/148.75 [8994]E(f326(f191(f873(x89941)),x89942),x89943)+~P103(f326(f326(f328(f879(f873(x89941),f873(x89941))),f326(f326(f261(f873(x89941),f873(x89941)),x89944),x89942)),f326(f139(x89941,x89945),x89943)))
% 149.08/148.75 [8995]E(f326(f191(f873(x89951)),x89952),x89953)+~P103(f326(f326(f328(f879(f873(x89951),f873(x89951))),f326(f326(f261(f873(x89951),f873(x89951)),x89952),x89954)),f326(f139(x89951,x89955),x89953)))
% 149.08/148.75 [9062]P103(f326(f326(f328(x90621),f617(x90622,x90623,x90621,x90624)),x90622))+~P103(f326(f326(f328(x90625),x90624),f326(f305(x90621,x90625,x90623),x90622)))
% 149.08/148.75 [9223]E(f326(f305(x92231,x92232,x92233),f628(x92234,x92233,x92231,x92235,x92232)),x92235)+~P103(f326(f326(f240(f880(x92232,a866)),x92235),f326(f305(x92231,x92232,x92233),x92234)))
% 149.08/148.75 [9476]E(f326(x94761,f842(x94762,x94761,x94763,x94764,x94765)),f326(f233(x94765),x94764))+~P103(f326(f326(f328(x94765),x94764),f182(x94763,x94765,f184(x94763,x94765,x94761,x94762))))
% 149.08/148.75 [9522]P103(f326(f326(f328(f879(f873(x95221),f873(x95221))),f326(f326(f261(f873(x95221),f873(x95221)),f326(f326(f147(x95221),x95222),x95223)),f326(f326(f147(x95221),x95222),x95224))),f302(f873(x95221),f153(x95221,x95225))))+~P103(f326(f326(f328(f879(f873(x95221),f873(x95221))),f326(f326(f261(f873(x95221),f873(x95221)),x95223),x95224)),f302(f873(x95221),f153(x95221,x95225))))
% 149.08/148.75 [9553]~E(f326(x95533,f670(x95535,x95534,x95533,x95532,x95531)),f326(x95535,f670(x95535,x95534,x95533,x95532,x95531)))+E(f326(f326(f150(x95531,x95532),x95533),x95534),f326(f326(f150(x95531,x95532),x95535),x95534))
% 149.08/148.75 [9629]~E(f326(f132(x96291,x96295),x96294),f326(f326(f147(x96291),x96293),x96292))+E(f326(f326(f126(x96291),f784(x96292,x96293,x96294,x96295,x96291)),f326(f326(f147(x96291),x96293),f778(x96292,x96293,x96294,x96295,x96291))),x96294)
% 149.08/148.75 [9630]~E(f326(f326(f147(x96301),x96305),x96304),f326(f132(x96301,x96303),x96302))+E(f326(f326(f126(x96301),f782(x96302,x96303,x96304,x96305,x96301)),f326(f326(f147(x96301),x96305),f779(x96302,x96303,x96304,x96305,x96301))),x96302)
% 149.08/148.75 [9634]E(f326(f326(f150(x96341,x96342),x96343),x96344),f326(f326(f150(x96341,x96342),x96345),x96344))+P103(f326(f326(f328(x96341),f670(x96343,x96344,x96345,x96342,x96341)),f326(f168(x96341),x96344)))
% 149.08/148.75 [9664]~P103(f326(f326(f328(x96645),x96644),f326(f280(x96641,x96645,x96643),x96642)))+P103(f326(f326(f328(x96641),f533(x96642,x96643,x96641,x96644,x96645)),x96642))
% 149.08/148.75 [9665]~P103(f326(f326(f328(x96655),x96654),f326(f280(x96651,x96655,x96653),x96652)))+P103(f326(f326(f328(x96651),f539(x96652,x96653,x96651,x96654,x96655)),x96652))
% 149.08/148.75 [9690]~P103(f326(f326(f240(f880(x96905,a866)),x96904),f326(f305(x96901,x96905,x96903),x96902)))+P103(f326(f326(f240(f880(x96901,a866)),f628(x96902,x96903,x96901,x96904,x96905)),x96902))
% 149.08/148.75 [9741]~P103(f326(f326(f328(x97415),x97414),f182(x97411,x97415,f184(x97411,x97415,x97413,x97412))))+P103(f326(f326(f328(x97411),f842(x97412,x97413,x97411,x97414,x97415)),x97412))
% 149.08/148.75 [10136]E(x101361,f2(a104))+E(f326(f235(f879(f873(x101362),x101363),f879(x101362,x101363),f326(f326(f261(f873(x101362),x101363),f118(x101362)),x101364),f326(f265(x101362,x101363,f879(f873(x101362),x101363)),f326(f326(f7(x101362,f880(x101363,f879(f873(x101362),x101363)),f880(x101363,f879(f873(x101362),x101363))),f326(f326(f8(f880(f879(f873(x101362),x101363),f879(f873(x101362),x101363)),f880(f880(x101363,f879(f873(x101362),x101363)),f880(x101363,f879(f873(x101362),x101363))),x101362),f8(f879(f873(x101362),x101363),f879(f873(x101362),x101363),x101363)),f326(f326(f8(f880(f873(x101362),f880(x101363,f879(f873(x101362),x101363))),f880(f879(f873(x101362),x101363),f879(f873(x101362),x101363)),x101362),f265(f873(x101362),x101363,f879(f873(x101362),x101363))),f326(f326(f8(f880(f873(x101362),f873(x101362)),f880(f873(x101362),f880(x101363,f879(f873(x101362),x101363))),x101362),f326(f8(f873(x101362),f880(x101363,f879(f873(x101362),x101363)),f873(x101362)),f261(f873(x101362),x101363))),f147(x101362))))),f326(f122(x101363,x101362,x101365),f326(f326(f22(a104),x101361),f79(a104)))))),f326(x101365,x101364)),f326(f326(f122(x101363,x101362,x101365),x101361),x101364))
% 149.08/148.75 [5439]~E(f326(x54393,x54394),x54395)+E(f326(f326(f326(f73(x54391,x54392),x54393),x54394),x54395),x54393)
% 149.08/148.75 [5880]E(f326(x58801,x58802),x58803)+~E(f326(f326(f326(f73(x58804,x58805),x58801),x58802),x58803),x58801)
% 149.08/148.75 [5976]E(x59761,x59762)+~E(f326(f264(x59763,x59764),f326(f326(f261(x59763,x59764),x59765),x59761)),x59762)
% 149.08/148.75 [5977]E(x59771,x59772)+~E(f326(f260(x59773,x59774),f326(f326(f261(x59773,x59774),x59771),x59775)),x59772)
% 149.08/148.75 [6242]~E(x62423,f326(f326(f126(x62421),x62424),f326(f326(f147(x62421),x62422),x62425)))+P103(f326(f326(f328(x62421),x62422),f326(f168(x62421),x62423)))
% 149.08/148.75 [6633]E(f326(f305(x66331,x66332,f326(f16(x66332,x66331),x66333)),x66334),f326(f326(f304(x66332),x66333),f190(f880(x66332,a866))))+~P103(f326(f326(f328(x66331),x66335),x66334))
% 149.08/148.75 [6703]E(f326(f326(f115(f880(x67031,a866)),f326(f168(x67031),x67032)),f326(f168(x67031),x67033)),f326(f168(x67031),x67034))+~E(f163(x67031,x67035,x67034),f326(f326(f261(f873(x67031),f873(x67031)),x67032),x67033))
% 149.08/148.75 [6805]~P105(x68052)+E(f326(f191(f873(x68051)),f326(f326(f144(x68051,x68052,x68053),x68054),x68055)),f326(a117,f326(f191(f873(x68051)),x68055)))
% 149.08/148.75 [6817]~P105(x68172)+E(f326(f168(x68171),f326(f326(f144(x68171,x68172,x68173),x68174),x68175)),f326(f326(f304(x68171),x68174),f326(f168(x68171),x68175)))
% 149.08/148.75 [7091]~P114(x70911)+E(f326(f326(f81(x70911),f326(f326(f81(x70911),x70912),x70913)),f326(f326(f81(x70911),x70914),x70915)),f326(f326(f81(x70911),f326(f326(f81(x70911),x70912),x70914)),f326(f326(f81(x70911),x70913),x70915)))
% 149.08/148.75 [7092]~P114(x70921)+E(f326(f326(f82(x70921),f326(f326(f82(x70921),x70922),x70923)),f326(f326(f82(x70921),x70924),x70925)),f326(f326(f82(x70921),f326(f326(f82(x70921),x70922),x70924)),f326(f326(f82(x70921),x70923),x70925)))
% 149.08/148.75 [7093]~P59(x70931)+E(f326(f326(f284(x70931),f326(f326(f82(x70931),x70932),x70933)),f326(f326(f82(x70931),x70934),x70935)),f326(f326(f82(x70931),f326(f326(f284(x70931),x70932),x70934)),f326(f326(f284(x70931),x70933),x70935)))
% 149.08/148.75 [7107]~P105(x71071)+E(f297(x71071,f326(f326(f239(x71071),x71072),x71073),f326(f326(f238(x71071),x71074),x71075)),f326(f326(f106(f880(x71071,a866)),f297(x71071,x71072,x71074)),f297(x71071,x71073,x71075)))
% 149.08/148.75 [7108]~P105(x71081)+E(f300(x71081,f326(f326(f239(x71081),x71082),x71083),f326(f326(f238(x71081),x71084),x71085)),f326(f326(f106(f880(x71081,a866)),f300(x71081,x71082,x71084)),f300(x71081,x71083,x71085)))
% 149.08/148.75 [7109]~P105(x71091)+E(f299(x71091,f326(f326(f239(x71091),x71092),x71093),f326(f326(f238(x71091),x71094),x71095)),f326(f326(f106(f880(x71091,a866)),f299(x71091,x71092,x71094)),f299(x71091,x71093,x71095)))
% 149.08/148.75 [7110]~P105(x71101)+E(f326(f326(f106(f880(x71101,a866)),f326(f296(x71101,x71102),x71103)),f326(f296(x71101,x71104),x71105)),f326(f296(x71101,f326(f326(f239(x71101),x71102),x71104)),f326(f326(f238(x71101),x71103),x71105)))
% 149.08/148.75 [7225]~P103(f326(x72251,f513(x72253,x72252,x72251)))+P103(f326(x72251,f326(f326(f261(x72252,x72253),x72254),x72255)))
% 149.08/148.75 [7312]~E(f326(x73123,x73124),f193(x73122))+E(f182(x73121,x73122,f326(f326(f326(f73(x73121,f876(x73122)),x73123),x73124),f326(f233(x73122),x73125))),f326(f326(f304(x73122),x73125),f182(x73121,x73122,x73123)))
% 149.08/148.75 [7333]~E(x73332,f326(x73334,x73335))+P103(f326(f326(f328(x73331),x73332),f326(f305(x73333,x73331,x73334),f249(f880(x73333,a866)))))
% 149.08/148.75 [7391]~E(f326(x73913,x73914),f193(x73912))+E(f326(f326(f22(f880(x73911,a866)),f180(x73911,x73912,x73913)),f326(f326(f304(x73911),x73914),x73915)),f326(f326(f22(f880(x73911,a866)),f180(x73911,x73912,x73913)),x73915))
% 149.08/148.75 [7410]~P12(x74103,x74102,x74104)+P12(x74101,x74102,f326(f326(f8(x74103,f880(x74102,x74102),x74101),x74104),x74105))
% 149.08/148.75 [7411]~P11(x74113,x74112,x74114)+P11(x74111,x74112,f326(f326(f8(x74113,f880(x74112,x74112),x74111),x74114),x74115))
% 149.08/148.75 [7553]~P21(x75531,x75532,x75533,x75534)+P21(x75531,x75532,x75533,f326(f326(f22(f880(x75531,a866)),x75534),x75535))
% 149.08/148.75 [7710]~P103(f326(f326(x77103,x77104),x77105))+P103(f326(f326(f265(x77101,x77102,a866),x77103),f326(f326(f261(x77101,x77102),x77104),x77105)))
% 149.08/148.75 [7820]~P103(f326(x78202,x78204))+~E(f326(f326(f134(x78201),f326(f191(f873(x78201)),f173(x78201,x78202,x78203))),x78203),f326(f326(f147(x78201),x78204),x78205))
% 149.08/148.75 [7840]P21(x78401,x78402,x78403,x78404)+~P21(x78401,x78402,x78403,f326(f326(f115(f880(x78401,a866)),x78405),x78404))
% 149.08/148.75 [7841]P21(x78411,x78412,x78413,x78414)+~P21(x78411,x78412,x78413,f326(f326(f115(f880(x78411,a866)),x78414),x78415))
% 149.08/148.75 [7888]~P105(x78882)+E(f326(f326(f144(x78881,x78882,x78883),x78884),f146(x78881,x78882,x78883,x78885)),f146(x78881,x78882,x78883,f326(f326(f147(x78881),x78884),x78885)))
% 149.08/148.75 [8052]~P29(x80521,f326(a117,x80522),f326(f326(f326(f93(x80521),x80523),f326(a26,x80524)),x80525))+P29(x80521,x80522,f326(f326(f326(f93(x80521),x80523),f326(f237(a868),f326(a28,x80524))),x80525))
% 149.08/148.75 [8186]P29(x81861,f326(a117,x81862),f326(f326(f326(f93(x81861),x81863),f326(a26,x81864)),x81865))+~P29(x81861,x81862,f326(f326(f326(f93(x81861),x81863),f326(f237(a868),f326(a28,x81864))),x81865))
% 149.08/148.75 [8215]~P11(x82152,x82151,x82153)+E(f326(f138(x82151,x82152,f326(f7(x82152,x82151,x82151),x82153),x82154),x82155),f326(f326(f65(x82152,x82151,x82153),x82154),f326(f168(x82152),x82155)))
% 149.08/148.75 [8244]~E(f326(f326(f134(x82441),f326(f191(f873(x82441)),f173(x82441,x82442,x82443))),x82443),f326(f326(f147(x82441),x82444),x82445))+E(f326(f326(f126(x82441),f173(x82441,x82442,x82443)),f326(f326(f147(x82441),x82444),x82445)),x82443)
% 149.08/148.75 [8268]P103(f326(f326(x82681,x82682),x82683))+~P103(f326(f326(f265(x82684,x82685,a866),x82681),f326(f326(f261(x82684,x82685),x82682),x82683)))
% 149.08/148.75 [8331]~E(f326(f326(f174(x83311,x83312),x83315),x83313),f326(f233(x83312),x83314))+P103(f326(f326(f328(f879(x83311,x83312)),f326(f326(f261(x83311,x83312),x83313),x83314)),f326(f168(f879(x83311,x83312)),x83315)))
% 149.08/148.75 [8734]P103(f326(f326(f240(f880(x87341,a866)),f326(f305(x87342,x87341,x87343),x87344)),f326(f305(x87342,x87341,x87343),x87345)))+~P103(f326(f326(f240(f880(x87342,a866)),x87344),x87345))
% 149.08/148.75 [8735]P103(f326(f326(f240(f880(x87351,a866)),f326(f306(x87351,x87352,x87353),x87354)),f326(f306(x87351,x87352,x87353),x87355)))+~P103(f326(f326(f240(f880(x87352,a866)),x87354),x87355))
% 149.08/148.75 [8812]E(x88121,f2(a104))+E(f326(f326(f267(x88122,x88123,x88122,f879(x88123,x88122)),f326(x88124,x88125)),f275(x88123,x88122,f326(f326(f22(a104),x88121),f79(a104)),x88124)),f326(f275(x88123,x88122,x88121,x88124),x88125))
% 149.08/148.75 [9132]P29(x91321,x91322,f326(f326(f326(f93(x91321),x91323),x91324),x91325))+P103(f326(f326(x91323,f825(x91325,x91324,x91323,x91322)),f826(x91325,x91324,x91323,x91322)))
% 149.08/148.75 [9332]E(f326(f233(x93321),f676(x93322,x93323,x93324,x93321,x93325)),f326(f326(f174(x93325,x93321),x93322),x93324))+~P103(f326(f326(f328(f879(x93325,x93321)),f326(f326(f261(x93325,x93321),x93324),x93323)),f326(f168(f879(x93325,x93321)),x93322)))
% 149.08/148.75 [9377]P29(x93771,x93772,f326(f326(f326(f93(x93771),x93773),x93774),x93775))+~P103(f326(f326(x93775,f825(x93775,x93774,x93773,x93772)),f827(x93775,x93774,x93773,x93772)))
% 149.08/148.75 [9436]P29(x94361,x94362,f326(f326(f326(f93(x94361),x94363),x94364),x94365))+P103(f326(f326(f326(f326(a199,x94364),f826(x94365,x94364,x94363,x94362)),x94362),f827(x94365,x94364,x94363,x94362)))
% 149.08/148.75 [9439]~P20(x94391,x94392,f326(f326(f304(f871(x94391)),f326(f326(f326(f93(x94391),x94393),f326(f237(a868),f326(a28,x94394))),x94395)),f190(f880(f871(x94391),a866))))+P20(x94391,x94392,f326(f326(f304(f871(x94391)),f326(f326(f326(f93(x94391),x94393),f326(a26,x94394)),x94395)),f190(f880(f871(x94391),a866))))
% 149.08/148.75 [9467]~P103(f326(f62(x94673),f326(f305(x94672,x94673,x94675),f249(f880(x94672,a866)))))+P103(f326(f62(x94671),f326(f305(x94672,x94671,f326(f326(f8(x94673,x94671,x94672),x94674),x94675)),f249(f880(x94672,a866)))))
% 149.08/148.75 [9489]P103(f326(f326(f240(f880(f880(x94891,a866),a866)),f326(f305(f880(x94892,a866),f880(x94891,a866),f305(x94892,x94891,x94893)),f326(f303(x94892),x94894))),f326(f303(x94891),x94895)))+~P103(f326(f326(f240(f880(x94891,a866)),f326(f305(x94892,x94891,x94893),x94894)),x94895))
% 149.08/148.75 [9502]~P103(f326(f62(f876(x95021)),f326(f305(x95022,f876(x95021),x95023),f249(f880(x95022,a866)))))+P103(f326(f62(f876(x95021)),f326(f305(x95022,f876(x95021),f326(f326(f326(f73(x95022,f876(x95021)),x95023),x95024),f326(f233(x95021),x95025))),f249(f880(x95022,a866)))))
% 149.08/148.75 [9562]E(x95621,x95622)+~P103(f326(f67(x95623,x95624,x95625,x95621,f190(f880(x95623,a866))),x95622))
% 149.08/148.75 [9577]E(f326(f326(f261(x95771,x95772),f582(x95773,x95774,x95775,x95772,x95771)),f584(x95773,x95774,x95775,x95772,x95771)),x95775)+~P103(f326(f326(f328(f879(x95771,x95772)),x95775),f326(f326(f263(x95771,x95772),x95774),x95773)))
% 149.08/148.75 [9669]P103(f326(f326(f328(x96691),f582(x96692,x96693,x96694,x96695,x96691)),x96693))+~P103(f326(f326(f328(f879(x96691,x96695)),x96694),f326(f326(f263(x96691,x96695),x96693),x96692)))
% 149.08/148.75 [9777]P20(x97775,x97774,f326(f326(f304(f871(x97775)),f326(f326(f326(f93(x97775),x97771),x97773),x97772)),f190(f880(f871(x97775),a866))))+P103(f326(f326(x97771,f589(x97772,x97773,x97774,x97775,x97771)),f596(x97772,x97773,x97774,x97775,x97771)))
% 149.08/148.75 [9828]P103(f326(f326(f328(x98281),f584(x98282,x98283,x98284,x98281,x98285)),f326(x98282,f582(x98282,x98283,x98284,x98281,x98285))))+~P103(f326(f326(f328(f879(x98285,x98281)),x98284),f326(f326(f263(x98285,x98281),x98283),x98282)))
% 149.08/148.75 [9856]P103(f326(f326(f328(f879(x98561,x98561)),f326(f326(f261(x98561,x98561),x98562),f658(x98563,x98564,x98565,x98562,x98561))),x98563))+~P103(f326(f326(f328(f879(x98561,x98561)),f326(f326(f261(x98561,x98561),x98562),x98565)),f326(f326(f185(f879(x98561,x98561),a866),f326(a117,x98564)),x98563)))
% 149.08/148.75 [9857]P103(f326(f326(f328(f879(x98571,x98571)),f326(f326(f261(x98571,x98571),x98572),f659(x98573,x98574,x98575,x98572,x98571))),x98573))+~P103(f326(f326(f328(f879(x98571,x98571)),f326(f326(f261(x98571,x98571),x98572),x98575)),f326(f326(f185(f879(x98571,x98571),a866),f326(a117,x98574)),x98573)))
% 149.08/148.75 [9875]~P103(f326(f326(f328(f879(f873(x98751),f873(x98751))),f326(f326(f261(f873(x98751),f873(x98751)),f326(f326(f147(x98751),x98752),x98755)),x98754)),f154(x98751,x98753)))+P103(f326(f326(f328(f879(x98751,x98751)),f326(f326(f261(x98751,x98751),x98752),f680(x98753,x98754,x98755,x98752,x98751))),x98753))
% 149.08/148.75 [9877]~P20(x98771,x98772,f326(f326(f304(f871(x98771)),f326(f326(f326(f93(x98771),f96(x98771,x98773,x98774)),x98775),x98773)),f190(f880(f871(x98771),a866))))+P20(x98771,x98772,f326(f326(f304(f871(x98771)),f326(f326(f326(f93(x98771),x98773),f33(x98774,x98775)),f96(x98771,x98773,f326(f74(a866,a866,a867,a321),x98774)))),f190(f880(f871(x98771),a866))))
% 149.08/148.75 [9878]~P23(x98781,x98782,f326(f326(f304(f871(x98781)),f326(f326(f326(f93(x98781),f96(x98781,x98783,x98784)),x98785),x98783)),f190(f880(f871(x98781),a866))))+P23(x98781,x98782,f326(f326(f304(f871(x98781)),f326(f326(f326(f93(x98781),x98783),f33(x98784,x98785)),f96(x98781,x98783,f326(f74(a866,a866,a867,a321),x98784)))),f190(f880(f871(x98781),a866))))
% 149.08/148.75 [10137]P20(x101371,x101372,f326(f326(f304(f871(x101371)),f326(f326(f326(f93(x101371),x101373),x101374),x101375)),f190(f880(f871(x101371),a866))))+~P20(x101371,x101372,f326(f326(f304(f871(x101371)),f326(f326(f326(f93(x101371),f326(f16(f880(a867,a866),x101371),f326(f326(f7(a867,a867,a866),a323),f596(x101375,x101374,x101372,x101371,x101373)))),x101374),f326(f16(f880(a867,a866),x101371),f326(x101375,f589(x101375,x101374,x101372,x101371,x101373))))),f190(f880(f871(x101371),a866))))
% 149.08/148.75 [6316]P103(f326(x63162,x63164))+E(f173(x63161,x63162,f326(f326(f126(x63161),x63163),f326(f326(f147(x63161),x63164),x63165))),f173(x63161,x63162,x63163))
% 149.08/148.75 [6365]~P76(x63652)+E(f326(f326(f326(f115(f880(x63651,x63652)),x63653),x63654),x63655),f326(f326(f115(x63652),f326(x63653,x63655)),f326(x63654,x63655)))
% 149.08/148.75 [6367]~P64(x63672)+E(f326(f326(f326(f22(f880(x63671,x63672)),x63673),x63674),x63675),f326(f326(f22(x63672),f326(x63673,x63675)),f326(x63674,x63675)))
% 149.08/148.75 [6369]~P76(x63692)+E(f326(f326(f326(f106(f880(x63691,x63692)),x63693),x63694),x63695),f326(f326(f106(x63692),f326(x63693,x63695)),f326(x63694,x63695)))
% 149.08/148.75 [6387]E(x63871,x63872)+E(f326(f326(f161(x63873),f326(f326(f155(x63873,x63874),x63871),x63875)),x63872),f326(f326(f161(x63873),x63874),x63872))
% 149.08/148.75 [6651]~E(x66514,f190(f880(x66513,a866)))+E(f326(f326(f115(f880(x66511,a866)),x66512),f326(f326(f42(x66513,f880(x66511,a866)),x66514),x66515)),x66512)
% 149.08/148.75 [6652]~E(x66524,f190(f880(x66523,a866)))+E(f326(f326(f22(f880(x66521,a866)),x66522),f326(f326(f42(x66523,f880(x66521,a866)),x66524),x66525)),x66522)
% 149.08/148.75 [6653]~E(x66534,f190(f880(x66533,a866)))+E(f326(f326(f106(f880(x66531,a866)),x66532),f326(f326(f43(x66533,f880(x66531,a866)),x66534),x66535)),x66532)
% 149.08/148.75 [6667]~E(x66674,f190(f880(x66673,a866)))+E(f326(f326(f304(x66671),x66672),f326(f326(f42(x66673,f880(x66671,a866)),x66674),x66675)),f326(f326(f304(x66671),x66672),f190(f880(x66671,a866))))
% 149.08/148.75 [7459]E(f326(f326(f161(x74591),f326(f326(f150(x74592,x74591),x74593),x74594)),x74595),f326(x74593,f326(f326(f161(x74592),x74594),x74595)))+~P103(f326(f326(f241(a872),x74595),f326(f191(f873(x74592)),x74594)))
% 149.08/148.75 [7525]E(f326(f326(f115(f880(x75251,a866)),f326(x75252,x75253)),f326(f326(f42(x75254,f880(x75251,a866)),x75255),x75252)),f326(f326(f42(x75254,f880(x75251,a866)),x75255),x75252))+~P103(f326(f326(f328(x75254),x75253),x75255))
% 149.08/148.75 [7526]E(f326(f326(f106(f880(x75261,a866)),f326(x75262,x75263)),f326(f326(f43(x75264,f880(x75261,a866)),x75265),x75262)),f326(f326(f43(x75264,f880(x75261,a866)),x75265),x75262))+~P103(f326(f326(f328(x75264),x75263),x75265))
% 149.08/148.75 [8131]~E(x81313,f190(f880(x81311,a866)))+E(f326(f326(f42(x81311,f880(x81312,a866)),x81313),f326(f326(f8(f880(x81312,a866),f880(x81312,a866),x81311),f326(f304(x81312),x81314)),x81315)),f190(f880(x81312,a866)))
% 149.08/148.75 [8137]~P103(f326(f326(f328(x81374),x81373),x81375))+P103(f326(f326(f240(f880(x81371,a866)),f326(x81372,x81373)),f326(f326(f42(x81374,f880(x81371,a866)),x81375),x81372)))
% 149.08/148.75 [8267]~E(f326(x82674,x82672),x82675)+P103(f326(f326(f328(x82671),x82672),f326(f306(x82671,x82673,x82674),f326(f326(f304(x82673),x82675),f190(f880(x82673,a866))))))
% 149.08/148.75 [8313]~P50(x83131,x83132,f326(f281(x83132,x83131),x83133))+E(f326(f326(f106(f880(x83131,a866)),f326(f280(x83132,x83131,x83133),x83134)),f326(f280(x83132,x83131,x83133),x83135)),f326(f280(x83132,x83131,x83133),f326(f326(f106(f880(x83132,a866)),x83134),x83135)))
% 149.08/148.75 [8342]E(x83421,f2(a104))+E(f121(x83422,x83423,f326(x83424,f326(f326(f22(a104),x83421),f79(a104))),f326(f326(f7(x83422,a104,f874(x83423)),x83425),x83421)),f326(f203(x83422,x83423,x83424,x83425),x83421))
% 149.08/148.75 [8433]E(x84331,f190(f880(x84332,a866)))+E(f326(f326(f42(x84332,f880(x84333,a866)),x84331),f326(f326(f8(f880(x84333,a866),f880(x84333,a866),x84332),f326(f304(x84333),x84334)),x84335)),f326(f326(f304(x84333),x84334),f326(f326(f42(x84332,f880(x84333,a866)),x84331),x84335)))
% 149.08/148.75 [8489]~P21(x84892,x84891,x84893,f249(f880(x84892,a866)))+E(f326(f326(f22(f880(x84891,a866)),f326(f305(x84892,x84891,x84893),x84894)),f326(f305(x84892,x84891,x84893),x84895)),f326(f305(x84892,x84891,x84893),f326(f326(f22(f880(x84892,a866)),x84894),x84895)))
% 149.08/148.75 [8490]~P21(x84902,x84901,x84903,f249(f880(x84902,a866)))+E(f326(f326(f106(f880(x84901,a866)),f326(f305(x84902,x84901,x84903),x84904)),f326(f305(x84902,x84901,x84903),x84905)),f326(f305(x84902,x84901,x84903),f326(f326(f106(f880(x84902,a866)),x84904),x84905)))
% 149.08/148.75 [8554]~P103(f326(f326(f68(x85541,x85542,x85545),x85543),x85544))+P103(f326(f326(f328(f879(x85541,x85542)),f326(f326(f261(x85541,x85542),x85543),x85544)),x85545))
% 149.08/148.75 [8586]P103(f326(f326(f328(x85861),x85862),f326(f257(x85863,x85861),x85864)))+~P103(f326(f326(f328(f879(x85863,x85861)),f326(f326(f261(x85863,x85861),x85865),x85862)),x85864))
% 149.08/148.75 [8588]P103(f326(f326(f328(x85881),x85882),f326(f259(x85881,x85883),x85884)))+~P103(f326(f326(f328(f879(x85881,x85883)),f326(f326(f261(x85881,x85883),x85882),x85885)),x85884))
% 149.08/148.75 [8721]P103(f326(f326(f68(x87211,x87212,x87213),x87214),x87215))+~P103(f326(f326(f328(f879(x87211,x87212)),f326(f326(f261(x87211,x87212),x87214),x87215)),x87213))
% 149.08/148.75 [8757]E(f326(x87571,x87572),x87573)+~P103(f326(f326(f328(x87574),x87572),f326(f306(x87574,x87575,x87571),f326(f326(f304(x87575),x87573),f190(f880(x87575,a866))))))
% 149.08/148.75 [8991]P103(f326(f326(f328(f879(x89911,x89912)),f326(f326(f261(x89911,x89912),x89913),x89914)),f326(f281(x89912,x89911),x89915)))+~P103(f326(f326(f328(f879(x89912,x89911)),f326(f326(f261(x89912,x89911),x89914),x89913)),x89915))
% 149.08/148.75 [9009]~P103(f326(f326(x90091,x90095),x90094))+P103(f326(f326(x90091,f326(f264(x90092,x90093),f326(f326(f261(x90092,x90093),x90094),x90095))),f326(f260(x90092,x90093),f326(f326(f261(x90092,x90093),x90094),x90095))))
% 149.08/148.75 [9039]~P103(f326(f326(f328(f879(x90392,x90391)),f326(f326(f261(x90392,x90391),x90394),x90393)),f326(f281(x90391,x90392),x90395)))+P103(f326(f326(f328(f879(x90391,x90392)),f326(f326(f261(x90391,x90392),x90393),x90394)),x90395))
% 149.08/148.75 [9069]~P103(f326(f326(f328(f879(x90693,x90691)),f326(f326(f261(x90693,x90691),x90695),x90692)),x90694))+P103(f326(f326(f328(x90691),x90692),f326(f280(x90693,x90691,x90694),f326(f326(f304(x90693),x90695),f190(f880(x90693,a866))))))
% 149.08/148.75 [9114]P103(f326(f326(f328(f879(x91141,x91142)),f326(f326(f261(x91141,x91142),x91143),x91144)),x91145))+~P103(f326(f326(f328(x91142),x91144),f326(f280(x91141,x91142,x91145),f326(f326(f304(x91141),x91143),f190(f880(x91141,a866))))))
% 149.08/148.75 [9135]E(f326(f326(f326(f73(x91351,f876(x91352)),f184(x91351,x91352,x91353,x91354)),x91355),f193(x91352)),f184(x91351,x91352,x91353,f326(f326(f22(f880(x91351,a866)),x91354),f326(f326(f304(x91351),x91355),f190(f880(x91351,a866))))))+~P103(f326(f326(f328(x91351),x91355),x91354))
% 149.08/148.75 [9203]~P72(x92031)+E(f326(f326(f6(a872,x92031),x92032),f297(a872,f326(f326(f81(a872),x92033),x92034),f326(f326(f81(a872),x92035),x92034))),f326(f326(f6(a872,x92031),f326(f326(f8(a872,x92031,a872),x92032),f326(f326(f7(a872,a872,a872),f81(a872)),x92034))),f297(a872,x92033,x92035)))
% 149.08/148.75 [9227]~P72(x92271)+E(f326(f326(f6(a872,x92271),x92272),f326(f296(a872,f326(f326(f81(a872),x92273),x92274)),f326(f326(f81(a872),x92275),x92274))),f326(f326(f6(a872,x92271),f326(f326(f8(a872,x92271,a872),x92272),f326(f326(f7(a872,a872,a872),f81(a872)),x92274))),f326(f296(a872,x92273),x92275)))
% 149.08/148.75 [9280]~P21(x92801,x92802,x92803,f249(f880(x92801,a866)))+E(f326(f326(f150(x92801,x92802),x92803),f326(f132(x92801,f326(f326(f8(a866,a866,x92801),a321),f326(a323,x92804))),x92805)),f326(f132(x92802,f326(f326(f8(a866,a866,x92802),a321),f326(a323,f326(x92803,x92804)))),f326(f326(f150(x92801,x92802),x92803),x92805)))
% 149.08/148.75 [9298]~P21(x92981,x92982,x92983,f326(f326(f304(x92981),x92984),f326(f168(x92981),x92985)))+E(f326(f326(f150(x92981,x92982),x92983),f326(f132(x92981,f326(f326(f8(a866,a866,x92981),a321),f326(a323,x92984))),x92985)),f326(f132(x92982,f326(f326(f8(a866,a866,x92982),a321),f326(a323,f326(x92983,x92984)))),f326(f326(f150(x92981,x92982),x92983),x92985)))
% 149.08/148.75 [9454]P103(f326(f326(f328(f879(f873(x94541),f873(x94541))),f326(f326(f261(f873(x94541),f873(x94541)),f326(f326(f147(x94541),x94542),x94543)),f326(f326(f147(x94541),x94544),x94543))),f153(x94541,x94545)))+~P103(f326(f326(f328(f879(x94541,x94541)),f326(f326(f261(x94541,x94541),x94542),x94544)),x94545))
% 149.08/148.75 [9490]P103(f326(f326(f326(f326(a199,x94901),x94902),x94903),f823(x94904,x94903,x94902,x94905,x94901)))+~P103(f326(f326(f326(f326(a199,f34(x94901,x94905)),x94902),x94903),x94904))
% 149.08/148.75 [9560]P20(x95601,x95602,f326(f326(f304(f871(x95601)),f326(f326(f326(f93(x95601),x95603),f326(a26,x95604)),x95605)),f190(f880(f871(x95601),a866))))+~P20(x95601,f326(f326(f304(f871(x95601)),f326(f326(f326(f93(x95601),x95603),f326(a26,x95604)),x95605)),x95602),f326(f326(f304(f871(x95601)),f326(f326(f326(f93(x95601),x95603),f326(f237(a868),f326(a28,x95604))),x95605)),f190(f880(f871(x95601),a866))))
% 149.08/148.75 [9572]E(f326(f326(f304(x95721),f356(x95722,x95723,x95724,x95725,x95721)),f357(x95722,x95723,x95724,x95725,x95721)),f326(f326(f304(x95721),x95724),x95723))+~P103(f326(f63(x95721,x95725,f326(f326(f304(x95721),x95724),x95723)),x95722))
% 149.08/148.75 [9573]E(f326(f326(f304(x95731),f363(x95732,x95733,x95734,x95735,x95731)),f365(x95732,x95733,x95734,x95735,x95731)),f326(f326(f304(x95731),x95734),x95733))+~P103(f326(f63(x95731,x95735,f326(f326(f304(x95731),x95734),x95733)),x95732))
% 149.08/148.75 [9655]P103(f326(f326(f328(x96551),f358(x96552,x96553,x96554,x96555,x96551)),x96554))+P103(f326(f326(f326(f43(x96551,f880(x96555,a866)),x96554),x96553),x96552))
% 149.08/148.75 [9660]P103(f326(f326(f328(x96601),f341(x96602,x96603,x96601,x96604,x96605)),x96603))+P103(f326(f326(f328(x96605),x96604),f326(f326(f43(x96601,f880(x96605,a866)),x96603),x96602)))
% 149.08/148.75 [9668]P103(f326(f326(f328(x96681),f342(x96682,x96683,x96681,x96684,x96685)),x96683))+P103(f326(f326(f240(f880(x96685,a866)),x96684),f326(f326(f43(x96681,f880(x96685,a866)),x96683),x96682)))
% 149.08/148.75 [9670]P103(f326(f326(x96701,f687(x96702,x96701,x96703,x96704,x96705)),x96702))+~P103(f326(f326(f326(f42(x96705,f880(x96704,a866)),x96703),x96701),x96702))
% 149.08/148.75 [9673]P103(f326(f326(f328(x96731),f687(x96732,x96733,x96734,x96735,x96731)),x96734))+~P103(f326(f326(f326(f42(x96731,f880(x96735,a866)),x96734),x96733),x96732))
% 149.08/148.75 [9683]P103(f326(f326(f328(x96831),f711(x96832,x96833,x96831,x96834,x96835)),x96833))+~P103(f326(f326(f328(x96835),x96834),f326(f326(f42(x96831,f880(x96835,a866)),x96833),x96832)))
% 149.08/148.75 [9688]P103(f326(f326(f328(x96881),x96882),f326(x96883,f711(x96883,x96884,x96885,x96882,x96881))))+~P103(f326(f326(f328(x96881),x96882),f326(f326(f42(x96885,f880(x96881,a866)),x96884),x96883)))
% 149.08/148.75 [9782]~P103(f326(f326(x97824,f358(x97825,x97824,x97823,x97822,x97821)),x97825))+P103(f326(f326(f326(f43(x97821,f880(x97822,a866)),x97823),x97824),x97825))
% 149.08/148.75 [9785]~P103(f326(f326(f328(x97851),x97852),f326(x97855,f341(x97855,x97854,x97853,x97852,x97851))))+P103(f326(f326(f328(x97851),x97852),f326(f326(f43(x97853,f880(x97851,a866)),x97854),x97855)))
% 149.08/148.75 [9789]~P103(f326(f326(f240(f880(x97891,a866)),x97892),f326(x97895,f342(x97895,x97894,x97893,x97892,x97891))))+P103(f326(f326(f240(f880(x97891,a866)),x97892),f326(f326(f43(x97893,f880(x97891,a866)),x97894),x97895)))
% 149.08/148.75 [9834]P103(f326(f326(f326(f326(a199,x98341),f823(x98342,x98343,x98344,x98341,x98345)),x98343),x98342))+~P103(f326(f326(f326(f326(a199,f34(x98345,x98341)),x98344),x98343),x98342))
% 149.08/148.75 [9860]~P103(f326(f326(f328(x98601),f356(x98605,x98604,x98603,x98602,x98601)),f357(x98605,x98604,x98603,x98602,x98601)))+~P103(f326(f63(x98601,x98602,f326(f326(f304(x98601),x98603),x98604)),x98605))
% 149.08/148.75 [9861]~P103(f326(f326(f328(x98611),f363(x98615,x98614,x98613,x98612,x98611)),f365(x98615,x98614,x98613,x98612,x98611)))+~P103(f326(f63(x98611,x98612,f326(f326(f304(x98611),x98613),x98614)),x98615))
% 149.08/148.75 [9862]~P103(f326(f326(f328(f879(x98621,x98621)),f326(f326(f261(x98621,x98621),x98622),x98625)),f326(f326(f185(f879(x98621,x98621),a866),f326(a117,x98624)),x98623)))+P103(f326(f326(f328(f879(x98621,x98621)),f326(f326(f261(x98621,x98621),x98622),f660(x98623,x98624,x98625,x98622,x98621))),f326(f326(f185(f879(x98621,x98621),a866),x98624),x98623)))
% 149.08/148.75 [9869]P103(f326(f67(x98691,x98691,x98692,f356(x98693,x98694,x98695,x98692,x98691),f357(x98693,x98694,x98695,x98692,x98691)),x98693))+~P103(f326(f63(x98691,x98692,f326(f326(f304(x98691),x98695),x98694)),x98693))
% 149.08/148.75 [9870]P103(f326(f67(x98701,x98701,x98702,f363(x98703,x98704,x98705,x98702,x98701),f365(x98703,x98704,x98705,x98702,x98701)),x98703))+~P103(f326(f63(x98701,x98702,f326(f326(f304(x98701),x98705),x98704)),x98703))
% 149.08/148.75 [9882]~P105(x98821)+P28(x98821,f326(f326(f150(x98822,x98821),x98823),f326(f132(x98822,f326(f326(f7(x98822,x98821,a866),f326(f326(f8(x98821,f880(x98821,a866),x98822),a323),x98823)),f326(x98824,x98825))),x98825)))
% 149.08/148.75 [9922]~P103(f326(f326(f328(x99222),x99225),f326(f280(x99221,x99222,x99224),x99223)))+P103(f326(f326(f328(f879(x99221,x99222)),f326(f326(f261(x99221,x99222),f533(x99223,x99224,x99221,x99225,x99222)),x99225)),x99224))
% 149.08/148.75 [9923]~P103(f326(f326(f328(x99232),x99235),f326(f280(x99231,x99232,x99234),x99233)))+P103(f326(f326(f328(f879(x99231,x99232)),f326(f326(f261(x99231,x99232),f539(x99233,x99234,x99231,x99235,x99232)),x99235)),x99234))
% 149.08/148.75 [9943]~P103(f326(f326(f328(f879(x99431,x99431)),f326(f326(f261(x99431,x99431),x99435),x99434)),f326(f326(f185(f879(x99431,x99431),a866),f326(a117,x99433)),x99432)))+P103(f326(f326(f328(f879(x99431,x99431)),f326(f326(f261(x99431,x99431),f660(x99432,x99433,x99434,x99435,x99431)),x99434)),x99432))
% 149.08/148.75 [9946]~P103(f326(f326(f328(f879(x99461,x99461)),f326(f326(f261(x99461,x99461),x99465),x99464)),f326(f326(f185(f879(x99461,x99461),a866),f326(a117,x99463)),x99462)))+P103(f326(f326(f328(f879(x99461,x99461)),f326(f326(f261(x99461,x99461),f658(x99462,x99463,x99464,x99465,x99461)),x99464)),f326(f326(f185(f879(x99461,x99461),a866),x99463),x99462)))
% 149.08/148.75 [9947]~P103(f326(f326(f328(f879(x99471,x99471)),f326(f326(f261(x99471,x99471),x99475),x99474)),f326(f326(f185(f879(x99471,x99471),a866),f326(a117,x99473)),x99472)))+P103(f326(f326(f328(f879(x99471,x99471)),f326(f326(f261(x99471,x99471),f659(x99472,x99473,x99474,x99475,x99471)),x99474)),f326(f326(f185(f879(x99471,x99471),a866),x99473),x99472)))
% 149.08/148.75 [9948]~P103(f326(f326(f328(f879(f873(x99481),f873(x99481))),f326(f326(f261(f873(x99481),f873(x99481)),x99485),f326(f326(f147(x99481),x99484),x99483))),f154(x99481,x99482)))+P103(f326(f326(f328(f879(x99481,x99481)),f326(f326(f261(x99481,x99481),f679(x99482,x99483,x99484,x99485,x99481)),x99484)),x99482))
% 149.08/148.75 [7053]E(x70531,f193(x70532))+E(f180(x70533,x70532,f326(f326(f326(f73(x70533,f876(x70532)),x70534),x70535),x70531)),f326(f326(f304(x70533),x70535),f180(x70533,x70532,x70534)))
% 149.08/148.75 [7546]~E(x75463,f190(f880(x75462,a866)))+E(f326(f326(f115(f880(x75461,a866)),f326(f326(f42(x75462,f880(x75461,a866)),x75463),x75464)),x75465),x75465)
% 149.08/148.75 [7547]~E(x75473,f190(f880(x75472,a866)))+E(f326(f326(f106(f880(x75471,a866)),f326(f326(f43(x75472,f880(x75471,a866)),x75473),x75474)),x75475),x75475)
% 149.08/148.75 [7903]~E(x79035,f193(x79032))+E(f180(x79031,x79032,f326(f326(f326(f73(x79031,f876(x79032)),x79033),x79034),x79035)),f326(f326(f22(f880(x79031,a866)),f180(x79031,x79032,x79033)),f326(f326(f304(x79031),x79034),f190(f880(x79031,a866)))))
% 149.08/148.75 [7972]~E(x79723,f190(f880(x79722,a866)))+E(f326(f326(f22(f880(x79721,a866)),f326(f326(f43(x79722,f880(x79721,a866)),x79723),x79724)),x79725),f326(f326(f22(f880(x79721,a866)),f249(f880(x79721,a866))),x79725))
% 149.08/148.75 [8103]E(f326(f326(f155(x81031,f326(f326(f126(x81031),x81032),x81033)),x81034),x81035),f326(f326(f126(x81031),f326(f326(f155(x81031,x81032),x81034),x81035)),x81033))+~P103(f326(f326(f241(a872),x81034),f326(f191(f873(x81031)),x81032)))
% 149.08/148.75 [8219]P103(f326(f326(f328(x82191),x82195),f326(f168(x82191),x82193)))+E(f326(f326(f174(x82191,x82192),f326(f326(f178(x82191,x82192),x82193),f326(f326(f150(x82191,x82192),x82194),x82193))),x82195),f193(x82192))
% 149.08/148.75 [8340]~P103(f326(f326(f328(x83401),x83405),f326(f168(x83401),x83403)))+E(f326(f326(f174(x83401,x83402),f326(f326(f178(x83401,x83402),x83403),f326(f326(f150(x83401,x83402),x83404),x83403))),x83405),f326(f233(x83402),f326(x83404,x83405)))
% 149.08/148.75 [8381]E(f326(f326(f161(x83811),f326(f326(f150(a872,x83811),x83812),f135(a872,f326(f296(a872,x83813),x83814)))),x83815),f326(x83812,f326(f326(f81(a872),x83813),x83815)))+~P103(f326(f326(f241(a872),x83815),f326(f326(f22(a872),x83814),x83813)))
% 149.08/148.75 [8395]E(x83951,f2(a104))+E(f124(x83952,x83953,f326(x83954,f326(f326(f22(a104),x83951),f79(a104))),f326(f326(f7(x83952,a104,f874(f876(x83953))),x83955),x83951)),f326(f201(x83952,x83953,x83954,x83955),x83951))
% 149.08/148.75 [8420]~E(x84203,f190(f880(x84201,a866)))+E(f326(f326(f42(x84201,f880(x84202,a866)),x84203),f326(f326(f8(f880(x84202,a866),f880(x84202,a866),x84201),f326(f115(f880(x84202,a866)),x84204)),x84205)),f190(f880(x84202,a866)))
% 149.08/148.75 [8421]~E(x84213,f190(f880(x84211,a866)))+E(f326(f326(f43(x84211,f880(x84212,a866)),x84213),f326(f326(f8(f880(x84212,a866),f880(x84212,a866),x84211),f326(f22(f880(x84212,a866)),x84214)),x84215)),f249(f880(x84212,a866)))
% 149.08/148.75 [8422]~E(x84223,f190(f880(x84221,a866)))+E(f326(f326(f43(x84221,f880(x84222,a866)),x84223),f326(f326(f8(f880(x84222,a866),f880(x84222,a866),x84221),f326(f106(f880(x84222,a866)),x84224)),x84225)),f249(f880(x84222,a866)))
% 149.08/148.75 [8427]~P141(x84272)+E(f326(f326(f6(x84271,x84272),f326(f326(f8(x84272,x84272,x84271),f326(f82(x84272),x84273)),x84274)),x84275),f326(f326(f82(x84272),x84273),f326(f326(f6(x84271,x84272),x84274),x84275)))
% 149.08/148.75 [8706]E(x87061,f190(f880(x87062,a866)))+E(f326(f326(f42(x87062,f880(x87063,a866)),x87061),f326(f326(f8(f880(x87063,a866),f880(x87063,a866),x87062),f326(f115(f880(x87063,a866)),x87064)),x87065)),f326(f326(f115(f880(x87063,a866)),x87064),f326(f326(f42(x87062,f880(x87063,a866)),x87061),x87065)))
% 149.08/148.75 [8707]E(x87071,f190(f880(x87072,a866)))+E(f326(f326(f43(x87072,f880(x87073,a866)),x87071),f326(f326(f8(f880(x87073,a866),f880(x87073,a866),x87072),f326(f22(f880(x87073,a866)),x87074)),x87075)),f326(f326(f22(f880(x87073,a866)),x87074),f326(f326(f42(x87072,f880(x87073,a866)),x87071),x87075)))
% 149.08/148.75 [8708]E(x87081,f190(f880(x87082,a866)))+E(f326(f326(f43(x87082,f880(x87083,a866)),x87081),f326(f326(f8(f880(x87083,a866),f880(x87083,a866),x87082),f326(f106(f880(x87083,a866)),x87084)),x87085)),f326(f326(f106(f880(x87083,a866)),x87084),f326(f326(f43(x87082,f880(x87083,a866)),x87081),x87085)))
% 149.08/148.75 [8905]~P103(f326(f326(f241(a872),f326(x89054,x89052)),f326(x89054,x89053)))+P103(f326(f326(f328(f879(x89051,x89051)),f326(f326(f261(x89051,x89051),x89052),x89053)),f149(x89051,f326(f326(f147(f880(x89051,a872)),x89054),x89055))))
% 149.08/148.75 [9170]~P21(x91702,x91701,x91703,f326(f326(f115(f880(x91702,a866)),x91704),x91705))+E(f326(f326(f106(f880(x91701,a866)),f326(f305(x91702,x91701,x91703),f326(f326(f22(f880(x91702,a866)),x91704),x91705))),f326(f305(x91702,x91701,x91703),f326(f326(f22(f880(x91702,a866)),x91705),x91704))),f190(f880(x91701,a866)))
% 149.08/148.75 [9450]~P103(f326(f326(f240(f880(x94503,a866)),f326(f280(x94501,x94503,x94504),x94502)),x94505))+P103(f326(f326(f240(f880(x94501,a866)),x94502),f326(f80(f880(x94501,a866)),f326(f280(x94503,x94501,f326(f281(x94501,x94503),x94504)),f326(f80(f880(x94503,a866)),x94505)))))
% 149.08/148.75 [9475]~P21(x94751,x94752,x94753,f326(f326(f304(x94751),x94754),x94755))+~P103(f326(f326(f328(x94752),f326(x94753,x94754)),f326(f305(x94751,x94752,x94753),f326(f326(f22(f880(x94751,a866)),x94755),f326(f326(f304(x94751),x94754),f190(f880(x94751,a866)))))))
% 149.08/148.75 [9526]P103(f326(f326(f240(f880(x95261,a866)),f326(f280(x95262,x95261,x95263),x95264)),x95265))+~P103(f326(f326(f240(f880(x95262,a866)),x95264),f326(f80(f880(x95262,a866)),f326(f280(x95261,x95262,f326(f281(x95262,x95261),x95263)),f326(f80(f880(x95261,a866)),x95265)))))
% 149.08/148.75 [9600]~P84(x96001)+P103(f326(f326(f240(x96001),f326(f76(x96001),f326(f326(f22(x96001),f326(f326(f81(x96001),x96002),x96003)),f326(f326(f81(x96001),x96004),x96005)))),f326(f326(f81(x96001),f326(f76(x96001),f326(f326(f22(x96001),x96002),x96004))),f326(f76(x96001),f326(f326(f22(x96001),x96003),x96005)))))
% 149.08/148.75 [9703]P103(f326(f326(f328(x97031),f743(x97032,x97033,x97034,x97031,x97035)),x97034))+P103(f326(f326(f240(f880(x97035,a866)),f326(f326(f42(x97031,f880(x97035,a866)),x97034),x97033)),x97032))
% 149.08/148.75 [9900]~P103(f326(f326(f240(f880(x99001,a866)),f326(x99004,f743(x99005,x99004,x99003,x99002,x99001))),x99005))+P103(f326(f326(f240(f880(x99001,a866)),f326(f326(f42(x99002,f880(x99001,a866)),x99003),x99004)),x99005))
% 149.08/148.75 [8535]E(f326(f326(f126(x85351),x85352),f326(f326(f155(x85351,x85353),f326(f326(f22(a872),x85354),f326(f191(f873(x85351)),x85352))),x85355)),f326(f326(f155(x85351,f326(f326(f126(x85351),x85352),x85353)),x85354),x85355))+P103(f326(f326(f241(a872),x85354),f326(f191(f873(x85351)),x85352)))
% 149.08/148.75 [8562]~P139(x85621)+E(f326(f326(f81(x85621),f326(f326(f82(x85621),x85622),x85623)),f326(f326(f81(x85621),f326(f326(f82(x85621),x85624),x85623)),x85625)),f326(f326(f81(x85621),f326(f326(f82(x85621),f326(f326(f81(x85621),x85622),x85624)),x85623)),x85625))
% 149.08/148.75 [9124]~P141(x91241)+E(f326(f162(x91241),f326(f326(f150(x91242,x91241),f326(f326(f8(x91241,x91241,x91242),f326(f82(x91241),x91243)),x91244)),x91245)),f326(f326(f82(x91241),x91243),f326(f162(x91241),f326(f326(f150(x91242,x91241),x91244),x91245))))
% 149.08/148.75 [9297]E(f326(f191(f873(x92971)),f326(f326(f171(x92971),f326(f326(f238(a872),f326(f191(f873(x92971)),x92972)),f326(f191(f873(x92973)),x92974))),x92972)),f326(f191(f873(x92973)),f326(f326(f171(x92973),f326(f326(f238(a872),f326(f191(f873(x92971)),x92972)),f326(f191(f873(x92973)),x92974))),x92974)))+P103(f326(x92975,f326(f326(f178(x92971,x92973),x92972),x92974)))
% 149.08/148.75 [9537]~P141(x95372)+E(f326(f326(f6(x95371,x95372),f326(f326(f7(x95371,x95372,x95372),f326(f326(f8(x95372,f880(x95372,x95372),x95371),f82(x95372)),x95373)),x95374)),x95375),f326(f326(f82(x95372),f326(f326(f6(x95371,x95372),x95373),x95375)),x95374))
% 149.08/148.75 [9538]~P60(x95382)+E(f326(f326(f6(x95381,x95382),f326(f326(f7(x95381,x95382,x95382),f326(f326(f8(x95382,f880(x95382,x95382),x95381),f284(x95382)),x95383)),x95384)),x95385),f326(f326(f284(x95382),f326(f326(f6(x95381,x95382),x95383),x95385)),x95384))
% 149.08/148.75 [9545]~P65(x95452)+E(f326(f326(f6(x95451,x95452),f326(f326(f18(x95451,x95452,x95452),f326(f326(f8(x95452,f880(x95452,x95452),x95451),f22(x95452)),x95453)),x95454)),x95455),f326(f326(f22(x95452),f326(f326(f6(x95451,x95452),x95453),x95455)),f326(f326(f6(x95451,x95452),x95454),x95455)))
% 149.08/148.75 [9546]~P72(x95462)+E(f326(f326(f6(x95461,x95462),f326(f326(f18(x95461,x95462,x95462),f326(f326(f8(x95462,f880(x95462,x95462),x95461),f81(x95462)),x95463)),x95464)),x95465),f326(f326(f81(x95462),f326(f326(f6(x95461,x95462),x95463),x95465)),f326(f326(f6(x95461,x95462),x95464),x95465)))
% 149.08/148.75 [9547]~P73(x95472)+E(f326(f326(f9(x95471,x95472),f326(f326(f18(x95471,x95472,x95472),f326(f326(f8(x95472,f880(x95472,x95472),x95471),f82(x95472)),x95473)),x95474)),x95475),f326(f326(f82(x95472),f326(f326(f9(x95471,x95472),x95473),x95475)),f326(f326(f9(x95471,x95472),x95474),x95475)))
% 149.08/148.75 [9585]~E(x95853,f190(f880(x95851,a866)))+E(f326(f326(f42(x95851,f880(x95852,a866)),x95853),f326(f326(f7(x95851,f880(x95852,a866),f880(x95852,a866)),f326(f326(f8(f880(x95852,a866),f880(f880(x95852,a866),f880(x95852,a866)),x95851),f115(f880(x95852,a866))),x95854)),x95855)),f190(f880(x95852,a866)))
% 149.08/148.75 [9586]~E(x95863,f190(f880(x95861,a866)))+E(f326(f326(f43(x95861,f880(x95862,a866)),x95863),f326(f326(f7(x95861,f880(x95862,a866),f880(x95862,a866)),f326(f326(f8(f880(x95862,a866),f880(f880(x95862,a866),f880(x95862,a866)),x95861),f22(f880(x95862,a866))),x95864)),x95865)),f249(f880(x95862,a866)))
% 149.08/148.75 [9587]~E(x95873,f190(f880(x95871,a866)))+E(f326(f326(f43(x95871,f880(x95872,a866)),x95873),f326(f326(f7(x95871,f880(x95872,a866),f880(x95872,a866)),f326(f326(f8(f880(x95872,a866),f880(f880(x95872,a866),f880(x95872,a866)),x95871),f106(f880(x95872,a866))),x95874)),x95875)),f249(f880(x95872,a866)))
% 149.08/148.75 [9608]E(x96081,f190(f880(x96082,a866)))+E(f326(f326(f42(x96082,f880(x96083,a866)),x96081),f326(f326(f7(x96082,f880(x96083,a866),f880(x96083,a866)),f326(f326(f8(f880(x96083,a866),f880(f880(x96083,a866),f880(x96083,a866)),x96082),f115(f880(x96083,a866))),x96084)),x96085)),f326(f326(f115(f880(x96083,a866)),f326(f326(f42(x96082,f880(x96083,a866)),x96081),x96084)),x96085))
% 149.08/148.75 [9609]E(x96091,f190(f880(x96092,a866)))+E(f326(f326(f43(x96092,f880(x96093,a866)),x96091),f326(f326(f7(x96092,f880(x96093,a866),f880(x96093,a866)),f326(f326(f8(f880(x96093,a866),f880(f880(x96093,a866),f880(x96093,a866)),x96092),f22(f880(x96093,a866))),x96094)),x96095)),f326(f326(f22(f880(x96093,a866)),f326(f326(f43(x96092,f880(x96093,a866)),x96091),x96094)),x96095))
% 149.08/148.75 [9610]E(x96101,f190(f880(x96102,a866)))+E(f326(f326(f43(x96102,f880(x96103,a866)),x96101),f326(f326(f7(x96102,f880(x96103,a866),f880(x96103,a866)),f326(f326(f8(f880(x96103,a866),f880(f880(x96103,a866),f880(x96103,a866)),x96102),f106(f880(x96103,a866))),x96104)),x96105)),f326(f326(f106(f880(x96103,a866)),f326(f326(f43(x96102,f880(x96103,a866)),x96101),x96104)),x96105))
% 149.08/148.75 [9177]~P103(f326(f326(f240(a872),x91771),x91774))+E(f326(f326(f22(a872),f326(f326(f81(a872),f326(f326(f82(a872),x91771),x91772)),x91773)),f326(f326(f81(a872),f326(f326(f82(a872),x91774),x91772)),x91775)),f326(f326(f22(a872),x91773),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x91774),x91771)),x91772)),x91775)))
% 149.08/148.75 [9763]~P141(x97631)+E(f326(f162(x97631),f326(f326(f150(x97632,x97631),f326(f326(f7(x97632,x97631,x97631),f326(f326(f8(x97631,f880(x97631,x97631),x97632),f82(x97631)),x97633)),x97634)),x97635)),f326(f326(f82(x97631),f326(f162(x97631),f326(f326(f150(x97632,x97631),x97633),x97635))),x97634))
% 149.08/148.75 [9769]~P65(x97691)+E(f326(f162(x97691),f326(f326(f150(x97692,x97691),f326(f326(f18(x97692,x97691,x97691),f326(f326(f8(x97691,f880(x97691,x97691),x97692),f22(x97691)),x97693)),x97694)),x97695)),f326(f326(f22(x97691),f326(f162(x97691),f326(f326(f150(x97692,x97691),x97693),x97695))),f326(f162(x97691),f326(f326(f150(x97692,x97691),x97694),x97695))))
% 149.08/148.75 [9770]~P72(x97701)+E(f326(f162(x97701),f326(f326(f150(x97702,x97701),f326(f326(f18(x97702,x97701,x97701),f326(f326(f8(x97701,f880(x97701,x97701),x97702),f81(x97701)),x97703)),x97704)),x97705)),f326(f326(f81(x97701),f326(f162(x97701),f326(f326(f150(x97702,x97701),x97703),x97705))),f326(f162(x97701),f326(f326(f150(x97702,x97701),x97704),x97705))))
% 149.08/148.75 [9913]P103(f326(x99131,f326(f326(f178(x99132,x99133),x99134),x99135)))+~P103(f326(x99131,f326(f326(f178(x99132,x99133),f326(f326(f171(x99132),f326(f326(f238(a872),f326(f191(f873(x99132)),x99134)),f326(f191(f873(x99133)),x99135))),x99134)),f326(f326(f171(x99133),f326(f326(f238(a872),f326(f191(f873(x99132)),x99134)),f326(f191(f873(x99133)),x99135))),x99135))))
% 149.08/148.75 [10146]~P103(f326(f326(f328(f879(x101462,x101461)),f326(f326(f261(x101462,x101461),x101464),x101465)),f326(f281(x101461,x101462),x101463)))+P103(f326(f326(f250(x101461,x101462,f326(f326(f7(x101461,f880(f879(x101461,x101462),a866),f880(x101462,a866)),f326(f326(f8(f880(x101462,f880(f880(f879(x101461,x101462),a866),a866)),f880(f880(f879(x101461,x101462),a866),f880(x101462,a866)),x101461),f7(x101462,f880(f879(x101461,x101462),a866),a866)),f326(f326(f8(f880(x101462,f879(x101461,x101462)),f880(x101462,f880(f880(f879(x101461,x101462),a866),a866)),x101461),f326(f8(f879(x101461,x101462),f880(f880(f879(x101461,x101462),a866),a866),x101462),f328(f879(x101461,x101462)))),f261(x101461,x101462)))),x101463)),x101464),x101465))
% 149.08/148.75 [10155]P103(f326(f326(f328(f879(x101551,x101552)),f326(f326(f261(x101551,x101552),x101553),x101554)),f326(f281(x101552,x101551),x101555)))+~P103(f326(f326(f250(x101552,x101551,f326(f326(f7(x101552,f880(f879(x101552,x101551),a866),f880(x101551,a866)),f326(f326(f8(f880(x101551,f880(f880(f879(x101552,x101551),a866),a866)),f880(f880(f879(x101552,x101551),a866),f880(x101551,a866)),x101552),f7(x101551,f880(f879(x101552,x101551),a866),a866)),f326(f326(f8(f880(x101551,f879(x101552,x101551)),f880(x101551,f880(f880(f879(x101552,x101551),a866),a866)),x101552),f326(f8(f879(x101552,x101551),f880(f880(f879(x101552,x101551),a866),a866),x101551),f328(f879(x101552,x101551)))),f261(x101552,x101551)))),x101555)),x101553),x101554))
% 149.08/148.75 [9418]~P103(f326(f326(f240(a872),x94184),x94181))+E(f326(f326(f22(a872),f326(f326(f81(a872),f326(f326(f82(a872),x94181),x94182)),x94183)),f326(f326(f81(a872),f326(f326(f82(a872),x94184),x94182)),x94185)),f326(f326(f22(a872),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x94181),x94184)),x94182)),x94183)),x94185))
% 149.08/148.75 [10164]P20(x101641,x101642,f326(f305(a869,f871(x101641),f326(f326(f18(a869,f880(x101641,f880(a867,a866)),f871(x101641)),f326(f326(f18(a869,a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),f326(f326(f8(f880(x101641,f880(a867,a866)),f880(a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),a869),f93(x101641)),x101643)),a26)),x101644)),x101645))+~P20(x101641,f326(f326(f115(f880(f871(x101641),a866)),x101642),f326(f305(a869,f871(x101641),f326(f326(f18(a869,f880(x101641,f880(a867,a866)),f871(x101641)),f326(f326(f18(a869,a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),f326(f326(f8(f880(x101641,f880(a867,a866)),f880(a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),a869),f93(x101641)),x101643)),a26)),x101644)),x101645)),f326(f305(a869,f871(x101641),f326(f326(f18(a869,f880(x101641,f880(a867,a866)),f871(x101641)),f326(f326(f18(a869,a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),f326(f326(f8(f880(x101641,f880(a867,a866)),f880(a868,f880(f880(x101641,f880(a867,a866)),f871(x101641))),a869),f93(x101641)),x101643)),f326(f326(f8(f876(a868),a868,a869),f237(a868)),a28))),x101644)),x101645))
% 149.08/148.75 [10165]P23(x101651,x101652,f326(f305(a869,f871(x101651),f326(f326(f18(a869,f880(x101651,f880(a867,a866)),f871(x101651)),f326(f326(f18(a869,a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),f326(f326(f8(f880(x101651,f880(a867,a866)),f880(a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),a869),f93(x101651)),x101653)),a26)),x101654)),x101655))+~P23(x101651,f326(f326(f115(f880(f871(x101651),a866)),x101652),f326(f305(a869,f871(x101651),f326(f326(f18(a869,f880(x101651,f880(a867,a866)),f871(x101651)),f326(f326(f18(a869,a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),f326(f326(f8(f880(x101651,f880(a867,a866)),f880(a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),a869),f93(x101651)),x101653)),a26)),x101654)),x101655)),f326(f305(a869,f871(x101651),f326(f326(f18(a869,f880(x101651,f880(a867,a866)),f871(x101651)),f326(f326(f18(a869,a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),f326(f326(f8(f880(x101651,f880(a867,a866)),f880(a868,f880(f880(x101651,f880(a867,a866)),f871(x101651))),a869),f93(x101651)),x101653)),f326(f326(f8(f876(a868),a868,a869),f237(a868)),a28))),x101654)),x101655))
% 149.08/148.75 [5242]E(x52421,x52422)+~E(f29(x52423,x52424,x52421),f29(x52425,x52426,x52422))
% 149.08/148.75 [5243]E(x52431,x52432)+~E(f29(x52433,x52431,x52434),f29(x52435,x52432,x52436))
% 149.08/148.75 [5244]E(x52441,x52442)+~E(f29(x52441,x52443,x52444),f29(x52442,x52445,x52446))
% 149.08/148.75 [5245]E(x52451,x52452)+~E(f31(x52453,x52454,x52451),f31(x52455,x52456,x52452))
% 149.08/148.75 [5246]E(x52461,x52462)+~E(f31(x52463,x52461,x52464),f31(x52465,x52462,x52466))
% 149.08/148.75 [5247]E(x52471,x52472)+~E(f31(x52471,x52473,x52474),f31(x52472,x52475,x52476))
% 149.08/148.75 [5248]E(x52481,x52482)+~E(f30(x52483,x52484,x52481),f30(x52485,x52486,x52482))
% 149.08/148.75 [5249]E(x52491,x52492)+~E(f30(x52493,x52491,x52494),f30(x52495,x52492,x52496))
% 149.08/148.75 [5250]E(x52501,x52502)+~E(f30(x52501,x52503,x52504),f30(x52502,x52505,x52506))
% 149.08/148.75 [6694]E(f326(f181(x66941,x66942,x66943,x66944),x66945),f326(f233(x66942),x66946))+~E(f326(x66944,x66945),f326(f233(x66942),x66946))
% 149.08/148.75 [6837]E(f326(f235(f876(x68371),x68372,f193(x68371),x68373),f326(x68374,x68375)),f326(x68373,x68376))+~E(f326(x68374,x68375),f326(f233(x68372),x68376))
% 149.08/148.75 [8364]~P15(x83645,x83641,x83642,x83646)+E(f326(f74(x83641,x83641,x83641,f326(x83642,x83643)),f326(x83642,x83644)),f326(f74(x83641,x83641,x83641,f326(x83642,x83644)),f326(x83642,x83643)))
% 149.08/148.75 [8603]~P52(x86034,x86035,x86032,x86031,x86036)+E(f326(x86031,f326(x86032,x86033)),x86033)
% 149.08/148.75 [8755]P21(x87551,x87552,x87553,x87554)+~P21(x87551,x87555,f326(f74(x87552,x87555,x87551,x87556),x87553),x87554)
% 149.08/148.75 [8839]~P21(x88394,x88392,f326(f74(x88391,x88392,x88394,x88393),x88395),x88396)+P21(x88391,x88392,x88393,f326(f305(x88394,x88391,x88395),x88396))
% 149.08/148.75 [9548]P103(f326(f62(x95481),x95482))+~P103(f326(f67(x95481,x95483,x95484,x95485,x95482),x95486))
% 149.08/148.75 [9556]~P103(f326(f326(f328(x95564),x95563),f294(x95564,x95565,x95561,x95562,x95566)))+P103(f326(f326(x95561,x95562),x95563))
% 149.08/148.75 [9557]~P103(f326(f326(f328(x95574),x95573),f291(x95574,x95571,x95575,x95572,x95576)))+P103(f326(f326(x95571,x95572),x95573))
% 149.08/148.75 [9558]~P103(f326(f326(f328(x95584),x95582),f294(x95584,x95581,x95585,x95586,x95583)))+P103(f326(f326(x95581,x95582),x95583))
% 149.08/148.75 [9559]~P103(f326(f326(f328(x95594),x95592),f291(x95594,x95595,x95591,x95596,x95593)))+P103(f326(f326(x95591,x95592),x95593))
% 149.08/148.75 [5748]E(x57481,x57482)+~E(f326(f326(f261(x57483,x57484),x57485),x57481),f326(f326(f261(x57483,x57484),x57486),x57482))
% 149.08/148.75 [5750]E(x57501,x57502)+~E(f326(f326(f261(x57503,x57504),x57501),x57505),f326(f326(f261(x57503,x57504),x57502),x57506))
% 149.08/148.75 [5874]~P12(x58745,x58746,x58741)+E(f326(f326(x58741,x58742),f326(f326(x58741,x58743),x58744)),f326(f326(x58741,x58743),f326(f326(x58741,x58742),x58744)))
% 149.08/148.75 [7293]~P32(x72934,x72931,f326(f326(f147(x72934),x72932),x72935),f326(f326(f147(x72934),x72933),x72936))+P103(f326(f326(x72931,x72932),x72933))
% 149.08/148.75 [7660]P32(x76601,x76602,x76603,x76604)+~P32(x76601,x76602,f326(f326(f147(x76601),x76605),x76603),f326(f326(f147(x76601),x76606),x76604))
% 149.08/148.75 [8697]~P52(x86975,x86971,x86972,x86976,x86974)+P103(f326(f326(f328(x86971),f326(x86972,x86973)),x86974))
% 149.08/148.75 [8867]E(f326(f77(x88671,x88672,x88673,x88674,x88675),x88676),f326(x88673,x88676))+P103(f326(f326(f328(x88671),x88676),x88675))
% 149.08/148.75 [8889]~E(x88893,f326(f326(f147(x88891),x88895),x88896))+P103(f326(f326(f328(f879(f873(x88891),f873(x88891))),f326(f326(f261(f873(x88891),f873(x88891)),x88892),f326(f326(f126(x88891),x88892),x88893))),f143(x88891,x88894)))
% 149.08/148.75 [8896]E(f326(f77(x88961,x88962,x88963,x88964,x88965),x88966),f326(x88964,x88966))+~P103(f326(f326(f328(x88961),x88966),x88965))
% 149.08/148.75 [8901]E(f326(f183(x89011,x89012,x89013,x89014,x89015),x89016),f326(x89013,x89016))+P103(f326(f326(f328(x89011),x89016),f326(f168(x89011),x89014)))
% 149.08/148.75 [9128]~P34(x91281,x91282,x91283,x91285,x91286)+P34(x91281,x91282,x91283,f326(f326(f171(x91281),x91284),x91285),f326(f326(f171(x91282),x91284),x91286))
% 149.08/148.75 [9129]~P34(x91291,x91292,x91293,x91295,x91296)+P34(x91291,x91292,x91293,f326(f326(f134(x91291),x91294),x91295),f326(f326(f134(x91292),x91294),x91296))
% 149.08/148.75 [9620]~P19(x96204,x96202,x96205,x96203,x96206,x96201)+E(f326(x96201,f190(f880(x96202,a866))),x96203)
% 149.08/148.75 [9863]~E(f326(x98634,f326(f260(x98631,x98633),x98635)),f326(x98636,f326(f260(x98631,x98633),x98635)))+E(f326(f266(x98631,x98632,x98633,x98633,x98634,f35(x98633)),x98635),f326(f266(x98631,x98632,x98633,x98633,x98636,f35(x98633)),x98635))
% 149.08/148.75 [9864]~E(f326(x98644,f326(f264(x98641,x98642),x98645)),f326(x98646,f326(f264(x98641,x98642),x98645)))+E(f326(f266(x98641,x98641,x98642,x98643,f35(x98641),x98644),x98645),f326(f266(x98641,x98641,x98642,x98643,f35(x98641),x98646),x98645))
% 149.08/148.75 [9909]~E(f326(f266(x99092,x99096,x99093,x99093,x99091,f35(x99093)),x99094),f326(f266(x99092,x99096,x99093,x99093,x99095,f35(x99093)),x99094))+E(f326(x99091,f326(f260(x99092,x99093),x99094)),f326(x99095,f326(f260(x99092,x99093),x99094)))
% 149.08/148.75 [9910]~E(f326(f266(x99102,x99102,x99103,x99106,f35(x99102),x99101),x99104),f326(f266(x99102,x99102,x99103,x99106,f35(x99102),x99105),x99104))+E(f326(x99101,f326(f264(x99102,x99103),x99104)),f326(x99105,f326(f264(x99102,x99103),x99104)))
% 149.08/148.75 [8794]P103(f326(f326(f328(x87941),x87942),x87943))+~P103(f326(f326(f328(f879(x87941,x87944)),f326(f326(f261(x87941,x87944),x87942),x87945)),f326(f326(f263(x87941,x87944),x87943),x87946)))
% 149.08/148.75 [8809]P103(f326(f326(f328(x88091),x88092),f326(x88093,x88094)))+~P103(f326(f326(f328(f879(x88095,x88091)),f326(f326(f261(x88095,x88091),x88094),x88092)),f326(f326(f263(x88095,x88091),x88096),x88093)))
% 149.08/148.75 [8898]~E(f326(f191(f873(x88981)),x88984),f326(f191(f873(x88982)),x88985))+E(f183(x88981,x88982,x88983,x88984,f326(f326(f126(x88982),x88985),x88986)),f183(x88981,x88982,x88983,x88984,x88985))
% 149.08/148.75 [8899]~E(f326(f191(f873(x88991)),x88994),f326(f191(f873(x88992)),x88996))+E(f183(x88991,x88992,x88993,f326(f326(f126(x88991),x88994),x88995),x88996),f183(x88991,x88992,x88993,x88994,x88996))
% 149.08/148.75 [9149]P103(f326(f326(f328(x91491),x91494),f180(x91491,x91492,x91496)))+E(f181(x91491,x91492,f326(f326(f326(f73(x91491,f876(x91492)),x91493),x91494),f326(f233(x91492),x91495)),x91496),f326(f326(f326(f73(x91491,f876(x91492)),f181(x91491,x91492,x91493,x91496)),x91494),f326(f233(x91492),x91495)))
% 149.08/148.75 [9248]P103(f326(f326(f328(f879(x92481,x92481)),f326(f326(f261(x92481,x92481),f326(x92482,x92483)),f326(x92482,x92484))),x92485))+~P103(f326(f326(f328(f879(x92486,x92486)),f326(f326(f261(x92486,x92486),x92483),x92484)),f326(f326(f282(x92481,x92486),x92485),x92482)))
% 149.08/148.75 [9268]~P103(f326(f326(f328(f879(x92684,x92684)),f326(f326(f261(x92684,x92684),f326(x92686,x92682)),f326(x92686,x92683))),x92685))+P103(f326(f326(f328(f879(x92681,x92681)),f326(f326(f261(x92681,x92681),x92682),x92683)),f326(f326(f282(x92684,x92681),x92685),x92686)))
% 149.08/148.75 [9912]E(f326(f326(f261(x99121,x99122),f671(x99123,x99124,x99125,x99126,x99122,x99121)),f672(x99123,x99124,x99125,x99126,x99122,x99121)),x99126)+~P103(f326(f326(f328(f879(x99121,x99122)),x99126),f326(f326(f283(x99121,x99125,x99122),x99124),x99123)))
% 149.08/148.75 [10112]~P103(f326(f326(f328(f879(x101121,x101126)),x101125),f326(f326(f283(x101121,x101122,x101126),x101124),x101123)))+P103(f326(f326(f328(f879(x101121,x101122)),f326(f326(f261(x101121,x101122),f671(x101123,x101124,x101122,x101125,x101126,x101121)),f673(x101123,x101124,x101122,x101125,x101126,x101121))),x101124))
% 149.08/148.75 [10113]~P103(f326(f326(f328(f879(x101136,x101132)),x101135),f326(f326(f283(x101136,x101131,x101132),x101134),x101133)))+P103(f326(f326(f328(f879(x101131,x101132)),f326(f326(f261(x101131,x101132),f673(x101133,x101134,x101131,x101135,x101132,x101136)),f672(x101133,x101134,x101131,x101135,x101132,x101136))),x101133))
% 149.08/148.75 [6157]~E(x61576,x61574)+E(f326(f326(f326(f326(f73(x61571,x61572),x61573),x61574),x61575),x61576),x61575)
% 149.08/148.75 [6205]E(x62051,x62052)+E(f326(f326(f326(f326(f73(x62053,x62054),x62055),x62052),x62056),x62051),f326(x62055,x62051))
% 149.08/148.75 [7730]~P26(x77302)+E(f326(f326(f42(x77301,x77302),x77303),f326(f326(f7(x77301,x77304,x77302),x77305),x77306)),f326(f326(f326(f42(x77301,f880(x77304,x77302)),x77303),x77305),x77306))
% 149.08/148.75 [7731]~P26(x77312)+E(f326(f326(f43(x77311,x77312),x77313),f326(f326(f7(x77311,x77314,x77312),x77315),x77316)),f326(f326(f326(f43(x77311,f880(x77314,x77312)),x77313),x77315),x77316))
% 149.08/148.75 [8517]E(f326(f326(f42(x85171,f880(x85172,a866)),x85173),f326(f326(f8(f880(x85172,a866),f880(x85172,a866),x85171),f326(f304(x85172),x85174)),x85175)),f326(f326(f304(x85172),x85174),f326(f326(f42(x85171,f880(x85172,a866)),x85173),x85175)))+~P103(f326(f326(f328(x85171),x85176),x85173))
% 149.08/148.75 [8951]~P26(x89512)+E(f326(f326(f42(x89511,x89512),x89513),f326(f326(f8(f880(x89514,x89512),x89512,x89511),f326(f42(x89514,x89512),x89515)),f326(f7(x89514,x89511,x89512),x89516))),f326(f326(f42(x89514,x89512),x89515),f326(f326(f8(f880(x89511,x89512),x89512,x89514),f326(f42(x89511,x89512),x89513)),x89516)))
% 149.08/148.75 [8952]~P26(x89522)+E(f326(f326(f43(x89521,x89522),x89523),f326(f326(f8(f880(x89524,x89522),x89522,x89521),f326(f43(x89524,x89522),x89525)),f326(f7(x89524,x89521,x89522),x89526))),f326(f326(f43(x89524,x89522),x89525),f326(f326(f8(f880(x89521,x89522),x89522,x89524),f326(f43(x89521,x89522),x89523)),x89526)))
% 149.08/148.75 [9158]P103(f326(f326(f328(x91581),x91582),f326(f168(x91581),x91583)))+~P103(f326(f326(f328(f879(x91584,x91581)),f326(f326(f261(x91584,x91581),x91585),x91582)),f326(f168(f879(x91584,x91581)),f326(f326(f178(x91584,x91581),x91586),x91583))))
% 149.08/148.75 [9159]P103(f326(f326(f328(x91591),x91592),f326(f168(x91591),x91593)))+~P103(f326(f326(f328(f879(x91591,x91594)),f326(f326(f261(x91591,x91594),x91592),x91595)),f326(f168(f879(x91591,x91594)),f326(f326(f178(x91591,x91594),x91593),x91596))))
% 149.08/148.75 [9262]P103(f326(f326(f240(f880(x92621,a866)),f326(f280(x92622,x92621,x92623),x92624)),x92625))+~P103(f326(f326(f240(f880(f879(x92622,x92621),a866)),x92623),f326(f326(f263(x92622,x92621),x92626),f326(f16(f880(x92621,a866),x92622),x92625))))
% 149.08/148.75 [9453]P103(f326(f326(f328(f879(f873(x94531),f873(x94531))),f326(f326(f261(f873(x94531),f873(x94531)),f326(f326(f147(x94531),x94532),x94533)),f326(f326(f147(x94531),x94534),x94535))),f143(x94531,x94536)))+~P103(f326(f326(f328(f879(x94531,x94531)),f326(f326(f261(x94531,x94531),x94532),x94534)),x94536))
% 149.08/148.75 [9908]E(f326(f326(f261(x99081,x99082),f613(x99083,x99084,x99085,x99082,x99081,x99086)),f614(x99083,x99084,x99085,x99082,x99081,x99086)),x99086)+P103(f326(f326(f328(x99085),x99084),f326(f326(f265(x99081,x99082,f880(x99085,a866)),x99083),x99086)))
% 149.08/148.75 [9914]E(f326(f326(f261(x99141,x99142),f615(x99143,x99144,x99142,x99141,x99145,x99146)),f616(x99143,x99144,x99142,x99141,x99145,x99146)),x99143)+~P103(f326(f326(f328(x99146),x99145),f326(f326(f265(x99141,x99142,f880(x99146,a866)),x99144),x99143)))
% 149.08/148.75 [10071]P103(f326(f326(f328(x100711),x100712),f326(f326(x100713,f615(x100714,x100713,x100715,x100716,x100712,x100711)),f616(x100714,x100713,x100715,x100716,x100712,x100711))))+~P103(f326(f326(f328(x100711),x100712),f326(f326(f265(x100716,x100715,f880(x100711,a866)),x100713),x100714)))
% 149.08/148.75 [10090]~P103(f326(f326(f328(x100901),x100902),f326(f326(x100905,f613(x100905,x100902,x100901,x100904,x100903,x100906)),f614(x100905,x100902,x100901,x100904,x100903,x100906))))+P103(f326(f326(f328(x100901),x100902),f326(f326(f265(x100903,x100904,f880(x100901,a866)),x100905),x100906)))
% 149.08/148.75 [7849]P103(f326(f326(f328(x78491),x78494),x78496))+E(f184(x78491,x78492,f326(f326(f326(f73(x78491,f876(x78492)),x78493),x78494),x78495),x78496),f184(x78491,x78492,x78493,x78496))
% 149.08/148.75 [7926]P103(f326(f326(f328(x79261),x79264),x79266))+E(f326(f305(x79261,x79262,f326(f326(f326(f73(x79261,x79262),x79263),x79264),x79265)),x79266),f326(f305(x79261,x79262,x79263),x79266))
% 149.08/148.75 [7953]P103(f326(f326(f328(x79531),x79534),f326(f168(x79531),x79536)))+E(f326(f326(f150(x79531,x79532),f326(f326(f326(f73(x79531,x79532),x79533),x79534),x79535)),x79536),f326(f326(f150(x79531,x79532),x79533),x79536))
% 149.08/148.75 [8412]E(x84121,x84122)+E(f326(f326(f155(x84123,f326(f326(f155(x84123,x84124),x84121),x84125)),x84122),x84126),f326(f326(f155(x84123,f326(f326(f155(x84123,x84124),x84122),x84126)),x84121),x84125))
% 149.08/148.75 [8957]~P103(f326(f326(f328(x89573),x89576),x89575))+E(f326(f326(f304(x89571),x89572),f326(f305(x89573,x89571,x89574),f326(f326(f22(f880(x89573,a866)),x89575),f326(f326(f304(x89573),x89576),f190(f880(x89573,a866)))))),f326(f305(x89573,x89571,f326(f326(f326(f73(x89573,x89571),x89574),x89576),x89572)),x89575))
% 149.08/148.75 [9725]E(f183(x97251,x97252,x97253,f326(f326(f126(x97251),x97254),f326(f326(f147(x97251),x97255),f118(x97251))),x97256),f326(f326(f326(f73(x97251,f876(x97252)),f183(x97251,x97252,x97253,x97254,x97256)),x97255),f326(f233(x97252),f326(f326(f161(x97252),x97256),f326(f191(f873(x97251)),x97254)))))+~P103(f326(f326(f241(a872),f326(f191(f873(x97251)),x97254)),f326(f191(f873(x97252)),x97256)))
% 149.08/148.75 [8736]~E(x87363,x87366)+E(f326(f326(f174(x87361,x87362),f326(f326(f147(f879(x87361,x87362)),f326(f326(f261(x87361,x87362),x87363),x87364)),x87365)),x87366),f326(f233(x87362),x87364))
% 149.08/148.75 [8764]E(x87641,x87642)+E(f326(f326(f174(x87643,x87644),f326(f326(f147(f879(x87643,x87644)),f326(f326(f261(x87643,x87644),x87641),x87645)),x87646)),x87642),f326(f326(f174(x87643,x87644),x87646),x87642))
% 149.08/148.75 [9033]~P103(f326(f326(x90334,x90335),x90336))+P103(f326(f326(f326(f326(f115(f880(x90331,f880(x90332,a866))),x90333),x90334),x90335),x90336))
% 149.08/148.75 [9035]~P103(f326(f326(x90353,x90355),x90356))+P103(f326(f326(f326(f326(f115(f880(x90351,f880(x90352,a866))),x90353),x90354),x90355),x90356))
% 149.08/148.75 [9319]P103(f326(f326(x93191,x93192),x93193))+~P103(f326(f326(f326(f326(f106(f880(x93194,f880(x93195,a866))),x93196),x93191),x93192),x93193))
% 149.08/148.75 [9320]P103(f326(f326(x93201,x93202),x93203))+~P103(f326(f326(f326(f326(f106(f880(x93204,f880(x93205,a866))),x93201),x93206),x93202),x93203))
% 149.08/148.75 [9747]~P72(x97472)+E(f326(f326(f6(x97471,x97472),f326(f326(f7(x97471,f880(x97473,a866),x97472),f326(f326(f8(f880(x97473,x97472),f880(f880(x97473,a866),x97472),x97471),f6(x97473,x97472)),x97474)),x97475)),x97476),f326(f326(f6(f879(x97471,x97473),x97472),f326(f265(x97471,x97473,x97472),x97474)),f326(f326(f263(x97471,x97473),x97476),f326(f16(f880(x97473,a866),x97471),x97475))))
% 149.08/148.75 [9748]~P73(x97482)+E(f326(f326(f9(x97481,x97482),f326(f326(f7(x97481,f880(x97483,a866),x97482),f326(f326(f8(f880(x97483,x97482),f880(f880(x97483,a866),x97482),x97481),f9(x97483,x97482)),x97484)),x97485)),x97486),f326(f326(f9(f879(x97481,x97483),x97482),f326(f265(x97481,x97483,x97482),x97484)),f326(f326(f263(x97481,x97483),x97486),f326(f16(f880(x97483,a866),x97481),x97485))))
% 149.08/148.75 [9891]~P72(x98912)+E(f326(f326(f6(x98911,x98912),f326(f326(f7(x98911,f880(x98913,a866),x98912),f326(f326(f8(f880(x98913,x98912),f880(f880(x98913,a866),x98912),x98911),f6(x98913,x98912)),f326(f7(x98913,x98911,x98912),x98914))),x98915)),x98916),f326(f326(f6(x98913,x98912),f326(f326(f7(x98913,f880(x98911,a866),x98912),f326(f326(f8(f880(x98911,x98912),f880(f880(x98911,a866),x98912),x98913),f6(x98911,x98912)),x98914)),x98916)),x98915))
% 149.08/148.75 [9589]~P103(f326(f326(f328(x95891),x95895),x95894))+E(f326(f326(f326(f73(x95891,f876(x95892)),f184(x95891,x95892,x95893,f326(f326(f22(f880(x95891,a866)),x95894),f326(f326(f304(x95891),x95895),f190(f880(x95891,a866)))))),x95895),x95896),f184(x95891,x95892,f326(f326(f326(f73(x95891,f876(x95892)),x95893),x95895),x95896),x95894))
% 149.08/148.75 [10168]~P103(f326(f326(f328(f879(x101681,x101682)),f326(f326(f261(x101681,x101682),x101685),x101686)),f326(f326(f115(f880(f879(x101681,x101682),a866)),x101683),x101684)))+P103(f326(f326(f326(f326(f115(f880(x101681,f880(x101682,a866))),f326(f326(f7(x101681,f880(f879(x101681,x101682),a866),f880(x101682,a866)),f326(f326(f8(f880(x101682,f880(f880(f879(x101681,x101682),a866),a866)),f880(f880(f879(x101681,x101682),a866),f880(x101682,a866)),x101681),f7(x101682,f880(f879(x101681,x101682),a866),a866)),f326(f326(f8(f880(x101682,f879(x101681,x101682)),f880(x101682,f880(f880(f879(x101681,x101682),a866),a866)),x101681),f326(f8(f879(x101681,x101682),f880(f880(f879(x101681,x101682),a866),a866),x101682),f328(f879(x101681,x101682)))),f261(x101681,x101682)))),x101683)),f326(f326(f7(x101681,f880(f879(x101681,x101682),a866),f880(x101682,a866)),f326(f326(f8(f880(x101682,f880(f880(f879(x101681,x101682),a866),a866)),f880(f880(f879(x101681,x101682),a866),f880(x101682,a866)),x101681),f7(x101682,f880(f879(x101681,x101682),a866),a866)),f326(f326(f8(f880(x101682,f879(x101681,x101682)),f880(x101682,f880(f880(f879(x101681,x101682),a866),a866)),x101681),f326(f8(f879(x101681,x101682),f880(f880(f879(x101681,x101682),a866),a866),x101682),f328(f879(x101681,x101682)))),f261(x101681,x101682)))),x101684)),x101685),x101686))
% 149.08/148.75 [10169]~P103(f326(f326(f328(f879(x101691,x101692)),f326(f326(f261(x101691,x101692),x101695),x101696)),f326(f326(f106(f880(f879(x101691,x101692),a866)),x101693),x101694)))+P103(f326(f326(f326(f326(f106(f880(x101691,f880(x101692,a866))),f326(f326(f7(x101691,f880(f879(x101691,x101692),a866),f880(x101692,a866)),f326(f326(f8(f880(x101692,f880(f880(f879(x101691,x101692),a866),a866)),f880(f880(f879(x101691,x101692),a866),f880(x101692,a866)),x101691),f7(x101692,f880(f879(x101691,x101692),a866),a866)),f326(f326(f8(f880(x101692,f879(x101691,x101692)),f880(x101692,f880(f880(f879(x101691,x101692),a866),a866)),x101691),f326(f8(f879(x101691,x101692),f880(f880(f879(x101691,x101692),a866),a866),x101692),f328(f879(x101691,x101692)))),f261(x101691,x101692)))),x101693)),f326(f326(f7(x101691,f880(f879(x101691,x101692),a866),f880(x101692,a866)),f326(f326(f8(f880(x101692,f880(f880(f879(x101691,x101692),a866),a866)),f880(f880(f879(x101691,x101692),a866),f880(x101692,a866)),x101691),f7(x101692,f880(f879(x101691,x101692),a866),a866)),f326(f326(f8(f880(x101692,f879(x101691,x101692)),f880(x101692,f880(f880(f879(x101691,x101692),a866),a866)),x101691),f326(f8(f879(x101691,x101692),f880(f880(f879(x101691,x101692),a866),a866),x101692),f328(f879(x101691,x101692)))),f261(x101691,x101692)))),x101694)),x101695),x101696))
% 149.08/148.75 [10175]P103(f326(f326(f328(f879(x101751,x101752)),f326(f326(f261(x101751,x101752),x101753),x101754)),f326(f326(f115(f880(f879(x101751,x101752),a866)),x101755),x101756)))+~P103(f326(f326(f326(f326(f115(f880(x101751,f880(x101752,a866))),f326(f326(f7(x101751,f880(f879(x101751,x101752),a866),f880(x101752,a866)),f326(f326(f8(f880(x101752,f880(f880(f879(x101751,x101752),a866),a866)),f880(f880(f879(x101751,x101752),a866),f880(x101752,a866)),x101751),f7(x101752,f880(f879(x101751,x101752),a866),a866)),f326(f326(f8(f880(x101752,f879(x101751,x101752)),f880(x101752,f880(f880(f879(x101751,x101752),a866),a866)),x101751),f326(f8(f879(x101751,x101752),f880(f880(f879(x101751,x101752),a866),a866),x101752),f328(f879(x101751,x101752)))),f261(x101751,x101752)))),x101755)),f326(f326(f7(x101751,f880(f879(x101751,x101752),a866),f880(x101752,a866)),f326(f326(f8(f880(x101752,f880(f880(f879(x101751,x101752),a866),a866)),f880(f880(f879(x101751,x101752),a866),f880(x101752,a866)),x101751),f7(x101752,f880(f879(x101751,x101752),a866),a866)),f326(f326(f8(f880(x101752,f879(x101751,x101752)),f880(x101752,f880(f880(f879(x101751,x101752),a866),a866)),x101751),f326(f8(f879(x101751,x101752),f880(f880(f879(x101751,x101752),a866),a866),x101752),f328(f879(x101751,x101752)))),f261(x101751,x101752)))),x101756)),x101753),x101754))
% 149.08/148.75 [10176]P103(f326(f326(f328(f879(x101761,x101762)),f326(f326(f261(x101761,x101762),x101763),x101764)),f326(f326(f106(f880(f879(x101761,x101762),a866)),x101765),x101766)))+~P103(f326(f326(f326(f326(f106(f880(x101761,f880(x101762,a866))),f326(f326(f7(x101761,f880(f879(x101761,x101762),a866),f880(x101762,a866)),f326(f326(f8(f880(x101762,f880(f880(f879(x101761,x101762),a866),a866)),f880(f880(f879(x101761,x101762),a866),f880(x101762,a866)),x101761),f7(x101762,f880(f879(x101761,x101762),a866),a866)),f326(f326(f8(f880(x101762,f879(x101761,x101762)),f880(x101762,f880(f880(f879(x101761,x101762),a866),a866)),x101761),f326(f8(f879(x101761,x101762),f880(f880(f879(x101761,x101762),a866),a866),x101762),f328(f879(x101761,x101762)))),f261(x101761,x101762)))),x101765)),f326(f326(f7(x101761,f880(f879(x101761,x101762),a866),f880(x101762,a866)),f326(f326(f8(f880(x101762,f880(f880(f879(x101761,x101762),a866),a866)),f880(f880(f879(x101761,x101762),a866),f880(x101762,a866)),x101761),f7(x101762,f880(f879(x101761,x101762),a866),a866)),f326(f326(f8(f880(x101762,f879(x101761,x101762)),f880(x101762,f880(f880(f879(x101761,x101762),a866),a866)),x101761),f326(f8(f879(x101761,x101762),f880(f880(f879(x101761,x101762),a866),a866),x101762),f328(f879(x101761,x101762)))),f261(x101761,x101762)))),x101766)),x101763),x101764))
% 149.08/148.75 [10162]~P103(f326(f326(f328(f879(x101622,x101623)),f326(f326(f261(x101622,x101623),x101625),x101626)),f326(f326(f42(x101621,f880(f879(x101622,x101623),a866)),f249(f880(x101621,a866))),x101624)))+P103(f326(f326(f326(f326(f42(x101621,f880(x101622,f880(x101623,a866))),f249(f880(x101621,a866))),f326(f326(f8(f880(f879(x101622,x101623),a866),f880(x101622,f880(x101623,a866)),x101621),f326(f7(x101622,f880(f879(x101622,x101623),a866),f880(x101623,a866)),f326(f326(f8(f880(x101623,f880(f880(f879(x101622,x101623),a866),a866)),f880(f880(f879(x101622,x101623),a866),f880(x101623,a866)),x101622),f7(x101623,f880(f879(x101622,x101623),a866),a866)),f326(f326(f8(f880(x101623,f879(x101622,x101623)),f880(x101623,f880(f880(f879(x101622,x101623),a866),a866)),x101622),f326(f8(f879(x101622,x101623),f880(f880(f879(x101622,x101623),a866),a866),x101623),f328(f879(x101622,x101623)))),f261(x101622,x101623))))),x101624)),x101625),x101626))
% 149.08/148.75 [10163]~P103(f326(f326(f328(f879(x101632,x101633)),f326(f326(f261(x101632,x101633),x101635),x101636)),f326(f326(f43(x101631,f880(f879(x101632,x101633),a866)),f249(f880(x101631,a866))),x101634)))+P103(f326(f326(f326(f326(f43(x101631,f880(x101632,f880(x101633,a866))),f249(f880(x101631,a866))),f326(f326(f8(f880(f879(x101632,x101633),a866),f880(x101632,f880(x101633,a866)),x101631),f326(f7(x101632,f880(f879(x101632,x101633),a866),f880(x101633,a866)),f326(f326(f8(f880(x101633,f880(f880(f879(x101632,x101633),a866),a866)),f880(f880(f879(x101632,x101633),a866),f880(x101633,a866)),x101632),f7(x101633,f880(f879(x101632,x101633),a866),a866)),f326(f326(f8(f880(x101633,f879(x101632,x101633)),f880(x101633,f880(f880(f879(x101632,x101633),a866),a866)),x101632),f326(f8(f879(x101632,x101633),f880(f880(f879(x101632,x101633),a866),a866),x101633),f328(f879(x101632,x101633)))),f261(x101632,x101633))))),x101634)),x101635),x101636))
% 149.08/148.75 [10172]P103(f326(f326(f328(f879(x101721,x101722)),f326(f326(f261(x101721,x101722),x101723),x101724)),f326(f326(f42(x101725,f880(f879(x101721,x101722),a866)),f249(f880(x101725,a866))),x101726)))+~P103(f326(f326(f326(f326(f42(x101725,f880(x101721,f880(x101722,a866))),f249(f880(x101725,a866))),f326(f326(f8(f880(f879(x101721,x101722),a866),f880(x101721,f880(x101722,a866)),x101725),f326(f7(x101721,f880(f879(x101721,x101722),a866),f880(x101722,a866)),f326(f326(f8(f880(x101722,f880(f880(f879(x101721,x101722),a866),a866)),f880(f880(f879(x101721,x101722),a866),f880(x101722,a866)),x101721),f7(x101722,f880(f879(x101721,x101722),a866),a866)),f326(f326(f8(f880(x101722,f879(x101721,x101722)),f880(x101722,f880(f880(f879(x101721,x101722),a866),a866)),x101721),f326(f8(f879(x101721,x101722),f880(f880(f879(x101721,x101722),a866),a866),x101722),f328(f879(x101721,x101722)))),f261(x101721,x101722))))),x101726)),x101723),x101724))
% 149.08/148.75 [10173]P103(f326(f326(f328(f879(x101731,x101732)),f326(f326(f261(x101731,x101732),x101733),x101734)),f326(f326(f43(x101735,f880(f879(x101731,x101732),a866)),f249(f880(x101735,a866))),x101736)))+~P103(f326(f326(f326(f326(f43(x101735,f880(x101731,f880(x101732,a866))),f249(f880(x101735,a866))),f326(f326(f8(f880(f879(x101731,x101732),a866),f880(x101731,f880(x101732,a866)),x101735),f326(f7(x101731,f880(f879(x101731,x101732),a866),f880(x101732,a866)),f326(f326(f8(f880(x101732,f880(f880(f879(x101731,x101732),a866),a866)),f880(f880(f879(x101731,x101732),a866),f880(x101732,a866)),x101731),f7(x101732,f880(f879(x101731,x101732),a866),a866)),f326(f326(f8(f880(x101732,f879(x101731,x101732)),f880(x101732,f880(f880(f879(x101731,x101732),a866),a866)),x101731),f326(f8(f879(x101731,x101732),f880(f880(f879(x101731,x101732),a866),a866),x101732),f328(f879(x101731,x101732)))),f261(x101731,x101732))))),x101736)),x101733),x101734))
% 149.08/148.75 [7406]E(f326(x74061,f326(x74062,x74063)),f326(x74064,x74063))+~E(f326(f74(x74065,x74066,x74067,x74061),x74062),x74064)
% 149.08/148.75 [9619]~P18(x96193,x96194,x96191,x96195,x96196,x96197)+E(f326(f326(x96191,x96192),x96192),x96192)
% 149.08/148.75 [9988]~E(f326(f235(f876(x99887),x99881,f193(x99887),x99885),f326(x99884,x99883)),f326(f233(x99887),x99882))+E(f326(f233(x99881),f373(x99882,x99883,x99884,x99885,x99886,x99887,x99881)),f326(x99884,x99883))
% 149.08/148.75 [9989]~E(f326(f235(f876(x99896),x99897,f193(x99896),x99891),f326(x99894,x99893)),f326(f233(x99896),x99892))+E(f326(x99891,f373(x99892,x99893,x99894,x99891,x99895,x99896,x99897)),f326(f233(x99896),x99892))
% 149.08/148.75 [5978]~E(f326(f326(f150(x59781,x59785),x59786),x59782),f326(f326(f150(x59783,x59785),x59787),x59784))+E(f326(f191(f873(x59781)),x59782),f326(f191(f873(x59783)),x59784))
% 149.08/148.75 [7484]E(x74841,x74842)+~E(f326(f326(f326(f73(x74843,f876(x74844)),x74845),x74846),f326(f233(x74844),x74841)),f326(f326(f326(f73(x74843,f876(x74844)),x74847),x74846),f326(f233(x74844),x74842)))
% 149.08/148.75 [8452]E(f326(x84521,f326(x84522,x84523)),f326(x84524,x84523))+~E(f326(f74(x84525,x84526,x84527,x84521),x84522),f326(f74(x84526,x84526,x84527,f35(x84526)),x84524))
% 149.08/148.75 [8783]~P34(x87834,x87835,x87831,f326(f326(f147(x87834),x87832),x87836),f326(f326(f147(x87835),x87833),x87837))+P103(f326(f326(x87831,x87832),x87833))
% 149.08/148.75 [9165]P34(x91651,x91652,x91653,x91654,x91655)+~P34(x91651,x91652,x91653,f326(f326(f147(x91651),x91656),x91654),f326(f326(f147(x91652),x91657),x91655))
% 149.08/148.75 [9786]P103(f326(f326(x97861,x97862),f563(x97863,x97862,x97864,x97861)))+~P103(f326(f326(f262(x97865,x97866,x97867,x97861,x97864),x97862),x97863))
% 149.08/148.75 [9807]P103(f326(f326(x98071,f563(x98072,x98073,x98071,x98074)),x98072))+~P103(f326(f326(f262(x98075,x98076,x98077,x98074,x98071),x98073),x98072))
% 149.08/148.75 [6023]E(x60231,x60232)+~E(f326(f326(f326(f93(x60233),x60234),x60235),x60231),f326(f326(f326(f93(x60233),x60236),x60237),x60232))
% 149.08/148.75 [6024]E(x60241,x60242)+~E(f326(f326(f326(f93(x60243),x60244),x60241),x60245),f326(f326(f326(f93(x60243),x60246),x60242),x60247))
% 149.08/148.75 [6025]E(x60251,x60252)+~E(f326(f326(f326(f93(x60253),x60251),x60254),x60255),f326(f326(f326(f93(x60253),x60252),x60256),x60257))
% 149.08/148.75 [8903]~P16(x89036,x89031,x89033,x89037)+E(f326(f74(x89031,x89031,x89032,f326(x89033,x89034)),f326(f74(x89031,x89031,x89032,f326(x89033,x89034)),x89035)),f326(f74(x89031,x89031,x89032,f326(x89033,x89034)),x89035))
% 149.08/148.75 [9271]~P34(x92713,x92712,x92714,f326(f326(f150(x92711,x92713),x92715),x92716),x92717)+P34(x92711,x92712,f326(f326(f8(x92713,f880(x92712,a866),x92711),x92714),x92715),x92716,x92717)
% 149.08/148.75 [9294]P34(x92941,x92942,x92943,f326(f326(f150(x92944,x92941),x92945),x92946),x92947)+~P34(x92944,x92942,f326(f326(f8(x92941,f880(x92942,a866),x92944),x92943),x92945),x92946,x92947)
% 149.08/148.75 [9705]E(f183(x97051,x97052,f326(f326(f326(f73(x97051,f876(x97052)),x97053),x97054),f326(f233(x97052),x97055)),x97056,x97057),f326(f326(f326(f73(x97051,f876(x97052)),f183(x97051,x97052,x97053,x97056,x97057)),x97054),f326(f233(x97052),x97055)))+P103(f326(f326(f328(x97051),x97054),f326(f168(x97051),x97056)))
% 149.08/148.75 [8902]~P103(f326(f326(f328(x89021),x89022),f326(f326(x89025,x89026),x89027)))+P103(f326(f326(f328(x89021),x89022),f326(f326(f265(x89023,x89024,f880(x89021,a866)),x89025),f326(f326(f261(x89023,x89024),x89026),x89027))))
% 149.08/148.75 [9191]P103(f326(f326(f326(x91911,x91912),x91913),x91914))+~P103(f326(f326(f326(f265(x91915,x91916,f880(x91917,a866)),x91911),f326(f326(f261(x91915,x91916),x91912),x91913)),x91914))
% 149.08/148.75 [9333]P103(f326(f326(f328(x93331),f326(f326(x93332,x93333),x93334)),f326(f305(f879(x93335,x93336),x93331,f326(f265(x93335,x93336,x93331),x93332)),x93337)))+~P103(f326(f326(f328(f879(x93335,x93336)),f326(f326(f261(x93335,x93336),x93333),x93334)),x93337))
% 149.08/148.75 [9666]P103(f326(f326(f328(f879(f873(x96661),f873(x96661))),f326(f326(f261(f873(x96661),f873(x96661)),f326(f326(f126(x96661),x96662),f326(f326(f147(x96661),x96663),x96664))),f326(f326(f126(x96661),x96662),f326(f326(f147(x96661),x96665),x96666)))),f143(x96661,x96667)))+~P103(f326(f326(f328(f879(x96661,x96661)),f326(f326(f261(x96661,x96661),x96663),x96665)),x96667))
% 149.08/148.75 [9727]~P34(x97271,x97273,x97274,x97276,f326(f326(f150(x97272,x97273),x97275),x97277))+P34(x97271,x97272,f326(f326(f7(x97271,f880(x97272,x97273),f880(x97272,a866)),f326(f326(f8(f880(x97273,a866),f880(f880(x97272,x97273),f880(x97272,a866)),x97271),f8(x97273,a866,x97272)),x97274)),x97275),x97276,x97277)
% 149.08/148.75 [9811]P34(x98111,x98112,x98113,x98114,f326(f326(f150(x98115,x98112),x98116),x98117))+~P34(x98111,x98115,f326(f326(f7(x98111,f880(x98115,x98112),f880(x98115,a866)),f326(f326(f8(f880(x98112,a866),f880(f880(x98115,x98112),f880(x98115,a866)),x98111),f8(x98112,a866,x98115)),x98113)),x98116),x98114,x98117)
% 149.08/148.75 [9183]E(x91831,x91832)+E(f326(f326(f326(f73(x91833,x91834),f326(f326(f326(f73(x91833,x91834),x91835),x91831),x91836)),x91832),x91837),f326(f326(f326(f73(x91833,x91834),f326(f326(f326(f73(x91833,x91834),x91835),x91832),x91837)),x91831),x91836))
% 149.08/148.75 [9427]E(f183(x94271,x94272,f326(f326(f326(f73(x94271,f876(x94272)),x94273),x94274),f326(f233(x94272),x94275)),x94276,x94277),f183(x94271,x94272,x94273,x94276,x94277))+~P103(f326(f326(f328(x94271),x94274),f326(f168(x94271),f326(f326(f171(x94271),f326(f191(f873(x94272)),x94277)),x94276))))
% 149.08/148.75 [9738]E(f183(x97381,x97382,f326(f326(f326(f73(x97381,f876(x97382)),x97383),x97384),f326(f233(x97382),x97385)),x97386,x97387),f326(f326(f326(f73(x97381,f876(x97382)),f183(x97381,x97382,x97383,x97386,x97387)),x97384),f326(f233(x97382),x97385)))+P103(f326(f326(f328(x97381),x97384),f326(f168(x97381),f326(f326(f171(x97381),f326(f191(f873(x97382)),x97387)),x97386))))
% 149.08/148.75 [10101]P103(f326(f326(f328(x101011),f359(x101012,x101013,x101014,x101015,x101016,x101017,x101011)),x101015))+P103(f326(f326(f326(f326(f43(x101011,f880(x101017,f880(x101016,a866))),x101015),x101014),x101013),x101012))
% 149.08/148.75 [10102]P103(f326(f326(f328(x101021),f700(x101022,x101023,x101024,x101025,x101026,x101027,x101021)),x101025))+~P103(f326(f326(f326(f326(f42(x101021,f880(x101027,f880(x101026,a866))),x101025),x101024),x101023),x101022))
% 149.08/148.75 [10127]P103(f326(f326(f326(x101271,f700(x101272,x101273,x101271,x101274,x101275,x101276,x101277)),x101273),x101272))+~P103(f326(f326(f326(f326(f42(x101277,f880(x101276,f880(x101275,a866))),x101274),x101271),x101273),x101272))
% 149.08/148.75 [10144]~P103(f326(f326(f326(x101445,f359(x101447,x101446,x101445,x101444,x101443,x101442,x101441)),x101446),x101447))+P103(f326(f326(f326(f326(f43(x101441,f880(x101442,f880(x101443,a866))),x101444),x101445),x101446),x101447))
% 149.08/148.75 [10161]~P103(f326(f326(f328(f879(x101611,x101613)),f326(f326(f261(x101611,x101613),x101616),x101617)),f326(f326(f283(x101611,x101612,x101613),x101614),x101615)))+P103(f326(f326(f262(x101611,x101612,x101613,f326(f326(f7(x101611,f880(f879(x101611,x101612),a866),f880(x101612,a866)),f326(f326(f8(f880(x101612,f880(f880(f879(x101611,x101612),a866),a866)),f880(f880(f879(x101611,x101612),a866),f880(x101612,a866)),x101611),f7(x101612,f880(f879(x101611,x101612),a866),a866)),f326(f326(f8(f880(x101612,f879(x101611,x101612)),f880(x101612,f880(f880(f879(x101611,x101612),a866),a866)),x101611),f326(f8(f879(x101611,x101612),f880(f880(f879(x101611,x101612),a866),a866),x101612),f328(f879(x101611,x101612)))),f261(x101611,x101612)))),x101614),f326(f326(f7(x101612,f880(f879(x101612,x101613),a866),f880(x101613,a866)),f326(f326(f8(f880(x101613,f880(f880(f879(x101612,x101613),a866),a866)),f880(f880(f879(x101612,x101613),a866),f880(x101613,a866)),x101612),f7(x101613,f880(f879(x101612,x101613),a866),a866)),f326(f326(f8(f880(x101613,f879(x101612,x101613)),f880(x101613,f880(f880(f879(x101612,x101613),a866),a866)),x101612),f326(f8(f879(x101612,x101613),f880(f880(f879(x101612,x101613),a866),a866),x101613),f328(f879(x101612,x101613)))),f261(x101612,x101613)))),x101615)),x101616),x101617))
% 149.08/148.75 [10171]P103(f326(f326(f328(f879(x101711,x101712)),f326(f326(f261(x101711,x101712),x101713),x101714)),f326(f326(f283(x101711,x101715,x101712),x101716),x101717)))+~P103(f326(f326(f262(x101711,x101715,x101712,f326(f326(f7(x101711,f880(f879(x101711,x101715),a866),f880(x101715,a866)),f326(f326(f8(f880(x101715,f880(f880(f879(x101711,x101715),a866),a866)),f880(f880(f879(x101711,x101715),a866),f880(x101715,a866)),x101711),f7(x101715,f880(f879(x101711,x101715),a866),a866)),f326(f326(f8(f880(x101715,f879(x101711,x101715)),f880(x101715,f880(f880(f879(x101711,x101715),a866),a866)),x101711),f326(f8(f879(x101711,x101715),f880(f880(f879(x101711,x101715),a866),a866),x101715),f328(f879(x101711,x101715)))),f261(x101711,x101715)))),x101716),f326(f326(f7(x101715,f880(f879(x101715,x101712),a866),f880(x101712,a866)),f326(f326(f8(f880(x101712,f880(f880(f879(x101715,x101712),a866),a866)),f880(f880(f879(x101715,x101712),a866),f880(x101712,a866)),x101715),f7(x101712,f880(f879(x101715,x101712),a866),a866)),f326(f326(f8(f880(x101712,f879(x101715,x101712)),f880(x101712,f880(f880(f879(x101715,x101712),a866),a866)),x101715),f326(f8(f879(x101715,x101712),f880(f880(f879(x101715,x101712),a866),a866),x101712),f328(f879(x101715,x101712)))),f261(x101715,x101712)))),x101717)),x101713),x101714))
% 149.08/148.75 [10111]~P141(x101112)+E(f326(f326(f6(x101111,x101112),f326(f326(f7(x101111,f880(x101113,a866),x101112),f326(f326(f8(f880(x101113,x101112),f880(f880(x101113,a866),x101112),x101111),f6(x101113,x101112)),f326(f326(f7(x101111,f880(x101113,x101112),f880(x101113,x101112)),f326(f326(f8(f880(x101112,x101112),f880(f880(x101113,x101112),f880(x101113,x101112)),x101111),f8(x101112,x101112,x101113)),f326(f326(f8(x101112,f880(x101112,x101112),x101111),f82(x101112)),x101114))),x101115))),x101116)),x101117),f326(f326(f82(x101112),f326(f326(f6(x101111,x101112),x101114),x101117)),f326(f326(f6(x101113,x101112),x101115),x101116)))
% 149.08/148.75 [9224]~P15(x92247,x92241,x92243,x92248)+E(f326(f74(x92241,x92241,x92242,f326(x92243,x92244)),f326(f74(x92241,x92241,x92242,f326(x92243,x92245)),x92246)),f326(f74(x92241,x92241,x92242,f326(x92243,x92245)),f326(f74(x92241,x92241,x92242,f326(x92243,x92244)),x92246)))
% 149.08/148.75 [10166]E(f326(f326(f261(x101661,x101662),f326(x101663,f590(x101664,x101665,x101663,x101666,x101667,x101668,x101662,x101661))),f326(x101665,f591(x101664,x101665,x101663,x101666,x101667,x101668,x101662,x101661))),x101668)+~P103(f326(f326(f328(f879(x101661,x101662)),x101668),f326(f305(f879(x101667,x101666),f879(x101661,x101662),f266(x101667,x101661,x101666,x101662,x101663,x101665)),x101664)))
% 149.08/148.75 [10182]~P103(f326(f326(f328(f879(x101828,x101827)),x101826),f326(f305(f879(x101821,x101822),f879(x101828,x101827),f266(x101821,x101828,x101822,x101827,x101825,x101824)),x101823)))+P103(f326(f326(f328(f879(x101821,x101822)),f326(f326(f261(x101821,x101822),f590(x101823,x101824,x101825,x101822,x101821,x101826,x101827,x101828)),f591(x101823,x101824,x101825,x101822,x101821,x101826,x101827,x101828))),x101823))
% 149.08/148.75 [9656]P103(f326(f326(f328(f879(f879(x96561,x96562),f879(x96561,x96562))),f326(f326(f261(f879(x96561,x96562),f879(x96561,x96562)),f326(f326(f261(x96561,x96562),x96563),x96564)),f326(f326(f261(x96561,x96562),x96565),x96566))),f318(x96561,x96562,x96567,x96568)))+~P103(f326(f326(f328(f879(x96561,x96561)),f326(f326(f261(x96561,x96561),x96563),x96565)),x96567))
% 149.08/148.75 [10154]E(f326(f138(x101541,x101542,f326(f7(x101542,x101541,x101541),x101543),f326(x101544,x101545)),x101546),f326(x101544,f326(f138(x101547,x101542,f326(f7(x101542,x101547,x101547),x101548),x101545),x101546)))+P103(f326(f326(f328(x101542),f767(x101545,x101548,x101544,x101543,x101547,x101541,x101546,x101542)),f326(f168(x101542),x101546)))
% 149.08/148.75 [10174]~E(f326(f74(x101741,x101741,x101747,f326(x101743,f767(x101745,x101748,x101744,x101743,x101747,x101741,x101746,x101742))),x101744),f326(f74(x101747,x101741,x101747,x101744),f326(x101748,f767(x101745,x101748,x101744,x101743,x101747,x101741,x101746,x101742))))+E(f326(f138(x101741,x101742,f326(f7(x101742,x101741,x101741),x101743),f326(x101744,x101745)),x101746),f326(x101744,f326(f138(x101747,x101742,f326(f7(x101742,x101747,x101747),x101748),x101745),x101746)))
% 149.08/148.75 [8458]E(f326(x84581,f326(x84582,x84583)),f326(x84584,f326(x84585,x84583)))+~E(f326(f74(x84586,x84587,x84588,x84581),x84582),f326(f74(x84589,x84587,x84588,x84584),x84585))
% 149.08/148.75 [10040]P103(f326(f326(f328(f879(x100401,x100402)),f326(f326(f261(x100401,x100402),f326(x100403,x100404)),f326(x100405,x100406))),f326(f305(f879(x100407,x100408),f879(x100401,x100402),f266(x100407,x100401,x100408,x100402,x100403,x100405)),x100409)))+~P103(f326(f326(f328(f879(x100407,x100408)),f326(f326(f261(x100407,x100408),x100404),x100406)),x100409))
% 149.08/148.75 [8730]~E(f326(x87304,f326(x87305,x87306)),f326(x87309,f326(x873010,x873011)))+E(f326(f326(f74(x87301,x87302,x87303,x87304),x87305),x87306),f326(f326(f74(x87307,x87302,x87308,x87309),x873010),x873011))
% 149.08/148.75 [4571]~P105(x45711)+~P100(x45711)+E(f106(x45711),f238(x45711))
% 149.08/148.75 [4572]~P105(x45721)+~P63(x45721)+E(f115(x45721),f239(x45721))
% 149.08/148.75 [4816]~P109(x48161)+~P93(x48161)+E(f326(f76(x48161),f326(f108(x48161),a102)),f79(x48161))
% 149.08/148.75 [5092]E(x50921,f2(a1))+E(f83(a1,x50921),f326(f80(a1),f79(a1)))+P103(f326(f326(f241(a1),f2(a1)),x50921))
% 149.08/148.75 [5308]E(x53081,f2(a1))+E(f83(a1,x53081),f79(a1))+~P103(f326(f326(f241(a1),f2(a1)),x53081))
% 149.08/148.75 [7297]~P39(x72971)+P103(f326(f62(a1),x72971))+~P103(f326(f62(a872),f326(f305(a1,a872,a109),x72971)))
% 149.08/148.75 [8559]~P4(a5000)+~P103(f326(f326(f328(f879(a869,a868)),x85591),f326(f168(f879(a869,a868)),a27)))+P103(f326(f326(f265(a869,a868,a866),f326(f16(f880(a868,a866),a869),a25)),x85591))
% 149.08/148.75 [9618]E(x96181,f190(f880(f879(a872,a872),a866)))+~P103(f326(f62(f879(a872,a872)),x96181))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f190(f880(f879(a872,a872),a866))),x96181)),a37))
% 149.08/148.75 [9787]E(x97871,f2(a872))+E(x97871,f326(a117,f2(a872)))+~P103(f326(f326(f241(a872),x97871),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [10068]E(x100681,f2(a104))+E(f326(f326(f81(a1),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(a20,f326(f326(f39(a104),x100681),f326(f108(a104),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))),f79(a1)),f326(a20,x100681))+E(f45(a104,x100681,f326(f108(a104),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f2(a104))
% 149.08/148.75 [9919]E(x99191,f2(a104))+~E(f45(a104,x99191,f326(f108(a104),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f2(a104))+E(f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(a20,f326(f326(f39(a104),x99191),f326(f108(a104),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f326(a20,x99191))
% 149.08/148.75 [4646]~P53(x46461,x46462)+P42(x46461,x46462)+~P43(a866)
% 149.08/148.75 [4583]~P142(x45831)+P30(x45831,x45832)+~E(x45832,f2(x45831))
% 149.08/148.75 [4584]~P105(x45841)+P28(x45841,x45842)+~E(x45842,f118(x45841))
% 149.08/148.75 [4593]~P109(x45931)+~E(x45932,f2(x45931))+E(f83(x45931,x45932),f2(x45931))
% 149.08/148.75 [4594]~P89(x45941)+~E(x45942,f2(x45941))+E(f83(x45941,x45942),f2(x45941))
% 149.08/148.75 [4602]~P142(x46022)+~P30(x46022,x46021)+E(x46021,f2(x46022))
% 149.08/148.75 [4636]~P109(x46362)+~E(f83(x46362,x46361),f2(x46362))+E(x46361,f2(x46362))
% 149.08/148.75 [4653]~P25(x46532)+~P25(x46531)+P25(f880(x46531,x46532))
% 149.08/148.75 [4654]~P25(x46542)+~P25(x46541)+P25(f878(x46541,x46542))
% 149.08/148.75 [4655]~P25(x46552)+~P25(x46551)+P25(f879(x46551,x46552))
% 149.08/148.75 [4656]~P27(x46562)+~P27(x46561)+P27(f198(x46561,x46562))
% 149.08/148.75 [4657]~P143(x46572)+~P143(x46571)+P143(f879(x46571,x46572))
% 149.08/148.75 [4658]~P58(x46582)+~P58(x46581)+P58(f880(x46581,x46582))
% 149.08/148.75 [4659]~P58(x46592)+~P58(x46591)+P58(f878(x46591,x46592))
% 149.08/148.75 [4660]~P58(x46602)+~P58(x46601)+P58(f879(x46601,x46602))
% 149.08/148.75 [4661]~P58(x46611)+~P95(x46612)+P95(f880(x46611,x46612))
% 149.08/148.75 [4787]~P105(x47871)+~P28(x47871,x47872)+P28(x47871,f148(x47871,x47872))
% 149.08/148.75 [5025]~P27(x50252)+~P27(x50251)+P27(f45(a1,x50251,x50252))
% 149.08/148.75 [4604]~P74(x46041)+~E(x46042,f2(x46041))+E(f326(f80(x46041),x46042),x46042)
% 149.08/148.75 [4608]~P138(x46081)+~E(x46082,f2(a1))+E(f326(f107(x46081),x46082),f2(x46081))
% 149.08/148.75 [4609]~P92(x46091)+~E(x46092,f2(a1))+E(f326(f107(x46091),x46092),f2(x46091))
% 149.08/148.75 [4633]~P71(x46331)+~E(f2(x46331),x46332)+E(f326(f80(x46331),x46332),f2(x46331))
% 149.08/148.75 [4634]~P71(x46341)+~E(x46342,f2(x46341))+E(f326(f80(x46341),x46342),f2(x46341))
% 149.08/148.75 [4635]~P84(x46351)+~E(x46352,f2(x46351))+E(f326(f76(x46351),x46352),f2(x46351))
% 149.08/148.75 [4663]~P74(x46632)+E(x46631,f2(x46632))+~E(f326(f80(x46632),x46631),x46631)
% 149.08/148.75 [4669]E(x46691,f326(a109,x46692))+~E(x46691,f2(a872))+~E(x46692,f326(f105(a1),x46691))
% 149.08/148.75 [4670]E(f326(a109,x46701),x46702)+~E(x46702,f2(a872))+~E(x46701,f326(f105(a1),x46702))
% 149.08/148.75 [4674]~P92(x46742)+E(x46741,f2(a1))+~E(f326(f107(x46742),x46741),f2(x46742))
% 149.08/148.75 [4679]~P71(x46792)+E(x46791,f2(x46792))+~E(f326(f80(x46792),x46791),f2(x46792))
% 149.08/148.75 [4680]~P84(x46802)+E(x46801,f2(x46802))+~E(f326(f76(x46802),x46801),f2(x46802))
% 149.08/148.75 [4681]~P71(x46811)+E(f2(x46811),x46812)+~E(f326(f80(x46811),x46812),f2(x46811))
% 149.08/148.75 [4821]~P4(a5000)+~E(f326(a28,x48212),f326(f233(a868),x48211))+P103(f326(a25,x48211))
% 149.08/148.75 [4863]~P105(x48631)+~P28(x48631,x48632)+P28(x48631,f326(f167(x48631),x48632))
% 149.08/148.75 [4890]~P103(x48902)+~P103(x48901)+P103(f326(f326(a324,x48901),x48902))
% 149.08/148.75 [4922]~E(f79(a872),f2(a872))+E(f326(f38(x49221),x49222),f2(a872))+~P103(f326(f62(x49221),x49222))
% 149.08/148.75 [4955]~P141(x49551)+~P112(x49551)+E(f326(f326(f251(x49551),f2(x49551)),f326(a117,x49552)),f2(x49551))
% 149.08/148.75 [4993]~P105(x49931)+P28(x49931,f135(x49931,x49932))+~P103(f326(f62(x49931),x49932))
% 149.08/148.75 [4994]~P105(x49941)+P28(x49941,f756(x49942,x49941))+~P103(f326(f62(x49941),x49942))
% 149.08/148.75 [5015]~P105(x50151)+E(f326(f168(x50151),f135(x50151,x50152)),x50152)+~P103(f326(f62(x50151),x50152))
% 149.08/148.75 [5016]~P105(x50161)+E(f326(f168(x50161),f756(x50162,x50161)),x50162)+~P103(f326(f62(x50161),x50162))
% 149.08/148.75 [5045]P103(x50451)+P103(x50452)+~P103(f326(f326(a325,x50452),x50451))
% 149.08/148.75 [5057]E(x50571,f190(f880(x50572,a866)))+~E(f326(f38(x50572),x50571),f2(a872))+~P103(f326(f62(x50572),x50571))
% 149.08/148.75 [5062]P103(x50621)+~P103(x50622)+~P103(f326(f326(a329,x50622),x50621))
% 149.08/148.75 [5110]~P70(x51101)+E(f326(f76(x51101),x51102),x51102)+P103(f326(f326(f241(x51101),x51102),f2(x51101)))
% 149.08/148.75 [5181]~P58(x51812)+~P103(f326(f58(x51812),x51811))+P103(f326(x51811,f725(x51811,x51812)))
% 149.08/148.75 [5182]~P58(x51822)+~P103(f326(f58(x51822),x51821))+P103(f326(x51821,f747(x51821,x51822)))
% 149.08/148.75 [5209]~P103(f326(a25,x52092))+~P103(f326(a25,x52091))+P103(f326(a25,f34(x52091,x52092)))
% 149.08/148.75 [5218]E(x52181,f118(x52182))+P103(f326(f133(x52182),f119(x52182,x52181)))+~P103(f326(f133(x52182),x52181))
% 149.08/148.75 [5223]~P105(x52231)+~P103(f326(f62(x52231),x52232))+P103(f326(f133(x52231),f135(x52231,x52232)))
% 149.08/148.75 [5224]~P105(x52241)+~P103(f326(f62(x52241),x52242))+P103(f326(f133(x52241),f756(x52242,x52241)))
% 149.08/148.75 [5230]~P138(x52301)+E(f326(f105(x52301),f326(a109,x52302)),f326(f107(x52301),x52302))+P103(f326(f326(f241(a1),x52302),f2(a1)))
% 149.08/148.75 [5260]P2(x52602,x52601)+E(f326(x52601,f537(x52601)),f326(x52601,f540(x52601)))+P103(f326(f326(x52601,f537(x52601)),f540(x52601)))
% 149.08/148.75 [5274]E(f326(f105(a1),f427(x52741,x52742)),x52741)+P103(f326(x52742,f326(a109,x52741)))+~P103(f326(x52742,f2(a872)))
% 149.08/148.75 [5286]~P58(x52861)+~P103(f326(x52862,f726(x52862,x52861)))+P103(f326(f59(x52861),x52862))
% 149.08/148.75 [5287]~P58(x52871)+~P103(f326(x52872,f748(x52872,x52871)))+P103(f326(f59(x52871),x52872))
% 149.08/148.75 [5301]~P58(x53012)+~P35(x53012,x53011,f56(x53012))+P103(f326(x53011,f772(x53011,x53012)))
% 149.08/148.75 [5317]~P109(x53171)+~E(f83(x53171,x53172),f326(f80(x53171),f79(x53171)))+P103(f326(f326(f241(x53171),x53172),f2(x53171)))
% 149.08/148.75 [5318]E(x53181,f190(f880(x53182,a866)))+P103(f326(f62(x53182),f381(x53181,x53182)))+~P103(f326(f62(x53182),x53181))
% 149.08/148.75 [5395]~E(x53952,f2(a1))+E(f220(x53951,x53952),f326(f326(f261(a1,a1),f2(a1)),f79(a1)))+P103(f326(f326(f241(a1),x53952),f2(a1)))
% 149.08/148.75 [5396]~E(x53961,f2(a1))+E(f220(x53961,x53962),f326(f326(f261(a1,a1),f2(a1)),f79(a1)))+P103(f326(f326(f241(a1),x53962),f2(a1)))
% 149.08/148.75 [5448]E(f326(f105(a1),f427(x54481,x54482)),x54481)+P103(f326(x54482,f326(a109,x54481)))+P103(f326(f326(f241(a1),x54481),f2(a1)))
% 149.08/148.75 [5472]E(f326(f326(f304(x54722),f391(x54721,x54722)),f381(x54721,x54722)),x54721)+E(x54721,f190(f880(x54722,a866)))+~P103(f326(f62(x54722),x54721))
% 149.08/148.75 [5512]~P109(x55121)+E(f83(x55121,x55122),f326(f80(x55121),f79(x55121)))+~P103(f326(f326(f241(x55121),x55122),f2(x55121)))
% 149.08/148.75 [5513]~P84(x55131)+E(f326(f76(x55131),x55132),f326(f80(x55131),x55132))+~P103(f326(f326(f240(x55131),x55132),f2(x55131)))
% 149.08/148.75 [5514]~P84(x55141)+E(f326(f76(x55141),x55142),f326(f80(x55141),x55142))+~P103(f326(f326(f241(x55141),x55142),f2(x55141)))
% 149.08/148.75 [5515]~P70(x55151)+E(f326(f76(x55151),x55152),f326(f80(x55151),x55152))+~P103(f326(f326(f241(x55151),x55152),f2(x55151)))
% 149.08/148.75 [5609]~P103(f326(x56091,f427(x56092,x56091)))+P103(f326(x56091,f326(a109,x56092)))+~P103(f326(x56091,f2(a872)))
% 149.08/148.75 [5616]E(x56161,f2(a872))+E(f326(a117,f838(x56162,x56161)),x56161)+~P103(f326(f326(f241(a872),x56161),f326(a117,x56162)))
% 149.08/148.75 [5620]P2(x56201,x56202)+~E(f326(x56202,f537(x56202)),f326(x56202,f540(x56202)))+~P103(f326(f326(x56202,f537(x56202)),f540(x56202)))
% 149.08/148.75 [5640]~P105(x56401)+P28(x56401,x56402)+P103(f326(f326(f240(a872),f727(x56402,x56401)),f728(x56402,x56401)))
% 149.08/148.75 [5641]~P105(x56411)+P28(x56411,x56412)+P103(f326(f326(f240(a872),f734(x56412,x56411)),f744(x56412,x56411)))
% 149.08/148.75 [5728]~P84(x57281)+~E(x57282,f2(x57281))+P103(f326(f326(f240(x57281),f326(f76(x57281),x57282)),f2(x57281)))
% 149.08/148.75 [5807]~P58(x58072)+~P58(x58071)+E(f60(x58071,x58072,f56(x58071),f56(x58072)),f56(f879(x58071,x58072)))
% 149.08/148.75 [5811]~P103(f326(x58111,f427(x58112,x58111)))+P103(f326(x58111,f326(a109,x58112)))+P103(f326(f326(f241(a1),x58112),f2(a1)))
% 149.08/148.75 [5834]~P103(f326(x58341,f326(a109,x58342)))+P103(f326(x58341,f2(a872)))+~P103(f326(f326(f241(a1),x58342),f2(a1)))
% 149.08/148.75 [6177]~P109(x61771)+~P103(f326(f326(f241(x61771),x61772),f2(x61771)))+P103(f326(f326(f241(x61771),f83(x61771,x61772)),f2(x61771)))
% 149.08/148.75 [6291]~P109(x62911)+P103(f326(f326(f240(x62911),f326(f107(x62911),x62912)),f2(x62911)))+~P103(f326(f326(f240(a1),x62912),f2(a1)))
% 149.08/148.75 [6292]~P109(x62921)+P103(f326(f326(f241(x62921),f326(f107(x62921),x62922)),f2(x62921)))+~P103(f326(f326(f241(a1),x62922),f2(a1)))
% 149.08/148.75 [6299]~P84(x62992)+E(x62991,f2(x62992))+~P103(f326(f326(f240(x62992),f326(f76(x62992),x62991)),f2(x62992)))
% 149.08/148.75 [6376]~P138(x63761)+~P103(f326(f326(f328(x63761),x63762),f114(x63761)))+P103(f326(f326(f328(x63761),f326(f80(x63761),x63762)),f114(x63761)))
% 149.08/148.75 [6408]~P109(x64081)+~P103(f326(f326(f241(x64081),f83(x64081,x64082)),f2(x64081)))+P103(f326(f326(f241(x64081),x64082),f2(x64081)))
% 149.08/148.75 [6578]~P109(x65782)+~P103(f326(f326(f240(x65782),f326(f107(x65782),x65781)),f2(x65782)))+P103(f326(f326(f240(a1),x65781),f2(a1)))
% 149.08/148.75 [6579]~P109(x65792)+~P103(f326(f326(f241(x65792),f326(f107(x65792),x65791)),f2(x65792)))+P103(f326(f326(f241(a1),x65791),f2(a1)))
% 149.08/148.75 [7083]~P74(x70831)+~P103(f326(f326(f240(x70831),x70832),f2(x70831)))+P103(f326(f326(f240(x70831),f326(f326(f81(x70831),x70832),x70832)),f2(x70831)))
% 149.08/148.75 [7085]~P109(x70851)+~P103(f326(f326(f241(x70851),x70852),f2(x70851)))+P103(f326(f326(f241(x70851),f326(f326(f81(x70851),x70852),x70852)),f2(x70851)))
% 149.08/148.75 [7086]~P74(x70861)+~P103(f326(f326(f241(x70861),x70862),f2(x70861)))+P103(f326(f326(f241(x70861),f326(f326(f81(x70861),x70862),x70862)),f2(x70861)))
% 149.08/148.75 [7654]~P74(x76541)+~P103(f326(f326(f240(x76541),f326(f326(f81(x76541),x76542),x76542)),f2(x76541)))+P103(f326(f326(f240(x76541),x76542),f2(x76541)))
% 149.08/148.75 [7655]~P109(x76551)+~P103(f326(f326(f241(x76551),f326(f326(f81(x76551),x76552),x76552)),f2(x76551)))+P103(f326(f326(f241(x76551),x76552),f2(x76551)))
% 149.08/148.75 [7656]~P74(x76561)+~P103(f326(f326(f241(x76561),f326(f326(f81(x76561),x76562),x76562)),f2(x76561)))+P103(f326(f326(f241(x76561),x76562),f2(x76561)))
% 149.08/148.75 [4719]~E(x47192,f2(a872))+~E(x47191,f2(a872))+E(f326(f326(f81(a872),x47191),x47192),f2(a872))
% 149.08/148.75 [4720]~E(x47202,f79(a872))+~E(x47201,f79(a872))+E(f326(f326(f82(a872),x47201),x47202),f79(a872))
% 149.08/148.75 [4721]~E(x47212,f79(a1))+~E(x47211,f79(a1))+E(f326(f326(f82(a1),x47211),x47212),f79(a1))
% 149.08/148.75 [4773]~P118(x47732)+E(x47731,f2(x47732))+E(f326(f326(f284(x47732),x47731),x47731),f79(x47732))
% 149.08/148.75 [4774]~P56(x47742)+E(x47741,f2(x47742))+E(f326(f326(f39(x47742),x47741),x47741),f79(x47742))
% 149.08/148.75 [4775]~P119(x47752)+E(x47751,f2(x47752))+E(f326(f326(f284(x47752),x47751),x47751),f79(x47752))
% 149.08/148.75 [4792]~P74(x47921)+~E(x47922,f2(x47921))+E(f326(f326(f81(x47921),x47922),x47922),f2(x47921))
% 149.08/148.75 [4795]~P137(x47951)+~E(x47952,f79(x47951))+E(f326(f326(f82(x47951),x47952),x47952),f79(x47951))
% 149.08/148.75 [4796]~P119(x47961)+~E(x47962,f2(x47961))+E(f326(f326(f284(x47961),x47962),x47962),f2(x47961))
% 149.08/148.75 [4842]~E(x48422,f2(a872))+~E(x48421,f2(a872))+E(f326(f80(a1),f326(f105(a1),x48421)),f326(f105(a1),x48422))
% 149.08/148.75 [4860]E(x48601,f79(a872))+E(x48602,f2(a872))+~E(f326(f326(f82(a872),x48602),x48601),x48602)
% 149.08/148.75 [4870]E(x48701,f2(a872))+E(x48702,f2(a872))+~E(f326(f326(f82(a872),x48702),x48701),f2(a872))
% 149.08/148.75 [4899]~E(x48992,f2(a872))+~E(x48991,f326(a117,f2(a872)))+E(f326(f326(f81(a872),x48991),x48992),f326(a117,f2(a872)))
% 149.08/148.75 [4900]~E(x49001,f2(a872))+~E(x49002,f326(a117,f2(a872)))+E(f326(f326(f81(a872),x49001),x49002),f326(a117,f2(a872)))
% 149.08/148.75 [4905]E(x49051,f79(a1))+E(x49052,f326(f108(a1),a102))+~E(f326(f326(f82(a1),x49051),x49052),f79(a1))
% 149.08/148.75 [4906]E(x49061,f79(a1))+E(x49062,f326(f108(a1),a102))+~E(f326(f326(f82(a1),x49062),x49061),f79(a1))
% 149.08/148.75 [4907]E(x49071,f79(a1))+E(x49071,f326(f108(a1),a102))+~E(f326(f326(f82(a1),x49072),x49071),f79(a1))
% 149.08/148.75 [4909]E(x49091,f79(a1))+E(x49091,f326(f108(a1),a102))+~E(f326(f326(f82(a1),x49091),x49092),f79(a1))
% 149.08/148.75 [4926]~P74(x49262)+E(x49261,f2(x49262))+~E(f326(f326(f81(x49262),x49261),x49261),f2(x49262))
% 149.08/148.75 [4932]~E(x49321,f326(f108(a1),a102))+~E(x49322,f326(f108(a1),a102))+E(f326(f326(f82(a1),x49321),x49322),f79(a1))
% 149.08/148.75 [4944]E(x49441,f2(a872))+E(x49442,f2(a872))+~E(f326(f326(f81(a872),x49442),x49441),f326(a117,f2(a872)))
% 149.08/148.75 [4954]~P59(x49541)+~P93(x49541)+E(f326(f326(f284(x49541),x49542),f326(f108(x49541),a84)),f2(x49541))
% 149.08/148.75 [4960]~P137(x49601)+~E(x49602,f326(f80(x49601),f79(x49601)))+E(f326(f326(f82(x49601),x49602),x49602),f79(x49601))
% 149.08/148.75 [4965]~P27(x49652)+~P27(x49651)+P27(f326(f326(f81(a1),x49651),x49652))
% 149.08/148.75 [4966]~P27(x49662)+~P27(x49661)+P27(f326(f326(f82(a1),x49661),x49662))
% 149.08/148.75 [4967]~P27(x49672)+~P27(x49671)+P27(f326(f326(f39(a1),x49671),x49672))
% 149.08/148.75 [4969]~E(x49692,f2(a1))+E(x49691,f2(a1))+E(f46(x49691,x49692),f326(f326(f261(a1,a1),f2(a1)),x49691))
% 149.08/148.75 [4991]~E(x49912,f326(a117,f2(a872)))+~E(x49911,f326(a117,f2(a872)))+E(f326(f326(f82(a872),x49911),x49912),f326(a117,f2(a872)))
% 149.08/148.75 [5006]E(x50061,f2(a872))+E(x50062,f326(a117,f2(a872)))+~E(f326(f326(f251(a872),x50062),x50061),f326(a117,f2(a872)))
% 149.08/148.75 [5007]E(x50071,f2(a872))+E(x50071,f326(a117,f2(a872)))+~E(f326(f326(f81(a872),x50072),x50071),f326(a117,f2(a872)))
% 149.08/148.75 [5008]E(x50081,f2(a872))+E(x50081,f326(a117,f2(a872)))+~E(f326(f326(f81(a872),x50081),x50082),f326(a117,f2(a872)))
% 149.08/148.75 [5017]~P59(x50171)+~P93(x50171)+E(f326(f326(f284(x50171),x50172),f326(f108(x50171),a102)),f326(f80(x50171),x50172))
% 149.08/148.75 [5037]E(x50371,f326(a109,x50372))+~E(x50371,f2(a872))+P103(f326(f326(f240(a1),f2(a1)),x50372))
% 149.08/148.75 [5038]E(f326(a109,x50381),x50382)+~E(x50382,f2(a872))+P103(f326(f326(f240(a1),f2(a1)),x50381))
% 149.08/148.75 [5053]E(x50531,f326(a117,f2(a872)))+E(x50532,f326(a117,f2(a872)))+~E(f326(f326(f81(a872),x50531),x50532),f326(a117,f2(a872)))
% 149.08/148.75 [5063]~E(x50631,f326(a109,x50632))+E(x50631,f2(a872))+P103(f326(f326(f240(a1),f2(a1)),x50632))
% 149.08/148.75 [5064]~E(f326(a109,x50642),x50641)+E(x50641,f2(a872))+P103(f326(f326(f240(a1),f2(a1)),x50642))
% 149.08/148.75 [5086]~P76(x50861)+E(f326(f64(x50861,f115(x50861)),x50862),f10(x50861,x50862))+~P103(f326(f62(x50861),x50862))
% 149.08/148.75 [5087]~P76(x50871)+E(f326(f64(x50871,f106(x50871)),x50872),f11(x50871,x50872))+~P103(f326(f62(x50871),x50872))
% 149.08/148.75 [5088]~P105(x50881)+E(f326(f64(x50881,f238(x50881)),x50882),f14(x50881,x50882))+~P103(f326(f62(x50881),x50882))
% 149.08/148.75 [5089]~P105(x50891)+E(f326(f64(x50891,f239(x50891)),x50892),f15(x50891,x50892))+~P103(f326(f62(x50891),x50892))
% 149.08/148.75 [5091]~P58(x50911)+~P103(f326(x50912,f193(x50911)))+P103(f326(f58(f876(x50911)),x50912))
% 149.08/148.75 [5174]~P58(x51742)+P103(f326(x51741,f193(x51742)))+~P103(f326(f59(f876(x51742)),x51741))
% 149.08/148.75 [5175]E(x51751,x51752)+~E(f326(f326(f22(a872),x51752),x51751),f2(a872))+~E(f326(f326(f22(a872),x51751),x51752),f2(a872))
% 149.08/148.75 [5189]P27(x51891)+~P39(x51892)+~P103(f326(f326(f328(a1),x51891),x51892))
% 149.08/148.75 [5219]~P109(x52191)+~E(f83(x52191,x52192),f79(x52191))+P103(f326(f326(f241(x52191),f2(x52191)),x52192))
% 149.08/148.75 [5231]~P93(x52311)+E(f326(f105(x52311),f326(f108(a872),x52312)),f326(f108(x52311),x52312))+P103(f326(a196,f326(f108(a1),x52312)))
% 149.08/148.75 [5237]~P42(x52371,x52372)+P43(a866)+P103(f326(f62(f879(x52371,x52371)),x52372))
% 149.08/148.75 [5310]~P105(x53101)+E(f326(f64(x53101,f239(x53101)),x53102),f12(x53101,f239(x53101),x53102))+~P103(f326(f62(x53101),x53102))
% 149.08/148.75 [5311]~P105(x53111)+E(f326(f64(x53111,f238(x53111)),x53112),f13(x53111,f238(x53111),x53112))+~P103(f326(f62(x53111),x53112))
% 149.08/148.75 [5325]E(x53251,x53252)+P103(f326(f326(f241(a872),x53252),x53251))+P103(f326(f326(f241(a872),x53251),x53252))
% 149.08/148.75 [5326]E(x53261,x53262)+P103(f326(f326(f241(a1),x53262),x53261))+P103(f326(f326(f241(a1),x53261),x53262))
% 149.08/148.75 [5382]~P93(x53821)+E(f326(f105(x53821),f326(f108(a872),x53822)),f2(x53821))+~P103(f326(a196,f326(f108(a1),x53822)))
% 149.08/148.75 [5385]~E(x53852,f326(a109,x53851))+E(x53851,f326(f105(a1),x53852))+~P103(f326(f326(f240(a1),f2(a1)),x53851))
% 149.08/148.75 [5386]~E(f326(a109,x53861),x53862)+E(x53861,f326(f105(a1),x53862))+~P103(f326(f326(f240(a1),f2(a1)),x53861))
% 149.08/148.75 [5387]~E(x53871,f326(a109,x53872))+E(f326(f105(a1),x53871),x53872)+~P103(f326(f326(f240(a1),f2(a1)),x53872))
% 149.08/148.75 [5397]E(x53971,f326(a109,x53972))+~E(x53972,f326(f105(a1),x53971))+~P103(f326(f326(f240(a1),f2(a1)),x53972))
% 149.08/148.75 [5398]E(f326(a109,x53981),x53982)+~E(x53981,f326(f105(a1),x53982))+~P103(f326(f326(f240(a1),f2(a1)),x53981))
% 149.08/148.75 [5437]~P84(x54372)+E(x54371,f2(x54372))+P103(f326(f326(f241(x54372),f2(x54372)),f326(f76(x54372),x54371)))
% 149.08/148.75 [5505]~P109(x55051)+E(f83(x55051,x55052),f79(x55051))+~P103(f326(f326(f241(x55051),f2(x55051)),x55052))
% 149.08/148.75 [5509]~P93(x55091)+E(f326(f105(x55091),f326(f108(a872),x55092)),f2(x55091))+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x55092)))
% 149.08/148.75 [5516]~P84(x55161)+E(f326(f76(x55161),x55162),x55162)+~P103(f326(f326(f240(x55161),f2(x55161)),x55162))
% 149.08/148.75 [5517]~P84(x55171)+E(f326(f76(x55171),x55172),x55172)+~P103(f326(f326(f241(x55171),f2(x55171)),x55172))
% 149.08/148.75 [5524]E(x55241,f2(a872))+~E(f135(a872,f326(f296(a872,x55242),x55241)),f118(a872))+P103(f326(f326(f240(a872),x55241),x55242))
% 149.08/148.75 [5534]~P72(x55341)+E(f326(f326(f6(x55341,x55341),f5(x55341)),f326(f168(x55341),x55342)),f326(f162(x55341),x55342))+~P103(f326(f133(x55341),x55342))
% 149.08/148.75 [5537]~P138(x55371)+E(f326(f105(x55371),f326(a109,x55372)),f326(f107(x55371),x55372))+~P103(f326(f326(f240(a1),f2(a1)),x55372))
% 149.08/148.75 [5564]E(x55641,x55642)+P103(f326(f326(f241(a872),x55641),x55642))+~P103(f326(f326(f240(a872),x55641),x55642))
% 149.08/148.75 [5565]E(x55651,x55652)+P103(f326(f326(f241(a1),x55651),x55652))+~P103(f326(f326(f240(a1),x55651),x55652))
% 149.08/148.75 [5568]E(x55681,f79(a1))+~E(f326(f326(f82(a1),x55682),x55681),f79(a1))+~P103(f326(f326(f241(a1),f2(a1)),x55682))
% 149.08/148.75 [5569]E(x55691,f79(a1))+~E(f326(f326(f82(a1),x55691),x55692),f79(a1))+~P103(f326(f326(f241(a1),f2(a1)),x55691))
% 149.08/148.75 [5606]~P39(x56062)+P103(f326(f326(f240(a1),f2(a1)),x56061))+~P103(f326(f326(f328(a1),x56061),x56062))
% 149.08/148.75 [5625]~P53(x56251,x56252)+P37(x56251,x56252)+~P103(f326(f62(f879(x56251,x56251)),x56252))
% 149.08/148.75 [5627]~P53(x56271,x56272)+P42(x56271,x56272)+~P103(f326(f62(f879(x56271,x56271)),x56272))
% 149.08/148.75 [5671]E(x56711,f190(f880(x56712,a866)))+~P103(f326(f62(x56712),x56711))+P103(f326(f326(f241(a872),f2(a872)),f326(f38(x56712),x56711)))
% 149.08/148.75 [5697]~P103(f326(x56971,x56972))+P103(f326(x56971,f2(a872)))+P103(f326(f326(f241(a872),f333(x56972,x56971)),x56972))
% 149.08/148.75 [5722]E(x57221,f2(a872))+~E(f326(f162(a872),x57222),f2(a872))+~P103(f326(f326(f328(a872),x57221),f326(f168(a872),x57222)))
% 149.08/148.75 [5788]E(x57881,x57882)+~P103(f326(f326(f240(a872),x57882),x57881))+~P103(f326(f326(f240(a872),x57881),x57882))
% 149.08/148.75 [5789]E(x57891,x57892)+~P103(f326(f326(f240(a1),x57892),x57891))+~P103(f326(f326(f240(a1),x57891),x57892))
% 149.08/148.75 [5790]E(f326(f38(x57901),x57902),f2(a872))+~P103(f326(f62(x57901),x57902))+P103(f326(f326(f328(x57901),f500(x57902,x57901)),x57902))
% 149.08/148.75 [5799]E(f50(x57991,x57992),f46(x57991,x57992))+P103(f326(f326(f240(a1),f2(a1)),x57991))+~P103(f326(f326(f241(a1),f2(a1)),x57992))
% 149.08/148.75 [5823]~P103(f326(x58231,f402(x58231)))+P103(f326(x58231,f326(a109,x58232)))+~P103(f326(f326(f240(a1),f2(a1)),x58232))
% 149.08/148.75 [5825]P103(f326(f326(f240(a872),x58251),f375(x58252)))+~P103(f326(f62(a872),x58252))+~P103(f326(f326(f328(a872),x58251),x58252))
% 149.08/148.75 [5826]P103(f326(f326(f241(a872),x58261),f350(x58262)))+~P103(f326(f62(a872),x58262))+~P103(f326(f326(f328(a872),x58261),x58262))
% 149.08/148.75 [5855]E(x58551,x58552)+~P103(f326(f326(f241(a872),x58551),f326(a117,x58552)))+P103(f326(f326(f241(a872),x58551),x58552))
% 149.08/148.75 [5889]E(x58891,f326(a117,x58892))+~P103(f326(f326(f240(a872),x58891),f326(a117,x58892)))+P103(f326(f326(f240(a872),x58891),x58892))
% 149.08/148.75 [5902]P103(f326(x59021,f428(x59021)))+~P103(f326(x59021,f326(a109,x59022)))+~P103(f326(f326(f240(a1),f2(a1)),x59022))
% 149.08/148.75 [5916]~P103(f326(x59161,x59162))+~P103(f326(f326(f240(a1),f2(a1)),x59162))+P103(f326(x59161,f326(f105(a1),f379(x59161))))
% 149.08/148.75 [5931]~P84(x59312)+~E(x59311,f2(x59312))+~P103(f326(f326(f241(x59312),f2(x59312)),f326(f76(x59312),x59311)))
% 149.08/148.75 [5958]~P53(x59581,x59582)+P37(x59581,f326(f281(x59581,x59581),x59582))+~P103(f326(f62(f879(x59581,x59581)),x59582))
% 149.08/148.75 [5966]~P93(x59661)+E(f326(f105(x59661),f326(f108(a872),x59662)),f326(f108(x59661),x59662))+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x59662)))
% 149.08/148.75 [5970]E(f326(a117,x59701),x59702)+~P103(f326(f326(f241(a872),x59701),x59702))+P103(f326(f326(f241(a872),f326(a117,x59701)),x59702))
% 149.08/148.75 [5983]E(f326(f326(f39(a1),x59831),x59832),f2(a1))+~P103(f326(f326(f240(a1),x59831),f2(a1)))+~P103(f326(f326(f241(a1),x59832),x59831))
% 149.08/148.75 [5996]E(f45(a1,x59961,x59962),x59961)+~P103(f326(f326(f240(a1),x59961),f2(a1)))+~P103(f326(f326(f241(a1),x59962),x59961))
% 149.08/148.75 [6009]E(f47(x60091,x60092),f46(x60091,x60092))+~P103(f326(f326(f240(a1),f2(a1)),x60091))+~P103(f326(f326(f240(a1),f2(a1)),x60092))
% 149.08/148.75 [6017]E(f326(f326(f39(a1),x60171),x60172),f2(a1))+~P103(f326(f326(f240(a1),f2(a1)),x60171))+~P103(f326(f326(f241(a1),x60171),x60172))
% 149.08/148.75 [6029]E(f45(a872,f326(f108(a872),x60291),f326(f108(a872),x60292)),f326(f108(a872),x60291))+P103(f326(a196,f326(f108(a1),x60291)))+~P103(f326(a196,f326(f108(a1),x60292)))
% 149.08/148.75 [6031]E(f45(a1,x60311,x60312),x60311)+~P103(f326(f326(f240(a1),f2(a1)),x60311))+~P103(f326(f326(f241(a1),x60311),x60312))
% 149.08/148.75 [6032]E(x60321,x60322)+~P103(f326(f326(f241(a872),x60321),f326(a117,x60322)))+~P103(f326(f326(f240(a872),x60322),x60321))
% 149.08/148.75 [6049]~P74(x60491)+~P103(f326(f326(f240(x60491),x60492),f2(x60491)))+P103(f326(f326(f240(x60491),x60492),f326(f80(x60491),x60492)))
% 149.08/148.75 [6050]~P109(x60501)+~P103(f326(f326(f241(x60501),x60502),f2(x60501)))+P103(f326(f326(f241(x60501),x60502),f326(f80(x60501),x60502)))
% 149.08/148.75 [6060]~P26(x60601)+E(f326(f326(f65(x60601,x60601,f115(x60601)),f190(x60601)),x60602),f40(x60601,x60602))+~P103(f326(f62(x60601),x60602))
% 149.08/148.75 [6061]~P26(x60611)+E(f326(f326(f65(x60611,x60611,f106(x60611)),f249(x60611)),x60612),f41(x60611,x60612))+~P103(f326(f62(x60611),x60612))
% 149.08/148.75 [6075]~P109(x60751)+~P103(f326(f326(f240(a1),f2(a1)),x60752))+P103(f326(f326(f240(x60751),f2(x60751)),f326(f107(x60751),x60752)))
% 149.08/148.75 [6076]~P108(x60761)+~P103(f326(f326(f241(a872),f2(a872)),x60762))+P103(f326(f326(f241(x60761),f2(x60761)),f326(f105(x60761),x60762)))
% 149.08/148.75 [6077]~P109(x60771)+~P103(f326(f326(f241(a1),f2(a1)),x60772))+P103(f326(f326(f241(x60771),f2(x60771)),f326(f107(x60771),x60772)))
% 149.08/148.75 [6080]~P27(x60802)+~P27(x60801)+E(f326(f305(a872,a1,f105(a1)),f297(a872,f326(a109,x60801),f326(a109,x60802))),f297(a1,x60801,x60802))
% 149.08/148.75 [6086]P103(f326(x60861,x60862))+~P103(f326(f326(f240(a1),f2(a1)),x60862))+~P103(f326(x60861,f326(f105(a1),f383(x60861))))
% 149.08/148.75 [6111]E(f326(f326(f81(a872),f326(f108(a872),x61111)),f326(f108(a872),x61112)),f326(f108(a872),x61111))+P103(f326(f326(f241(a1),x61111),a84))+~P103(f326(f326(f241(a1),x61112),a84))
% 149.08/148.75 [6115]~P109(x61151)+P103(f326(f326(f241(x61151),f2(x61151)),f83(x61151,x61152)))+~P103(f326(f326(f241(x61151),f2(x61151)),x61152))
% 149.08/148.75 [6126]~P78(x61261)+~P103(f326(f326(f240(x61261),x61262),f2(x61261)))+P103(f326(f326(f240(x61261),f2(x61261)),f326(f80(x61261),x61262)))
% 149.08/148.75 [6127]~P78(x61271)+~P103(f326(f326(f241(x61271),x61272),f2(x61271)))+P103(f326(f326(f241(x61271),f2(x61271)),f326(f80(x61271),x61272)))
% 149.08/148.75 [6130]E(x61301,f249(f880(x61302,a866)))+~E(f326(f38(x61302),x61301),f326(f38(x61302),f249(f880(x61302,a866))))+~P103(f326(f62(x61302),f249(f880(x61302,a866))))
% 149.08/148.75 [6170]~P74(x61701)+P103(f326(f326(f240(x61701),x61702),f2(x61701)))+~P103(f326(f326(f240(x61701),x61702),f326(f80(x61701),x61702)))
% 149.08/148.75 [6171]~P109(x61711)+P103(f326(f326(f241(x61711),x61712),f2(x61711)))+~P103(f326(f326(f241(x61711),x61712),f326(f80(x61711),x61712)))
% 149.08/148.75 [6179]~P93(x61791)+P103(f326(f326(f328(x61791),f326(f108(x61791),x61792)),f188(x61791)))+~P103(f326(f326(f240(a1),a84),x61792))
% 149.08/148.75 [6210]E(x62101,f2(a872))+~P103(f326(f326(f241(a872),x62101),f326(a117,x62102)))+P103(f326(f326(f241(a872),f838(x62102,x62101)),x62102))
% 149.08/148.75 [6232]~P109(x62321)+~P103(f326(f326(f241(x62321),f2(x62321)),f83(x62321,x62322)))+P103(f326(f326(f241(x62321),f2(x62321)),x62322))
% 149.08/148.75 [6234]~E(f326(f108(a872),x62342),f326(f108(a872),x62341))+P103(f326(f326(f240(a1),f326(f108(a1),x62341)),f2(a1)))+~P103(f326(a196,f326(f108(a1),x62342)))
% 149.08/148.75 [6264]E(f326(f260(a1,a1),f50(x62641,x62642)),f326(f326(f39(a1),x62641),x62642))+~P103(f326(f326(f241(a1),x62641),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x62642))
% 149.08/148.75 [6297]E(f326(f264(a1,a1),f50(x62971,x62972)),f45(a1,x62971,x62972))+~P103(f326(f326(f241(a1),x62971),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x62972))
% 149.08/148.75 [6300]~P109(x63002)+~P103(f326(f326(f240(x63002),f2(x63002)),f326(f107(x63002),x63001)))+P103(f326(f326(f240(a1),f2(a1)),x63001))
% 149.08/148.75 [6301]~P108(x63012)+~P103(f326(f326(f241(x63012),f2(x63012)),f326(f105(x63012),x63011)))+P103(f326(f326(f241(a872),f2(a872)),x63011))
% 149.08/148.75 [6302]~P109(x63022)+~P103(f326(f326(f241(x63022),f2(x63022)),f326(f107(x63022),x63021)))+P103(f326(f326(f241(a1),f2(a1)),x63021))
% 149.08/148.75 [6305]E(f326(f260(a1,a1),f47(x63051,x63052)),f326(f326(f39(a1),x63051),x63052))+~P103(f326(f326(f240(a1),f2(a1)),x63052))+~P103(f326(f326(f241(a1),f2(a1)),x63051))
% 149.08/148.75 [6320]E(f326(f264(a1,a1),f47(x63201,x63202)),f45(a1,x63201,x63202))+~P103(f326(f326(f240(a1),f2(a1)),x63202))+~P103(f326(f326(f241(a1),f2(a1)),x63201))
% 149.08/148.75 [6337]~P78(x63371)+P103(f326(f326(f240(x63371),x63372),f2(x63371)))+~P103(f326(f326(f240(x63371),f2(x63371)),f326(f80(x63371),x63372)))
% 149.08/148.75 [6338]~P78(x63381)+P103(f326(f326(f241(x63381),x63382),f2(x63381)))+~P103(f326(f326(f241(x63381),f2(x63381)),f326(f80(x63381),x63382)))
% 149.08/148.75 [6363]P103(f326(f49(x63631,x63632),f50(x63631,x63632)))+~P103(f326(f326(f241(a1),x63631),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x63632))
% 149.08/148.75 [6388]P103(f326(f49(x63881,x63882),f47(x63881,x63882)))+~P103(f326(f326(f240(a1),f2(a1)),x63881))+~P103(f326(f326(f241(a1),f2(a1)),x63882))
% 149.08/148.75 [6431]~P78(x64311)+P103(f326(f326(f240(x64311),f326(f80(x64311),x64312)),f2(x64311)))+~P103(f326(f326(f240(x64311),f2(x64311)),x64312))
% 149.08/148.75 [6432]~P78(x64321)+P103(f326(f326(f241(x64321),f326(f80(x64321),x64322)),f2(x64321)))+~P103(f326(f326(f241(x64321),f2(x64321)),x64322))
% 149.08/148.75 [6449]E(f326(f326(f22(a872),f326(a109,x64491)),f326(a109,x64492)),f326(a109,f198(x64491,x64492)))+~P103(f326(f326(f240(a1),f2(a1)),x64492))+~P103(f326(f326(f240(a1),f2(a1)),x64491))
% 149.08/148.75 [6466]P103(f326(f326(f240(a1),f2(a1)),f198(x64661,x64662)))+~P103(f326(f326(f240(a1),f2(a1)),x64662))+~P103(f326(f326(f240(a1),f2(a1)),x64661))
% 149.08/148.75 [6503]~P103(f326(x65031,x65032))+P103(f326(x65031,f2(a872)))+P103(f326(x65031,f326(f326(f81(a872),f333(x65032,x65031)),f79(a872))))
% 149.08/148.75 [6585]E(f326(f108(a872),x65851),f326(f108(a872),x65852))+~P103(f326(f326(f240(a1),f326(f108(a1),x65852)),f2(a1)))+~P103(f326(a196,f326(f108(a1),x65851)))
% 149.08/148.75 [6595]~E(x65951,f2(a872))+~E(f694(x65952,x65951),f2(a872))+E(f326(f138(a872,a872,f81(a872),x65951),x65952),f2(a872))
% 149.08/148.75 [6621]~P103(f326(f62(x66211),f817(x66212,x66211)))+~P103(f326(f62(f880(x66211,a866)),x66212))+P103(f326(f62(x66211),f40(f880(x66211,a866),x66212)))
% 149.08/148.75 [6627]E(x66271,x66272)+P103(f326(f326(f241(a1),x66271),x66272))+~P103(f326(f326(f241(a1),x66271),f326(f326(f81(a1),x66272),f79(a1))))
% 149.08/148.75 [6628]P103(f326(f326(f240(a872),f326(a109,x66281)),f326(a109,x66282)))+~P103(f326(f326(f240(a1),f2(a1)),x66282))+~P103(f326(f326(f240(a1),x66281),x66282))
% 149.08/148.75 [6629]P103(f326(f326(f240(a872),f326(a109,x66291)),f326(a109,x66292)))+~P103(f326(f326(f241(a1),f2(a1)),x66291))+~P103(f326(f326(f240(a1),x66291),x66292))
% 149.08/148.75 [6631]P103(f326(f326(f241(a872),f326(a109,x66311)),f326(a109,x66312)))+~P103(f326(f326(f240(a1),f2(a1)),x66311))+~P103(f326(f326(f241(a1),x66311),x66312))
% 149.08/148.75 [6632]P103(f326(f326(f241(a872),f326(a109,x66321)),f326(a109,x66322)))+~P103(f326(f326(f241(a1),f2(a1)),x66322))+~P103(f326(f326(f241(a1),x66321),x66322))
% 149.08/148.75 [6643]E(f45(a872,f326(a109,x66431),f326(a109,x66432)),f326(a109,f45(a1,x66431,x66432)))+~P103(f326(f326(f240(a1),f2(a1)),x66432))+~P103(f326(f326(f240(a1),f2(a1)),x66431))
% 149.08/148.75 [6665]~P78(x66651)+~P103(f326(f326(f240(x66651),f326(f80(x66651),x66652)),f2(x66651)))+P103(f326(f326(f240(x66651),f2(x66651)),x66652))
% 149.08/148.75 [6666]~P78(x66661)+~P103(f326(f326(f241(x66661),f326(f80(x66661),x66662)),f2(x66661)))+P103(f326(f326(f241(x66661),f2(x66661)),x66662))
% 149.08/148.75 [6681]~P103(f326(f326(f241(a1),a84),x66812))+~P103(f326(f326(f241(a1),x66811),x66812))+P103(f326(f326(f241(a872),f326(f108(a872),x66811)),f326(f108(a872),x66812)))
% 149.08/148.75 [6772]~P103(f326(f326(f240(a1),f2(a1)),x67721))+P103(f326(f326(f241(a872),f326(a109,x67721)),x67722))+~P103(f326(f326(f241(a1),x67721),f326(f105(a1),x67722)))
% 149.08/148.75 [6789]E(x67891,f2(a1))+E(f45(a1,x67892,x67891),f2(a1))+E(f326(f326(f22(a1),f326(f80(a1),f326(f326(f39(a1),x67892),x67891))),f79(a1)),f326(f326(f39(a1),x67892),f326(f80(a1),x67891)))
% 149.08/148.75 [6804]~P103(f326(f326(f240(a1),f2(a1)),x68041))+~P103(f326(f326(f241(a872),f326(a109,x68041)),x68042))+P103(f326(f326(f241(a1),x68041),f326(f105(a1),x68042)))
% 149.08/148.75 [6839]~P103(f326(f326(f240(a872),f326(a109,x68391)),f326(a109,x68392)))+~P103(f326(f326(f240(a1),f2(a1)),x68392))+P103(f326(f326(f240(a1),x68391),x68392))
% 149.08/148.75 [6840]~P103(f326(f326(f240(a872),f326(a109,x68401)),f326(a109,x68402)))+~P103(f326(f326(f241(a1),f2(a1)),x68401))+P103(f326(f326(f240(a1),x68401),x68402))
% 149.08/148.75 [6868]P103(f326(f326(f240(a1),x68681),x68682))+~P103(f326(f326(f240(a872),f326(f108(a872),x68681)),f326(f108(a872),x68682)))+P103(f326(f326(f240(a1),x68681),a84))
% 149.08/148.75 [6895]P103(f326(f326(f240(a1),f2(a1)),f45(a1,x68951,x68952)))+~P103(f326(f326(f240(a1),f2(a1)),x68952))+~P103(f326(f326(f240(a1),f2(a1)),x68951))
% 149.08/148.75 [6995]P103(f326(f326(f241(a1),a84),x69951))+~P103(f326(f326(f241(a1),x69952),x69951))+~P103(f326(f326(f241(a872),f326(f108(a872),x69952)),f326(f108(a872),x69951)))
% 149.08/148.75 [7046]E(f326(f326(f261(a1,a1),f326(f326(f39(a1),x70461),x70462)),f45(a1,x70461,x70462)),f50(x70461,x70462))+~P103(f326(f326(f241(a1),x70461),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x70462))
% 149.08/148.75 [7067]E(f326(f326(f261(a1,a1),f326(f326(f39(a1),x70671),x70672)),f45(a1,x70671,x70672)),f47(x70671,x70672))+~P103(f326(f326(f240(a1),f2(a1)),x70672))+~P103(f326(f326(f240(a1),f2(a1)),x70671))
% 149.08/148.75 [7118]~P96(x71182)+E(x71181,f118(x71182))+E(f326(f138(x71182,x71182,f82(x71182),f326(f137(x71182),x71181)),f326(f167(x71182),x71181)),f326(f64(x71182,f82(x71182)),f326(f168(x71182),x71181)))
% 149.08/148.75 [7230]~E(x72301,f2(a872))+E(f326(f138(a872,a872,f81(a872),x72301),x72302),f2(a872))+P103(f326(f326(f328(a872),f694(x72302,x72301)),f326(f168(a872),x72302)))
% 149.08/148.75 [7277]~P103(f326(f326(f240(a1),x72771),f2(a1)))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x72771),x72772)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x72772))
% 149.08/148.75 [7278]~P103(f326(f326(f241(a1),x72782),f2(a1)))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x72781),x72782)),f2(a1)))+~P103(f326(f326(f240(a1),f2(a1)),x72781))
% 149.08/148.75 [7279]~P103(f326(f326(f241(a1),x72792),f2(a1)))+P103(f326(f326(f241(a1),f326(f326(f39(a1),x72791),x72792)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x72791))
% 149.08/148.75 [7281]~P103(f326(f326(f241(a1),x72811),f2(a1)))+P103(f326(f326(f241(a1),f326(f326(f39(a1),x72811),x72812)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x72812))
% 149.08/148.75 [7287]P103(f326(f326(f328(f880(x72871,a866)),f817(x72872,x72871)),x72872))+~P103(f326(f62(f880(x72871,a866)),x72872))+P103(f326(f62(x72871),f40(f880(x72871,a866),x72872)))
% 149.08/148.75 [7384]P21(x73841,x73841,x73842,f249(f880(x73841,a866)))+~E(f326(f305(x73841,x73841,x73842),f249(f880(x73841,a866))),f249(f880(x73841,a866)))+~P103(f326(f62(x73841),f249(f880(x73841,a866))))
% 149.08/148.75 [7512]~P21(x75121,x75121,x75122,f249(f880(x75121,a866)))+E(f326(f305(x75121,x75121,x75122),f249(f880(x75121,a866))),f249(f880(x75121,a866)))+~P103(f326(f62(x75121),f249(f880(x75121,a866))))
% 149.08/148.75 [7648]E(f326(f326(f39(a1),x76481),x76482),f326(f108(a1),a102))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x76481),x76482)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x76481))
% 149.08/148.75 [7707]~P103(f326(f326(f241(a1),x77072),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f39(a1),x77071),x77072)),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x77071))
% 149.08/148.75 [7712]E(f326(f326(f81(a1),x77121),x77122),f45(a1,x77121,x77122))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),x77121),x77122)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x77121))
% 149.08/148.75 [7715]P103(f326(f326(f241(a1),x77151),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f39(a1),x77151),x77152)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x77152))
% 149.08/148.75 [8106]~P58(x81061)+~P103(f326(f59(f876(x81061)),x81062))+P103(f326(f59(x81061),f326(f326(f8(f876(x81061),a866,x81061),x81062),f233(x81061))))
% 149.08/148.75 [8417]~P105(x84171)+P28(x84171,x84172)+~P103(f326(f326(f240(x84171),f326(f326(f161(x84171),x84172),f727(x84172,x84171))),f326(f326(f161(x84171),x84172),f728(x84172,x84171))))
% 149.08/148.75 [8418]~P105(x84181)+P28(x84181,x84182)+~P103(f326(f326(f240(x84181),f326(f326(f161(x84181),x84182),f734(x84182,x84181))),f326(f326(f161(x84181),x84182),f744(x84182,x84181))))
% 149.08/148.75 [8573]~P58(x85731)+P103(f326(f58(f876(x85731)),x85732))+~P103(f326(f58(x85731),f326(f326(f8(f876(x85731),a866,x85731),x85732),f233(x85731))))
% 149.08/148.75 [9735]~P58(x97351)+~P58(x97352)+E(f326(f326(f150(f873(x97351),f880(x97352,x97351)),f326(f326(f8(f880(x97352,f876(x97351)),f880(x97352,x97351),f873(x97351)),f74(f876(x97351),x97351,x97352,f237(x97351))),f326(f326(f8(f873(f879(x97352,x97351)),f880(x97352,f876(x97351)),f873(x97351)),f174(x97352,x97351)),f326(f178(x97352,x97351),f56(x97352))))),f55(x97351,f326(f191(f873(x97352)),f56(x97352)),f56(x97351))),f56(f880(x97352,x97351)))
% 149.08/148.75 [5664]E(x56641,f2(a1))+~E(f45(a1,x56642,x56641),f2(a1))+E(f326(f326(f39(a1),x56642),f326(f80(a1),x56641)),f326(f80(a1),f326(f326(f39(a1),x56642),x56641)))
% 149.08/148.75 [5682]~P39(x56822)+~P39(x56821)+P39(f326(f326(f115(f880(a1,a866)),x56821),x56822))
% 149.08/148.75 [5683]~P39(x56832)+~P39(x56831)+P39(f326(f326(f106(f880(a1,a866)),x56831),x56832))
% 149.08/148.75 [5700]~P59(x57001)+~P93(x57001)+E(f326(f80(x57001),f326(f326(f284(x57001),f79(x57001)),x57002)),f326(f326(f284(x57001),f326(f108(x57001),a102)),x57002))
% 149.08/148.75 [5815]E(x58151,f2(a1))+~E(f45(a1,x58152,x58151),f2(a1))+E(f326(f326(f39(a1),f326(f80(a1),x58152)),x58151),f326(f80(a1),f326(f326(f39(a1),x58152),x58151)))
% 149.08/148.75 [5952]~P105(x59521)+P28(x59521,x59522)+P103(f326(f326(f241(a872),f728(x59522,x59521)),f326(f191(f873(x59521)),x59522)))
% 149.08/148.75 [5953]~P105(x59531)+P28(x59531,x59532)+P103(f326(f326(f241(a872),f744(x59532,x59531)),f326(f191(f873(x59531)),x59532)))
% 149.08/148.75 [6107]~P93(x61071)+~E(f326(f108(x61071),x61072),f2(x61071))+P30(x61071,f326(f108(x61071),f326(f326(f81(a1),x61072),f326(f80(a1),a84))))
% 149.08/148.75 [6108]~P93(x61081)+~E(f326(f108(x61081),x61082),f2(x61081))+P30(x61081,f326(f108(x61081),f326(f326(f81(a1),a84),f326(f80(a1),x61082))))
% 149.08/148.75 [6110]E(f326(a51,f47(f326(f80(a1),x61101),f326(f80(a1),x61102))),f46(x61101,x61102))+P103(f326(f326(f240(a1),f2(a1)),x61101))+P103(f326(f326(f241(a1),f2(a1)),x61102))
% 149.08/148.75 [6240]~E(x62402,f2(a872))+~E(x62401,f2(a872))+P103(f326(f326(f240(a1),f326(f105(a1),x62401)),f326(f80(a1),f326(f105(a1),x62402))))
% 149.08/148.75 [6268]E(f326(f326(f81(a872),f326(f108(a872),x62681)),f326(f108(a872),x62682)),f326(f108(a872),f326(f326(f81(a1),x62681),x62682)))+P103(f326(f326(f241(a1),x62681),a84))+P103(f326(f326(f241(a1),x62682),a84))
% 149.08/148.75 [6397]~P74(x63971)+~P103(f326(f326(f240(x63971),f2(x63971)),x63972))+P103(f326(f326(f240(x63971),f326(f80(x63971),x63972)),x63972))
% 149.08/148.75 [6398]~P74(x63981)+~P103(f326(f326(f241(x63981),f2(x63981)),x63982))+P103(f326(f326(f241(x63981),f326(f80(x63981),x63982)),x63982))
% 149.08/148.75 [6571]E(f326(f326(f22(a872),f326(a109,x65711)),f326(a109,x65712)),f326(a109,f326(f326(f22(a1),x65711),x65712)))+~P103(f326(f326(f240(a1),f2(a1)),x65712))+~P103(f326(f326(f240(a1),x65712),x65711))
% 149.08/148.75 [6604]E(f326(a109,f45(a1,f326(f108(a1),x66041),f326(f108(a1),x66042))),f45(a872,f326(f108(a872),x66041),f326(f108(a872),x66042)))+P103(f326(a196,f326(f108(a1),x66041)))+P103(f326(a196,f326(f108(a1),x66042)))
% 149.08/148.75 [6622]~P74(x66221)+P103(f326(f326(f240(x66221),f2(x66221)),x66222))+~P103(f326(f326(f240(x66221),f326(f80(x66221),x66222)),x66222))
% 149.08/148.75 [6623]~P74(x66231)+P103(f326(f326(f241(x66231),f2(x66231)),x66232))+~P103(f326(f326(f241(x66231),f326(f80(x66231),x66232)),x66232))
% 149.08/148.75 [6635]~P74(x66351)+~P103(f326(f326(f240(x66351),f2(x66351)),x66352))+P103(f326(f326(f240(x66351),f2(x66351)),f326(f326(f81(x66351),x66352),x66352)))
% 149.08/148.75 [6637]~P74(x66371)+~P103(f326(f326(f241(x66371),f2(x66371)),x66372))+P103(f326(f326(f241(x66371),f2(x66371)),f326(f326(f81(x66371),x66372),x66372)))
% 149.08/148.75 [6648]E(f326(f326(f81(a872),f326(a109,x66481)),f326(a109,x66482)),f326(a109,f326(f326(f81(a1),x66481),x66482)))+~P103(f326(f326(f240(a1),f2(a1)),x66482))+~P103(f326(f326(f240(a1),f2(a1)),x66481))
% 149.08/148.75 [6660]E(x66601,f2(a872))+P103(f326(f326(f241(a872),f2(a872)),x66602))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f251(a872),x66602),x66601)))
% 149.08/148.75 [6690]~P93(x66901)+E(f326(f108(x66901),x66902),f2(x66901))+~P30(x66901,f326(f108(x66901),f326(f326(f81(a1),a84),f326(f80(a1),x66902))))
% 149.08/148.75 [6691]~P93(x66911)+E(f326(f108(x66911),x66912),f2(x66911))+~P30(x66911,f326(f108(x66911),f326(f326(f81(a1),x66912),f326(f80(a1),a84))))
% 149.08/148.75 [6750]~P103(f326(f62(x67501),x67502))+~P103(f326(f62(x67501),f249(f880(x67501,a866))))+P103(f326(f62(x67501),f326(f80(f880(x67501,a866)),x67502)))
% 149.08/148.75 [6773]~P103(f326(f326(f241(a1),f2(a1)),x67732))+~P103(f326(f326(f240(a1),x67732),x67731))+P103(f326(f326(f241(a1),f2(a1)),f326(f326(f39(a1),x67731),x67732)))
% 149.08/148.75 [6774]~P103(f326(f326(f240(a1),x67741),f2(a1)))+~P103(f326(f326(f241(a1),x67742),f2(a1)))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f39(a1),x67741),x67742)))
% 149.08/148.75 [6812]~P103(f326(f326(f240(a1),f2(a1)),x68122))+~P103(f326(f326(f240(a1),f2(a1)),x68121))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),x68121),x68122)))
% 149.08/148.75 [6813]~P103(f326(f326(f240(a1),f2(a1)),x68132))+~P103(f326(f326(f240(a1),f2(a1)),x68131))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f82(a1),x68131),x68132)))
% 149.08/148.75 [6814]~P103(f326(f326(f240(a1),f2(a1)),x68142))+~P103(f326(f326(f240(a1),f2(a1)),x68141))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f39(a1),x68141),x68142)))
% 149.08/148.75 [6815]~P103(f326(f326(f240(a1),f2(a1)),x68151))+~P103(f326(f326(f241(a1),f2(a1)),x68152))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f39(a1),x68151),x68152)))
% 149.08/148.75 [6816]~P103(f326(f326(f241(a872),f2(a872)),x68162))+~P103(f326(f326(f241(a872),f2(a872)),x68161))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f82(a872),x68161),x68162)))
% 149.08/148.75 [6881]E(x68811,f2(a1))+E(f45(a1,x68812,x68811),f2(a1))+E(f326(f326(f22(a1),f326(f80(a1),f326(f326(f39(a1),x68812),x68811))),f79(a1)),f326(f326(f39(a1),f326(f80(a1),x68812)),x68811))
% 149.08/148.75 [6936]P103(f326(f326(f241(a872),f2(a872)),x69361))+P103(f326(f326(f241(a872),f2(a872)),x69362))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f81(a872),x69362),x69361)))
% 149.08/148.75 [6940]~P74(x69401)+P103(f326(f326(f240(x69401),f2(x69401)),x69402))+~P103(f326(f326(f240(x69401),f2(x69401)),f326(f326(f81(x69401),x69402),x69402)))
% 149.08/148.75 [6941]~P74(x69411)+P103(f326(f326(f241(x69411),f2(x69411)),x69412))+~P103(f326(f326(f241(x69411),f2(x69411)),f326(f326(f81(x69411),x69412),x69412)))
% 149.08/148.75 [6996]~P103(f326(f62(x69961),x69962))+P103(f326(f62(x69961),f249(f880(x69961,a866))))+~P103(f326(f62(x69961),f326(f80(f880(x69961,a866)),x69962)))
% 149.08/148.75 [7059]P103(f326(f326(f240(a1),x70591),f2(a1)))+~P103(f326(f326(f241(a1),x70592),f2(a1)))+~P103(f326(f326(f240(a1),f2(a1)),f326(f326(f39(a1),x70591),x70592)))
% 149.08/148.75 [7065]~P103(f326(f326(f241(a1),f2(a1)),x70651))+P103(f326(f326(f240(a1),x70651),x70652))+~P103(f326(f326(f241(a1),f2(a1)),f326(f326(f39(a1),x70652),x70651)))
% 149.08/148.75 [7066]~P103(f326(f326(f240(a1),f2(a1)),x70662))+P103(f326(f326(f240(a1),x70661),x70662))+~P103(f326(f326(f241(a1),f2(a1)),f326(f326(f39(a1),x70662),x70661)))
% 149.08/148.75 [7095]P103(f326(f326(f240(a1),f2(a1)),x70951))+~P103(f326(f326(f241(a1),f2(a1)),x70952))+~P103(f326(f326(f240(a1),f2(a1)),f326(f326(f39(a1),x70951),x70952)))
% 149.08/148.75 [7096]P103(f326(f326(f241(a1),f2(a1)),x70961))+~P103(f326(f326(f240(a1),f2(a1)),x70962))+~P103(f326(f326(f241(a1),f2(a1)),f326(f326(f39(a1),x70962),x70961)))
% 149.08/148.75 [7542]~P103(f326(f62(x75422),f249(f880(x75422,a866))))+~P103(f326(f62(x75421),f249(f880(x75421,a866))))+P103(f326(f62(f878(x75421,x75422)),f249(f880(f878(x75421,x75422),a866))))
% 149.08/148.75 [7543]~P103(f326(f62(x75432),f249(f880(x75432,a866))))+~P103(f326(f62(x75431),f249(f880(x75431,a866))))+P103(f326(f62(f879(x75431,x75432)),f249(f880(f879(x75431,x75432),a866))))
% 149.08/148.75 [7612]~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x76121))+~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x76122))+P103(f326(f326(f241(a872),x76121),f326(f326(f82(a872),x76122),x76121)))
% 149.08/148.75 [7613]~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x76131))+~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x76132))+P103(f326(f326(f241(a872),x76131),f326(f326(f82(a872),x76131),x76132)))
% 149.08/148.75 [7647]E(f326(f38(x76471),f249(f880(x76471,a866))),f326(a117,f2(a872)))+P103(f326(f62(x76472),f249(f880(x76472,a866))))+~P103(f326(f62(f880(x76472,x76471)),f249(f880(f880(x76472,x76471),a866))))
% 149.08/148.75 [7774]~P103(f326(f326(f240(a872),f326(a117,f2(a872))),x77741))+~P103(f326(f326(f240(a872),f326(a117,f2(a872))),x77742))+P103(f326(f326(f240(a872),f326(a117,f2(a872))),f326(f326(f82(a872),x77741),x77742)))
% 149.08/148.75 [7775]~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x77752))+~P103(f326(f326(f241(a872),f326(a117,f2(a872))),x77751))+P103(f326(f326(f241(a872),f326(a117,f2(a872))),f326(f326(f82(a872),x77751),x77752)))
% 149.08/148.75 [8469]E(x84691,f118(x84692))+~P103(f326(f133(x84692),x84691))+E(f173(x84692,f326(f326(f8(a866,a866,x84692),a321),f326(f326(f7(x84692,x84692,a866),a323),f140(x84692,x84691))),x84691),f119(x84692,x84691))
% 149.08/148.75 [8564]~P39(x85642)+~P39(x85641)+E(f326(f305(a872,a1,f105(a1)),f326(f326(f115(f880(a872,a866)),f326(f305(a1,a872,a109),x85641)),f326(f305(a1,a872,a109),x85642))),f326(f326(f115(f880(a1,a866)),x85641),x85642))
% 149.08/148.75 [8565]~P39(x85652)+~P39(x85651)+E(f326(f305(a872,a1,f105(a1)),f326(f326(f106(f880(a872,a866)),f326(f305(a1,a872,a109),x85651)),f326(f305(a1,a872,a109),x85652))),f326(f326(f106(f880(a1,a866)),x85651),x85652))
% 149.08/148.75 [9218]~P93(x92181)+~E(f326(f108(x92181),x92182),f79(x92181))+P30(x92181,f326(f108(x92181),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f80(a1),x92182))))
% 149.08/148.75 [9451]~P93(x94511)+E(f326(f108(x94511),x94512),f79(x94511))+~P30(x94511,f326(f108(x94511),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f80(a1),x94512))))
% 149.08/148.75 [10179]E(x101791,f2(a1))+E(x101792,f2(a1))+E(f326(f266(a1,a1,a1,a1,f35(a1),f326(f82(a1),f83(a1,x101792))),f326(f326(f326(f101(f879(a1,a1)),f326(f326(a323,f83(a1,x101791)),f83(a1,x101792))),f53(x101791,x101792)),f326(f326(f265(a1,a1,f879(a1,a1)),f326(f326(f18(a1,f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f880(f879(a1,a1),f879(a1,a1))),f880(f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),a1),f18(a1,f879(a1,a1),f879(a1,a1))),f326(f326(f8(f879(a1,a1),f880(a1,f880(f879(a1,a1),f879(a1,a1))),a1),f326(f7(a1,f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),f326(f326(f8(a866,f880(f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),a1),f101(f879(a1,a1))),f326(f326(f7(a1,a1,a866),a323),f2(a1))))),f326(f326(f7(a1,a1,f879(a1,a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f80(a1))),f2(a1))))),f326(f326(f7(a1,f880(a1,a1),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f879(a1,a1)),f880(f880(a1,a1),f880(a1,f879(a1,a1))),a1),f8(a1,f879(a1,a1),a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f326(f326(f7(a1,a1,a1),f326(f326(f8(a1,f880(a1,a1),a1),f22(a1)),f80(a1))),f79(a1))))),f326(f22(a1),f326(f76(a1),x101792))))),f53(x101791,x101792)))),f46(x101791,x101792))
% 149.08/148.75 [10180]E(x101801,f2(a1))+E(x101802,f2(a1))+E(f326(f266(a1,a1,a1,a1,f35(a1),f326(f82(a1),f83(a1,x101802))),f326(f326(f326(f101(f879(a1,a1)),f326(f326(a325,f326(f326(a324,f326(f326(f241(a1),f2(a1)),x101802)),f326(f326(f240(a1),f2(a1)),x101801))),f326(f326(a324,f326(f326(f241(a1),x101802),f2(a1))),f326(f326(f241(a1),x101801),f2(a1))))),f53(x101801,x101802)),f326(f326(f265(a1,a1,f879(a1,a1)),f326(f326(f18(a1,f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f880(f879(a1,a1),f879(a1,a1))),f880(f880(a1,f879(a1,a1)),f880(a1,f879(a1,a1))),a1),f18(a1,f879(a1,a1),f879(a1,a1))),f326(f326(f8(f879(a1,a1),f880(a1,f880(f879(a1,a1),f879(a1,a1))),a1),f326(f7(a1,f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),f326(f326(f8(a866,f880(f879(a1,a1),f880(f879(a1,a1),f879(a1,a1))),a1),f101(f879(a1,a1))),f326(f326(f7(a1,a1,a866),a323),f2(a1))))),f326(f326(f7(a1,a1,f879(a1,a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f80(a1))),f2(a1))))),f326(f326(f7(a1,f880(a1,a1),f880(a1,f879(a1,a1))),f326(f326(f8(f880(a1,f879(a1,a1)),f880(f880(a1,a1),f880(a1,f879(a1,a1))),a1),f8(a1,f879(a1,a1),a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f326(f326(f7(a1,a1,a1),f326(f326(f8(a1,f880(a1,a1),a1),f22(a1)),f80(a1))),f79(a1))))),f326(f22(a1),f326(f76(a1),x101802))))),f53(x101801,x101802)))),f46(x101801,x101802))
% 149.08/148.75 [10181]~P1(a5000)+P20(a867,x101811,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),x101812),f197(x101812))),f190(f880(f871(a867),a866))))+~P20(a867,x101811,f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),f326(f326(f8(f880(a867,f880(a867,a866)),f880(a867,a866),a867),f326(f8(f880(a867,a866),a866,a867),f89(a867))),f326(f326(f8(f880(a867,a866),f880(a867,f880(a867,a866)),a867),f326(f7(a867,f880(a867,a866),f880(a867,a866)),f326(f326(f8(f880(a867,f880(a866,a866)),f880(f880(a867,a866),f880(a867,a866)),a867),f18(a867,a866,a866)),f326(f326(f8(f880(a867,a866),f880(a867,f880(a866,a866)),a867),f326(f8(a866,f880(a866,a866),a867),a329)),f197(x101812))))),a323))),x101812),a323)),f190(f880(f871(a867),a866))))
% 149.08/148.75 [5690]~P109(x56901)+~P93(x56901)+E(f326(f76(x56901),f326(f326(f251(x56901),f326(f108(x56901),a102)),x56902)),f79(x56901))
% 149.08/148.75 [6180]~P138(x61801)+~P103(f326(f326(f241(a1),x61802),f2(a1)))+E(f326(f80(x61801),f326(f105(x61801),f326(a109,f326(f80(a1),x61802)))),f326(f107(x61801),x61802))
% 149.08/148.75 [6381]P103(f326(f326(f240(a104),x63811),f79(a104)))+E(f326(f326(f81(a104),f79(a104)),f274(x63811,f326(f326(f39(a104),x63812),x63811))),f274(x63811,x63812))+P103(f326(f326(f241(a104),x63812),x63811))
% 149.08/148.75 [6981]~P92(x69811)+~P103(f326(f326(f328(x69811),x69812),f114(x69811)))+~E(f326(f326(f81(x69811),f326(f326(f81(x69811),f79(x69811)),x69812)),x69812),f2(x69811))
% 149.08/148.75 [7097]~P103(f326(f326(f240(a1),x70972),f2(a1)))+~P103(f326(f326(f241(a1),x70971),f2(a1)))+E(f326(f260(a1,a1),f326(a51,f47(f326(f80(a1),x70971),f326(f80(a1),x70972)))),f326(f326(f39(a1),x70971),x70972))
% 149.08/148.75 [7114]~P103(f326(f326(f240(a1),x71142),f2(a1)))+~P103(f326(f326(f241(a1),x71141),f2(a1)))+E(f326(f264(a1,a1),f326(a51,f47(f326(f80(a1),x71141),f326(f80(a1),x71142)))),f45(a1,x71141,x71142))
% 149.08/148.75 [7120]~P103(f326(f326(f241(a1),x71202),f2(a1)))+E(f326(f260(a1,a1),f326(a51,f50(f326(f80(a1),x71201),f326(f80(a1),x71202)))),f326(f326(f39(a1),x71201),x71202))+~P103(f326(f326(f241(a1),f2(a1)),x71201))
% 149.08/148.75 [7138]~P103(f326(f326(f241(a1),x71382),f2(a1)))+E(f326(f264(a1,a1),f326(a51,f50(f326(f80(a1),x71381),f326(f80(a1),x71382)))),f45(a1,x71381,x71382))+~P103(f326(f326(f241(a1),f2(a1)),x71381))
% 149.08/148.75 [7191]E(f326(f326(f39(a1),f326(f326(f251(a1),x71911),x71912)),x71911),f326(f326(f251(a1),x71911),f326(f326(f22(a872),x71912),f326(a117,f2(a872)))))+~P103(f326(f326(f241(a872),f2(a872)),x71912))+~P103(f326(f326(f241(a1),f2(a1)),x71911))
% 149.08/148.75 [7284]~P103(f326(f326(f241(a872),f2(a872)),x72841))+~P103(f326(f326(f241(a872),f2(a872)),x72842))+P103(f326(f326(f241(a872),f326(f326(f22(a872),x72841),x72842)),x72841))
% 149.08/148.75 [7285]~P103(f326(f326(f241(a872),f2(a872)),x72851))+~P103(f326(f326(f241(a872),f79(a872)),x72852))+P103(f326(f326(f241(a872),f326(f326(f39(a872),x72851),x72852)),x72851))
% 149.08/148.75 [7286]~P103(f326(f326(f241(a1),f2(a1)),x72861))+~P103(f326(f326(f241(a1),f79(a1)),x72862))+P103(f326(f326(f241(a1),f326(f326(f39(a1),x72861),x72862)),x72861))
% 149.08/148.75 [7434]E(x74341,f2(a872))+~E(x74342,f2(a1))+~P103(f326(f326(f241(a1),f2(a1)),f326(f326(f251(a1),f326(f76(a1),x74342)),x74341)))
% 149.08/148.75 [7852]~E(x78522,f118(f873(x78521)))+E(f326(f191(f873(f873(x78521))),f176(x78521,x78522)),f2(a872))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x78521),a872),f191(f873(x78521))),x78522)))
% 149.08/148.75 [8105]P103(f326(x81051,x81052))+~P103(f326(x81051,f326(a112,f586(x81051,x81052))))+~P103(f326(f326(f328(f880(f879(a872,a872),a866)),x81052),a103))
% 149.08/148.75 [8124]E(x81241,f118(f873(x81242)))+E(f326(f191(f873(x81242)),f326(f326(f161(f873(x81242)),x81241),f2(a872))),f326(f191(f873(f873(x81242))),f176(x81242,x81241)))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x81242),a872),f191(f873(x81242))),x81241)))
% 149.08/148.75 [8827]~P103(f326(f62(x88271),f326(f246(x88271),x88272)))+~P103(f326(f62(x88271),f249(f880(x88271,a866))))+P103(f326(f62(x88271),f326(f246(x88271),f326(f326(f8(a866,a866,x88271),a321),x88272))))
% 149.08/148.75 [8890]E(f326(f326(f261(a872,a872),f326(a117,f326(f326(f39(a872),f326(f326(f22(a872),x88901),x88902)),x88902))),f45(a872,f326(f326(f22(a872),x88901),x88902),x88902)),f86(f879(a872,a872),f48(x88901,x88902)))+~P103(f326(f326(f241(a872),f2(a872)),x88902))+~P103(f326(f326(f240(a872),x88902),x88901))
% 149.08/148.75 [9181]~P103(f326(f62(x91811),f326(f246(x91811),x91812)))+P103(f326(f62(x91811),f249(f880(x91811,a866))))+~P103(f326(f62(x91811),f326(f246(x91811),f326(f326(f8(a866,a866,x91811),a321),x91812))))
% 149.08/148.75 [9902]P22(x99021,x99022)+~P37(x99021,f326(f260(f880(f879(x99021,x99021),a866),f880(f879(x99021,x99021),a866)),x99022))+~P103(f326(f326(f240(f880(f879(x99021,x99021),a866)),f326(f326(f283(x99021,x99021,x99021),f326(f260(f880(f879(x99021,x99021),a866),f880(f879(x99021,x99021),a866)),x99022)),f326(f264(f880(f879(x99021,x99021),a866),f880(f879(x99021,x99021),a866)),x99022))),f326(f260(f880(f879(x99021,x99021),a866),f880(f879(x99021,x99021),a866)),x99022)))
% 149.08/148.75 [7217]~P103(f326(f326(f241(a872),f2(a872)),x72172))+P103(f326(f326(f241(a872),x72171),x72172))+E(f326(a117,f326(f326(f39(a872),f326(f326(f22(a872),x72171),x72172)),x72172)),f326(f326(f39(a872),x72171),x72172))
% 149.08/148.75 [7354]~P103(f326(f326(f241(a872),f2(a872)),x73542))+~P103(f326(f326(f240(a872),x73542),x73541))+E(f326(a117,f326(f326(f39(a872),f326(f326(f22(a872),x73541),x73542)),x73542)),f326(f326(f39(a872),x73541),x73542))
% 149.08/148.75 [8333]~P93(x83331)+~P92(x83331)+~P30(x83331,f326(f108(x83331),f326(f326(f22(a1),f326(f326(f81(a1),x83332),x83332)),a102)))
% 149.08/148.75 [9088]E(x90881,f2(a872))+E(f326(f326(f265(a872,a872,f879(a872,a872)),f326(f326(f8(a872,f880(a872,f879(a872,a872)),a872),f261(a872,a872)),a117)),f86(f879(a872,a872),f48(f326(f326(f22(a872),x90882),x90881),x90881))),f86(f879(a872,a872),f48(x90882,x90881)))+P103(f326(f326(f241(a872),x90882),x90881))
% 149.08/148.75 [9514]P103(f326(x95142,f666(x95142,x95141)))+P103(f326(x95141,f666(x95142,x95141)))+E(f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95141)),f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95142)))
% 149.08/148.75 [9518]~P103(f326(x95182,f666(x95182,x95181)))+~P103(f326(x95181,f666(x95182,x95181)))+E(f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95181)),f326(f246(a1),f326(f326(f18(a1,a866,a866),f326(f326(f8(a866,f880(a866,a866),a1),a324),f326(f240(a1),f2(a1)))),x95182)))
% 149.08/148.75 [7570]~P60(x75701)+~P93(x75701)+E(f326(f326(f284(x75701),x75702),f326(f108(x75701),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))),x75702)
% 149.08/148.75 [9217]~P93(x92171)+~E(f326(f108(x92171),x92172),f79(x92171))+P30(x92171,f326(f108(x92171),f326(f326(f81(a1),x92172),f326(f80(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9394]~P137(x93941)+~E(x93942,f79(x93941))+E(f326(f326(f251(x93941),x93942),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(x93941))
% 149.08/148.75 [9395]~P137(x93951)+~E(x93952,f2(x93951))+E(f326(f326(f251(x93951),x93952),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f2(x93951))
% 149.08/148.75 [9408]~P137(x94081)+~E(x94082,f326(f80(x94081),f79(x94081)))+E(f326(f326(f251(x94081),x94082),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(x94081))
% 149.08/148.75 [9452]~P93(x94521)+E(f326(f108(x94521),x94522),f79(x94521))+~P30(x94521,f326(f108(x94521),f326(f326(f81(a1),x94522),f326(f80(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.75 [9836]~P109(x98362)+E(x98361,f2(x98362))+P103(f326(f326(f241(x98362),f2(x98362)),f326(f326(f251(x98362),x98361),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.75 [9901]~P109(x99012)+~E(x99011,f2(x99012))+~P103(f326(f326(f241(x99012),f2(x99012)),f326(f326(f251(x99012),x99011),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.75 [9927]P103(f326(f326(f240(a1),x99271),f2(a1)))+P103(f326(f326(f241(a1),x99272),x99271))+E(f326(f44(x99271),f47(x99272,f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99271))),f47(x99272,x99271))
% 149.08/148.75 [9928]~P103(f326(f326(f241(a1),f2(a1)),x99281))+P103(f326(f326(f241(a1),x99282),x99281))+E(f326(f44(x99281),f47(x99282,f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99281))),f47(x99282,x99281))
% 149.08/148.75 [9929]P103(f326(f326(f240(a1),x99291),f2(a1)))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),x99292),x99291)))+E(f326(f44(x99291),f50(x99292,f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99291))),f50(x99292,x99291))
% 149.08/148.75 [9930]~P103(f326(f326(f241(a1),f2(a1)),x99301))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),x99302),x99301)))+E(f326(f44(x99301),f50(x99302,f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99301))),f50(x99302,x99301))
% 149.08/148.75 [9931]~P142(x99311)+~P103(f326(f326(f240(a1),f2(a1)),x99312))+E(f326(f105(x99311),f326(a109,f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x99312))),f326(f326(f81(x99311),f326(f105(x99311),f326(a109,x99312))),f326(f105(x99311),f326(a109,x99312))))
% 149.08/148.75 [5026]~P144(x50261,x50263,x50262)+~E(x50263,f2(a1))+P103(f326(x50261,x50262))
% 149.08/148.75 [5147]~P105(x51471)+~P28(x51471,x51473)+P28(x51471,f166(x51471,x51472,x51473))
% 149.08/148.75 [5148]~P105(x51481)+~P28(x51481,x51483)+P28(x51481,f173(x51481,x51482,x51483))
% 149.08/148.75 [4730]~P71(x47302)+~E(x47303,f326(f80(x47302),x47301))+E(x47301,f326(f80(x47302),x47303))
% 149.08/148.75 [4732]~P71(x47321)+~E(f326(f80(x47321),x47323),x47322)+E(f326(f80(x47321),x47322),x47323)
% 149.08/148.75 [4806]~P71(x48063)+E(x48061,x48062)+~E(f326(f80(x48063),x48061),f326(f80(x48063),x48062))
% 149.08/148.75 [4807]~P86(x48073)+E(x48071,x48072)+~E(f326(f80(x48073),x48071),f326(f80(x48073),x48072))
% 149.08/148.75 [4808]~P105(x48083)+E(x48081,x48082)+~E(f326(f247(x48083),x48081),f326(f247(x48083),x48082))
% 149.08/148.75 [4809]~P101(x48093)+E(x48091,x48092)+~E(f326(f105(x48093),x48091),f326(f105(x48093),x48092))
% 149.08/148.75 [4810]~P105(x48103)+E(x48101,x48102)+~E(f326(f298(x48103),x48101),f326(f298(x48103),x48102))
% 149.08/148.75 [4811]~P105(x48113)+E(x48111,x48112)+~E(f326(f248(x48113),x48111),f326(f248(x48113),x48112))
% 149.08/148.75 [4812]~P105(x48123)+E(x48121,x48122)+~E(f326(f295(x48123),x48121),f326(f295(x48123),x48122))
% 149.08/148.75 [4813]~P92(x48133)+E(x48131,x48132)+~E(f326(f107(x48133),x48131),f326(f107(x48133),x48132))
% 149.08/148.75 [4913]~P58(x49131)+~P103(f326(x49132,x49133))+P103(f326(f58(x49131),x49132))
% 149.08/148.75 [4946]~P58(x49463)+P103(f326(x49461,x49462))+~P103(f326(f59(x49463),x49461))
% 149.08/148.75 [5044]~P145(x50441,x50442,x50443)+~E(x50442,f2(a1))+P103(f326(x50441,f2(a1)))
% 149.08/148.75 [5081]~E(x50811,f2(a872))+E(f770(x50811,x50812,x50813),f190(f880(x50813,a866)))+~E(f326(f38(x50813),x50812),f326(a117,x50811))
% 149.08/148.75 [5236]~E(x52362,f2(a872))+E(f326(f260(a872,a872),x52361),f2(a872))+~P103(f326(f48(x52363,x52362),x52361))
% 149.08/148.75 [5283]P103(f326(x52831,x52832))+~E(x52833,f326(f105(a1),x52832))+~P103(f326(x52831,f326(a109,x52833)))
% 149.08/148.75 [5754]~E(x57543,f2(a872))+~P103(f326(x57541,x57542))+P103(f326(x57541,f45(a872,x57542,x57543)))
% 149.08/148.75 [5885]~P103(f326(a25,x58853))+~P103(f326(a25,x58852))+P103(f326(a25,f31(x58851,x58852,x58853)))
% 149.08/148.75 [5917]~P58(x59173)+~P7(x59173,x59171,x59172)+P103(f326(x59171,f745(x59172,x59171,x59173)))
% 149.08/148.75 [6164]~E(x61643,f2(a872))+P103(f326(x61641,x61642))+~P103(f326(x61641,f45(a872,x61642,x61643)))
% 149.08/148.75 [6311]~P58(x63111)+P8(x63111,x63112,x63113)+~P103(f326(x63112,f746(x63113,x63112,x63111)))
% 149.08/148.75 [6838]E(x68381,f2(a872))+~P103(f326(x68382,f501(x68381,x68383,x68382)))+P103(f326(x68382,f45(a872,x68383,x68381)))
% 149.08/148.75 [6946]~P26(x69461)+~P103(f326(f326(f240(x69461),x69462),f351(x69463,x69462,x69461)))+P103(f326(f326(f240(x69461),x69462),f41(x69461,x69463)))
% 149.08/148.75 [6948]~P103(f326(x69481,x69482))+~P103(f326(x69481,f501(x69483,x69482,x69481)))+P103(f326(x69481,f45(a872,x69482,x69483)))
% 149.08/148.75 [7052]E(x70521,f118(x70522))+E(f326(f326(f147(x70522),f712(x70523,x70521,x70522)),f720(x70523,x70521,x70522)),x70521)+~P103(f326(f326(f328(f873(x70522)),x70521),f157(x70522,x70523)))
% 149.08/148.75 [7084]~P138(x70841)+~P103(f326(f326(f328(x70841),x70842),f114(x70841)))+P103(f326(f326(f328(x70841),f326(f326(f251(x70841),x70842),x70843)),f114(x70841)))
% 149.08/148.75 [7403]P37(x74031,x74032)+~P103(f326(f326(f328(x74031),x74033),f640(x74032,x74031)))+P103(f326(f326(f328(x74031),f663(x74032,x74031,x74033)),f640(x74032,x74031)))
% 149.08/148.75 [7673]E(x76731,f118(x76732))+~P103(f326(f326(f328(f873(x76732)),x76731),f157(x76732,x76733)))+P103(f326(f326(f328(f873(x76732)),f720(x76733,x76731,x76732)),f157(x76732,x76733)))
% 149.08/148.75 [7726]E(x77261,f2(a872))+E(f326(f326(f81(a872),f326(f326(f82(a872),x77261),f502(x77261,x77262,x77263))),f501(x77261,x77262,x77263)),x77262)+P103(f326(x77263,f45(a872,x77262,x77261)))
% 149.08/148.75 [7769]~P103(f326(x77693,x77692))+E(f326(f326(f81(a872),f326(f326(f82(a872),x77691),f502(x77691,x77692,x77693))),f501(x77691,x77692,x77693)),x77692)+P103(f326(x77693,f45(a872,x77692,x77691)))
% 149.08/148.75 [7908]P103(f326(f326(f241(a1),x79081),f488(x79082,x79083,x79081)))+P103(f326(f326(x79083,f326(f326(f39(a1),x79082),x79081)),f45(a1,x79082,x79081)))+~P103(f326(f326(f241(a1),x79081),f2(a1)))
% 149.08/148.75 [8185]P103(f326(f326(x81852,f326(f326(f39(a1),x81851),x81853)),f45(a1,x81851,x81853)))+~P103(f326(f326(f241(a1),x81853),f2(a1)))+P103(f326(f326(f240(a1),f488(x81851,x81852,x81853)),f2(a1)))
% 149.08/148.75 [8367]E(f326(f326(f81(a1),f326(f326(f82(a1),x83671),f489(x83672,x83673,x83671))),f488(x83672,x83673,x83671)),x83672)+P103(f326(f326(x83673,f326(f326(f39(a1),x83672),x83671)),f45(a1,x83672,x83671)))+~P103(f326(f326(f241(a1),x83671),f2(a1)))
% 149.08/148.75 [8610]~P103(f326(f326(x86101,f489(x86102,x86101,x86103)),f488(x86102,x86101,x86103)))+P103(f326(f326(x86101,f326(f326(f39(a1),x86102),x86103)),f45(a1,x86102,x86103)))+~P103(f326(f326(f241(a1),x86103),f2(a1)))
% 149.08/148.75 [8837]~P105(x88371)+~P28(x88371,x88373)+P28(x88371,f145(x88371,x88371,f5(x88371),x88372,x88373))
% 149.08/148.75 [9343]~P122(x93432)+E(x93431,f2(x93432))+~P103(f326(f326(f240(x93432),f326(f326(f81(x93432),f326(f326(f82(x93432),x93433),x93433)),f326(f326(f82(x93432),x93431),x93431))),f2(x93432)))
% 149.08/148.75 [9344]~P122(x93442)+E(x93441,f2(x93442))+~P103(f326(f326(f240(x93442),f326(f326(f81(x93442),f326(f326(f82(x93442),x93441),x93441)),f326(f326(f82(x93442),x93443),x93443))),f2(x93442)))
% 149.08/148.75 [10117]~P109(x101171)+~P103(f326(f326(f241(x101171),x101172),f2(x101171)))+P103(f326(f326(f241(x101171),f326(f326(f251(x101171),x101172),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x101173)))),f2(x101171)))
% 149.08/148.75 [10125]~P109(x101252)+E(x101251,f2(x101252))+~P103(f326(f326(f240(x101252),f326(f326(f81(x101252),f326(f326(f251(x101252),x101253),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x101252),x101251),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f2(x101252)))
% 149.08/148.75 [10126]~P109(x101262)+E(x101261,f2(x101262))+~P103(f326(f326(f240(x101262),f326(f326(f81(x101262),f326(f326(f251(x101262),x101261),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x101262),x101263),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f2(x101262)))
% 149.08/148.75 [4762]~E(x47622,x47623)+~P65(x47621)+E(f326(f326(f22(x47621),x47622),x47623),f2(x47621))
% 149.08/148.75 [4763]~E(x47632,x47633)+~P71(x47631)+E(f326(f326(f22(x47631),x47632),x47633),f2(x47631))
% 149.08/148.75 [4776]~P135(x47761)+~E(x47763,f2(x47761))+E(f326(f326(f81(x47761),x47762),x47763),x47762)
% 149.08/148.75 [4793]~P136(x47931)+~E(x47933,f2(x47931))+E(f326(f326(f82(x47931),x47932),x47933),f2(x47931))
% 149.08/148.75 [4794]~P136(x47941)+~E(x47942,f2(x47941))+E(f326(f326(f82(x47941),x47942),x47943),f2(x47941))
% 149.08/148.75 [4815]~E(x48153,f118(x48151))+~E(x48152,f118(x48151))+E(f326(f326(f126(x48151),x48152),x48153),f118(x48151))
% 149.08/148.75 [4903]~P135(x49032)+E(x49031,f2(x49032))+~E(f326(f326(f81(x49032),x49033),x49031),x49033)
% 149.08/148.75 [4904]~P71(x49041)+~E(x49042,f326(f80(x49041),x49043))+E(f326(f326(f81(x49041),x49042),x49043),f2(x49041))
% 149.08/148.75 [4911]E(x49111,f118(x49112))+E(x49113,f2(a872))+~E(f326(f326(f171(x49112),x49113),x49111),f118(x49112))
% 149.08/148.75 [4917]~P65(x49173)+E(x49171,x49172)+~E(f326(f326(f22(x49173),x49171),x49172),f2(x49173))
% 149.08/148.75 [4918]~P71(x49183)+E(x49181,x49182)+~E(f326(f326(f22(x49183),x49181),x49182),f2(x49183))
% 149.08/148.75 [4927]~P137(x49272)+E(x49271,f2(x49272))+~E(f326(f326(f251(x49272),x49271),x49273),f2(x49272))
% 149.08/148.75 [4928]~P77(x49282)+E(x49281,f190(x49282))+~E(f326(f326(f115(x49282),x49283),x49281),f190(x49282))
% 149.08/148.75 [4929]~P77(x49292)+E(x49291,f190(x49292))+~E(f326(f326(f115(x49292),x49291),x49293),f190(x49292))
% 149.08/148.75 [4930]~P99(x49302)+E(x49301,f249(x49302))+~E(f326(f326(f106(x49302),x49303),x49301),f249(x49302))
% 149.08/148.75 [4931]~P99(x49312)+E(x49311,f249(x49312))+~E(f326(f326(f106(x49312),x49311),x49313),f249(x49312))
% 149.08/148.75 [4997]~P71(x49972)+E(x49971,f326(f80(x49972),x49973))+~E(f326(f326(f81(x49972),x49971),x49973),f2(x49972))
% 149.08/148.75 [4998]~P71(x49981)+E(f326(f80(x49981),x49982),x49983)+~E(f326(f326(f81(x49981),x49982),x49983),f2(x49981))
% 149.08/148.75 [5000]~E(x50002,x50003)+~P104(x50001)+P103(f326(f326(f240(x50001),x50002),x50003))
% 149.08/148.75 [5002]~E(x50022,x50023)+~P107(x50021)+P103(f326(f326(f240(x50021),x50022),x50023))
% 149.08/148.75 [5003]~E(x50032,x50033)+~P95(x50031)+P103(f326(f326(f92(x50031),x50032),x50033))
% 149.08/148.75 [5097]~P117(x50971)+~E(x50972,f326(f80(x50971),x50973))+E(f326(f326(f82(x50971),x50972),x50972),f326(f326(f82(x50971),x50973),x50973))
% 149.08/148.75 [5105]~P105(x51051)+~P28(x51051,x51053)+P28(x51051,f326(f326(f171(x51051),x51052),x51053))
% 149.08/148.75 [5106]~P105(x51061)+~P28(x51061,x51063)+P28(x51061,f326(f326(f134(x51061),x51062),x51063))
% 149.08/148.75 [5145]E(x51451,x51452)+E(x51453,f2(a872))+~E(f326(f326(f82(a872),x51453),x51451),f326(f326(f82(a872),x51453),x51452))
% 149.08/148.75 [5146]E(x51461,x51462)+E(x51463,f2(a872))+~E(f326(f326(f82(a872),x51461),x51463),f326(f326(f82(a872),x51462),x51463))
% 149.08/148.75 [5227]~E(x52272,x52273)+~P107(x52271)+E(f297(x52271,x52272,x52273),f326(f326(f304(x52271),x52272),f190(f880(x52271,a866))))
% 149.08/148.75 [5271]E(x52711,x52712)+~P95(x52713)+~P103(f326(f326(f92(x52713),x52711),x52712))
% 149.08/148.75 [5281]~E(x52811,x52812)+~P105(x52813)+~P103(f326(f326(f241(x52813),x52811),x52812))
% 149.08/148.75 [5282]~E(x52821,x52822)+~P107(x52823)+~P103(f326(f326(f241(x52823),x52821),x52822))
% 149.08/148.75 [5292]~P107(x52921)+E(f326(f296(x52921,x52922),x52923),f190(f880(x52921,a866)))+P103(f326(f326(f241(x52921),x52922),x52923))
% 149.08/148.75 [5340]~P107(x53401)+E(f297(x53401,x53402,x53403),f190(f880(x53401,a866)))+P103(f326(f326(f240(x53401),x53402),x53403))
% 149.08/148.75 [5341]~P107(x53411)+E(f299(x53411,x53412,x53413),f190(f880(x53411,a866)))+P103(f326(f326(f241(x53411),x53412),x53413))
% 149.08/148.75 [5342]~P107(x53421)+E(f190(f880(x53421,a866)),f297(x53421,x53422,x53423))+P103(f326(f326(f240(x53421),x53422),x53423))
% 149.08/148.75 [5343]~P107(x53431)+E(f190(f880(x53431,a866)),f299(x53431,x53432,x53433))+P103(f326(f326(f241(x53431),x53432),x53433))
% 149.08/148.75 [5351]~P63(x53511)+~E(f326(f326(f115(x53511),x53512),x53513),x53513)+P103(f326(f326(f240(x53511),x53512),x53513))
% 149.08/148.75 [5352]~P100(x53521)+~E(f326(f326(f106(x53521),x53522),x53523),x53522)+P103(f326(f326(f240(x53521),x53522),x53523))
% 149.08/148.75 [5353]~P105(x53531)+~E(f326(f326(f238(x53531),x53532),x53533),x53532)+P103(f326(f326(f240(x53531),x53532),x53533))
% 149.08/148.75 [5354]~P105(x53541)+~E(f326(f326(f239(x53541),x53542),x53543),x53543)+P103(f326(f326(f240(x53541),x53542),x53543))
% 149.08/148.75 [5374]~P105(x53741)+P28(x53741,x53742)+~P28(x53741,f326(f326(f147(x53741),x53743),x53742))
% 149.08/148.75 [5375]~P105(x53751)+P28(x53751,x53752)+~P28(x53751,f326(f326(f126(x53751),x53753),x53752))
% 149.08/148.75 [5376]~P105(x53761)+P28(x53761,x53762)+~P28(x53761,f326(f326(f126(x53761),x53762),x53763))
% 149.08/148.75 [5441]~P105(x54411)+P103(f326(f326(f240(x54411),x54413),x54412))+P103(f326(f326(f240(x54411),x54412),x54413))
% 149.08/148.75 [5446]~P105(x54461)+P103(f326(f326(f241(x54461),x54463),x54462))+P103(f326(f326(f240(x54461),x54462),x54463))
% 149.08/148.75 [5485]~P63(x54851)+E(f326(f326(f115(x54851),x54852),x54853),x54852)+~P103(f326(f326(f240(x54851),x54853),x54852))
% 149.08/148.75 [5487]~P63(x54871)+E(f326(f326(f115(x54871),x54872),x54873),x54873)+~P103(f326(f326(f240(x54871),x54872),x54873))
% 149.08/148.75 [5488]~P100(x54881)+E(f326(f326(f106(x54881),x54882),x54883),x54883)+~P103(f326(f326(f240(x54881),x54883),x54882))
% 149.08/148.75 [5490]~P100(x54901)+E(f326(f326(f106(x54901),x54902),x54903),x54902)+~P103(f326(f326(f240(x54901),x54902),x54903))
% 149.08/148.75 [5491]~P105(x54911)+E(f326(f326(f238(x54911),x54912),x54913),x54913)+~P103(f326(f326(f240(x54911),x54913),x54912))
% 149.08/148.75 [5493]~P105(x54931)+E(f326(f326(f238(x54931),x54932),x54933),x54932)+~P103(f326(f326(f240(x54931),x54932),x54933))
% 149.08/148.75 [5494]~P105(x54941)+E(f326(f326(f239(x54941),x54942),x54943),x54942)+~P103(f326(f326(f240(x54941),x54943),x54942))
% 149.08/148.75 [5496]~P105(x54961)+E(f326(f326(f239(x54961),x54962),x54963),x54963)+~P103(f326(f326(f240(x54961),x54962),x54963))
% 149.08/148.75 [5503]~P118(x55032)+E(x55031,f2(x55032))+E(f326(f326(f284(x55032),f326(f80(x55032),x55033)),f326(f80(x55032),x55031)),f326(f326(f284(x55032),x55033),x55031))
% 149.08/148.75 [5548]~P107(x55481)+E(f326(f296(x55481,x55482),x55483),f190(f880(x55481,a866)))+~P103(f326(f326(f240(x55481),x55483),x55482))
% 149.08/148.75 [5579]~P107(x55791)+E(f297(x55791,x55792,x55793),f190(f880(x55791,a866)))+~P103(f326(f326(f241(x55791),x55793),x55792))
% 149.08/148.75 [5580]~P107(x55801)+E(f300(x55801,x55802,x55803),f190(f880(x55801,a866)))+~P103(f326(f326(f240(x55801),x55803),x55802))
% 149.08/148.75 [5581]~P107(x55811)+E(f299(x55811,x55812,x55813),f190(f880(x55811,a866)))+~P103(f326(f326(f240(x55811),x55813),x55812))
% 149.08/148.75 [5632]~E(f326(f326(f22(a872),x56321),x56323),x56322)+E(x56321,f326(f326(f81(a872),x56322),x56323))+~P103(f326(f326(f240(a872),x56323),x56321))
% 149.08/148.75 [5633]~E(x56331,f326(f326(f81(a872),x56333),x56332))+E(f326(f326(f22(a872),x56331),x56332),x56333)+~P103(f326(f326(f240(a872),x56332),x56331))
% 149.08/148.75 [5679]~P103(f326(x56791,x56793))+P103(f326(x56791,f382(x56791,x56792)))+~P103(f326(f326(f240(a872),x56793),x56792))
% 149.08/148.75 [5680]~P103(f326(x56801,x56803))+P103(f326(x56801,f385(x56801,x56802)))+~P103(f326(f326(f241(a872),x56803),x56802))
% 149.08/148.75 [5688]~P107(x56881)+~E(f326(f296(x56881,x56882),x56883),f190(f880(x56881,a866)))+~P103(f326(f326(f241(x56881),x56882),x56883))
% 149.08/148.75 [5692]~P104(x56921)+~P103(f326(f326(f241(x56921),x56922),x56923))+P103(f326(f326(f240(x56921),x56922),x56923))
% 149.08/148.75 [5694]~P107(x56941)+~P103(f326(f326(f241(x56941),x56942),x56943))+P103(f326(f326(f240(x56941),x56942),x56943))
% 149.08/148.75 [5802]~P107(x58021)+~E(f297(x58021,x58022,x58023),f190(f880(x58021,a866)))+~P103(f326(f326(f240(x58021),x58022),x58023))
% 149.08/148.75 [5803]~P107(x58031)+~E(f299(x58031,x58032,x58033),f190(f880(x58031,a866)))+~P103(f326(f326(f241(x58031),x58032),x58033))
% 149.08/148.75 [5804]~P107(x58041)+~E(f190(f880(x58041,a866)),f297(x58041,x58042,x58043))+~P103(f326(f326(f240(x58041),x58042),x58043))
% 149.08/148.75 [5805]~P107(x58051)+~E(f190(f880(x58051,a866)),f299(x58051,x58052,x58053))+~P103(f326(f326(f241(x58051),x58052),x58053))
% 149.08/148.75 [5813]P103(f326(x58131,x58132))+~P103(f326(x58131,f386(x58131,x58133)))+~P103(f326(f326(f240(a872),x58132),x58133))
% 149.08/148.75 [5814]P103(f326(x58141,x58142))+~P103(f326(x58141,f392(x58141,x58143)))+~P103(f326(f326(f241(a872),x58142),x58143))
% 149.08/148.75 [5822]~E(x58221,f326(a117,x58223))+P103(f326(f326(f241(a872),x58221),f326(a117,x58222)))+~P103(f326(f326(f241(a872),x58223),x58222))
% 149.08/148.75 [5838]E(x58381,x58382)+~E(f326(f326(f82(a872),x58383),x58381),f326(f326(f82(a872),x58383),x58382))+~P103(f326(f326(f241(a872),f2(a872)),x58383))
% 149.08/148.75 [5896]E(f326(x58961,f851(x58961,x58962,x58963)),f79(a872))+~E(f326(f326(f6(x58963,a872),x58961),x58962),f79(a872))+~P103(f326(f62(x58963),x58962))
% 149.08/148.75 [5908]~P26(x59081)+P103(f326(f326(f240(x59081),x59082),f40(x59081,x59083)))+~P103(f326(f326(f328(x59081),x59082),x59083))
% 149.08/148.75 [5935]~P104(x59351)+~P103(f326(f326(f241(x59351),x59353),x59352))+~P103(f326(f326(f240(x59351),x59352),x59353))
% 149.08/148.75 [5939]~P104(x59391)+~P103(f326(f326(f241(x59391),x59393),x59392))+~P103(f326(f326(f241(x59391),x59392),x59393))
% 149.08/148.75 [5942]~P105(x59421)+~P103(f326(f326(f241(x59421),x59423),x59422))+~P103(f326(f326(f240(x59421),x59422),x59423))
% 149.08/148.75 [5943]~P105(x59431)+~P103(f326(f326(f241(x59431),x59433),x59432))+~P103(f326(f326(f241(x59431),x59432),x59433))
% 149.08/148.75 [5944]~P107(x59441)+~P103(f326(f326(f241(x59441),x59443),x59442))+~P103(f326(f326(f241(x59441),x59442),x59443))
% 149.08/148.75 [5973]~E(f326(x59732,f852(x59732,x59733,x59731)),f2(a872))+E(f326(f326(f6(x59731,a872),x59732),x59733),f2(a872))+~P103(f326(f62(x59731),x59733))
% 149.08/148.75 [5974]~E(f326(x59742,f445(x59742,x59743,x59741)),f79(a872))+E(f326(f326(f9(x59741,a872),x59742),x59743),f79(a872))+~P103(f326(f62(x59741),x59743))
% 149.08/148.75 [5989]~P106(x59891)+~P103(f326(f326(f241(x59891),x59893),x59892))+P103(f326(f326(f328(x59891),x59892),f326(f298(x59891),x59893)))
% 149.08/148.75 [5990]~P106(x59901)+~P103(f326(f326(f240(x59901),x59903),x59902))+P103(f326(f326(f328(x59901),x59902),f326(f248(x59901),x59903)))
% 149.08/148.75 [5991]~P106(x59911)+~P103(f326(f326(f241(x59911),x59912),x59913))+P103(f326(f326(f328(x59911),x59912),f326(f247(x59911),x59913)))
% 149.08/148.75 [5992]~P106(x59921)+~P103(f326(f326(f240(x59921),x59922),x59923))+P103(f326(f326(f328(x59921),x59922),f326(f295(x59921),x59923)))
% 149.08/148.75 [6004]E(f326(x60041,f853(x60041,x60042,x60043)),f326(a117,f2(a872)))+~E(f326(f326(f6(x60043,a872),x60041),x60042),f326(a117,f2(a872)))+~P103(f326(f62(x60043),x60042))
% 149.08/148.75 [6087]~P26(x60871)+~P103(f326(f326(f328(x60871),x60873),x60872))+P103(f326(f326(f240(x60871),f41(x60871,x60872)),x60873))
% 149.08/148.75 [6104]~P103(f326(f326(f240(a872),x61041),x61043))+P103(f326(f326(f240(a872),x61041),x61042))+~P103(f326(f326(f240(a872),x61043),x61042))
% 149.08/148.75 [6105]~P103(f326(f326(f240(a1),x61051),x61053))+P103(f326(f326(f240(a1),x61051),x61052))+~P103(f326(f326(f240(a1),x61053),x61052))
% 149.08/148.75 [6122]~P106(x61221)+~P103(f326(f326(f328(x61221),x61223),f326(f248(x61221),x61222)))+P103(f326(f326(f240(x61221),x61222),x61223))
% 149.08/148.75 [6123]~P106(x61231)+~P103(f326(f326(f328(x61231),x61232),f326(f295(x61231),x61233)))+P103(f326(f326(f240(x61231),x61232),x61233))
% 149.08/148.75 [6124]~P106(x61241)+~P103(f326(f326(f328(x61241),x61243),f326(f298(x61241),x61242)))+P103(f326(f326(f241(x61241),x61242),x61243))
% 149.08/148.75 [6125]~P106(x61251)+~P103(f326(f326(f328(x61251),x61252),f326(f247(x61251),x61253)))+P103(f326(f326(f241(x61251),x61252),x61253))
% 149.08/148.75 [6246]P103(f326(x62461,x62462))+~P103(f326(x62461,f597(x62461)))+~P103(f326(f326(f328(x62463),x62462),f249(f880(x62463,a866))))
% 149.08/148.75 [6347]~P61(x63471)+P103(f326(f326(f241(x63471),f2(x63471)),f480(x63473,x63472,x63471)))+P103(f326(f326(f240(x63471),x63472),x63473))
% 149.08/148.75 [6414]~P78(x64141)+~P103(f326(f326(f240(x64141),x64143),f326(f80(x64141),x64142)))+P103(f326(f326(f240(x64141),x64142),f326(f80(x64141),x64143)))
% 149.08/148.75 [6416]~P78(x64161)+~P103(f326(f326(f241(x64161),x64163),f326(f80(x64161),x64162)))+P103(f326(f326(f241(x64161),x64162),f326(f80(x64161),x64163)))
% 149.08/148.75 [6428]~P103(f326(f326(f241(a872),x64281),x64283))+~P103(f326(f326(f241(a872),x64283),x64282))+P103(f326(f326(f241(a872),f326(a117,x64281)),x64282))
% 149.08/148.75 [6454]~P108(x64541)+P103(f326(f326(f240(x64541),f326(f105(x64541),x64542)),f326(f105(x64541),x64543)))+~P103(f326(f326(f240(a872),x64542),x64543))
% 149.08/148.75 [6455]~P109(x64551)+P103(f326(f326(f240(x64551),f326(f107(x64551),x64552)),f326(f107(x64551),x64553)))+~P103(f326(f326(f240(a1),x64552),x64553))
% 149.08/148.75 [6457]~P109(x64571)+P103(f326(f326(f241(x64571),f326(f107(x64571),x64572)),f326(f107(x64571),x64573)))+~P103(f326(f326(f241(a1),x64572),x64573))
% 149.08/148.75 [6458]~P108(x64581)+P103(f326(f326(f241(x64581),f326(f105(x64581),x64582)),f326(f105(x64581),x64583)))+~P103(f326(f326(f241(a872),x64582),x64583))
% 149.08/148.75 [6464]~P105(x64641)+E(f326(f326(f115(f880(x64641,a866)),f326(f247(x64641),x64642)),f326(f296(x64641,x64642),x64643)),f326(f247(x64641),x64643))+~P103(f326(f326(f240(x64641),x64642),x64643))
% 149.08/148.75 [6494]~P78(x64941)+~P103(f326(f326(f240(x64941),x64943),x64942))+P103(f326(f326(f240(x64941),f326(f80(x64941),x64942)),f326(f80(x64941),x64943)))
% 149.08/148.75 [6496]~P86(x64961)+~P103(f326(f326(f240(x64961),x64963),x64962))+P103(f326(f326(f240(x64961),f326(f80(x64961),x64962)),f326(f80(x64961),x64963)))
% 149.08/148.75 [6497]~P78(x64971)+~P103(f326(f326(f241(x64971),x64973),x64972))+P103(f326(f326(f241(x64971),f326(f80(x64971),x64972)),f326(f80(x64971),x64973)))
% 149.08/148.75 [6529]~P105(x65291)+E(f326(f326(f115(f880(x65291,a866)),f326(f247(x65291),x65292)),f297(x65291,x65292,x65293)),f326(f295(x65291),x65293))+~P103(f326(f326(f240(x65291),x65292),x65293))
% 149.08/148.75 [6530]~P105(x65301)+E(f326(f326(f115(f880(x65301,a866)),f326(f295(x65301),x65302)),f300(x65301,x65302,x65303)),f326(f247(x65301),x65303))+~P103(f326(f326(f241(x65301),x65302),x65303))
% 149.08/148.75 [6531]~P105(x65311)+E(f326(f326(f115(f880(x65311,a866)),f326(f295(x65311),x65312)),f299(x65311,x65312,x65313)),f326(f295(x65311),x65313))+~P103(f326(f326(f240(x65311),x65312),x65313))
% 149.08/148.75 [6566]~P105(x65661)+E(f326(f326(f115(f880(x65661,a866)),f326(f296(x65661,x65662),x65663)),f326(f248(x65661),x65663)),f326(f248(x65661),x65662))+~P103(f326(f326(f240(x65661),x65662),x65663))
% 149.08/148.75 [6721]~P105(x67211)+E(f326(f326(f115(f880(x67211,a866)),f297(x67211,x67212,x67213)),f326(f298(x67211),x67213)),f326(f248(x67211),x67212))+~P103(f326(f326(f240(x67211),x67212),x67213))
% 149.08/148.75 [6722]~P105(x67221)+E(f326(f326(f115(f880(x67221,a866)),f300(x67221,x67222,x67223)),f326(f248(x67221),x67223)),f326(f298(x67221),x67222))+~P103(f326(f326(f241(x67221),x67222),x67223))
% 149.08/148.75 [6723]~P105(x67231)+E(f326(f326(f115(f880(x67231,a866)),f299(x67231,x67232,x67233)),f326(f298(x67231),x67233)),f326(f298(x67231),x67232))+~P103(f326(f326(f240(x67231),x67232),x67233))
% 149.08/148.75 [6741]P103(f326(x67411,x67412))+~P103(f326(f326(f240(a872),x67412),x67413))+P103(f326(f326(f328(a872),f386(x67411,x67413)),f297(a872,f2(a872),x67413)))
% 149.08/148.75 [6775]E(x67751,x67752)+~E(f326(f326(f161(x67753),x67751),f686(x67753,x67752,x67751)),f326(f326(f161(x67753),x67752),f686(x67753,x67752,x67751)))+~E(f326(f191(f873(x67753)),x67751),f326(f191(f873(x67753)),x67752))
% 149.08/148.75 [6780]~E(x67803,f326(f326(f39(a872),x67801),x67802))+~P103(f326(f326(f241(a872),f2(a872)),x67802))+P103(f326(f326(f241(a872),x67801),f326(f326(f82(a872),x67802),f326(a117,x67803))))
% 149.08/148.75 [6797]~P103(f326(x67971,x67973))+~P103(f326(f326(f240(a872),x67973),x67972))+P103(f326(f326(f328(a872),f382(x67971,x67972)),f297(a872,f2(a872),x67972)))
% 149.08/148.75 [6835]~P103(f326(x68351,x68353))+P103(f326(x68351,f387(x68351,x68352)))+~P103(f326(f326(f328(a872),x68353),f297(a872,f2(a872),x68352)))
% 149.08/148.75 [6854]~P108(x68543)+~P103(f326(f326(f240(x68543),f326(f105(x68543),x68541)),f326(f105(x68543),x68542)))+P103(f326(f326(f240(a872),x68541),x68542))
% 149.08/148.75 [6855]~P109(x68553)+~P103(f326(f326(f240(x68553),f326(f107(x68553),x68551)),f326(f107(x68553),x68552)))+P103(f326(f326(f240(a1),x68551),x68552))
% 149.08/148.75 [6857]~P108(x68573)+~P103(f326(f326(f241(x68573),f326(f105(x68573),x68571)),f326(f105(x68573),x68572)))+P103(f326(f326(f241(a872),x68571),x68572))
% 149.08/148.75 [6858]~P109(x68583)+~P103(f326(f326(f241(x68583),f326(f107(x68583),x68581)),f326(f107(x68583),x68582)))+P103(f326(f326(f241(a1),x68581),x68582))
% 149.08/148.75 [6875]~P108(x68751)+~P103(f326(f326(f241(x68751),f79(x68751)),x68752))+P103(f326(f326(f241(x68751),f79(x68751)),f326(f326(f251(x68751),x68752),f326(a117,x68753))))
% 149.08/148.75 [6877]~P78(x68771)+~P103(f326(f326(f240(x68771),f326(f80(x68771),x68773)),f326(f80(x68771),x68772)))+P103(f326(f326(f240(x68771),x68772),x68773))
% 149.08/148.75 [6878]~P86(x68781)+~P103(f326(f326(f240(x68781),f326(f80(x68781),x68783)),f326(f80(x68781),x68782)))+P103(f326(f326(f240(x68781),x68782),x68783))
% 149.08/148.75 [6879]~P78(x68791)+~P103(f326(f326(f241(x68791),f326(f80(x68791),x68793)),f326(f80(x68791),x68792)))+P103(f326(f326(f241(x68791),x68792),x68793))
% 149.08/148.75 [6905]P103(f326(x69051,x69052))+~P103(f326(x69051,f388(x69051,x69053)))+~P103(f326(f326(f328(a872),x69052),f297(a872,f2(a872),x69053)))
% 149.08/148.75 [6924]~P61(x69241)+P103(f326(f326(f241(x69241),f480(x69243,x69242,x69241)),f79(x69241)))+P103(f326(f326(f240(x69241),x69242),x69243))
% 149.08/148.75 [6943]~E(f45(a872,x69433,x69432),f45(a872,x69431,x69432))+E(f326(f326(f81(a872),x69431),f326(f326(f82(a872),x69432),f505(x69431,x69432,x69433))),x69433)+~P103(f326(f326(f240(a872),x69431),x69433))
% 149.08/148.75 [6962]E(f326(x69621,f360(x69621,x69622,x69623)),f193(x69622))+~P103(f326(f62(x69623),f180(x69623,x69622,x69621)))+P103(f326(f62(x69623),f249(f880(x69623,a866))))
% 149.08/148.75 [7003]E(f326(f326(f6(x70031,a872),x70032),x70033),f2(a872))+~P103(f326(f62(x70031),x70033))+P103(f326(f326(f328(x70031),f852(x70032,x70033,x70031)),x70033))
% 149.08/148.75 [7004]E(f326(f326(f9(x70041,a872),x70042),x70043),f79(a872))+~P103(f326(f62(x70041),x70043))+P103(f326(f326(f328(x70041),f445(x70042,x70043,x70041)),x70043))
% 149.08/148.75 [7026]~P105(x70261)+~P103(f326(f326(f240(x70261),x70262),x70263))+P103(f326(f326(f240(f880(x70261,a866)),f326(f247(x70261),x70262)),f326(f247(x70261),x70263)))
% 149.08/148.75 [7027]~P105(x70271)+~P103(f326(f326(f240(x70271),x70273),x70272))+P103(f326(f326(f240(f880(x70271,a866)),f326(f298(x70271),x70272)),f326(f298(x70271),x70273)))
% 149.08/148.75 [7028]~P107(x70281)+~P103(f326(f326(f240(x70281),x70283),x70282))+P103(f326(f326(f240(f880(x70281,a866)),f326(f248(x70281),x70282)),f326(f248(x70281),x70283)))
% 149.08/148.75 [7029]~P107(x70291)+~P103(f326(f326(f240(x70291),x70292),x70293))+P103(f326(f326(f240(f880(x70291,a866)),f326(f295(x70291),x70292)),f326(f295(x70291),x70293)))
% 149.08/148.75 [7030]~P105(x70301)+~P103(f326(f326(f241(x70301),x70302),x70303))+P103(f326(f326(f241(f880(x70301,a866)),f326(f247(x70301),x70302)),f326(f247(x70301),x70303)))
% 149.08/148.75 [7038]~P26(x70381)+P103(f326(f326(f240(x70381),x70382),f41(x70381,x70383)))+P103(f326(f326(f328(x70381),f351(x70383,x70382,x70381)),x70383))
% 149.08/148.75 [7044]~P78(x70441)+P103(f326(f326(f240(x70441),f326(f326(f22(x70441),x70442),x70443)),f2(x70441)))+~P103(f326(f326(f240(x70441),x70442),x70443))
% 149.08/148.75 [7045]~P78(x70451)+P103(f326(f326(f241(x70451),f326(f326(f22(x70451),x70452),x70453)),f2(x70451)))+~P103(f326(f326(f241(x70451),x70452),x70453))
% 149.08/148.75 [7087]P103(f326(x70871,x70872))+P103(f326(f326(f240(a872),f388(x70871,x70873)),x70873))+~P103(f326(f326(f328(a872),x70872),f297(a872,f2(a872),x70873)))
% 149.08/148.75 [7127]~E(f326(f326(f6(x71271,a872),x71272),x71273),f79(a872))+~P103(f326(f62(x71271),x71273))+P103(f326(f326(f328(x71271),f851(x71272,x71273,x71271)),x71273))
% 149.08/148.75 [7128]~P103(f326(x71281,x71283))+P103(f326(f326(f240(a872),f387(x71281,x71282)),x71282))+~P103(f326(f326(f328(a872),x71283),f297(a872,f2(a872),x71282)))
% 149.08/148.75 [7168]~P26(x71681)+P103(f326(f326(f328(x71681),f819(x71683,x71682,x71681)),x71682))+P103(f326(f326(f240(x71681),f40(x71681,x71682)),x71683))
% 149.08/148.75 [7199]~E(f326(f326(f6(x71991,a872),x71992),x71993),f326(a117,f2(a872)))+~P103(f326(f62(x71991),x71993))+P103(f326(f326(f328(x71991),f853(x71992,x71993,x71991)),x71993))
% 149.08/148.75 [7210]E(x72101,f2(a872))+P103(f326(x72102,f45(a872,x72103,x72101)))+P103(f326(f326(f241(a872),f501(x72101,x72103,x72102)),x72101))
% 149.08/148.75 [7315]~P103(f326(x73151,x73152))+P103(f326(x73151,f45(a872,x73152,x73153)))+P103(f326(f326(f241(a872),f501(x73153,x73152,x73151)),x73153))
% 149.08/148.75 [7438]E(x74381,f118(x74382))+~P103(f326(f326(f328(f873(x74382)),x74381),f157(x74382,x74383)))+P103(f326(f326(f328(x74382),f712(x74383,x74381,x74382)),x74383))
% 149.08/148.75 [7460]~P105(x74601)+E(f326(f326(f115(f880(x74601,a866)),f326(f326(f304(x74601),x74602),f190(f880(x74601,a866)))),f300(x74601,x74602,x74603)),f326(f296(x74601,x74602),x74603))+~P103(f326(f326(f241(x74601),x74602),x74603))
% 149.08/148.75 [7486]~P105(x74861)+E(f326(f326(f115(f880(x74861,a866)),f326(f326(f304(x74861),x74862),f190(f880(x74861,a866)))),f299(x74861,x74862,x74863)),f297(x74861,x74862,x74863))+~P103(f326(f326(f240(x74861),x74862),x74863))
% 149.08/148.75 [7592]~P105(x75921)+P103(f326(f326(f240(x75921),x75922),x75923))+~P103(f326(f326(f240(f880(x75921,a866)),f326(f298(x75921),x75923)),f326(f298(x75921),x75922)))
% 149.08/148.75 [7593]~P107(x75931)+P103(f326(f326(f240(x75931),x75932),x75933))+~P103(f326(f326(f240(f880(x75931,a866)),f326(f248(x75931),x75933)),f326(f248(x75931),x75932)))
% 149.08/148.75 [7594]~P105(x75941)+P103(f326(f326(f240(x75941),x75942),x75943))+~P103(f326(f326(f240(f880(x75941,a866)),f326(f247(x75941),x75942)),f326(f247(x75941),x75943)))
% 149.08/148.75 [7595]~P107(x75951)+P103(f326(f326(f240(x75951),x75952),x75953))+~P103(f326(f326(f240(f880(x75951,a866)),f326(f295(x75951),x75952)),f326(f295(x75951),x75953)))
% 149.08/148.75 [7596]~P105(x75961)+P103(f326(f326(f241(x75961),x75962),x75963))+~P103(f326(f326(f241(f880(x75961,a866)),f326(f247(x75961),x75962)),f326(f247(x75961),x75963)))
% 149.08/148.75 [7619]~P78(x76191)+~P103(f326(f326(f240(x76191),f326(f326(f22(x76191),x76192),x76193)),f2(x76191)))+P103(f326(f326(f240(x76191),x76192),x76193))
% 149.08/148.75 [7620]~P78(x76201)+~P103(f326(f326(f241(x76201),f326(f326(f22(x76201),x76202),x76203)),f2(x76201)))+P103(f326(f326(f241(x76201),x76202),x76203))
% 149.08/148.75 [7776]E(x77761,f2(a872))+~E(f326(f138(a872,a872,f81(a872),x77762),x77763),f2(a872))+~P103(f326(f326(f328(a872),x77761),f326(f168(a872),x77763)))
% 149.08/148.75 [7780]~P26(x77801)+~P103(f326(f326(f240(x77801),f819(x77803,x77802,x77801)),x77803))+P103(f326(f326(f240(x77801),f40(x77801,x77802)),x77803))
% 149.08/148.75 [7934]P103(f326(f326(f240(a1),f2(a1)),f492(x79341,x79342,x79343)))+P103(f326(f326(x79342,f326(f326(f39(a1),x79341),x79343)),f45(a1,x79341,x79343)))+~P103(f326(f326(f241(a1),f2(a1)),x79343))
% 149.08/148.75 [8028]E(x80281,x80282)+~E(f326(f191(f873(x80283)),x80281),f326(f191(f873(x80283)),x80282))+~P103(f326(f326(f265(x80283,x80283,a866),a323),f675(x80283,x80281,x80282)))
% 149.08/148.75 [8096]~P37(x80962,x80963)+E(x80961,f190(f880(x80962,a866)))+~P103(f326(f326(f240(f880(x80962,a866)),x80961),f326(f280(x80962,x80962,x80963),x80961)))
% 149.08/148.75 [8166]P47(x81661,x81662,x81663)+P103(f326(f326(f328(x81661),f593(x81663,x81662,x81661)),x81662))+P103(f326(f326(f328(f879(x81661,x81661)),f594(x81663,x81662,x81661)),x81663))
% 149.08/148.75 [8189]P103(f326(f326(x81892,f326(f326(f39(a1),x81891),x81893)),f45(a1,x81891,x81893)))+~P103(f326(f326(f241(a1),f2(a1)),x81893))+P103(f326(f326(f241(a1),f492(x81891,x81892,x81893)),x81893))
% 149.08/148.75 [8213]E(f326(f305(a872,a872,f326(f326(f7(a872,a872,a872),f22(a872)),x82131)),f326(f296(a872,x82132),x82133)),f190(f880(a872,a866)))+P103(f326(f326(f241(a872),x82131),x82133))+P103(f326(f326(f241(a872),x82132),x82133))
% 149.08/148.75 [8319]E(f326(f305(a872,a872,f326(f326(f7(a872,a872,a872),f22(a872)),x83191)),f326(f296(a872,x83192),x83193)),f326(f326(f304(a872),f2(a872)),f190(f880(a872,a866))))+P103(f326(f326(f241(a872),x83191),x83193))+~P103(f326(f326(f241(a872),x83192),x83193))
% 149.08/148.75 [8336]~P105(x83361)+E(f145(x83361,x83361,f5(x83361),x83362,x83363),x83363)+~P103(f326(f326(f328(x83361),x83362),f326(f168(x83361),x83363)))
% 149.08/148.75 [8351]P21(x83511,x83511,x83512,x83513)+~P103(f326(f62(x83511),x83513))+~P103(f326(f326(f240(f880(x83511,a866)),x83513),f326(f305(x83511,x83511,x83512),x83513)))
% 149.08/148.75 [8374]E(f326(f326(f81(a1),f326(f326(f82(a1),x83741),f493(x83742,x83743,x83741))),f492(x83742,x83743,x83741)),x83742)+P103(f326(f326(x83743,f326(f326(f39(a1),x83742),x83741)),f45(a1,x83742,x83741)))+~P103(f326(f326(f241(a1),f2(a1)),x83741))
% 149.08/148.75 [8616]~P103(f326(f326(x86161,f493(x86162,x86161,x86163)),f492(x86162,x86161,x86163)))+P103(f326(f326(x86161,f326(f326(f39(a1),x86162),x86163)),f45(a1,x86162,x86163)))+~P103(f326(f326(f241(a1),f2(a1)),x86163))
% 149.08/148.75 [9481]~P103(f326(f62(x94811),x94812))+~P103(f326(f326(f328(x94811),x94813),x94812))+P103(f326(f326(f241(a872),f326(f38(x94811),f326(f326(f22(f880(x94811,a866)),x94812),f326(f326(f304(x94811),x94813),f190(f880(x94811,a866)))))),f326(f38(x94811),x94812)))
% 149.08/148.75 [10078]P47(x100781,x100782,x100783)+~P103(f326(f326(f265(x100781,x100781,a866),f326(f326(f7(x100781,f880(x100781,a866),f880(x100781,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x100781,a866),f880(x100781,a866)),x100781),f8(a866,a866,x100781)),f326(f326(f8(a866,f880(a866,a866),x100781),a324),f326(f326(f7(x100781,f880(x100781,a866),a866),f328(x100781)),x100782)))),f326(f326(f7(x100781,f880(x100781,a866),a866),f328(x100781)),x100782))),f594(x100783,x100782,x100781)))+P103(f326(f326(f328(x100781),f593(x100783,x100782,x100781)),x100782))
% 149.08/148.75 [5463]~P118(x54632)+E(x54631,f2(x54632))+E(f326(f326(f284(x54632),x54633),f326(f80(x54632),x54631)),f326(f80(x54632),f326(f326(f284(x54632),x54633),x54631)))
% 149.08/148.75 [5595]~E(x55953,f190(f880(x55951,a866)))+~E(x55952,f190(f880(x55951,a866)))+E(f326(f326(f115(f880(x55951,a866)),x55952),x55953),f190(f880(x55951,a866)))
% 149.08/148.75 [5653]~E(x56533,f2(a872))+~P103(f326(x56531,f2(a872)))+P103(f326(x56531,f326(f326(f39(a872),x56532),x56533)))
% 149.08/148.75 [5794]~P62(x57942)+E(x57941,f2(x57942))+E(f326(f326(f284(x57942),f326(f76(x57942),x57943)),f326(f76(x57942),x57941)),f326(f76(x57942),f326(f326(f284(x57942),x57943),x57941)))
% 149.08/148.75 [5962]~P103(f326(f62(x59621),x59623))+E(f326(f38(x59621),f326(f326(f304(x59621),x59622),x59623)),f326(a117,f326(f38(x59621),x59623)))+P103(f326(f326(f328(x59621),x59622),x59623))
% 149.08/148.75 [6036]~E(x60362,f2(a872))+P103(f326(x60361,f2(a872)))+~P103(f326(x60361,f326(f326(f39(a872),x60363),x60362)))
% 149.08/148.75 [6055]~P103(f326(f62(x60551),x60553))+E(f326(f38(x60551),f326(f326(f304(x60551),x60552),x60553)),f326(f38(x60551),x60553))+~P103(f326(f326(f328(x60551),x60552),x60553))
% 149.08/148.75 [6089]~P103(f326(f62(x60891),x60893))+E(f326(f38(x60891),f326(f326(f304(x60891),x60892),x60893)),f326(f326(f81(a872),f79(a872)),f326(f38(x60891),x60893)))+P103(f326(f326(f328(x60891),x60892),x60893))
% 149.08/148.75 [6208]E(f326(f326(f81(a872),x62081),f854(x62081,x62082,x62083)),x62082)+~P103(f326(x62083,f2(a872)))+P103(f326(x62083,f326(f326(f22(a872),x62082),x62081)))
% 149.08/148.75 [6209]E(f326(f326(f81(a872),x62091),f855(x62091,x62092,x62093)),x62092)+~P103(f326(x62093,f2(a872)))+P103(f326(x62093,f326(f326(f22(a872),x62092),x62091)))
% 149.08/148.75 [6256]~P26(x62561)+~P103(f326(f62(x62561),x62563))+E(f326(f326(f65(x62561,x62561,f115(x62561)),x62562),x62563),f326(f326(f115(x62561),x62562),f40(x62561,x62563)))
% 149.08/148.75 [6257]~P26(x62571)+~P103(f326(f62(x62571),x62573))+E(f326(f326(f65(x62571,x62571,f106(x62571)),x62572),x62573),f326(f326(f106(x62571),x62572),f41(x62571,x62573)))
% 149.08/148.75 [6263]~P93(x62631)+~E(f326(f108(x62631),x62632),f326(f108(x62631),x62633))+P30(x62631,f326(f108(x62631),f326(f326(f81(a1),x62632),f326(f80(a1),x62633))))
% 149.08/148.75 [6270]~P138(x62701)+E(f326(f326(f22(x62701),f326(f105(x62701),x62702)),f326(f105(x62701),x62703)),f326(f105(x62701),f326(f326(f22(a872),x62702),x62703)))+~P103(f326(f326(f240(a872),x62703),x62702))
% 149.08/148.75 [6357]E(f326(f326(f81(a872),x63571),f854(x63571,x63572,x63573)),x63572)+P103(f326(f326(f241(a872),x63572),x63571))+P103(f326(x63573,f326(f326(f22(a872),x63572),x63571)))
% 149.08/148.75 [6358]E(f326(f326(f81(a872),x63581),f855(x63581,x63582,x63583)),x63582)+P103(f326(f326(f241(a872),x63582),x63581))+P103(f326(x63583,f326(f326(f22(a872),x63582),x63581)))
% 149.08/148.75 [6373]~P109(x63731)+E(f326(f326(f82(x63731),f326(f76(x63731),x63732)),x63733),f326(f76(x63731),f326(f326(f82(x63731),x63732),x63733)))+~P103(f326(f326(f240(x63731),f2(x63731)),x63733))
% 149.08/148.75 [6374]~P61(x63741)+E(f326(f326(f284(x63741),f326(f76(x63741),x63742)),x63743),f326(f76(x63741),f326(f326(f284(x63741),x63742),x63743)))+~P103(f326(f326(f241(x63741),f2(x63741)),x63743))
% 149.08/148.75 [6382]~P76(x63821)+~P103(f326(f62(x63821),x63823))+E(f326(f326(f65(x63821,x63821,f115(x63821)),x63822),x63823),f10(x63821,f326(f326(f304(x63821),x63822),x63823)))
% 149.08/148.75 [6383]~P76(x63831)+~P103(f326(f62(x63831),x63833))+E(f326(f326(f65(x63831,x63831,f106(x63831)),x63832),x63833),f11(x63831,f326(f326(f304(x63831),x63832),x63833)))
% 149.08/148.75 [6384]~P105(x63841)+~P103(f326(f62(x63841),x63843))+E(f326(f326(f65(x63841,x63841,f238(x63841)),x63842),x63843),f14(x63841,f326(f326(f304(x63841),x63842),x63843)))
% 149.08/148.75 [6385]~P105(x63851)+~P103(f326(f62(x63851),x63853))+E(f326(f326(f65(x63851,x63851,f239(x63851)),x63852),x63853),f15(x63851,f326(f326(f304(x63851),x63852),x63853)))
% 149.08/148.75 [6430]E(x64301,f118(x64302))+~E(f176(x64302,x64303),f118(f873(x64302)))+~P103(f326(f326(f328(f873(x64302)),x64301),f326(f168(f873(x64302)),x64303)))
% 149.08/148.75 [6472]~P103(f326(f133(x64721),x64723))+P103(f326(f326(f328(x64721),x64722),f326(f168(x64721),x64723)))+P103(f326(f133(x64721),f326(f326(f147(x64721),x64722),x64723)))
% 149.08/148.75 [6483]~P96(x64831)+~P103(f326(f62(x64831),x64833))+E(f326(f64(x64831,f82(x64831)),f326(f326(f304(x64831),x64832),x64833)),f326(f326(f65(x64831,x64831,f82(x64831)),x64832),x64833))
% 149.08/148.75 [6505]~P105(x65051)+~P103(f326(f62(x65051),x65053))+E(f12(x65051,f239(x65051),f326(f326(f304(x65051),x65052),x65053)),f326(f326(f65(x65051,x65051,f239(x65051)),x65052),x65053))
% 149.08/148.75 [6506]~P105(x65061)+~P103(f326(f62(x65061),x65063))+E(f13(x65061,f238(x65061),f326(f326(f304(x65061),x65062),x65063)),f326(f326(f65(x65061,x65061,f238(x65061)),x65062),x65063))
% 149.08/148.75 [6508]P103(f326(x65081,f2(a872)))+~P103(f326(f326(f241(a872),x65082),x65083))+~P103(f326(x65081,f326(f326(f22(a872),x65082),x65083)))
% 149.08/148.75 [6527]~P84(x65271)+P103(f326(f326(f240(x65271),x65272),x65273))+~P103(f326(f326(f240(x65271),f326(f76(x65271),x65272)),x65273))
% 149.08/148.75 [6528]~P109(x65281)+P103(f326(f326(f241(x65281),x65282),x65283))+~P103(f326(f326(f241(x65281),f326(f76(x65281),x65282)),x65283))
% 149.08/148.75 [6545]E(x65451,f118(x65452))+E(f326(f137(x65452),f326(f326(f134(x65452),x65453),x65451)),f326(f326(f161(x65452),x65451),x65453))+~P103(f326(f326(f241(a872),x65453),f326(f191(f873(x65452)),x65451)))
% 149.08/148.75 [6597]~P103(f326(x65971,x65973))+P103(f326(x65971,f389(x65971,x65972)))+~P103(f326(f326(f328(a872),x65973),f326(f296(a872,f2(a872)),x65972)))
% 149.08/148.75 [6619]P103(f326(x66191,x66192))+~P103(f326(f326(f241(a872),x66192),x66193))+P103(f326(f326(f328(a872),f392(x66191,x66193)),f326(f296(a872,f2(a872)),x66193)))
% 149.08/148.75 [6634]~P108(x66341)+~P103(f326(f326(f240(x66341),f79(x66341)),x66342))+P103(f326(f326(f240(x66341),f79(x66341)),f326(f326(f251(x66341),x66342),x66343)))
% 149.08/148.75 [6636]~P108(x66361)+~P103(f326(f326(f240(x66361),f2(x66361)),x66362))+P103(f326(f326(f240(x66361),f2(x66361)),f326(f326(f251(x66361),x66362),x66363)))
% 149.08/148.75 [6638]~P108(x66381)+~P103(f326(f326(f241(x66381),f2(x66381)),x66382))+P103(f326(f326(f241(x66381),f2(x66381)),f326(f326(f251(x66381),x66382),x66383)))
% 149.08/148.75 [6662]~P103(f326(x66621,x66623))+~P103(f326(f326(f241(a872),x66623),x66622))+P103(f326(f326(f328(a872),f385(x66621,x66622)),f326(f296(a872,f2(a872)),x66622)))
% 149.08/148.75 [6669]P103(f326(f62(x66691),x66692))+~P103(f326(f62(x66691),x66693))+~P103(f326(f326(f240(f880(x66691,a866)),x66692),x66693))
% 149.08/148.75 [6677]P103(f326(x66771,x66772))+~P103(f326(x66771,f390(x66771,x66773)))+~P103(f326(f326(f328(a872),x66772),f326(f296(a872,f2(a872)),x66773)))
% 149.08/148.75 [6688]E(x66881,f2(a872))+P103(f326(x66882,f495(x66881,x66883,x66882)))+~P103(f326(x66882,f326(f326(f39(a872),x66883),x66881)))
% 149.08/148.75 [6696]~P122(x66962)+E(x66961,f2(x66962))+~E(f326(f326(f81(x66962),f326(f326(f82(x66962),x66963),x66963)),f326(f326(f82(x66962),x66961),x66961)),f2(x66962))
% 149.08/148.75 [6697]~P122(x66972)+E(x66971,f2(x66972))+~E(f326(f326(f81(x66972),f326(f326(f82(x66972),x66971),x66971)),f326(f326(f82(x66972),x66973),x66973)),f2(x66972))
% 149.08/148.75 [6742]E(x67421,f2(a872))+~P103(f326(x67422,f496(x67421,x67423,x67422)))+P103(f326(x67422,f326(f326(f39(a872),x67423),x67421)))
% 149.08/148.75 [6747]~P105(x67471)+~P28(x67471,x67473)+P28(x67471,f326(f326(f144(x67471,x67471,f5(x67471)),x67472),x67473))
% 149.08/148.75 [6790]P103(f326(x67901,f495(x67902,x67903,x67901)))+P103(f326(x67901,f2(a872)))+~P103(f326(x67901,f326(f326(f39(a872),x67903),x67902)))
% 149.08/148.75 [6796]~P93(x67961)+E(f326(f108(x67961),x67962),f326(f108(x67961),x67963))+~P30(x67961,f326(f108(x67961),f326(f326(f81(a1),x67962),f326(f80(a1),x67963))))
% 149.08/148.75 [6861]E(x68611,f2(a1))+E(x68612,f2(a1))+~P103(f326(f49(x68612,x68612),f326(f326(f261(a1,a1),x68613),x68611)))
% 149.08/148.75 [6862]E(x68621,f79(a1))+E(x68622,f2(a1))+~P103(f326(f49(x68622,x68622),f326(f326(f261(a1,a1),x68621),x68623)))
% 149.08/148.75 [6876]P103(f326(x68761,x68762))+P103(f326(f326(f241(a872),f390(x68761,x68763)),x68763))+~P103(f326(f326(f328(a872),x68762),f326(f296(a872,f2(a872)),x68763)))
% 149.08/148.75 [6900]~P103(f326(x69001,f854(x69003,x69002,x69001)))+~P103(f326(x69001,f2(a872)))+P103(f326(x69001,f326(f326(f22(a872),x69002),x69003)))
% 149.08/148.75 [6901]~P103(f326(x69011,f855(x69013,x69012,x69011)))+~P103(f326(x69011,f2(a872)))+P103(f326(x69011,f326(f326(f22(a872),x69012),x69013)))
% 149.08/148.75 [6902]~P103(f326(x69021,f496(x69023,x69022,x69021)))+~P103(f326(x69021,f2(a872)))+P103(f326(x69021,f326(f326(f39(a872),x69022),x69023)))
% 149.08/148.75 [6920]~P103(f326(x69201,x69203))+P103(f326(f326(f241(a872),f389(x69201,x69202)),x69202))+~P103(f326(f326(f328(a872),x69203),f326(f296(a872,f2(a872)),x69202)))
% 149.08/148.75 [6921]E(f326(f326(f22(a872),f326(f326(f22(a872),x69211),x69212)),f326(f326(f22(a872),x69213),x69212)),f326(f326(f22(a872),x69211),x69213))+~P103(f326(f326(f240(a872),x69212),x69211))+~P103(f326(f326(f240(a872),x69212),x69213))
% 149.08/148.75 [6956]~P78(x69561)+~P103(f326(f326(f240(x69561),f326(f80(x69561),x69563)),x69562))+P103(f326(f326(f240(x69561),f326(f80(x69561),x69562)),x69563))
% 149.08/148.75 [6958]~P84(x69581)+~P103(f326(f326(f240(x69581),f326(f76(x69581),x69582)),x69583))+P103(f326(f326(f240(x69581),f326(f80(x69581),x69582)),x69583))
% 149.08/148.75 [6960]~P78(x69601)+~P103(f326(f326(f241(x69601),f326(f80(x69601),x69603)),x69602))+P103(f326(f326(f241(x69601),f326(f80(x69601),x69602)),x69603))
% 149.08/148.75 [6961]~P109(x69611)+~P103(f326(f326(f241(x69611),f326(f76(x69611),x69612)),x69613))+P103(f326(f326(f241(x69611),f326(f80(x69611),x69612)),x69613))
% 149.08/148.75 [6997]~P103(f326(x69973,f854(x69972,x69971,x69973)))+P103(f326(f326(f241(a872),x69971),x69972))+P103(f326(x69973,f326(f326(f22(a872),x69971),x69972)))
% 149.08/148.75 [6998]~P103(f326(x69983,f855(x69982,x69981,x69983)))+P103(f326(f326(f241(a872),x69981),x69982))+P103(f326(x69983,f326(f326(f22(a872),x69981),x69982)))
% 149.08/148.75 [7048]~E(f846(x70483,x70482,x70481),f847(x70483,x70482,x70481))+E(f326(f326(f106(f880(x70481,a866)),x70482),f40(f880(x70481,a866),x70483)),f190(f880(x70481,a866)))+P103(f326(f326(f328(f880(x70481,a866)),x70482),x70483))
% 149.08/148.75 [7057]~P103(f326(f62(x70571),x70573))+P103(f326(f62(x70571),f41(f880(x70571,a866),x70572)))+~P103(f326(f326(f328(f880(x70571,a866)),x70573),x70572))
% 149.08/148.75 [7116]~P105(x71161)+E(f326(f326(f115(f880(x71161,a866)),f326(f296(x71161,x71162),x71163)),f326(f326(f304(x71161),x71163),f190(f880(x71161,a866)))),f297(x71161,x71162,x71163))+~P103(f326(f326(f240(x71161),x71162),x71163))
% 149.08/148.75 [7117]E(x71171,f2(a872))+P103(f326(f326(f241(a872),f497(x71171,x71173,x71172)),x71171))+P103(f326(x71172,f326(f326(f39(a872),x71173),x71171)))
% 149.08/148.75 [7152]E(x71521,x71522)+~P103(f326(f326(f240(f880(x71523,a866)),x71521),x71522))+P103(f326(f326(f241(f880(x71523,a866)),x71521),x71522))
% 149.08/148.75 [7165]E(x71651,x71652)+~E(f326(f191(f873(x71653)),x71651),f326(f191(f873(x71653)),x71652))+P103(f326(f326(f241(a872),f686(x71653,x71651,x71652)),f326(f191(f873(x71653)),x71652)))
% 149.08/148.75 [7211]P3(x72111,x72112,x72113)+~E(f326(f259(x72111,x72111),x72113),x72112)+~E(f326(f326(f283(x72111,x72111,x72111),f326(f281(x72111,x72111),x72113)),x72113),x72113)
% 149.08/148.75 [7283]~P103(f326(x72831,f2(a872)))+P103(f326(f326(f241(a872),f497(x72833,x72832,x72831)),x72833))+P103(f326(x72831,f326(f326(f39(a872),x72832),x72833)))
% 149.08/148.75 [7292]~P105(x72921)+E(f326(f326(f115(f880(x72921,a866)),f300(x72921,x72922,x72923)),f326(f326(f304(x72921),x72923),f190(f880(x72921,a866)))),f299(x72921,x72922,x72923))+~P103(f326(f326(f241(x72921),x72922),x72923))
% 149.08/148.75 [7392]~P103(f326(f62(x73921),x73923))+P103(f326(f326(f240(a872),f326(f38(x73921),x73922)),f326(f38(x73921),x73923)))+~P103(f326(f326(f240(f880(x73921,a866)),x73922),x73923))
% 149.08/148.75 [7393]~P103(f326(f62(x73931),x73933))+P103(f326(f326(f241(a872),f326(f38(x73931),x73932)),f326(f38(x73931),x73933)))+~P103(f326(f326(f241(f880(x73931,a866)),x73932),x73933))
% 149.08/148.75 [7431]~P103(f326(x74313,x74312))+P103(f326(f326(f197(x74311),x74312),f830(x74312,x74311,x74313)))+~P103(f326(f326(f197(f33(x74313,x74311)),x74312),x74312))
% 149.08/148.75 [7530]E(x75301,x75302)+~P103(f326(f326(f240(f880(x75303,a866)),x75302),x75301))+~P103(f326(f326(f240(f880(x75303,a866)),x75301),x75302))
% 149.08/148.75 [7533]~P105(x75331)+P28(x75331,x75332)+~P28(x75331,f326(f326(f144(x75331,x75331,f5(x75331)),x75333),x75332))
% 149.08/148.75 [7601]~P103(f326(f326(f241(a872),x76013),x76012))+~P103(f326(f326(f241(a872),x76013),x76011))+P103(f326(f326(f241(a872),f326(f326(f22(a872),x76011),x76012)),f326(f326(f22(a872),x76011),x76013)))
% 149.08/148.75 [7602]~P103(f326(f326(f240(a872),x76022),x76021))+~P103(f326(f326(f241(a872),x76021),x76023))+P103(f326(f326(f241(a872),f326(f326(f22(a872),x76021),x76022)),f326(f326(f22(a872),x76023),x76022)))
% 149.08/148.75 [7617]~P103(f326(f326(f241(a1),x76172),f2(a1)))+~P103(f326(f326(f240(a1),x76173),x76171))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x76171),x76172)),f326(f326(f39(a1),x76173),x76172)))
% 149.08/148.75 [7635]~P103(f326(f326(f241(a872),f2(a872)),x76353))+~P103(f326(f326(f240(a872),x76353),x76352))+P103(f326(f326(f240(a872),f326(f326(f39(a872),x76351),x76352)),f326(f326(f39(a872),x76351),x76353)))
% 149.08/148.75 [7636]~P103(f326(f326(f241(a1),f2(a1)),x76362))+~P103(f326(f326(f240(a1),x76361),x76363))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x76361),x76362)),f326(f326(f39(a1),x76363),x76362)))
% 149.08/148.75 [7640]~P103(f326(f326(f241(a872),f2(a872)),x76402))+~P103(f326(f326(f241(a872),x76401),x76403))+P103(f326(f326(f241(a872),f326(f326(f82(a872),x76401),x76402)),f326(f326(f82(a872),x76403),x76402)))
% 149.08/148.75 [7641]~P103(f326(f326(f241(a872),f2(a872)),x76411))+~P103(f326(f326(f241(a872),x76412),x76413))+P103(f326(f326(f241(a872),f326(f326(f82(a872),x76411),x76412)),f326(f326(f82(a872),x76411),x76413)))
% 149.08/148.75 [7642]~P103(f326(f326(f241(a1),f2(a1)),x76421))+~P103(f326(f326(f241(a1),x76422),x76423))+P103(f326(f326(f241(a1),f326(f326(f82(a1),x76421),x76422)),f326(f326(f82(a1),x76421),x76423)))
% 149.08/148.75 [7691]E(x76911,f2(a872))+E(f326(f326(f81(a872),f326(f326(f82(a872),x76911),f496(x76911,x76912,x76913))),f497(x76911,x76912,x76913)),x76912)+P103(f326(x76913,f326(f326(f39(a872),x76912),x76911)))
% 149.08/148.75 [7750]E(f326(f326(f81(a872),f326(f326(f82(a872),x77501),f496(x77501,x77502,x77503))),f497(x77501,x77502,x77503)),x77502)+~P103(f326(x77503,f2(a872)))+P103(f326(x77503,f326(f326(f39(a872),x77502),x77501)))
% 149.08/148.75 [7767]~P103(f326(f62(x77671),x77673))+P103(f326(f326(f328(x77671),f481(x77672,x77673,x77671)),x77673))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f9(x77671,a872),x77672),x77673)))
% 149.08/148.75 [7768]~P103(f326(f62(x77681),x77683))+P103(f326(f326(f328(x77681),f498(x77682,x77683,x77681)),x77683))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f9(x77681,a872),x77682),x77683)))
% 149.08/148.75 [8061]E(x80611,f190(f880(x80612,a866)))+E(x80611,f326(f326(f304(x80612),x80613),f190(f880(x80612,a866))))+~P103(f326(f326(f240(f880(x80612,a866)),x80611),f326(f326(f304(x80612),x80613),f190(f880(x80612,a866)))))
% 149.08/148.75 [8079]~P58(x80791)+P8(x80791,x80792,x80793)+P103(f326(f326(f328(f873(x80791)),f746(x80793,x80792,x80791)),f326(f168(f873(x80791)),f55(x80791,x80793,f56(x80791)))))
% 149.08/148.75 [8098]~P103(f326(f326(f241(a872),f2(a872)),x80983))+P103(f326(f326(f240(a872),x80981),x80982))+~P103(f326(f326(f240(a872),f326(f326(f82(a872),x80983),x80981)),f326(f326(f82(a872),x80983),x80982)))
% 149.08/148.75 [8099]~P103(f326(f326(f241(a872),f2(a872)),x80993))+P103(f326(f326(f240(a872),x80991),x80992))+~P103(f326(f326(f240(a872),f326(f326(f82(a872),x80991),x80993)),f326(f326(f82(a872),x80992),x80993)))
% 149.08/148.75 [8101]~P103(f326(f326(f241(a872),f2(a872)),x81013))+P103(f326(f326(f241(a872),x81011),x81012))+~P103(f326(f326(f241(a872),f326(f326(f251(a872),x81013),x81011)),f326(f326(f251(a872),x81013),x81012)))
% 149.08/148.75 [8127]~P58(x81271)+~P7(x81271,x81273,x81272)+P103(f326(f326(f328(f873(x81271)),f745(x81272,x81273,x81271)),f326(f168(f873(x81271)),f55(x81271,x81272,f56(x81271)))))
% 149.08/148.75 [8135]~P103(f326(x81351,x81353))+P103(f326(f326(f197(f33(x81351,x81352)),f830(x81353,x81352,x81351)),x81353))+~P103(f326(f326(f197(f33(x81351,x81352)),x81353),x81353))
% 149.08/148.75 [8144]~E(f326(f326(f106(f880(x81441,a866)),f847(x81443,x81442,x81441)),f846(x81443,x81442,x81441)),f190(f880(x81441,a866)))+E(f326(f326(f106(f880(x81441,a866)),x81442),f40(f880(x81441,a866),x81443)),f190(f880(x81441,a866)))+P103(f326(f326(f328(f880(x81441,a866)),x81442),x81443))
% 149.08/148.75 [8161]E(x81611,f118(x81612))+~E(f326(f138(f873(x81612),f873(x81612),f126(x81612),f118(x81612)),x81613),f118(x81612))+~P103(f326(f326(f328(f873(x81612)),x81611),f326(f168(f873(x81612)),x81613)))
% 149.08/148.75 [8218]E(x82181,f190(f880(f880(x82182,a866),a866)))+P103(f326(f326(f328(f880(x82182,a866)),f368(x82183,x82181,x82182)),x82181))+P103(f326(f326(f240(f880(x82182,a866)),f41(f880(x82182,a866),x82181)),x82183))
% 149.08/148.75 [8225]~P72(x82251)+~P73(x82251)+E(f326(f326(f6(a1,x82251),f326(f326(f8(a872,x82251,a1),x82252),a109)),f326(f305(a872,a1,f105(a1)),x82253)),f326(f326(f6(a872,x82251),x82252),x82253))
% 149.08/148.75 [8226]~P72(x82261)+~P73(x82261)+E(f326(f326(f9(a1,x82261),f326(f326(f8(a872,x82261,a1),x82262),a109)),f326(f305(a872,a1,f105(a1)),x82263)),f326(f326(f9(a872,x82261),x82262),x82263))
% 149.08/148.75 [8265]~P103(f326(f62(x82651),x82653))+~P103(f326(f326(f241(a872),f2(a872)),f326(x82652,f481(x82652,x82653,x82651))))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f9(x82651,a872),x82652),x82653)))
% 149.08/148.75 [8266]~P103(f326(f62(x82661),x82663))+~P103(f326(f326(f241(a872),f2(a872)),f326(x82662,f498(x82662,x82663,x82661))))+P103(f326(f326(f241(a872),f2(a872)),f326(f326(f9(x82661,a872),x82662),x82663)))
% 149.08/148.75 [8301]~P60(x83012)+E(x83011,f79(x83012))+E(f326(f326(f284(x83012),f326(f326(f22(x83012),f326(f326(f251(x83012),x83011),x83013)),f79(x83012))),f326(f326(f22(x83012),x83011),f79(x83012))),f326(f326(f6(a872,x83012),f326(f251(x83012),x83011)),f326(f296(a872,f2(a872)),x83013)))
% 149.08/148.75 [8360]E(x83601,f2(a872))+~P103(f326(x83603,f326(f326(f39(a872),x83602),x83601)))+P103(f326(f326(f241(a872),x83602),f326(f326(f82(a872),x83601),f326(a117,f495(x83601,x83602,x83603)))))
% 149.08/148.75 [8379]P103(f326(x83791,f2(a872)))+~P103(f326(x83791,f326(f326(f39(a872),x83792),x83793)))+P103(f326(f326(f241(a872),x83792),f326(f326(f82(a872),x83793),f326(a117,f495(x83793,x83792,x83791)))))
% 149.08/148.75 [8419]E(x84191,f2(a872))+~P103(f326(x84193,f326(f326(f39(a872),x84192),x84191)))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x84191),f495(x84191,x84192,x84193))),x84192))
% 149.08/148.75 [8460]P103(f326(x84601,f2(a872)))+~P103(f326(x84601,f326(f326(f39(a872),x84603),x84602)))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x84602),f495(x84602,x84603,x84601))),x84603))
% 149.08/148.75 [8463]~P105(x84631)+E(f326(f326(f144(x84631,x84631,f5(x84631)),x84632),x84633),f145(x84631,x84631,f5(x84631),x84632,x84633))+P103(f326(f326(f328(x84631),x84632),f326(f168(x84631),x84633)))
% 149.08/148.75 [8501]~E(f326(x85013,f610(x85012,x85013,x85011)),f326(x85013,f612(x85012,x85013,x85011)))+~P55(x85011,f326(x85013,f611(x85012,x85013,x85011)))+P55(x85011,f326(f326(f42(x85012,f880(x85011,f880(x85011,a866))),f249(f880(x85012,a866))),x85013))
% 149.08/148.75 [8509]E(x85091,f190(f880(f880(x85092,a866),a866)))+~P103(f326(f326(f240(f880(x85092,a866)),f368(x85093,x85091,x85092)),x85093))+P103(f326(f326(f240(f880(x85092,a866)),f41(f880(x85092,a866),x85091)),x85093))
% 149.08/148.75 [8567]~P62(x85671)+~P103(f326(f326(f241(x85671),x85672),x85673))+P103(f326(f326(f241(x85671),x85672),f326(f326(f284(x85671),f326(f326(f81(x85671),x85672),x85673)),f326(f326(f81(x85671),f79(x85671)),f79(x85671)))))
% 149.08/148.75 [8622]~P103(f326(f326(x86221,f520(x86221,x86223,x86222)),f522(x86221,x86223,x86222)))+P103(f326(f326(x86221,x86222),x86223))+~P103(f326(f314(f879(a1,a1),a52),f326(f326(f261(a1,a1),x86222),x86223)))
% 149.08/148.75 [8623]~P103(f326(f326(x86231,f523(x86231,x86233,x86232)),f524(x86231,x86233,x86232)))+P103(f326(f326(x86231,x86232),x86233))+~P103(f326(f314(f879(a1,a1),a57),f326(f326(f261(a1,a1),x86232),x86233)))
% 149.08/148.75 [8624]~P103(f326(f326(x86241,f525(x86241,x86243,x86242)),f529(x86241,x86243,x86242)))+P103(f326(f326(x86241,x86242),x86243))+~P103(f326(f314(f879(a1,a1),a229),f326(f326(f261(a1,a1),x86242),x86243)))
% 149.08/148.75 [8625]~P103(f326(f326(x86251,f530(x86251,x86253,x86252)),f531(x86251,x86253,x86252)))+P103(f326(f326(x86251,x86252),x86253))+~P103(f326(f314(f879(a872,a872),a224),f326(f326(f261(a872,a872),x86252),x86253)))
% 149.08/148.75 [8626]~P103(f326(f326(x86261,f695(x86261,x86263,x86262)),f698(x86261,x86263,x86262)))+P103(f326(f326(x86261,x86262),x86263))+~P103(f326(f314(f879(a1,a1),a179),f326(f326(f261(a1,a1),x86262),x86263)))
% 149.08/148.75 [8880]P103(f326(f326(x88801,x88802),x88803))+P103(f326(f314(f879(a872,a872),a224),f326(f326(f261(a872,a872),f530(x88801,x88803,x88802)),f531(x88801,x88803,x88802))))+~P103(f326(f314(f879(a872,a872),a224),f326(f326(f261(a872,a872),x88802),x88803)))
% 149.08/148.75 [8881]P103(f326(f326(x88811,x88812),x88813))+P103(f326(f314(f879(a1,a1),a52),f326(f326(f261(a1,a1),f520(x88811,x88813,x88812)),f522(x88811,x88813,x88812))))+~P103(f326(f314(f879(a1,a1),a52),f326(f326(f261(a1,a1),x88812),x88813)))
% 149.08/148.75 [8882]P103(f326(f326(x88821,x88822),x88823))+P103(f326(f314(f879(a1,a1),a57),f326(f326(f261(a1,a1),f523(x88821,x88823,x88822)),f524(x88821,x88823,x88822))))+~P103(f326(f314(f879(a1,a1),a57),f326(f326(f261(a1,a1),x88822),x88823)))
% 149.08/148.75 [8883]P103(f326(f326(x88831,x88832),x88833))+P103(f326(f314(f879(a1,a1),a229),f326(f326(f261(a1,a1),f525(x88831,x88833,x88832)),f529(x88831,x88833,x88832))))+~P103(f326(f314(f879(a1,a1),a229),f326(f326(f261(a1,a1),x88832),x88833)))
% 149.08/148.75 [8884]P103(f326(f326(x88841,x88842),x88843))+P103(f326(f314(f879(a1,a1),a179),f326(f326(f261(a1,a1),f695(x88841,x88843,x88842)),f698(x88841,x88843,x88842))))+~P103(f326(f314(f879(a1,a1),a179),f326(f326(f261(a1,a1),x88842),x88843)))
% 149.08/148.75 [9228]~P103(f326(f62(x92281),x92283))+P103(f326(f326(f328(f879(f880(x92281,a866),f880(x92281,a866))),f326(f326(f261(f880(x92281,a866),f880(x92281,a866)),x92282),x92283)),f301(x92281)))+~P103(f326(f326(f241(f880(x92281,a866)),x92282),x92283))
% 149.08/148.75 [9299]~P55(x92991,f326(x92993,f611(x92992,x92993,x92991)))+P55(x92991,f326(f326(f42(x92992,f880(x92991,f880(x92991,a866))),f249(f880(x92992,a866))),x92993))+~E(f326(f326(f106(f880(x92991,a866)),f255(x92991,x92991,f326(x92993,f610(x92992,x92993,x92991)))),f256(x92991,x92991,f326(x92993,f612(x92992,x92993,x92991)))),f190(f880(x92991,a866)))
% 149.08/148.75 [9370]~P23(a867,f190(f880(f871(a867),a866)),f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),x93701),x93702),x93703)),f190(f880(f871(a867),a866))))+~P20(a867,f190(f880(f871(a867),a866)),f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),x93702),f197(x93702))),f190(f880(f871(a867),a866))))+P20(a867,f190(f880(f871(a867),a866)),f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),x93701),x93702),x93703)),f190(f880(f871(a867),a866))))
% 149.08/148.75 [9496]P47(x94961,x94962,x94963)+P103(f326(f326(f328(f879(x94961,x94961)),f594(x94963,x94962,x94961)),x94963))+~P103(f326(f326(f328(f879(x94961,x94961)),f326(f326(f261(x94961,x94961),f593(x94963,x94962,x94961)),f593(x94963,x94962,x94961))),x94963))
% 149.08/148.75 [10079]P47(x100791,x100792,x100793)+~P103(f326(f326(f265(x100791,x100791,a866),f326(f326(f7(x100791,f880(x100791,a866),f880(x100791,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x100791,a866),f880(x100791,a866)),x100791),f8(a866,a866,x100791)),f326(f326(f8(a866,f880(a866,a866),x100791),a324),f326(f326(f7(x100791,f880(x100791,a866),a866),f328(x100791)),x100792)))),f326(f326(f7(x100791,f880(x100791,a866),a866),f328(x100791)),x100792))),f594(x100793,x100792,x100791)))+~P103(f326(f326(f328(f879(x100791,x100791)),f326(f326(f261(x100791,x100791),f593(x100793,x100792,x100791)),f593(x100793,x100792,x100791))),x100793))
% 149.08/148.75 [5634]~P56(x56342)+E(x56341,f2(x56342))+E(f326(f326(f39(x56342),f326(f326(f82(x56342),x56343),x56341)),x56341),x56343)
% 149.08/148.75 [5635]~P56(x56352)+E(x56351,f2(x56352))+E(f326(f326(f39(x56352),f326(f326(f82(x56352),x56351),x56353)),x56351),x56353)
% 149.08/148.75 [6429]~P72(x64291)+~E(f326(x64292,f2(a872)),f2(x64291))+E(f326(f326(f6(a872,x64291),x64292),f326(f296(a872,f326(a117,f2(a872))),x64293)),f326(f326(f6(a872,x64291),x64292),f326(f296(a872,f2(a872)),x64293)))
% 149.08/148.75 [6558]~P56(x65582)+E(x65581,f2(x65582))+E(f326(f326(f39(x65582),f326(f326(f81(x65582),x65583),x65581)),x65581),f326(f326(f81(x65582),f326(f326(f39(x65582),x65583),x65581)),f79(x65582)))
% 149.08/148.75 [6559]~P56(x65592)+E(x65591,f2(x65592))+E(f326(f326(f39(x65592),f326(f326(f81(x65592),x65591),x65593)),x65591),f326(f326(f81(x65592),f326(f326(f39(x65592),x65593),x65591)),f79(x65592)))
% 149.08/148.75 [6778]~P103(f326(x67783,f2(a1)))+P103(f326(f326(f240(a872),x67781),x67782))+P103(f326(x67783,f326(f105(a1),f326(f326(f22(a872),x67782),x67781))))
% 149.08/148.75 [6882]P103(f326(f326(f241(a872),x68822),x68821))+P103(f326(f326(f240(a872),x68821),x68822))+P103(f326(x68823,f326(f105(a1),f326(f326(f22(a872),x68822),x68821))))
% 149.08/148.75 [6954]E(f326(f326(f81(a872),f326(f108(a872),x69541)),f326(f326(f81(a872),f326(f108(a872),x69542)),x69543)),f326(f326(f81(a872),f326(f108(a872),x69541)),x69543))+P103(f326(a196,f326(f108(a1),x69541)))+~P103(f326(a196,f326(f108(a1),x69542)))
% 149.08/148.75 [7035]~E(x70352,f326(f326(f39(a872),x70353),x70351))+~P103(f326(f326(f241(a872),f2(a872)),x70351))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x70351),x70352)),x70353))
% 149.08/148.75 [7149]~P103(f326(f62(x71491),x71493))+~P103(f326(f62(x71491),x71492))+P103(f326(f62(x71491),f326(f326(f115(f880(x71491,a866)),x71492),x71493)))
% 149.08/148.75 [7444]~P105(x74441)+~P103(f326(f62(x74441),x74442))+E(f135(x74441,f326(f326(f22(f880(x74441,a866)),x74442),f326(f326(f304(x74441),x74443),f190(f880(x74441,a866))))),f166(x74441,x74443,f135(x74441,x74442)))
% 149.08/148.75 [7510]P103(f326(x75101,f2(a1)))+~P103(f326(f326(f241(a872),x75102),x75103))+~P103(f326(x75101,f326(f105(a1),f326(f326(f22(a872),x75102),x75103))))
% 149.08/148.75 [7527]~P103(f326(f62(x75271),x75272))+E(f326(f38(x75271),f326(f326(f22(f880(x75271,a866)),x75272),f326(f326(f304(x75271),x75273),f190(f880(x75271,a866))))),f326(f38(x75271),x75272))+P103(f326(f326(f328(x75271),x75273),x75272))
% 149.08/148.75 [7657]~P108(x76571)+~P103(f326(f326(f241(x76571),f79(x76571)),x76572))+P103(f326(f326(f241(x76571),f79(x76571)),f326(f326(f82(x76571),x76572),f326(f326(f251(x76571),x76572),x76573))))
% 149.08/148.75 [7702]~P103(f326(f62(x77021),x77023))+E(f326(f326(f22(a872),f326(f38(x77021),x77022)),f326(f38(x77021),x77023)),f326(f38(x77021),f326(f326(f22(f880(x77021,a866)),x77022),x77023)))+~P103(f326(f326(f240(f880(x77021,a866)),x77023),x77022))
% 149.08/148.75 [7759]~P103(f326(f326(f240(a872),x77592),x77593))+~P103(f326(f326(f240(a872),x77591),f326(f326(f22(a872),x77593),x77592)))+P103(f326(f326(f240(a872),f326(f326(f81(a872),x77591),x77592)),x77593))
% 149.08/148.75 [7810]P103(f326(f62(x78101),x78102))+~P103(f326(f62(x78101),x78103))+~P103(f326(f62(x78101),f326(f326(f22(f880(x78101,a866)),x78102),x78103)))
% 149.08/148.75 [7816]~P103(f326(f62(x78161),x78162))+E(f326(f38(x78161),f326(f326(f22(f880(x78161,a866)),x78162),f326(f326(f304(x78161),x78163),f190(f880(x78161,a866))))),f326(f326(f22(a872),f326(f38(x78161),x78162)),f79(a872)))+~P103(f326(f326(f328(x78161),x78163),x78162))
% 149.08/148.75 [7892]P55(x78921,x78922)+~P55(x78921,x78923)+~P103(f326(f326(f240(f880(x78921,f880(x78921,a866))),x78922),x78923))
% 149.08/148.75 [7933]~P103(f326(f326(f240(a872),x79333),x79332))+P103(f326(f326(f240(a872),x79331),f326(f326(f22(a872),x79332),x79333)))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),x79331),x79333)),x79332))
% 149.08/148.75 [7951]P37(x79511,x79512)+~P37(x79511,x79513)+~P103(f326(f326(f240(f880(f879(x79511,x79511),a866)),x79512),x79513))
% 149.08/148.75 [7952]P53(x79521,x79522)+~P53(x79521,x79523)+~P103(f326(f326(f240(f880(f879(x79521,x79521),a866)),x79522),x79523))
% 149.08/148.75 [8196]~P108(x81961)+~P103(f326(f326(f241(x81961),f79(x81961)),x81962))+P103(f326(f326(f241(x81961),f326(f326(f251(x81961),x81962),x81963)),f326(f326(f82(x81961),x81962),f326(f326(f251(x81961),x81962),x81963))))
% 149.08/148.75 [8285]~P103(f326(x82851,f2(a1)))+~P103(f326(x82851,f326(f326(f22(a1),f326(f105(a1),x82852)),f326(f105(a1),x82853))))+P103(f326(x82851,f326(f105(a1),f326(f326(f22(a872),x82852),x82853))))
% 149.08/148.75 [8298]~P103(f326(f326(f240(a872),x82983),x82982))+P103(f326(x82981,f326(f326(f22(a1),f326(f105(a1),x82982)),f326(f105(a1),x82983))))+~P103(f326(x82981,f326(f105(a1),f326(f326(f22(a872),x82982),x82983))))
% 149.08/148.75 [8316]P103(f326(f326(f241(a872),x83161),x83162))+~P103(f326(x83163,f326(f326(f22(a1),f326(f105(a1),x83161)),f326(f105(a1),x83162))))+P103(f326(x83163,f326(f105(a1),f326(f326(f22(a872),x83161),x83162))))
% 149.08/148.75 [8371]~P122(x83712)+E(x83711,f2(x83712))+P103(f326(f326(f241(x83712),f2(x83712)),f326(f326(f81(x83712),f326(f326(f82(x83712),x83713),x83713)),f326(f326(f82(x83712),x83711),x83711))))
% 149.08/148.75 [8372]~P122(x83722)+E(x83721,f2(x83722))+P103(f326(f326(f241(x83722),f2(x83722)),f326(f326(f81(x83722),f326(f326(f82(x83722),x83721),x83721)),f326(f326(f82(x83722),x83723),x83723))))
% 149.08/148.75 [8481]~P103(f326(f326(f241(a872),f2(a872)),x84811))+~P103(f326(f326(f241(a1),x84812),x84813))+P103(f326(f326(f241(a1),f326(f326(f82(a1),f326(f105(a1),x84811)),x84812)),f326(f326(f82(a1),f326(f105(a1),x84811)),x84813)))
% 149.08/148.75 [8537]E(f326(f326(f106(f880(x85371,a866)),x85372),f40(f880(x85371,a866),x85373)),f190(f880(x85371,a866)))+P103(f326(f326(f328(f880(x85371,a866)),x85372),x85373))+P103(f326(f326(f328(f880(x85371,a866)),f847(x85373,x85372,x85371)),f326(f326(f304(f880(x85371,a866)),x85372),x85373)))
% 149.08/148.75 [8538]E(f326(f326(f106(f880(x85381,a866)),x85382),f40(f880(x85381,a866),x85383)),f190(f880(x85381,a866)))+P103(f326(f326(f328(f880(x85381,a866)),x85382),x85383))+P103(f326(f326(f328(f880(x85381,a866)),f846(x85383,x85382,x85381)),f326(f326(f304(f880(x85381,a866)),x85382),x85383)))
% 149.08/148.75 [8566]E(x85661,x85662)+~E(f326(f191(f873(x85663)),x85661),f326(f191(f873(x85663)),x85662))+P103(f326(f326(f328(f879(x85663,x85663)),f675(x85663,x85661,x85662)),f326(f168(f879(x85663,x85663)),f326(f326(f178(x85663,x85663),x85662),x85661))))
% 149.08/148.75 [8798]E(f302(x87981,x87982),f302(x87981,x87983))+~P103(f326(f326(f240(f880(f879(x87981,x87981),a866)),x87983),f302(x87981,x87982)))+~P103(f326(f326(f240(f880(f879(x87981,x87981),a866)),x87982),x87983))
% 149.08/148.75 [8858]~P47(x88581,f249(f880(x88581,a866)),x88583)+P103(f326(f326(f240(f880(f879(f873(x88581),f873(x88581)),a866)),f153(x88581,x88582)),f154(x88581,x88583)))+~P103(f326(f326(f240(f880(f879(x88581,x88581),a866)),x88582),x88583))
% 149.08/148.75 [9064]P37(x90641,x90642)+~P103(f326(f326(f328(x90641),x90643),f640(x90642,x90641)))+P103(f326(f326(f328(f879(x90641,x90641)),f326(f326(f261(x90641,x90641),f663(x90642,x90641,x90643)),x90643)),x90642))
% 149.08/148.75 [9098]~P103(f326(f62(x90981),x90982))+P103(f326(f62(f880(x90981,a866)),f326(f326(f61(x90981),x90982),x90983)))+~P103(f326(f326(f240(f880(f879(x90981,x90981),a866)),x90983),f326(f326(f263(x90981,x90981),x90982),f326(f16(f880(x90981,a866),x90981),x90982))))
% 149.08/148.75 [9133]P47(x91331,x91332,x91333)+P103(f326(f326(f328(x91331),f587(x91333,x91332,x91331)),x91332))+~P103(f326(f326(f240(f880(f879(x91331,x91331),a866)),x91333),f326(f326(f263(x91331,x91331),x91332),f326(f16(f880(x91331,a866),x91331),x91332))))
% 149.08/148.75 [9134]P47(x91341,x91342,x91343)+P103(f326(f326(f328(x91341),f592(x91342,x91343,x91341)),x91342))+~P103(f326(f326(f240(f880(f879(x91341,x91341),a866)),x91343),f326(f326(f263(x91341,x91341),x91342),f326(f16(f880(x91341,a866),x91341),x91342))))
% 149.08/148.75 [9169]~P62(x91691)+~P103(f326(f326(f241(x91691),x91692),x91693))+P103(f326(f326(f241(x91691),f326(f326(f284(x91691),f326(f326(f81(x91691),x91692),x91693)),f326(f326(f81(x91691),f79(x91691)),f79(x91691)))),x91693))
% 149.08/148.75 [9198]~P61(x91981)+P103(f326(f326(f240(x91981),x91982),x91983))+~P103(f326(f326(f240(x91981),f326(f326(f82(x91981),f480(x91983,x91982,x91981)),x91982)),x91983))
% 149.08/148.75 [9334]E(f326(f191(f873(f873(x93341))),f326(f132(f873(x93341),f326(f326(f8(a872,a866,f873(x93341)),f326(f241(a872),x93342)),f191(f873(x93341)))),f176(x93341,x93343))),f326(f191(f873(x93341)),f326(f326(f161(f873(x93341)),x93343),x93342)))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x93341),a872),f191(f873(x93341))),x93343)))+~P103(f326(f326(f241(a872),x93342),f326(f191(f873(f873(x93341))),x93343)))
% 149.08/148.75 [9442]~P37(x94421,x94422)+P22(x94421,f326(f326(f261(f880(f879(x94421,x94421),a866),f880(f879(x94421,x94421),a866)),x94422),x94423))+~P103(f326(f326(f240(f880(f879(x94421,x94421),a866)),f326(f326(f283(x94421,x94421,x94421),x94422),x94423)),x94422))
% 149.08/148.75 [9449]E(f326(f326(f150(f873(x94491),x94491),f326(f326(f7(f873(x94491),a872,x94491),f161(x94491)),x94492)),f326(f132(f873(x94491),f326(f326(f8(a872,a866,f873(x94491)),f326(f241(a872),x94492)),f191(f873(x94491)))),f176(x94491,x94493))),f326(f326(f161(f873(x94491)),x94493),x94492))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x94491),a872),f191(f873(x94491))),x94493)))+~P103(f326(f326(f241(a872),x94492),f326(f191(f873(f873(x94491))),x94493)))
% 149.08/148.75 [9583]P47(x95831,x95832,x95833)+~P103(f326(f326(f328(f879(x95831,x95831)),f326(f326(f261(x95831,x95831),f587(x95833,x95832,x95831)),f587(x95833,x95832,x95831))),x95833))+~P103(f326(f326(f240(f880(f879(x95831,x95831),a866)),x95833),f326(f326(f263(x95831,x95831),x95832),f326(f16(f880(x95831,a866),x95831),x95832))))
% 149.08/148.75 [9584]P47(x95841,x95842,x95843)+~P103(f326(f326(f328(f879(x95841,x95841)),f326(f326(f261(x95841,x95841),f592(x95842,x95843,x95841)),f592(x95842,x95843,x95841))),x95843))+~P103(f326(f326(f240(f880(f879(x95841,x95841),a866)),x95843),f326(f326(f263(x95841,x95841),x95842),f326(f16(f880(x95841,a866),x95841),x95842))))
% 149.08/148.75 [9758]~P138(x97581)+~P120(x97581)+E(f326(f326(f284(x97581),f326(f107(x97581),f326(f326(f74(f879(a1,a1),a1,x97582,f260(a1,a1)),f217(x97582)),x97583))),f326(f107(x97581),f326(f326(f74(f879(a1,a1),a1,x97582,f264(a1,a1)),f217(x97582)),x97583))),f230(x97582,x97581,x97583))
% 149.08/148.75 [9959]~E(x99593,f2(a872))+~E(f326(f191(f873(x99591)),f326(f326(f161(f873(x99591)),x99592),f737(x99593,x99591,x99592))),x99593)+E(f326(f326(f150(a872,f873(x99591)),f326(f326(f7(a872,f873(a872),f873(x99591)),f326(f326(f8(f880(a872,x99591),f880(f873(a872),f873(x99591)),a872),f150(a872,x99591)),f326(f7(a872,a872,x99591),f326(f326(f8(f873(x99591),f880(a872,x99591),a872),f161(x99591)),f326(f161(f873(x99591)),x99592))))),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(f873(x99591))),x99592))))),f135(a872,f326(f296(a872,f2(a872)),x99593))),f176(x99591,x99592))
% 149.08/148.75 [9960]E(x99601,f118(f873(x99602)))+~E(f326(f191(f873(x99602)),f326(f326(f161(f873(x99602)),x99601),f737(x99603,x99602,x99601))),x99603)+E(f326(f326(f150(a872,f873(x99602)),f326(f326(f7(a872,f873(a872),f873(x99602)),f326(f326(f8(f880(a872,x99602),f880(f873(a872),f873(x99602)),a872),f150(a872,x99602)),f326(f7(a872,a872,x99602),f326(f326(f8(f873(x99602),f880(a872,x99602),a872),f161(x99602)),f326(f161(f873(x99602)),x99601))))),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(f873(x99602))),x99601))))),f135(a872,f326(f296(a872,f2(a872)),x99603))),f176(x99602,x99601))
% 149.08/148.75 [9961]~E(x99613,f2(a872))+E(f326(f326(f150(a872,f873(x99611)),f326(f326(f7(a872,f873(a872),f873(x99611)),f326(f326(f8(f880(a872,x99611),f880(f873(a872),f873(x99611)),a872),f150(a872,x99611)),f326(f7(a872,a872,x99611),f326(f326(f8(f873(x99611),f880(a872,x99611),a872),f161(x99611)),f326(f161(f873(x99611)),x99612))))),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(f873(x99611))),x99612))))),f135(a872,f326(f296(a872,f2(a872)),x99613))),f176(x99611,x99612))+P103(f326(f326(f241(a872),f737(x99613,x99611,x99612)),f326(f191(f873(f873(x99611))),x99612)))
% 149.08/148.75 [9962]E(x99621,f118(f873(x99622)))+E(f326(f326(f150(a872,f873(x99622)),f326(f326(f7(a872,f873(a872),f873(x99622)),f326(f326(f8(f880(a872,x99622),f880(f873(a872),f873(x99622)),a872),f150(a872,x99622)),f326(f7(a872,a872,x99622),f326(f326(f8(f873(x99622),f880(a872,x99622),a872),f161(x99622)),f326(f161(f873(x99622)),x99621))))),f135(a872,f326(f296(a872,f2(a872)),f326(f191(f873(f873(x99622))),x99621))))),f135(a872,f326(f296(a872,f2(a872)),x99623))),f176(x99622,x99621))+P103(f326(f326(f241(a872),f737(x99623,x99622,x99621)),f326(f191(f873(f873(x99622))),x99621)))
% 149.08/148.75 [7699]E(f326(f326(f81(a872),f326(f108(a872),x76991)),f326(f326(f81(a872),f326(f108(a872),x76992)),x76993)),f326(f326(f81(a872),f326(f108(a872),f326(f326(f81(a1),x76991),x76992))),x76993))+P103(f326(a196,f326(f108(a1),x76991)))+P103(f326(a196,f326(f108(a1),x76992)))
% 149.08/148.75 [8472]~P103(f326(f62(x84721),x84722))+~P103(f326(f326(f328(x84721),x84723),x84722))+E(f326(a117,f326(f38(x84721),f326(f326(f22(f880(x84721,a866)),x84722),f326(f326(f304(x84721),x84723),f190(f880(x84721,a866)))))),f326(f38(x84721),x84722))
% 149.08/148.75 [8491]~P103(f326(f62(x84911),x84912))+~P103(f326(f326(f328(x84911),x84913),x84912))+E(f326(f326(f81(a872),f79(a872)),f326(f38(x84911),f326(f326(f22(f880(x84911,a866)),x84912),f326(f326(f304(x84911),x84913),f190(f880(x84911,a866)))))),f326(f38(x84911),x84912))
% 149.08/148.75 [8575]~P105(x85751)+~P103(f326(f62(x85751),x85753))+E(f326(f326(f144(x85751,x85751,f5(x85751)),x85752),f135(x85751,f326(f326(f22(f880(x85751,a866)),x85753),f326(f326(f304(x85751),x85752),f190(f880(x85751,a866)))))),f135(x85751,f326(f326(f304(x85751),x85752),x85753)))
% 149.08/148.75 [8726]~P103(f326(f62(x87261),x87263))+~P103(f326(f62(x87261),x87262))+E(f326(f326(f81(a872),f326(f38(x87261),f326(f326(f115(f880(x87261,a866)),x87262),x87263))),f326(f38(x87261),f326(f326(f106(f880(x87261,a866)),x87262),x87263))),f326(f326(f81(a872),f326(f38(x87261),x87262)),f326(f38(x87261),x87263)))
% 149.08/148.75 [9907]~P21(x99071,f880(f880(x99071,a866),a866),f326(f326(f7(x99071,f880(f879(x99071,x99071),a866),f880(f880(x99071,a866),a866)),f326(f326(f8(f880(x99071,a866),f880(f880(f879(x99071,x99071),a866),f880(f880(x99071,a866),a866)),x99071),f61(x99071)),f326(f326(f7(x99071,f880(x99071,a866),f880(x99071,a866)),f304(x99071)),f190(f880(x99071,a866))))),x99073),x99072)+~P103(f326(f62(x99071),x99072))+E(f326(f38(f880(x99071,a866)),f326(f326(f61(x99071),x99072),x99073)),f326(f38(x99071),x99072))
% 149.08/148.75 [7967]~P93(x79671)+P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x79673)))+E(f326(f326(f251(x79671),x79672),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x79673),x79673)),a102))),f79(x79671))
% 149.08/148.75 [9425]~P93(x94251)+~P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),x94253)))+E(f326(f326(f251(x94251),x94252),f326(f108(a872),f326(f326(f22(a1),f326(f326(f81(a1),x94253),x94253)),a102))),f326(f326(f87(x94251,x94251),f326(f326(f251(x94251),x94252),f326(f108(a872),x94253))),f326(f326(f18(x94251,x94251,x94251),f326(f326(f8(x94251,f880(x94251,x94251),x94251),f82(x94251)),f326(f82(x94251),x94252))),f5(x94251))))
% 149.08/148.75 [9817]~P103(f326(f133(x98171),x98173))+~P103(f326(f326(f328(x98171),x98172),f326(f168(x98171),x98173)))+E(f326(f326(f134(x98171),f326(f191(f873(x98171)),f173(x98171,f326(f326(f8(a866,a866,x98171),a321),f326(f326(f7(x98171,x98171,a866),a323),x98172)),f326(f165(x98171),x98173)))),f326(f165(x98171),x98173)),f326(f326(f147(x98171),x98172),f326(f165(x98171),f173(x98171,f326(f326(f8(a866,a866,x98171),a321),f326(f326(f7(x98171,x98171,a866),a323),x98172)),x98173))))
% 149.08/148.75 [9888]P103(f326(f326(f240(f880(f879(x98881,x98881),a866)),f302(x98881,x98882)),x98883))+~P103(f326(f326(f240(f880(f879(x98881,x98881),a866)),f302(x98881,f190(f880(f879(x98881,x98881),a866)))),x98883))+~P103(f326(f326(f240(f880(f879(x98881,x98881),a866)),f326(f326(f283(x98881,x98881,x98881),f326(f326(f106(f880(f879(x98881,x98881),a866)),f302(x98881,x98882)),x98883)),x98882)),x98883))
% 149.08/148.75 [9729]~P103(f326(f62(x97291),f326(f246(x97291),x97293)))+~P103(f326(f62(x97291),f326(f246(x97291),x97292)))+P103(f326(f62(x97291),f326(f246(x97291),f326(f326(f18(x97291,a866,a866),f326(f326(f8(a866,f880(a866,a866),x97291),a325),x97292)),x97293))))
% 149.08/148.75 [10021]P103(f326(f326(f240(f880(f879(x100211,x100211),a866)),f326(f326(f283(x100211,x100211,x100211),x100212),f302(x100211,x100212))),x100213))+~P103(f326(f326(f240(f880(f879(x100211,x100211),a866)),x100212),x100213))+~P103(f326(f326(f240(f880(f879(x100211,x100211),a866)),f326(f326(f283(x100211,x100211,x100211),f326(f326(f106(f880(f879(x100211,x100211),a866)),f326(f326(f283(x100211,x100211,x100211),x100212),f302(x100211,x100212))),x100213)),x100212)),x100213))
% 149.08/148.75 [9975]~P109(x99752)+E(x99751,f2(x99752))+~E(f326(f326(f81(x99752),f326(f326(f251(x99752),x99753),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x99752),x99751),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f2(x99752))
% 149.08/148.75 [9976]~P109(x99762)+E(x99761,f2(x99762))+~E(f326(f326(f81(x99762),f326(f326(f251(x99762),x99761),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x99762),x99763),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f2(x99762))
% 149.08/148.75 [9981]~P103(f326(f133(x99811),x99813))+~P103(f326(f326(f328(x99811),x99812),f326(f168(x99811),x99813)))+E(f326(f165(x99811),f326(f167(x99811),f326(f326(f134(x99811),f326(f191(f873(x99811)),f173(x99811,f326(f326(f8(a866,a866,x99811),a321),f326(f326(f7(x99811,x99811,a866),a323),x99812)),x99813))),x99813))),f173(x99811,f326(f326(f8(a866,a866,x99811),a321),f326(f326(f7(x99811,x99811,a866),a323),x99812)),f326(f165(x99811),x99813)))
% 149.08/148.75 [10066]~P109(x100662)+E(x100661,f2(x100662))+P103(f326(f326(f241(x100662),f2(x100662)),f326(f326(f81(x100662),f326(f326(f251(x100662),x100663),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100662),x100661),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))))
% 149.08/148.75 [10067]~P109(x100672)+E(x100671,f2(x100672))+P103(f326(f326(f241(x100672),f2(x100672)),f326(f326(f81(x100672),f326(f326(f251(x100672),x100671),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100672),x100673),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))))
% 149.08/148.75 [10109]~P109(x101091)+P103(f326(f326(f240(x101091),f2(x101091)),x101092))+~P103(f326(f326(f240(x101091),f2(x101091)),f326(f326(f251(x101091),x101092),f326(a117,f326(f326(f82(a872),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),x101093)))))
% 149.08/148.75 [5477]~P20(x54771,x54774,x54773)+P20(x54771,x54772,x54773)+~P20(x54771,x54772,x54774)
% 149.08/148.75 [4937]~E(x49372,f91(x49373,x49371))+P103(f326(x49371,x49372))+~P103(f326(x49371,x49374))
% 149.08/148.75 [6689]~P37(x66892,x66894)+~P37(x66891,x66893)+P37(f879(x66891,x66892),f318(x66891,x66892,x66893,x66894))
% 149.08/148.75 [5116]~P2(x51164,x51161)+~E(f326(x51161,x51162),f326(x51161,x51163))+P103(f326(f326(x51161,x51162),x51163))
% 149.08/148.75 [5290]~P2(x52904,x52901)+E(f326(x52901,x52902),f326(x52901,x52903))+~P103(f326(f326(x52901,x52902),x52903))
% 149.08/148.75 [5383]~P14(x53833,x53834,x53831)+E(f326(x53831,x53832),f326(f64(x53833,x53834),x53832))+~P103(f326(f62(x53833),x53832))
% 149.08/148.75 [5384]~P5(x53843,x53844,x53841)+E(f326(x53841,x53842),f326(f64(x53843,x53844),x53842))+~P103(f326(f62(x53843),x53842))
% 149.08/148.75 [5510]~P2(x55104,x55101)+~P103(f326(f326(x55101,x55103),x55102))+P103(f326(f326(x55101,x55102),x55103))
% 149.08/148.75 [5577]E(x55771,x55772)+~E(f326(f260(x55773,x55774),x55771),f326(f260(x55773,x55774),x55772))+~E(f326(f264(x55773,x55774),x55771),f326(f264(x55773,x55774),x55772))
% 149.08/148.75 [5602]E(x56021,x56022)+~P103(f326(f48(x56023,x56024),x56022))+~P103(f326(f48(x56023,x56024),x56021))
% 149.08/148.75 [5793]~P72(x57932)+E(f231(x57931,x57932,x57933,x57934),f2(x57932))+P103(f326(f62(x57931),x57934))
% 149.08/148.75 [5930]~P103(f326(f314(x59301,x59302),x59304))+P103(f326(f314(x59301,x59302),x59303))+~P103(f326(f326(x59302,x59303),x59304))
% 149.08/148.75 [7887]~P105(x78872)+~P103(f326(f133(x78871),x78874))+P103(f326(f133(x78871),f146(x78871,x78872,x78873,x78874)))
% 149.08/148.75 [8115]~P103(f326(f62(x81152),x81154))+~P103(f326(f62(x81151),x81153))+P103(f326(f62(f878(x81151,x81152)),f313(x81151,x81152,x81153,x81154)))
% 149.08/148.75 [8116]~P103(f326(f133(x81162),x81164))+~P103(f326(f133(x81161),x81163))+P103(f326(f133(f879(x81161,x81162)),f60(x81161,x81162,x81163,x81164)))
% 149.08/148.75 [8120]P103(f326(f326(f328(f873(x81201)),f326(f326(f126(x81201),x81202),x81203)),f157(x81201,x81204)))+~P103(f326(f326(f328(f873(x81201)),x81203),f157(x81201,x81204)))+~P103(f326(f326(f328(f873(x81201)),x81202),f157(x81201,x81204)))
% 149.08/148.75 [8440]P103(f326(x84401,x84402))+~E(x84403,f326(f233(x84404),x84402))+~P103(f326(x84401,f405(x84402,x84401,x84403,x84404)))
% 149.08/148.75 [8451]~P105(x84513)+~P103(f326(f133(x84511),f146(x84511,x84513,x84514,x84512)))+P103(f326(f133(x84511),x84512))
% 149.08/148.75 [8717]~P103(f326(f326(f328(f879(x87171,x87171)),f326(f326(f261(x87171,x87171),x87172),x87174)),f302(x87171,x87173)))+P103(f326(f326(f328(x87171),x87172),f315(x87171,x87173)))+~P103(f326(f326(f328(x87171),x87174),f315(x87171,x87173)))
% 149.08/148.75 [8737]~E(x87374,f326(f233(x87373),x87372))+P103(f326(x87371,x87372))+P103(f326(f326(f328(x87373),f405(x87372,x87371,x87374,x87373)),f232(x87373,x87374)))
% 149.08/148.75 [5100]~P72(x51002)+E(f326(f326(f6(x51001,x51002),x51003),x51004),f2(x51002))+P103(f326(f62(x51001),x51004))
% 149.08/148.75 [5103]~P73(x51032)+E(f326(f326(f9(x51031,x51032),x51033),x51034),f79(x51032))+P103(f326(f62(x51031),x51034))
% 149.08/148.75 [5254]~P67(x52543)+E(x52541,x52542)+~E(f326(f326(f81(x52543),x52544),x52541),f326(f326(f81(x52543),x52544),x52542))
% 149.08/148.75 [5255]~P68(x52553)+E(x52551,x52552)+~E(f326(f326(f81(x52553),x52554),x52551),f326(f326(f81(x52553),x52554),x52552))
% 149.08/148.75 [5257]~P67(x52573)+E(x52571,x52572)+~E(f326(f326(f81(x52573),x52571),x52574),f326(f326(f81(x52573),x52572),x52574))
% 149.08/148.75 [5336]~E(x53362,f326(f326(f304(x53361),x53363),x53364))+~P103(f326(f62(x53361),x53364))+P103(f326(f62(x53361),x53362))
% 149.08/148.75 [5379]~P26(x53793)+E(x53791,f190(f880(x53792,a866)))+E(f326(f326(f42(x53792,x53793),x53791),f326(f16(x53793,x53792),x53794)),x53794)
% 149.08/148.75 [5380]~P26(x53803)+E(x53801,f190(f880(x53802,a866)))+E(f326(f326(f43(x53802,x53803),x53801),f326(f16(x53803,x53802),x53804)),x53804)
% 149.08/148.75 [5590]~P107(x55903)+E(x55901,x55902)+~E(f297(x55903,x55904,x55901),f326(f326(f304(x55903),x55902),f190(f880(x55903,a866))))
% 149.08/148.75 [5591]~P107(x55913)+E(x55911,x55912)+~E(f297(x55913,x55911,x55912),f326(f326(f304(x55913),x55914),f190(f880(x55913,a866))))
% 149.08/148.75 [5651]~P35(x56513,x56511,x56514)+P35(x56513,x56511,f326(f326(f147(x56513),x56512),x56514))+P103(f326(x56511,x56512))
% 149.08/148.75 [5753]~P31(x57531,x57532,x57534)+~P103(f326(x57532,x57533))+P31(x57531,x57532,f326(f326(f147(x57531),x57533),x57534))
% 149.08/148.75 [5886]P103(f326(x58861,x58862))+~P103(f326(f254(x58863,x58861),x58864))+~P103(f326(f326(f328(x58863),x58862),x58864))
% 149.08/148.75 [5895]~P31(x58951,x58952,x58954)+~P31(x58951,x58952,x58953)+P31(x58951,x58952,f326(f326(f126(x58951),x58953),x58954))
% 149.08/148.75 [5905]P33(x59051,x59052,x59053)+~P33(x59051,x59052,f326(f326(f147(x59051),x59054),x59053))+P103(f326(x59052,x59054))
% 149.08/148.75 [5906]P35(x59061,x59062,x59063)+~P35(x59061,x59062,f326(f326(f147(x59061),x59064),x59063))+P103(f326(x59062,x59064))
% 149.08/148.75 [5919]E(x59191,x59192)+~P103(f326(f326(f197(x59193),x59194),x59192))+~P103(f326(f326(f197(x59193),x59194),x59191))
% 149.08/148.75 [5986]P33(x59861,x59862,x59863)+P33(x59861,x59862,x59864)+~P33(x59861,x59862,f326(f326(f126(x59861),x59864),x59863))
% 149.08/148.75 [6005]~P72(x60051)+E(f326(f326(f6(a872,x60051),x60052),f326(f296(a872,x60053),f326(a117,x60054))),f2(x60051))+~P103(f326(f326(f241(a872),x60054),x60053))
% 149.08/148.75 [6010]~P57(x60101)+~E(f45(x60101,x60102,x60103),f45(x60101,x60104,x60103))+E(f45(x60101,f326(f80(x60101),x60102),x60103),f45(x60101,f326(f80(x60101),x60104),x60103))
% 149.08/148.75 [6078]P103(f326(x60781,x60782))+~E(f326(f132(x60783,x60781),x60784),x60784)+~P103(f326(f326(f328(x60783),x60782),f326(f168(x60783),x60784)))
% 149.08/148.75 [6097]~E(f326(f326(f81(a872),x60973),x60972),f326(f326(f81(a872),x60971),x60974))+~P103(f326(f326(f241(a872),x60973),x60974))+P103(f326(f326(f241(a872),x60971),x60972))
% 149.08/148.75 [6101]P33(x61011,x61012,x61013)+~P103(f326(x61012,x61014))+~P103(f326(f326(f328(x61011),x61014),f326(f168(x61011),x61013)))
% 149.08/148.75 [6137]~P31(x61373,x61371,x61374)+P103(f326(x61371,x61372))+~P103(f326(f326(f328(x61373),x61372),f326(f168(x61373),x61374)))
% 149.08/148.75 [6139]~E(f326(f132(x61391,x61392),x61393),f118(x61391))+~P103(f326(x61392,x61394))+~P103(f326(f326(f328(x61391),x61394),f326(f168(x61391),x61393)))
% 149.08/148.75 [6140]~E(f173(x61403,x61401,x61404),x61404)+P103(f326(x61401,x61402))+~P103(f326(f326(f328(x61403),x61402),f326(f168(x61403),x61404)))
% 149.08/148.75 [6174]~E(x61744,f190(f880(x61742,a866)))+~E(x61743,f190(f880(x61741,a866)))+E(f313(x61741,x61742,x61743,x61744),f190(f880(f878(x61741,x61742),a866)))
% 149.08/148.75 [6318]P103(f326(x63181,x63182))+~P103(f326(f156(x63183,x63181),x63184))+~P103(f326(f326(f328(x63183),x63182),f326(f168(x63183),x63184)))
% 149.08/148.75 [6587]~P72(x65871)+E(f326(f326(f6(a872,x65871),x65872),f297(a872,x65873,f326(a117,x65874))),f2(x65871))+~P103(f326(f326(f241(a872),f326(a117,x65874)),x65873))
% 149.08/148.75 [6728]~P105(x67281)+E(f326(f326(f22(f880(x67281,a866)),f326(f296(x67281,x67282),x67283)),f326(f296(x67281,x67282),x67284)),f326(f296(x67281,x67284),x67283))+~P103(f326(f326(f240(x67281),x67282),x67284))
% 149.08/148.75 [7081]~P103(f326(f326(f328(f873(x70811)),x70814),f157(x70811,x70813)))+P103(f326(f326(f328(x70811),x70812),x70813))+~P103(f326(f326(f328(x70811),x70812),f326(f168(x70811),x70814)))
% 149.08/148.75 [7088]~P37(x70881,x70882)+P103(f326(f326(f328(x70881),f641(x70882,x70881,x70883)),x70883))+~P103(f326(f326(f328(x70881),x70884),x70883))
% 149.08/148.75 [7144]~P72(x71441)+E(f326(f326(f326(f66(x71441,x71442,f81(x71441)),x71443),f2(x71441)),x71444),f326(f326(f6(x71442,x71441),x71443),x71444))+~P103(f326(f62(x71442),x71444))
% 149.08/148.75 [7146]~P73(x71461)+E(f326(f326(f326(f66(x71461,x71462,f82(x71461)),x71463),f79(x71461)),x71464),f326(f326(f9(x71462,x71461),x71463),x71464))+~P103(f326(f62(x71462),x71464))
% 149.08/148.75 [7174]P21(x71741,x71742,x71743,x71744)+~E(f326(f38(x71742),f326(f305(x71741,x71742,x71743),x71744)),f326(f38(x71741),x71744))+~P103(f326(f62(x71741),x71744))
% 149.08/148.75 [7360]~P72(x73601)+E(f326(f326(f81(x73601),f326(x73602,x73603)),f326(f326(f6(a872,x73601),x73602),f299(a872,x73603,x73604))),f326(f326(f6(a872,x73601),x73602),f297(a872,x73603,x73604)))+~P103(f326(f326(f240(a872),x73603),x73604))
% 149.08/148.75 [7370]~P72(x73701)+~P21(x73702,x73701,x73703,x73704)+E(f326(f326(f6(x73701,x73701),f35(x73701)),f326(f305(x73702,x73701,x73703),x73704)),f326(f326(f6(x73702,x73701),x73703),x73704))
% 149.08/148.75 [7371]~P73(x73711)+~P21(x73712,x73711,x73713,x73714)+E(f326(f326(f9(x73711,x73711),f35(x73711)),f326(f305(x73712,x73711,x73713),x73714)),f326(f326(f9(x73712,x73711),x73713),x73714))
% 149.08/148.75 [7424]E(f326(f38(f878(x74241,x74242)),f313(x74241,x74242,x74243,x74244)),f326(f326(f81(a872),f326(f38(x74241),x74243)),f326(f38(x74242),x74244)))+~P103(f326(f62(x74242),x74244))+~P103(f326(f62(x74241),x74243))
% 149.08/148.75 [7511]E(x75111,x75112)+P103(f326(f326(f328(x75113),x75111),f326(f168(x75113),f166(x75113,x75112,x75114))))+~P103(f326(f326(f328(x75113),x75111),f326(f168(x75113),x75114)))
% 149.08/148.75 [7735]~P72(x77351)+E(f326(f326(f81(x77351),f326(f326(f6(a872,x77351),x77352),f326(f296(a872,x77353),x77354))),f326(x77352,x77354)),f326(f326(f6(a872,x77351),x77352),f326(f296(a872,x77353),f326(a117,x77354))))+P103(f326(f326(f241(a872),x77354),x77353))
% 149.08/148.75 [7788]~P21(x77881,x77882,x77883,f249(f880(x77881,a866)))+~P103(f326(f62(x77882),x77884))+P103(f326(f62(x77881),f326(f306(x77881,x77882,x77883),x77884)))
% 149.08/148.75 [7900]P103(f326(f326(f328(f873(x79001)),f326(f326(f147(x79001),x79002),x79003)),f157(x79001,x79004)))+~P103(f326(f326(f328(f873(x79001)),x79003),f157(x79001,x79004)))+~P103(f326(f326(f328(x79001),x79002),x79004))
% 149.08/148.75 [7991]~E(f326(f305(x79913,x79911,x79914),f249(f880(x79913,a866))),f249(f880(x79911,a866)))+P103(f326(f62(x79911),x79912))+~P103(f326(f62(x79913),f326(f306(x79913,x79911,x79914),x79912)))
% 149.08/148.75 [8087]~P21(x80871,x80873,x80874,x80872)+P103(f326(f62(x80871),x80872))+~P103(f326(f62(x80873),f326(f305(x80871,x80873,x80874),x80872)))
% 149.08/148.75 [8108]~E(x81082,x81083)+P103(f326(f326(f328(f879(x81081,x81081)),f326(f326(f261(x81081,x81081),x81082),x81083)),f258(x81081,x81084)))+~P103(f326(f326(f328(x81081),x81082),x81084))
% 149.08/148.75 [8146]~P72(x81461)+E(f326(f326(f81(x81461),f326(f326(f6(a872,x81461),x81462),f297(a872,x81463,x81464))),f326(x81462,f326(a117,x81464))),f326(f326(f6(a872,x81461),x81462),f297(a872,x81463,f326(a117,x81464))))+P103(f326(f326(f241(a872),f326(a117,x81464)),x81463))
% 149.08/148.75 [8210]P103(f326(x82101,x82102))+~P103(f326(x82101,f326(f326(f161(x82103),x82104),f689(x82101,x82104,x82103))))+~P103(f326(f326(f328(x82103),x82102),f326(f168(x82103),x82104)))
% 149.08/148.75 [8350]~P103(f326(f326(f328(x83501),x83502),f315(x83501,x83504)))+P103(f326(f326(f328(f873(x83501)),f326(f326(f147(x83501),x83502),x83503)),f315(f873(x83501),f153(x83501,x83504))))+~P103(f326(f326(f328(f873(x83501)),x83503),f315(f873(x83501),f153(x83501,x83504))))
% 149.08/148.75 [8363]~P21(x83632,x83633,x83634,f570(x83634,x83633,x83632,x83631))+P21(x83632,x83633,x83634,f41(f880(x83632,a866),x83631))+E(x83631,f190(f880(f880(x83632,a866),a866)))
% 149.08/148.75 [8636]E(x86361,x86362)+~P103(f326(f326(f328(f879(x86363,x86363)),f326(f326(f261(x86363,x86363),x86361),x86362)),f302(x86363,x86364)))+P103(f326(f326(f328(x86363),x86361),f326(f259(x86363,x86363),x86364)))
% 149.08/148.75 [8918]P21(x89182,x89183,x89184,f41(f880(x89182,a866),x89181))+E(x89181,f190(f880(f880(x89182,a866),a866)))+P103(f326(f326(f328(f880(x89182,a866)),f570(x89184,x89183,x89182,x89181)),x89181))
% 149.08/148.75 [9055]P103(f326(f62(x90551),x90552))+~P103(f326(f62(x90554),f326(f305(x90551,x90554,x90553),x90552)))+P103(f326(f326(f328(x90551),f455(x90553,x90554,x90552,x90551)),x90552))
% 149.08/148.75 [9147]~P26(x91472)+E(f326(f326(f65(x91471,x91472,f326(f326(f8(x91472,f880(x91472,x91472),x91471),f115(x91472)),x91473)),f190(x91472)),x91474),f326(f326(f42(x91471,x91472),x91474),x91473))+~P103(f326(f62(x91471),x91474))
% 149.08/148.75 [9148]~P26(x91482)+E(f326(f326(f65(x91481,x91482,f326(f326(f8(x91482,f880(x91482,x91482),x91481),f106(x91482)),x91483)),f249(x91482)),x91484),f326(f326(f43(x91481,x91482),x91484),x91483))+~P103(f326(f62(x91481),x91484))
% 149.08/148.75 [9231]P103(f326(x92311,x92312))+~P103(f326(x92311,f326(f326(f161(x92313),x92314),f759(x92312,x92311,x92314,x92313))))+~P103(f326(f326(f328(x92313),x92312),f326(f168(x92313),x92314)))
% 149.08/148.75 [9251]E(x92511,x92512)+~P103(f326(f326(f328(f879(x92513,x92513)),f326(f326(f261(x92513,x92513),x92511),x92512)),f302(x92513,x92514)))+P103(f326(f326(f328(f879(x92513,x92513)),f326(f326(f261(x92513,x92513),x92511),x92512)),f326(f326(f283(x92513,x92513,x92513),x92514),f302(x92513,x92514))))
% 149.08/148.75 [9300]~E(f326(f191(f873(x93001)),x93002),f326(f191(f873(x93001)),x93003))+~P103(f326(f326(f328(f879(f873(x93001),f873(x93001))),f326(f326(f261(f873(x93001),f873(x93001)),x93002),x93003)),f143(x93001,x93004)))+P103(f326(f326(f328(f879(f873(x93001),f873(x93001))),f326(f326(f261(f873(x93001),f873(x93001)),x93002),x93003)),f141(x93001,x93004)))
% 149.08/148.75 [9530]P31(x95301,f326(f326(f18(x95301,a866,a866),f326(f326(f8(a866,f880(a866,a866),x95301),a325),f326(f326(f8(a866,a866,x95301),a321),x95302))),f326(a323,x95303)),x95304)+~P103(f326(x95302,x95303))+~P35(x95301,x95302,f326(f326(f147(x95301),x95303),x95304))
% 149.08/148.75 [9691]~P31(x96911,f326(f326(f18(x96911,a866,a866),f326(f326(f8(a866,f880(a866,a866),x96911),a325),f326(f326(f8(a866,a866,x96911),a321),x96912))),f326(a323,x96913)),x96914)+~P103(f326(x96912,x96913))+P35(x96911,x96912,f326(f326(f147(x96911),x96913),x96914))
% 149.08/148.75 [9695]~P35(x96951,x96952,x96954)+~P31(x96951,f326(f326(f18(x96951,a866,a866),f326(f326(f8(a866,f880(a866,a866),x96951),a325),f326(f326(f8(a866,a866,x96951),a321),x96952))),f326(a323,x96953)),x96954)+P35(x96951,x96952,f326(f326(f147(x96951),x96953),x96954))
% 149.08/148.75 [9732]~P65(x97321)+E(f326(f326(f6(a872,x97321),f326(f326(f18(a872,x97321,x97321),f326(f326(f8(x97321,f880(x97321,x97321),a872),f22(x97321)),x97322)),f326(f326(f8(a872,x97321,a872),x97322),f326(f326(f7(a872,a872,a872),f81(a872)),f79(a872))))),f297(a872,x97323,x97324)),f2(x97321))+P103(f326(f326(f240(a872),x97323),x97324))
% 149.08/148.75 [9974]~P37(x99742,x99744)+~P21(x99742,x99741,x99743,f249(f880(x99742,a866)))+P37(x99741,f326(f305(f879(x99742,x99742),f879(x99741,x99741),f266(x99742,x99741,x99742,x99741,x99743,x99743)),x99744))
% 149.08/148.75 [10135]~E(f326(f191(f873(x101351)),x101353),f326(f191(f873(x101351)),x101352))+P103(f326(f326(f328(f879(f873(x101351),f873(x101351))),f326(f326(f261(f873(x101351),f873(x101351)),x101352),x101353)),f154(x101351,x101354)))+~P103(f326(f326(f265(x101351,x101351,a866),f326(f326(f7(x101351,f880(f879(x101351,x101351),a866),f880(x101351,a866)),f326(f326(f8(f880(x101351,f880(f880(f879(x101351,x101351),a866),a866)),f880(f880(f879(x101351,x101351),a866),f880(x101351,a866)),x101351),f7(x101351,f880(f879(x101351,x101351),a866),a866)),f326(f326(f8(f880(x101351,f879(x101351,x101351)),f880(x101351,f880(f880(f879(x101351,x101351),a866),a866)),x101351),f326(f8(f879(x101351,x101351),f880(f880(f879(x101351,x101351),a866),a866),x101351),f328(f879(x101351,x101351)))),f261(x101351,x101351)))),x101354)),f678(x101354,x101353,x101352,x101351)))
% 149.08/148.75 [5969]~E(x59694,x59692)+P103(f326(x59691,x59692))+P103(f326(f326(f197(f33(x59691,x59693)),x59692),x59694))
% 149.08/148.75 [6062]~P56(x60621)+~E(x60622,f2(x60621))+E(f326(f326(f39(x60621),f326(f326(f82(x60621),x60622),x60623)),f326(f326(f82(x60621),x60622),x60624)),f2(x60621))
% 149.08/148.75 [6100]E(x61001,f118(x61002))+E(x61003,f326(f326(f22(a872),f326(f191(f873(x61002)),x61001)),f79(a872)))+E(f140(x61002,f326(f326(f155(x61002,x61001),x61003),x61004)),f140(x61002,x61001))
% 149.08/148.75 [6128]E(x61281,x61282)+P103(f326(x61283,x61282))+~P103(f326(f326(f326(f304(x61284),x61281),x61283),x61282))
% 149.08/148.75 [6144]~P72(x61441)+~P103(f326(f133(x61442),x61444))+E(f326(f162(x61441),f326(f326(f150(x61442,x61441),x61443),x61444)),f326(f326(f6(x61442,x61441),x61443),f326(f168(x61442),x61444)))
% 149.08/148.75 [6167]~P73(x61672)+~P103(f326(f62(x61671),x61674))+E(f326(f326(f9(x61671,x61672),f326(f16(x61672,x61671),x61673)),x61674),f326(f326(f251(x61672),x61673),f326(f38(x61671),x61674)))
% 149.08/148.75 [6221]~P59(x62212)+E(x62211,f2(x62212))+E(f326(f326(f284(x62212),f326(f326(f82(x62212),x62213),x62211)),f326(f326(f82(x62212),x62214),x62211)),f326(f326(f284(x62212),x62213),x62214))
% 149.08/148.75 [6222]~P59(x62222)+E(x62221,f2(x62222))+E(f326(f326(f284(x62222),f326(f326(f82(x62222),x62221),x62223)),f326(f326(f82(x62222),x62221),x62224)),f326(f326(f284(x62222),x62223),x62224))
% 149.08/148.75 [6223]~P56(x62232)+E(x62231,f2(x62232))+E(f326(f326(f39(x62232),f326(f326(f82(x62232),x62233),x62231)),f326(f326(f82(x62232),x62234),x62231)),f326(f326(f39(x62232),x62233),x62234))
% 149.08/148.75 [6225]~P56(x62252)+E(x62251,f2(x62252))+E(f326(f326(f39(x62252),f326(f326(f82(x62252),x62251),x62253)),f326(f326(f82(x62252),x62251),x62254)),f326(f326(f39(x62252),x62253),x62254))
% 149.08/148.75 [6288]P103(f326(x62881,x62882))+~E(x62883,f326(f326(f81(a872),x62884),x62882))+~P103(f326(x62881,f326(f326(f22(a872),x62883),x62884)))
% 149.08/148.75 [6370]P23(x63701,x63702,x63703)+P29(x63701,f604(x63703,x63702,x63701),x63704)+~P103(f326(f326(f328(f871(x63701)),x63704),x63702))
% 149.08/148.75 [6372]~P103(f326(x63722,x63723))+~P103(f326(f156(x63721,x63722),x63724))+P103(f326(f156(x63721,x63722),f326(f326(f147(x63721),x63723),x63724)))
% 149.08/148.75 [6412]E(x64121,f118(x64122))+~E(x64123,f326(f326(f22(a872),f326(f191(f873(x64122)),x64121)),f79(a872)))+E(f140(x64122,f326(f326(f155(x64122,x64121),x64123),x64124)),x64124)
% 149.08/148.75 [6435]~P63(x64351)+~P103(f326(f326(f240(x64351),x64352),x64354))+P103(f326(f326(f240(x64351),x64352),f326(f326(f115(x64351),x64353),x64354)))
% 149.08/148.75 [6436]~P63(x64361)+~P103(f326(f326(f240(x64361),x64362),x64363))+P103(f326(f326(f240(x64361),x64362),f326(f326(f115(x64361),x64363),x64364)))
% 149.08/148.75 [6438]~P105(x64381)+~P103(f326(f326(f240(x64381),x64382),x64384))+P103(f326(f326(f240(x64381),x64382),f326(f326(f239(x64381),x64383),x64384)))
% 149.08/148.75 [6440]~P105(x64401)+~P103(f326(f326(f240(x64401),x64402),x64403))+P103(f326(f326(f240(x64401),x64402),f326(f326(f239(x64401),x64403),x64404)))
% 149.08/148.75 [6441]~P63(x64411)+~P103(f326(f326(f241(x64411),x64412),x64414))+P103(f326(f326(f241(x64411),x64412),f326(f326(f115(x64411),x64413),x64414)))
% 149.08/148.75 [6442]~P63(x64421)+~P103(f326(f326(f241(x64421),x64422),x64423))+P103(f326(f326(f241(x64421),x64422),f326(f326(f115(x64421),x64423),x64424)))
% 149.08/148.75 [6444]~P105(x64441)+~P103(f326(f326(f241(x64441),x64442),x64444))+P103(f326(f326(f241(x64441),x64442),f326(f326(f239(x64441),x64443),x64444)))
% 149.08/148.75 [6446]~P105(x64461)+~P103(f326(f326(f241(x64461),x64462),x64463))+P103(f326(f326(f241(x64461),x64462),f326(f326(f239(x64461),x64463),x64464)))
% 149.08/148.75 [6532]~E(f326(f326(f161(x65321),x65322),x65323),x65324)+E(f326(f326(f155(x65321,x65322),x65323),x65324),x65322)+~P103(f326(f326(f241(a872),x65323),f326(f191(f873(x65321)),x65322)))
% 149.08/148.75 [6549]E(x65491,x65492)+P103(f326(x65493,x65491))+~P103(f326(f326(f197(f33(x65493,x65494)),x65491),x65492))
% 149.08/148.75 [6573]P103(f326(x65731,x65732))+~P103(f326(x65733,x65732))+~P103(f326(f326(f240(f880(x65734,a866)),x65733),x65731))
% 149.08/148.75 [6605]~E(f326(f326(f155(x66051,x66052),x66053),x66054),x66052)+E(f326(f326(f161(x66051),x66052),x66053),x66054)+~P103(f326(f326(f241(a872),x66053),f326(f191(f873(x66051)),x66052)))
% 149.08/148.75 [6620]~P103(f326(f156(x66201,x66202),x66204))+~P103(f326(f156(x66201,x66202),x66203))+P103(f326(f156(x66201,x66202),f326(f326(f126(x66201),x66203),x66204)))
% 149.08/148.75 [6716]P29(x67161,x67162,x67163)+~P29(x67161,f326(a117,x67162),f605(x67162,x67164,x67161))+~P103(f326(f326(f328(f871(x67161)),x67163),x67164))
% 149.08/148.75 [6725]E(x67251,f190(f880(x67252,a866)))+E(x67253,f190(f880(x67254,a866)))+~E(f326(f326(f263(x67254,x67252),x67253),f326(f16(f880(x67252,a866),x67254),x67251)),f190(f880(f879(x67254,x67252),a866)))
% 149.08/148.75 [6744]E(x67441,x67442)+P103(f326(f326(f328(x67443),x67441),x67444))+~P103(f326(f326(f328(x67443),x67441),f326(f326(f304(x67443),x67442),x67444)))
% 149.08/148.75 [6761]~P105(x67611)+P103(f326(f326(f240(x67611),x67612),x67613))+~P103(f326(f326(f240(x67611),x67612),f326(f326(f238(x67611),x67614),x67613)))
% 149.08/148.75 [6763]~P105(x67631)+P103(f326(f326(f240(x67631),x67632),x67633))+~P103(f326(f326(f240(x67631),x67632),f326(f326(f238(x67631),x67633),x67634)))
% 149.08/148.75 [6765]~P100(x67651)+P103(f326(f326(f240(x67651),x67652),x67653))+~P103(f326(f326(f240(x67651),x67652),f326(f326(f106(x67651),x67654),x67653)))
% 149.08/148.75 [6767]~P100(x67671)+P103(f326(f326(f240(x67671),x67672),x67673))+~P103(f326(f326(f240(x67671),x67672),f326(f326(f106(x67671),x67673),x67674)))
% 149.08/148.75 [6768]~P105(x67681)+P103(f326(f326(f241(x67681),x67682),x67683))+~P103(f326(f326(f241(x67681),x67682),f326(f326(f238(x67681),x67684),x67683)))
% 149.08/148.75 [6769]~P105(x67691)+P103(f326(f326(f241(x67691),x67692),x67693))+~P103(f326(f326(f241(x67691),x67692),f326(f326(f238(x67691),x67693),x67694)))
% 149.08/148.75 [6791]~E(f326(f326(f161(x67911),x67913),x67914),x67912)+P103(f326(f326(f328(x67911),x67912),f326(f168(x67911),x67913)))+~P103(f326(f326(f241(a872),x67914),f326(f191(f873(x67911)),x67913)))
% 149.08/148.75 [6802]~P105(x68021)+~P28(x68021,f326(f326(f147(x68021),x68022),f326(f326(f147(x68021),x68023),x68024)))+P103(f326(f326(f240(x68021),x68022),x68023))
% 149.08/148.75 [6944]~P31(x69442,x69441,x69443)+P103(f326(x69441,f326(f326(f161(x69442),x69443),x69444)))+~P103(f326(f326(f241(a872),x69444),f326(f191(f873(x69442)),x69443)))
% 149.08/148.75 [6963]E(x69631,f2(a1))+E(f326(f326(f39(a1),x69632),x69631),x69633)+~P103(f326(f49(x69632,x69631),f326(f326(f261(a1,a1),x69633),x69634)))
% 149.08/148.75 [6984]E(f45(a1,x69842,x69841),x69843)+E(x69841,f2(a1))+~P103(f326(f49(x69842,x69841),f326(f326(f261(a1,a1),x69844),x69843)))
% 149.08/148.75 [7105]P103(f326(f326(f328(x71051),x71052),x71053))+~P103(f326(f326(f328(x71051),x71052),x71054))+~P103(f326(f326(f241(f880(x71051,a866)),x71054),x71053))
% 149.08/148.75 [7106]P103(f326(f326(f328(x71061),x71062),x71063))+~P103(f326(f326(f328(x71061),x71062),x71064))+~P103(f326(f326(f240(f880(x71061,a866)),x71064),x71063))
% 149.08/148.75 [7214]P33(x72141,x72142,x72143)+~P103(f326(x72142,f326(f326(f161(x72141),x72143),x72144)))+~P103(f326(f326(f241(a872),x72144),f326(f191(f873(x72141)),x72143)))
% 149.08/148.75 [7325]~P106(x73252)+~P103(f326(f326(f241(f880(x73251,x73252)),x73253),x73254))+P103(f326(f326(f240(f880(x73251,x73252)),x73253),x73254))
% 149.08/148.75 [7412]~P20(x74121,x74122,x74124)+P20(x74121,x74122,f326(f326(f304(f871(x74121)),x74123),x74124))+~P20(x74121,x74122,f326(f326(f304(f871(x74121)),x74123),f190(f880(f871(x74121),a866))))
% 149.08/148.75 [7457]~P103(f326(f326(f328(x74571),x74572),x74574))+P103(f326(f326(f328(x74571),x74572),f40(f880(x74571,a866),x74573)))+~P103(f326(f326(f328(f880(x74571,a866)),x74574),x74573))
% 149.08/148.75 [7469]P29(x74691,x74692,x74693)+P103(f326(f326(f328(f871(x74691)),f605(x74692,x74694,x74691)),x74694))+~P103(f326(f326(f328(f871(x74691)),x74693),x74694))
% 149.08/148.75 [7489]~P82(x74891)+~P103(f326(f326(f240(x74891),x74893),x74894))+P103(f326(f326(f240(x74891),f326(f326(f81(x74891),x74892),x74893)),f326(f326(f81(x74891),x74892),x74894)))
% 149.08/148.75 [7490]~P83(x74901)+~P103(f326(f326(f240(x74901),x74903),x74904))+P103(f326(f326(f240(x74901),f326(f326(f81(x74901),x74902),x74903)),f326(f326(f81(x74901),x74902),x74904)))
% 149.08/148.75 [7491]~P82(x74911)+~P103(f326(f326(f240(x74911),x74912),x74914))+P103(f326(f326(f240(x74911),f326(f326(f81(x74911),x74912),x74913)),f326(f326(f81(x74911),x74914),x74913)))
% 149.08/148.75 [7492]~P83(x74921)+~P103(f326(f326(f240(x74921),x74922),x74924))+P103(f326(f326(f240(x74921),f326(f326(f81(x74921),x74922),x74923)),f326(f326(f81(x74921),x74924),x74923)))
% 149.08/148.75 [7493]~P82(x74931)+~P103(f326(f326(f241(x74931),x74933),x74934))+P103(f326(f326(f241(x74931),f326(f326(f81(x74931),x74932),x74933)),f326(f326(f81(x74931),x74932),x74934)))
% 149.08/148.75 [7494]~P85(x74941)+~P103(f326(f326(f241(x74941),x74943),x74944))+P103(f326(f326(f241(x74941),f326(f326(f81(x74941),x74942),x74943)),f326(f326(f81(x74941),x74942),x74944)))
% 149.08/148.75 [7495]~P82(x74951)+~P103(f326(f326(f241(x74951),x74952),x74954))+P103(f326(f326(f241(x74951),f326(f326(f81(x74951),x74952),x74953)),f326(f326(f81(x74951),x74954),x74953)))
% 149.08/148.75 [7496]~P85(x74961)+~P103(f326(f326(f241(x74961),x74962),x74964))+P103(f326(f326(f241(x74961),f326(f326(f81(x74961),x74962),x74963)),f326(f326(f81(x74961),x74964),x74963)))
% 149.08/148.75 [7505]~P123(x75051)+~P94(x75051)+E(f326(f326(f22(x75051),f326(f326(f82(x75051),x75052),f326(f108(x75051),x75053))),f326(f326(f82(x75051),x75054),f326(f108(x75051),x75053))),f326(f326(f82(x75051),f326(f326(f22(x75051),x75052),x75054)),f326(f108(x75051),x75053)))
% 149.08/148.75 [7506]~P139(x75061)+~P94(x75061)+E(f326(f326(f81(x75061),f326(f326(f82(x75061),x75062),f326(f108(x75061),x75063))),f326(f326(f82(x75061),x75064),f326(f108(x75061),x75063))),f326(f326(f82(x75061),f326(f326(f81(x75061),x75062),x75064)),f326(f108(x75061),x75063)))
% 149.08/148.75 [7541]~P72(x75411)+E(f326(f326(f81(x75411),f326(x75412,x75413)),f326(f326(f6(a872,x75411),x75412),f297(a872,f326(a117,x75413),x75414))),f326(f326(f6(a872,x75411),x75412),f297(a872,x75413,x75414)))+~P103(f326(f326(f240(a872),x75413),x75414))
% 149.08/148.75 [7552]~P21(x75522,x75521,x75523,f326(f168(x75522),x75524))+~P103(f326(f133(x75522),x75524))+P103(f326(f133(x75521),f326(f326(f150(x75522,x75521),x75523),x75524)))
% 149.08/148.75 [7599]~P103(f326(f326(f240(a872),x75992),x75994))+~P103(f326(f326(f240(a872),x75991),x75993))+P103(f326(f326(f240(a872),f326(f326(f81(a872),x75991),x75992)),f326(f326(f81(a872),x75993),x75994)))
% 149.08/148.75 [7600]~P103(f326(f326(f240(a872),x76002),x76004))+~P103(f326(f326(f240(a872),x76001),x76003))+P103(f326(f326(f240(a872),f326(f326(f82(a872),x76001),x76002)),f326(f326(f82(a872),x76003),x76004)))
% 149.08/148.75 [7603]~P103(f326(f326(f241(a872),x76032),x76034))+~P103(f326(f326(f241(a872),x76031),x76033))+P103(f326(f326(f241(a872),f326(f326(f81(a872),x76031),x76032)),f326(f326(f81(a872),x76033),x76034)))
% 149.08/148.75 [7604]~P103(f326(f326(f240(a1),x76042),x76044))+~P103(f326(f326(f241(a1),x76041),x76043))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x76041),x76042)),f326(f326(f81(a1),x76043),x76044)))
% 149.08/148.75 [7652]P103(f326(f326(f328(x76521),x76522),x76523))+~P103(f326(f326(f328(x76521),x76522),f41(f880(x76521,a866),x76524)))+~P103(f326(f326(f328(f880(x76521,a866)),x76523),x76524))
% 149.08/148.75 [7667]~P103(f326(x76671,f688(x76671,x76673,x76672)))+P103(f326(x76671,f326(f326(f161(x76672),x76673),x76674)))+~P103(f326(f326(f241(a872),x76674),f326(f191(f873(x76672)),x76673)))
% 149.08/148.75 [7672]P103(f326(x76721,x76722))+~P103(f326(f326(f328(x76724),x76722),f326(f168(x76724),x76723)))+P103(f326(f326(f241(a872),f689(x76721,x76723,x76724)),f326(f191(f873(x76724)),x76723)))
% 149.08/148.75 [7692]~P103(f326(f326(f197(x76922),x76923),x76924))+~P103(f326(f326(f197(f33(x76921,x76922)),x76924),x76923))+P103(f326(f326(f197(f33(x76921,x76922)),x76923),x76923))
% 149.08/148.75 [7721]~P106(x77211)+~P103(f326(f326(f241(f880(x77212,x77211)),x77214),x77213))+~P103(f326(f326(f240(f880(x77212,x77211)),x77213),x77214))
% 149.08/148.75 [7765]~P103(f326(x77654,x77652))+~P103(f326(f326(f328(x77651),x77652),x77653))+P103(f326(f326(f328(x77651),x77652),f326(f326(f106(f880(x77651,a866)),x77653),f326(f246(x77651),x77654))))
% 149.08/148.75 [7909]~P103(f326(f326(f328(x79091),x79093),x79094))+~P103(f326(f326(f241(f880(x79091,a866)),x79092),x79094))+P103(f326(f326(f241(f880(x79091,a866)),x79092),f326(f326(f304(x79091),x79093),x79094)))
% 149.08/148.75 [7911]E(f326(f326(f106(f880(x79111,a866)),x79112),x79113),f190(f880(x79111,a866)))+~E(f326(f326(f106(f880(x79111,a866)),f40(f880(x79111,a866),x79114)),x79113),f190(f880(x79111,a866)))+~P103(f326(f326(f328(f880(x79111,a866)),x79112),x79114))
% 149.08/148.75 [7987]P103(f326(f326(f328(x79871),x79872),x79873))+~P103(f326(f326(f240(f880(x79871,a866)),x79873),f326(f326(f304(x79871),x79872),x79874)))+P103(f326(f326(f240(f880(x79871,a866)),x79873),x79874))
% 149.08/148.75 [8009]P103(f326(f326(f328(x80092),f688(x80091,x80093,x80092)),f326(f168(x80092),x80093)))+P103(f326(x80091,f326(f326(f161(x80092),x80093),x80094)))+~P103(f326(f326(f241(a872),x80094),f326(f191(f873(x80092)),x80093)))
% 149.08/148.75 [8017]~P103(f326(f326(f240(f880(x80171,a866)),x80172),x80174))+P103(f326(f326(f240(f880(x80171,a866)),x80172),x80173))+~P103(f326(f326(f240(f880(x80171,a866)),x80174),x80173))
% 149.08/148.75 [8018]~P103(f326(f326(f241(f880(x80181,a866)),x80182),x80184))+~P103(f326(f326(f240(f880(x80181,a866)),x80184),x80183))+P103(f326(f326(f241(f880(x80181,a866)),x80182),x80183))
% 149.08/148.75 [8019]~P103(f326(f326(f240(f880(x80191,a866)),x80192),x80194))+~P103(f326(f326(f241(f880(x80191,a866)),x80194),x80193))+P103(f326(f326(f241(f880(x80191,a866)),x80192),x80193))
% 149.08/148.75 [8020]~P103(f326(f326(f241(f880(x80201,a866)),x80202),x80204))+P103(f326(f326(f241(f880(x80201,a866)),x80202),x80203))+~P103(f326(f326(f241(f880(x80201,a866)),x80204),x80203))
% 149.08/148.75 [8060]~P103(f326(f326(f328(x80601),x80604),x80603))+~P103(f326(f326(f241(f880(x80601,a866)),x80602),f326(f326(f304(x80601),x80604),x80603)))+P103(f326(f326(f241(f880(x80601,a866)),x80602),x80603))
% 149.08/148.75 [8072]~P82(x80721)+P103(f326(f326(f240(x80721),x80722),x80723))+~P103(f326(f326(f240(x80721),f326(f326(f81(x80721),x80724),x80722)),f326(f326(f81(x80721),x80724),x80723)))
% 149.08/148.75 [8074]~P82(x80741)+P103(f326(f326(f240(x80741),x80742),x80743))+~P103(f326(f326(f240(x80741),f326(f326(f81(x80741),x80742),x80744)),f326(f326(f81(x80741),x80743),x80744)))
% 149.08/148.75 [8076]~P82(x80761)+P103(f326(f326(f241(x80761),x80762),x80763))+~P103(f326(f326(f241(x80761),f326(f326(f81(x80761),x80764),x80762)),f326(f326(f81(x80761),x80764),x80763)))
% 149.08/148.75 [8078]~P82(x80781)+P103(f326(f326(f241(x80781),x80782),x80783))+~P103(f326(f326(f241(x80781),f326(f326(f81(x80781),x80782),x80784)),f326(f326(f81(x80781),x80783),x80784)))
% 149.08/148.75 [8126]P103(f326(x81261,x81262))+~E(f326(f326(f134(x81263),f326(f191(f873(x81263)),f173(x81263,x81261,x81264))),x81264),f118(x81263))+~P103(f326(f326(f328(x81263),x81262),f326(f168(x81263),x81264)))
% 149.08/148.75 [8252]P103(f326(x82521,x82522))+~P103(f326(f326(f328(x82523),x82522),f326(f168(x82523),x82524)))+P103(f326(f326(f241(a872),f326(f191(f873(x82523)),f326(f132(x82523,x82521),x82524))),f326(f191(f873(x82523)),x82524)))
% 149.08/148.75 [8380]E(x83801,x83802)+P103(f326(f326(f197(x83803),x83801),f831(x83802,x83801,x83803,x83804)))+~P103(f326(f326(f197(f33(x83804,x83803)),x83801),x83802))
% 149.08/148.75 [8409]~P103(f326(x84094,x84092))+P103(f326(f326(f197(x84091),x84092),f831(x84093,x84092,x84091,x84094)))+~P103(f326(f326(f197(f33(x84094,x84091)),x84092),x84093))
% 149.08/148.75 [8728]~P103(f326(x87281,f777(x87281,x87283,x87282,x87284)))+P103(f326(x87281,f326(f326(f161(x87282),x87283),x87284)))+~P103(f326(f326(f241(a872),x87284),f326(f191(f873(x87282)),x87283)))
% 149.08/148.75 [8752]~P21(x87524,x87523,x87521,f249(f880(x87524,a866)))+E(f326(x87521,f553(x87522,x87521,x87523,x87524)),x87522)+~P103(f326(f326(f328(x87523),x87522),f326(f305(x87524,x87523,x87521),f249(f880(x87524,a866)))))
% 149.08/148.75 [8818]E(f173(x88181,x88182,x88183),f326(f326(f171(x88181),x88184),x88183))+P103(f326(f326(f241(a872),f752(x88182,x88183,x88181,x88184)),x88184))+P103(f326(f326(f241(a872),x88184),f326(f191(f873(x88181)),x88183)))
% 149.08/148.75 [8821]E(f173(x88211,x88212,x88213),f326(f326(f171(x88211),x88214),x88213))+P103(f326(f326(f241(a872),f752(x88212,x88213,x88211,x88214)),x88214))+P103(f326(x88212,f326(f326(f161(x88211),x88213),x88214)))
% 149.08/148.75 [8850]P103(f326(x88501,x88502))+~P103(f326(f326(f328(x88504),x88502),f326(f168(x88504),x88503)))+P103(f326(f326(f241(a872),f759(x88502,x88501,x88503,x88504)),f326(f191(f873(x88504)),x88503)))
% 149.08/148.75 [8853]E(f173(x88531,x88532,x88533),f326(f326(f171(x88531),x88534),x88533))+P103(f326(f326(f241(a872),x88534),f326(f191(f873(x88531)),x88533)))+P103(f326(f326(f241(a872),f752(x88532,x88533,x88531,x88534)),f326(f191(f873(x88531)),x88533)))
% 149.08/148.75 [8860]E(f173(x88601,x88602,x88603),f326(f326(f171(x88601),x88604),x88603))+P103(f326(x88602,f326(f326(f161(x88601),x88603),x88604)))+P103(f326(f326(f241(a872),f752(x88602,x88603,x88601,x88604)),f326(f191(f873(x88601)),x88603)))
% 149.08/148.75 [8887]~P108(x88874)+P103(f326(f326(f328(x88871),f797(x88872,x88873,x88871,x88874)),x88873))+P103(f326(f326(f241(x88874),f2(x88874)),f326(f326(f9(x88871,x88874),x88872),x88873)))
% 149.08/148.75 [8888]~P108(x88884)+P103(f326(f326(f328(x88881),f808(x88882,x88883,x88881,x88884)),x88883))+P103(f326(f326(f240(x88884),f2(x88884)),f326(f326(f9(x88881,x88884),x88882),x88883)))
% 149.08/148.75 [8920]~P103(f326(f62(x89201),x89204))+P103(f326(f326(f328(x89201),f576(x89202,x89203,x89204,x89201)),x89204))+P103(f326(f62(f879(x89201,x89203)),f326(f326(f263(x89201,x89203),x89204),x89202)))
% 149.08/148.75 [8954]P103(f326(f326(f328(x89542),f777(x89541,x89543,x89542,x89544)),f326(f168(x89542),x89543)))+P103(f326(x89541,f326(f326(f161(x89542),x89543),x89544)))+~P103(f326(f326(f241(a872),x89544),f326(f191(f873(x89542)),x89543)))
% 149.08/148.75 [8969]E(x89691,x89692)+P103(f326(f326(f197(f33(x89693,x89694)),f831(x89691,x89692,x89694,x89693)),x89691))+~P103(f326(f326(f197(f33(x89693,x89694)),x89692),x89691))
% 149.08/148.75 [8989]~P103(f326(x89891,x89894))+P103(f326(f326(f197(f33(x89891,x89892)),f831(x89893,x89894,x89892,x89891)),x89893))+~P103(f326(f326(f197(f33(x89891,x89892)),x89894),x89893))
% 149.08/148.75 [9084]P103(f326(f326(f240(a872),x90844),f326(f191(f873(x90842)),f173(x90842,x90843,x90841))))+P103(f326(f326(f241(a872),f754(x90841,x90842,x90843,x90844)),x90844))+~P103(f326(f326(f240(a872),x90844),f326(f191(f873(x90842)),x90841)))
% 149.08/148.75 [9188]~E(f326(f326(f174(x91881,x91882),x91883),f766(x91884,x91883,x91882,x91881)),f326(f326(f174(x91881,x91882),x91884),f766(x91884,x91883,x91882,x91881)))+E(f326(f174(x91881,x91882),x91883),f326(f174(x91881,x91882),x91884))+~E(f326(f168(x91881),f326(f326(f150(f879(x91881,x91882),x91881),f260(x91881,x91882)),x91883)),f326(f168(x91881),f326(f326(f150(f879(x91881,x91882),x91881),f260(x91881,x91882)),x91884)))
% 149.08/148.75 [9234]E(f173(x92341,x92342,x92343),f326(f326(f171(x92341),x92344),x92343))+~P103(f326(x92342,f326(f326(f161(x92341),x92343),f752(x92342,x92343,x92341,x92344))))+P103(f326(f326(f241(a872),x92344),f326(f191(f873(x92341)),x92343)))
% 149.08/148.75 [9238]E(f173(x92381,x92382,x92383),f326(f326(f171(x92381),x92384),x92383))+~P103(f326(x92382,f326(f326(f161(x92381),x92383),f752(x92382,x92383,x92381,x92384))))+P103(f326(x92382,f326(f326(f161(x92381),x92383),x92384)))
% 149.08/148.75 [9245]~P103(f326(f62(x92451),x92453))+~P103(f326(f62(x92452),f326(x92454,f576(x92454,x92452,x92453,x92451))))+P103(f326(f62(f879(x92451,x92452)),f326(f326(f263(x92451,x92452),x92453),x92454)))
% 149.08/148.75 [9253]~P108(x92531)+~P103(f326(f326(f240(x92531),f2(x92531)),f326(x92533,f808(x92533,x92534,x92532,x92531))))+P103(f326(f326(f240(x92531),f2(x92531)),f326(f326(f9(x92532,x92531),x92533),x92534)))
% 149.08/148.75 [9254]~P108(x92541)+~P103(f326(f326(f241(x92541),f2(x92541)),f326(x92543,f797(x92543,x92544,x92542,x92541))))+P103(f326(f326(f241(x92541),f2(x92541)),f326(f326(f9(x92542,x92541),x92543),x92544)))
% 149.08/148.75 [9260]~E(f326(f191(f873(x92604)),x92602),f326(f191(f873(x92604)),x92603))+P103(f326(f326(f328(f879(f873(x92604),f873(x92604))),f326(f326(f261(f873(x92604),f873(x92604)),x92603),x92602)),f154(x92604,x92601)))+P103(f326(f326(f241(a872),f696(x92601,x92602,x92603,x92604)),f326(f191(f873(x92604)),x92603)))
% 149.08/148.75 [9314]~P103(f326(x93143,f326(f326(f161(x93142),x93144),f754(x93144,x93142,x93143,x93141))))+P103(f326(f326(f240(a872),x93141),f326(f191(f873(x93142)),f173(x93142,x93143,x93144))))+~P103(f326(f326(f240(a872),x93141),f326(f191(f873(x93142)),x93144)))
% 149.08/148.75 [9391]E(f326(f326(f171(x93911),f697(x93912,x93913,x93914,x93911)),x93913),f326(f326(f171(x93911),f697(x93912,x93913,x93914,x93911)),x93914))+~P103(f326(f326(f328(f879(f873(x93911),f873(x93911))),f326(f326(f261(f873(x93911),f873(x93911)),x93914),x93913)),f143(x93911,x93912)))+P103(f326(f326(f241(a872),f326(f191(f873(x93911)),x93914)),f326(f191(f873(x93911)),x93913)))
% 149.08/148.75 [9445]~P103(f326(f326(f241(a872),f2(a872)),x94453))+~P103(f326(f326(f241(a872),x94454),x94451))+P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),x94451),f45(a872,x94452,x94453))),x94454)),f326(f326(f82(a872),x94451),x94453)))
% 149.08/148.75 [9636]~P106(x96362)+~P103(f326(f326(f240(x96362),f326(x96363,f491(x96364,x96363,x96361,x96362))),f326(x96364,f491(x96364,x96363,x96361,x96362))))+P103(f326(f326(f240(f880(x96361,x96362)),x96363),x96364))
% 149.08/148.75 [9739]~P65(x97391)+E(f326(f326(f6(a872,x97391),f326(f326(f18(a872,x97391,x97391),f326(f326(f8(x97391,f880(x97391,x97391),a872),f22(x97391)),x97392)),f326(f326(f8(a872,x97391,a872),x97392),f326(f326(f7(a872,a872,a872),f81(a872)),f79(a872))))),f297(a872,x97393,x97394)),f326(f326(f22(x97391),f326(x97392,x97393)),f326(x97392,f326(f326(f81(a872),x97394),f79(a872)))))+~P103(f326(f326(f240(a872),x97393),x97394))
% 149.08/148.75 [6795]E(f326(f326(f126(x67951),x67952),x67953),x67954)+~E(x67953,f326(f326(f134(x67951),f326(f191(f873(x67951)),x67952)),x67954))+~E(f326(f326(f171(x67951),f326(f191(f873(x67951)),x67952)),x67954),x67952)
% 149.08/148.75 [6850]~P60(x68502)+E(x68501,f2(x68502))+E(f326(f326(f284(x68502),f326(f326(f251(x68502),x68503),x68504)),f326(f326(f251(x68502),x68501),x68504)),f326(f326(f251(x68502),f326(f326(f284(x68502),x68503),x68501)),x68504))
% 149.08/148.75 [6986]~E(f326(f191(f873(x69861)),x69863),f326(f191(f873(x69862)),x69864))+~P103(f326(f133(x69861),x69863))+E(f180(x69861,x69862,f326(f174(x69861,x69862),f326(f326(f178(x69861,x69862),x69863),x69864))),f326(f168(x69861),x69863))
% 149.08/148.75 [7005]~P100(x70051)+~P103(f326(f326(f240(x70051),x70053),x70054))+P103(f326(f326(f240(x70051),f326(f326(f106(x70051),x70052),x70053)),x70054))
% 149.08/148.75 [7006]~P100(x70061)+~P103(f326(f326(f240(x70061),x70062),x70064))+P103(f326(f326(f240(x70061),f326(f326(f106(x70061),x70062),x70063)),x70064))
% 149.08/148.75 [7008]~P105(x70081)+~P103(f326(f326(f240(x70081),x70083),x70084))+P103(f326(f326(f240(x70081),f326(f326(f238(x70081),x70082),x70083)),x70084))
% 149.08/148.75 [7010]~P105(x70101)+~P103(f326(f326(f240(x70101),x70102),x70104))+P103(f326(f326(f240(x70101),f326(f326(f238(x70101),x70102),x70103)),x70104))
% 149.08/148.75 [7011]~P100(x70111)+~P103(f326(f326(f241(x70111),x70113),x70114))+P103(f326(f326(f241(x70111),f326(f326(f106(x70111),x70112),x70113)),x70114))
% 149.08/148.75 [7012]~P100(x70121)+~P103(f326(f326(f241(x70121),x70122),x70124))+P103(f326(f326(f241(x70121),f326(f326(f106(x70121),x70122),x70123)),x70124))
% 149.08/148.75 [7014]~P105(x70141)+~P103(f326(f326(f241(x70141),x70143),x70144))+P103(f326(f326(f241(x70141),f326(f326(f238(x70141),x70142),x70143)),x70144))
% 149.08/148.75 [7016]~P105(x70161)+~P103(f326(f326(f241(x70161),x70162),x70164))+P103(f326(f326(f241(x70161),f326(f326(f238(x70161),x70162),x70163)),x70164))
% 149.08/148.75 [7036]~P103(f326(x70363,x70364))+~P103(f326(x70362,x70364))+P103(f326(f326(f326(f106(f880(x70361,a866)),x70362),x70363),x70364))
% 149.08/148.75 [7160]P20(x71601,x71602,x71603)+~P20(x71601,x71604,x71603)+~P103(f326(f326(f240(f880(f871(x71601),a866)),x71604),x71602))
% 149.08/148.75 [7161]P20(x71611,x71612,x71613)+~P20(x71611,x71612,x71614)+~P103(f326(f326(f240(f880(f871(x71611),a866)),x71613),x71614))
% 149.08/148.75 [7531]~P72(x75311)+E(f326(f326(f81(x75311),f326(x75312,x75313)),f326(f326(f6(a872,x75311),x75312),f326(f296(a872,f326(a117,x75313)),x75314))),f326(f326(f6(a872,x75311),x75312),f326(f296(a872,x75313),x75314)))+~P103(f326(f326(f241(a872),x75313),x75314))
% 149.08/148.75 [7560]~P105(x75601)+P103(f326(f326(f240(x75601),x75602),x75603))+~P103(f326(f326(f240(x75601),f326(f326(f239(x75601),x75604),x75602)),x75603))
% 149.08/148.75 [7562]~P105(x75621)+P103(f326(f326(f240(x75621),x75622),x75623))+~P103(f326(f326(f240(x75621),f326(f326(f239(x75621),x75622),x75624)),x75623))
% 149.08/148.75 [7564]~P63(x75641)+P103(f326(f326(f240(x75641),x75642),x75643))+~P103(f326(f326(f240(x75641),f326(f326(f115(x75641),x75644),x75642)),x75643))
% 149.08/148.75 [7566]~P63(x75661)+P103(f326(f326(f240(x75661),x75662),x75663))+~P103(f326(f326(f240(x75661),f326(f326(f115(x75661),x75662),x75664)),x75663))
% 149.08/148.75 [7567]~P105(x75671)+P103(f326(f326(f241(x75671),x75672),x75673))+~P103(f326(f326(f241(x75671),f326(f326(f239(x75671),x75674),x75672)),x75673))
% 149.08/148.75 [7568]~P105(x75681)+P103(f326(f326(f241(x75681),x75682),x75683))+~P103(f326(f326(f241(x75681),f326(f326(f239(x75681),x75682),x75684)),x75683))
% 149.08/148.75 [7644]~P103(f326(f326(f328(x76441),x76442),x76444))+P103(f326(f326(f328(x76441),x76442),x76443))+P103(f326(f326(f328(x76441),x76442),f326(f326(f22(f880(x76441,a866)),x76444),x76443)))
% 149.08/148.75 [7727]P103(f326(x77271,x77272))+P103(f326(x77273,x77272))+~P103(f326(f326(f326(f115(f880(x77274,a866)),x77273),x77271),x77272))
% 149.08/148.75 [7737]~P103(f326(f326(f328(x77371),x77372),x77374))+~P103(f326(f326(f328(x77371),x77372),x77373))+P103(f326(f326(f328(x77371),x77372),f326(f326(f106(f880(x77371,a866)),x77373),x77374)))
% 149.08/148.75 [7789]~P63(x77891)+~P103(f326(f62(x77891),x77894))+E(f326(f326(f65(x77891,x77891,f115(x77891)),x77892),f326(f326(f304(x77891),x77893),x77894)),f326(f326(f115(x77891),x77893),f326(f326(f65(x77891,x77891,f115(x77891)),x77892),x77894)))
% 149.08/148.75 [7790]~P100(x77901)+~P103(f326(f62(x77901),x77904))+E(f326(f326(f65(x77901,x77901,f106(x77901)),x77902),f326(f326(f304(x77901),x77903),x77904)),f326(f326(f106(x77901),x77903),f326(f326(f65(x77901,x77901,f106(x77901)),x77902),x77904)))
% 149.08/148.75 [7791]~P105(x77911)+~P103(f326(f62(x77911),x77914))+E(f326(f326(f65(x77911,x77911,f238(x77911)),x77912),f326(f326(f304(x77911),x77913),x77914)),f326(f326(f238(x77911),x77913),f326(f326(f65(x77911,x77911,f238(x77911)),x77912),x77914)))
% 149.08/148.75 [7792]~P105(x77921)+~P103(f326(f62(x77921),x77924))+E(f326(f326(f65(x77921,x77921,f239(x77921)),x77922),f326(f326(f304(x77921),x77923),x77924)),f326(f326(f239(x77921),x77923),f326(f326(f65(x77921,x77921,f239(x77921)),x77922),x77924)))
% 149.08/148.75 [7793]~P123(x77931)+~P94(x77931)+E(f326(f326(f22(x77931),f326(f326(f82(x77931),f326(f108(x77931),x77932)),x77933)),f326(f326(f82(x77931),f326(f108(x77931),x77932)),x77934)),f326(f326(f82(x77931),f326(f108(x77931),x77932)),f326(f326(f22(x77931),x77933),x77934)))
% 149.08/148.75 [7794]~P139(x77941)+~P94(x77941)+E(f326(f326(f81(x77941),f326(f326(f82(x77941),f326(f108(x77941),x77942)),x77943)),f326(f326(f82(x77941),f326(f108(x77941),x77942)),x77944)),f326(f326(f82(x77941),f326(f108(x77941),x77942)),f326(f326(f81(x77941),x77943),x77944)))
% 149.08/148.75 [7907]E(x79071,x79072)+P103(f326(f326(f328(x79073),x79071),f326(f168(x79073),x79074)))+~P103(f326(f326(f328(x79073),x79071),f326(f168(x79073),f326(f326(f147(x79073),x79072),x79074))))
% 149.08/148.75 [7932]~P58(x79321)+~E(f326(f191(f873(x79322)),x79323),f326(f191(f873(x79321)),f56(x79321)))+E(f326(f326(f174(x79321,x79322),f326(f326(f178(x79321,x79322),f56(x79321)),x79323)),x79324),f326(f233(x79322),f750(x79324,x79323,x79322,x79321)))
% 149.08/148.75 [8085]P50(x80851,x80852,x80853)+~P50(x80851,x80852,x80854)+~P103(f326(f326(f240(f880(f879(x80851,x80852),a866)),x80853),x80854))
% 149.08/148.75 [8129]P103(f326(f326(f328(x81291),x81292),x81293))+P103(f326(f326(f328(x81291),x81292),x81294))+~P103(f326(f326(f328(x81291),x81292),f326(f326(f115(f880(x81291,a866)),x81294),x81293)))
% 149.08/148.75 [8140]~P47(x81401,x81404,x81403)+~P103(f326(f326(f328(x81401),x81402),x81404))+P103(f326(f326(f328(f879(x81401,x81401)),f326(f326(f261(x81401,x81401),x81402),x81402)),x81403))
% 149.08/148.75 [8155]~P103(f326(f62(x81552),x81554))+~P103(f326(f62(x81551),x81553))+P103(f326(f62(f879(x81551,x81552)),f326(f326(f263(x81551,x81552),x81553),f326(f16(f880(x81552,a866),x81551),x81554))))
% 149.08/148.75 [8156]~P103(f326(f326(f328(x81561),x81562),x81564))+~P103(f326(f326(f240(f880(x81561,a866)),x81563),x81564))+P103(f326(f326(f240(f880(x81561,a866)),f326(f326(f304(x81561),x81562),x81563)),x81564))
% 149.08/148.75 [8164]~P73(x81642)+~P142(x81642)+E(f326(f326(f9(x81641,x81642),f326(f326(f8(a872,x81642,x81641),f105(x81642)),x81643)),x81644),f326(f105(x81642),f326(f326(f9(x81641,a872),x81643),x81644)))
% 149.08/148.75 [8165]~P73(x81652)+~P138(x81652)+E(f326(f326(f9(x81651,x81652),f326(f326(f8(a1,x81652,x81651),f107(x81652)),x81653)),x81654),f326(f107(x81652),f326(f326(f9(x81651,a1),x81653),x81654)))
% 149.08/148.75 [8191]E(f326(f326(f22(f880(x81911,a866)),x81912),f326(f326(f22(f880(x81911,a866)),x81913),x81914)),x81914)+~P103(f326(f326(f240(f880(x81911,a866)),x81912),x81913))+~P103(f326(f326(f240(f880(x81911,a866)),x81914),x81912))
% 149.08/148.75 [8286]~P103(f326(f62(x82861),x82864))+E(f326(f326(f22(a872),f326(f326(f6(x82861,a872),x82862),x82863)),f326(f326(f6(x82861,a872),x82862),x82864)),f326(f326(f6(x82861,a872),x82862),f326(f326(f22(f880(x82861,a866)),x82863),x82864)))+~P103(f326(f326(f240(f880(x82861,a866)),x82864),x82863))
% 149.08/148.75 [8444]~P3(x84441,x84444,x84443)+~P103(f326(f326(f328(x84441),x84442),x84444))+P103(f326(f326(f328(x84441),x84442),f326(f280(x84441,x84441,x84443),f326(f326(f304(x84441),x84442),f190(f880(x84441,a866))))))
% 149.08/148.75 [8507]~P103(f326(f326(f240(f880(x85071,a866)),x85072),x85073))+~P103(f326(f326(f240(f880(x85071,a866)),x85072),x85074))+P103(f326(f326(f240(f880(x85071,a866)),x85072),f326(f326(f106(f880(x85071,a866)),x85073),x85074)))
% 149.08/148.75 [8604]E(x86041,f190(f880(x86042,a866)))+P103(f326(f62(x86043),x86044))+~P103(f326(f62(f879(x86043,x86042)),f326(f326(f263(x86043,x86042),x86044),f326(f16(f880(x86042,a866),x86043),x86041))))
% 149.08/148.75 [8605]E(x86051,f190(f880(x86052,a866)))+P103(f326(f62(x86053),x86054))+~P103(f326(f62(f879(x86052,x86053)),f326(f326(f263(x86052,x86053),x86051),f326(f16(f880(x86053,a866),x86052),x86054))))
% 149.08/148.75 [8671]P103(f326(f326(f328(x86711),x86712),f315(x86711,x86713)))+~P103(f326(f326(f328(x86711),x86714),f315(x86711,x86713)))+~P103(f326(f326(f328(f879(x86711,x86711)),f326(f326(f261(x86711,x86711),x86712),x86714)),x86713))
% 149.08/148.75 [8723]~P37(x87231,x87234)+P103(f326(f326(f328(f879(x87231,x87231)),f326(f326(f261(x87231,x87231),x87233),x87232)),f302(x87231,x87234)))+P37(x87231,f326(f326(f304(f879(x87231,x87231)),f326(f326(f261(x87231,x87231),x87232),x87233)),x87234))
% 149.08/148.75 [8724]~P53(x87241,x87244)+P103(f326(f326(f328(f879(x87241,x87241)),f326(f326(f261(x87241,x87241),x87243),x87242)),f302(x87241,x87244)))+P53(x87241,f326(f326(f304(f879(x87241,x87241)),f326(f326(f261(x87241,x87241),x87242),x87243)),x87244))
% 149.08/148.75 [8803]~E(x88032,x88033)+~P103(f326(f326(f328(x88031),x88032),f326(f168(x88031),x88034)))+P103(f326(f326(f328(f879(x88031,x88031)),f326(f326(f261(x88031,x88031),x88032),x88033)),f326(f168(f879(x88031,x88031)),f326(f326(f178(x88031,x88031),x88034),x88034))))
% 149.08/148.75 [8885]~E(x88853,x88854)+P103(f326(f326(f265(x88851,x88851,a866),a323),x88852))+~P103(f326(f326(f328(f879(x88851,x88851)),x88852),f326(f168(f879(x88851,x88851)),f326(f326(f178(x88851,x88851),x88853),x88854))))
% 149.08/148.75 [8911]~P103(f326(x89114,x89112))+P103(f326(f326(f326(f326(a199,x89111),x89112),x89113),f832(x89113,x89112,x89111,x89114)))+~P103(f326(f326(f326(f326(a199,f33(x89114,x89111)),x89112),x89113),x89112))
% 149.08/148.75 [8938]P103(f326(f326(f328(f879(f873(x89381),f873(x89381))),f326(f326(f261(f873(x89381),f873(x89381)),x89382),x89383)),f143(x89381,x89384)))+~E(f326(f326(f171(x89381),f326(f191(f873(x89381)),x89382)),x89383),x89382)+~P103(f326(f326(f241(a872),f326(f191(f873(x89381)),x89382)),f326(f191(f873(x89381)),x89383)))
% 149.08/148.75 [9036]~P103(f326(f62(x90361),x90364))+P103(f326(f326(f328(x90361),f609(x90362,x90363,x90364,x90361)),x90364))+P103(f326(f62(x90363),f326(f326(f42(x90361,f880(x90363,a866)),x90364),x90362)))
% 149.08/148.75 [9037]~P103(f326(f62(x90371),x90374))+P103(f326(f326(f328(x90371),f841(x90372,x90373,x90374,x90371)),x90374))+P103(f326(f62(x90373),f326(f326(f42(x90371,f880(x90373,a866)),x90374),x90372)))
% 149.08/148.75 [9118]P103(f326(f326(f328(f879(x91181,x91181)),x91182),f326(f326(f283(x91181,x91181,x91181),x91183),f302(x91181,x91183))))+~P103(f326(f326(f241(a872),f2(a872)),x91184))+~P103(f326(f326(f328(f879(x91181,x91181)),x91182),f326(f326(f185(f879(x91181,x91181),a866),x91184),x91183)))
% 149.08/148.75 [9126]~P37(x91261,x91262)+~P103(f326(f326(f328(f879(x91261,x91261)),f326(f326(f261(x91261,x91261),x91264),x91263)),x91262))+~P103(f326(f326(f328(f879(x91261,x91261)),f326(f326(f261(x91261,x91261),x91263),x91264)),x91262))
% 149.08/148.75 [9252]~P103(f326(f62(x92521),x92524))+E(f326(f326(f6(x92521,a872),f326(f326(f8(f880(x92522,a866),a872,x92521),f38(x92522)),x92523)),x92524),f326(f38(f879(x92521,x92522)),f326(f326(f263(x92521,x92522),x92524),x92523)))+P103(f326(f326(f328(x92521),f577(x92523,x92522,x92524,x92521)),x92524))
% 149.08/148.75 [9256]~P103(f326(f133(x92561),x92562))+P103(f326(f133(x92561),f326(f326(f155(x92561,x92562),x92563),x92564)))+P103(f326(f326(f328(x92561),x92564),f326(f326(f22(f880(x92561,a866)),f326(f168(x92561),x92562)),f326(f326(f304(x92561),f326(f326(f161(x92561),x92562),x92563)),f190(f880(x92561,a866))))))
% 149.08/148.75 [9272]~P103(f326(f62(x92722),x92723))+~P103(f326(f62(x92721),f326(x92724,f609(x92724,x92721,x92723,x92722))))+P103(f326(f62(x92721),f326(f326(f42(x92722,f880(x92721,a866)),x92723),x92724)))
% 149.08/148.75 [9273]~P103(f326(f62(x92732),x92733))+~P103(f326(f62(x92731),f326(x92734,f841(x92734,x92731,x92733,x92732))))+P103(f326(f62(x92731),f326(f326(f42(x92732,f880(x92731,a866)),x92733),x92734)))
% 149.08/148.75 [9352]~P103(f326(f326(f328(f879(x93521,x93521)),x93522),f326(f326(f283(x93521,x93521,x93521),x93524),f302(x93521,x93524))))+P103(f326(f326(f328(f879(x93521,x93521)),x93522),f326(f326(f283(x93521,x93521,x93521),x93523),f302(x93521,x93523))))+~P103(f326(f326(f240(f880(f879(x93521,x93521),a866)),x93524),x93523))
% 149.08/148.75 [9359]E(f326(f326(f171(x93591),f697(x93594,x93593,x93592,x93591)),x93593),f326(f326(f171(x93591),f697(x93594,x93593,x93592,x93591)),x93592))+~P103(f326(f326(f328(f879(f873(x93591),f873(x93591))),f326(f326(f261(f873(x93591),f873(x93591)),x93592),x93593)),f143(x93591,x93594)))+E(f326(f326(f171(x93591),f326(f191(f873(x93591)),x93592)),x93593),x93592)
% 149.08/148.75 [9376]~P103(f326(f62(x93761),x93764))+E(f326(f326(f6(x93761,a872),f326(f326(f8(f880(x93762,a866),a872,x93761),f38(x93762)),x93763)),x93764),f326(f38(f879(x93761,x93762)),f326(f326(f263(x93761,x93762),x93764),x93763)))+~P103(f326(f62(x93762),f326(x93763,f577(x93763,x93762,x93764,x93761))))
% 149.08/148.75 [9380]~E(f326(f191(f873(x93801)),x93803),f326(f191(f873(x93801)),x93802))+P103(f326(f326(f328(f879(f873(x93801),f873(x93801))),f326(f326(f261(f873(x93801),f873(x93801)),x93802),x93803)),f154(x93801,x93804)))+P103(f326(f326(f328(f879(x93801,x93801)),f678(x93804,x93803,x93802,x93801)),f326(f168(f879(x93801,x93801)),f326(f326(f178(x93801,x93801),x93802),x93803))))
% 149.08/148.75 [9457]~P103(f326(f326(f328(f879(f873(x94571),f873(x94571))),f326(f326(f261(f873(x94571),f873(x94571)),x94572),x94573)),f143(x94571,x94574)))+E(f326(f326(f171(x94571),f326(f191(f873(x94571)),x94572)),x94573),x94572)+P103(f326(f326(f241(a872),f697(x94574,x94573,x94572,x94571)),f326(f326(f238(a872),f326(f191(f873(x94571)),x94572)),f326(f191(f873(x94571)),x94573))))
% 149.08/148.75 [9458]E(f326(f174(x94581,x94582),x94583),f326(f174(x94581,x94582),x94584))+~E(f326(f168(x94581),f326(f326(f150(f879(x94581,x94582),x94581),f260(x94581,x94582)),x94583)),f326(f168(x94581),f326(f326(f150(f879(x94581,x94582),x94581),f260(x94581,x94582)),x94584)))+P103(f326(f326(f328(x94581),f766(x94583,x94584,x94582,x94581)),f326(f168(x94581),f326(f326(f150(f879(x94581,x94582),x94581),f260(x94581,x94582)),x94584))))
% 149.08/148.75 [9474]~P103(f326(x94741,x94744))+P103(f326(f326(f326(f326(a199,f33(x94741,x94742)),f832(x94743,x94744,x94742,x94741)),x94743),x94744))+~P103(f326(f326(f326(f326(a199,f33(x94741,x94742)),x94744),x94743),x94744))
% 149.08/148.75 [9479]~P103(f326(f326(f328(f879(f873(x94791),f873(x94791))),f326(f326(f261(f873(x94791),f873(x94791)),x94792),x94793)),f143(x94791,x94794)))+P103(f326(f326(f241(a872),f326(f191(f873(x94791)),x94792)),f326(f191(f873(x94791)),x94793)))+P103(f326(f326(f241(a872),f697(x94794,x94793,x94792,x94791)),f326(f326(f238(a872),f326(f191(f873(x94791)),x94792)),f326(f191(f873(x94791)),x94793))))
% 149.08/148.75 [9776]~P103(f326(f326(f326(x97761,f526(x97761,x97764,x97763,x97762)),f527(x97761,x97764,x97763,x97762)),f528(x97761,x97764,x97763,x97762)))+P103(f326(f326(f326(x97761,x97762),x97763),x97764))+~P103(f326(f314(f879(f880(a1,f876(f873(a322))),f879(a1,a1)),a312),f326(f326(f261(f880(a1,f876(f873(a322))),f879(a1,a1)),x97762),f326(f326(f261(a1,a1),x97763),x97764))))
% 149.08/148.75 [9855]P103(f326(f326(f326(x98551,x98552),x98553),x98554))+P103(f326(f314(f879(f880(a1,f876(f873(a322))),f879(a1,a1)),a312),f326(f326(f261(f880(a1,f876(f873(a322))),f879(a1,a1)),f526(x98551,x98554,x98553,x98552)),f326(f326(f261(a1,a1),f527(x98551,x98554,x98553,x98552)),f528(x98551,x98554,x98553,x98552)))))+~P103(f326(f314(f879(f880(a1,f876(f873(a322))),f879(a1,a1)),a312),f326(f326(f261(f880(a1,f876(f873(a322))),f879(a1,a1)),x98552),f326(f326(f261(a1,a1),x98553),x98554))))
% 149.08/148.75 [9894]~P103(f326(f326(f328(f879(f873(x98941),f873(x98941))),f326(f326(f261(f873(x98941),f873(x98941)),x98942),x98943)),f143(x98941,x98944)))+E(f326(f326(f171(x98941),f326(f191(f873(x98941)),x98942)),x98943),x98942)+P103(f326(f326(f328(f879(x98941,x98941)),f326(f326(f261(x98941,x98941),f326(f326(f161(x98941),x98942),f697(x98944,x98943,x98942,x98941))),f326(f326(f161(x98941),x98943),f697(x98944,x98943,x98942,x98941)))),x98944))
% 149.08/148.75 [9895]~P103(f326(f326(f328(f879(f873(x98951),f873(x98951))),f326(f326(f261(f873(x98951),f873(x98951)),x98952),x98953)),f143(x98951,x98954)))+P103(f326(f326(f241(a872),f326(f191(f873(x98951)),x98952)),f326(f191(f873(x98951)),x98953)))+P103(f326(f326(f328(f879(x98951,x98951)),f326(f326(f261(x98951,x98951),f326(f326(f161(x98951),x98952),f697(x98954,x98953,x98952,x98951))),f326(f326(f161(x98951),x98953),f697(x98954,x98953,x98952,x98951)))),x98954))
% 149.08/148.75 [9952]~E(f326(f191(f873(x99521)),x99522),f326(f191(f873(x99521)),x99523))+P103(f326(f326(f328(f879(f873(x99521),f873(x99521))),f326(f326(f261(f873(x99521),f873(x99521)),x99522),x99523)),f154(x99521,x99524)))+~P103(f326(f326(f328(f879(x99521,x99521)),f326(f326(f261(x99521,x99521),f326(f326(f161(x99521),x99522),f696(x99524,x99523,x99522,x99521))),f326(f326(f161(x99521),x99523),f696(x99524,x99523,x99522,x99521)))),x99524))
% 149.08/148.75 [10087]~P72(x100871)+~P103(f326(f62(x100872),x100874))+E(f326(f162(x100871),f326(f326(f150(x100872,x100871),x100873),f91(f873(x100872),f326(f326(f18(f873(x100872),a866,a866),f326(f326(f8(a866,f880(a866,a866),f873(x100872)),a324),f326(f326(f7(f873(x100872),f880(x100872,a866),a866),f326(f326(f8(f880(x100872,a866),f880(f880(x100872,a866),a866),f873(x100872)),a323),f168(x100872))),x100874))),f133(x100872))))),f231(x100872,x100871,x100873,x100874))
% 149.08/148.75 [7372]~P59(x73722)+E(x73721,f2(x73722))+E(f326(f326(f284(x73722),f326(f326(f81(x73722),x73723),f326(f326(f82(x73722),x73724),x73721))),x73721),f326(f326(f81(x73722),x73724),f326(f326(f284(x73722),x73723),x73721)))
% 149.08/148.75 [7373]~P56(x73732)+E(x73731,f2(x73732))+E(f326(f326(f39(x73732),f326(f326(f81(x73732),x73733),f326(f326(f82(x73732),x73734),x73731))),x73731),f326(f326(f81(x73732),x73734),f326(f326(f39(x73732),x73733),x73731)))
% 149.08/148.75 [7374]~P56(x73742)+E(x73741,f2(x73742))+E(f326(f326(f39(x73742),f326(f326(f81(x73742),x73743),f326(f326(f82(x73742),x73741),x73744))),x73741),f326(f326(f81(x73742),x73744),f326(f326(f39(x73742),x73743),x73741)))
% 149.08/148.76 [7607]~P60(x76072)+E(x76071,f2(x76072))+E(f326(f326(f284(x76072),f326(f326(f22(x76072),x76073),f326(f326(f82(x76072),x76071),x76074))),x76071),f326(f326(f22(x76072),f326(f326(f284(x76072),x76073),x76071)),x76074))
% 149.08/148.76 [7608]~P59(x76082)+E(x76081,f2(x76082))+E(f326(f326(f284(x76082),f326(f326(f81(x76082),x76083),f326(f326(f82(x76082),x76084),x76081))),x76081),f326(f326(f81(x76082),f326(f326(f284(x76082),x76083),x76081)),x76084))
% 149.08/148.76 [7609]~P60(x76092)+E(x76091,f2(x76092))+E(f326(f326(f284(x76092),f326(f326(f81(x76092),x76093),f326(f326(f82(x76092),x76091),x76094))),x76091),f326(f326(f81(x76092),f326(f326(f284(x76092),x76093),x76091)),x76094))
% 149.08/148.76 [8314]~P103(f326(f156(x83141,x83143),x83144))+~P103(f326(f156(x83141,x83142),x83144))+P103(f326(f156(x83141,f326(f326(f106(f880(x83141,a866)),x83142),x83143)),x83144))
% 149.08/148.76 [8685]~E(f326(f326(f283(x86851,x86851,x86851),x86852),x86854),f190(f880(f879(x86851,x86851),a866)))+~E(f326(f326(f283(x86851,x86851,x86851),x86852),x86853),f190(f880(f879(x86851,x86851),a866)))+E(f326(f326(f283(x86851,x86851,x86851),x86852),f326(f326(f115(f880(f879(x86851,x86851),a866)),x86853),x86854)),f190(f880(f879(x86851,x86851),a866)))
% 149.08/148.76 [8804]~P103(f326(f326(f240(f880(x88041,a866)),x88043),x88044))+~P103(f326(f326(f240(f880(x88041,a866)),x88042),x88044))+P103(f326(f326(f240(f880(x88041,a866)),f326(f326(f115(f880(x88041,a866)),x88042),x88043)),x88044))
% 149.08/148.76 [9182]~P103(f326(f62(x91821),x91824))+~P103(f326(f62(x91821),x91823))+E(f326(f326(f22(a872),f326(f326(f81(a872),f326(f326(f6(x91821,a872),x91822),x91823)),f326(f326(f6(x91821,a872),x91822),x91824))),f326(f326(f6(x91821,a872),x91822),f326(f326(f106(f880(x91821,a866)),x91823),x91824))),f326(f326(f6(x91821,a872),x91822),f326(f326(f115(f880(x91821,a866)),x91823),x91824)))
% 149.08/148.76 [9269]~P103(f326(f326(f328(x92691),x92693),x92692))+~P103(f326(f326(f240(f880(x92691,a866)),x92692),f326(f326(f304(x92691),x92693),x92694)))+P103(f326(f326(f240(f880(x92691,a866)),f326(f326(f22(f880(x92691,a866)),x92692),f326(f326(f304(x92691),x92693),f190(f880(x92691,a866))))),x92694))
% 149.08/148.76 [9429]~P103(f326(f326(f328(x94291),x94293),x94292))+P103(f326(f326(f240(f880(x94291,a866)),x94292),f326(f326(f304(x94291),x94293),x94294)))+~P103(f326(f326(f240(f880(x94291,a866)),f326(f326(f22(f880(x94291,a866)),x94292),f326(f326(f304(x94291),x94293),f190(f880(x94291,a866))))),x94294))
% 149.08/148.76 [9519]~P103(f326(f326(f240(a872),x95191),x95193))+~P103(f326(f326(f241(a872),x95192),x95194))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x95191),x95192)),f326(f326(f261(a872,a872),x95193),x95194))),a36))
% 149.08/148.76 [9520]~P103(f326(f326(f240(a872),x95202),x95204))+~P103(f326(f326(f240(a872),x95201),x95203))+P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),f326(f326(f261(a872,a872),x95201),x95202)),f326(f326(f261(a872,a872),x95203),x95204))),a71))
% 149.08/148.76 [9815]~P103(f326(f326(f328(f873(x98151)),x98154),f157(x98151,x98153)))+~P103(f326(f326(f328(f873(x98151)),x98154),f157(x98151,x98152)))+P103(f326(f156(x98151,f326(f326(f106(f880(x98151,a866)),f326(f326(f7(x98151,f880(x98151,a866),a866),f328(x98151)),x98152)),f326(f326(f7(x98151,f880(x98151,a866),a866),f328(x98151)),x98153))),x98154))
% 149.08/148.76 [9917]~P21(x99171,f880(f880(x99171,a866),a866),f326(f326(f7(x99171,f880(f879(x99171,x99171),a866),f880(f880(x99171,a866),a866)),f326(f326(f8(f880(x99171,a866),f880(f880(f879(x99171,x99171),a866),f880(f880(x99171,a866),a866)),x99171),f61(x99171)),f326(f326(f7(x99171,f880(x99171,a866),f880(x99171,a866)),f304(x99171)),f190(f880(x99171,a866))))),x99173),x99172)+~P103(f326(f326(f328(x99171),x99174),x99172))+E(f326(f326(f22(f880(f880(x99171,a866),a866)),f326(f326(f61(x99171),x99172),x99173)),f326(f326(f61(x99171),f326(f326(f304(x99171),x99174),f190(f880(x99171,a866)))),x99173)),f326(f326(f61(x99171),f326(f326(f22(f880(x99171,a866)),x99172),f326(f326(f304(x99171),x99174),f190(f880(x99171,a866))))),x99173))
% 149.08/148.76 [10051]~P47(x100511,x100512,x100514)+~P103(f326(f326(f328(f879(x100511,x100511)),x100513),x100514))+P103(f326(f326(f265(x100511,x100511,a866),f326(f326(f7(x100511,f880(x100511,a866),f880(x100511,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x100511,a866),f880(x100511,a866)),x100511),f8(a866,a866,x100511)),f326(f326(f8(a866,f880(a866,a866),x100511),a324),f326(f326(f7(x100511,f880(x100511,a866),a866),f328(x100511)),x100512)))),f326(f326(f7(x100511,f880(x100511,a866),a866),f328(x100511)),x100512))),x100513))
% 149.08/148.76 [10063]P103(f326(f62(x100631),x100632))+~P103(f326(f62(x100633),f326(f305(x100631,x100633,x100634),x100632)))+~P103(f326(f62(x100631),f326(f246(x100631),f326(f326(f18(x100631,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100631),a324),f326(f326(f7(x100631,f880(x100631,a866),a866),f328(x100631)),x100632))),f326(f326(f7(x100631,x100633,a866),f326(f326(f8(x100633,f880(x100633,a866),x100631),a323),x100634)),f326(x100634,f455(x100634,x100633,x100632,x100631)))))))
% 149.08/148.76 [8067]~P60(x80672)+E(x80671,f2(x80672))+E(f326(f326(f284(x80672),f326(f326(f22(x80672),f326(f326(f82(x80672),x80671),x80673)),x80674)),x80671),f326(f326(f22(x80672),x80673),f326(f326(f284(x80672),x80674),x80671)))
% 149.08/148.76 [8068]~P60(x80682)+E(x80681,f2(x80682))+E(f326(f326(f284(x80682),f326(f326(f81(x80682),f326(f326(f82(x80682),x80681),x80683)),x80684)),x80681),f326(f326(f81(x80682),x80683),f326(f326(f284(x80682),x80684),x80681)))
% 149.08/148.76 [8968]~E(f326(f326(f283(x89681,x89681,x89681),x89683),x89684),f190(f880(f879(x89681,x89681),a866)))+~E(f326(f326(f283(x89681,x89681,x89681),x89682),x89684),f190(f880(f879(x89681,x89681),a866)))+E(f326(f326(f283(x89681,x89681,x89681),f326(f326(f115(f880(f879(x89681,x89681),a866)),x89682),x89683)),x89684),f190(f880(f879(x89681,x89681),a866)))
% 149.08/148.76 [9994]~P143(x99941)+~P143(x99942)+E(f326(f326(f311(x99941),f326(f326(f7(x99941,a104,f876(f873(a322))),f326(f326(f8(f880(x99942,f876(f873(a322))),f880(a104,f876(f873(a322))),x99941),f311(x99942)),f326(f326(f8(f880(x99942,f879(x99941,x99942)),f880(x99942,f876(f873(a322))),x99941),f326(f8(f879(x99941,x99942),f876(f873(a322)),x99942),x99943)),f261(x99941,x99942)))),x99944)),x99944),f326(f326(f311(f879(x99941,x99942)),x99943),x99944))
% 149.08/148.76 [9724]~P103(f326(f156(x97241,x97243),x97244))+~P103(f326(f156(x97241,x97242),x97244))+P103(f326(f156(x97241,f326(f326(f18(x97241,a866,a866),f326(f326(f8(a866,f880(a866,a866),x97241),a324),x97242)),x97243)),x97244))
% 149.08/148.76 [9986]P103(f326(x99861,f439(x99862,x99863,x99861,x99864)))+~P103(f326(f62(x99864),f326(f246(x99864),x99861)))+P103(f326(f62(x99863),f326(f246(x99863),f326(f326(f8(f880(x99864,a866),a866,x99863),f88(x99864)),f326(f326(f8(f880(x99864,a866),f880(x99864,a866),x99863),f326(f18(x99864,a866,a866),f326(f326(f8(a866,f880(a866,a866),x99864),a324),x99861))),x99862)))))
% 149.08/148.76 [10007]~P103(f326(f62(x100072),f326(f246(x100072),x100073)))+~P103(f326(f62(x100071),f326(f246(x100071),f326(f326(f7(x100071,x100072,a866),x100074),f439(x100074,x100071,x100073,x100072)))))+P103(f326(f62(x100071),f326(f246(x100071),f326(f326(f8(f880(x100072,a866),a866,x100071),f88(x100072)),f326(f326(f8(f880(x100072,a866),f880(x100072,a866),x100071),f326(f18(x100072,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100072),a324),x100073))),x100074)))))
% 149.08/148.76 [6513]E(x65131,x65132)+~E(f326(x65133,x65131),f326(x65133,x65132))+~P21(x65134,x65135,x65133,f249(f880(x65134,a866)))
% 149.08/148.76 [6673]~E(f326(x66733,x66735),f193(x66732))+~E(f326(x66734,x66735),f193(x66732))+E(f326(f181(x66731,x66732,x66733,x66734),x66735),f193(x66732))
% 149.08/148.76 [7407]E(x74071,x74072)+~P21(x74073,x74074,x74075,f249(f880(x74073,a866)))+~E(f326(f305(x74073,x74074,x74075),x74071),f326(f305(x74073,x74074,x74075),x74072))
% 149.08/148.76 [7661]P21(x76612,x76613,f554(x76614,x76613,x76612,x76611),x76611)+~E(f326(f305(x76613,x76612,x76615),x76614),x76611)+E(x76611,f190(f880(x76612,a866)))
% 149.08/148.76 [8202]~P103(f326(f326(x82023,x82022),x82025))+~P103(f326(f326(x82023,x82024),x82022))+P103(f326(f326(f328(x82021),x82022),f290(x82021,x82023,x82024,x82025)))
% 149.08/148.76 [8203]~P103(f326(f326(x82033,x82032),x82035))+~P103(f326(f326(x82033,x82034),x82032))+P103(f326(f326(f328(x82031),x82032),f293(x82031,x82033,x82034,x82035)))
% 149.08/148.76 [8761]~P21(x87611,x87613,x87615,f249(f880(x87611,a866)))+~P21(x87613,x87612,x87614,f249(f880(x87613,a866)))+P21(x87611,x87612,f326(f74(x87613,x87612,x87611,x87614),x87615),f249(f880(x87611,a866)))
% 149.08/148.76 [9328]P103(f326(f326(f328(f879(x93281,x93281)),f326(f326(f261(x93281,x93281),x93282),x93283)),f302(x93281,x93284)))+~P103(f326(f326(f328(f879(x93281,x93281)),f326(f326(f261(x93281,x93281),x93282),x93285)),f302(x93281,x93284)))+~P103(f326(f326(f328(f879(x93281,x93281)),f326(f326(f261(x93281,x93281),x93285),x93283)),f302(x93281,x93284)))
% 149.08/148.76 [9366]~P105(x93662)+~P103(f326(f133(x93661),x93665))+P103(f326(f133(x93661),f145(x93661,x93662,x93663,x93664,x93665)))
% 149.08/148.76 [5345]~E(x53452,f118(x53451))+E(f326(f326(f126(x53451),x53452),x53453),f326(f326(f147(x53451),x53454),x53455))+~E(x53453,f326(f326(f147(x53451),x53454),x53455))
% 149.08/148.76 [5346]~E(x53462,f118(x53461))+E(f326(f326(f126(x53461),x53462),x53463),f326(f326(f147(x53461),x53464),x53465))+~E(f326(f326(f147(x53461),x53464),x53465),x53463)
% 149.08/148.76 [6470]~E(f326(f191(f873(x64701)),x64705),f326(f191(f873(x64702)),x64704))+E(f326(f326(f150(f879(x64701,x64702),x64702),f264(x64701,x64702)),x64703),x64704)+~E(f326(f326(f178(x64701,x64702),x64705),x64704),x64703)
% 149.08/148.76 [6471]~E(f326(f191(f873(x64711)),x64714),f326(f191(f873(x64712)),x64715))+E(f326(f326(f150(f879(x64711,x64712),x64711),f260(x64711,x64712)),x64713),x64714)+~E(f326(f326(f178(x64711,x64712),x64714),x64715),x64713)
% 149.08/148.76 [6945]~P105(x69451)+~P28(x69451,f326(f326(f150(x69452,x69451),x69453),x69455))+P28(x69451,f326(f326(f150(x69452,x69451),x69453),f326(f132(x69452,x69454),x69455)))
% 149.08/148.76 [6992]~P103(f326(x69923,x69925))+~P103(f326(f326(x69922,x69924),x69925))+P103(f326(f326(f96(x69921,x69922,x69923),x69924),x69925))
% 149.08/148.76 [7089]~P105(x70891)+P28(x70891,f326(f326(f150(x70892,x70891),x70893),f166(x70892,x70894,x70895)))+~P28(x70891,f326(f326(f150(x70892,x70891),x70893),x70895))
% 149.08/148.76 [7112]~P50(x71123,x71122,x71125)+~P50(x71121,x71123,x71124)+P50(x71121,x71122,f326(f326(f283(x71121,x71123,x71122),x71124),x71125))
% 149.08/148.76 [7204]E(x72041,x72042)+~P21(x72043,x72044,x72045,f249(f880(x72043,a866)))+~E(f326(f326(f150(x72043,x72044),x72045),x72041),f326(f326(f150(x72043,x72044),x72045),x72042))
% 149.08/148.76 [7358]~P103(f326(f326(f240(a872),x73581),f326(x73583,x73585)))+P103(f326(f326(f240(a872),x73581),f151(x73582,x73583,x73584)))+~P103(f326(f326(f328(x73582),x73585),f326(f168(x73582),x73584)))
% 149.08/148.76 [7359]~P103(f326(f326(f241(a872),x73591),f326(x73593,x73595)))+P103(f326(f326(f241(a872),x73591),f151(x73592,x73593,x73594)))+~P103(f326(f326(f328(x73592),x73595),f326(f168(x73592),x73594)))
% 149.08/148.76 [7764]~P107(x77641)+P103(f326(f326(f240(f880(x77641,a866)),f297(x77641,x77642,x77643)),f297(x77641,x77644,x77645)))+P103(f326(f326(f240(x77641),x77642),x77643))
% 149.08/148.76 [7787]~P26(x77871)+P103(f326(f326(f240(x77871),f326(f326(f43(x77872,x77871),x77873),x77874)),f326(x77874,x77875)))+~P103(f326(f326(f328(x77872),x77875),x77873))
% 149.08/148.76 [7853]~P21(x78531,x78532,x78534,x78533)+E(f326(f78(x78531,x78532,x78533,x78534),f326(x78534,x78535)),x78535)+~P103(f326(f326(f328(x78531),x78535),x78533))
% 149.08/148.76 [8055]~P103(f326(x80551,x80555))+P103(f326(x80551,f479(x80551,x80552,x80553,x80554)))+~P103(f326(f326(f328(x80554),x80555),x80553))
% 149.08/148.76 [8056]~P103(f326(x80561,x80565))+P103(f326(x80561,f479(x80561,x80562,x80563,x80564)))+~P103(f326(f326(f328(x80564),x80565),x80562))
% 149.08/148.76 [8153]P103(f326(f62(x81531),x81532))+~P103(f326(f62(x81533),x81534))+~P103(f326(f326(f240(f880(x81531,a866)),x81532),f326(f305(x81533,x81531,x81535),x81534)))
% 149.08/148.76 [8318]E(x83181,x83182)+~P21(x83183,x83184,x83185,f326(f326(f115(f880(x83183,a866)),f326(f168(x83183),x83181)),f326(f168(x83183),x83182)))+~E(f326(f326(f150(x83183,x83184),x83185),x83181),f326(f326(f150(x83183,x83184),x83185),x83182))
% 149.08/148.76 [8373]~P107(x83731)+~P103(f326(f326(f241(f880(x83731,a866)),f297(x83731,x83734,x83735)),f297(x83731,x83732,x83733)))+P103(f326(f326(f240(x83731),x83732),x83733))
% 149.08/148.76 [8442]~P21(x84421,x84424,x84425,f249(f880(x84421,a866)))+~P103(f326(f326(f328(x84424),f326(x84425,x84422)),f326(f305(x84421,x84424,x84425),x84423)))+P103(f326(f326(f328(x84421),x84422),x84423))
% 149.08/148.76 [8520]P103(f326(x85201,x85202))+~P103(f326(x85201,f420(x85201,x85203,x85204,x85205)))+~P103(f326(f326(f328(x85205),x85202),x85204))
% 149.08/148.76 [8521]P103(f326(x85211,x85212))+~P103(f326(x85211,f420(x85211,x85213,x85214,x85215)))+~P103(f326(f326(f328(x85215),x85212),x85213))
% 149.08/148.76 [8801]~P21(x88012,x88013,x88011,x88014)+E(f326(x88011,f326(f78(x88012,x88013,x88014,x88011),x88015)),x88015)+~P103(f326(f326(f328(x88013),x88015),f326(f305(x88012,x88013,x88011),x88014)))
% 149.08/148.76 [8906]E(x89061,f118(x89062))+E(f326(f326(f147(x89062),x89063),f699(x89064,x89063,x89065,x89061,x89062)),x89061)+~E(f326(f326(f126(x89062),x89061),x89065),f326(f326(f147(x89062),x89063),x89064))
% 149.08/148.76 [8907]E(x89071,f118(x89072))+E(f326(f326(f147(x89072),x89073),f701(x89074,x89071,x89075,x89073,x89072)),x89071)+~E(f326(f326(f126(x89072),x89071),x89074),f326(f326(f147(x89072),x89073),x89075))
% 149.08/148.76 [8924]E(f326(f326(f147(x89242),x89243),f699(x89244,x89243,x89241,x89245,x89242)),x89245)+~E(f326(f326(f126(x89242),x89245),x89241),f326(f326(f147(x89242),x89243),x89244))+E(x89241,f326(f326(f147(x89242),x89243),x89244))
% 149.08/148.76 [8925]E(f326(f326(f147(x89251),x89252),f701(x89254,x89255,x89253,x89252,x89251)),x89255)+~E(f326(f326(f126(x89251),x89255),x89254),f326(f326(f147(x89251),x89252),x89253))+E(f326(f326(f147(x89251),x89252),x89253),x89254)
% 149.08/148.76 [9006]~E(f326(f305(x90063,x90062,x90064),f249(f880(x90063,a866))),f249(f880(x90062,a866)))+~E(f326(f305(x90061,x90063,x90065),f249(f880(x90061,a866))),f249(f880(x90063,a866)))+E(f326(f305(x90061,x90062,f326(f74(x90063,x90062,x90061,x90064),x90065)),f249(f880(x90061,a866))),f249(f880(x90062,a866)))
% 149.08/148.76 [9373]E(x93731,f118(x93732))+~E(f326(f326(f126(x93732),x93731),x93733),f326(f326(f147(x93732),x93735),x93734))+E(f326(f326(f126(x93732),f701(x93733,x93731,x93734,x93735,x93732)),x93733),x93734)
% 149.08/148.76 [9374]E(x93741,f118(x93742))+~E(f326(f326(f126(x93742),x93741),x93745),f326(f326(f147(x93742),x93744),x93743))+E(f326(f326(f126(x93742),f699(x93743,x93744,x93745,x93741,x93742)),x93745),x93743)
% 149.08/148.76 [9381]E(f326(f326(f126(x93812),f699(x93814,x93813,x93811,x93815,x93812)),x93811),x93814)+~E(f326(f326(f126(x93812),x93815),x93811),f326(f326(f147(x93812),x93813),x93814))+E(x93811,f326(f326(f147(x93812),x93813),x93814))
% 149.08/148.76 [9382]~E(f326(f326(f126(x93821),x93825),x93824),f326(f326(f147(x93821),x93822),x93823))+E(f326(f326(f126(x93821),f701(x93824,x93825,x93823,x93822,x93821)),x93824),x93823)+E(f326(f326(f147(x93821),x93822),x93823),x93824)
% 149.08/148.76 [9383]E(f326(f326(f126(x93831),x93835),f705(x93833,x93832,x93834,x93835,x93831)),x93832)+E(f326(f326(f126(x93831),x93832),f704(x93833,x93832,x93834,x93835,x93831)),x93835)+~E(f326(f326(f126(x93831),x93835),x93834),f326(f326(f126(x93831),x93832),x93833))
% 149.08/148.76 [9415]~P105(x94151)+P28(x94151,f326(f326(f150(x94152,x94151),x94153),f145(x94152,x94151,x94153,x94154,x94155)))+~P28(x94151,f326(f326(f150(x94152,x94151),x94153),x94155))
% 149.08/148.76 [9426]~P54(x94265,x94261,x94264,x94263)+P103(f326(f326(x94261,x94262),f562(x94263,x94264,x94261,x94265,x94262)))+~P103(f326(f326(f328(x94265),x94262),x94264))
% 149.08/148.76 [9531]~P103(f326(f326(f328(f879(x95311,x95311)),f326(f326(f261(x95311,x95311),x95315),x95313)),f302(x95311,x95314)))+P103(f326(f326(f328(f879(x95311,x95311)),f326(f326(f261(x95311,x95311),x95312),x95313)),f326(f326(f283(x95311,x95311,x95311),x95314),f302(x95311,x95314))))+~P103(f326(f326(f328(f879(x95311,x95311)),f326(f326(f261(x95311,x95311),x95312),x95315)),f326(f326(f283(x95311,x95311,x95311),x95314),f302(x95311,x95314))))
% 149.08/148.76 [9532]~P103(f326(f326(f328(f879(x95321,x95321)),f326(f326(f261(x95321,x95321),x95322),x95325)),f302(x95321,x95324)))+P103(f326(f326(f328(f879(x95321,x95321)),f326(f326(f261(x95321,x95321),x95322),x95323)),f326(f326(f283(x95321,x95321,x95321),x95324),f302(x95321,x95324))))+~P103(f326(f326(f328(f879(x95321,x95321)),f326(f326(f261(x95321,x95321),x95325),x95323)),f326(f326(f283(x95321,x95321,x95321),x95324),f302(x95321,x95324))))
% 149.08/148.76 [9535]P103(f326(f326(f328(f879(f873(x95351),f873(x95351))),f326(f326(f261(f873(x95351),f873(x95351)),x95352),x95353)),f154(x95351,f302(x95351,x95354))))+~P103(f326(f326(f328(f879(f873(x95351),f873(x95351))),f326(f326(f261(f873(x95351),f873(x95351)),x95352),x95355)),f154(x95351,f302(x95351,x95354))))+~P103(f326(f326(f328(f879(f873(x95351),f873(x95351))),f326(f326(f261(f873(x95351),f873(x95351)),x95355),x95353)),f154(x95351,f302(x95351,x95354))))
% 149.08/148.76 [9539]E(f326(f326(f126(x95391),x95392),f704(x95393,x95392,x95394,x95395,x95391)),x95395)+E(f326(f326(f126(x95391),f705(x95393,x95392,x95394,x95395,x95391)),x95393),x95394)+~E(f326(f326(f126(x95391),x95392),x95393),f326(f326(f126(x95391),x95395),x95394))
% 149.08/148.76 [9540]E(f326(f326(f126(x95401),x95402),f705(x95403,x95404,x95405,x95402,x95401)),x95404)+E(f326(f326(f126(x95401),f704(x95403,x95404,x95405,x95402,x95401)),x95405),x95403)+~E(f326(f326(f126(x95401),x95402),x95405),f326(f326(f126(x95401),x95404),x95403))
% 149.08/148.76 [9594]P103(f326(f326(f328(f879(x95941,x95941)),f326(f326(f261(x95941,x95941),x95942),x95943)),f326(f326(f283(x95941,x95941,x95941),x95944),f302(x95941,x95944))))+~P103(f326(f326(f328(f879(x95941,x95941)),f326(f326(f261(x95941,x95941),x95942),x95945)),f326(f326(f283(x95941,x95941,x95941),x95944),f302(x95941,x95944))))+~P103(f326(f326(f328(f879(x95941,x95941)),f326(f326(f261(x95941,x95941),x95945),x95943)),f326(f326(f283(x95941,x95941,x95941),x95944),f302(x95941,x95944))))
% 149.08/148.76 [9621]P34(x96211,x96212,x96213,x96214,x96215)+~E(f326(f191(f873(x96211)),x96214),f326(f191(f873(x96212)),x96215))+~P103(f326(f326(f265(x96211,x96212,a866),x96213),f755(x96215,x96214,x96213,x96212,x96211)))
% 149.08/148.76 [9622]P34(x96221,x96222,x96223,x96224,x96225)+~E(f326(f191(f873(x96221)),x96224),f326(f191(f873(x96222)),x96225))+~P103(f326(f326(f265(x96221,x96222,a866),x96223),f760(x96223,x96225,x96224,x96222,x96221)))
% 149.08/148.76 [9627]E(f326(f326(f126(x96271),f704(x96272,x96273,x96274,x96275,x96271)),x96274),x96272)+~E(f326(f326(f126(x96271),x96273),x96272),f326(f326(f126(x96271),x96275),x96274))+E(f326(f326(f126(x96271),f705(x96272,x96273,x96274,x96275,x96271)),x96272),x96274)
% 149.08/148.76 [9642]~P105(x96422)+E(f326(f326(f144(x96421,x96422,x96423),x96424),x96425),f326(f326(f147(x96421),x96424),x96425))+P103(f326(f326(f328(x96421),f781(x96424,x96423,x96425,x96421,x96422)),f326(f168(x96421),x96425)))
% 149.08/148.76 [9647]~P54(x96471,x96474,x96473,x96472)+~P103(f326(f326(f328(x96471),x96475),x96473))+P103(f326(f326(f328(x96471),f562(x96472,x96473,x96474,x96471,x96475)),x96472))
% 149.08/148.76 [9767]~P103(f326(f326(f328(f879(f880(x97671,a866),f880(x97671,a866))),f326(f326(f261(f880(x97671,a866),f880(x97671,a866)),x97674),x97673)),f317(x97671,x97672)))+~P103(f326(f326(f328(x97671),x97675),x97674))+P103(f326(f326(f328(x97671),f630(x97672,x97673,x97674,x97671,x97675)),x97673))
% 149.08/148.76 [9779]~P105(x97792)+E(f326(f326(f144(x97791,x97792,x97793),x97794),x97795),f326(f326(f147(x97791),x97794),x97795))+~P103(f326(f326(f240(x97792),f326(x97793,x97794)),f326(x97793,f781(x97794,x97793,x97795,x97791,x97792))))
% 149.08/148.76 [9969]P34(x99691,x99692,x99693,x99694,x99695)+~E(f326(f191(f873(x99691)),x99694),f326(f191(f873(x99692)),x99695))+~P103(f326(f326(x99693,f326(f326(f161(x99691),x99694),f761(x99695,x99694,x99693,x99692,x99691))),f326(f326(f161(x99692),x99695),f761(x99695,x99694,x99693,x99692,x99691))))
% 149.08/148.76 [9970]P34(x99701,x99702,x99703,x99704,x99705)+~E(f326(f191(f873(x99701)),x99704),f326(f191(f873(x99702)),x99705))+~P103(f326(f326(x99703,f326(f326(f161(x99701),x99704),f769(x99703,x99705,x99702,x99704,x99701))),f326(f326(f161(x99702),x99705),f769(x99703,x99705,x99702,x99704,x99701))))
% 149.08/148.76 [6541]~P13(x65412,x65415,x65411)+~P103(f326(f62(x65412),x65414))+E(f326(x65411,f326(f326(f304(x65412),x65413),x65414)),f326(f326(f65(x65412,x65412,x65415),x65413),x65414))
% 149.08/148.76 [6542]~E(x65423,x65424)+~E(x65422,x65425)+E(f326(f326(f304(x65421),x65422),f326(f326(f304(x65421),x65423),f190(f880(x65421,a866)))),f326(f326(f304(x65421),x65424),f326(f326(f304(x65421),x65425),f190(f880(x65421,a866)))))
% 149.08/148.76 [6553]P103(f326(x65532,x65535))+E(f173(x65531,x65532,f326(f326(f126(x65531),x65533),x65534)),f173(x65531,x65532,x65533))+~P103(f326(f326(f328(x65531),x65535),f326(f168(x65531),x65533)))
% 149.08/148.76 [6590]E(f326(x65901,x65902),f190(f880(x65903,a866)))+~E(f326(f326(f42(x65904,f880(x65903,a866)),x65905),x65901),f190(f880(x65903,a866)))+~P103(f326(f326(f328(x65904),x65902),x65905))
% 149.08/148.76 [6591]E(f326(x65911,x65912),f249(f880(x65913,a866)))+~E(f326(f326(f43(x65914,f880(x65913,a866)),x65915),x65911),f249(f880(x65913,a866)))+~P103(f326(f326(f328(x65914),x65912),x65915))
% 149.08/148.76 [6894]~P103(f326(f326(f197(x68941),x68943),x68945))+~P103(f326(f326(f197(x68942),x68945),x68944))+P103(f326(f326(f197(f34(x68941,x68942)),x68943),x68944))
% 149.08/148.76 [7099]~E(x70992,x70994)+~P135(x70991)+E(f326(f326(f81(x70991),f326(f326(f82(x70991),x70992),x70993)),f326(f326(f82(x70991),x70994),x70995)),f326(f326(f81(x70991),f326(f326(f82(x70991),x70992),x70995)),f326(f326(f82(x70991),x70994),x70993)))
% 149.08/148.76 [7159]~P26(x71591)+~P103(f326(f326(f328(x71594),x71593),x71595))+P103(f326(f326(f240(x71591),f326(x71592,x71593)),f326(f326(f42(x71594,x71591),x71595),x71592)))
% 149.08/148.76 [7209]~P106(x72091)+P103(f326(f326(f240(x72091),f326(x72092,x72093)),f326(x72094,x72093)))+~P103(f326(f326(f240(f880(x72095,x72091)),x72092),x72094))
% 149.08/148.76 [7326]E(x73261,x73262)+E(x73263,x73261)+~E(f326(f326(f304(x73264),x73261),f326(f326(f304(x73264),x73265),f190(f880(x73264,a866)))),f326(f326(f304(x73264),x73262),f326(f326(f304(x73264),x73263),f190(f880(x73264,a866)))))
% 149.08/148.76 [7327]E(x73271,x73272)+E(x73273,x73271)+~E(f326(f326(f304(x73274),x73273),f326(f326(f304(x73274),x73272),f190(f880(x73274,a866)))),f326(f326(f304(x73274),x73275),f326(f326(f304(x73274),x73271),f190(f880(x73274,a866)))))
% 149.08/148.76 [7328]E(x73281,x73282)+E(x73281,x73283)+~E(f326(f326(f304(x73284),x73283),f326(f326(f304(x73284),x73282),f190(f880(x73284,a866)))),f326(f326(f304(x73284),x73285),f326(f326(f304(x73284),x73281),f190(f880(x73284,a866)))))
% 149.08/148.76 [7329]E(x73291,x73292)+E(x73291,x73293)+~E(f326(f326(f304(x73294),x73291),f326(f326(f304(x73294),x73295),f190(f880(x73294,a866)))),f326(f326(f304(x73294),x73292),f326(f326(f304(x73294),x73293),f190(f880(x73294,a866)))))
% 149.08/148.76 [7863]P21(x78631,x78632,x78633,x78634)+~P21(x78631,x78632,x78633,x78635)+~P103(f326(f326(f240(f880(x78631,a866)),x78634),x78635))
% 149.08/148.76 [7870]~P103(f326(f326(f240(a872),x78705),x78703))+~P103(f326(f326(f326(f326(a199,x78701),x78702),x78705),x78704))+P103(f326(f326(f326(f326(a199,x78701),x78702),x78703),x78704))
% 149.08/148.76 [7966]P103(f326(x79661,x79662))+~P103(f326(f326(f197(x79664),x79662),x79665))+P103(f326(f326(f197(f31(x79661,x79663,x79664)),x79662),x79665))
% 149.08/148.76 [7994]~P103(f326(x79941,x79944))+~P103(f326(f326(f197(x79942),x79944),x79945))+P103(f326(f326(f197(f31(x79941,x79942,x79943)),x79944),x79945))
% 149.08/148.76 [8045]E(x80451,x80452)+~E(f326(f305(x80453,x80454,x80455),x80451),f326(f305(x80453,x80454,x80455),x80452))+~P21(x80453,x80454,x80455,f326(f326(f115(f880(x80453,a866)),x80451),x80452))
% 149.08/148.76 [8119]P103(f326(x81192,x81194))+E(f326(f326(f134(x81191),f326(f191(f873(x81191)),f173(x81191,x81192,x81193))),x81193),f326(f326(f147(x81191),x81194),x81195))+~E(f326(f326(f126(x81191),f173(x81191,x81192,x81193)),f326(f326(f147(x81191),x81194),x81195)),x81193)
% 149.08/148.76 [8150]~P21(x81501,x81502,x81503,x81505)+~P21(x81501,x81502,x81503,x81504)+P21(x81501,x81502,x81503,f326(f326(f106(f880(x81501,a866)),x81504),x81505))
% 149.08/148.76 [8259]~P72(x82591)+E(f326(f326(f81(x82591),f326(x82592,x82593)),f326(f162(x82591),f326(f326(f150(x82594,x82591),x82592),f166(x82594,x82593,x82595)))),f326(f162(x82591),f326(f326(f150(x82594,x82591),x82592),x82595)))+~P103(f326(f326(f328(x82594),x82593),f326(f168(x82594),x82595)))
% 149.08/148.76 [8349]~P105(x83491)+~P28(x83491,f326(f326(f150(x83492,x83491),x83493),x83495))+P28(x83491,f326(f326(f150(x83492,x83491),x83493),f326(f326(f144(x83492,x83491,x83493),x83494),x83495)))
% 149.08/148.76 [8426]P103(f326(x84261,x84262))+P103(f326(f326(f197(x84263),x84262),x84264))+~P103(f326(f326(f197(f31(x84261,x84265,x84263)),x84262),x84264))
% 149.08/148.76 [8437]~P26(x84371)+P103(f326(f326(f240(x84371),f326(f326(f42(x84372,x84371),x84373),x84374)),f326(f326(f42(x84372,x84371),x84375),x84374)))+~P103(f326(f326(f240(f880(x84372,a866)),x84373),x84375))
% 149.08/148.76 [8438]~P26(x84381)+P103(f326(f326(f240(x84381),f326(f326(f43(x84382,x84381),x84383),x84384)),f326(f326(f43(x84382,x84381),x84385),x84384)))+~P103(f326(f326(f240(f880(x84382,a866)),x84385),x84383))
% 149.08/148.76 [8450]~P103(f326(x84504,x84502))+P103(f326(f326(f197(x84501),x84502),x84503))+~P103(f326(f326(f197(f31(x84504,x84501,x84505)),x84502),x84503))
% 149.08/148.76 [8474]~P105(x84743)+P103(f326(f133(x84741),x84742))+~P103(f326(f133(x84741),f326(f326(f144(x84741,x84743,x84744),x84745),x84742)))
% 149.08/148.76 [8484]P103(f326(f326(f197(x84841),x84842),x84843))+P103(f326(f326(f197(x84844),x84842),x84843))+~P103(f326(f326(f197(f31(x84845,x84841,x84844)),x84842),x84843))
% 149.08/148.76 [8615]~P105(x86151)+~P103(f326(f326(f328(x86152),x86153),f326(f168(x86152),x86154)))+~P103(f326(f133(x86152),f326(f326(f144(x86152,x86151,x86155),x86153),x86154)))
% 149.08/148.76 [8695]~P105(x86951)+P28(x86951,f326(f326(f150(x86952,x86951),x86953),x86954))+~P28(x86951,f326(f326(f150(x86952,x86951),x86953),f326(f326(f144(x86952,x86951,x86953),x86955),x86954)))
% 149.08/148.76 [8788]~P105(x87882)+E(f326(f326(f144(x87881,x87882,x87883),x87884),x87885),f145(x87881,x87882,x87883,x87884,x87885))+P103(f326(f326(f328(x87882),f326(x87883,x87884)),f326(f305(x87881,x87882,x87883),f326(f168(x87881),x87885))))
% 149.08/148.76 [8863]~P105(x88632)+E(f145(x88631,x88632,x88633,x88634,x88635),x88635)+~P103(f326(f326(f328(x88632),f326(x88633,x88634)),f326(f305(x88631,x88632,x88633),f326(f168(x88631),x88635))))
% 149.08/148.76 [8879]~P21(x88792,x88791,x88793,x88795)+P103(f326(f326(f241(f880(x88791,a866)),f326(f305(x88792,x88791,x88793),x88794)),f326(f305(x88792,x88791,x88793),x88795)))+~P103(f326(f326(f241(f880(x88792,a866)),x88794),x88795))
% 149.08/148.76 [9048]~P21(x90481,x90482,x90483,f249(f880(x90481,a866)))+~P103(f326(f326(f240(f880(x90482,a866)),x90484),f326(f305(x90481,x90482,x90483),x90485)))+P103(f326(f326(f240(f880(x90481,a866)),f326(f306(x90481,x90482,x90483),x90484)),x90485))
% 149.08/148.76 [9068]~E(f326(f305(x90683,x90681,x90684),f249(f880(x90683,a866))),f249(f880(x90681,a866)))+P103(f326(f326(f240(f880(x90681,a866)),x90682),f326(f305(x90683,x90681,x90684),x90685)))+~P103(f326(f326(f240(f880(x90683,a866)),f326(f306(x90683,x90681,x90684),x90682)),x90685))
% 149.08/148.76 [9092]~E(f326(f233(x90922),x90924),f326(f326(f174(x90921,x90922),x90925),x90923))+~P103(f326(f133(x90921),f326(f326(f150(f879(x90921,x90922),x90921),f260(x90921,x90922)),x90925)))+P103(f326(f326(f328(f879(x90921,x90922)),f326(f326(f261(x90921,x90922),x90923),x90924)),f326(f168(f879(x90921,x90922)),x90925)))
% 149.08/148.76 [9174]~P21(x91741,x91744,x91745,f249(f880(x91741,a866)))+~P103(f326(f326(f240(f880(x91744,a866)),f326(f305(x91741,x91744,x91745),x91742)),f326(f305(x91741,x91744,x91745),x91743)))+P103(f326(f326(f240(f880(x91741,a866)),x91742),x91743))
% 149.08/148.76 [9239]E(f326(f233(x92391),x92392),f326(f326(f174(x92393,x92391),x92394),x92395))+~P103(f326(f133(x92393),f326(f326(f150(f879(x92393,x92391),x92393),f260(x92393,x92391)),x92394)))+~P103(f326(f326(f328(f879(x92393,x92391)),f326(f326(f261(x92393,x92391),x92395),x92392)),f326(f168(f879(x92393,x92391)),x92394)))
% 149.08/148.76 [9241]E(f326(f326(f174(x92411,x92412),x92413),x92414),f326(f233(x92412),x92415))+~P103(f326(f133(x92411),f326(f326(f150(f879(x92411,x92412),x92411),f260(x92411,x92412)),x92413)))+~P103(f326(f326(f328(f879(x92411,x92412)),f326(f326(f261(x92411,x92412),x92414),x92415)),f326(f168(f879(x92411,x92412)),x92413)))
% 149.08/148.76 [9296]~P81(x92961)+~E(f326(x92963,f742(x92963,x92964,x92965,x92962,x92961)),f2(x92961))+E(f326(f162(x92961),f326(f326(f150(x92962,x92961),x92963),f326(f132(x92962,x92964),x92965))),f326(f162(x92961),f326(f326(f150(x92962,x92961),x92963),x92965)))
% 149.08/148.76 [9473]~P12(x94731,x94732,x94733)+~P103(f326(f62(x94731),x94735))+P103(f326(f67(x94731,x94732,x94733,x94734,x94735),f326(f326(f65(x94731,x94732,x94733),x94734),x94735)))
% 149.08/148.76 [9552]P103(f326(x95521,f667(x95522,x95521,x95523,x95524,x95525)))+~P103(f326(f326(f240(f880(x95525,a866)),x95524),x95523))+P103(f326(f326(f240(f880(x95525,a866)),f326(f326(f106(f880(x95525,a866)),x95524),f326(f246(x95525),x95521))),f326(f326(f106(f880(x95525,a866)),x95523),f326(f246(x95525),x95522))))
% 149.08/148.76 [9566]~P81(x95661)+~P103(f326(x95664,f742(x95663,x95664,x95665,x95662,x95661)))+E(f326(f162(x95661),f326(f326(f150(x95662,x95661),x95663),f326(f132(x95662,x95664),x95665))),f326(f162(x95661),f326(f326(f150(x95662,x95661),x95663),x95665)))
% 149.08/148.76 [9645]~P26(x96455)+P103(f326(f326(f328(x96451),f354(x96452,x96453,x96451,x96454,x96455)),x96453))+P103(f326(f326(f240(x96455),x96454),f326(f326(f43(x96451,x96455),x96453),x96452)))
% 149.08/148.76 [9648]~P81(x96481)+E(f326(f162(x96481),f326(f326(f150(x96482,x96481),x96483),f326(f132(x96482,x96484),x96485))),f326(f162(x96481),f326(f326(f150(x96482,x96481),x96483),x96485)))+P103(f326(f326(f328(x96482),f742(x96483,x96484,x96485,x96482,x96481)),f326(f168(x96482),x96485)))
% 149.08/148.76 [9658]~P103(f326(x96585,f667(x96585,x96583,x96584,x96582,x96581)))+~P103(f326(f326(f240(f880(x96581,a866)),x96582),x96584))+P103(f326(f326(f240(f880(x96581,a866)),f326(f326(f106(f880(x96581,a866)),x96582),f326(f246(x96581),x96583))),f326(f326(f106(f880(x96581,a866)),x96584),f326(f246(x96581),x96585))))
% 149.08/148.76 [9692]P34(x96921,x96922,x96923,x96924,x96925)+~E(f326(f191(f873(x96922)),x96925),f326(f191(f873(x96921)),x96924))+P103(f326(f326(f241(a872),f761(x96925,x96924,x96923,x96922,x96921)),f326(f191(f873(x96921)),x96924)))
% 149.08/148.76 [9693]P34(x96931,x96932,x96933,x96934,x96935)+~E(f326(f191(f873(x96932)),x96935),f326(f191(f873(x96931)),x96934))+P103(f326(f326(f241(a872),f769(x96933,x96935,x96932,x96934,x96931)),f326(f191(f873(x96931)),x96934)))
% 149.08/148.76 [9726]P103(f326(f326(f328(x97261),f667(x97262,x97263,x97264,x97265,x97261)),x97265))+~P103(f326(f326(f240(f880(x97261,a866)),x97265),x97264))+P103(f326(f326(f240(f880(x97261,a866)),f326(f326(f106(f880(x97261,a866)),x97265),f326(f246(x97261),x97263))),f326(f326(f106(f880(x97261,a866)),x97264),f326(f246(x97261),x97262))))
% 149.08/148.76 [9780]~P26(x97801)+~P103(f326(f326(f240(x97801),x97802),f326(x97805,f354(x97805,x97804,x97803,x97802,x97801))))+P103(f326(f326(f240(x97801),x97802),f326(f326(f43(x97803,x97801),x97804),x97805)))
% 149.08/148.76 [9813]~P73(x98131)+~P103(f326(f62(x98132),x98135))+E(f326(f326(f326(f66(x98131,x98132,f82(x98131)),f326(f326(f18(x98132,x98131,x98131),f326(f326(f8(x98131,f880(x98131,x98131),x98132),f82(x98131)),x98133)),x98134)),f79(x98131)),x98135),f326(f326(f82(x98131),f326(f326(f326(f66(x98131,x98132,f82(x98131)),x98133),f79(x98131)),x98135)),f326(f326(f326(f66(x98131,x98132,f82(x98131)),x98134),f79(x98131)),x98135)))
% 149.08/148.76 [9876]~P103(f326(f326(f328(f879(f880(x98761,a866),f880(x98761,a866))),f326(f326(f261(f880(x98761,a866),f880(x98761,a866)),x98765),x98764)),f317(x98761,x98763)))+~P103(f326(f326(f328(x98761),x98762),x98765))+P103(f326(f326(f328(f879(x98761,x98761)),f326(f326(f261(x98761,x98761),x98762),f630(x98763,x98764,x98765,x98761,x98762))),x98763))
% 149.08/148.76 [10004]~P103(f326(f326(f328(f879(f873(x100041),f873(x100041))),f326(f326(f261(f873(x100041),f873(x100041)),f326(f326(f126(x100041),x100045),x100042)),f326(f326(f126(x100041),x100045),x100043))),f143(x100041,x100044)))+P103(f326(f326(f328(f879(f873(x100041),f873(x100041))),f326(f326(f261(f873(x100041),f873(x100041)),x100042),x100043)),f143(x100041,x100044)))+P103(f326(f326(f328(f879(x100041,x100041)),f326(f326(f261(x100041,x100041),f706(x100044,x100043,x100042,x100045,x100041)),f706(x100044,x100043,x100042,x100045,x100041))),x100044))
% 149.08/148.76 [7139]~E(f326(f191(f873(x71391)),x71393),f326(f191(f873(x71392)),x71394))+E(f326(f326(f174(x71391,x71392),f326(f326(f178(x71391,x71392),x71393),x71394)),x71395),f193(x71392))+P103(f326(f326(f328(x71391),x71395),f326(f168(x71391),x71393)))
% 149.08/148.76 [7212]~E(x72123,x72125)+E(f326(f326(f161(x72121),f326(f326(f155(x72121,x72122),x72123),x72124)),x72125),x72124)+~P103(f326(f326(f241(a872),x72123),f326(f191(f873(x72121)),x72122)))
% 149.08/148.76 [7321]~E(f326(f326(f126(x73211),x73212),x73214),f326(f326(f126(x73211),x73213),x73215))+E(f326(f326(f171(x73211),f326(f191(f873(x73211)),x73212)),x73213),x73212)+P103(f326(f326(f240(a872),f326(f191(f873(x73211)),x73213)),f326(f191(f873(x73211)),x73212)))
% 149.08/148.76 [7338]~E(x73385,x73382)+P103(f326(x73381,x73382))+P103(f326(f326(f326(f326(a199,f33(x73381,x73383)),x73382),x73384),x73385))
% 149.08/148.76 [7824]~E(f326(f326(f126(x78241),x78242),x78244),f326(f326(f126(x78241),x78243),x78245))+E(f326(f326(f171(x78241),f326(f191(f873(x78241)),x78242)),x78243),x78242)+~P103(f326(f326(f240(a872),f326(f191(f873(x78241)),x78242)),f326(f191(f873(x78241)),x78243)))
% 149.08/148.76 [7848]~P103(f326(f62(x78481),f326(x78484,x78485)))+~P103(f326(f326(f328(x78482),x78485),x78483))+P103(f326(f62(x78481),f326(f326(f43(x78482,f880(x78481,a866)),x78483),x78484)))
% 149.08/148.76 [7901]~E(f326(f191(f873(x79011)),x79012),f326(f191(f873(x79013)),x79014))+~E(f326(f326(f174(x79011,x79013),f326(f326(f178(x79011,x79013),x79012),x79014)),x79015),f193(x79013))+~P103(f326(f326(f328(x79011),x79015),f326(f168(x79011),x79012)))
% 149.08/148.76 [8030]~P47(x80301,x80303,x80305)+~P47(x80301,x80302,x80304)+P47(x80301,f326(f326(f115(f880(x80301,a866)),x80302),x80303),f326(f326(f115(f880(f879(x80301,x80301),a866)),x80304),x80305))
% 149.08/148.76 [8031]~P47(x80311,x80313,x80315)+~P47(x80311,x80312,x80314)+P47(x80311,f326(f326(f106(f880(x80311,a866)),x80312),x80313),f326(f326(f106(f880(f879(x80311,x80311),a866)),x80314),x80315))
% 149.08/148.76 [8113]E(x81131,x81132)+P103(f326(x81133,x81131))+~P103(f326(f326(f326(f326(a199,f33(x81133,x81134)),x81131),x81135),x81132))
% 149.08/148.76 [8388]E(f326(f326(f261(x83881,x83882),f326(f326(f161(x83881),x83883),x83884)),f326(f326(f161(x83882),x83885),x83884)),f326(f326(f161(f879(x83881,x83882)),f326(f326(f178(x83881,x83882),x83883),x83885)),x83884))+~P103(f326(f326(f241(a872),x83884),f326(f191(f873(x83881)),x83883)))+~P103(f326(f326(f241(a872),x83884),f326(f191(f873(x83882)),x83885)))
% 149.08/148.76 [8548]~P47(x85481,x85483,x85484)+P103(f326(f326(f328(x85481),x85482),x85483))+~P103(f326(f326(f328(f879(x85481,x85481)),f326(f326(f261(x85481,x85481),x85485),x85482)),x85484))
% 149.08/148.76 [8549]~P47(x85491,x85493,x85494)+P103(f326(f326(f328(x85491),x85492),x85493))+~P103(f326(f326(f328(f879(x85491,x85491)),f326(f326(f261(x85491,x85491),x85492),x85495)),x85494))
% 149.08/148.76 [8550]~P3(x85501,x85503,x85504)+P103(f326(f326(f328(x85501),x85502),x85503))+~P103(f326(f326(f328(f879(x85501,x85501)),f326(f326(f261(x85501,x85501),x85505),x85502)),x85504))
% 149.08/148.76 [8551]~P3(x85511,x85513,x85514)+P103(f326(f326(f328(x85511),x85512),x85513))+~P103(f326(f326(f328(f879(x85511,x85511)),f326(f326(f261(x85511,x85511),x85512),x85515)),x85514))
% 149.08/148.76 [8811]~P3(x88111,x88115,x88112)+E(f326(f280(x88111,x88111,x88112),f326(f326(f304(x88111),x88113),f190(f880(x88111,a866)))),f326(f280(x88111,x88111,x88112),f326(f326(f304(x88111),x88114),f190(f880(x88111,a866)))))+~P103(f326(f326(f328(f879(x88111,x88111)),f326(f326(f261(x88111,x88111),x88113),x88114)),x88112))
% 149.08/148.76 [8894]~P103(f326(f326(f326(f326(a199,x88942),x88943),x88944),x88945))+~P103(f326(f326(f326(f326(a199,f33(x88941,x88942)),x88945),x88944),x88943))+P103(f326(f326(f326(f326(a199,f33(x88941,x88942)),x88943),x88944),x88943))
% 149.08/148.76 [9003]P103(f326(x90031,x90032))+~P103(f326(f326(f328(x90033),x90032),x90035))+P103(f326(f326(f328(x90033),f420(x90031,x90034,x90035,x90033)),f326(f326(f115(f880(x90033,a866)),x90035),x90034)))
% 149.08/148.76 [9004]P103(f326(x90041,x90042))+~P103(f326(f326(f328(x90043),x90042),x90044))+P103(f326(f326(f328(x90043),f420(x90041,x90044,x90045,x90043)),f326(f326(f115(f880(x90043,a866)),x90045),x90044)))
% 149.08/148.76 [9012]~P103(f326(x90122,x90125))+~P103(f326(f326(f328(x90121),x90125),x90124))+P103(f326(f326(f328(x90121),f479(x90122,x90123,x90124,x90121)),f326(f326(f115(f880(x90121,a866)),x90124),x90123)))
% 149.08/148.76 [9013]~P103(f326(x90132,x90135))+~P103(f326(f326(f328(x90131),x90135),x90133))+P103(f326(f326(f328(x90131),f479(x90132,x90133,x90134,x90131)),f326(f326(f115(f880(x90131,a866)),x90134),x90133)))
% 149.08/148.76 [9028]~P103(f326(f326(f240(f880(x90281,a866)),x90283),x90285))+~P103(f326(f326(f240(f880(x90281,a866)),x90282),x90284))+P103(f326(f326(f240(f880(x90281,a866)),f326(f326(f115(f880(x90281,a866)),x90282),x90283)),f326(f326(f115(f880(x90281,a866)),x90284),x90285)))
% 149.08/148.76 [9029]~P103(f326(f326(f240(f880(x90291,a866)),x90295),x90293))+~P103(f326(f326(f240(f880(x90291,a866)),x90292),x90294))+P103(f326(f326(f240(f880(x90291,a866)),f326(f326(f22(f880(x90291,a866)),x90292),x90293)),f326(f326(f22(f880(x90291,a866)),x90294),x90295)))
% 149.08/148.76 [9030]~P103(f326(f326(f240(f880(x90301,a866)),x90303),x90305))+~P103(f326(f326(f240(f880(x90301,a866)),x90302),x90304))+P103(f326(f326(f240(f880(x90301,a866)),f326(f326(f106(f880(x90301,a866)),x90302),x90303)),f326(f326(f106(f880(x90301,a866)),x90304),x90305)))
% 149.08/148.76 [9117]~E(f326(f191(f873(x91171)),x91173),f326(f191(f873(x91172)),x91174))+E(f326(f326(f174(x91171,x91172),f326(f326(f178(x91171,x91172),x91173),x91174)),x91175),f326(f233(x91172),f677(x91175,x91174,x91172,x91173,x91171)))+~P103(f326(f326(f328(x91171),x91175),f326(f168(x91171),x91173)))
% 149.08/148.76 [9121]P103(f326(f326(f328(f879(x91211,x91211)),f326(f326(f261(x91211,x91211),x91212),x91213)),f320(x91211,x91214,x91215)))+~P103(f326(f326(f240(a872),f326(x91214,x91212)),f326(x91214,x91213)))+~P103(f326(f326(f328(f879(x91211,x91211)),f326(f326(f261(x91211,x91211),x91212),x91213)),x91215))
% 149.08/148.76 [9306]P103(f326(f326(f328(f879(x93061,x93061)),f326(f326(f261(x93061,x93061),x93062),x93063)),f302(x93061,x93064)))+~P103(f326(f326(f328(f879(x93061,x93061)),f326(f326(f261(x93061,x93061),x93062),x93065)),f302(x93061,x93064)))+~P103(f326(f326(f328(f879(x93061,x93061)),f326(f326(f261(x93061,x93061),x93065),x93063)),x93064))
% 149.08/148.76 [9307]P103(f326(f326(f328(f879(x93071,x93071)),f326(f326(f261(x93071,x93071),x93072),x93073)),f302(x93071,x93074)))+~P103(f326(f326(f328(f879(x93071,x93071)),f326(f326(f261(x93071,x93071),x93075),x93073)),f302(x93071,x93074)))+~P103(f326(f326(f328(f879(x93071,x93071)),f326(f326(f261(x93071,x93071),x93072),x93075)),x93074))
% 149.08/148.76 [9404]E(x94041,x94042)+E(f326(a117,f647(x94043,x94044,x94041,x94042,x94045)),x94044)+~P103(f326(f326(f328(f879(x94045,x94045)),f326(f326(f261(x94045,x94045),x94042),x94041)),f326(f326(f185(f879(x94045,x94045),a866),x94044),x94043)))
% 149.08/148.76 [9405]E(x94051,x94052)+E(f326(a117,f649(x94053,x94054,x94051,x94052,x94055)),x94054)+~P103(f326(f326(f328(f879(x94055,x94055)),f326(f326(f261(x94055,x94055),x94052),x94051)),f326(f326(f185(f879(x94055,x94055),a866),x94054),x94053)))
% 149.08/148.76 [9406]E(x94061,f2(a872))+E(f326(a117,f647(x94062,x94061,x94063,x94064,x94065)),x94061)+~P103(f326(f326(f328(f879(x94065,x94065)),f326(f326(f261(x94065,x94065),x94064),x94063)),f326(f326(f185(f879(x94065,x94065),a866),x94061),x94062)))
% 149.08/148.76 [9407]E(x94071,f2(a872))+E(f326(a117,f649(x94072,x94071,x94073,x94074,x94075)),x94071)+~P103(f326(f326(f328(f879(x94075,x94075)),f326(f326(f261(x94075,x94075),x94074),x94073)),f326(f326(f185(f879(x94075,x94075),a866),x94071),x94072)))
% 149.08/148.76 [9423]P103(f326(f326(f328(f879(x94231,x94231)),f326(f326(f261(x94231,x94231),x94232),x94233)),f326(f326(f283(x94231,x94231,x94231),x94234),f302(x94231,x94234))))+~P103(f326(f326(f328(f879(x94231,x94231)),f326(f326(f261(x94231,x94231),x94232),x94235)),x94234))+~P103(f326(f326(f328(f879(x94231,x94231)),f326(f326(f261(x94231,x94231),x94235),x94233)),x94234))
% 149.08/148.76 [9430]~P103(f326(f326(f328(f879(x94301,x94301)),f326(f326(f261(x94301,x94301),x94302),x94305)),f302(x94301,x94304)))+P103(f326(f326(f328(f879(x94301,x94301)),f326(f326(f261(x94301,x94301),x94302),x94303)),f326(f326(f283(x94301,x94301,x94301),x94304),f302(x94301,x94304))))+~P103(f326(f326(f328(f879(x94301,x94301)),f326(f326(f261(x94301,x94301),x94305),x94303)),x94304))
% 149.08/148.76 [9469]~P3(x94691,x94695,x94692)+~P103(f326(f326(f328(f879(x94691,x94691)),f326(f326(f261(x94691,x94691),x94693),x94694)),x94692))+P103(f326(f326(f240(f880(x94691,a866)),f326(f280(x94691,x94691,x94692),f326(f326(f304(x94691),x94693),f190(f880(x94691,a866))))),f326(f280(x94691,x94691,x94692),f326(f326(f304(x94691),x94694),f190(f880(x94691,a866))))))
% 149.08/148.76 [9491]E(x94911,x94912)+P103(f326(f326(f326(f326(a199,x94913),x94911),x94914),f833(x94912,x94914,x94911,x94913,x94915)))+~P103(f326(f326(f326(f326(a199,f33(x94915,x94913)),x94911),x94914),x94912))
% 149.08/148.76 [9495]~P103(f326(x94955,x94952))+P103(f326(f326(f326(f326(a199,x94951),x94952),x94953),f833(x94954,x94953,x94952,x94951,x94955)))+~P103(f326(f326(f326(f326(a199,f33(x94955,x94951)),x94952),x94953),x94954))
% 149.08/148.76 [9524]P103(f326(f326(f328(f879(x95241,x95241)),f326(f326(f261(x95241,x95241),x95242),x95243)),f326(f326(f283(x95241,x95241,x95241),x95244),f302(x95241,x95244))))+~P103(f326(f326(f328(f879(x95241,x95241)),f326(f326(f261(x95241,x95241),x95242),x95245)),f326(f326(f283(x95241,x95241,x95241),x95244),f302(x95241,x95244))))+~P103(f326(f326(f328(f879(x95241,x95241)),f326(f326(f261(x95241,x95241),x95245),x95243)),x95244))
% 149.08/148.76 [9525]P103(f326(f326(f328(f879(x95251,x95251)),f326(f326(f261(x95251,x95251),x95252),x95253)),f326(f326(f283(x95251,x95251,x95251),x95254),f302(x95251,x95254))))+~P103(f326(f326(f328(f879(x95251,x95251)),f326(f326(f261(x95251,x95251),x95255),x95253)),f326(f326(f283(x95251,x95251,x95251),x95254),f302(x95251,x95254))))+~P103(f326(f326(f328(f879(x95251,x95251)),f326(f326(f261(x95251,x95251),x95252),x95255)),x95254))
% 149.08/148.76 [9575]~P103(f326(f67(x95751,x95751,x95754,x95752,x95753),x95755))+P103(f326(f326(f328(x95751),x95752),x95753))+P103(f326(f63(x95751,x95754,f326(f326(f304(x95751),x95752),x95753)),x95755))
% 149.08/148.76 [9614]~E(f326(f305(x96143,x96142,x96145),x96144),x96141)+E(x96141,f190(f880(x96142,a866)))+P103(f326(f326(f240(f880(x96143,a866)),f326(f305(x96142,x96143,f554(x96144,x96143,x96142,x96141)),x96141)),x96144))
% 149.08/148.76 [9661]~P26(x96615)+P103(f326(f326(f328(x96611),f753(x96612,x96613,x96614,x96611,x96615)),x96614))+P103(f326(f326(f240(x96615),f326(f326(f42(x96611,x96615),x96614),x96613)),x96612))
% 149.08/148.76 [9712]P34(x97121,x97122,x97123,x97124,x97125)+~E(f326(f191(f873(x97121)),x97124),f326(f191(f873(x97122)),x97125))+P103(f326(f326(f328(f879(x97121,x97122)),f755(x97125,x97124,x97123,x97122,x97121)),f326(f168(f879(x97121,x97122)),f326(f326(f178(x97121,x97122),x97124),x97125))))
% 149.08/148.76 [9713]P34(x97131,x97132,x97133,x97134,x97135)+~E(f326(f191(f873(x97131)),x97134),f326(f191(f873(x97132)),x97135))+P103(f326(f326(f328(f879(x97131,x97132)),f760(x97133,x97135,x97134,x97132,x97131)),f326(f168(f879(x97131,x97132)),f326(f326(f178(x97131,x97132),x97134),x97135))))
% 149.08/148.76 [9843]E(x98431,x98432)+P103(f326(f326(f326(f326(a199,f33(x98433,x98434)),f833(x98431,x98435,x98432,x98434,x98433)),x98435),x98431))+~P103(f326(f326(f326(f326(a199,f33(x98433,x98434)),x98432),x98435),x98431))
% 149.08/148.76 [9845]~P103(f326(x98451,x98455))+P103(f326(f326(f326(f326(a199,f33(x98451,x98452)),f833(x98453,x98454,x98455,x98452,x98451)),x98454),x98453))+~P103(f326(f326(f326(f326(a199,f33(x98451,x98452)),x98455),x98454),x98453))
% 149.08/148.76 [9853]E(x98531,x98532)+P103(f326(f326(f328(f879(x98533,x98533)),f326(f326(f261(x98533,x98533),x98531),f648(x98534,x98535,x98532,x98531,x98533))),x98534))+~P103(f326(f326(f328(f879(x98533,x98533)),f326(f326(f261(x98533,x98533),x98531),x98532)),f326(f326(f185(f879(x98533,x98533),a866),x98535),x98534)))
% 149.08/148.76 [9854]E(x98541,f2(a872))+P103(f326(f326(f328(f879(x98542,x98542)),f326(f326(f261(x98542,x98542),x98543),f648(x98544,x98541,x98545,x98543,x98542))),x98544))+~P103(f326(f326(f328(f879(x98542,x98542)),f326(f326(f261(x98542,x98542),x98543),x98545)),f326(f326(f185(f879(x98542,x98542),a866),x98541),x98544)))
% 149.08/148.76 [9897]~P26(x98971)+~P103(f326(f326(f240(x98971),f326(x98974,f753(x98975,x98974,x98973,x98972,x98971))),x98975))+P103(f326(f326(f240(x98971),f326(f326(f42(x98972,x98971),x98973),x98974)),x98975))
% 149.08/148.76 [9939]E(x99391,x99392)+P103(f326(f326(f328(f879(x99393,x99393)),f326(f326(f261(x99393,x99393),f650(x99394,x99395,x99391,x99392,x99393)),x99391)),x99394))+~P103(f326(f326(f328(f879(x99393,x99393)),f326(f326(f261(x99393,x99393),x99392),x99391)),f326(f326(f185(f879(x99393,x99393),a866),x99395),x99394)))
% 149.08/148.76 [9940]E(x99401,f2(a872))+P103(f326(f326(f328(f879(x99402,x99402)),f326(f326(f261(x99402,x99402),f650(x99403,x99401,x99404,x99405,x99402)),x99404)),x99403))+~P103(f326(f326(f328(f879(x99402,x99402)),f326(f326(f261(x99402,x99402),x99405),x99404)),f326(f326(f185(f879(x99402,x99402),a866),x99401),x99403)))
% 149.08/148.76 [9944]E(x99441,x99442)+P103(f326(f326(f328(f879(x99443,x99443)),f326(f326(f261(x99443,x99443),x99441),f650(x99444,x99445,x99442,x99441,x99443))),f326(f326(f185(f879(x99443,x99443),a866),f649(x99444,x99445,x99442,x99441,x99443)),x99444)))+~P103(f326(f326(f328(f879(x99443,x99443)),f326(f326(f261(x99443,x99443),x99441),x99442)),f326(f326(f185(f879(x99443,x99443),a866),x99445),x99444)))
% 149.08/148.76 [9945]E(x99451,f2(a872))+P103(f326(f326(f328(f879(x99452,x99452)),f326(f326(f261(x99452,x99452),x99453),f650(x99454,x99451,x99455,x99453,x99452))),f326(f326(f185(f879(x99452,x99452),a866),f649(x99454,x99451,x99455,x99453,x99452)),x99454)))+~P103(f326(f326(f328(f879(x99452,x99452)),f326(f326(f261(x99452,x99452),x99453),x99455)),f326(f326(f185(f879(x99452,x99452),a866),x99451),x99454)))
% 149.08/148.76 [9995]E(x99951,x99952)+P103(f326(f326(f328(f879(x99953,x99953)),f326(f326(f261(x99953,x99953),f648(x99954,x99955,x99951,x99952,x99953)),x99951)),f326(f326(f185(f879(x99953,x99953),a866),f647(x99954,x99955,x99951,x99952,x99953)),x99954)))+~P103(f326(f326(f328(f879(x99953,x99953)),f326(f326(f261(x99953,x99953),x99952),x99951)),f326(f326(f185(f879(x99953,x99953),a866),x99955),x99954)))
% 149.08/148.76 [9996]E(x99961,f2(a872))+P103(f326(f326(f328(f879(x99962,x99962)),f326(f326(f261(x99962,x99962),f648(x99963,x99961,x99964,x99965,x99962)),x99964)),f326(f326(f185(f879(x99962,x99962),a866),f647(x99963,x99961,x99964,x99965,x99962)),x99963)))+~P103(f326(f326(f328(f879(x99962,x99962)),f326(f326(f261(x99962,x99962),x99965),x99964)),f326(f326(f185(f879(x99962,x99962),a866),x99961),x99963)))
% 149.08/148.76 [10029]~P72(x100292)+~P103(f326(f62(x100291),x100295))+E(f326(f326(f6(x100291,x100292),f326(f326(f7(x100291,x100292,x100292),f326(f326(f18(x100291,x100292,f880(x100292,x100292)),f326(f326(f8(a866,f880(x100292,f880(x100292,x100292)),x100291),f101(x100292)),f326(f326(f7(x100291,f880(x100291,a866),a866),f328(x100291)),x100293))),x100294)),f2(x100292))),x100295),f326(f326(f6(x100291,x100292),x100294),f326(f326(f106(f880(x100291,a866)),x100295),x100293)))
% 149.08/148.76 [8612]~P72(x86121)+~P103(f326(f62(x86124),x86125))+E(f326(f326(f81(x86121),f326(x86122,x86123)),f326(f326(f6(x86124,x86121),x86122),f326(f326(f22(f880(x86124,a866)),x86125),f326(f326(f304(x86124),x86123),f190(f880(x86124,a866)))))),f326(f326(f6(x86124,x86121),x86122),f326(f326(f304(x86124),x86123),x86125)))
% 149.08/148.76 [8613]~P73(x86131)+~P103(f326(f62(x86134),x86135))+E(f326(f326(f82(x86131),f326(x86132,x86133)),f326(f326(f9(x86134,x86131),x86132),f326(f326(f22(f880(x86134,a866)),x86135),f326(f326(f304(x86134),x86133),f190(f880(x86134,a866)))))),f326(f326(f9(x86134,x86131),x86132),f326(f326(f304(x86134),x86133),x86135)))
% 149.08/148.76 [8933]~P105(x89332)+~P28(x89332,f326(f165(x89332),f326(f326(f150(x89331,x89332),x89334),x89335)))+E(f326(f132(x89331,f326(f326(f8(x89332,a866,x89331),f326(f241(x89332),x89333)),x89334)),x89335),f173(x89331,f326(f326(f8(x89332,a866,x89331),f326(f241(x89332),x89333)),x89334),x89335))
% 149.08/148.76 [8958]~P72(x89581)+E(f326(f326(f81(x89581),f326(f326(f6(a872,x89581),x89582),f297(a872,x89583,x89584))),f326(f326(f6(a872,x89581),x89582),f297(a872,f326(f326(f81(a872),x89584),f79(a872)),f326(f326(f81(a872),x89584),x89585)))),f326(f326(f6(a872,x89581),x89582),f297(a872,x89583,f326(f326(f81(a872),x89584),x89585))))+~P103(f326(f326(f240(a872),x89583),f326(f326(f81(a872),x89584),f79(a872))))
% 149.08/148.76 [8959]~P103(f326(f326(f328(x89591),x89594),x89595))+~P103(f326(f326(f240(f880(x89591,a866)),f326(f168(x89591),x89592)),x89595))+P103(f326(f326(f240(f880(x89591,a866)),f326(f168(x89591),f326(f326(f155(x89591,x89592),x89593),x89594))),x89595))
% 149.08/148.76 [9184]~P26(x91842)+~P103(f326(f62(x91841),x91845))+E(f326(f326(f65(x91841,x91842,f326(f326(f8(x91842,f880(x91842,x91842),x91841),f115(x91842)),x91843)),x91844),x91845),f326(f326(f115(x91842),x91844),f326(f326(f42(x91841,x91842),x91845),x91843)))
% 149.08/148.76 [9185]~P26(x91852)+~P103(f326(f62(x91851),x91855))+E(f326(f326(f65(x91851,x91852,f326(f326(f8(x91852,f880(x91852,x91852),x91851),f106(x91852)),x91853)),x91854),x91855),f326(f326(f106(x91852),x91854),f326(f326(f43(x91851,x91852),x91855),x91853)))
% 149.08/148.76 [9232]E(f326(x92321,x92322),f326(x92321,x92323))+P103(f326(f326(f241(a872),f326(x92321,x92322)),f326(x92321,x92323)))+~P103(f326(f326(f328(f879(x92324,x92324)),f326(f326(f261(x92324,x92324),x92322),x92323)),f149(x92324,f326(f326(f147(f880(x92324,a872)),x92321),x92325))))
% 149.08/148.76 [9263]~E(f326(x92634,x92632),f326(x92634,x92633))+~P103(f326(f326(f328(f879(x92631,x92631)),f326(f326(f261(x92631,x92631),x92632),x92633)),f149(x92631,x92635)))+P103(f326(f326(f328(f879(x92631,x92631)),f326(f326(f261(x92631,x92631),x92632),x92633)),f149(x92631,f326(f326(f147(f880(x92631,a872)),x92634),x92635))))
% 149.08/148.76 [9285]~P21(x92851,x92852,x92853,x92855)+P21(x92851,x92852,x92853,f326(f326(f304(x92851),x92854),x92855))+P103(f326(f326(f328(x92852),f326(x92853,x92854)),f326(f305(x92851,x92852,x92853),f326(f326(f22(f880(x92851,a866)),x92855),f326(f326(f304(x92851),x92854),f190(f880(x92851,a866)))))))
% 149.08/148.76 [9289]P103(f326(x92892,x92895))+~P103(f326(f326(f328(x92891),x92895),f326(f168(x92891),x92893)))+E(f326(f326(f134(x92891),f326(f191(f873(x92891)),f173(x92891,x92892,f326(f326(f126(x92891),x92893),x92894)))),f326(f326(f126(x92891),x92893),x92894)),f326(f326(f126(x92891),f326(f326(f134(x92891),f326(f191(f873(x92891)),f173(x92891,x92892,x92893))),x92893)),x92894))
% 149.08/148.76 [9292]~P103(f326(f326(f328(f879(x92921,x92921)),f326(f326(f261(x92921,x92921),x92922),x92923)),f149(x92921,x92925)))+~P103(f326(f326(f240(a872),f326(x92924,x92922)),f326(x92924,x92923)))+P103(f326(f326(f328(f879(x92921,x92921)),f326(f326(f261(x92921,x92921),x92922),x92923)),f149(x92921,f326(f326(f147(f880(x92921,a872)),x92924),x92925))))
% 149.08/148.76 [9357]P103(f326(f326(f328(f879(x93574,x93574)),f326(f326(f261(x93574,x93574),x93572),x93573)),f149(x93574,x93575)))+P103(f326(f326(f241(a872),f326(x93571,x93572)),f326(x93571,x93573)))+~P103(f326(f326(f328(f879(x93574,x93574)),f326(f326(f261(x93574,x93574),x93572),x93573)),f149(x93574,f326(f326(f147(f880(x93574,a872)),x93571),x93575))))
% 149.08/148.76 [9498]~P103(f326(f326(f328(f879(f873(x94981),f873(x94981))),f326(f326(f261(f873(x94981),f873(x94981)),x94982),x94984)),f154(x94981,x94985)))+~P103(f326(f326(f241(a872),x94983),f326(f191(f873(x94981)),x94982)))+P103(f326(f326(f328(f879(x94981,x94981)),f326(f326(f261(x94981,x94981),f326(f326(f161(x94981),x94982),x94983)),f326(f326(f161(x94981),x94984),x94983))),x94985))
% 149.08/148.76 [9740]E(x97401,f2(a1))+~P103(f326(f49(x97403,x97401),f326(f326(f261(a1,a1),x97404),x97405)))+P103(f326(f49(f326(f326(f82(a1),x97402),x97403),x97401),f326(f326(f261(a1,a1),f326(f326(f81(a1),f326(f326(f82(a1),x97402),x97404)),f326(f326(f39(a1),f326(f326(f82(a1),x97402),x97405)),x97401))),f45(a1,f326(f326(f82(a1),x97402),x97405),x97401))))
% 149.08/148.76 [9742]~P103(f326(f326(f241(a872),f2(a872)),x97423))+~P103(f326(f48(x97422,x97423),f326(f326(f261(a872,a872),x97424),x97425)))+P103(f326(f48(f326(f326(f82(a872),x97421),x97422),x97423),f326(f326(f261(a872,a872),f326(f326(f81(a872),f326(f326(f82(a872),x97421),x97424)),f326(f326(f39(a872),f326(f326(f82(a872),x97421),x97425)),x97423))),f45(a872,f326(f326(f82(a872),x97421),x97425),x97423))))
% 149.08/148.76 [10052]~P72(x100522)+~P103(f326(f62(x100521),x100524))+E(f326(f326(f6(x100521,x100522),x100523),f326(f246(x100521),f326(f326(f18(x100521,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100521),a324),f326(f326(f7(x100521,f880(x100521,a866),a866),f328(x100521)),x100524))),f326(f326(f7(x100521,f880(x100521,a866),a866),f328(x100521)),x100525)))),f326(f326(f6(x100521,x100522),f326(f326(f7(x100521,x100522,x100522),f326(f326(f18(x100521,x100522,f880(x100522,x100522)),f326(f326(f8(a866,f880(x100522,f880(x100522,x100522)),x100521),f101(x100522)),f326(f326(f7(x100521,f880(x100521,a866),a866),f328(x100521)),x100525))),x100523)),f2(x100522))),x100524))
% 149.08/148.76 [8241]~E(f326(f326(f126(x82411),x82412),x82415),f326(f326(f126(x82411),x82413),x82414))+E(f326(f326(f126(x82411),f326(f326(f134(x82411),f326(f191(f873(x82411)),x82412)),x82413)),x82414),x82415)+P103(f326(f326(f240(a872),f326(f191(f873(x82411)),x82413)),f326(f191(f873(x82411)),x82412)))
% 149.08/148.76 [8441]~E(f326(f326(f126(x84412),x84413),x84411),f326(f326(f126(x84412),x84414),x84415))+E(x84411,f326(f326(f126(x84412),f326(f326(f134(x84412),f326(f191(f873(x84412)),x84413)),x84414)),x84415))+~P103(f326(f326(f240(a872),f326(f191(f873(x84412)),x84413)),f326(f191(f873(x84412)),x84414)))
% 149.08/148.76 [8531]~E(f326(f326(f81(a872),f326(f326(f82(a872),x85313),x85314)),x85311),f326(f326(f81(a872),f326(f326(f82(a872),x85312),x85314)),x85315))+~P103(f326(f326(f240(a872),x85313),x85312))+E(x85311,f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x85312),x85313)),x85314)),x85315))
% 149.08/148.76 [8532]~E(f326(f326(f81(a872),f326(f326(f82(a872),x85321),x85323)),x85324),f326(f326(f81(a872),f326(f326(f82(a872),x85322),x85323)),x85325))+~P103(f326(f326(f240(a872),x85322),x85321))+E(f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x85321),x85322)),x85323)),x85324),x85325)
% 149.08/148.76 [8688]E(f326(f326(f81(a872),f326(f326(f82(a872),x86881),x86882)),x86883),f326(f326(f81(a872),f326(f326(f82(a872),x86884),x86882)),x86885))+~P103(f326(f326(f240(a872),x86884),x86881))+~E(x86885,f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x86881),x86884)),x86882)),x86883))
% 149.08/148.76 [8689]E(f326(f326(f81(a872),f326(f326(f82(a872),x86891),x86892)),x86893),f326(f326(f81(a872),f326(f326(f82(a872),x86894),x86892)),x86895))+~P103(f326(f326(f240(a872),x86894),x86891))+~E(f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x86891),x86894)),x86892)),x86893),x86895)
% 149.08/148.76 [9551]~P59(x95512)+~P103(f326(f62(x95511),x95515))+E(f326(f326(f9(x95511,x95512),f326(f326(f18(x95511,x95512,x95512),f326(f326(f8(x95512,f880(x95512,x95512),x95511),f284(x95512)),x95513)),x95514)),x95515),f326(f326(f284(x95512),f326(f326(f9(x95511,x95512),x95513),x95515)),f326(f326(f9(x95511,x95512),x95514),x95515)))
% 149.08/148.76 [9676]~E(f652(x96765,x96764,x96763,x96762,x96761),f653(x96765,x96764,x96763,x96762,x96761))+P103(f326(f326(f328(f879(x96761,x96761)),f326(f326(f261(x96761,x96761),x96762),x96763)),f302(x96761,x96764)))+~P103(f326(f326(f328(f879(x96761,x96761)),f326(f326(f261(x96761,x96761),x96762),x96763)),f302(x96761,f326(f326(f115(f880(f879(x96761,x96761),a866)),x96764),x96765))))
% 149.08/148.76 [9677]~E(f657(x96775,x96774,x96773,x96772,x96771),f654(x96775,x96774,x96773,x96772,x96771))+P103(f326(f326(f328(f879(x96771,x96771)),f326(f326(f261(x96771,x96771),x96772),x96773)),f302(x96771,x96774)))+~P103(f326(f326(f328(f879(x96771,x96771)),f326(f326(f261(x96771,x96771),x96772),x96773)),f302(x96771,f326(f326(f115(f880(f879(x96771,x96771),a866)),x96774),x96775))))
% 149.08/148.76 [9887]P103(f326(f326(f328(f879(x98871,x98871)),f326(f326(f261(x98871,x98871),x98872),f653(x98875,x98874,x98873,x98872,x98871))),f302(x98871,x98874)))+P103(f326(f326(f328(f879(x98871,x98871)),f326(f326(f261(x98871,x98871),x98872),x98873)),f302(x98871,x98874)))+~P103(f326(f326(f328(f879(x98871,x98871)),f326(f326(f261(x98871,x98871),x98872),x98873)),f302(x98871,f326(f326(f115(f880(f879(x98871,x98871),a866)),x98874),x98875))))
% 149.08/148.76 [9966]P103(f326(f326(f328(f879(x99661,x99661)),f326(f326(f261(x99661,x99661),f654(x99665,x99664,x99663,x99662,x99661)),x99663)),f302(x99661,x99664)))+P103(f326(f326(f328(f879(x99661,x99661)),f326(f326(f261(x99661,x99661),x99662),x99663)),f302(x99661,x99664)))+~P103(f326(f326(f328(f879(x99661,x99661)),f326(f326(f261(x99661,x99661),x99662),x99663)),f302(x99661,f326(f326(f115(f880(f879(x99661,x99661),a866)),x99664),x99665))))
% 149.08/148.76 [10002]P103(f326(f326(f328(f879(x100021,x100021)),f326(f326(f261(x100021,x100021),x100022),x100023)),f302(x100021,x100024)))+P103(f326(f326(f328(f879(x100021,x100021)),f326(f326(f261(x100021,x100021),f653(x100025,x100024,x100023,x100022,x100021)),f652(x100025,x100024,x100023,x100022,x100021))),x100025))+~P103(f326(f326(f328(f879(x100021,x100021)),f326(f326(f261(x100021,x100021),x100022),x100023)),f302(x100021,f326(f326(f115(f880(f879(x100021,x100021),a866)),x100024),x100025))))
% 149.08/148.76 [10003]P103(f326(f326(f328(f879(x100031,x100031)),f326(f326(f261(x100031,x100031),x100032),x100033)),f302(x100031,x100034)))+P103(f326(f326(f328(f879(x100031,x100031)),f326(f326(f261(x100031,x100031),f657(x100035,x100034,x100033,x100032,x100031)),f654(x100035,x100034,x100033,x100032,x100031))),x100035))+~P103(f326(f326(f328(f879(x100031,x100031)),f326(f326(f261(x100031,x100031),x100032),x100033)),f302(x100031,f326(f326(f115(f880(f879(x100031,x100031),a866)),x100034),x100035))))
% 149.08/148.76 [10123]~P103(f326(f326(f328(f879(f873(x101231),f873(x101231))),f326(f326(f261(f873(x101231),f873(x101231)),x101234),x101235)),f154(x101231,x101232)))+~P103(f326(f326(f328(f879(x101231,x101231)),x101233),f326(f168(f879(x101231,x101231)),f326(f326(f178(x101231,x101231),x101234),x101235))))+P103(f326(f326(f265(x101231,x101231,a866),f326(f326(f7(x101231,f880(f879(x101231,x101231),a866),f880(x101231,a866)),f326(f326(f8(f880(x101231,f880(f880(f879(x101231,x101231),a866),a866)),f880(f880(f879(x101231,x101231),a866),f880(x101231,a866)),x101231),f7(x101231,f880(f879(x101231,x101231),a866),a866)),f326(f326(f8(f880(x101231,f879(x101231,x101231)),f880(x101231,f880(f880(f879(x101231,x101231),a866),a866)),x101231),f326(f8(f879(x101231,x101231),f880(f880(f879(x101231,x101231),a866),a866),x101231),f328(f879(x101231,x101231)))),f261(x101231,x101231)))),x101232)),x101233))
% 149.08/148.76 [9579]~P103(f326(f326(f240(a872),x95793),x95792))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),x95793),x95794)),x95791)),f326(f326(f81(a872),f326(f326(f82(a872),x95792),x95794)),x95795)))+P103(f326(f326(f240(a872),x95791),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x95792),x95793)),x95794)),x95795)))
% 149.08/148.76 [9580]~P103(f326(f326(f240(a872),x95803),x95802))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),x95803),x95804)),x95801)),f326(f326(f81(a872),f326(f326(f82(a872),x95802),x95804)),x95805)))+P103(f326(f326(f241(a872),x95801),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x95802),x95803)),x95804)),x95805)))
% 149.08/148.76 [9598]~P103(f326(f326(f240(a872),x95981),x95984))+P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),x95981),x95982)),x95983)),f326(f326(f81(a872),f326(f326(f82(a872),x95984),x95982)),x95985)))+~P103(f326(f326(f240(a872),x95983),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x95984),x95981)),x95982)),x95985)))
% 149.08/148.76 [9599]~P103(f326(f326(f240(a872),x95991),x95994))+P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),x95991),x95992)),x95993)),f326(f326(f81(a872),f326(f326(f82(a872),x95994),x95992)),x95995)))+~P103(f326(f326(f241(a872),x95993),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x95994),x95991)),x95992)),x95995)))
% 149.08/148.76 [9710]~P103(f326(f326(f240(a872),x97102),x97101))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),x97101),x97103)),x97104)),f326(f326(f81(a872),f326(f326(f82(a872),x97102),x97103)),x97105)))+P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x97101),x97102)),x97103)),x97104)),x97105))
% 149.08/148.76 [9711]~P103(f326(f326(f240(a872),x97112),x97111))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),x97111),x97113)),x97114)),f326(f326(f81(a872),f326(f326(f82(a872),x97112),x97113)),x97115)))+P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x97111),x97112)),x97113)),x97114)),x97115))
% 149.08/148.76 [9764]~P103(f326(f326(f240(a872),x97644),x97641))+P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),x97641),x97642)),x97643)),f326(f326(f81(a872),f326(f326(f82(a872),x97644),x97642)),x97645)))+~P103(f326(f326(f240(a872),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x97641),x97644)),x97642)),x97643)),x97645))
% 149.08/148.76 [9765]~P103(f326(f326(f240(a872),x97654),x97651))+P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),x97651),x97652)),x97653)),f326(f326(f81(a872),f326(f326(f82(a872),x97654),x97652)),x97655)))+~P103(f326(f326(f241(a872),f326(f326(f81(a872),f326(f326(f82(a872),f326(f326(f22(a872),x97651),x97654)),x97652)),x97653)),x97655))
% 149.08/148.76 [9987]~P9(x99871,x99872,x99875,x99873)+~P103(f326(f326(f328(f879(x99871,x99871)),x99874),x99875))+P103(f326(f326(f265(x99871,x99871,a866),f326(f326(f7(x99871,f880(x99871,x99872),f880(x99871,a866)),f326(f326(f8(f880(x99872,a866),f880(f880(x99871,x99872),f880(x99871,a866)),x99871),f8(x99872,a866,x99871)),f326(f326(f8(x99872,f880(x99872,a866),x99871),a323),x99873))),x99873)),x99874))
% 149.08/148.76 [6783]~E(f326(x67834,x67835),f193(x67832))+E(f326(f181(x67831,x67832,x67833,x67834),x67835),f326(f233(x67832),x67836))+~E(f326(x67833,x67835),f326(f233(x67832),x67836))
% 149.08/148.76 [6883]~E(f326(x68833,x68836),f193(x68831))+E(f326(f235(f876(x68831),x68832,f193(x68831),x68833),f326(x68834,x68835)),f193(x68831))+~E(f326(x68834,x68835),f326(f233(x68832),x68836))
% 149.08/148.76 [7468]E(f326(x74681,x74682),f193(x74683))+~E(f326(f181(x74685,x74683,x74686,x74681),x74682),f326(f233(x74683),x74684))+E(f326(x74681,x74682),f326(f233(x74683),x74684))
% 149.08/148.76 [7504]~E(f326(f181(x75046,x75043,x75045,x75041),x75042),f326(f233(x75043),x75044))+E(f326(x75041,x75042),f326(f233(x75043),x75044))+E(f326(x75045,x75042),f326(f233(x75043),x75044))
% 149.08/148.76 [8400]~P15(x84006,x84001,x84002,x84004)+E(f326(f74(x84001,x84001,x84001,f326(x84002,x84003)),f326(x84004,x84005)),f326(f74(x84001,x84001,x84001,f326(x84004,x84005)),f326(x84002,x84003)))+~P103(f326(f62(x84006),x84005))
% 149.08/148.76 [8823]~P21(x88231,x88233,x88235,x88236)+~P21(x88233,x88232,x88234,f326(f305(x88231,x88233,x88235),x88236))+P21(x88231,x88232,f326(f74(x88233,x88232,x88231,x88234),x88235),x88236)
% 149.08/148.76 [9389]~P103(f326(f326(x93893,x93892),x93896))+~P103(f326(f326(x93894,x93895),x93892))+P103(f326(f326(f328(x93891),x93892),f294(x93891,x93893,x93894,x93895,x93896)))
% 149.08/148.76 [9390]~P103(f326(f326(x93904,x93902),x93906))+~P103(f326(f326(x93903,x93905),x93902))+P103(f326(f326(f328(x93901),x93902),f291(x93901,x93903,x93904,x93905,x93906)))
% 149.08/148.76 [9499]E(x94991,x94992)+E(x94993,x94994)+~P103(f326(f326(f328(f879(f873(x94995),f873(x94995))),f326(f326(f261(f873(x94995),f873(x94995)),f326(f326(f147(x94995),x94993),x94991)),f326(f326(f147(x94995),x94994),x94992))),f153(x94995,x94996)))
% 149.08/148.76 [9508]~E(x95082,x95084)+P103(f326(f326(f328(f879(f873(x95081),f873(x95081))),f326(f326(f261(f873(x95081),f873(x95081)),f326(f326(f147(x95081),x95082),x95083)),f326(f326(f147(x95081),x95084),x95085))),f141(x95081,x95086)))+~P103(f326(f326(f328(f879(f873(x95081),f873(x95081))),f326(f326(f261(f873(x95081),f873(x95081)),x95083),x95085)),f141(x95081,x95086)))
% 149.08/148.76 [9509]~E(x95092,x95094)+P103(f326(f326(f328(f879(f873(x95091),f873(x95091))),f326(f326(f261(f873(x95091),f873(x95091)),f326(f326(f147(x95091),x95092),x95093)),f326(f326(f147(x95091),x95094),x95095))),f143(x95091,x95096)))+~P103(f326(f326(f328(f879(f873(x95091),f873(x95091))),f326(f326(f261(f873(x95091),f873(x95091)),x95093),x95095)),f143(x95091,x95096)))
% 149.08/148.76 [9510]~E(x95102,x95104)+P103(f326(f326(f328(f879(f873(x95101),f873(x95101))),f326(f326(f261(f873(x95101),f873(x95101)),f326(f326(f147(x95101),x95102),x95103)),f326(f326(f147(x95101),x95104),x95105))),f153(x95101,x95106)))+~P103(f326(f326(f328(f879(f873(x95101),f873(x95101))),f326(f326(f261(f873(x95101),f873(x95101)),x95103),x95105)),f153(x95101,x95106)))
% 149.08/148.76 [9511]~E(x95112,x95114)+P103(f326(f326(f328(f879(f873(x95111),f873(x95111))),f326(f326(f261(f873(x95111),f873(x95111)),f326(f326(f126(x95111),x95112),x95113)),f326(f326(f126(x95111),x95114),x95115))),f153(x95111,x95116)))+~P103(f326(f326(f328(f879(f873(x95111),f873(x95111))),f326(f326(f261(f873(x95111),f873(x95111)),x95113),x95115)),f153(x95111,x95116)))
% 149.08/148.76 [9512]~E(x95123,x95125)+P103(f326(f326(f328(f879(f873(x95121),f873(x95121))),f326(f326(f261(f873(x95121),f873(x95121)),f326(f326(f126(x95121),x95122),x95123)),f326(f326(f126(x95121),x95124),x95125))),f153(x95121,x95126)))+~P103(f326(f326(f328(f879(f873(x95121),f873(x95121))),f326(f326(f261(f873(x95121),f873(x95121)),x95122),x95124)),f153(x95121,x95126)))
% 149.08/148.76 [9567]E(x95671,x95672)+P103(f326(f326(f328(f879(f873(x95673),f873(x95673))),f326(f326(f261(f873(x95673),f873(x95673)),x95671),x95672)),f153(x95673,x95674)))+~P103(f326(f326(f328(f879(f873(x95673),f873(x95673))),f326(f326(f261(f873(x95673),f873(x95673)),f326(f326(f147(x95673),x95675),x95671)),f326(f326(f147(x95673),x95676),x95672))),f153(x95673,x95674)))
% 149.08/148.76 [9714]~E(x97143,x97145)+P103(f326(f326(f328(f879(f873(x97141),f873(x97141))),f326(f326(f261(f873(x97141),f873(x97141)),f326(f326(f126(x97141),x97142),f326(f326(f147(x97141),x97143),f118(x97141)))),f326(f326(f126(x97141),x97144),f326(f326(f147(x97141),x97145),f118(x97141))))),f153(x97141,x97146)))+~P103(f326(f326(f328(f879(f873(x97141),f873(x97141))),f326(f326(f261(f873(x97141),f873(x97141)),x97142),x97144)),f153(x97141,x97146)))
% 149.08/148.76 [9730]E(f326(x97301,x97302),f193(x97303))+~E(f326(f235(f876(x97306),x97303,f193(x97306),x97304),f326(x97301,x97302)),f193(x97306))+E(f326(x97304,f364(x97302,x97301,x97304,x97305,x97306,x97303)),f193(x97306))
% 149.08/148.76 [9731]E(f326(x97311,x97312),f193(x97313))+~E(f326(f235(f876(x97316),x97313,f193(x97316),x97314),f326(x97311,x97312)),f193(x97316))+E(f326(f233(x97313),f364(x97312,x97311,x97314,x97315,x97316,x97313)),f326(x97311,x97312))
% 149.08/148.76 [9768]E(x97681,x97682)+E(x97683,x97684)+~P103(f326(f326(f328(f879(f873(x97685),f873(x97685))),f326(f326(f261(f873(x97685),f873(x97685)),f326(f326(f126(x97685),x97683),f326(f326(f147(x97685),x97681),f118(x97685)))),f326(f326(f126(x97685),x97684),f326(f326(f147(x97685),x97682),f118(x97685))))),f153(x97685,x97686)))
% 149.08/148.76 [9793]E(x97931,x97932)+~P103(f326(f326(f328(f879(f873(x97933),f873(x97933))),f326(f326(f261(f873(x97933),f873(x97933)),f326(f326(f126(x97933),x97931),f326(f326(f147(x97933),x97935),f118(x97933)))),f326(f326(f126(x97933),x97932),f326(f326(f147(x97933),x97936),f118(x97933))))),f153(x97933,x97934)))+P103(f326(f326(f328(f879(f873(x97933),f873(x97933))),f326(f326(f261(f873(x97933),f873(x97933)),x97931),x97932)),f153(x97933,x97934)))
% 149.08/148.76 [9829]~P103(f326(f326(f328(f879(f880(x98291,a866),f880(x98291,a866))),f326(f326(f261(f880(x98291,a866),f880(x98291,a866)),x98292),x98294)),f317(x98291,x98296)))+~P103(f326(f326(f328(f879(f880(x98291,a866),f880(x98291,a866))),f326(f326(f261(f880(x98291,a866),f880(x98291,a866)),x98293),x98295)),f317(x98291,x98296)))+P103(f326(f326(f328(f879(f880(x98291,a866),f880(x98291,a866))),f326(f326(f261(f880(x98291,a866),f880(x98291,a866)),f326(f326(f115(f880(x98291,a866)),x98292),x98293)),f326(f326(f115(f880(x98291,a866)),x98294),x98295))),f317(x98291,x98296)))
% 149.08/148.76 [5228]~E(f326(x52283,x52286),x52285)+~E(x52284,f326(f233(x52281),x52286))+E(f326(f326(f204(x52281,x52282),x52283),x52284),f326(f233(x52282),x52285))
% 149.08/148.76 [5643]~E(f326(f326(f126(x56431),x56436),x56433),x56435)+E(f326(f326(f126(x56431),x56432),x56433),f326(f326(f147(x56431),x56434),x56435))+~E(x56432,f326(f326(f147(x56431),x56434),x56436))
% 149.08/148.76 [5644]~E(f326(f326(f126(x56441),x56446),x56443),x56445)+E(f326(f326(f126(x56441),x56442),x56443),f326(f326(f126(x56441),x56444),x56445))+~E(x56442,f326(f326(f126(x56441),x56444),x56446))
% 149.08/148.76 [5646]E(f326(f326(f126(x56461),x56462),x56463),f326(f326(f147(x56461),x56464),x56465))+~E(f326(f326(f147(x56461),x56464),x56466),x56462)+~E(x56465,f326(f326(f126(x56461),x56466),x56463))
% 149.08/148.76 [5648]~E(f326(f326(f126(x56481),x56482),x56486),x56484)+E(f326(f326(f126(x56481),x56482),x56483),f326(f326(f126(x56481),x56484),x56485))+~E(x56483,f326(f326(f126(x56481),x56486),x56485))
% 149.08/148.76 [6777]E(f326(x67771,x67772),f326(x67773,x67772))+~E(f326(f326(f150(x67774,x67775),x67771),x67776),f326(f326(f150(x67774,x67775),x67773),x67776))+~P103(f326(f326(f328(x67774),x67772),f326(f168(x67774),x67776)))
% 149.08/148.76 [7162]~P15(x71624,x71625,x71626,x71621)+E(f326(f326(x71621,x71622),x71623),f326(f326(f65(x71624,x71625,x71626),x71623),x71622))+~P103(f326(f62(x71624),x71622))
% 149.08/148.76 [7228]~E(x72282,f326(x72284,x72286))+~P103(f326(f326(f328(x72283),x72286),x72285))+P103(f326(f326(f328(x72281),x72282),f326(f305(x72283,x72281,x72284),x72285)))
% 149.08/148.76 [7229]~E(f326(x72294,x72292),x72296)+~P103(f326(f326(f328(x72293),x72296),x72295))+P103(f326(f326(f328(x72291),x72292),f326(f306(x72291,x72293,x72294),x72295)))
% 149.08/148.76 [7682]~P32(x76821,x76822,x76824,x76826)+P32(x76821,x76822,f326(f326(f147(x76821),x76823),x76824),f326(f326(f147(x76821),x76825),x76826))+~P103(f326(f326(x76822,x76823),x76825))
% 149.08/148.76 [8696]~P52(x86964,x86965,x86961,x86962,x86966)+E(f326(x86961,f326(x86962,x86963)),x86963)+~P103(f326(f326(f328(x86965),x86963),x86966))
% 149.08/148.76 [9501]E(x95011,x95012)+E(f326(f191(f873(x95013)),x95014),f326(f191(f873(x95013)),x95015))+~P103(f326(f326(f328(f879(f873(x95013),f873(x95013))),f326(f326(f261(f873(x95013),f873(x95013)),f326(f326(f147(x95013),x95011),x95014)),f326(f326(f147(x95013),x95012),x95015))),f141(x95013,x95016)))
% 149.08/148.76 [9563]~P12(x95631,x95632,x95633)+E(f326(f326(f65(x95631,x95632,x95633),x95634),x95635),x95636)+~P103(f326(f67(x95631,x95632,x95633,x95634,x95635),x95636))
% 149.08/148.76 [9570]E(f326(f191(f873(x95701)),x95702),f326(f191(f873(x95701)),x95703))+P103(f326(f326(f328(f879(f873(x95701),f873(x95701))),f326(f326(f261(f873(x95701),f873(x95701)),x95702),x95703)),f141(x95701,x95704)))+~P103(f326(f326(f328(f879(f873(x95701),f873(x95701))),f326(f326(f261(f873(x95701),f873(x95701)),f326(f326(f147(x95701),x95705),x95702)),f326(f326(f147(x95701),x95706),x95703))),f141(x95701,x95704)))
% 149.08/148.76 [9592]~P103(f326(f326(f328(f879(x95921,x95921)),f326(f326(f261(x95921,x95921),x95922),x95924)),f302(x95921,x95926)))+P103(f326(f326(f328(f879(f873(x95921),f873(x95921))),f326(f326(f261(f873(x95921),f873(x95921)),f326(f326(f147(x95921),x95922),x95923)),f326(f326(f147(x95921),x95924),x95925))),f302(f873(x95921),f153(x95921,x95926))))+~P103(f326(f326(f328(f879(f873(x95921),f873(x95921))),f326(f326(f261(f873(x95921),f873(x95921)),x95923),x95925)),f302(f873(x95921),f153(x95921,x95926))))
% 149.08/148.76 [9774]~P103(f326(x97742,x97746))+~E(f326(f132(x97741,x97742),x97743),f326(f326(f147(x97741),x97744),x97745))+~P103(f326(f326(f328(x97741),x97746),f326(f168(x97741),f784(x97745,x97744,x97743,x97742,x97741))))
% 149.08/148.76 [9775]~P103(f326(x97754,x97756))+~E(f326(f326(f147(x97751),x97752),x97753),f326(f132(x97751,x97754),x97755))+~P103(f326(f326(f328(x97751),x97756),f326(f168(x97751),f782(x97755,x97754,x97753,x97752,x97751))))
% 149.08/148.76 [10080]~P72(x100802)+E(f326(f326(f6(x100801,x100802),f326(f326(f8(f880(x100803,a866),x100802,x100801),f326(f6(x100803,x100802),x100804)),f326(f326(f8(f880(x100803,a866),f880(x100803,a866),x100801),f246(x100803)),f326(f326(f8(f880(x100803,a866),f880(x100803,a866),x100801),f326(f18(x100803,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100803),a324),f326(f326(f7(x100803,f880(x100803,a866),a866),f328(x100803)),x100805)))),f326(f7(x100803,x100801,a866),f326(f326(f8(x100801,f880(x100801,a866),x100803),a323),x100806)))))),f326(f305(x100803,x100801,x100806),x100805)),f326(f326(f6(x100803,x100802),x100804),x100805))+~P103(f326(f62(x100803),x100805))
% 149.08/148.76 [6834]~P105(x68343)+P103(f326(x68342,x68345))+E(f326(f132(x68341,x68342),f326(f326(f144(x68341,x68343,x68344),x68345),x68346)),f326(f132(x68341,x68342),x68346))
% 149.08/148.76 [6836]P103(f326(x68361,x68362))+~E(f163(x68363,x68361,x68364),f326(f326(f261(f873(x68363),f873(x68363)),x68365),x68366))+~P103(f326(f326(f328(x68363),x68362),f326(f168(x68363),x68365)))
% 149.08/148.76 [6880]~P103(f326(x68802,x68806))+~E(f163(x68801,x68802,x68803),f326(f326(f261(f873(x68801),f873(x68801)),x68804),x68805))+~P103(f326(f326(f328(x68801),x68806),f326(f168(x68801),x68805)))
% 149.08/148.76 [7548]~P11(x75481,x75482,x75483)+~P103(f326(f62(x75481),x75486))+E(f326(f326(f65(x75481,x75482,x75483),x75484),f326(f326(f304(x75481),x75485),x75486)),f326(f326(f65(x75481,x75482,x75483),f326(f326(x75483,x75485),x75484)),x75486))
% 149.08/148.76 [7598]~P105(x75982)+~P103(f326(f326(f240(x75982),f326(x75983,x75984)),f326(x75983,x75985)))+E(f326(f326(f144(x75981,x75982,x75983),x75984),f326(f326(f147(x75981),x75985),x75986)),f326(f326(f147(x75981),x75984),f326(f326(f147(x75981),x75985),x75986)))
% 149.08/148.76 [7713]E(x77131,x77132)+~E(f326(f326(f263(x77133,x77134),x77131),f326(f16(f880(x77134,a866),x77133),x77135)),f326(f326(f263(x77133,x77134),x77132),f326(f16(f880(x77134,a866),x77133),x77135)))+~P103(f326(f326(f328(x77134),x77136),x77135))
% 149.08/148.76 [7777]~P11(x77771,x77772,x77773)+~P103(f326(f62(x77771),x77776))+E(f326(f326(f65(x77771,x77772,x77773),x77774),f326(f326(f304(x77771),x77775),x77776)),f326(f326(x77773,x77775),f326(f326(f65(x77771,x77772,x77773),x77774),x77776)))
% 149.08/148.76 [7893]~P12(x78931,x78932,x78933)+~P103(f326(f62(x78931),x78936))+E(f326(f326(f65(x78931,x78932,x78933),f326(f326(x78933,x78934),x78935)),x78936),f326(f326(x78933,x78934),f326(f326(f65(x78931,x78932,x78933),x78935),x78936)))
% 149.08/148.76 [7962]~P16(x79622,x79625,x79626,x79621)+~P103(f326(f62(x79622),x79624))+E(f326(x79621,f326(f326(f304(x79622),x79623),x79624)),f326(f74(x79625,x79625,x79625,f326(x79621,x79624)),f326(x79626,x79623)))
% 149.08/148.76 [8000]~P105(x80002)+P103(f326(f326(f240(x80002),f326(x80003,x80004)),f326(x80003,x80005)))+E(f326(f326(f144(x80001,x80002,x80003),x80004),f326(f326(f147(x80001),x80005),x80006)),f326(f326(f147(x80001),x80005),f326(f326(f144(x80001,x80002,x80003),x80004),x80006)))
% 149.08/148.76 [8142]~E(f326(f191(f873(x81421)),x81425),f326(f191(f873(x81422)),x81426))+~E(f326(f191(f873(x81421)),x81423),f326(f191(f873(x81422)),x81424))+E(f326(f326(f126(f879(x81421,x81422)),f326(f326(f178(x81421,x81422),x81423),x81424)),f326(f326(f178(x81421,x81422),x81425),x81426)),f326(f326(f178(x81421,x81422),f326(f326(f126(x81421),x81423),x81425)),f326(f326(f126(x81422),x81424),x81426)))
% 149.08/148.76 [8256]~E(x82562,f326(f305(x82563,x82561,x82564),x82566))+P103(f326(f326(f240(f880(x82561,a866)),x82562),f326(f305(x82563,x82561,x82564),x82565)))+~P103(f326(f326(f240(f880(x82563,a866)),x82566),x82565))
% 149.08/148.76 [8358]~P105(x83585)+E(f326(x83581,x83582),f326(x83581,x83583))+E(f326(f326(f144(x83584,x83585,x83581),x83582),f326(f326(f144(x83584,x83585,x83581),x83583),x83586)),f326(f326(f144(x83584,x83585,x83581),x83583),f326(f326(f144(x83584,x83585,x83581),x83582),x83586)))
% 149.08/148.76 [8393]~P21(x83933,x83931,x83934,x83935)+P21(x83933,x83931,f326(f326(f326(f73(x83933,x83931),x83934),x83936),x83932),x83935)+P103(f326(f326(f328(x83931),x83932),f326(f305(x83933,x83931,x83934),x83935)))
% 149.08/148.76 [8540]~P103(f326(f326(f328(x85402),x85404),f326(x85406,x85403)))+~P103(f326(f326(f328(x85401),x85403),x85405))+P103(f326(f326(f328(f879(x85401,x85402)),f326(f326(f261(x85401,x85402),x85403),x85404)),f326(f326(f263(x85401,x85402),x85405),x85406)))
% 149.08/148.76 [9001]~P72(x90012)+~P21(x90014,x90011,x90015,x90016)+E(f326(f326(f6(x90011,x90012),x90013),f326(f305(x90014,x90011,x90015),x90016)),f326(f326(f6(x90014,x90012),f326(f74(x90011,x90012,x90014,x90013),x90015)),x90016))
% 149.08/148.76 [9002]~P73(x90022)+~P21(x90024,x90021,x90025,x90026)+E(f326(f326(f9(x90021,x90022),x90023),f326(f305(x90024,x90021,x90025),x90026)),f326(f326(f9(x90024,x90022),f326(f74(x90021,x90022,x90024,x90023),x90025)),x90026))
% 149.08/148.76 [9050]~P34(x90502,x90505,x90501,x90503,x90506)+P103(f326(f326(x90501,f326(f326(f161(x90502),x90503),x90504)),f326(f326(f161(x90505),x90506),x90504)))+~P103(f326(f326(f241(a872),x90504),f326(f191(f873(x90505)),x90506)))
% 149.08/148.76 [9051]~P34(x90512,x90515,x90511,x90513,x90516)+P103(f326(f326(x90511,f326(f326(f161(x90512),x90513),x90514)),f326(f326(f161(x90515),x90516),x90514)))+~P103(f326(f326(f241(a872),x90514),f326(f191(f873(x90512)),x90513)))
% 149.08/148.76 [9259]~P15(x92593,x92591,x92596,x92592)+~P103(f326(f62(x92593),x92594))+E(f326(f74(x92591,x92591,x92591,f326(x92592,f326(f326(f22(f880(x92593,a866)),x92594),f326(f326(f304(x92593),x92595),f190(f880(x92593,a866)))))),f326(x92596,x92595)),f326(x92592,f326(f326(f304(x92593),x92595),x92594)))
% 149.08/148.76 [9867]~E(f326(f305(x98672,x98674,x98676),f249(f880(x98672,a866))),f249(f880(x98674,a866)))+~E(f326(f305(x98671,x98673,x98675),f249(f880(x98671,a866))),f249(f880(x98673,a866)))+E(f326(f305(f879(x98671,x98672),f879(x98673,x98674),f266(x98671,x98673,x98672,x98674,x98675,x98676)),f249(f880(f879(x98671,x98672),a866))),f249(f880(f879(x98673,x98674),a866)))
% 149.08/148.76 [9915]~P21(x99153,x99154,x99155,f326(x99156,f595(x99156,x99155,x99154,x99153,x99152,x99151)))+P21(x99153,x99154,x99155,f326(f326(f43(x99152,f880(x99153,a866)),x99151),x99156))+E(x99151,f190(f880(x99152,a866)))
% 149.08/148.76 [9973]P21(x99736,x99735,x99734,f326(f326(f43(x99732,f880(x99736,a866)),x99731),x99733))+E(x99731,f190(f880(x99732,a866)))+P103(f326(f326(f328(x99732),f595(x99733,x99734,x99735,x99736,x99732,x99731)),x99731))
% 149.08/148.76 [9978]P103(f326(f326(f328(x99781),f624(x99782,x99783,x99784,x99785,x99786,x99781)),x99786))+P103(f326(f326(f240(f880(f879(x99781,x99784),a866)),f326(f326(f263(x99781,x99784),x99786),x99783)),f326(f326(f263(x99781,x99784),x99785),x99782)))+~P103(f326(f326(f240(f880(x99781,a866)),x99786),x99785))
% 149.08/148.76 [10016]P20(x100166,x100165,f326(f326(f304(f871(x100166)),f326(f326(f326(f93(x100166),x100161),x100163),x100162)),f190(f880(f871(x100166),a866))))+~P20(x100166,x100165,f326(f326(f304(f871(x100166)),f326(f326(f326(f93(x100166),x100164),x100163),x100162)),f190(f880(f871(x100166),a866))))+P103(f326(f326(x100161,f556(x100161,x100162,x100163,x100164,x100165,x100166)),f665(x100161,x100162,x100163,x100164,x100165,x100166)))
% 149.08/148.76 [10017]P20(x100176,x100175,f326(f326(f304(f871(x100176)),f326(f326(f326(f93(x100176),x100174),x100173),x100172)),f190(f880(f871(x100176),a866))))+~P20(x100176,x100175,f326(f326(f304(f871(x100176)),f326(f326(f326(f93(x100176),x100174),x100173),x100171)),f190(f880(f871(x100176),a866))))+P103(f326(f326(x100171,f783(x100172,x100171,x100173,x100174,x100175,x100176)),f828(x100172,x100171,x100173,x100174,x100175,x100176)))
% 149.08/148.76 [10055]~P20(x100551,x100552,f326(f326(f304(f871(x100551)),f326(f326(f326(f93(x100551),x100553),x100554),x100556)),f190(f880(f871(x100551),a866))))+P20(x100551,x100552,f326(f326(f304(f871(x100551)),f326(f326(f326(f93(x100551),x100553),x100554),x100555)),f190(f880(f871(x100551),a866))))+~P103(f326(f326(x100555,f783(x100555,x100556,x100554,x100553,x100552,x100551)),f828(x100555,x100556,x100554,x100553,x100552,x100551)))
% 149.08/148.76 [10056]~P20(x100561,x100562,f326(f326(f304(f871(x100561)),f326(f326(f326(f93(x100561),x100566),x100564),x100565)),f190(f880(f871(x100561),a866))))+P20(x100561,x100562,f326(f326(f304(f871(x100561)),f326(f326(f326(f93(x100561),x100563),x100564),x100565)),f190(f880(f871(x100561),a866))))+~P103(f326(f326(x100566,f556(x100563,x100565,x100564,x100566,x100562,x100561)),f665(x100563,x100565,x100564,x100566,x100562,x100561)))
% 149.08/148.76 [10091]~P103(f326(f326(f240(f880(x100912,a866)),f326(x100914,f624(x100916,x100914,x100912,x100915,x100913,x100911))),f326(x100916,f624(x100916,x100914,x100912,x100915,x100913,x100911))))+~P103(f326(f326(f240(f880(x100911,a866)),x100913),x100915))+P103(f326(f326(f240(f880(f879(x100911,x100912),a866)),f326(f326(f263(x100911,x100912),x100913),x100914)),f326(f326(f263(x100911,x100912),x100915),x100916)))
% 149.08/148.76 [7732]~P103(f326(x77321,x77325))+~P103(f326(x77326,x77324))+P103(f326(x77321,f326(f264(x77322,x77323),f326(f326(f261(x77322,x77323),x77324),x77325))))
% 149.08/148.76 [7733]~P103(f326(x77331,x77334))+~P103(f326(x77336,x77335))+P103(f326(x77331,f326(f260(x77332,x77333),f326(f326(f261(x77332,x77333),x77334),x77335))))
% 149.08/148.76 [7755]~E(f326(f191(f873(x77551)),x77553),f326(f191(f873(x77554)),x77555))+~E(f326(f326(f174(x77551,x77554),f326(f326(f178(x77551,x77554),x77553),x77555)),x77552),f326(f233(x77554),x77556))+P103(f326(f326(f328(x77551),x77552),f326(f168(x77551),x77553)))
% 149.08/148.76 [7782]~P103(f326(f326(x77824,x77826),x77825))+~P103(f326(f326(f328(x77821),x77826),x77823))+P103(f326(f326(f326(f42(x77821,f880(x77822,a866)),x77823),x77824),x77825))
% 149.08/148.76 [8091]~P103(f326(f326(f328(x80911),x80912),f326(x80915,x80916)))+~P103(f326(f326(f328(x80913),x80916),x80914))+P103(f326(f326(f328(x80911),x80912),f326(f326(f42(x80913,f880(x80911,a866)),x80914),x80915)))
% 149.08/148.76 [8134]P103(f326(f326(x81341,x81342),x81343))+~P103(f326(f326(x81344,x81342),x81343))+~P103(f326(f326(f240(f880(x81345,f880(x81346,a866))),x81344),x81341))
% 149.08/148.76 [8280]P103(f326(f326(x82801,x82802),x82803))+~P103(f326(f326(f328(x82804),x82802),x82805))+~P103(f326(f326(f326(f43(x82804,f880(x82806,a866)),x82805),x82801),x82803))
% 149.08/148.76 [8416]P103(f326(f326(f328(x84161),x84162),f326(x84163,x84164)))+~P103(f326(f326(f328(x84165),x84164),x84166))+~P103(f326(f326(f328(x84161),x84162),f326(f326(f43(x84165,f880(x84161,a866)),x84166),x84163)))
% 149.08/148.76 [8609]~P103(f326(f326(f326(f326(a199,x86091),x86093),x86094),x86096))+~P103(f326(f326(f326(f326(a199,x86092),x86096),x86094),x86095))+P103(f326(f326(f326(f326(a199,f34(x86091,x86092)),x86093),x86094),x86095))
% 149.08/148.76 [8678]~P9(x86784,x86785,x86786,x86781)+E(f326(x86781,x86782),f326(x86781,x86783))+~P103(f326(f326(f328(f879(x86784,x86784)),f326(f326(f261(x86784,x86784),x86782),x86783)),x86786))
% 149.08/148.76 [8709]P103(f326(f326(f240(f880(x87091,a866)),x87092),f326(x87093,x87094)))+~P103(f326(f326(f328(x87095),x87094),x87096))+~P103(f326(f326(f240(f880(x87091,a866)),x87092),f326(f326(f43(x87095,f880(x87091,a866)),x87096),x87093)))
% 149.08/148.76 [8738]~P50(x87383,x87384,f326(f281(x87384,x87383),x87385))+E(x87381,f190(f880(x87382,a866)))+E(f326(f326(f43(x87382,f880(x87383,a866)),x87381),f326(f326(f8(f880(x87384,a866),f880(x87383,a866),x87382),f280(x87384,x87383,x87385)),x87386)),f326(f280(x87384,x87383,x87385),f326(f326(f43(x87382,f880(x87384,a866)),x87381),x87386)))
% 149.08/148.76 [8814]P103(f326(f326(f328(x88141),x88142),f326(f280(x88143,x88141,x88144),x88145)))+~P103(f326(f326(f328(x88143),x88146),x88145))+~P103(f326(f326(f328(f879(x88143,x88141)),f326(f326(f261(x88143,x88141),x88146),x88142)),x88144))
% 149.08/148.76 [8932]P103(f326(x89321,x89322))+~P103(f326(f326(f326(f326(a199,x89324),x89322),x89325),x89326))+P103(f326(f326(f326(f326(a199,f31(x89321,x89323,x89324)),x89322),x89325),x89326))
% 149.08/148.76 [8949]~P103(f326(x89491,x89494))+~P103(f326(f326(f326(f326(a199,x89492),x89494),x89495),x89496))+P103(f326(f326(f326(f326(a199,f31(x89491,x89492,x89493)),x89494),x89495),x89496))
% 149.08/148.76 [9123]P103(f326(f326(f240(f880(x91231,a866)),f326(f280(x91232,x91231,x91233),x91234)),f326(f280(x91232,x91231,x91235),x91236)))+~P103(f326(f326(f240(f880(x91232,a866)),x91234),x91236))+~P103(f326(f326(f240(f880(f879(x91232,x91231),a866)),x91233),x91235))
% 149.08/148.76 [9211]P103(f326(x92111,x92112))+P103(f326(f326(f326(f326(a199,x92113),x92112),x92114),x92115))+~P103(f326(f326(f326(f326(a199,f31(x92111,x92116,x92113)),x92112),x92114),x92115))
% 149.08/148.76 [9216]~P103(f326(x92165,x92162))+P103(f326(f326(f326(f326(a199,x92161),x92162),x92163),x92164))+~P103(f326(f326(f326(f326(a199,f31(x92165,x92161,x92166)),x92162),x92163),x92164))
% 149.08/148.76 [9266]P103(f326(f326(f326(f326(a199,x92661),x92662),x92663),x92664))+P103(f326(f326(f326(f326(a199,x92665),x92662),x92663),x92664))+~P103(f326(f326(f326(f326(a199,f31(x92666,x92661,x92665)),x92662),x92663),x92664))
% 149.08/148.76 [9308]~P103(f326(f326(f328(x93082),x93086),x93084))+~P103(f326(f326(f240(f880(x93081,a866)),x93083),x93085))+P103(f326(f326(f240(f880(f879(x93081,x93082),a866)),f326(f326(f263(x93081,x93082),x93083),f326(f16(f880(x93082,a866),x93081),x93084))),f326(f326(f263(x93081,x93082),x93085),f326(f16(f880(x93082,a866),x93081),x93084))))
% 149.08/148.76 [9321]~P34(x93211,x93212,x93213,x93215,x93216)+P103(f326(f326(f265(x93211,x93212,a866),x93213),x93214))+~P103(f326(f326(f328(f879(x93211,x93212)),x93214),f326(f168(f879(x93211,x93212)),f326(f326(f178(x93211,x93212),x93215),x93216))))
% 149.08/148.76 [9455]~E(x94553,x94555)+P103(f326(f326(f328(f879(f873(x94551),f873(x94551))),f326(f326(f261(f873(x94551),f873(x94551)),f326(f326(f147(x94551),x94552),x94553)),f326(f326(f147(x94551),x94554),x94555))),f153(x94551,x94556)))+~P103(f326(f326(f328(f879(x94551,x94551)),f326(f326(f261(x94551,x94551),x94552),x94554)),x94556))
% 149.08/148.76 [9461]~E(f326(f191(f873(x94611)),x94615),f326(f191(f873(x94612)),x94616))+E(f183(x94611,x94612,f184(x94611,x94612,x94613,f326(f326(f22(f880(x94611,a866)),x94614),f326(f168(x94611),x94615))),x94615,x94616),f184(x94611,x94612,f183(x94611,x94612,x94613,x94615,x94616),x94614))+~P103(f326(f326(f240(f880(x94611,a866)),f326(f168(x94611),x94615)),x94614))
% 149.08/148.76 [9462]~E(f326(f191(f873(x94621)),x94623),f326(f191(f873(x94621)),x94625))+P103(f326(f326(f328(f879(f873(x94621),f873(x94621))),f326(f326(f261(f873(x94621),f873(x94621)),f326(f326(f147(x94621),x94622),x94623)),f326(f326(f147(x94621),x94624),x94625))),f141(x94621,x94626)))+~P103(f326(f326(f328(f879(x94621,x94621)),f326(f326(f261(x94621,x94621),x94622),x94624)),x94626))
% 149.08/148.76 [9492]P103(f326(f326(f328(f879(x94921,x94921)),f326(f326(f261(x94921,x94921),x94922),x94923)),f326(f326(f185(f879(x94921,x94921),a866),f326(a117,x94924)),x94925)))+~P103(f326(f326(f328(f879(x94921,x94921)),f326(f326(f261(x94921,x94921),x94926),x94923)),x94925))+~P103(f326(f326(f328(f879(x94921,x94921)),f326(f326(f261(x94921,x94921),x94922),x94926)),f326(f326(f185(f879(x94921,x94921),a866),x94924),x94925)))
% 149.08/148.76 [9493]P103(f326(f326(f328(f879(x94931,x94931)),f326(f326(f261(x94931,x94931),x94932),x94933)),f326(f326(f185(f879(x94931,x94931),a866),f326(a117,x94934)),x94935)))+~P103(f326(f326(f328(f879(x94931,x94931)),f326(f326(f261(x94931,x94931),x94932),x94936)),x94935))+~P103(f326(f326(f328(f879(x94931,x94931)),f326(f326(f261(x94931,x94931),x94936),x94933)),f326(f326(f185(f879(x94931,x94931),a866),x94934),x94935)))
% 149.08/148.76 [9497]~P103(f326(f326(f328(x94974),x94975),x94976))+P103(f326(f326(f240(f880(x94971,a866)),x94972),x94973))+~P103(f326(f326(f240(f880(f879(x94971,x94974),a866)),f326(f326(f263(x94971,x94974),x94972),f326(f16(f880(x94974,a866),x94971),x94976))),f326(f326(f263(x94971,x94974),x94973),f326(f16(f880(x94974,a866),x94971),x94976))))
% 149.08/148.76 [9541]E(x95411,x95412)+~P103(f326(f326(f328(f879(f873(x95413),f873(x95413))),f326(f326(f261(f873(x95413),f873(x95413)),f326(f326(f147(x95413),x95411),x95415)),f326(f326(f147(x95413),x95412),x95416))),f141(x95413,x95414)))+P103(f326(f326(f328(f879(x95413,x95413)),f326(f326(f261(x95413,x95413),x95411),x95412)),x95414))
% 149.08/148.76 [9542]E(x95421,x95422)+~P103(f326(f326(f328(f879(f873(x95423),f873(x95423))),f326(f326(f261(f873(x95423),f873(x95423)),f326(f326(f147(x95423),x95421),x95425)),f326(f326(f147(x95423),x95422),x95426))),f143(x95423,x95424)))+P103(f326(f326(f328(f879(x95423,x95423)),f326(f326(f261(x95423,x95423),x95421),x95422)),x95424))
% 149.08/148.76 [9543]E(x95431,x95432)+~P103(f326(f326(f328(f879(f873(x95433),f873(x95433))),f326(f326(f261(f873(x95433),f873(x95433)),f326(f326(f147(x95433),x95431),x95435)),f326(f326(f147(x95433),x95432),x95436))),f153(x95433,x95434)))+P103(f326(f326(f328(f879(x95433,x95433)),f326(f326(f261(x95433,x95433),x95431),x95432)),x95434))
% 149.08/148.76 [9578]P103(f326(f326(f328(f879(f873(x95781),f873(x95781))),f326(f326(f261(f873(x95781),f873(x95781)),f326(f326(f147(x95781),x95782),x95783)),f326(f326(f147(x95781),x95784),x95785))),f154(x95781,x95786)))+~P103(f326(f326(f328(f879(f873(x95781),f873(x95781))),f326(f326(f261(f873(x95781),f873(x95781)),x95783),x95785)),f154(x95781,x95786)))+~P103(f326(f326(f328(f879(x95781,x95781)),f326(f326(f261(x95781,x95781),x95782),x95784)),x95786))
% 149.08/148.76 [9596]P103(f326(x95961,x95962))+~P103(f326(x95961,f674(x95961,x95963,x95964,x95965,x95966)))+~P103(f326(f326(f328(x95966),x95962),f326(f326(f42(x95965,f880(x95966,a866)),x95964),x95963)))
% 149.08/148.76 [9601]~P103(f326(f326(f328(f879(f873(x96011),f873(x96011))),f326(f326(f261(f873(x96011),f873(x96011)),f326(f326(f147(x96011),x96012),x96015)),f326(f326(f147(x96011),x96013),x96016))),f141(x96011,x96014)))+P103(f326(f326(f328(f879(f873(x96011),f873(x96011))),f326(f326(f261(f873(x96011),f873(x96011)),x96015),x96016)),f141(x96011,x96014)))+P103(f326(f326(f328(f879(x96011,x96011)),f326(f326(f261(x96011,x96011),x96012),x96013)),x96014))
% 149.08/148.76 [9602]~P103(f326(f326(f328(f879(f873(x96021),f873(x96021))),f326(f326(f261(f873(x96021),f873(x96021)),f326(f326(f147(x96021),x96022),x96025)),f326(f326(f147(x96021),x96023),x96026))),f143(x96021,x96024)))+P103(f326(f326(f328(f879(f873(x96021),f873(x96021))),f326(f326(f261(f873(x96021),f873(x96021)),x96025),x96026)),f143(x96021,x96024)))+P103(f326(f326(f328(f879(x96021,x96021)),f326(f326(f261(x96021,x96021),x96022),x96023)),x96024))
% 149.08/148.76 [9603]~P103(f326(f326(f328(f879(f873(x96031),f873(x96031))),f326(f326(f261(f873(x96031),f873(x96031)),f326(f326(f147(x96031),x96032),x96035)),f326(f326(f147(x96031),x96033),x96036))),f153(x96031,x96034)))+P103(f326(f326(f328(f879(f873(x96031),f873(x96031))),f326(f326(f261(f873(x96031),f873(x96031)),x96035),x96036)),f153(x96031,x96034)))+P103(f326(f326(f328(f879(x96031,x96031)),f326(f326(f261(x96031,x96031),x96032),x96033)),x96034))
% 149.08/148.76 [9686]P103(f326(x96861,x96862))+P103(f326(f326(f328(x96863),f664(x96861,x96864,x96865,x96863,x96866)),x96865))+~P103(f326(f326(f328(x96866),x96862),f326(f326(f42(x96863,f880(x96866,a866)),x96865),x96864)))
% 149.08/148.76 [9697]~E(x96972,x96974)+P103(f326(f326(f328(f879(f873(x96971),f873(x96971))),f326(f326(f261(f873(x96971),f873(x96971)),f326(f326(f126(x96971),x96972),f326(f326(f147(x96971),x96973),f118(x96971)))),f326(f326(f126(x96971),x96974),f326(f326(f147(x96971),x96975),f118(x96971))))),f153(x96971,x96976)))+~P103(f326(f326(f328(f879(x96971,x96971)),f326(f326(f261(x96971,x96971),x96973),x96975)),x96976))
% 149.08/148.76 [9784]E(x97841,x97842)+~P103(f326(f326(f328(f879(f873(x97843),f873(x97843))),f326(f326(f261(f873(x97843),f873(x97843)),f326(f326(f126(x97843),x97845),f326(f326(f147(x97843),x97841),f118(x97843)))),f326(f326(f126(x97843),x97846),f326(f326(f147(x97843),x97842),f118(x97843))))),f153(x97843,x97844)))+P103(f326(f326(f328(f879(x97843,x97843)),f326(f326(f261(x97843,x97843),x97841),x97842)),x97844))
% 149.08/148.76 [9812]~P103(f326(f326(f328(f879(f873(x98121),f873(x98121))),f326(f326(f261(f873(x98121),f873(x98121)),f326(f326(f126(x98121),x98125),f326(f326(f147(x98121),x98122),f118(x98121)))),f326(f326(f126(x98121),x98126),f326(f326(f147(x98121),x98123),f118(x98121))))),f153(x98121,x98124)))+P103(f326(f326(f328(f879(f873(x98121),f873(x98121))),f326(f326(f261(f873(x98121),f873(x98121)),x98125),x98126)),f153(x98121,x98124)))+P103(f326(f326(f328(f879(x98121,x98121)),f326(f326(f261(x98121,x98121),x98122),x98123)),x98124))
% 149.08/148.76 [9830]P103(f326(x98301,x98302))+P103(f326(f326(f328(x98303),f674(x98301,x98304,x98305,x98306,x98303)),f326(x98304,f664(x98301,x98304,x98305,x98306,x98303))))+~P103(f326(f326(f328(x98303),x98302),f326(f326(f42(x98306,f880(x98303,a866)),x98305),x98304)))
% 149.08/148.76 [8829]~P12(x88293,x88294,x88291)+~P103(f326(f62(x88293),x88296))+E(f326(f326(x88291,x88292),f326(f326(f65(x88293,x88294,x88291),x88295),f326(f326(f22(f880(x88293,a866)),x88296),f326(f326(f304(x88293),x88292),f190(f880(x88293,a866)))))),f326(f326(f65(x88293,x88294,x88291),x88295),f326(f326(f304(x88293),x88292),x88296)))
% 149.08/148.76 [8915]~E(f326(f326(f174(x89151,x89152),x89154),x89155),f326(f233(x89152),x89156))+~P103(f326(f326(x89153,x89155),x89156))+E(f326(f326(f174(x89151,x89152),f326(f132(f879(x89151,x89152),f326(f265(x89151,x89152,a866),x89153)),x89154)),x89155),f326(f233(x89152),x89156))
% 149.08/148.76 [9130]~P103(f326(f326(f328(x91305),x91303),x91306))+P103(f326(f326(f240(f880(x91301,a866)),f326(x91302,x91303)),x91304))+~P103(f326(f326(f240(f880(x91301,a866)),f326(f326(f42(x91305,f880(x91301,a866)),x91306),x91302)),x91304))
% 149.08/148.76 [9757]~P3(x97571,x97575,x97574)+P103(f326(f326(f328(f879(x97571,x97571)),f326(f326(f261(x97571,x97571),x97572),x97573)),x97574))+~P103(f326(f326(f328(x97571),x97576),f326(f326(f106(f880(x97571,a866)),f326(f280(x97571,x97571,x97574),f326(f326(f304(x97571),x97572),f190(f880(x97571,a866))))),f326(f280(x97571,x97571,x97574),f326(f326(f304(x97571),x97573),f190(f880(x97571,a866)))))))
% 149.08/148.76 [8576]~P123(x85762)+~E(f326(f326(f81(x85762),f326(f326(f82(x85762),x85764),x85765)),x85761),f326(f326(f81(x85762),f326(f326(f82(x85762),x85763),x85765)),x85766))+E(x85761,f326(f326(f81(x85762),f326(f326(f82(x85762),f326(f326(f22(x85762),x85763),x85764)),x85765)),x85766))
% 149.08/148.76 [8577]~P123(x85771)+~E(f326(f326(f81(x85771),f326(f326(f82(x85771),x85772),x85774)),x85775),f326(f326(f81(x85771),f326(f326(f82(x85771),x85773),x85774)),x85776))+E(f326(f326(f81(x85771),f326(f326(f82(x85771),f326(f326(f22(x85771),x85772),x85773)),x85774)),x85775),x85776)
% 149.08/148.76 [8741]~P123(x87411)+E(f326(f326(f81(x87411),f326(f326(f82(x87411),x87412),x87413)),x87414),f326(f326(f81(x87411),f326(f326(f82(x87411),x87415),x87413)),x87416))+~E(x87416,f326(f326(f81(x87411),f326(f326(f82(x87411),f326(f326(f22(x87411),x87412),x87415)),x87413)),x87414))
% 149.08/148.76 [8742]~P123(x87421)+E(f326(f326(f81(x87421),f326(f326(f82(x87421),x87422),x87423)),x87424),f326(f326(f81(x87421),f326(f326(f82(x87421),x87425),x87423)),x87426))+~E(f326(f326(f81(x87421),f326(f326(f82(x87421),f326(f326(f22(x87421),x87422),x87425)),x87423)),x87424),x87426)
% 149.08/148.76 [9070]~P103(f326(f326(x90704,x90705),x90706))+~P103(f326(f326(x90703,x90705),x90706))+P103(f326(f326(f326(f326(f106(f880(x90701,f880(x90702,a866))),x90703),x90704),x90705),x90706))
% 149.08/148.76 [9329]P103(f326(f326(x93291,x93292),x93293))+P103(f326(f326(x93294,x93292),x93293))+~P103(f326(f326(f326(f326(f115(f880(x93295,f880(x93296,a866))),x93294),x93291),x93292),x93293))
% 149.08/148.76 [9616]~P131(x96161)+~P103(f326(f326(f240(x96161),f326(f326(f81(x96161),f326(f326(f82(x96161),x96164),x96165)),x96162)),f326(f326(f81(x96161),f326(f326(f82(x96161),x96163),x96165)),x96166)))+P103(f326(f326(f240(x96161),x96162),f326(f326(f81(x96161),f326(f326(f82(x96161),f326(f326(f22(x96161),x96163),x96164)),x96165)),x96166)))
% 149.08/148.76 [9617]~P131(x96171)+~P103(f326(f326(f241(x96171),f326(f326(f81(x96171),f326(f326(f82(x96171),x96174),x96175)),x96172)),f326(f326(f81(x96171),f326(f326(f82(x96171),x96173),x96175)),x96176)))+P103(f326(f326(f241(x96171),x96172),f326(f326(f81(x96171),f326(f326(f82(x96171),f326(f326(f22(x96171),x96173),x96174)),x96175)),x96176)))
% 149.08/148.76 [9640]~P131(x96401)+P103(f326(f326(f240(x96401),f326(f326(f81(x96401),f326(f326(f82(x96401),x96402),x96403)),x96404)),f326(f326(f81(x96401),f326(f326(f82(x96401),x96405),x96403)),x96406)))+~P103(f326(f326(f240(x96401),x96404),f326(f326(f81(x96401),f326(f326(f82(x96401),f326(f326(f22(x96401),x96405),x96402)),x96403)),x96406)))
% 149.08/148.76 [9641]~P131(x96411)+P103(f326(f326(f241(x96411),f326(f326(f81(x96411),f326(f326(f82(x96411),x96412),x96413)),x96414)),f326(f326(f81(x96411),f326(f326(f82(x96411),x96415),x96413)),x96416)))+~P103(f326(f326(f241(x96411),x96414),f326(f326(f81(x96411),f326(f326(f82(x96411),f326(f326(f22(x96411),x96415),x96412)),x96413)),x96416)))
% 149.08/148.76 [9745]~P131(x97451)+~P103(f326(f326(f240(x97451),f326(f326(f81(x97451),f326(f326(f82(x97451),x97452),x97454)),x97455)),f326(f326(f81(x97451),f326(f326(f82(x97451),x97453),x97454)),x97456)))+P103(f326(f326(f240(x97451),f326(f326(f81(x97451),f326(f326(f82(x97451),f326(f326(f22(x97451),x97452),x97453)),x97454)),x97455)),x97456))
% 149.08/148.76 [9746]~P131(x97461)+~P103(f326(f326(f241(x97461),f326(f326(f81(x97461),f326(f326(f82(x97461),x97462),x97464)),x97465)),f326(f326(f81(x97461),f326(f326(f82(x97461),x97463),x97464)),x97466)))+P103(f326(f326(f241(x97461),f326(f326(f81(x97461),f326(f326(f82(x97461),f326(f326(f22(x97461),x97462),x97463)),x97464)),x97465)),x97466))
% 149.08/148.76 [9795]~P131(x97951)+P103(f326(f326(f240(x97951),f326(f326(f81(x97951),f326(f326(f82(x97951),x97952),x97953)),x97954)),f326(f326(f81(x97951),f326(f326(f82(x97951),x97955),x97953)),x97956)))+~P103(f326(f326(f240(x97951),f326(f326(f81(x97951),f326(f326(f82(x97951),f326(f326(f22(x97951),x97952),x97955)),x97953)),x97954)),x97956))
% 149.08/148.76 [9796]~P131(x97961)+P103(f326(f326(f241(x97961),f326(f326(f81(x97961),f326(f326(f82(x97961),x97962),x97963)),x97964)),f326(f326(f81(x97961),f326(f326(f82(x97961),x97965),x97963)),x97966)))+~P103(f326(f326(f241(x97961),f326(f326(f81(x97961),f326(f326(f82(x97961),f326(f326(f22(x97961),x97962),x97965)),x97963)),x97964)),x97966))
% 149.08/148.76 [9967]~P72(x99672)+~P103(f326(f62(x99671),x99676))+E(f326(f326(f6(x99671,x99672),f326(f326(f18(x99671,x99672,x99672),f326(f326(f18(x99671,x99672,f880(x99672,x99672)),f326(f326(f8(a866,f880(x99672,f880(x99672,x99672)),x99671),f101(x99672)),x99673)),x99674)),x99675)),x99676),f326(f326(f81(x99672),f326(f326(f6(x99671,x99672),x99674),f326(f326(f106(f880(x99671,a866)),x99676),f326(f246(x99671),x99673)))),f326(f326(f6(x99671,x99672),x99675),f326(f326(f106(f880(x99671,a866)),x99676),f326(f80(f880(x99671,a866)),f326(f246(x99671),x99673))))))
% 149.08/148.76 [10025]P103(f326(f326(f328(x100252),x100254),x100256))+P103(f326(f326(f328(x100252),x100255),x100256))+E(f326(f306(x100251,x100252,f326(f326(f7(x100251,x100252,x100252),f326(f326(f7(x100251,x100252,f880(x100252,x100252)),f326(f326(f8(a866,f880(x100252,f880(x100252,x100252)),x100251),f101(x100252)),f326(f326(f7(x100251,f880(x100251,a866),a866),f328(x100251)),x100253))),x100254)),x100255)),x100256),f190(f880(x100251,a866)))
% 149.08/148.76 [10026]P103(f326(f326(f328(x100262),x100265),x100266))+~P103(f326(f326(f328(x100262),x100264),x100266))+E(f326(f306(x100261,x100262,f326(f326(f7(x100261,x100262,x100262),f326(f326(f7(x100261,x100262,f880(x100262,x100262)),f326(f326(f8(a866,f880(x100262,f880(x100262,x100262)),x100261),f101(x100262)),f326(f326(f7(x100261,f880(x100261,a866),a866),f328(x100261)),x100263))),x100264)),x100265)),x100266),x100263)
% 149.08/148.76 [10027]P103(f326(f326(f328(x100272),x100274),x100276))+~P103(f326(f326(f328(x100272),x100275),x100276))+E(f326(f306(x100271,x100272,f326(f326(f7(x100271,x100272,x100272),f326(f326(f7(x100271,x100272,f880(x100272,x100272)),f326(f326(f8(a866,f880(x100272,f880(x100272,x100272)),x100271),f101(x100272)),f326(f326(f7(x100271,f880(x100271,a866),a866),f328(x100271)),x100273))),x100274)),x100275)),x100276),f326(f80(f880(x100271,a866)),x100273))
% 149.08/148.76 [10028]~P103(f326(f326(f328(x100282),x100284),x100286))+~P103(f326(f326(f328(x100282),x100285),x100286))+E(f326(f306(x100281,x100282,f326(f326(f7(x100281,x100282,x100282),f326(f326(f7(x100281,x100282,f880(x100282,x100282)),f326(f326(f8(a866,f880(x100282,f880(x100282,x100282)),x100281),f101(x100282)),f326(f326(f7(x100281,f880(x100281,a866),a866),f328(x100281)),x100283))),x100284)),x100285)),x100286),f249(f880(x100281,a866)))
% 149.08/148.76 [10157]P20(x101571,x101572,f326(f326(f304(f871(x101571)),f326(f326(f326(f93(x101571),f326(x101573,x101574)),f326(a26,x101574)),f326(x101575,x101574))),f190(f880(f871(x101571),a866))))+~P103(f326(f326(f328(a869),x101574),x101576))+~P20(x101571,f326(f326(f115(f880(f871(x101571),a866)),x101572),f326(f305(a869,f871(x101571),f326(f326(f18(a869,f880(x101571,f880(a867,a866)),f871(x101571)),f326(f326(f18(a869,a868,f880(f880(x101571,f880(a867,a866)),f871(x101571))),f326(f326(f8(f880(x101571,f880(a867,a866)),f880(a868,f880(f880(x101571,f880(a867,a866)),f871(x101571))),a869),f93(x101571)),x101573)),a26)),x101575)),x101576)),f326(f305(a869,f871(x101571),f326(f326(f18(a869,f880(x101571,f880(a867,a866)),f871(x101571)),f326(f326(f18(a869,a868,f880(f880(x101571,f880(a867,a866)),f871(x101571))),f326(f326(f8(f880(x101571,f880(a867,a866)),f880(a868,f880(f880(x101571,f880(a867,a866)),f871(x101571))),a869),f93(x101571)),x101573)),f326(f326(f8(f876(a868),a868,a869),f237(a868)),a28))),x101575)),x101576))
% 149.08/148.76 [8606]E(x86061,x86062)+~P52(x86064,x86065,x86063,x86066,x86067)+~E(f326(x86063,x86061),f326(x86063,x86062))
% 149.08/148.76 [6988]E(f326(f235(f876(x69881),x69882,f193(x69881),x69883),f326(x69884,x69885)),f326(f233(x69881),x69886))+~E(f326(x69884,x69885),f326(f233(x69882),x69887))+~E(f326(x69883,x69887),f326(f233(x69881),x69886))
% 149.08/148.76 [8634]~P6(x86346,x86345,x86347,x86344,x86341)+E(f326(f326(x86341,x86342),x86343),x86344)+P103(f326(f62(x86345),x86343))
% 149.08/148.76 [9482]P41(x94821,x94822,x94823,x94824,x94825,f326(f326(x94823,x94826),x94827))+~E(f326(f326(x94823,x94826),x94827),x94824)+~E(x94825,f190(f880(x94821,a866)))
% 149.08/148.76 [9662]~P103(f326(x96626,x96623))+~P103(f326(f326(f328(f879(x96622,x96622)),f326(f326(f261(x96622,x96622),x96624),x96625)),f326(x96627,x96623)))+P103(f326(f326(f328(f879(f879(x96621,x96622),f879(x96621,x96622))),f326(f326(f261(f879(x96621,x96622),f879(x96621,x96622)),f326(f326(f261(x96621,x96622),x96623),x96624)),f326(f326(f261(x96621,x96622),x96623),x96625))),f278(x96621,x96622,x96626,x96627)))
% 149.08/148.76 [10082]~P41(x100822,x100827,x100823,x100826,x100821,f326(f326(x100823,x100825),x100824))+E(f326(f326(x100823,f534(x100824,x100825,x100821,x100826,x100823,x100827,x100822)),f535(x100824,x100825,x100821,x100826,x100823,x100827,x100822)),f326(f326(x100823,x100825),x100824))+E(x100821,f190(f880(x100822,a866)))
% 149.08/148.76 [10083]~P41(x100837,x100836,x100831,x100834,x100835,f326(f326(x100831,x100832),x100833))+E(f326(f326(x100831,f534(x100833,x100832,x100835,x100834,x100831,x100836,x100837)),f535(x100833,x100832,x100835,x100834,x100831,x100836,x100837)),f326(f326(x100831,x100832),x100833))+E(f326(f326(x100831,x100832),x100833),x100834)
% 149.08/148.76 [9168]~P34(x91681,x91682,x91683,x91685,x91687)+P34(x91681,x91682,x91683,f326(f326(f147(x91681),x91684),x91685),f326(f326(f147(x91682),x91686),x91687))+~P103(f326(f326(x91683,x91684),x91686))
% 149.08/148.76 [9186]P34(x91861,x91862,x91863,x91864,x91865)+~P34(x91861,x91862,x91863,f326(f326(f126(x91861),x91866),x91864),f326(f326(f126(x91862),x91867),x91865))+~E(f326(f191(f873(x91861)),x91866),f326(f191(f873(x91862)),x91867))
% 149.08/148.76 [9187]P34(x91871,x91872,x91873,x91874,x91875)+~P34(x91871,x91872,x91873,f326(f326(f126(x91871),x91874),x91876),f326(f326(f126(x91872),x91875),x91877))+~E(f326(f191(f873(x91871)),x91874),f326(f191(f873(x91872)),x91875))
% 149.08/148.76 [9392]~P34(x93921,x93922,x93923,x93925,x93927)+~P34(x93921,x93922,x93923,x93924,x93926)+P34(x93921,x93922,x93923,f326(f326(f126(x93921),x93924),x93925),f326(f326(f126(x93922),x93926),x93927))
% 149.08/148.76 [9734]~P103(f326(f67(x97341,x97344,x97345,x97346,x97343),x97347))+P103(f326(f67(x97341,x97344,x97345,x97346,f326(f326(f304(x97341),x97342),x97343)),f326(f326(x97345,x97342),x97347)))+P103(f326(f326(f328(x97341),x97342),x97343))
% 149.08/148.76 [9865]~P21(x98653,x98651,x98654,f249(f880(x98653,a866)))+E(f326(f326(f174(x98651,x98652),f326(f326(f150(f879(x98653,x98652),f879(x98651,x98652)),f326(f265(x98653,x98652,f879(x98651,x98652)),f326(f326(f8(x98651,f880(x98652,f879(x98651,x98652)),x98653),f261(x98651,x98652)),x98654))),x98655)),f326(x98654,x98656)),f326(f233(x98652),x98657))+~E(f326(f326(f174(x98653,x98652),x98655),x98656),f326(f233(x98652),x98657))
% 149.08/148.76 [10103]~P41(x101032,x101037,x101036,x101035,x101031,f326(f326(x101036,x101034),x101033))+E(x101031,f190(f880(x101032,a866)))+P103(f326(f326(f328(x101032),f534(x101033,x101034,x101031,x101035,x101036,x101037,x101032)),x101031))
% 149.08/148.76 [10104]~P41(x101045,x101047,x101041,x101044,x101046,f326(f326(x101041,x101042),x101043))+E(f326(f326(x101041,x101042),x101043),x101044)+P103(f326(f326(f328(x101045),f534(x101043,x101042,x101046,x101044,x101041,x101047,x101045)),x101046))
% 149.08/148.76 [6776]~E(x67765,x67767)+~E(x67766,x67764)+E(f326(f326(f326(f326(f73(x67761,f876(x67762)),x67763),x67764),f326(f233(x67762),x67765)),x67766),f326(f233(x67762),x67767))
% 149.08/148.76 [6904]E(x69041,x69042)+~E(f326(x69045,x69041),f326(f233(x69044),x69047))+E(f326(f326(f326(f326(f73(x69043,f876(x69044)),x69045),x69042),f326(f233(x69044),x69046)),x69041),f326(f233(x69044),x69047))
% 149.08/148.76 [7623]E(x76231,x76232)+~E(x76233,x76234)+~E(f326(f326(f326(f326(f73(x76235,f876(x76236)),x76237),x76234),f326(f233(x76236),x76231)),x76233),f326(f233(x76236),x76232))
% 149.08/148.76 [7688]E(x76881,x76882)+E(f326(x76883,x76884),f326(f233(x76885),x76881))+~E(f326(f326(f326(f326(f73(x76886,f876(x76885)),x76883),x76887),f326(f233(x76885),x76882)),x76884),f326(f233(x76885),x76881))
% 149.08/148.76 [7689]E(x76891,x76892)+E(f326(x76893,x76891),f326(f233(x76894),x76895))+~E(f326(f326(f326(f326(f73(x76896,f876(x76894)),x76893),x76892),f326(f233(x76894),x76897)),x76891),f326(f233(x76894),x76895))
% 149.08/148.76 [8854]~P17(x88544,x88545,x88546,x88547,x88541)+~P103(f326(f62(x88545),x88543))+E(f326(f326(x88541,x88542),x88543),f326(f326(f326(f66(x88544,x88545,x88546),x88542),x88547),x88543))
% 149.08/148.76 [8855]~P6(x88554,x88555,x88556,x88557,x88551)+~P103(f326(f62(x88555),x88553))+E(f326(f326(x88551,x88552),x88553),f326(f326(f326(f66(x88554,x88555,x88556),x88552),x88557),x88553))
% 149.08/148.76 [9448]~P20(x94481,x94482,f326(f326(f304(f871(x94481)),f326(f326(f326(f93(x94481),x94483),x94484),x94487)),f190(f880(f871(x94481),a866))))+P20(x94481,x94482,f326(f326(f304(f871(x94481)),f326(f326(f326(f93(x94481),x94483),f34(x94484,x94485)),x94486)),f190(f880(f871(x94481),a866))))+~P20(x94481,x94482,f326(f326(f304(f871(x94481)),f326(f326(f326(f93(x94481),x94487),x94485),x94486)),f190(f880(f871(x94481),a866))))
% 149.08/148.76 [9635]~P19(x96353,x96354,x96355,x96357,x96356,x96351)+~P103(f326(f62(x96354),x96352))+E(f326(x96351,x96352),f326(f326(f326(f66(x96353,x96354,x96355),x96356),x96357),x96352))
% 149.08/148.76 [9790]P41(x97901,x97902,x97903,x97904,x97905,f326(f326(x97903,x97906),x97907))+~P41(x97901,x97902,x97903,x97904,f326(f326(f22(f880(x97901,a866)),x97905),f326(f326(f304(x97901),x97906),f190(f880(x97901,a866)))),x97907)+~P103(f326(f326(f328(x97901),x97906),x97905))
% 149.08/148.76 [10057]~P20(x100571,x100572,f326(f326(f304(f871(x100571)),f326(f326(f326(f93(x100571),f96(x100571,x100573,x100574)),x100575),x100577)),f190(f880(f871(x100571),a866))))+P20(x100571,x100572,f326(f326(f304(f871(x100571)),f326(f326(f326(f93(x100571),x100573),f31(x100574,x100575,x100576)),x100577)),f190(f880(f871(x100571),a866))))+~P20(x100571,x100572,f326(f326(f304(f871(x100571)),f326(f326(f326(f93(x100571),f96(x100571,x100573,f326(f74(a866,a866,a867,a321),x100574))),x100576),x100577)),f190(f880(f871(x100571),a866))))
% 149.08/148.76 [10128]~P41(x101282,x101283,x101284,x101285,x101281,f326(f326(x101284,x101287),x101286))+P41(x101282,x101283,x101284,x101285,f326(f326(f22(f880(x101282,a866)),x101281),f326(f326(f304(x101282),f534(x101286,x101287,x101281,x101285,x101284,x101283,x101282)),f190(f880(x101282,a866)))),f535(x101286,x101287,x101281,x101285,x101284,x101283,x101282))+E(x101281,f190(f880(x101282,a866)))
% 149.08/148.76 [10129]~P41(x101295,x101296,x101291,x101294,x101297,f326(f326(x101291,x101292),x101293))+P41(x101295,x101296,x101291,x101294,f326(f326(f22(f880(x101295,a866)),x101297),f326(f326(f304(x101295),f534(x101293,x101292,x101297,x101294,x101291,x101296,x101295)),f190(f880(x101295,a866)))),f535(x101293,x101292,x101297,x101294,x101291,x101296,x101295))+E(f326(f326(x101291,x101292),x101293),x101294)
% 149.08/148.76 [9175]E(f183(x91751,x91752,x91753,x91754,f326(f326(f155(x91752,x91755),x91756),x91757)),f183(x91751,x91752,x91753,x91754,x91755))+~P103(f326(f326(f241(a872),x91756),f326(f191(f873(x91752)),x91755)))+~P103(f326(f326(f240(a872),f326(f191(f873(x91751)),x91754)),x91756))
% 149.08/148.76 [9470]P103(f326(f326(f240(f880(f879(x94701,x94702),a866)),f326(f326(f283(x94701,x94703,x94702),x94704),x94705)),f326(f326(f283(x94701,x94703,x94702),x94706),x94707)))+~P103(f326(f326(f240(f880(f879(x94703,x94702),a866)),x94705),x94707))+~P103(f326(f326(f240(f880(f879(x94701,x94703),a866)),x94704),x94706))
% 149.08/148.76 [9801]~P103(f326(f326(f328(x98011),x98016),x98015))+P103(f326(f67(x98011,x98012,x98013,x98014,x98015),f326(f326(x98013,x98016),x98017)))+~P103(f326(f67(x98011,x98012,x98013,x98014,f326(f326(f22(f880(x98011,a866)),x98015),f326(f326(f304(x98011),x98016),f190(f880(x98011,a866))))),x98017))
% 149.08/148.76 [10188]~P141(x101881)+~P21(f879(x101882,x101883),x101881,f326(f265(x101882,x101883,x101881),f326(f326(f7(x101882,f880(x101883,x101881),f880(x101883,x101881)),f326(f326(f8(f880(x101881,x101881),f880(f880(x101883,x101881),f880(x101883,x101881)),x101882),f8(x101881,x101881,x101883)),f326(f326(f8(x101881,f880(x101881,x101881),x101882),f82(x101881)),x101884))),x101885)),f326(f326(f263(x101882,x101883),x101886),f326(f16(f880(x101883,a866),x101882),x101887)))+E(f326(f326(f6(x101881,x101881),f35(x101881)),f326(f246(x101881),f326(f326(f8(f880(x101882,a866),a866,x101881),f88(x101882)),f326(f326(f8(f880(x101882,f880(x101883,a866)),f880(x101882,a866),x101881),f326(f8(f880(x101883,a866),a866,x101882),f88(x101883))),f326(f326(f7(x101881,f880(x101882,f880(x101883,a866)),f880(x101882,f880(x101883,a866))),f326(f326(f8(f880(x101882,f880(f880(x101883,a866),f880(x101883,a866))),f880(f880(x101882,f880(x101883,a866)),f880(x101882,f880(x101883,a866))),x101881),f18(x101882,f880(x101883,a866),f880(x101883,a866))),f326(f326(f8(f880(x101882,f880(x101883,f880(a866,a866))),f880(x101882,f880(f880(x101883,a866),f880(x101883,a866))),x101881),f326(f8(f880(x101883,f880(a866,a866)),f880(f880(x101883,a866),f880(x101883,a866)),x101882),f18(x101883,a866,a866))),f326(f326(f8(f880(x101882,f880(x101883,a866)),f880(x101882,f880(x101883,f880(a866,a866))),x101881),f326(f8(f880(x101883,a866),f880(x101883,f880(a866,a866)),x101882),f326(f8(a866,f880(a866,a866),x101883),a324))),f326(f326(f7(x101881,f880(x101882,f880(x101883,x101881)),f880(x101882,f880(x101883,a866))),f326(f326(f8(f880(f880(x101883,x101881),f880(x101883,a866)),f880(f880(x101882,f880(x101883,x101881)),f880(x101882,f880(x101883,a866))),x101881),f8(f880(x101883,x101881),f880(x101883,a866),x101882)),f326(f326(f8(f880(x101881,a866),f880(f880(x101883,x101881),f880(x101883,a866)),x101881),f8(x101881,a866,x101883)),a323))),f326(f326(f7(x101882,f880(x101883,x101881),f880(x101883,x101881)),f326(f326(f8(f880(x101881,x101881),f880(f880(x101883,x101881),f880(x101883,x101881)),x101882),f8(x101881,x101881,x101883)),f326(f326(f8(x101881,f880(x101881,x101881),x101882),f82(x101881)),x101884))),x101885)))))),f326(f326(f7(x101882,f880(x101883,a866),f880(x101883,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x101883,a866),f880(x101883,a866)),x101882),f8(a866,a866,x101883)),f326(f326(f8(a866,f880(a866,a866),x101882),a324),f326(f326(f7(x101882,f880(x101882,a866),a866),f328(x101882)),x101886)))),f326(f326(f7(x101883,f880(x101883,a866),a866),f328(x101883)),x101887))))))),f326(f326(f82(x101881),f326(f326(f6(x101882,x101881),x101884),x101886)),f326(f326(f6(x101883,x101881),x101885),x101887)))
% 149.08/148.76 [9633]~P103(f326(f326(x96334,x96336),x96338))+~P103(f326(f326(x96335,x96338),x96337))+P103(f326(f326(f262(x96331,x96332,x96333,x96334,x96335),x96336),x96337))
% 149.08/148.76 [9236]~P15(x92368,x92361,x92363,x92365)+~P103(f326(f62(x92368),x92366))+E(f326(f74(x92361,x92361,x92362,f326(x92363,x92364)),f326(f74(x92361,x92361,x92362,f326(x92365,x92366)),x92367)),f326(f74(x92361,x92361,x92362,f326(x92365,x92366)),f326(f74(x92361,x92361,x92362,f326(x92363,x92364)),x92367)))
% 149.08/148.76 [9623]~P18(x96237,x96232,x96235,x96238,x96236,x96231)+~P103(f326(f62(x96232),x96234))+E(f326(x96231,f326(f326(f304(x96232),x96233),x96234)),f326(f326(x96235,f326(x96236,x96233)),f326(x96231,x96234)))
% 149.08/148.76 [9743]~P21(x97432,x97434,x97436,x97438)+~P21(x97431,x97433,x97435,x97437)+P21(f879(x97431,x97432),f879(x97433,x97434),f266(x97431,x97433,x97432,x97434,x97435,x97436),f326(f326(f263(x97431,x97432),x97437),f326(f16(f880(x97432,a866),x97431),x97438)))
% 149.08/148.76 [9416]P103(f326(f326(f328(f879(x94161,x94162)),f326(f326(f261(x94161,x94162),x94163),x94164)),f326(f326(f283(x94161,x94165,x94162),x94166),x94167)))+~P103(f326(f326(f328(f879(x94161,x94165)),f326(f326(f261(x94161,x94165),x94163),x94168)),x94166))+~P103(f326(f326(f328(f879(x94165,x94162)),f326(f326(f261(x94165,x94162),x94168),x94164)),x94167))
% 149.08/148.76 [9604]~P103(f326(f326(f240(f880(f879(x96043,x96042),a866)),x96045),f326(f326(f263(x96043,x96042),x96048),f326(f16(f880(x96042,a866),x96043),x96047))))+~P103(f326(f326(f240(f880(f879(x96041,x96043),a866)),x96044),f326(f326(f263(x96041,x96043),x96046),f326(f16(f880(x96043,a866),x96041),x96048))))+P103(f326(f326(f240(f880(f879(x96041,x96042),a866)),f326(f326(f283(x96041,x96043,x96042),x96044),x96045)),f326(f326(f263(x96041,x96042),x96046),f326(f16(f880(x96042,a866),x96041),x96047))))
% 149.08/148.76 [9657]~E(x96573,x96575)+P103(f326(f326(f328(f879(f879(x96571,x96572),f879(x96571,x96572))),f326(f326(f261(f879(x96571,x96572),f879(x96571,x96572)),f326(f326(f261(x96571,x96572),x96573),x96574)),f326(f326(f261(x96571,x96572),x96575),x96576))),f318(x96571,x96572,x96577,x96578)))+~P103(f326(f326(f328(f879(x96572,x96572)),f326(f326(f261(x96572,x96572),x96574),x96576)),x96578))
% 149.08/148.76 [9766]E(x97661,x97662)+~P103(f326(f326(f328(f879(f879(x97663,x97665),f879(x97663,x97665))),f326(f326(f261(f879(x97663,x97665),f879(x97663,x97665)),f326(f326(f261(x97663,x97665),x97661),x97666)),f326(f326(f261(x97663,x97665),x97662),x97667))),f318(x97663,x97665,x97664,x97668)))+P103(f326(f326(f328(f879(x97663,x97663)),f326(f326(f261(x97663,x97663),x97661),x97662)),x97664))
% 149.08/148.76 [9783]~P103(f326(f326(f328(f879(f879(x97831,x97835),f879(x97831,x97835))),f326(f326(f261(f879(x97831,x97835),f879(x97831,x97835)),f326(f326(f261(x97831,x97835),x97832),x97836)),f326(f326(f261(x97831,x97835),x97833),x97837))),f318(x97831,x97835,x97834,x97838)))+P103(f326(f326(f328(f879(x97831,x97831)),f326(f326(f261(x97831,x97831),x97832),x97833)),x97834))+P103(f326(f326(f328(f879(x97835,x97835)),f326(f326(f261(x97835,x97835),x97836),x97837)),x97838))
% 149.08/148.76 [9687]~P19(x96877,x96875,x96871,x96878,x96872,x96874)+~P103(f326(f62(x96875),x96876))+E(f326(f326(x96871,f326(x96872,x96873)),f326(x96874,f326(f326(f22(f880(x96875,a866)),x96876),f326(f326(f304(x96875),x96873),f190(f880(x96875,a866)))))),f326(x96874,f326(f326(f304(x96875),x96873),x96876)))
% 149.08/148.76 [9194]~P103(f326(f326(f326(x91945,x91948),x91946),x91947))+~P103(f326(f326(f328(x91941),x91948),x91944))+P103(f326(f326(f326(f326(f42(x91941,f880(x91942,f880(x91943,a866))),x91944),x91945),x91946),x91947))
% 149.08/148.76 [9403]P103(f326(f326(f326(x94031,x94032),x94033),x94034))+~P103(f326(f326(f328(x94035),x94032),x94036))+~P103(f326(f326(f326(f326(f43(x94035,f880(x94037,f880(x94038,a866))),x94036),x94031),x94033),x94034))
% 149.08/148.76 [9597]~P17(x95973,x95972,x95974,x95978,x95971)+~P103(f326(f62(x95972),x95977))+E(f326(f326(x95971,f326(f326(f18(x95972,x95973,x95973),f326(f326(f8(x95973,f880(x95973,x95973),x95972),x95974),x95975)),x95976)),x95977),f326(f326(x95974,f326(f326(x95971,x95975),x95977)),f326(f326(x95971,x95976),x95977)))
% 149.08/148.76 [9873]~E(f326(f305(x98732,x98734,x98736),x98738),x987310)+~E(f326(f305(x98731,x98733,x98735),x98737),x98739)+E(f326(f305(f879(x98731,x98732),f879(x98733,x98734),f266(x98731,x98733,x98732,x98734,x98735,x98736)),f326(f326(f263(x98731,x98732),x98737),f326(f16(f880(x98732,a866),x98731),x98738))),f326(f326(f263(x98733,x98734),x98739),f326(f16(f880(x98734,a866),x98733),x987310)))
% 149.08/148.76 [4822]~P105(x48222)+~P28(x48222,x48221)+P28(x48222,f119(x48222,x48221))+E(x48221,f118(x48222))
% 149.08/148.76 [4823]~P105(x48232)+~P28(x48232,x48231)+P28(x48232,f724(x48231,x48232))+E(x48231,f118(x48232))
% 149.08/148.76 [5055]~P26(x50552)+E(f10(x50552,x50551),f40(x50552,x50551))+E(x50551,f190(f880(x50552,a866)))+~P103(f326(f62(x50552),x50551))
% 149.08/148.76 [5056]~P26(x50562)+E(f11(x50562,x50561),f41(x50562,x50561))+E(x50561,f190(f880(x50562,a866)))+~P103(f326(f62(x50562),x50561))
% 149.08/148.76 [5216]~P105(x52162)+~P28(x52162,x52161)+E(x52161,f118(x52162))+E(f326(f326(f147(x52162),f757(x52161,x52162)),f724(x52161,x52162)),x52161)
% 149.08/148.76 [6014]~P76(x60142)+E(x60141,f190(f880(x60142,a866)))+P103(f326(f326(f240(x60142),f11(x60142,x60141)),f10(x60142,x60141)))+~P103(f326(f62(x60142),x60141))
% 149.08/148.76 [6026]~P39(x60262)+~P39(x60261)+E(x60261,x60262)+~E(f326(f305(a1,a872,a109),x60261),f326(f305(a1,a872,a109),x60262))
% 149.08/148.76 [9052]~P109(x90521)+~P103(f326(f326(f328(x90521),x90522),f114(x90521)))+P103(f326(f326(f241(x90521),f326(f326(f81(x90521),f326(f326(f81(x90521),f79(x90521)),x90522)),x90522)),f2(x90521)))+~P103(f326(f326(f241(x90521),x90522),f2(x90521)))
% 149.08/148.76 [9291]~P109(x92911)+~P103(f326(f326(f328(x92911),x92912),f114(x92911)))+~P103(f326(f326(f241(x92911),f326(f326(f81(x92911),f326(f326(f81(x92911),f79(x92911)),x92912)),x92912)),f2(x92911)))+P103(f326(f326(f241(x92911),x92912),f2(x92911)))
% 149.08/148.76 [4878]~P141(x48782)+~P112(x48782)+E(x48781,f2(a872))+E(f326(f326(f251(x48782),f2(x48782)),x48781),f2(x48782))
% 149.08/148.76 [4883]~P141(x48831)+~P112(x48831)+~E(x48832,f2(a872))+E(f326(f326(f251(x48831),f2(x48831)),x48832),f79(x48831))
% 149.08/148.76 [5042]~P137(x50422)+E(x50421,f79(x50422))+E(x50421,f326(f80(x50422),f79(x50422)))+~E(f326(f326(f82(x50422),x50421),x50421),f79(x50422))
% 149.08/148.76 [5299]~P89(x52992)+E(x52991,f2(x52992))+E(f83(x52992,x52991),f326(f80(x52992),f79(x52992)))+P103(f326(f326(f241(x52992),f2(x52992)),x52991))
% 149.08/148.76 [5535]~P89(x55352)+E(f83(x55352,x55351),f79(x55352))+E(x55351,f2(x55352))+~P103(f326(f326(f241(x55352),f2(x55352)),x55351))
% 149.08/148.76 [5544]E(x55441,x55442)+~E(f326(f108(a872),x55441),f326(f108(a872),x55442))+P103(f326(a196,f326(f108(a1),x55442)))+P103(f326(a196,f326(f108(a1),x55441)))
% 149.08/148.76 [5593]~P92(x55931)+~E(x55932,f2(x55931))+E(f326(f326(f81(x55931),x55932),x55932),f2(x55931))+~P103(f326(f326(f328(x55931),x55932),f114(x55931)))
% 149.08/148.76 [5631]E(x56311,f2(a1))+~E(f326(f326(f39(a1),x56312),x56311),f2(a1))+P103(f326(f326(f241(a1),x56311),x56312))+P103(f326(f326(f241(a1),x56312),x56311))
% 149.08/148.76 [5662]E(x56621,f2(a1))+~E(f326(f326(f39(a1),x56622),x56621),f2(a1))+P103(f326(f326(f240(a1),x56622),f2(a1)))+P103(f326(f326(f241(a1),x56622),x56621))
% 149.08/148.76 [5695]E(x56951,f2(a1))+~E(f326(f326(f39(a1),x56952),x56951),f2(a1))+P103(f326(f326(f240(a1),f2(a1)),x56952))+P103(f326(f326(f241(a1),x56951),x56952))
% 149.08/148.76 [5731]~P92(x57312)+E(x57311,f2(x57312))+~E(f326(f326(f81(x57312),x57311),x57311),f2(x57312))+~P103(f326(f326(f328(x57312),x57311),f114(x57312)))
% 149.08/148.76 [5791]E(f326(f108(a872),x57911),f326(f108(a872),x57912))+~E(f326(f108(a1),x57912),f2(a1))+P103(f326(a196,f326(f108(a1),x57912)))+~P103(f326(a196,f326(f108(a1),x57911)))
% 149.08/148.76 [5818]~E(f326(f108(a872),x58182),f326(f108(a872),x58181))+E(f326(f108(a1),x58181),f2(a1))+P103(f326(a196,f326(f108(a1),x58181)))+~P103(f326(a196,f326(f108(a1),x58182)))
% 149.08/148.76 [5827]~P105(x58272)+E(x58271,f190(f880(x58272,a866)))+~P103(f326(f62(x58272),x58271))+P103(f326(f326(f328(x58272),f14(x58272,x58271)),x58271))
% 149.08/148.76 [5828]~P105(x58282)+E(x58281,f190(f880(x58282,a866)))+~P103(f326(f62(x58282),x58281))+P103(f326(f326(f328(x58282),f15(x58282,x58281)),x58281))
% 149.08/148.76 [5994]~P109(x59941)+~P93(x59941)+P103(f326(f326(f240(x59941),f2(x59941)),f326(f108(x59941),x59942)))+~P103(f326(f326(f240(a1),a84),x59942))
% 149.08/148.76 [5995]~P109(x59951)+~P93(x59951)+P103(f326(f326(f241(x59951),f2(x59951)),f326(f108(x59951),x59952)))+~P103(f326(f326(f241(a1),a84),x59952))
% 149.08/148.76 [6013]~P109(x60131)+~P93(x60131)+E(f326(f76(x60131),f326(f108(x60131),x60132)),f326(f108(x60131),x60132))+P103(f326(f326(f241(x60131),f326(f108(x60131),x60132)),f2(x60131)))
% 149.08/148.76 [6053]E(x60531,x60532)+~E(f326(a109,x60531),f326(a109,x60532))+~P103(f326(f326(f240(a1),f2(a1)),x60532))+~P103(f326(f326(f240(a1),f2(a1)),x60531))
% 149.08/148.76 [6248]~P93(x62482)+~P109(x62482)+~P103(f326(f326(f240(x62482),f2(x62482)),f326(f108(x62482),x62481)))+P103(f326(f326(f240(a1),a84),x62481))
% 149.08/148.76 [6249]~P93(x62492)+~P109(x62492)+~P103(f326(f326(f241(x62492),f2(x62492)),f326(f108(x62492),x62491)))+P103(f326(f326(f241(a1),a84),x62491))
% 149.08/148.76 [6254]~P109(x62541)+~P93(x62541)+P103(f326(f326(f240(x62541),f326(f108(x62541),x62542)),f2(x62541)))+~P103(f326(f326(f240(a1),x62542),a84))
% 149.08/148.76 [6255]~P109(x62551)+~P93(x62551)+P103(f326(f326(f241(x62551),f326(f108(x62551),x62552)),f2(x62551)))+~P103(f326(f326(f241(a1),x62552),a84))
% 149.08/148.76 [6564]~P93(x65642)+~P109(x65642)+~P103(f326(f326(f240(x65642),f326(f108(x65642),x65641)),f2(x65642)))+P103(f326(f326(f240(a1),x65641),a84))
% 149.08/148.76 [6565]~P93(x65652)+~P109(x65652)+~P103(f326(f326(f241(x65652),f326(f108(x65652),x65651)),f2(x65652)))+P103(f326(f326(f241(a1),x65651),a84))
% 149.08/148.76 [6656]~P109(x66561)+~P93(x66561)+E(f326(f76(x66561),f326(f108(x66561),x66562)),f326(f80(x66561),f326(f108(x66561),x66562)))+~P103(f326(f326(f241(x66561),f326(f108(x66561),x66562)),f2(x66561)))
% 149.08/148.76 [6674]E(f326(f108(a872),x66741),f326(f108(a872),x66742))+~E(f326(f108(a1),x66742),f2(a1))+~P103(f326(f326(f240(a1),f326(f108(a1),x66741)),f2(a1)))+~P103(f326(a196,f326(f108(a1),x66741)))
% 149.08/148.76 [7554]~P105(x75542)+E(x75541,f190(f880(x75542,a866)))+~P103(f326(f62(x75542),x75541))+P103(f326(f326(f240(x75542),f13(x75542,f238(x75542),x75541)),f12(x75542,f239(x75542),x75541)))
% 149.08/148.76 [7869]~P27(x78691)+~P39(x78692)+P103(f326(f326(f328(a1),x78691),x78692))+~P103(f326(f326(f328(a872),f326(a109,x78691)),f326(f305(a1,a872,a109),x78692)))
% 149.08/148.76 [8145]~P58(x81452)+P103(f326(x81451,f193(x81452)))+~P103(f326(f58(f876(x81452)),x81451))+P103(f326(f58(x81452),f326(f326(f8(f876(x81452),a866,x81452),x81451),f233(x81452))))
% 149.08/148.76 [8614]~P58(x86141)+~P103(f326(x86142,f193(x86141)))+P103(f326(f59(f876(x86141)),x86142))+~P103(f326(f59(x86141),f326(f326(f8(f876(x86141),a866,x86141),x86142),f233(x86141))))
% 149.08/148.76 [5824]~P138(x58242)+E(x58241,f2(a1))+E(f326(f80(x58242),f326(f107(x58242),f326(f80(a1),x58241))),f326(f107(x58242),x58241))+~P103(f326(f326(f241(a1),x58241),f2(a1)))
% 149.08/148.76 [5897]~P92(x58971)+~P93(x58971)+~P30(x58971,f326(f108(x58971),x58972))+P30(x58971,f326(f108(x58971),f326(f326(f81(a1),x58972),x58972)))
% 149.08/148.76 [6236]~P74(x62362)+E(x62361,f190(f880(x62362,a866)))+E(f15(x62362,f326(f305(x62362,x62362,f80(x62362)),x62361)),f326(f80(x62362),f14(x62362,x62361)))+~P103(f326(f62(x62362),x62361))
% 149.08/148.76 [6237]~P74(x62372)+E(x62371,f190(f880(x62372,a866)))+E(f14(x62372,f326(f305(x62372,x62372,f80(x62372)),x62371)),f326(f80(x62372),f15(x62372,x62371)))+~P103(f326(f62(x62372),x62371))
% 149.08/148.76 [6269]~P92(x62691)+~P93(x62691)+P30(x62691,f326(f108(x62691),x62692))+~P30(x62691,f326(f108(x62691),f326(f326(f81(a1),x62692),x62692)))
% 149.08/148.76 [6359]E(x63591,f2(a1))+E(f326(a51,f50(f326(f80(a1),x63591),f326(f80(a1),x63592))),f46(x63591,x63592))+P103(f326(f326(f240(a1),f2(a1)),x63592))+~P103(f326(f326(f240(a1),f2(a1)),x63591))
% 149.08/148.76 [8658]~P39(x86582)+~P39(x86581)+P103(f326(f326(f241(f880(a872,a866)),f326(f305(a1,a872,a109),x86581)),f326(f305(a1,a872,a109),x86582)))+~P103(f326(f326(f241(f880(a1,a866)),x86581),x86582))
% 149.08/148.76 [8872]~E(f762(x88722,x88721),f763(x88722,x88721))+~P103(f326(f133(x88721),f764(x88722,x88721)))+~P103(f326(f133(f873(x88721)),x88722))+P103(f326(f133(x88721),f326(f138(f873(x88721),f873(x88721),f126(x88721),f118(x88721)),x88722)))
% 149.08/148.76 [8970]~P39(x89702)+~P39(x89701)+~P103(f326(f326(f240(f880(a872,a866)),f326(f305(a1,a872,a109),x89701)),f326(f305(a1,a872,a109),x89702)))+P103(f326(f326(f240(f880(a1,a866)),x89701),x89702))
% 149.08/148.76 [8971]~P39(x89712)+~P39(x89711)+~P103(f326(f326(f241(f880(a872,a866)),f326(f305(a1,a872,a109),x89711)),f326(f305(a1,a872,a109),x89712)))+P103(f326(f326(f241(f880(a1,a866)),x89711),x89712))
% 149.08/148.76 [8977]~E(f762(x89772,x89771),f763(x89772,x89771))+~P103(f326(f133(f873(x89771)),x89772))+P103(f326(f133(x89771),f326(f138(f873(x89771),f873(x89771),f126(x89771),f118(x89771)),x89772)))+P103(f326(f326(f328(f873(x89771)),f764(x89772,x89771)),f326(f168(f873(x89771)),x89772)))
% 149.08/148.76 [9019]~P103(f326(f133(x90191),f764(x90192,x90191)))+~P103(f326(f133(f873(x90191)),x90192))+P103(f326(f133(x90191),f326(f138(f873(x90191),f873(x90191),f126(x90191),f118(x90191)),x90192)))+P103(f326(f326(f328(f873(x90191)),f763(x90192,x90191)),f326(f168(f873(x90191)),x90192)))
% 149.08/148.76 [9020]~P103(f326(f133(x90201),f764(x90202,x90201)))+~P103(f326(f133(f873(x90201)),x90202))+P103(f326(f133(x90201),f326(f138(f873(x90201),f873(x90201),f126(x90201),f118(x90201)),x90202)))+P103(f326(f326(f328(f873(x90201)),f762(x90202,x90201)),f326(f168(f873(x90201)),x90202)))
% 149.08/148.76 [9095]~P103(f326(f133(f873(x90951)),x90952))+P103(f326(f133(x90951),f326(f138(f873(x90951),f873(x90951),f126(x90951),f118(x90951)),x90952)))+P103(f326(f326(f328(f873(x90951)),f763(x90952,x90951)),f326(f168(f873(x90951)),x90952)))+P103(f326(f326(f328(f873(x90951)),f764(x90952,x90951)),f326(f168(f873(x90951)),x90952)))
% 149.08/148.76 [9096]~P103(f326(f133(f873(x90961)),x90962))+P103(f326(f133(x90961),f326(f138(f873(x90961),f873(x90961),f126(x90961),f118(x90961)),x90962)))+P103(f326(f326(f328(f873(x90961)),f762(x90962,x90961)),f326(f168(f873(x90961)),x90962)))+P103(f326(f326(f328(f873(x90961)),f764(x90962,x90961)),f326(f168(f873(x90961)),x90962)))
% 149.08/148.76 [9109]~E(f326(f326(f106(f880(x91091,a866)),f326(f168(x91091),f763(x91092,x91091))),f326(f168(x91091),f762(x91092,x91091))),f190(f880(x91091,a866)))+~P103(f326(f133(x91091),f764(x91092,x91091)))+~P103(f326(f133(f873(x91091)),x91092))+P103(f326(f133(x91091),f326(f138(f873(x91091),f873(x91091),f126(x91091),f118(x91091)),x91092)))
% 149.08/148.76 [9171]~E(f326(f326(f106(f880(x91711,a866)),f326(f168(x91711),f763(x91712,x91711))),f326(f168(x91711),f762(x91712,x91711))),f190(f880(x91711,a866)))+~P103(f326(f133(f873(x91711)),x91712))+P103(f326(f133(x91711),f326(f138(f873(x91711),f873(x91711),f126(x91711),f118(x91711)),x91712)))+P103(f326(f326(f328(f873(x91711)),f764(x91712,x91711)),f326(f168(f873(x91711)),x91712)))
% 149.08/148.76 [9440]E(x94401,f2(a1))+E(x94402,f2(a1))+E(f326(f326(f87(a1,f879(a1,a1)),f326(f326(a222,x94402),x94401)),f326(f326(f18(a1,a1,f879(a1,a1)),f326(f326(f8(a1,f880(a1,f879(a1,a1)),a1),f261(a1,a1)),f326(f39(a1),x94402))),f326(f39(a1),x94401))),f220(x94402,x94401))+P103(f326(f326(f241(a1),x94401),f2(a1)))
% 149.08/148.76 [8206]~P93(x82062)+~P109(x82062)+~P103(f326(f326(f240(x82062),f326(f108(x82062),x82061)),f79(x82062)))+P103(f326(f326(f240(a1),x82061),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))
% 149.08/148.76 [8207]~P93(x82072)+~P109(x82072)+~P103(f326(f326(f241(x82072),f326(f108(x82072),x82071)),f79(x82072)))+P103(f326(f326(f241(a1),x82071),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))
% 149.08/148.76 [8486]~P109(x84861)+~P93(x84861)+P103(f326(f326(f240(x84861),f326(f108(x84861),x84862)),f79(x84861)))+~P103(f326(f326(f240(a1),x84862),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))
% 149.08/148.76 [8487]~P109(x84871)+~P93(x84871)+P103(f326(f326(f241(x84871),f326(f108(x84871),x84872)),f79(x84871)))+~P103(f326(f326(f241(a1),x84872),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))
% 149.08/148.76 [8683]~P93(x86832)+~P109(x86832)+~P103(f326(f326(f240(x86832),f79(x86832)),f326(f108(x86832),x86831)))+P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),x86831))
% 149.08/148.76 [8684]~P93(x86842)+~P109(x86842)+~P103(f326(f326(f241(x86842),f79(x86842)),f326(f108(x86842),x86841)))+P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),x86841))
% 149.08/148.76 [9058]~P109(x90581)+~P93(x90581)+P103(f326(f326(f240(x90581),f79(x90581)),f326(f108(x90581),x90582)))+~P103(f326(f326(f240(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),x90582))
% 149.08/148.76 [9059]~P109(x90591)+~P93(x90591)+P103(f326(f326(f241(x90591),f79(x90591)),f326(f108(x90591),x90592)))+~P103(f326(f326(f241(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),x90592))
% 149.08/148.76 [9569]~P137(x95692)+E(x95691,f79(x95692))+E(x95691,f326(f80(x95692),f79(x95692)))+~E(f326(f326(f251(x95692),x95691),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f79(x95692))
% 149.08/148.76 [9841]~P61(x98411)+~P93(x98411)+~P103(f326(f326(f241(x98411),f2(x98411)),x98412))+P103(f326(f326(f241(x98411),f2(x98411)),f326(f326(f284(x98411),x98412),f326(f108(x98411),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.76 [9903]~P61(x99031)+~P93(x99031)+P103(f326(f326(f241(x99031),f2(x99031)),x99032))+~P103(f326(f326(f241(x99031),f2(x99031)),f326(f326(f284(x99031),x99032),f326(f108(x99031),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.76 [10156]~P138(x101562)+E(x101561,f2(a1))+P103(f326(f326(f241(a1),x101561),f2(a1)))+E(f326(f326(f265(a1,a1,x101562),f326(f326(f7(a1,f880(a1,f880(x101562,x101562)),f880(a1,x101562)),f326(f326(f8(f880(f880(x101562,x101562),x101562),f880(f880(a1,f880(x101562,x101562)),f880(a1,x101562)),a1),f8(f880(x101562,x101562),x101562,a1)),f326(f326(f8(x101562,f880(f880(x101562,x101562),x101562),a1),f87(x101562,x101562)),f107(x101562)))),f326(f326(f7(a1,f880(x101562,x101562),f880(x101562,x101562)),f326(f326(f8(f880(x101562,f880(x101562,x101562)),f880(f880(x101562,x101562),f880(x101562,x101562)),a1),f18(x101562,x101562,x101562)),f326(f326(f7(a1,f880(x101562,x101562),f880(x101562,f880(x101562,x101562))),f326(f326(f8(f880(x101562,f880(x101562,x101562)),f880(f880(x101562,x101562),f880(x101562,f880(x101562,x101562))),a1),f8(x101562,f880(x101562,x101562),x101562)),f326(f326(f8(a866,f880(x101562,f880(x101562,x101562)),a1),f101(x101562)),f326(f326(f7(a1,a1,a866),a323),f2(a1))))),f326(f326(f18(x101562,x101562,x101562),f81(x101562)),f5(x101562))))),f326(f326(f7(x101562,x101562,x101562),f326(f326(f8(x101562,f880(x101562,x101562),x101562),f81(x101562)),f326(f326(f18(x101562,x101562,x101562),f81(x101562)),f5(x101562)))),f79(x101562))))),f46(x101561,f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f107(x101562),x101561))
% 149.08/148.76 [5211]~P58(x52113)+~P35(x52113,x52112,f56(x52113))+E(x52111,f772(x52112,x52113))+~P103(f326(x52112,x52111))
% 149.08/148.76 [5371]~P58(x53711)+P35(x53711,x53712,f56(x53711))+~E(f773(x53712,x53711,x53713),x53713)+~P103(f326(x53712,x53713))
% 149.08/148.76 [4849]~P92(x48493)+~P93(x48493)+E(x48491,x48492)+~E(f326(f108(x48493),x48491),f326(f108(x48493),x48492))
% 149.08/148.76 [5993]~P58(x59931)+P35(x59931,x59932,f56(x59931))+~P103(f326(x59932,x59933))+P103(f326(x59932,f773(x59932,x59931,x59933)))
% 149.08/148.76 [6003]~P103(f326(x60031,x60032))+~P103(f326(x60031,x60033))+~P103(f326(f326(f240(a872),x60033),f333(x60032,x60031)))+P103(f326(x60031,f2(a872)))
% 149.08/148.76 [6422]P145(x64222,x64221,x64223)+E(x64221,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f803(x64223,x64221,x64222)))+P103(f326(f326(f241(a1),x64221),f2(a1)))
% 149.08/148.76 [6423]P144(x64232,x64231,x64233)+E(x64231,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f814(x64233,x64231,x64232)))+P103(f326(f326(f241(a1),x64231),f2(a1)))
% 149.08/148.76 [6543]P144(x65431,x65432,x65433)+~P103(f326(x65431,x65433))+P103(f326(f326(f240(a1),f2(a1)),f814(x65433,x65432,x65431)))+P103(f326(f326(f241(a1),x65432),f2(a1)))
% 149.08/148.76 [6570]P145(x65701,x65702,x65703)+P103(f326(f326(f240(a1),f2(a1)),f803(x65703,x65702,x65701)))+~P103(f326(x65701,f2(a1)))+P103(f326(f326(f241(a1),x65702),f2(a1)))
% 149.08/148.76 [6598]P145(x65982,x65981,x65983)+E(x65981,f2(a1))+~P103(f326(x65982,f804(x65983,x65981,x65982)))+P103(f326(f326(f241(a1),x65981),f2(a1)))
% 149.08/148.76 [6599]P144(x65992,x65991,x65993)+E(x65991,f2(a1))+~P103(f326(x65992,f814(x65993,x65991,x65992)))+P103(f326(f326(f241(a1),x65991),f2(a1)))
% 149.08/148.76 [6699]~P105(x66991)+~P26(x66991)+~P103(f326(f326(f241(x66991),x66992),f40(x66991,x66993)))+P103(f326(f326(f241(x66991),x66992),f818(x66993,x66992,x66991)))
% 149.08/148.76 [6708]P144(x67081,x67082,x67083)+~P103(f326(x67081,x67083))+~P103(f326(x67081,f814(x67083,x67082,x67081)))+P103(f326(f326(f241(a1),x67082),f2(a1)))
% 149.08/148.76 [6740]P145(x67401,x67402,x67403)+~P103(f326(x67401,f804(x67403,x67402,x67401)))+~P103(f326(x67401,f2(a1)))+P103(f326(f326(f241(a1),x67402),f2(a1)))
% 149.08/148.76 [6993]P145(x69932,x69931,x69933)+E(x69931,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f803(x69933,x69931,x69932)))+P103(f326(f326(f241(a1),x69931),f802(x69933,x69931,x69932)))
% 149.08/148.76 [6994]P144(x69942,x69941,x69943)+E(x69941,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f814(x69943,x69941,x69942)))+P103(f326(f326(f241(a1),x69941),f813(x69943,x69941,x69942)))
% 149.08/148.76 [7111]P144(x71111,x71112,x71113)+~P103(f326(x71111,x71113))+P103(f326(f326(f240(a1),f2(a1)),f814(x71113,x71112,x71111)))+P103(f326(f326(f241(a1),x71112),f813(x71113,x71112,x71111)))
% 149.08/148.76 [7130]P145(x71301,x71302,x71303)+P103(f326(f326(f240(a1),f2(a1)),f803(x71303,x71302,x71301)))+P103(f326(f326(f241(a1),x71302),f802(x71303,x71302,x71301)))+~P103(f326(x71301,f2(a1)))
% 149.08/148.76 [7163]P145(x71632,x71631,x71633)+E(x71631,f2(a1))+~P103(f326(x71632,f804(x71633,x71631,x71632)))+P103(f326(f326(f241(a1),x71631),f802(x71633,x71631,x71632)))
% 149.08/148.76 [7164]P144(x71642,x71641,x71643)+E(x71641,f2(a1))+~P103(f326(x71642,f814(x71643,x71641,x71642)))+P103(f326(f326(f241(a1),x71641),f813(x71643,x71641,x71642)))
% 149.08/148.76 [7205]P145(x72052,x72051,x72053)+E(x72051,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f803(x72053,x72051,x72052)))+~P103(f326(x72052,f812(x72053,x72051,x72052)))
% 149.08/148.76 [7206]P144(x72062,x72061,x72063)+E(x72061,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f814(x72063,x72061,x72062)))+~P103(f326(x72062,f813(x72063,x72061,x72062)))
% 149.08/148.76 [7294]P144(x72941,x72942,x72943)+~P103(f326(x72941,x72943))+~P103(f326(x72941,f814(x72943,x72942,x72941)))+P103(f326(f326(f241(a1),x72942),f813(x72943,x72942,x72941)))
% 149.08/148.76 [7310]P145(x73101,x73102,x73103)+~P103(f326(x73101,f804(x73103,x73102,x73101)))+P103(f326(f326(f241(a1),x73102),f802(x73103,x73102,x73101)))+~P103(f326(x73101,f2(a1)))
% 149.08/148.76 [7314]P144(x73141,x73142,x73143)+~P103(f326(x73141,x73143))+P103(f326(f326(f240(a1),f2(a1)),f814(x73143,x73142,x73141)))+~P103(f326(x73141,f813(x73143,x73142,x73141)))
% 149.08/148.76 [7332]P145(x73321,x73322,x73323)+P103(f326(f326(f240(a1),f2(a1)),f803(x73323,x73322,x73321)))+~P103(f326(x73321,f812(x73323,x73322,x73321)))+~P103(f326(x73321,f2(a1)))
% 149.08/148.76 [7356]P145(x73562,x73561,x73563)+E(x73561,f2(a1))+~P103(f326(x73562,f804(x73563,x73561,x73562)))+~P103(f326(x73562,f812(x73563,x73561,x73562)))
% 149.08/148.76 [7357]P144(x73572,x73571,x73573)+E(x73571,f2(a1))+~P103(f326(x73572,f814(x73573,x73571,x73572)))+~P103(f326(x73572,f813(x73573,x73571,x73572)))
% 149.08/148.76 [7449]P144(x74491,x74492,x74493)+~P103(f326(x74491,x74493))+~P103(f326(x74491,f814(x74493,x74492,x74491)))+~P103(f326(x74491,f813(x74493,x74492,x74491)))
% 149.08/148.76 [7466]P145(x74661,x74662,x74663)+~P103(f326(x74661,f804(x74663,x74662,x74661)))+~P103(f326(x74661,f812(x74663,x74662,x74661)))+~P103(f326(x74661,f2(a1)))
% 149.08/148.76 [7514]P145(x75142,x75141,x75143)+E(x75141,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f803(x75143,x75141,x75142)))+P103(f326(f326(f240(a1),f802(x75143,x75141,x75142)),f2(a1)))
% 149.08/148.76 [7515]P144(x75152,x75151,x75153)+E(x75151,f2(a1))+P103(f326(f326(f240(a1),f2(a1)),f814(x75153,x75151,x75152)))+P103(f326(f326(f240(a1),f813(x75153,x75151,x75152)),f2(a1)))
% 149.08/148.76 [7516]~P88(x75161)+~P103(f326(f326(f240(x75161),x75163),f2(x75161)))+~P103(f326(f326(f240(x75161),x75162),f2(x75161)))+P103(f326(f326(f240(x75161),f326(f326(f81(x75161),x75162),x75163)),f2(x75161)))
% 149.08/148.76 [7517]~P138(x75171)+~P103(f326(f326(f328(x75171),x75173),f114(x75171)))+~P103(f326(f326(f328(x75171),x75172),f114(x75171)))+P103(f326(f326(f328(x75171),f326(f326(f22(x75171),x75172),x75173)),f114(x75171)))
% 149.08/148.76 [7518]~P138(x75181)+~P103(f326(f326(f328(x75181),x75183),f114(x75181)))+~P103(f326(f326(f328(x75181),x75182),f114(x75181)))+P103(f326(f326(f328(x75181),f326(f326(f81(x75181),x75182),x75183)),f114(x75181)))
% 149.08/148.76 [7519]~P142(x75191)+~P103(f326(f326(f328(x75191),x75193),f188(x75191)))+~P103(f326(f326(f328(x75191),x75192),f188(x75191)))+P103(f326(f326(f328(x75191),f326(f326(f81(x75191),x75192),x75193)),f188(x75191)))
% 149.08/148.76 [7520]~P138(x75201)+~P103(f326(f326(f328(x75201),x75203),f114(x75201)))+~P103(f326(f326(f328(x75201),x75202),f114(x75201)))+P103(f326(f326(f328(x75201),f326(f326(f82(x75201),x75202),x75203)),f114(x75201)))
% 149.08/148.76 [7521]~P142(x75211)+~P103(f326(f326(f328(x75211),x75213),f188(x75211)))+~P103(f326(f326(f328(x75211),x75212),f188(x75211)))+P103(f326(f326(f328(x75211),f326(f326(f82(x75211),x75212),x75213)),f188(x75211)))
% 149.08/148.76 [7522]~P88(x75221)+~P103(f326(f326(f240(x75221),x75223),f2(x75221)))+~P103(f326(f326(f241(x75221),x75222),f2(x75221)))+P103(f326(f326(f241(x75221),f326(f326(f81(x75221),x75222),x75223)),f2(x75221)))
% 149.08/148.76 [7523]~P88(x75231)+~P103(f326(f326(f240(x75231),x75232),f2(x75231)))+~P103(f326(f326(f241(x75231),x75233),f2(x75231)))+P103(f326(f326(f241(x75231),f326(f326(f81(x75231),x75232),x75233)),f2(x75231)))
% 149.08/148.76 [7524]~P88(x75241)+~P103(f326(f326(f241(x75241),x75243),f2(x75241)))+~P103(f326(f326(f241(x75241),x75242),f2(x75241)))+P103(f326(f326(f241(x75241),f326(f326(f81(x75241),x75242),x75243)),f2(x75241)))
% 149.08/148.76 [7550]P145(x75503,x75501,x75502)+E(x75501,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x75501),f804(x75502,x75501,x75503))),f803(x75502,x75501,x75503)),x75502)+P103(f326(f326(f241(a1),x75501),f2(a1)))
% 149.08/148.76 [7551]P144(x75513,x75511,x75512)+E(x75511,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x75511),f815(x75512,x75511,x75513))),f814(x75512,x75511,x75513)),x75512)+P103(f326(f326(f241(a1),x75511),f2(a1)))
% 149.08/148.76 [7633]P144(x76331,x76332,x76333)+~P103(f326(x76331,x76333))+P103(f326(f326(f240(a1),f2(a1)),f814(x76333,x76332,x76331)))+P103(f326(f326(f240(a1),f813(x76333,x76332,x76331)),f2(a1)))
% 149.08/148.76 [7662]P145(x76621,x76622,x76623)+P103(f326(f326(f240(a1),f2(a1)),f803(x76623,x76622,x76621)))+~P103(f326(x76621,f2(a1)))+P103(f326(f326(f240(a1),f802(x76623,x76622,x76621)),f2(a1)))
% 149.08/148.76 [7671]P144(x76713,x76711,x76712)+~P103(f326(x76713,x76712))+E(f326(f326(f81(a1),f326(f326(f82(a1),x76711),f815(x76712,x76711,x76713))),f814(x76712,x76711,x76713)),x76712)+P103(f326(f326(f241(a1),x76711),f2(a1)))
% 149.08/148.76 [7677]P145(x76772,x76771,x76773)+E(x76771,f2(a1))+~P103(f326(x76772,f804(x76773,x76771,x76772)))+P103(f326(f326(f240(a1),f802(x76773,x76771,x76772)),f2(a1)))
% 149.08/148.76 [7678]P144(x76782,x76781,x76783)+E(x76781,f2(a1))+~P103(f326(x76782,f814(x76783,x76781,x76782)))+P103(f326(f326(f240(a1),f813(x76783,x76781,x76782)),f2(a1)))
% 149.08/148.76 [7683]P145(x76833,x76831,x76832)+E(f326(f326(f81(a1),f326(f326(f82(a1),x76831),f804(x76832,x76831,x76833))),f803(x76832,x76831,x76833)),x76832)+~P103(f326(x76833,f2(a1)))+P103(f326(f326(f241(a1),x76831),f2(a1)))
% 149.08/148.76 [7738]P144(x77381,x77382,x77383)+~P103(f326(x77381,x77383))+~P103(f326(x77381,f814(x77383,x77382,x77381)))+P103(f326(f326(f240(a1),f813(x77383,x77382,x77381)),f2(a1)))
% 149.08/148.76 [7742]P145(x77421,x77422,x77423)+~P103(f326(x77421,f804(x77423,x77422,x77421)))+~P103(f326(x77421,f2(a1)))+P103(f326(f326(f240(a1),f802(x77423,x77422,x77421)),f2(a1)))
% 149.08/148.76 [7811]~P122(x78111)+~P103(f326(f326(f240(x78111),f326(f326(f82(x78111),x78113),x78112)),f2(x78111)))+P103(f326(f326(f240(x78111),x78112),f2(x78111)))+P103(f326(f326(f240(x78111),x78113),f2(x78111)))
% 149.08/148.76 [7812]~P61(x78121)+~P103(f326(f326(f240(x78121),f326(f326(f284(x78121),x78123),x78122)),f2(x78121)))+P103(f326(f326(f240(x78121),x78122),f2(x78121)))+P103(f326(f326(f240(x78121),x78123),f2(x78121)))
% 149.08/148.76 [7813]~P61(x78131)+~P103(f326(f326(f241(x78131),f326(f326(f284(x78131),x78133),x78132)),f2(x78131)))+P103(f326(f326(f241(x78131),x78132),f2(x78131)))+P103(f326(f326(f241(x78131),x78133),f2(x78131)))
% 149.08/148.76 [7927]P145(x79273,x79271,x79272)+E(x79271,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x79271),f804(x79272,x79271,x79273))),f803(x79272,x79271,x79273)),x79272)+P103(f326(f326(f241(a1),x79271),f802(x79272,x79271,x79273)))
% 149.08/148.76 [7928]P144(x79283,x79281,x79282)+E(x79281,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x79281),f815(x79282,x79281,x79283))),f814(x79282,x79281,x79283)),x79282)+P103(f326(f326(f241(a1),x79281),f813(x79282,x79281,x79283)))
% 149.08/148.76 [7940]P145(x79403,x79401,x79402)+E(x79401,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x79401),f812(x79402,x79401,x79403))),f802(x79402,x79401,x79403)),x79402)+P103(f326(f326(f240(a1),f2(a1)),f803(x79402,x79401,x79403)))
% 149.08/148.76 [7941]P144(x79413,x79411,x79412)+E(x79411,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x79411),f816(x79412,x79411,x79413))),f813(x79412,x79411,x79413)),x79412)+P103(f326(f326(f240(a1),f2(a1)),f814(x79412,x79411,x79413)))
% 149.08/148.76 [7985]P144(x79853,x79851,x79852)+~P103(f326(x79853,x79852))+E(f326(f326(f81(a1),f326(f326(f82(a1),x79851),f815(x79852,x79851,x79853))),f814(x79852,x79851,x79853)),x79852)+P103(f326(f326(f241(a1),x79851),f813(x79852,x79851,x79853)))
% 149.08/148.76 [7997]P145(x79973,x79971,x79972)+E(f326(f326(f81(a1),f326(f326(f82(a1),x79971),f804(x79972,x79971,x79973))),f803(x79972,x79971,x79973)),x79972)+P103(f326(f326(f241(a1),x79971),f802(x79972,x79971,x79973)))+~P103(f326(x79973,f2(a1)))
% 149.08/148.76 [8003]P144(x80033,x80031,x80032)+~P103(f326(x80033,x80032))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80031),f816(x80032,x80031,x80033))),f813(x80032,x80031,x80033)),x80032)+P103(f326(f326(f240(a1),f2(a1)),f814(x80032,x80031,x80033)))
% 149.08/148.76 [8011]P145(x80113,x80111,x80112)+E(f326(f326(f81(a1),f326(f326(f82(a1),x80111),f812(x80112,x80111,x80113))),f802(x80112,x80111,x80113)),x80112)+P103(f326(f326(f240(a1),f2(a1)),f803(x80112,x80111,x80113)))+~P103(f326(x80113,f2(a1)))
% 149.08/148.76 [8022]P145(x80223,x80221,x80222)+E(x80221,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80221),f804(x80222,x80221,x80223))),f803(x80222,x80221,x80223)),x80222)+~P103(f326(x80223,f812(x80222,x80221,x80223)))
% 149.08/148.76 [8023]P144(x80233,x80231,x80232)+E(x80231,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80231),f815(x80232,x80231,x80233))),f814(x80232,x80231,x80233)),x80232)+~P103(f326(x80233,f813(x80232,x80231,x80233)))
% 149.08/148.76 [8024]P145(x80243,x80241,x80242)+E(x80241,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80241),f812(x80242,x80241,x80243))),f802(x80242,x80241,x80243)),x80242)+~P103(f326(x80243,f804(x80242,x80241,x80243)))
% 149.08/148.76 [8025]P144(x80253,x80251,x80252)+E(x80251,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80251),f816(x80252,x80251,x80253))),f813(x80252,x80251,x80253)),x80252)+~P103(f326(x80253,f814(x80252,x80251,x80253)))
% 149.08/148.76 [8083]P144(x80833,x80831,x80832)+~P103(f326(x80833,x80832))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80831),f815(x80832,x80831,x80833))),f814(x80832,x80831,x80833)),x80832)+~P103(f326(x80833,f813(x80832,x80831,x80833)))
% 149.08/148.76 [8084]P144(x80843,x80841,x80842)+~P103(f326(x80843,x80842))+E(f326(f326(f81(a1),f326(f326(f82(a1),x80841),f816(x80842,x80841,x80843))),f813(x80842,x80841,x80843)),x80842)+~P103(f326(x80843,f814(x80842,x80841,x80843)))
% 149.08/148.76 [8094]P145(x80943,x80941,x80942)+E(f326(f326(f81(a1),f326(f326(f82(a1),x80941),f804(x80942,x80941,x80943))),f803(x80942,x80941,x80943)),x80942)+~P103(f326(x80943,f812(x80942,x80941,x80943)))+~P103(f326(x80943,f2(a1)))
% 149.08/148.76 [8095]P145(x80953,x80951,x80952)+E(f326(f326(f81(a1),f326(f326(f82(a1),x80951),f812(x80952,x80951,x80953))),f802(x80952,x80951,x80953)),x80952)+~P103(f326(x80953,f804(x80952,x80951,x80953)))+~P103(f326(x80953,f2(a1)))
% 149.08/148.76 [8199]P145(x81993,x81991,x81992)+E(x81991,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x81991),f804(x81992,x81991,x81993))),f803(x81992,x81991,x81993)),x81992)+P103(f326(f326(f240(a1),f802(x81992,x81991,x81993)),f2(a1)))
% 149.08/148.76 [8200]P144(x82003,x82001,x82002)+E(x82001,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x82001),f815(x82002,x82001,x82003))),f814(x82002,x82001,x82003)),x82002)+P103(f326(f326(f240(a1),f813(x82002,x82001,x82003)),f2(a1)))
% 149.08/148.76 [8240]P144(x82403,x82401,x82402)+~P103(f326(x82403,x82402))+E(f326(f326(f81(a1),f326(f326(f82(a1),x82401),f815(x82402,x82401,x82403))),f814(x82402,x82401,x82403)),x82402)+P103(f326(f326(f240(a1),f813(x82402,x82401,x82403)),f2(a1)))
% 149.08/148.76 [8245]P145(x82453,x82451,x82452)+E(f326(f326(f81(a1),f326(f326(f82(a1),x82451),f804(x82452,x82451,x82453))),f803(x82452,x82451,x82453)),x82452)+~P103(f326(x82453,f2(a1)))+P103(f326(f326(f240(a1),f802(x82452,x82451,x82453)),f2(a1)))
% 149.08/148.76 [8375]P145(x83753,x83751,x83752)+E(x83751,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x83751),f812(x83752,x83751,x83753))),f802(x83752,x83751,x83753)),x83752)+E(f326(f326(f81(a1),f326(f326(f82(a1),x83751),f804(x83752,x83751,x83753))),f803(x83752,x83751,x83753)),x83752)
% 149.08/148.76 [8376]P144(x83763,x83761,x83762)+E(x83761,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x83761),f816(x83762,x83761,x83763))),f813(x83762,x83761,x83763)),x83762)+E(f326(f326(f81(a1),f326(f326(f82(a1),x83761),f815(x83762,x83761,x83763))),f814(x83762,x83761,x83763)),x83762)
% 149.08/148.76 [8399]P144(x83993,x83991,x83992)+~P103(f326(x83993,x83992))+E(f326(f326(f81(a1),f326(f326(f82(a1),x83991),f816(x83992,x83991,x83993))),f813(x83992,x83991,x83993)),x83992)+E(f326(f326(f81(a1),f326(f326(f82(a1),x83991),f815(x83992,x83991,x83993))),f814(x83992,x83991,x83993)),x83992)
% 149.08/148.76 [8411]P145(x84113,x84111,x84112)+E(f326(f326(f81(a1),f326(f326(f82(a1),x84111),f812(x84112,x84111,x84113))),f802(x84112,x84111,x84113)),x84112)+E(f326(f326(f81(a1),f326(f326(f82(a1),x84111),f804(x84112,x84111,x84113))),f803(x84112,x84111,x84113)),x84112)+~P103(f326(x84113,f2(a1)))
% 149.08/148.76 [9063]~P122(x90631)+~E(x90633,f2(x90631))+~E(x90632,f2(x90631))+P103(f326(f326(f240(x90631),f326(f326(f81(x90631),f326(f326(f82(x90631),x90632),x90632)),f326(f326(f82(x90631),x90633),x90633))),f2(x90631)))
% 149.08/148.76 [10106]~P109(x101061)+~E(x101063,f2(x101061))+~E(x101062,f2(x101061))+P103(f326(f326(f240(x101061),f326(f326(f81(x101061),f326(f326(f251(x101061),x101062),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x101061),x101063),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))),f2(x101061)))
% 149.08/148.76 [4797]~E(x47973,x47971)+~P118(x47972)+E(x47971,f2(x47972))+E(f326(f326(f284(x47972),x47973),x47971),f79(x47972))
% 149.08/148.76 [4850]~P77(x48501)+~E(x48503,f190(x48501))+~E(x48502,f190(x48501))+E(f326(f326(f115(x48501),x48502),x48503),f190(x48501))
% 149.08/148.76 [4851]~P99(x48511)+~E(x48513,f249(x48511))+~E(x48512,f249(x48511))+E(f326(f326(f106(x48511),x48512),x48513),f249(x48511))
% 149.08/148.76 [4938]~P118(x49383)+E(x49381,x49382)+E(x49382,f2(x49383))+~E(f326(f326(f284(x49383),x49381),x49382),f79(x49383))
% 149.08/148.76 [4957]~P124(x49572)+E(x49571,f2(x49572))+E(x49573,f2(x49572))+~E(f326(f326(f82(x49572),x49573),x49571),f2(x49572))
% 149.08/148.76 [4958]~P136(x49582)+E(x49581,f2(x49582))+E(x49583,f2(x49582))+~E(f326(f326(f82(x49582),x49583),x49581),f2(x49582))
% 149.08/148.76 [5338]~P117(x53383)+E(x53381,x53382)+E(x53381,f326(f80(x53383),x53382))+~E(f326(f326(f82(x53383),x53381),x53381),f326(f326(f82(x53383),x53382),x53382))
% 149.08/148.76 [5378]~P86(x53781)+E(f326(f80(x53781),x53782),x53783)+~E(f326(f326(f115(x53781),x53782),x53783),f249(x53781))+~E(f326(f326(f106(x53781),x53782),x53783),f190(x53781))
% 149.08/148.76 [5457]~P109(x54573)+E(x54571,x54572)+P103(f326(f326(f241(x54573),x54572),x54571))+P103(f326(f326(f241(x54573),x54571),x54572))
% 149.08/148.76 [5458]~P105(x54583)+E(x54581,x54582)+P103(f326(f326(f241(x54583),x54582),x54581))+P103(f326(f326(f241(x54583),x54581),x54582))
% 149.08/148.76 [5459]~E(x54592,x54593)+~P105(x54591)+P103(f326(f326(f241(x54591),x54592),x54593))+P103(f326(f326(f240(x54591),x54592),x54593))
% 149.08/148.76 [5711]~P107(x57113)+E(x57111,x57112)+~P103(f326(f326(f240(x57113),x57112),x57111))+P103(f326(f326(f241(x57113),x57112),x57111))
% 149.08/148.76 [5713]~P105(x57133)+E(x57131,x57132)+~P103(f326(f326(f240(x57133),x57131),x57132))+P103(f326(f326(f241(x57133),x57131),x57132))
% 149.08/148.76 [5719]~P107(x57193)+E(x57191,x57192)+~P103(f326(f326(f240(x57193),x57191),x57192))+P103(f326(f326(f241(x57193),x57191),x57192))
% 149.08/148.76 [5821]P144(x58211,x58212,x58213)+~P103(f326(x58211,x58213))+P103(f326(f326(f241(a1),x58212),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x58212))
% 149.08/148.76 [5868]P145(x58681,x58682,x58683)+~P103(f326(x58681,f2(a1)))+P103(f326(f326(f241(a1),x58682),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x58682))
% 149.08/148.76 [5872]~P76(x58721)+E(f326(f326(f115(x58721),x58722),f11(x58721,x58723)),x58722)+~P103(f326(f62(x58721),x58723))+~P103(f326(f326(f328(x58721),x58722),x58723))
% 149.08/148.76 [5873]~P76(x58731)+E(f326(f326(f106(x58731),x58732),f10(x58731,x58733)),x58732)+~P103(f326(f62(x58731),x58733))+~P103(f326(f326(f328(x58731),x58732),x58733))
% 149.08/148.76 [5909]~P76(x59091)+E(f326(f326(f115(x59091),x59092),f10(x59091,x59093)),f10(x59091,x59093))+~P103(f326(f62(x59091),x59093))+~P103(f326(f326(f328(x59091),x59092),x59093))
% 149.08/148.76 [5910]~P76(x59101)+E(f326(f326(f106(x59101),x59102),f11(x59101,x59103)),f11(x59101,x59103))+~P103(f326(f62(x59101),x59103))+~P103(f326(f326(f328(x59101),x59102),x59103))
% 149.08/148.76 [5911]~P105(x59111)+E(f326(f326(f238(x59111),x59112),f14(x59111,x59113)),f14(x59111,x59113))+~P103(f326(f62(x59111),x59113))+~P103(f326(f326(f328(x59111),x59112),x59113))
% 149.08/148.76 [5912]~P105(x59121)+E(f326(f326(f239(x59121),x59122),f15(x59121,x59123)),f15(x59121,x59123))+~P103(f326(f62(x59121),x59123))+~P103(f326(f326(f328(x59121),x59122),x59123))
% 149.08/148.76 [5957]E(x59571,x59572)+~P107(x59573)+~P103(f326(f326(f240(x59573),x59572),x59571))+~P103(f326(f326(f240(x59573),x59571),x59572))
% 149.08/148.76 [6098]~P104(x60981)+P103(f326(f326(f241(x60981),x60983),x60982))+~P103(f326(f326(f240(x60981),x60983),x60982))+P103(f326(f326(f240(x60981),x60982),x60983))
% 149.08/148.76 [6119]~P105(x61191)+~P103(f326(f62(x61191),x61193))+P103(f326(f326(f240(x61191),x61192),f15(x61191,x61193)))+~P103(f326(f326(f328(x61191),x61192),x61193))
% 149.08/148.76 [6172]~P105(x61721)+E(f326(f326(f238(x61721),x61722),f12(x61721,f239(x61721),x61723)),x61722)+~P103(f326(f62(x61721),x61723))+~P103(f326(f326(f328(x61721),x61722),x61723))
% 149.08/148.76 [6173]~P105(x61731)+E(f326(f326(f239(x61731),x61732),f13(x61731,f238(x61731),x61733)),x61732)+~P103(f326(f62(x61731),x61733))+~P103(f326(f326(f328(x61731),x61732),x61733))
% 149.08/148.76 [6310]E(x63101,x63102)+~E(f326(f326(f22(a872),x63101),x63103),f326(f326(f22(a872),x63102),x63103))+~P103(f326(f326(f240(a872),x63103),x63101))+~P103(f326(f326(f240(a872),x63103),x63102))
% 149.08/148.76 [6339]~P105(x63391)+~P103(f326(f62(x63391),x63392))+~P103(f326(f326(f328(x63391),x63393),x63392))+P103(f326(f326(f240(x63391),f14(x63391,x63392)),x63393))
% 149.08/148.76 [6401]P145(x64012,x64011,x64013)+E(x64011,f2(a1))+P103(f326(f326(f241(a1),x64011),f802(x64013,x64011,x64012)))+P103(f326(f326(f241(a1),f2(a1)),x64011))
% 149.08/148.76 [6402]P144(x64022,x64021,x64023)+E(x64021,f2(a1))+P103(f326(f326(f241(a1),x64021),f813(x64023,x64021,x64022)))+P103(f326(f326(f241(a1),f2(a1)),x64021))
% 149.08/148.76 [6403]~P105(x64031)+E(f326(f326(f238(x64031),x64032),f13(x64031,f238(x64031),x64033)),f13(x64031,f238(x64031),x64033))+~P103(f326(f62(x64031),x64033))+~P103(f326(f326(f328(x64031),x64032),x64033))
% 149.08/148.76 [6404]~P105(x64041)+E(f326(f326(f239(x64041),x64042),f12(x64041,f239(x64041),x64043)),f12(x64041,f239(x64041),x64043))+~P103(f326(f62(x64041),x64043))+~P103(f326(f326(f328(x64041),x64042),x64043))
% 149.08/148.76 [6410]~P103(f326(x64101,x64102))+P103(f326(x64101,f504(x64102,x64101,x64103)))+P103(f326(x64101,f2(a872)))+~P103(f326(f326(f241(a872),x64102),x64103))
% 149.08/148.76 [6465]~P103(f326(x64651,x64652))+~P103(f326(f62(x64653),x64652))+P103(f326(x64651,f544(x64651,x64652,x64653)))+P103(f326(x64651,f190(f880(x64653,a866))))
% 149.08/148.76 [6478]~P109(x64781)+~P93(x64781)+P103(f326(f326(f240(x64781),f326(f108(x64781),x64782)),f326(f108(x64781),x64783)))+~P103(f326(f326(f240(a1),x64782),x64783))
% 149.08/148.76 [6479]~P109(x64791)+~P93(x64791)+P103(f326(f326(f241(x64791),f326(f108(x64791),x64792)),f326(f108(x64791),x64793)))+~P103(f326(f326(f241(a1),x64792),x64793))
% 149.08/148.76 [6482]~P103(f326(x64821,x64823))+~P103(f326(f62(x64822),x64823))+P103(f326(f62(x64822),f544(x64821,x64823,x64822)))+P103(f326(x64821,f190(f880(x64822,a866))))
% 149.08/148.76 [6515]P144(x65151,x65152,x65153)+~P103(f326(x65151,x65153))+P103(f326(f326(f241(a1),x65152),f813(x65153,x65152,x65151)))+P103(f326(f326(f241(a1),f2(a1)),x65152))
% 149.08/148.76 [6550]P145(x65501,x65502,x65503)+P103(f326(f326(f241(a1),x65502),f802(x65503,x65502,x65501)))+~P103(f326(x65501,f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x65502))
% 149.08/148.76 [6581]~P106(x65811)+~P94(x65811)+E(f326(f326(f238(x65811),f326(f108(x65811),x65812)),f326(f108(x65811),x65813)),f326(f108(x65811),x65813))+P103(f326(f326(f240(x65811),f326(f108(x65811),x65812)),f326(f108(x65811),x65813)))
% 149.08/148.76 [6582]~P106(x65821)+~P94(x65821)+E(f326(f326(f239(x65821),f326(f108(x65821),x65822)),f326(f108(x65821),x65823)),f326(f108(x65821),x65822))+P103(f326(f326(f240(x65821),f326(f108(x65821),x65822)),f326(f108(x65821),x65823)))
% 149.08/148.76 [6640]P145(x66402,x66401,x66403)+E(x66401,f2(a1))+~P103(f326(x66402,f812(x66403,x66401,x66402)))+P103(f326(f326(f241(a1),f2(a1)),x66401))
% 149.08/148.76 [6641]P144(x66412,x66411,x66413)+E(x66411,f2(a1))+~P103(f326(x66412,f813(x66413,x66411,x66412)))+P103(f326(f326(f241(a1),f2(a1)),x66411))
% 149.08/148.76 [6645]P103(f326(x66451,x66452))+~P103(f326(f62(x66453),x66452))+P103(f326(x66451,f805(x66451,x66452,x66453)))+~P103(f326(x66451,f190(f880(x66453,a866))))
% 149.08/148.76 [6664]P103(f326(x66641,x66642))+P103(f326(f62(x66643),f805(x66641,x66642,x66643)))+~P103(f326(f62(x66643),x66642))+~P103(f326(x66641,f190(f880(x66643,a866))))
% 149.08/148.76 [6729]P144(x67291,x67292,x67293)+~P103(f326(x67291,x67293))+~P103(f326(x67291,f813(x67293,x67292,x67291)))+P103(f326(f326(f241(a1),f2(a1)),x67292))
% 149.08/148.76 [6759]P145(x67591,x67592,x67593)+~P103(f326(x67591,f812(x67593,x67592,x67591)))+~P103(f326(x67591,f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x67592))
% 149.08/148.76 [6866]~P93(x68663)+~P109(x68663)+~P103(f326(f326(f240(x68663),f326(f108(x68663),x68661)),f326(f108(x68663),x68662)))+P103(f326(f326(f240(a1),x68661),x68662))
% 149.08/148.76 [6867]~P93(x68673)+~P109(x68673)+~P103(f326(f326(f241(x68673),f326(f108(x68673),x68671)),f326(f108(x68673),x68672)))+P103(f326(f326(f241(a1),x68671),x68672))
% 149.08/148.76 [6896]~P105(x68961)+~P28(x68961,x68963)+P28(x68961,f326(f326(f147(x68961),x68962),x68963))+~P103(f326(f326(f240(x68961),x68962),f729(x68963,x68962,x68961)))
% 149.08/148.76 [6897]~P105(x68971)+~P28(x68971,x68973)+P28(x68971,f326(f326(f147(x68971),x68972),x68973))+~P103(f326(f326(f240(x68971),x68972),f730(x68973,x68972,x68971)))
% 149.08/148.76 [6898]~P105(x68981)+~P28(x68981,x68983)+P28(x68981,f326(f326(f147(x68981),x68982),x68983))+~P103(f326(f326(f240(x68981),x68982),f775(x68982,x68983,x68981)))
% 149.08/148.76 [6982]P145(x69822,x69821,x69823)+E(x69821,f2(a1))+P103(f326(f326(f241(a1),x69821),f2(a1)))+P103(f326(f326(f241(a1),f803(x69823,x69821,x69822)),x69821))
% 149.08/148.76 [6983]P144(x69832,x69831,x69833)+E(x69831,f2(a1))+P103(f326(f326(f241(a1),x69831),f2(a1)))+P103(f326(f326(f241(a1),f814(x69833,x69831,x69832)),x69831))
% 149.08/148.76 [7024]P145(x70242,x70241,x70243)+E(x70241,f2(a1))+P103(f326(f326(f240(a1),f802(x70243,x70241,x70242)),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x70241))
% 149.08/148.76 [7025]P144(x70252,x70251,x70253)+E(x70251,f2(a1))+P103(f326(f326(f240(a1),f813(x70253,x70251,x70252)),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x70251))
% 149.08/148.76 [7047]~P105(x70471)+~P28(x70471,x70473)+E(f326(f326(f144(x70471,x70471,f5(x70471)),x70472),f166(x70471,x70472,x70473)),x70473)+~P103(f326(f326(f328(x70471),x70472),f326(f168(x70471),x70473)))
% 149.08/148.76 [7094]P144(x70941,x70942,x70943)+~P103(f326(x70941,x70943))+P103(f326(f326(f241(a1),x70942),f2(a1)))+P103(f326(f326(f241(a1),f814(x70943,x70942,x70941)),x70942))
% 149.08/148.76 [7100]~P106(x71001)+~P94(x71001)+E(f326(f326(f238(x71001),f326(f108(x71001),x71002)),f326(f108(x71001),x71003)),f326(f108(x71001),x71002))+~P103(f326(f326(f240(x71001),f326(f108(x71001),x71002)),f326(f108(x71001),x71003)))
% 149.08/148.76 [7101]~P106(x71011)+~P94(x71011)+E(f326(f326(f239(x71011),f326(f108(x71011),x71012)),f326(f108(x71011),x71013)),f326(f108(x71011),x71013))+~P103(f326(f326(f240(x71011),f326(f108(x71011),x71012)),f326(f108(x71011),x71013)))
% 149.08/148.76 [7115]P145(x71151,x71152,x71153)+~P103(f326(x71151,f2(a1)))+P103(f326(f326(f241(a1),x71152),f2(a1)))+P103(f326(f326(f241(a1),f803(x71153,x71152,x71151)),x71152))
% 149.08/148.76 [7123]P144(x71231,x71232,x71233)+~P103(f326(x71231,x71233))+P103(f326(f326(f240(a1),f813(x71233,x71232,x71231)),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x71232))
% 149.08/148.76 [7147]P145(x71471,x71472,x71473)+~P103(f326(x71471,f2(a1)))+P103(f326(f326(f240(a1),f802(x71473,x71472,x71471)),f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x71472))
% 149.08/148.76 [7175]~P103(f326(x71751,x71752))+P103(f326(x71751,f2(a872)))+~P103(f326(f326(f241(a872),x71752),x71753))+P103(f326(f326(f241(a872),f504(x71752,x71751,x71753)),x71753))
% 149.08/148.76 [7192]~P105(x71921)+~P28(x71921,x71923)+P28(x71921,f326(f326(f147(x71921),x71922),x71923))+P103(f326(f326(f328(x71921),f729(x71923,x71922,x71921)),f326(f168(x71921),x71923)))
% 149.08/148.76 [7193]~P105(x71931)+~P28(x71931,x71933)+P28(x71931,f326(f326(f147(x71931),x71932),x71933))+P103(f326(f326(f328(x71931),f730(x71933,x71932,x71931)),f326(f168(x71931),x71933)))
% 149.08/148.76 [7194]~P105(x71941)+~P28(x71941,x71943)+P28(x71941,f326(f326(f147(x71941),x71942),x71943))+P103(f326(f326(f328(x71941),f775(x71942,x71943,x71941)),f326(f168(x71941),x71943)))
% 149.08/148.76 [7298]~P105(x72981)+~P26(x72981)+~P103(f326(f326(f241(x72981),x72983),f40(x72981,x72982)))+P103(f326(f326(f328(x72981),f818(x72982,x72983,x72981)),x72982))
% 149.08/148.76 [7464]~P105(x74641)+~P26(x74641)+~P103(f326(f326(f241(x74641),f41(x74641,x74643)),x74642))+P103(f326(f326(f328(x74641),f361(x74642,x74643,x74641)),x74643))
% 149.08/148.76 [7465]~P105(x74651)+~P26(x74651)+~P103(f326(f326(f241(x74651),f41(x74651,x74653)),x74652))+P103(f326(f326(f241(x74651),f361(x74652,x74653,x74651)),x74652))
% 149.08/148.76 [7480]P145(x74802,x74801,x74803)+E(x74801,f2(a1))+P103(f326(f326(f241(a1),x74801),f802(x74803,x74801,x74802)))+P103(f326(f326(f241(a1),f803(x74803,x74801,x74802)),x74801))
% 149.08/148.76 [7481]P144(x74812,x74811,x74813)+E(x74811,f2(a1))+P103(f326(f326(f241(a1),x74811),f813(x74813,x74811,x74812)))+P103(f326(f326(f241(a1),f814(x74813,x74811,x74812)),x74811))
% 149.08/148.76 [7571]P145(x75713,x75711,x75712)+E(x75711,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x75711),f812(x75712,x75711,x75713))),f802(x75712,x75711,x75713)),x75712)+P103(f326(f326(f241(a1),f2(a1)),x75711))
% 149.08/148.76 [7572]P144(x75723,x75721,x75722)+E(x75721,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x75721),f816(x75722,x75721,x75723))),f813(x75722,x75721,x75723)),x75722)+P103(f326(f326(f241(a1),f2(a1)),x75721))
% 149.08/148.76 [7574]~P122(x75741)+~P103(f326(f326(f240(x75741),x75743),f2(x75741)))+P103(f326(f326(f240(x75741),f326(f326(f82(x75741),x75742),x75743)),f2(x75741)))+~P103(f326(f326(f240(x75741),f2(x75741)),x75742))
% 149.08/148.76 [7575]~P122(x75751)+~P103(f326(f326(f240(x75751),x75752),f2(x75751)))+P103(f326(f326(f240(x75751),f326(f326(f82(x75751),x75752),x75753)),f2(x75751)))+~P103(f326(f326(f240(x75751),f2(x75751)),x75753))
% 149.08/148.76 [7577]~P130(x75771)+~P103(f326(f326(f240(x75771),x75773),f2(x75771)))+P103(f326(f326(f240(x75771),f326(f326(f82(x75771),x75772),x75773)),f2(x75771)))+~P103(f326(f326(f240(x75771),f2(x75771)),x75772))
% 149.08/148.76 [7579]~P130(x75791)+~P103(f326(f326(f240(x75791),x75792),f2(x75791)))+P103(f326(f326(f240(x75791),f326(f326(f82(x75791),x75792),x75793)),f2(x75791)))+~P103(f326(f326(f240(x75791),f2(x75791)),x75793))
% 149.08/148.76 [7580]~P62(x75801)+~P103(f326(f326(f240(x75801),x75802),f2(x75801)))+P103(f326(f326(f240(x75801),f326(f326(f284(x75801),x75802),x75803)),f2(x75801)))+~P103(f326(f326(f241(x75801),f2(x75801)),x75803))
% 149.08/148.76 [7581]~P62(x75811)+~P103(f326(f326(f241(x75811),x75813),f2(x75811)))+P103(f326(f326(f240(x75811),f326(f326(f284(x75811),x75812),x75813)),f2(x75811)))+~P103(f326(f326(f240(x75811),f2(x75811)),x75812))
% 149.08/148.76 [7582]~P61(x75821)+~P103(f326(f326(f240(x75821),x75823),f2(x75821)))+P103(f326(f326(f240(x75821),f326(f326(f284(x75821),x75822),x75823)),f2(x75821)))+~P103(f326(f326(f240(x75821),f2(x75821)),x75822))
% 149.08/148.76 [7583]~P61(x75831)+~P103(f326(f326(f240(x75831),x75832),f2(x75831)))+P103(f326(f326(f240(x75831),f326(f326(f284(x75831),x75832),x75833)),f2(x75831)))+~P103(f326(f326(f240(x75831),f2(x75831)),x75833))
% 149.08/148.76 [7585]~P126(x75851)+~P103(f326(f326(f241(x75851),x75853),f2(x75851)))+P103(f326(f326(f241(x75851),f326(f326(f82(x75851),x75852),x75853)),f2(x75851)))+~P103(f326(f326(f241(x75851),f2(x75851)),x75852))
% 149.08/148.76 [7586]~P126(x75861)+~P103(f326(f326(f241(x75861),x75862),f2(x75861)))+P103(f326(f326(f241(x75861),f326(f326(f82(x75861),x75862),x75863)),f2(x75861)))+~P103(f326(f326(f241(x75861),f2(x75861)),x75863))
% 149.08/148.76 [7587]~P62(x75871)+~P103(f326(f326(f241(x75871),x75873),f2(x75871)))+P103(f326(f326(f241(x75871),f326(f326(f284(x75871),x75872),x75873)),f2(x75871)))+~P103(f326(f326(f241(x75871),f2(x75871)),x75872))
% 149.08/148.76 [7588]~P62(x75881)+~P103(f326(f326(f241(x75881),x75882),f2(x75881)))+P103(f326(f326(f241(x75881),f326(f326(f284(x75881),x75882),x75883)),f2(x75881)))+~P103(f326(f326(f241(x75881),f2(x75881)),x75883))
% 149.08/148.76 [7589]~P61(x75891)+~P103(f326(f326(f241(x75891),x75893),f2(x75891)))+P103(f326(f326(f241(x75891),f326(f326(f284(x75891),x75892),x75893)),f2(x75891)))+~P103(f326(f326(f241(x75891),f2(x75891)),x75892))
% 149.08/148.76 [7590]~P61(x75901)+~P103(f326(f326(f241(x75901),x75902),f2(x75901)))+P103(f326(f326(f241(x75901),f326(f326(f284(x75901),x75902),x75903)),f2(x75901)))+~P103(f326(f326(f241(x75901),f2(x75901)),x75903))
% 149.08/148.76 [7605]P144(x76051,x76052,x76053)+~P103(f326(x76051,x76053))+P103(f326(f326(f241(a1),x76052),f813(x76053,x76052,x76051)))+P103(f326(f326(f241(a1),f814(x76053,x76052,x76051)),x76052))
% 149.08/148.76 [7618]P145(x76181,x76182,x76183)+P103(f326(f326(f241(a1),x76182),f802(x76183,x76182,x76181)))+~P103(f326(x76181,f2(a1)))+P103(f326(f326(f241(a1),f803(x76183,x76182,x76181)),x76182))
% 149.08/148.76 [7668]P145(x76682,x76681,x76683)+E(x76681,f2(a1))+~P103(f326(x76682,f812(x76683,x76681,x76682)))+P103(f326(f326(f241(a1),f803(x76683,x76681,x76682)),x76681))
% 149.08/148.76 [7669]P144(x76692,x76691,x76693)+E(x76691,f2(a1))+~P103(f326(x76692,f813(x76693,x76691,x76692)))+P103(f326(f326(f241(a1),f814(x76693,x76691,x76692)),x76691))
% 149.08/148.76 [7680]P144(x76803,x76801,x76802)+~P103(f326(x76803,x76802))+E(f326(f326(f81(a1),f326(f326(f82(a1),x76801),f816(x76802,x76801,x76803))),f813(x76802,x76801,x76803)),x76802)+P103(f326(f326(f241(a1),f2(a1)),x76801))
% 149.08/148.76 [7698]P145(x76983,x76981,x76982)+E(f326(f326(f81(a1),f326(f326(f82(a1),x76981),f812(x76982,x76981,x76983))),f802(x76982,x76981,x76983)),x76982)+~P103(f326(x76983,f2(a1)))+P103(f326(f326(f241(a1),f2(a1)),x76981))
% 149.08/148.76 [7723]~P103(f326(x77231,x77233))+~P103(f326(f62(x77232),x77233))+P103(f326(f326(f328(x77232),f541(x77231,x77233,x77232)),f544(x77231,x77233,x77232)))+P103(f326(x77231,f190(f880(x77232,a866))))
% 149.08/148.76 [7734]P144(x77341,x77342,x77343)+~P103(f326(x77341,x77343))+~P103(f326(x77341,f813(x77343,x77342,x77341)))+P103(f326(f326(f241(a1),f814(x77343,x77342,x77341)),x77342))
% 149.08/148.76 [7739]P145(x77391,x77392,x77393)+~P103(f326(x77391,f812(x77393,x77392,x77391)))+~P103(f326(x77391,f2(a1)))+P103(f326(f326(f241(a1),f803(x77393,x77392,x77391)),x77392))
% 149.08/148.76 [7842]~P122(x78421)+~P103(f326(f326(f240(x78421),f326(f326(f82(x78421),x78423),x78422)),f2(x78421)))+P103(f326(f326(f240(x78421),x78422),f2(x78421)))+P103(f326(f326(f240(x78421),f2(x78421)),x78422))
% 149.08/148.76 [7843]~P122(x78431)+~P103(f326(f326(f240(x78431),f326(f326(f82(x78431),x78432),x78433)),f2(x78431)))+P103(f326(f326(f240(x78431),x78432),f2(x78431)))+P103(f326(f326(f240(x78431),f2(x78431)),x78432))
% 149.08/148.76 [7844]~P61(x78441)+~P103(f326(f326(f240(x78441),f326(f326(f284(x78441),x78443),x78442)),f2(x78441)))+P103(f326(f326(f240(x78441),x78442),f2(x78441)))+P103(f326(f326(f240(x78441),f2(x78441)),x78442))
% 149.08/148.76 [7845]~P61(x78451)+~P103(f326(f326(f240(x78451),f326(f326(f284(x78451),x78452),x78453)),f2(x78451)))+P103(f326(f326(f240(x78451),x78452),f2(x78451)))+P103(f326(f326(f240(x78451),f2(x78451)),x78452))
% 149.08/148.76 [7846]~P61(x78461)+~P103(f326(f326(f241(x78461),f326(f326(f284(x78461),x78463),x78462)),f2(x78461)))+P103(f326(f326(f241(x78461),x78462),f2(x78461)))+P103(f326(f326(f241(x78461),f2(x78461)),x78462))
% 149.08/148.76 [7847]~P61(x78471)+~P103(f326(f326(f241(x78471),f326(f326(f284(x78471),x78472),x78473)),f2(x78471)))+P103(f326(f326(f241(x78471),x78472),f2(x78471)))+P103(f326(f326(f241(x78471),f2(x78471)),x78472))
% 149.08/148.76 [7871]~P122(x78711)+~P103(f326(f326(f240(x78711),f326(f326(f82(x78711),x78712),x78713)),f2(x78711)))+P103(f326(f326(f240(x78711),f2(x78711)),x78712))+P103(f326(f326(f240(x78711),f2(x78711)),x78713))
% 149.08/148.76 [7872]~P61(x78721)+~P103(f326(f326(f240(x78721),f326(f326(f284(x78721),x78722),x78723)),f2(x78721)))+P103(f326(f326(f240(x78721),f2(x78721)),x78722))+P103(f326(f326(f240(x78721),f2(x78721)),x78723))
% 149.08/148.76 [7873]~P61(x78731)+~P103(f326(f326(f241(x78731),f326(f326(f284(x78731),x78732),x78733)),f2(x78731)))+P103(f326(f326(f241(x78731),f2(x78731)),x78732))+P103(f326(f326(f241(x78731),f2(x78731)),x78733))
% 149.08/148.76 [7894]P145(x78942,x78941,x78943)+E(x78941,f2(a1))+P103(f326(f326(f240(a1),f802(x78943,x78941,x78942)),f2(a1)))+P103(f326(f326(f241(a1),f803(x78943,x78941,x78942)),x78941))
% 149.08/148.76 [7895]P144(x78952,x78951,x78953)+E(x78951,f2(a1))+P103(f326(f326(f240(a1),f813(x78953,x78951,x78952)),f2(a1)))+P103(f326(f326(f241(a1),f814(x78953,x78951,x78952)),x78951))
% 149.08/148.76 [7902]~P108(x79021)+~P103(f326(f326(f241(x79021),x79022),f79(x79021)))+P103(f326(f326(f241(x79021),f326(f326(f251(x79021),x79022),f326(a117,x79023))),f79(x79021)))+~P103(f326(f326(f241(x79021),f2(x79021)),x79022))
% 149.08/148.76 [7957]~P105(x79571)+~E(x79573,f118(x79571))+~P28(x79571,f326(f165(x79571),x79573))+E(f326(f138(x79571,x79571,f326(f7(x79571,x79571,x79571),f239(x79571)),x79572),f326(f165(x79571),x79573)),x79572)
% 149.08/148.76 [7959]P144(x79591,x79592,x79593)+~P103(f326(x79591,x79593))+P103(f326(f326(f240(a1),f813(x79593,x79592,x79591)),f2(a1)))+P103(f326(f326(f241(a1),f814(x79593,x79592,x79591)),x79592))
% 149.08/148.76 [7969]P145(x79691,x79692,x79693)+~P103(f326(x79691,f2(a1)))+P103(f326(f326(f240(a1),f802(x79693,x79692,x79691)),f2(a1)))+P103(f326(f326(f241(a1),f803(x79693,x79692,x79691)),x79692))
% 149.08/148.76 [8194]P145(x81943,x81941,x81942)+E(x81941,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x81941),f812(x81942,x81941,x81943))),f802(x81942,x81941,x81943)),x81942)+P103(f326(f326(f241(a1),f803(x81942,x81941,x81943)),x81941))
% 149.08/148.76 [8195]P144(x81953,x81951,x81952)+E(x81951,f2(a1))+E(f326(f326(f81(a1),f326(f326(f82(a1),x81951),f816(x81952,x81951,x81953))),f813(x81952,x81951,x81953)),x81952)+P103(f326(f326(f241(a1),f814(x81952,x81951,x81953)),x81951))
% 149.08/148.76 [8231]P144(x82313,x82311,x82312)+~P103(f326(x82313,x82312))+E(f326(f326(f81(a1),f326(f326(f82(a1),x82311),f816(x82312,x82311,x82313))),f813(x82312,x82311,x82313)),x82312)+P103(f326(f326(f241(a1),f814(x82312,x82311,x82313)),x82311))
% 149.08/148.76 [8232]~P72(x82321)+~P73(x82321)+~P39(x82323)+E(f326(f326(f6(a872,x82321),f326(f326(f8(a1,x82321,a872),x82322),f105(a1))),f326(f305(a1,a872,a109),x82323)),f326(f326(f6(a1,x82321),x82322),x82323))
% 149.08/148.76 [8233]~P72(x82331)+~P73(x82331)+~P39(x82333)+E(f326(f326(f9(a872,x82331),f326(f326(f8(a1,x82331,a872),x82332),f105(a1))),f326(f305(a1,a872,a109),x82333)),f326(f326(f9(a1,x82331),x82332),x82333))
% 149.08/148.76 [8242]P145(x82423,x82421,x82422)+E(f326(f326(f81(a1),f326(f326(f82(a1),x82421),f812(x82422,x82421,x82423))),f802(x82422,x82421,x82423)),x82422)+~P103(f326(x82423,f2(a1)))+P103(f326(f326(f241(a1),f803(x82422,x82421,x82423)),x82421))
% 149.08/148.76 [8261]~E(x82612,f2(a872))+~E(f326(f260(a872,a872),x82613),f2(a872))+~E(x82611,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x82613)),x82612)),f326(f264(a872,a872),x82613)))+P103(f326(f48(x82611,x82612),x82613))
% 149.08/148.76 [8315]P103(f326(x83151,x83152))+~P103(f326(f326(f328(x83153),f807(x83151,x83152,x83153)),f805(x83151,x83152,x83153)))+~P103(f326(f62(x83153),x83152))+~P103(f326(x83151,f190(f880(x83153,a866))))
% 149.08/148.76 [8934]P103(f326(x89341,x89342))+~P103(f326(f62(x89343),x89342))+~P103(f326(x89341,f326(f326(f304(x89343),f807(x89341,x89342,x89343)),f805(x89341,x89342,x89343))))+~P103(f326(x89341,f190(f880(x89343,a866))))
% 149.08/148.76 [9167]P103(f326(f326(f240(a1),x91671),f2(a1)))+~P103(f326(f326(f241(a1),f326(f326(f81(a1),f326(f326(f82(a1),x91673),x91671)),x91672)),f2(a1)))+~P103(f326(f326(f240(a1),f2(a1)),x91672))+~P103(f326(f326(f241(a1),f2(a1)),x91673))
% 149.08/148.76 [5782]~P76(x57822)+E(x57821,f190(f880(x57822,a866)))+~P103(f326(f62(x57822),x57821))+E(f10(x57822,f326(f326(f304(x57822),x57823),x57821)),f326(f326(f115(x57822),x57823),f10(x57822,x57821)))
% 149.08/148.76 [5783]~P76(x57832)+E(x57831,f190(f880(x57832,a866)))+~P103(f326(f62(x57832),x57831))+E(f11(x57832,f326(f326(f304(x57832),x57833),x57831)),f326(f326(f106(x57832),x57833),f11(x57832,x57831)))
% 149.08/148.76 [5784]~P105(x57842)+E(x57841,f190(f880(x57842,a866)))+~P103(f326(f62(x57842),x57841))+E(f14(x57842,f326(f326(f304(x57842),x57843),x57841)),f326(f326(f238(x57842),x57843),f14(x57842,x57841)))
% 149.08/148.76 [5785]~P105(x57852)+E(x57851,f190(f880(x57852,a866)))+~P103(f326(f62(x57852),x57851))+E(f15(x57852,f326(f326(f304(x57852),x57853),x57851)),f326(f326(f239(x57852),x57853),f15(x57852,x57851)))
% 149.08/148.76 [6095]~P122(x60951)+~E(x60953,f2(x60951))+~E(x60952,f2(x60951))+E(f326(f326(f81(x60951),f326(f326(f82(x60951),x60952),x60952)),f326(f326(f82(x60951),x60953),x60953)),f2(x60951))
% 149.08/148.76 [6166]~P96(x61662)+E(x61661,f190(f880(x61662,a866)))+~P103(f326(f62(x61662),x61661))+E(f326(f64(x61662,f82(x61662)),f326(f326(f304(x61662),x61663),x61661)),f326(f326(f82(x61662),x61663),f326(f64(x61662,f82(x61662)),x61661)))
% 149.08/148.76 [6289]~P105(x62892)+E(x62891,f190(f880(x62892,a866)))+~P103(f326(f62(x62892),x62891))+E(f12(x62892,f239(x62892),f326(f326(f304(x62892),x62893),x62891)),f326(f326(f239(x62892),x62893),f12(x62892,f239(x62892),x62891)))
% 149.08/148.76 [6290]~P105(x62902)+E(x62901,f190(f880(x62902,a866)))+~P103(f326(f62(x62902),x62901))+E(f13(x62902,f238(x62902),f326(f326(f304(x62902),x62903),x62901)),f326(f326(f238(x62902),x62903),f13(x62902,f238(x62902),x62901)))
% 149.08/148.76 [6794]~P69(x67941)+~P103(f326(f62(x67941),x67943))+E(f326(f64(x67941,f82(x67941)),f326(f326(f304(x67941),x67942),x67943)),f326(f326(f65(x67941,x67941,f82(x67941)),x67942),x67943))+P103(f326(f326(f328(x67941),x67942),x67943))
% 149.08/148.76 [6874]~E(f326(f326(f81(a1),x68742),f326(f326(f82(a1),x68743),x68741)),x68743)+~P103(f326(f326(f241(a1),f2(a1)),x68743))+P103(f326(f326(f240(a1),f79(a1)),x68741))+~P103(f326(f326(f241(a1),x68742),x68743))
% 149.08/148.76 [6903]~E(f326(f326(f81(a1),x69032),f326(f326(f82(a1),x69033),x69031)),x69033)+P103(f326(f326(f240(a1),x69031),f79(a1)))+~P103(f326(f326(f240(a1),f2(a1)),x69032))+~P103(f326(f326(f241(a1),f2(a1)),x69033))
% 149.08/148.76 [6919]E(x69191,f2(a872))+~P103(f326(f48(x69193,x69191),x69192))+~P103(f326(f326(f241(a872),f2(a872)),x69191))+P103(f326(f326(f241(a872),f326(f264(a872,a872),x69192)),x69191))
% 149.08/148.76 [6949]~P134(x69491)+~P103(f326(f326(f240(x69491),x69492),f2(x69491)))+~P103(f326(f326(f240(x69491),x69493),f2(x69491)))+E(f326(f326(f82(x69491),f326(f76(x69491),x69492)),f326(f76(x69491),x69493)),f326(f76(x69491),f326(f326(f82(x69491),x69492),x69493)))
% 149.08/148.76 [7001]~P134(x70011)+~P103(f326(f326(f240(x70011),x70012),f2(x70011)))+E(f326(f326(f82(x70011),f326(f76(x70011),x70012)),f326(f76(x70011),x70013)),f326(f76(x70011),f326(f326(f82(x70011),x70012),x70013)))+~P103(f326(f326(f240(x70011),f2(x70011)),x70013))
% 149.08/148.76 [7002]~P134(x70021)+~P103(f326(f326(f240(x70021),x70023),f2(x70021)))+E(f326(f326(f82(x70021),f326(f76(x70021),x70022)),f326(f76(x70021),x70023)),f326(f76(x70021),f326(f326(f82(x70021),x70022),x70023)))+~P103(f326(f326(f240(x70021),f2(x70021)),x70022))
% 149.08/148.76 [7056]~P134(x70561)+E(f326(f326(f82(x70561),f326(f76(x70561),x70562)),f326(f76(x70561),x70563)),f326(f76(x70561),f326(f326(f82(x70561),x70562),x70563)))+~P103(f326(f326(f240(x70561),f2(x70561)),x70562))+~P103(f326(f326(f240(x70561),f2(x70561)),x70563))
% 149.08/148.76 [7072]~P122(x70721)+~P103(f326(f326(f240(x70721),x70723),f2(x70721)))+~P103(f326(f326(f240(x70721),x70722),f2(x70721)))+P103(f326(f326(f240(x70721),f2(x70721)),f326(f326(f82(x70721),x70722),x70723)))
% 149.08/148.76 [7074]~P131(x70741)+~P103(f326(f326(f240(x70741),x70743),f2(x70741)))+~P103(f326(f326(f240(x70741),x70742),f2(x70741)))+P103(f326(f326(f240(x70741),f2(x70741)),f326(f326(f82(x70741),x70742),x70743)))
% 149.08/148.76 [7075]~P62(x70751)+~P103(f326(f326(f241(x70751),x70753),f2(x70751)))+~P103(f326(f326(f240(x70751),x70752),f2(x70751)))+P103(f326(f326(f240(x70751),f2(x70751)),f326(f326(f284(x70751),x70752),x70753)))
% 149.08/148.76 [7076]~P61(x70761)+~P103(f326(f326(f240(x70761),x70763),f2(x70761)))+~P103(f326(f326(f240(x70761),x70762),f2(x70761)))+P103(f326(f326(f240(x70761),f2(x70761)),f326(f326(f284(x70761),x70762),x70763)))
% 149.08/148.76 [7077]~P122(x70771)+~P103(f326(f326(f241(x70771),x70773),f2(x70771)))+~P103(f326(f326(f241(x70771),x70772),f2(x70771)))+P103(f326(f326(f241(x70771),f2(x70771)),f326(f326(f82(x70771),x70772),x70773)))
% 149.08/148.76 [7078]~P62(x70781)+~P103(f326(f326(f241(x70781),x70783),f2(x70781)))+~P103(f326(f326(f241(x70781),x70782),f2(x70781)))+P103(f326(f326(f241(x70781),f2(x70781)),f326(f326(f284(x70781),x70782),x70783)))
% 149.08/148.76 [7079]~P61(x70791)+~P103(f326(f326(f241(x70791),x70793),f2(x70791)))+~P103(f326(f326(f241(x70791),x70792),f2(x70791)))+P103(f326(f326(f241(x70791),f2(x70791)),f326(f326(f284(x70791),x70792),x70793)))
% 149.08/148.76 [7080]~P108(x70801)+~P103(f326(f326(f241(a872),f2(a872)),x70803))+~P103(f326(f326(f241(x70801),f79(x70801)),x70802))+P103(f326(f326(f241(x70801),f79(x70801)),f326(f326(f251(x70801),x70802),x70803)))
% 149.08/148.76 [7177]~P122(x71771)+~P103(f326(f326(f240(x71771),f2(x71771)),x71773))+~P103(f326(f326(f240(x71771),f2(x71771)),x71772))+P103(f326(f326(f240(x71771),f2(x71771)),f326(f326(f82(x71771),x71772),x71773)))
% 149.08/148.76 [7178]~P130(x71781)+~P103(f326(f326(f240(x71781),f2(x71781)),x71783))+~P103(f326(f326(f240(x71781),f2(x71781)),x71782))+P103(f326(f326(f240(x71781),f2(x71781)),f326(f326(f82(x71781),x71782),x71783)))
% 149.08/148.76 [7179]~P131(x71791)+~P103(f326(f326(f240(x71791),f2(x71791)),x71793))+~P103(f326(f326(f240(x71791),f2(x71791)),x71792))+P103(f326(f326(f240(x71791),f2(x71791)),f326(f326(f82(x71791),x71792),x71793)))
% 149.08/148.76 [7180]~P62(x71801)+~P103(f326(f326(f241(x71801),f2(x71801)),x71803))+~P103(f326(f326(f240(x71801),f2(x71801)),x71802))+P103(f326(f326(f240(x71801),f2(x71801)),f326(f326(f284(x71801),x71802),x71803)))
% 149.08/148.76 [7181]~P61(x71811)+~P103(f326(f326(f240(x71811),f2(x71811)),x71813))+~P103(f326(f326(f240(x71811),f2(x71811)),x71812))+P103(f326(f326(f240(x71811),f2(x71811)),f326(f326(f284(x71811),x71812),x71813)))
% 149.08/148.76 [7182]~P108(x71821)+~P103(f326(f326(f241(x71821),f79(x71821)),x71823))+~P103(f326(f326(f241(x71821),f79(x71821)),x71822))+P103(f326(f326(f241(x71821),f79(x71821)),f326(f326(f82(x71821),x71822),x71823)))
% 149.08/148.76 [7185]~P88(x71851)+~P103(f326(f326(f241(x71851),f2(x71851)),x71853))+~P103(f326(f326(f241(x71851),f2(x71851)),x71852))+P103(f326(f326(f241(x71851),f2(x71851)),f326(f326(f81(x71851),x71852),x71853)))
% 149.08/148.76 [7186]~P126(x71861)+~P103(f326(f326(f241(x71861),f2(x71861)),x71863))+~P103(f326(f326(f241(x71861),f2(x71861)),x71862))+P103(f326(f326(f241(x71861),f2(x71861)),f326(f326(f82(x71861),x71862),x71863)))
% 149.08/148.76 [7187]~P62(x71871)+~P103(f326(f326(f241(x71871),f2(x71871)),x71873))+~P103(f326(f326(f241(x71871),f2(x71871)),x71872))+P103(f326(f326(f241(x71871),f2(x71871)),f326(f326(f284(x71871),x71872),x71873)))
% 149.08/148.76 [7188]~P61(x71881)+~P103(f326(f326(f241(x71881),f2(x71881)),x71883))+~P103(f326(f326(f241(x71881),f2(x71881)),x71882))+P103(f326(f326(f241(x71881),f2(x71881)),f326(f326(f284(x71881),x71882),x71883)))
% 149.08/148.76 [7259]~P76(x72591)+~P103(f326(f62(x72591),x72593))+E(f10(x72591,f326(f326(f304(x72591),x72592),x72593)),x72592)+~E(f326(f326(f22(f880(x72591,a866)),x72593),f326(f326(f304(x72591),x72592),f190(f880(x72591,a866)))),f190(f880(x72591,a866)))
% 149.08/148.76 [7260]~P76(x72601)+~P103(f326(f62(x72601),x72603))+E(f11(x72601,f326(f326(f304(x72601),x72602),x72603)),x72602)+~E(f326(f326(f22(f880(x72601,a866)),x72603),f326(f326(f304(x72601),x72602),f190(f880(x72601,a866)))),f190(f880(x72601,a866)))
% 149.08/148.76 [7261]~P105(x72611)+~P103(f326(f62(x72611),x72613))+E(f14(x72611,f326(f326(f304(x72611),x72612),x72613)),x72612)+~E(f326(f326(f22(f880(x72611,a866)),x72613),f326(f326(f304(x72611),x72612),f190(f880(x72611,a866)))),f190(f880(x72611,a866)))
% 149.08/148.76 [7262]~P105(x72621)+~P103(f326(f62(x72621),x72623))+E(f15(x72621,f326(f326(f304(x72621),x72622),x72623)),x72622)+~E(f326(f326(f22(f880(x72621,a866)),x72623),f326(f326(f304(x72621),x72622),f190(f880(x72621,a866)))),f190(f880(x72621,a866)))
% 149.08/148.76 [7263]~P122(x72631)+P103(f326(f326(f240(x72631),x72632),f2(x72631)))+P103(f326(f326(f240(x72631),f2(x72631)),x72633))+~P103(f326(f326(f240(x72631),f2(x72631)),f326(f326(f82(x72631),x72633),x72632)))
% 149.08/148.76 [7264]~P122(x72641)+P103(f326(f326(f240(x72641),x72642),f2(x72641)))+P103(f326(f326(f240(x72641),f2(x72641)),x72643))+~P103(f326(f326(f240(x72641),f2(x72641)),f326(f326(f82(x72641),x72642),x72643)))
% 149.08/148.76 [7265]~P61(x72651)+P103(f326(f326(f240(x72651),x72652),f2(x72651)))+P103(f326(f326(f240(x72651),f2(x72651)),x72653))+~P103(f326(f326(f240(x72651),f2(x72651)),f326(f326(f284(x72651),x72653),x72652)))
% 149.08/148.76 [7266]~P61(x72661)+P103(f326(f326(f240(x72661),x72662),f2(x72661)))+P103(f326(f326(f240(x72661),f2(x72661)),x72663))+~P103(f326(f326(f240(x72661),f2(x72661)),f326(f326(f284(x72661),x72662),x72663)))
% 149.08/148.76 [7267]~P122(x72671)+P103(f326(f326(f240(x72671),x72672),f2(x72671)))+P103(f326(f326(f240(x72671),f2(x72671)),x72672))+~P103(f326(f326(f240(x72671),f2(x72671)),f326(f326(f82(x72671),x72673),x72672)))
% 149.08/148.76 [7268]~P122(x72681)+P103(f326(f326(f240(x72681),x72682),f2(x72681)))+P103(f326(f326(f240(x72681),f2(x72681)),x72682))+~P103(f326(f326(f240(x72681),f2(x72681)),f326(f326(f82(x72681),x72682),x72683)))
% 149.08/148.76 [7269]~P61(x72691)+P103(f326(f326(f240(x72691),x72692),f2(x72691)))+P103(f326(f326(f240(x72691),f2(x72691)),x72692))+~P103(f326(f326(f240(x72691),f2(x72691)),f326(f326(f284(x72691),x72693),x72692)))
% 149.08/148.76 [7270]~P61(x72701)+P103(f326(f326(f240(x72701),x72702),f2(x72701)))+P103(f326(f326(f240(x72701),f2(x72701)),x72702))+~P103(f326(f326(f240(x72701),f2(x72701)),f326(f326(f284(x72701),x72702),x72703)))
% 149.08/148.76 [7271]~P61(x72711)+P103(f326(f326(f241(x72711),x72712),f2(x72711)))+P103(f326(f326(f241(x72711),f2(x72711)),x72713))+~P103(f326(f326(f241(x72711),f2(x72711)),f326(f326(f284(x72711),x72713),x72712)))
% 149.08/148.76 [7272]~P61(x72721)+P103(f326(f326(f241(x72721),x72722),f2(x72721)))+P103(f326(f326(f241(x72721),f2(x72721)),x72723))+~P103(f326(f326(f241(x72721),f2(x72721)),f326(f326(f284(x72721),x72722),x72723)))
% 149.08/148.76 [7273]~P61(x72731)+P103(f326(f326(f241(x72731),x72732),f2(x72731)))+P103(f326(f326(f241(x72731),f2(x72731)),x72732))+~P103(f326(f326(f241(x72731),f2(x72731)),f326(f326(f284(x72731),x72733),x72732)))
% 149.08/148.76 [7274]~P61(x72741)+P103(f326(f326(f241(x72741),x72742),f2(x72741)))+P103(f326(f326(f241(x72741),f2(x72741)),x72742))+~P103(f326(f326(f241(x72741),f2(x72741)),f326(f326(f284(x72741),x72742),x72743)))
% 149.08/148.76 [7364]~E(f326(f326(f106(f880(x73641,a866)),f326(f168(x73641),x73642)),f326(f168(x73641),x73643)),f190(f880(x73641,a866)))+~P103(f326(f133(x73641),x73643))+~P103(f326(f133(x73641),x73642))+P103(f326(f133(x73641),f326(f326(f126(x73641),x73642),x73643)))
% 149.08/148.76 [7365]~P105(x73651)+~P103(f326(f62(x73651),x73653))+E(f12(x73651,f239(x73651),f326(f326(f304(x73651),x73652),x73653)),x73652)+~E(f326(f326(f22(f880(x73651,a866)),x73653),f326(f326(f304(x73651),x73652),f190(f880(x73651,a866)))),f190(f880(x73651,a866)))
% 149.08/148.76 [7366]~P105(x73661)+~P103(f326(f62(x73661),x73663))+E(f13(x73661,f238(x73661),f326(f326(f304(x73661),x73662),x73663)),x73662)+~E(f326(f326(f22(f880(x73661,a866)),x73663),f326(f326(f304(x73661),x73662),f190(f880(x73661,a866)))),f190(f880(x73661,a866)))
% 149.08/148.76 [7382]~P84(x73821)+~P103(f326(f326(f240(x73821),x73822),x73823))+~P103(f326(f326(f240(x73821),f326(f80(x73821),x73822)),x73823))+P103(f326(f326(f240(x73821),f326(f76(x73821),x73822)),x73823))
% 149.08/148.76 [7383]~P109(x73831)+~P103(f326(f326(f241(x73831),x73832),x73833))+~P103(f326(f326(f241(x73831),f326(f80(x73831),x73832)),x73833))+P103(f326(f326(f241(x73831),f326(f76(x73831),x73832)),x73833))
% 149.08/148.76 [7454]~P126(x74541)+P103(f326(f326(f241(x74541),f2(x74541)),x74542))+~P103(f326(f326(f241(x74541),f2(x74541)),x74543))+~P103(f326(f326(f241(x74541),f2(x74541)),f326(f326(f82(x74541),x74543),x74542)))
% 149.08/148.76 [7455]~P126(x74551)+P103(f326(f326(f241(x74551),f2(x74551)),x74552))+~P103(f326(f326(f241(x74551),f2(x74551)),x74553))+~P103(f326(f326(f241(x74551),f2(x74551)),f326(f326(f82(x74551),x74552),x74553)))
% 149.08/148.76 [7757]E(x77571,x77572)+~P103(f326(f62(x77573),x77571))+~P103(f326(f326(f240(a872),f326(f38(x77573),x77571)),f326(f38(x77573),x77572)))+~P103(f326(f326(f240(f880(x77573,a866)),x77572),x77571))
% 149.08/148.76 [7898]~P103(f326(f326(f241(a1),x78981),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x78982))+~P103(f326(f326(f240(a1),x78982),x78983))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x78981),x78982)),f326(f326(f39(a1),x78981),x78983)))
% 149.08/148.76 [7910]~P103(f326(f326(f240(a1),f2(a1)),x79101))+~P103(f326(f326(f241(a1),f2(a1)),x79103))+~P103(f326(f326(f240(a1),x79103),x79102))+P103(f326(f326(f240(a1),f326(f326(f39(a1),x79101),x79102)),f326(f326(f39(a1),x79101),x79103)))
% 149.08/148.76 [8050]E(f326(x80501,f448(x80502,x80501,x80503)),x80502)+~P103(f326(f326(f240(a1),x80502),f326(x80501,x80503)))+P103(f326(f326(f241(a872),f449(x80502,x80501,x80503)),x80503))+~P103(f326(f326(f240(a1),f326(x80501,f2(a872))),x80502))
% 149.08/148.76 [8051]E(f326(x80511,f451(x80512,x80511,x80513)),x80512)+~P103(f326(f326(f240(a1),x80512),f326(x80511,x80513)))+P103(f326(f326(f241(a872),f452(x80512,x80511,x80513)),x80513))+~P103(f326(f326(f240(a1),f326(x80511,f2(a872))),x80512))
% 149.08/148.76 [8154]~P103(f326(f62(x81541),x81543))+~P103(f326(f326(f241(a872),f326(f38(x81541),x81542)),f326(f38(x81541),x81543)))+~P103(f326(f326(f240(f880(x81541,a866)),x81542),x81543))+P103(f326(f326(f241(f880(x81541,a866)),x81542),x81543))
% 149.08/148.76 [8183]E(f326(f326(f81(a1),f393(x81833,x81831,x81832)),f394(x81833,x81831,x81832)),x81831)+E(f326(f326(f22(a1),x81831),x81832),x81831)+~P103(f326(f326(f241(a1),f2(a1)),x81832))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x81831),f79(a1))),x81833))
% 149.08/148.76 [8184]E(f326(f326(f22(a1),f403(x81843,x81841,x81842)),f401(x81843,x81841,x81842)),x81841)+E(f326(f326(f81(a1),x81841),x81842),x81841)+~P103(f326(f326(f241(a1),f2(a1)),x81842))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x81841),f79(a1))),x81843))
% 149.08/148.76 [8237]~P103(f326(f326(f240(a872),x82373),x82371))+P103(f326(f326(f240(a872),x82371),x82372))+~P103(f326(f326(f240(a872),x82373),x82372))+~P103(f326(f326(f240(a872),f326(f326(f22(a872),x82371),x82373)),f326(f326(f22(a872),x82372),x82373)))
% 149.08/148.76 [8238]~P103(f326(f326(f240(a872),x82383),x82381))+P103(f326(f326(f241(a872),x82381),x82382))+~P103(f326(f326(f240(a872),x82383),x82382))+~P103(f326(f326(f241(a872),f326(f326(f22(a872),x82381),x82383)),f326(f326(f22(a872),x82382),x82383)))
% 149.08/148.76 [8254]~P105(x82542)+E(x82541,f118(x82542))+~P28(x82542,f326(f165(x82542),x82541))+E(f326(f138(x82542,x82542,f326(f7(x82542,x82542,x82542),f239(x82542)),x82543),f326(f165(x82542),x82541)),f326(f326(f239(x82542),f326(f326(f161(x82542),x82541),f2(a872))),x82543))
% 149.08/148.76 [8320]E(f326(f326(f22(a1),x83201),x83202),x83201)+~P103(f326(f326(f241(a1),f2(a1)),x83202))+P103(f326(f326(f328(a1),f393(x83203,x83201,x83202)),x83203))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x83201),f79(a1))),x83203))
% 149.08/148.76 [8321]E(f326(f326(f81(a1),x83211),x83212),x83211)+~P103(f326(f326(f241(a1),f2(a1)),x83212))+P103(f326(f326(f328(a1),f403(x83213,x83211,x83212)),x83213))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x83211),f79(a1))),x83213))
% 149.08/148.76 [8397]~P103(f326(f326(f240(a1),x83971),f326(x83972,x83973)))+P103(f326(f326(f241(a872),f449(x83971,x83972,x83973)),x83973))+P103(f326(f326(f240(a872),f448(x83971,x83972,x83973)),x83973))+~P103(f326(f326(f240(a1),f326(x83972,f2(a872))),x83971))
% 149.08/148.76 [8398]~P103(f326(f326(f240(a1),x83981),f326(x83982,x83983)))+P103(f326(f326(f241(a872),f452(x83981,x83982,x83983)),x83983))+P103(f326(f326(f240(a872),f451(x83981,x83982,x83983)),x83983))+~P103(f326(f326(f240(a1),f326(x83982,f2(a872))),x83981))
% 149.08/148.76 [8477]E(f326(f326(f22(a1),x84771),x84772),x84771)+~P103(f326(f326(f241(a1),f2(a1)),x84772))+P103(f326(f326(f328(a1),f394(x84773,x84771,x84772)),f297(a1,f79(a1),x84772)))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x84771),f79(a1))),x84773))
% 149.08/148.76 [8478]E(f326(f326(f81(a1),x84781),x84782),x84781)+~P103(f326(f326(f241(a1),f2(a1)),x84782))+P103(f326(f326(f328(a1),f401(x84783,x84781,x84782)),f297(a1,f79(a1),x84782)))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x84781),f79(a1))),x84783))
% 149.08/148.76 [8607]~P108(x86071)+~P103(f326(f326(f241(x86071),x86072),f79(x86071)))+~P103(f326(f326(f241(x86071),f2(x86071)),x86072))+P103(f326(f326(f241(x86071),f326(f326(f82(x86071),x86072),f326(f326(f251(x86071),x86072),x86073))),f326(f326(f251(x86071),x86072),x86073)))
% 149.08/148.76 [8690]~P103(f326(x86901,x86902))+P103(f326(x86901,f2(a872)))+~P103(f326(f326(f241(a872),x86902),x86903))+~P103(f326(x86901,f45(a872,f326(a117,f504(x86902,x86901,x86903)),x86903)))
% 149.08/148.76 [8830]E(f531(x88301,x88302,x88303),f2(a872))+P103(f326(f326(x88301,x88303),x88302))+P103(f326(f326(x88301,f531(x88301,x88302,x88303)),f45(a872,f530(x88301,x88302,x88303),f531(x88301,x88302,x88303))))+~P103(f326(f314(f879(a872,a872),a224),f326(f326(f261(a872,a872),x88303),x88302)))
% 149.08/148.76 [8868]~P21(x88681,x88681,x88682,x88683)+E(f326(f305(x88681,x88681,x88682),x88683),x88683)+~P103(f326(f62(x88681),x88683))+~P103(f326(f326(f240(f880(x88681,a866)),f326(f305(x88681,x88681,x88682),x88683)),x88683))
% 149.08/148.76 [9108]P103(f326(f326(x91081,x91082),x91083))+~P103(f326(f326(f241(a1),f529(x91081,x91083,x91082)),f2(a1)))+P103(f326(f326(x91081,f326(f80(a1),f525(x91081,x91083,x91082))),f326(f80(a1),f529(x91081,x91083,x91082))))+~P103(f326(f314(f879(a1,a1),a229),f326(f326(f261(a1,a1),x91082),x91083)))
% 149.08/148.76 [9295]P103(f326(f326(x92951,x92952),x92953))+P103(f326(f326(x92951,f326(f326(f81(a1),f695(x92951,x92953,x92952)),f79(a1))),f698(x92951,x92953,x92952)))+~P103(f326(f326(f240(a1),f695(x92951,x92953,x92952)),f698(x92951,x92953,x92952)))+~P103(f326(f314(f879(a1,a1),a179),f326(f326(f261(a1,a1),x92952),x92953)))
% 149.08/148.76 [9719]~P58(x97192)+~P58(x97191)+~P103(f326(f59(f879(x97191,x97192)),x97193))+P103(f326(f59(x97191),f326(f326(f8(f880(x97192,a866),a866,x97191),f59(x97192)),f326(f326(f8(f880(x97192,f879(x97191,x97192)),f880(x97192,a866),x97191),f326(f8(f879(x97191,x97192),a866,x97192),x97193)),f261(x97191,x97192)))))
% 149.08/148.76 [9720]~P58(x97202)+~P58(x97201)+~P103(f326(f58(f879(x97201,x97202)),x97203))+P103(f326(f58(x97201),f326(f326(f8(f880(x97202,a866),a866,x97201),f58(x97202)),f326(f326(f8(f880(x97202,f879(x97201,x97202)),f880(x97202,a866),x97201),f326(f8(f879(x97201,x97202),a866,x97202),x97203)),f261(x97201,x97202)))))
% 149.08/148.76 [9822]~P58(x98222)+~P58(x98221)+P103(f326(f59(f879(x98221,x98222)),x98223))+~P103(f326(f59(x98221),f326(f326(f8(f880(x98222,a866),a866,x98221),f59(x98222)),f326(f326(f8(f880(x98222,f879(x98221,x98222)),f880(x98222,a866),x98221),f326(f8(f879(x98221,x98222),a866,x98222),x98223)),f261(x98221,x98222)))))
% 149.08/148.76 [9823]~P58(x98232)+~P58(x98231)+P103(f326(f58(f879(x98231,x98232)),x98233))+~P103(f326(f58(x98231),f326(f326(f8(f880(x98232,a866),a866,x98231),f58(x98232)),f326(f326(f8(f880(x98232,f879(x98231,x98232)),f880(x98232,a866),x98231),f326(f8(f879(x98231,x98232),a866,x98232),x98233)),f261(x98231,x98232)))))
% 149.08/148.76 [9992]E(f326(x99921,f448(x99922,x99921,x99923)),x99922)+~P103(f326(f326(f240(a1),x99922),f326(x99921,x99923)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x99921,f326(f326(f81(a872),f449(x99922,x99921,x99923)),f79(a872)))),f326(x99921,f449(x99922,x99921,x99923))))),f79(a1)))+~P103(f326(f326(f240(a1),f326(x99921,f2(a872))),x99922))
% 149.08/148.76 [9993]E(f326(x99931,f451(x99932,x99931,x99933)),x99932)+~P103(f326(f326(f240(a1),x99932),f326(x99931,x99933)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x99931,f326(f326(f81(a872),f452(x99932,x99931,x99933)),f79(a872)))),f326(x99931,f452(x99932,x99931,x99933))))),f79(a1)))+~P103(f326(f326(f240(a1),f326(x99931,f2(a872))),x99932))
% 149.08/148.76 [9997]~P103(f326(f326(f240(a1),x99971),f326(x99972,x99973)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x99972,f326(f326(f81(a872),f449(x99971,x99972,x99973)),f79(a872)))),f326(x99972,f449(x99971,x99972,x99973))))),f79(a1)))+P103(f326(f326(f240(a872),f448(x99971,x99972,x99973)),x99973))+~P103(f326(f326(f240(a1),f326(x99972,f2(a872))),x99971))
% 149.08/148.76 [9998]~P103(f326(f326(f240(a1),x99981),f326(x99982,x99983)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x99982,f326(f326(f81(a872),f452(x99981,x99982,x99983)),f79(a872)))),f326(x99982,f452(x99981,x99982,x99983))))),f79(a1)))+P103(f326(f326(f240(a872),f451(x99981,x99982,x99983)),x99983))+~P103(f326(f326(f240(a1),f326(x99982,f2(a872))),x99981))
% 149.08/148.76 [10053]E(x100531,x100532)+~E(f326(f138(f873(x100533),f873(x100533),f126(x100533),f118(x100533)),x100531),f326(f138(f873(x100533),f873(x100533),f126(x100533),f118(x100533)),x100532))+~E(f326(f191(f873(f873(x100533))),x100531),f326(f191(f873(f873(x100533))),x100532))+~P103(f326(f326(f265(f873(x100533),f873(x100533),a866),f326(f326(f7(f873(x100533),f880(f873(x100533),a872),f880(f873(x100533),a866)),f326(f326(f8(f880(a872,a866),f880(f880(f873(x100533),a872),f880(f873(x100533),a866)),f873(x100533)),f8(a872,a866,f873(x100533))),f326(f326(f8(a872,f880(a872,a866),f873(x100533)),a323),f191(f873(x100533))))),f191(f873(x100533)))),f739(x100532,x100531,x100533)))
% 149.08/148.76 [10054]E(x100541,x100542)+~E(f326(f138(f873(x100543),f873(x100543),f126(x100543),f118(x100543)),x100541),f326(f138(f873(x100543),f873(x100543),f126(x100543),f118(x100543)),x100542))+~E(f326(f191(f873(f873(x100543))),x100541),f326(f191(f873(f873(x100543))),x100542))+~P103(f326(f326(f265(f873(x100543),f873(x100543),a866),f326(f326(f7(f873(x100543),f880(f873(x100543),a872),f880(f873(x100543),a866)),f326(f326(f8(f880(a872,a866),f880(f880(f873(x100543),a872),f880(f873(x100543),a866)),f873(x100543)),f8(a872,a866,f873(x100543))),f326(f326(f8(a872,f880(a872,a866),f873(x100543)),a323),f191(f873(x100543))))),f191(f873(x100543)))),f740(x100541,x100542,x100543)))
% 149.08/148.76 [6781]~E(f79(a872),f2(a872))+~P103(f326(f62(x67811),x67813))+~P103(f326(f62(x67811),x67812))+E(f326(f326(f81(a872),f326(f38(x67811),x67812)),f326(f38(x67811),x67813)),f326(f38(x67811),f326(f326(f115(f880(x67811,a866)),x67812),x67813)))
% 149.08/148.76 [7195]~P100(x71951)+~P103(f326(f62(x71951),x71952))+~P103(f326(f326(f328(x71951),x71953),x71952))+P103(f326(f326(f240(x71951),f326(f64(x71951,f106(x71951)),x71952)),x71953))
% 149.08/148.76 [7196]~P105(x71961)+~P103(f326(f62(x71961),x71962))+~P103(f326(f326(f328(x71961),x71963),x71962))+P103(f326(f326(f240(x71961),f326(f64(x71961,f238(x71961)),x71962)),x71963))
% 149.08/148.76 [7448]~P103(f326(f62(x74481),x74483))+~P103(f326(f62(x74481),x74482))+~E(f326(f326(f106(f880(x74481,a866)),x74482),x74483),f190(f880(x74481,a866)))+E(f326(f326(f81(a872),f326(f38(x74481),x74482)),f326(f38(x74481),x74483)),f326(f38(x74481),f326(f326(f115(f880(x74481,a866)),x74482),x74483)))
% 149.08/148.76 [8243]~P37(x82431,x82433)+~P37(x82431,x82432)+~E(f326(f326(f106(f880(x82431,a866)),f326(f259(x82431,x82431),x82432)),f326(f257(x82431,x82431),x82433)),f190(f880(x82431,a866)))+P37(x82431,f326(f326(f115(f880(f879(x82431,x82431),a866)),x82432),x82433))
% 149.08/148.76 [8335]E(x83351,f326(f326(f39(a872),x83352),x83353))+~P103(f326(f326(f241(a872),f2(a872)),x83353))+~P103(f326(f326(f241(a872),x83352),f326(f326(f82(a872),x83353),f326(a117,x83351))))+~P103(f326(f326(f240(a872),f326(f326(f82(a872),x83353),x83351)),x83352))
% 149.08/148.76 [8475]~P103(f326(f62(x84751),x84752))+~P103(f326(f62(x84751),x84753))+E(f326(f326(f81(a872),f326(f38(x84751),x84752)),f326(f38(x84751),x84753)),f326(f38(x84751),f326(f326(f115(f880(x84751,a866)),x84752),x84753)))+P103(f326(f326(f328(x84751),f859(x84753,x84752,x84751)),f326(f326(f106(f880(x84751,a866)),x84752),x84753)))
% 149.08/148.76 [8842]~P122(x88422)+~E(x88421,f2(x88422))+~E(x88423,f2(x88422))+~P103(f326(f326(f241(x88422),f2(x88422)),f326(f326(f81(x88422),f326(f326(f82(x88422),x88423),x88423)),f326(f326(f82(x88422),x88421),x88421))))
% 149.08/148.76 [9375]~P37(x93751,x93753)+~P37(x93751,x93752)+P37(x93751,f326(f326(f115(f880(f879(x93751,x93751),a866)),x93752),x93753))+~P103(f326(f326(f240(f880(f879(x93751,x93751),a866)),f326(f326(f283(x93751,x93751,x93751),x93752),x93753)),x93752))
% 149.08/148.76 [9500]~P103(f326(x95001,x95003))+~P103(f326(f62(x95002),x95003))+P103(f326(x95001,f190(f880(x95002,a866))))+~P103(f326(x95001,f326(f326(f22(f880(x95002,a866)),f544(x95001,x95003,x95002)),f326(f326(f304(x95002),f541(x95001,x95003,x95002)),f190(f880(x95002,a866))))))
% 149.08/148.76 [9749]~P58(x97491)+~P58(x97492)+P8(x97491,f326(f326(f8(f880(x97492,x97491),a866,f873(x97491)),x97493),f326(f326(f8(f880(x97492,f876(x97491)),f880(x97492,x97491),f873(x97491)),f74(f876(x97491),x97491,x97492,f237(x97491))),f326(f326(f8(f873(f879(x97492,x97491)),f880(x97492,f876(x97491)),f873(x97491)),f174(x97492,x97491)),f326(f178(x97492,x97491),f56(x97492))))),f326(f191(f873(x97492)),f56(x97492)))+~P103(f326(f59(f880(x97492,x97491)),x97493))
% 149.08/148.76 [9750]~P58(x97501)+~P58(x97502)+P7(x97501,f326(f326(f8(f880(x97502,x97501),a866,f873(x97501)),x97503),f326(f326(f8(f880(x97502,f876(x97501)),f880(x97502,x97501),f873(x97501)),f74(f876(x97501),x97501,x97502,f237(x97501))),f326(f326(f8(f873(f879(x97502,x97501)),f880(x97502,f876(x97501)),f873(x97501)),f174(x97502,x97501)),f326(f178(x97502,x97501),f56(x97502))))),f326(f191(f873(x97502)),f56(x97502)))+~P103(f326(f58(f880(x97502,x97501)),x97503))
% 149.08/148.76 [9846]~P58(x98461)+~P58(x98462)+~P8(x98462,f326(f326(f8(f880(x98461,x98462),a866,f873(x98462)),x98463),f326(f326(f8(f880(x98461,f876(x98462)),f880(x98461,x98462),f873(x98462)),f74(f876(x98462),x98462,x98461,f237(x98462))),f326(f326(f8(f873(f879(x98461,x98462)),f880(x98461,f876(x98462)),f873(x98462)),f174(x98461,x98462)),f326(f178(x98461,x98462),f56(x98461))))),f326(f191(f873(x98461)),f56(x98461)))+P103(f326(f59(f880(x98461,x98462)),x98463))
% 149.08/148.76 [9847]~P58(x98471)+~P58(x98472)+~P7(x98472,f326(f326(f8(f880(x98471,x98472),a866,f873(x98472)),x98473),f326(f326(f8(f880(x98471,f876(x98472)),f880(x98471,x98472),f873(x98472)),f74(f876(x98472),x98472,x98471,f237(x98472))),f326(f326(f8(f873(f879(x98471,x98472)),f880(x98471,f876(x98472)),f873(x98472)),f174(x98471,x98472)),f326(f178(x98471,x98472),f56(x98471))))),f326(f191(f873(x98471)),f56(x98471)))+P103(f326(f58(f880(x98471,x98472)),x98473))
% 149.08/148.76 [8642]~P103(f326(f326(f241(a1),f2(a1)),x86423))+P103(f326(f326(f240(a1),f2(a1)),x86421))+~P103(f326(f326(f241(a1),x86422),x86423))+~P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),f326(f326(f82(a1),x86423),x86421)),x86422)))
% 149.08/148.76 [8664]~P76(x86641)+~P103(f326(f62(x86641),x86642))+E(f326(f326(f22(f880(x86641,a866)),x86642),f326(f326(f304(x86641),x86643),f190(f880(x86641,a866)))),f190(f880(x86641,a866)))+E(f326(f326(f115(x86641),x86643),f10(x86641,f326(f326(f22(f880(x86641,a866)),x86642),f326(f326(f304(x86641),x86643),f190(f880(x86641,a866)))))),f10(x86641,f326(f326(f304(x86641),x86643),x86642)))
% 149.08/148.76 [8665]~P76(x86651)+~P103(f326(f62(x86651),x86652))+E(f326(f326(f22(f880(x86651,a866)),x86652),f326(f326(f304(x86651),x86653),f190(f880(x86651,a866)))),f190(f880(x86651,a866)))+E(f326(f326(f106(x86651),x86653),f11(x86651,f326(f326(f22(f880(x86651,a866)),x86652),f326(f326(f304(x86651),x86653),f190(f880(x86651,a866)))))),f11(x86651,f326(f326(f304(x86651),x86653),x86652)))
% 149.08/148.76 [8666]~P105(x86661)+~P103(f326(f62(x86661),x86662))+E(f326(f326(f22(f880(x86661,a866)),x86662),f326(f326(f304(x86661),x86663),f190(f880(x86661,a866)))),f190(f880(x86661,a866)))+E(f326(f326(f238(x86661),x86663),f14(x86661,f326(f326(f22(f880(x86661,a866)),x86662),f326(f326(f304(x86661),x86663),f190(f880(x86661,a866)))))),f14(x86661,f326(f326(f304(x86661),x86663),x86662)))
% 149.08/148.76 [8667]~P105(x86671)+~P103(f326(f62(x86671),x86672))+E(f326(f326(f22(f880(x86671,a866)),x86672),f326(f326(f304(x86671),x86673),f190(f880(x86671,a866)))),f190(f880(x86671,a866)))+E(f326(f326(f239(x86671),x86673),f15(x86671,f326(f326(f22(f880(x86671,a866)),x86672),f326(f326(f304(x86671),x86673),f190(f880(x86671,a866)))))),f15(x86671,f326(f326(f304(x86671),x86673),x86672)))
% 149.08/148.76 [8731]~P105(x87311)+~P103(f326(f62(x87311),x87312))+E(f326(f326(f22(f880(x87311,a866)),x87312),f326(f326(f304(x87311),x87313),f190(f880(x87311,a866)))),f190(f880(x87311,a866)))+E(f326(f326(f239(x87311),x87313),f12(x87311,f239(x87311),f326(f326(f22(f880(x87311,a866)),x87312),f326(f326(f304(x87311),x87313),f190(f880(x87311,a866)))))),f12(x87311,f239(x87311),f326(f326(f304(x87311),x87313),x87312)))
% 149.08/148.76 [8732]~P105(x87321)+~P103(f326(f62(x87321),x87322))+E(f326(f326(f22(f880(x87321,a866)),x87322),f326(f326(f304(x87321),x87323),f190(f880(x87321,a866)))),f190(f880(x87321,a866)))+E(f326(f326(f238(x87321),x87323),f13(x87321,f238(x87321),f326(f326(f22(f880(x87321,a866)),x87322),f326(f326(f304(x87321),x87323),f190(f880(x87321,a866)))))),f13(x87321,f238(x87321),f326(f326(f304(x87321),x87323),x87322)))
% 149.08/148.76 [9315]E(x93151,x93152)+~E(f326(f138(f873(x93153),f873(x93153),f126(x93153),f118(x93153)),x93151),f326(f138(f873(x93153),f873(x93153),f126(x93153),f118(x93153)),x93152))+~E(f326(f191(f873(f873(x93153))),x93151),f326(f191(f873(f873(x93153))),x93152))+P103(f326(f326(f328(f879(f873(x93153),f873(x93153))),f739(x93152,x93151,x93153)),f326(f168(f879(f873(x93153),f873(x93153))),f326(f326(f178(f873(x93153),f873(x93153)),x93151),x93152))))
% 149.08/148.76 [9316]E(x93161,x93162)+~E(f326(f138(f873(x93163),f873(x93163),f126(x93163),f118(x93163)),x93161),f326(f138(f873(x93163),f873(x93163),f126(x93163),f118(x93163)),x93162))+~E(f326(f191(f873(f873(x93163))),x93161),f326(f191(f873(f873(x93163))),x93162))+P103(f326(f326(f328(f879(f873(x93163),f873(x93163))),f740(x93161,x93162,x93163)),f326(f168(f879(f873(x93163),f873(x93163))),f326(f326(f178(f873(x93163),f873(x93163)),x93162),x93161))))
% 149.08/148.76 [10138]~P98(x101382)+E(x101381,f190(f880(x101382,a866)))+~P103(f326(f62(x101382),x101381))+E(f11(x101382,f326(f246(x101382),f326(f326(f8(f880(x101382,a866),a866,x101382),f88(x101382)),f326(f326(f7(x101382,f880(x101382,a866),f880(x101382,a866)),f326(f326(f8(f880(x101382,f880(a866,a866)),f880(f880(x101382,a866),f880(x101382,a866)),x101382),f18(x101382,a866,a866)),f326(f326(f8(f880(x101382,a866),f880(x101382,f880(a866,a866)),x101382),f326(f8(a866,f880(a866,a866),x101382),a324)),f326(f326(f7(x101382,f880(x101382,x101382),f880(x101382,a866)),f326(f326(f8(f880(x101382,a866),f880(f880(x101382,x101382),f880(x101382,a866)),x101382),f8(x101382,a866,x101382)),a323)),f326(f115(x101382),x101383))))),f326(f326(f7(x101382,f880(x101382,a866),a866),f328(x101382)),x101381))))),f326(f326(f115(x101382),x101383),f11(x101382,x101381)))
% 149.08/148.76 [10139]~P75(x101392)+E(x101391,f190(f880(x101392,a866)))+~P103(f326(f62(x101392),x101391))+E(f14(x101392,f326(f246(x101392),f326(f326(f8(f880(x101392,a866),a866,x101392),f88(x101392)),f326(f326(f7(x101392,f880(x101392,a866),f880(x101392,a866)),f326(f326(f8(f880(x101392,f880(a866,a866)),f880(f880(x101392,a866),f880(x101392,a866)),x101392),f18(x101392,a866,a866)),f326(f326(f8(f880(x101392,a866),f880(x101392,f880(a866,a866)),x101392),f326(f8(a866,f880(a866,a866),x101392),a324)),f326(f326(f7(x101392,f880(x101392,x101392),f880(x101392,a866)),f326(f326(f8(f880(x101392,a866),f880(f880(x101392,x101392),f880(x101392,a866)),x101392),f8(x101392,a866,x101392)),a323)),f326(f81(x101392),x101393))))),f326(f326(f7(x101392,f880(x101392,a866),a866),f328(x101392)),x101391))))),f326(f326(f81(x101392),x101393),f14(x101392,x101391)))
% 149.08/148.76 [10140]~P75(x101402)+E(x101401,f190(f880(x101402,a866)))+~P103(f326(f62(x101402),x101401))+E(f15(x101402,f326(f246(x101402),f326(f326(f8(f880(x101402,a866),a866,x101402),f88(x101402)),f326(f326(f7(x101402,f880(x101402,a866),f880(x101402,a866)),f326(f326(f8(f880(x101402,f880(a866,a866)),f880(f880(x101402,a866),f880(x101402,a866)),x101402),f18(x101402,a866,a866)),f326(f326(f8(f880(x101402,a866),f880(x101402,f880(a866,a866)),x101402),f326(f8(a866,f880(a866,a866),x101402),a324)),f326(f326(f7(x101402,f880(x101402,x101402),f880(x101402,a866)),f326(f326(f8(f880(x101402,a866),f880(f880(x101402,x101402),f880(x101402,a866)),x101402),f8(x101402,a866,x101402)),a323)),f326(f81(x101402),x101403))))),f326(f326(f7(x101402,f880(x101402,a866),a866),f328(x101402)),x101401))))),f326(f326(f81(x101402),x101403),f15(x101402,x101401)))
% 149.08/148.76 [10141]~P98(x101412)+E(x101411,f190(f880(x101412,a866)))+~P103(f326(f62(x101412),x101411))+E(f10(x101412,f326(f246(x101412),f326(f326(f8(f880(x101412,a866),a866,x101412),f88(x101412)),f326(f326(f7(x101412,f880(x101412,a866),f880(x101412,a866)),f326(f326(f8(f880(x101412,f880(a866,a866)),f880(f880(x101412,a866),f880(x101412,a866)),x101412),f18(x101412,a866,a866)),f326(f326(f8(f880(x101412,a866),f880(x101412,f880(a866,a866)),x101412),f326(f8(a866,f880(a866,a866),x101412),a324)),f326(f326(f7(x101412,f880(x101412,x101412),f880(x101412,a866)),f326(f326(f8(f880(x101412,a866),f880(f880(x101412,x101412),f880(x101412,a866)),x101412),f8(x101412,a866,x101412)),a323)),f326(f106(x101412),x101413))))),f326(f326(f7(x101412,f880(x101412,a866),a866),f328(x101412)),x101411))))),f326(f326(f106(x101412),x101413),f10(x101412,x101411)))
% 149.08/148.76 [10142]~P105(x101422)+E(x101421,f190(f880(x101422,a866)))+~P103(f326(f62(x101422),x101421))+E(f12(x101422,f239(x101422),f326(f246(x101422),f326(f326(f8(f880(x101422,a866),a866,x101422),f88(x101422)),f326(f326(f7(x101422,f880(x101422,a866),f880(x101422,a866)),f326(f326(f8(f880(x101422,f880(a866,a866)),f880(f880(x101422,a866),f880(x101422,a866)),x101422),f18(x101422,a866,a866)),f326(f326(f8(f880(x101422,a866),f880(x101422,f880(a866,a866)),x101422),f326(f8(a866,f880(a866,a866),x101422),a324)),f326(f326(f7(x101422,f880(x101422,x101422),f880(x101422,a866)),f326(f326(f8(f880(x101422,a866),f880(f880(x101422,x101422),f880(x101422,a866)),x101422),f8(x101422,a866,x101422)),a323)),f326(f238(x101422),x101423))))),f326(f326(f7(x101422,f880(x101422,a866),a866),f328(x101422)),x101421))))),f326(f326(f238(x101422),x101423),f12(x101422,f239(x101422),x101421)))
% 149.08/148.76 [10143]~P105(x101432)+E(x101431,f190(f880(x101432,a866)))+~P103(f326(f62(x101432),x101431))+E(f13(x101432,f238(x101432),f326(f246(x101432),f326(f326(f8(f880(x101432,a866),a866,x101432),f88(x101432)),f326(f326(f7(x101432,f880(x101432,a866),f880(x101432,a866)),f326(f326(f8(f880(x101432,f880(a866,a866)),f880(f880(x101432,a866),f880(x101432,a866)),x101432),f18(x101432,a866,a866)),f326(f326(f8(f880(x101432,a866),f880(x101432,f880(a866,a866)),x101432),f326(f8(a866,f880(a866,a866),x101432),a324)),f326(f326(f7(x101432,f880(x101432,x101432),f880(x101432,a866)),f326(f326(f8(f880(x101432,a866),f880(f880(x101432,x101432),f880(x101432,a866)),x101432),f8(x101432,a866,x101432)),a323)),f326(f239(x101432),x101433))))),f326(f326(f7(x101432,f880(x101432,a866),a866),f328(x101432)),x101431))))),f326(f326(f239(x101432),x101433),f13(x101432,f238(x101432),x101431)))
% 149.08/148.76 [9896]~P109(x98961)+~E(x98963,f2(x98961))+~E(x98962,f2(x98961))+E(f326(f326(f81(x98961),f326(f326(f251(x98961),x98962),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x98961),x98963),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f2(x98961))
% 149.08/148.76 [10037]~P108(x100371)+~P103(f326(f326(f240(x100371),f2(x100371)),x100373))+P103(f326(f326(f240(x100371),x100372),x100373))+~P103(f326(f326(f240(x100371),f326(f326(f251(x100371),x100372),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100371),x100373),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))))
% 149.08/148.76 [10084]~P109(x100842)+~E(x100841,f2(x100842))+~E(x100843,f2(x100842))+~P103(f326(f326(f241(x100842),f2(x100842)),f326(f326(f81(x100842),f326(f326(f251(x100842),x100843),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102))))),f326(f326(f251(x100842),x100841),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))))
% 149.08/148.76 [9277]E(x92771,x92772)+~E(f716(x92771,x92772,x92774,x92773),f718(x92771,x92772,x92774,x92773))+P103(f326(f326(f328(f879(f873(x92773),f873(x92773))),f326(f326(f261(f873(x92773),f873(x92773)),x92772),x92771)),f143(x92773,x92774)))+P103(f326(f326(f328(f879(f873(x92773),f873(x92773))),f326(f326(f261(f873(x92773),f873(x92773)),x92771),x92772)),f143(x92773,x92774)))
% 149.08/148.76 [4836]~P59(x48362)+~E(x48364,f2(x48362))+~E(x48361,f2(x48362))+E(x48361,f326(f326(f284(x48362),x48363),x48364))
% 149.08/148.76 [4837]~P59(x48371)+~E(x48373,f2(x48371))+~E(x48374,f2(x48371))+E(f326(f326(f284(x48371),x48372),x48373),x48374)
% 149.08/148.76 [4947]~P59(x49472)+E(x49471,f2(x49472))+~E(x49473,f2(x49472))+~E(x49471,f326(f326(f284(x49472),x49474),x49473))
% 149.08/148.76 [4948]~P59(x49482)+E(x49481,f2(x49482))+~E(x49483,f2(x49482))+~E(f326(f326(f284(x49482),x49484),x49483),x49481)
% 149.08/148.76 [5123]~P118(x51232)+E(x51231,f2(x51232))+~E(f326(f326(f284(x51232),x51233),x51231),x51234)+E(x51233,f326(f326(f82(x51232),x51234),x51231))
% 149.08/148.76 [5125]~P118(x51252)+E(x51251,f2(x51252))+~E(f326(f326(f82(x51252),x51253),x51251),x51254)+E(x51253,f326(f326(f284(x51252),x51254),x51251))
% 149.08/148.76 [5126]~P59(x51262)+E(x51261,f2(x51262))+~E(f326(f326(f284(x51262),x51263),x51261),x51264)+E(x51263,f326(f326(f82(x51262),x51264),x51261))
% 149.08/148.76 [5127]~P59(x51272)+E(x51271,f2(x51272))+~E(f326(f326(f82(x51272),x51273),x51271),x51274)+E(x51273,f326(f326(f284(x51272),x51274),x51271))
% 149.08/148.76 [5128]~P118(x51282)+E(x51281,f2(x51282))+~E(x51283,f326(f326(f284(x51282),x51284),x51281))+E(f326(f326(f82(x51282),x51283),x51281),x51284)
% 149.08/148.76 [5130]~P118(x51302)+E(x51301,f2(x51302))+~E(x51303,f326(f326(f82(x51302),x51304),x51301))+E(f326(f326(f284(x51302),x51303),x51301),x51304)
% 149.08/148.76 [5131]~P59(x51312)+E(x51311,f2(x51312))+~E(x51313,f326(f326(f284(x51312),x51314),x51311))+E(f326(f326(f82(x51312),x51313),x51311),x51314)
% 149.08/148.76 [5132]~P59(x51322)+E(x51321,f2(x51322))+~E(x51323,f326(f326(f82(x51322),x51324),x51321))+E(f326(f326(f284(x51322),x51323),x51321),x51324)
% 149.08/148.76 [5165]~P59(x51652)+~E(x51651,f2(x51652))+~E(f326(f326(f82(x51652),x51651),x51654),x51653)+E(x51651,f326(f326(f284(x51652),x51653),x51654))
% 149.08/148.76 [5166]~P59(x51661)+~E(x51664,f2(x51661))+~E(x51662,f326(f326(f82(x51661),x51664),x51663))+E(f326(f326(f284(x51661),x51662),x51663),x51664)
% 149.08/148.76 [5239]~E(x52393,x52394)+~E(x52392,x52393)+~P107(x52391)+E(f297(x52391,x52392,x52393),f326(f326(f304(x52391),x52394),f190(f880(x52391,a866))))
% 149.08/148.76 [5447]~E(f140(x54472,x54471),x54474)+~E(f119(x54472,x54471),x54473)+E(x54471,f118(x54472))+E(f326(f326(f126(x54472),x54473),f326(f326(f147(x54472),x54474),f118(x54472))),x54471)
% 149.08/148.76 [6063]~P108(x60633)+E(x60631,x60632)+~E(f326(f326(f251(x60633),x60634),x60631),f326(f326(f251(x60633),x60634),x60632))+~P103(f326(f326(f241(x60633),f79(x60633)),x60634))
% 149.08/148.76 [6064]E(x60641,x60642)+~E(f326(f326(f304(x60643),x60644),x60641),f326(f326(f304(x60643),x60644),x60642))+P103(f326(f326(f328(x60643),x60644),x60642))+P103(f326(f326(f328(x60643),x60644),x60641))
% 149.08/148.76 [6102]E(f326(x61021,x61022),f79(a872))+~E(f326(f326(f9(x61023,a872),x61021),x61024),f79(a872))+~P103(f326(f62(x61023),x61024))+~P103(f326(f326(f328(x61023),x61022),x61024))
% 149.08/148.76 [6103]E(f326(x61031,x61032),f2(a872))+~E(f326(f326(f6(x61033,a872),x61031),x61034),f2(a872))+~P103(f326(f62(x61033),x61034))+~P103(f326(f326(f328(x61033),x61032),x61034))
% 149.08/148.76 [6322]~P107(x63221)+~P103(f326(f326(f240(x63221),x63224),x63223))+P103(f326(f326(f240(x63221),x63222),x63223))+~P103(f326(f326(f240(x63221),x63222),x63224))
% 149.08/148.76 [6323]~P104(x63231)+~P103(f326(f326(f240(x63231),x63232),x63234))+P103(f326(f326(f240(x63231),x63232),x63233))+~P103(f326(f326(f240(x63231),x63234),x63233))
% 149.08/148.76 [6324]~P107(x63241)+~P103(f326(f326(f241(x63241),x63244),x63243))+P103(f326(f326(f241(x63241),x63242),x63243))+~P103(f326(f326(f240(x63241),x63242),x63244))
% 149.08/148.76 [6325]~P107(x63251)+~P103(f326(f326(f241(x63251),x63252),x63254))+P103(f326(f326(f241(x63251),x63252),x63253))+~P103(f326(f326(f240(x63251),x63254),x63253))
% 149.08/148.76 [6326]~P107(x63261)+~P103(f326(f326(f241(x63261),x63264),x63263))+P103(f326(f326(f241(x63261),x63262),x63263))+~P103(f326(f326(f241(x63261),x63262),x63264))
% 149.08/148.76 [6327]~P104(x63271)+~P103(f326(f326(f241(x63271),x63272),x63274))+P103(f326(f326(f241(x63271),x63272),x63273))+~P103(f326(f326(f240(x63271),x63274),x63273))
% 149.08/148.76 [6328]~P104(x63281)+~P103(f326(f326(f241(x63281),x63284),x63283))+P103(f326(f326(f241(x63281),x63282),x63283))+~P103(f326(f326(f240(x63281),x63282),x63284))
% 149.08/148.76 [6329]~P104(x63291)+~P103(f326(f326(f241(x63291),x63292),x63294))+P103(f326(f326(f241(x63291),x63292),x63293))+~P103(f326(f326(f241(x63291),x63294),x63293))
% 149.08/148.76 [6411]~P35(x64114,x64113,x64112)+E(x64111,f801(x64112,x64113,x64114))+~P103(f326(x64113,x64111))+~P103(f326(f326(f328(x64114),x64111),f326(f168(x64114),x64112)))
% 149.08/148.76 [6556]~P26(x65561)+~P103(f326(f326(f240(x65561),x65562),f41(x65561,x65564)))+P103(f326(f326(f240(x65561),x65562),x65563))+~P103(f326(f326(f328(x65561),x65563),x65564))
% 149.08/148.76 [6702]~P105(x67021)+~P28(x67021,f326(f326(f147(x67021),x67022),x67024))+~P103(f326(f326(f328(x67021),x67023),f326(f168(x67021),x67024)))+P103(f326(f326(f240(x67021),x67022),x67023))
% 149.08/148.76 [6792]~P26(x67921)+~P103(f326(f326(f240(x67921),f40(x67921,x67924)),x67923))+P103(f326(f326(f240(x67921),x67922),x67923))+~P103(f326(f326(f328(x67921),x67922),x67924))
% 149.08/148.76 [7198]~P105(x71981)+E(f326(f326(f115(f880(x71981,a866)),f326(f296(x71981,x71982),x71983)),f326(f296(x71981,x71983),x71984)),f326(f296(x71981,x71982),x71984))+~P103(f326(f326(f240(x71981),x71983),x71984))+~P103(f326(f326(f240(x71981),x71982),x71983))
% 149.08/148.76 [7235]P35(x72351,x72352,x72353)+~E(f806(x72353,x72352,x72351,x72354),x72354)+~P103(f326(x72352,x72354))+~P103(f326(f326(f328(x72351),x72354),f326(f168(x72351),x72353)))
% 149.08/148.76 [7309]~P105(x73091)+E(f326(f326(f115(f880(x73091,a866)),f326(f296(x73091,x73092),x73093)),f297(x73091,x73093,x73094)),f297(x73091,x73092,x73094))+~P103(f326(f326(f240(x73091),x73093),x73094))+~P103(f326(f326(f240(x73091),x73092),x73093))
% 149.08/148.76 [7375]~P105(x73751)+E(f326(f326(f115(f880(x73751,a866)),f300(x73751,x73752,x73753)),f326(f296(x73751,x73753),x73754)),f300(x73751,x73752,x73754))+~P103(f326(f326(f240(x73751),x73753),x73754))+~P103(f326(f326(f241(x73751),x73752),x73753))
% 149.08/148.76 [7395]~P105(x73951)+E(f326(f326(f115(f880(x73951,a866)),f297(x73951,x73952,x73953)),f300(x73951,x73953,x73954)),f326(f296(x73951,x73952),x73954))+~P103(f326(f326(f240(x73951),x73952),x73953))+~P103(f326(f326(f241(x73951),x73953),x73954))
% 149.08/148.76 [7427]~P105(x74271)+E(f326(f326(f115(f880(x74271,a866)),f297(x74271,x74272,x74273)),f299(x74271,x74273,x74274)),f297(x74271,x74272,x74274))+~P103(f326(f326(f240(x74271),x74273),x74274))+~P103(f326(f326(f240(x74271),x74272),x74273))
% 149.08/148.76 [7428]~P105(x74281)+E(f326(f326(f115(f880(x74281,a866)),f300(x74281,x74282,x74283)),f297(x74281,x74283,x74284)),f299(x74281,x74282,x74284))+~P103(f326(f326(f240(x74281),x74283),x74284))+~P103(f326(f326(f241(x74281),x74282),x74283))
% 149.08/148.76 [7429]~P105(x74291)+E(f326(f326(f115(f880(x74291,a866)),f299(x74291,x74292,x74293)),f300(x74291,x74293,x74294)),f300(x74291,x74292,x74294))+~P103(f326(f326(f240(x74291),x74292),x74293))+~P103(f326(f326(f241(x74291),x74293),x74294))
% 149.08/148.76 [7430]~P105(x74301)+E(f326(f326(f115(f880(x74301,a866)),f299(x74301,x74302,x74303)),f299(x74301,x74303,x74304)),f299(x74301,x74302,x74304))+~P103(f326(f326(f240(x74301),x74303),x74304))+~P103(f326(f326(f240(x74301),x74302),x74303))
% 149.08/148.76 [8227]P21(x82271,x82272,f559(x82273,x82272,x82274,x82271),x82274)+~P103(f326(f62(x82272),x82273))+~P103(f326(f62(x82271),x82274))+~P103(f326(f326(f240(a872),f326(f38(x82271),x82274)),f326(f38(x82272),x82273)))
% 149.08/148.76 [8248]P35(x82481,x82482,x82483)+~P103(f326(x82482,x82484))+P103(f326(x82482,f806(x82483,x82482,x82481,x82484)))+~P103(f326(f326(f328(x82481),x82484),f326(f168(x82481),x82483)))
% 149.08/148.76 [8299]~P73(x82991)+~E(f326(x82993,f503(x82993,x82994,x82992,x82991)),f79(x82991))+E(f326(f326(f326(f66(x82991,x82992,f82(x82991)),x82993),f79(x82991)),x82994),f79(x82991))+~P103(f326(f62(x82992),x82994))
% 149.08/148.76 [8574]~P108(x85741)+~P103(f326(f326(f240(x85741),f2(x85741)),x85743))+P103(f326(f326(f240(x85741),x85742),x85743))+~P103(f326(f326(f240(x85741),f326(f326(f251(x85741),x85742),f326(a117,x85744))),f326(f326(f251(x85741),x85743),f326(a117,x85744))))
% 149.08/148.76 [8869]P35(x88691,x88692,x88693)+~P103(f326(x88692,x88694))+~P103(f326(f326(f328(x88691),x88694),f326(f168(x88691),x88693)))+P103(f326(f326(f328(x88691),f806(x88693,x88692,x88691,x88694)),f326(f168(x88691),x88693)))
% 149.08/148.76 [8955]~P73(x89551)+E(f326(f326(f326(f66(x89551,x89552,f82(x89551)),x89553),f79(x89551)),x89554),f79(x89551))+~P103(f326(f62(x89552),x89554))+P103(f326(f326(f328(x89552),f503(x89553,x89554,x89552,x89551)),x89554))
% 149.08/148.76 [9441]~P103(f326(f326(f240(a1),x94414),f2(a1)))+P103(f326(f326(f240(a1),f326(f326(f81(a1),f326(f326(f82(a1),x94411),f45(a1,x94412,x94413))),x94414)),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x94413))+~P103(f326(f326(f241(a1),x94411),x94414))
% 149.08/148.76 [9889]~P103(f326(f62(x98891),x98892))+~P103(f326(f326(f328(x98891),x98894),x98892))+~P103(f326(f326(f328(x98891),x98893),x98892))+P103(f326(f326(f241(a872),f326(f38(x98891),f326(f326(f22(f880(x98891,a866)),f326(f326(f22(f880(x98891,a866)),x98892),f326(f326(f304(x98891),x98893),f190(f880(x98891,a866))))),f326(f326(f304(x98891),x98894),f190(f880(x98891,a866)))))),f326(f38(x98891),x98892)))
% 149.08/148.76 [6908]~P100(x69081)+~P103(f326(f326(f240(x69081),x69082),x69084))+~P103(f326(f326(f240(x69081),x69082),x69083))+P103(f326(f326(f240(x69081),x69082),f326(f326(f106(x69081),x69083),x69084)))
% 149.08/148.76 [6911]~P105(x69111)+~P103(f326(f326(f240(x69111),x69112),x69114))+~P103(f326(f326(f240(x69111),x69112),x69113))+P103(f326(f326(f240(x69111),x69112),f326(f326(f238(x69111),x69113),x69114)))
% 149.08/148.76 [6912]~P105(x69121)+~P103(f326(f326(f241(x69121),x69122),x69124))+~P103(f326(f326(f241(x69121),x69122),x69123))+P103(f326(f326(f241(x69121),x69122),f326(f326(f238(x69121),x69123),x69124)))
% 149.08/148.76 [6931]~P60(x69312)+E(x69311,f2(x69312))+E(f326(f326(f284(x69312),f326(f326(f251(x69312),x69311),x69313)),f326(f326(f251(x69312),x69311),x69314)),f326(f326(f251(x69312),x69311),f326(f326(f22(a872),x69313),x69314)))+~P103(f326(f326(f240(a872),x69314),x69313))
% 149.08/148.76 [6976]~P105(x69761)+~P28(x69761,f326(f326(f147(x69761),x69763),x69764))+P28(x69761,f326(f326(f147(x69761),x69762),f326(f326(f147(x69761),x69763),x69764)))+~P103(f326(f326(f240(x69761),x69762),x69763))
% 149.08/148.76 [7017]~P88(x70171)+~P103(f326(f326(f240(x70171),f2(x70171)),x70174))+~P103(f326(f326(f240(x70171),x70172),x70173))+P103(f326(f326(f240(x70171),x70172),f326(f326(f81(x70171),x70173),x70174)))
% 149.08/148.76 [7018]~P88(x70181)+~P103(f326(f326(f240(x70181),f2(x70181)),x70183))+~P103(f326(f326(f240(x70181),x70182),x70184))+P103(f326(f326(f240(x70181),x70182),f326(f326(f81(x70181),x70183),x70184)))
% 149.08/148.76 [7019]~P108(x70191)+~P103(f326(f326(f241(x70191),f2(x70191)),x70193))+~P103(f326(f326(f241(x70191),x70192),x70194))+P103(f326(f326(f241(x70191),x70192),f326(f326(f81(x70191),x70193),x70194)))
% 149.08/148.76 [7020]~P88(x70201)+~P103(f326(f326(f240(x70201),x70202),x70204))+~P103(f326(f326(f241(x70201),f2(x70201)),x70203))+P103(f326(f326(f241(x70201),x70202),f326(f326(f81(x70201),x70203),x70204)))
% 149.08/148.76 [7021]~P88(x70211)+~P103(f326(f326(f240(x70211),f2(x70211)),x70213))+~P103(f326(f326(f241(x70211),x70212),x70214))+P103(f326(f326(f241(x70211),x70212),f326(f326(f81(x70211),x70213),x70214)))
% 149.08/148.76 [7060]~P105(x70601)+P103(f326(f326(f240(x70601),x70602),x70603))+P103(f326(f326(f240(x70601),x70602),x70604))+~P103(f326(f326(f240(x70601),x70602),f326(f326(f239(x70601),x70604),x70603)))
% 149.08/148.76 [7061]~P105(x70611)+P103(f326(f326(f241(x70611),x70612),x70613))+P103(f326(f326(f241(x70611),x70612),x70614))+~P103(f326(f326(f241(x70611),x70612),f326(f326(f239(x70611),x70614),x70613)))
% 149.08/148.76 [7348]~P107(x73482)+~P58(x73481)+~P103(f326(f326(f241(f880(x73481,x73482)),x73483),x73484))+P103(f326(f326(f240(f880(x73481,x73482)),x73483),x73484))
% 149.08/148.76 [7717]~P62(x77171)+~P103(f326(f326(f241(x77171),x77174),f2(x77171)))+~P103(f326(f326(f240(x77171),x77173),f326(f326(f284(x77171),x77172),x77174)))+P103(f326(f326(f240(x77171),x77172),f326(f326(f82(x77171),x77173),x77174)))
% 149.08/148.76 [7718]~P62(x77181)+~P103(f326(f326(f241(x77181),x77184),f2(x77181)))+~P103(f326(f326(f240(x77181),x77183),f326(f326(f82(x77181),x77182),x77184)))+P103(f326(f326(f240(x77181),x77182),f326(f326(f284(x77181),x77183),x77184)))
% 149.08/148.76 [7719]~P62(x77191)+~P103(f326(f326(f241(x77191),x77194),f2(x77191)))+~P103(f326(f326(f241(x77191),x77193),f326(f326(f284(x77191),x77192),x77194)))+P103(f326(f326(f241(x77191),x77192),f326(f326(f82(x77191),x77193),x77194)))
% 149.08/148.76 [7720]~P62(x77201)+~P103(f326(f326(f241(x77201),x77204),f2(x77201)))+~P103(f326(f326(f241(x77201),x77203),f326(f326(f82(x77201),x77202),x77204)))+P103(f326(f326(f241(x77201),x77202),f326(f326(f284(x77201),x77203),x77204)))
% 149.08/148.76 [7825]~P122(x78251)+~P103(f326(f326(f241(x78251),x78252),f2(x78251)))+~P103(f326(f326(f240(x78251),x78254),x78253))+P103(f326(f326(f240(x78251),f326(f326(f82(x78251),x78252),x78253)),f326(f326(f82(x78251),x78252),x78254)))
% 149.08/148.76 [7826]~P131(x78261)+~P103(f326(f326(f240(x78261),x78262),f2(x78261)))+~P103(f326(f326(f240(x78261),x78264),x78263))+P103(f326(f326(f240(x78261),f326(f326(f82(x78261),x78262),x78263)),f326(f326(f82(x78261),x78262),x78264)))
% 149.08/148.76 [7827]~P131(x78271)+~P103(f326(f326(f240(x78271),x78273),f2(x78271)))+~P103(f326(f326(f240(x78271),x78274),x78272))+P103(f326(f326(f240(x78271),f326(f326(f82(x78271),x78272),x78273)),f326(f326(f82(x78271),x78274),x78273)))
% 149.08/148.76 [7828]~P61(x78281)+~P103(f326(f326(f240(x78281),x78283),f2(x78281)))+~P103(f326(f326(f240(x78281),x78284),x78282))+P103(f326(f326(f240(x78281),f326(f326(f284(x78281),x78282),x78283)),f326(f326(f284(x78281),x78284),x78283)))
% 149.08/148.76 [7832]~P122(x78321)+~P103(f326(f326(f241(x78321),x78323),f2(x78321)))+~P103(f326(f326(f241(x78321),x78324),x78322))+P103(f326(f326(f241(x78321),f326(f326(f82(x78321),x78322),x78323)),f326(f326(f82(x78321),x78324),x78323)))
% 149.08/148.76 [7833]~P122(x78331)+~P103(f326(f326(f241(x78331),x78332),f2(x78331)))+~P103(f326(f326(f241(x78331),x78334),x78333))+P103(f326(f326(f241(x78331),f326(f326(f82(x78331),x78332),x78333)),f326(f326(f82(x78331),x78332),x78334)))
% 149.08/148.76 [7834]~P62(x78341)+~P103(f326(f326(f241(x78341),x78343),f2(x78341)))+~P103(f326(f326(f241(x78341),x78344),x78342))+P103(f326(f326(f241(x78341),f326(f326(f284(x78341),x78342),x78343)),f326(f326(f284(x78341),x78344),x78343)))
% 149.08/148.76 [7835]~P108(x78351)+~P103(f326(f326(f241(x78351),f79(x78351)),x78352))+~P103(f326(f326(f240(a872),x78353),x78354))+P103(f326(f326(f240(x78351),f326(f326(f251(x78351),x78352),x78353)),f326(f326(f251(x78351),x78352),x78354)))
% 149.08/148.76 [7836]~P108(x78361)+~P103(f326(f326(f240(x78361),f79(x78361)),x78362))+~P103(f326(f326(f240(a872),x78363),x78364))+P103(f326(f326(f240(x78361),f326(f326(f251(x78361),x78362),x78363)),f326(f326(f251(x78361),x78362),x78364)))
% 149.08/148.76 [7838]~P108(x78381)+~P103(f326(f326(f241(x78381),f79(x78381)),x78382))+~P103(f326(f326(f241(a872),x78383),x78384))+P103(f326(f326(f241(x78381),f326(f326(f251(x78381),x78382),x78383)),f326(f326(f251(x78381),x78382),x78384)))
% 149.08/148.76 [7865]P103(f326(f326(f241(a872),f2(a872)),f326(x78651,x78652)))+~P103(f326(f62(x78653),x78654))+~P103(f326(f326(f328(x78653),x78652),x78654))+~P103(f326(f326(f241(a872),f2(a872)),f326(f326(f9(x78653,a872),x78651),x78654)))
% 149.08/148.76 [7874]~P122(x78741)+~P103(f326(f326(f241(x78741),f2(x78741)),x78742))+~P103(f326(f326(f240(x78741),x78743),x78744))+P103(f326(f326(f240(x78741),f326(f326(f82(x78741),x78742),x78743)),f326(f326(f82(x78741),x78742),x78744)))
% 149.08/148.76 [7875]~P133(x78751)+~P103(f326(f326(f240(x78751),x78753),x78754))+~P103(f326(f326(f240(x78751),f2(x78751)),x78752))+P103(f326(f326(f240(x78751),f326(f326(f82(x78751),x78752),x78753)),f326(f326(f82(x78751),x78752),x78754)))
% 149.08/148.76 [7876]~P132(x78761)+~P103(f326(f326(f240(x78761),x78763),x78764))+~P103(f326(f326(f240(x78761),f2(x78761)),x78762))+P103(f326(f326(f240(x78761),f326(f326(f82(x78761),x78762),x78763)),f326(f326(f82(x78761),x78762),x78764)))
% 149.08/148.76 [7877]~P133(x78771)+~P103(f326(f326(f240(x78771),x78772),x78774))+~P103(f326(f326(f240(x78771),f2(x78771)),x78773))+P103(f326(f326(f240(x78771),f326(f326(f82(x78771),x78772),x78773)),f326(f326(f82(x78771),x78774),x78773)))
% 149.08/148.76 [7878]~P108(x78781)+~P103(f326(f326(f240(x78781),x78782),x78784))+~P103(f326(f326(f240(x78781),f2(x78781)),x78782))+P103(f326(f326(f240(x78781),f326(f326(f251(x78781),x78782),x78783)),f326(f326(f251(x78781),x78784),x78783)))
% 149.08/148.76 [7879]~P61(x78791)+~P103(f326(f326(f240(x78791),x78792),x78794))+~P103(f326(f326(f240(x78791),f2(x78791)),x78793))+P103(f326(f326(f240(x78791),f326(f326(f284(x78791),x78792),x78793)),f326(f326(f284(x78791),x78794),x78793)))
% 149.08/148.76 [7881]~P126(x78811)+~P103(f326(f326(f241(x78811),x78813),x78814))+~P103(f326(f326(f241(x78811),f2(x78811)),x78812))+P103(f326(f326(f241(x78811),f326(f326(f82(x78811),x78812),x78813)),f326(f326(f82(x78811),x78812),x78814)))
% 149.08/148.76 [7882]~P116(x78821)+~P103(f326(f326(f241(x78821),x78823),x78824))+~P103(f326(f326(f241(x78821),f2(x78821)),x78822))+P103(f326(f326(f241(x78821),f326(f326(f82(x78821),x78822),x78823)),f326(f326(f82(x78821),x78822),x78824)))
% 149.08/148.76 [7883]~P122(x78831)+~P103(f326(f326(f241(x78831),x78832),x78834))+~P103(f326(f326(f241(x78831),f2(x78831)),x78833))+P103(f326(f326(f241(x78831),f326(f326(f82(x78831),x78832),x78833)),f326(f326(f82(x78831),x78834),x78833)))
% 149.08/148.76 [7884]~P126(x78841)+~P103(f326(f326(f241(x78841),x78842),x78844))+~P103(f326(f326(f241(x78841),f2(x78841)),x78843))+P103(f326(f326(f241(x78841),f326(f326(f82(x78841),x78842),x78843)),f326(f326(f82(x78841),x78844),x78843)))
% 149.08/148.76 [7885]~P122(x78851)+~P103(f326(f326(f241(x78851),x78853),x78854))+~P103(f326(f326(f241(x78851),f2(x78851)),x78852))+P103(f326(f326(f241(x78851),f326(f326(f82(x78851),x78852),x78853)),f326(f326(f82(x78851),x78852),x78854)))
% 149.08/148.76 [7886]~P62(x78861)+~P103(f326(f326(f241(x78861),x78862),x78864))+~P103(f326(f326(f241(x78861),f2(x78861)),x78863))+P103(f326(f326(f241(x78861),f326(f326(f284(x78861),x78862),x78863)),f326(f326(f284(x78861),x78864),x78863)))
% 149.08/148.76 [7929]~P106(x79292)+P103(f326(f326(f241(f880(x79291,x79292)),x79294),x79293))+~P103(f326(f326(f240(f880(x79291,x79292)),x79294),x79293))+P103(f326(f326(f240(f880(x79291,x79292)),x79293),x79294))
% 149.08/148.76 [7971]P103(f326(f326(f328(x79711),x79712),x79713))+P103(f326(f326(f328(x79711),x79712),x79714))+~P103(f326(f326(f240(f880(x79711,a866)),x79714),x79713))+P103(f326(f326(f241(f880(x79711,a866)),x79714),f326(f326(f304(x79711),x79712),x79713)))
% 149.08/148.76 [8132]P103(f326(f326(f328(x81321),x81322),x81323))+P103(f326(f326(f328(x81321),x81322),x81324))+~P103(f326(f326(f241(f880(x81321,a866)),x81324),f326(f326(f304(x81321),x81322),x81323)))+P103(f326(f326(f240(f880(x81321,a866)),x81324),x81323))
% 149.08/148.76 [8141]~P58(x81411)+P7(x81411,x81412,x81413)+~P103(f326(x81412,x81414))+~P103(f326(f326(f328(f873(x81411)),x81414),f326(f168(f873(x81411)),f55(x81411,x81413,f56(x81411)))))
% 149.08/148.76 [8151]~P8(x81513,x81511,x81514)+~P58(x81513)+P103(f326(x81511,x81512))+~P103(f326(f326(f328(f873(x81513)),x81512),f326(f168(f873(x81513)),f55(x81513,x81514,f56(x81513)))))
% 149.08/148.76 [8204]~P122(x82041)+P103(f326(f326(f241(x82041),x82043),x82042))+P103(f326(f326(f241(x82041),x82042),x82043))+~P103(f326(f326(f241(x82041),f326(f326(f82(x82041),x82044),x82042)),f326(f326(f82(x82041),x82044),x82043)))
% 149.08/148.76 [8205]~P122(x82051)+P103(f326(f326(f241(x82051),x82053),x82052))+P103(f326(f326(f241(x82051),x82052),x82053))+~P103(f326(f326(f241(x82051),f326(f326(f82(x82051),x82052),x82054)),f326(f326(f82(x82051),x82053),x82054)))
% 149.08/148.76 [8216]~P122(x82161)+P103(f326(f326(f241(x82161),x82164),f2(x82161)))+P103(f326(f326(f241(x82161),x82162),x82163))+~P103(f326(f326(f241(x82161),f326(f326(f82(x82161),x82162),x82164)),f326(f326(f82(x82161),x82163),x82164)))
% 149.08/148.76 [8217]~P122(x82171)+P103(f326(f326(f241(x82171),x82174),f2(x82171)))+P103(f326(f326(f241(x82171),x82172),x82173))+~P103(f326(f326(f241(x82171),f326(f326(f82(x82171),x82174),x82172)),f326(f326(f82(x82171),x82174),x82173)))
% 149.08/148.76 [8221]~P122(x82211)+P103(f326(f326(f241(x82211),x82212),x82213))+P103(f326(f326(f241(x82211),f2(x82211)),x82214))+~P103(f326(f326(f241(x82211),f326(f326(f82(x82211),x82214),x82213)),f326(f326(f82(x82211),x82214),x82212)))
% 149.08/148.76 [8222]~P122(x82221)+P103(f326(f326(f241(x82221),x82222),x82223))+P103(f326(f326(f241(x82221),f2(x82221)),x82224))+~P103(f326(f326(f241(x82221),f326(f326(f82(x82221),x82223),x82224)),f326(f326(f82(x82221),x82222),x82224)))
% 149.08/148.76 [8235]~P122(x82351)+P103(f326(f326(f241(x82351),x82352),f2(x82351)))+P103(f326(f326(f241(x82351),f2(x82351)),x82352))+~P103(f326(f326(f241(x82351),f326(f326(f82(x82351),x82353),x82352)),f326(f326(f82(x82351),x82354),x82352)))
% 149.08/148.76 [8236]~P122(x82361)+P103(f326(f326(f241(x82361),x82362),f2(x82361)))+P103(f326(f326(f241(x82361),f2(x82361)),x82362))+~P103(f326(f326(f241(x82361),f326(f326(f82(x82361),x82362),x82363)),f326(f326(f82(x82361),x82362),x82364)))
% 149.08/148.76 [8262]~P122(x82621)+~P103(f326(f326(f241(x82621),x82624),f2(x82621)))+P103(f326(f326(f240(x82621),x82622),x82623))+~P103(f326(f326(f240(x82621),f326(f326(f82(x82621),x82624),x82623)),f326(f326(f82(x82621),x82624),x82622)))
% 149.08/148.76 [8263]~P122(x82631)+~P103(f326(f326(f241(x82631),x82634),f2(x82631)))+P103(f326(f326(f241(x82631),x82632),x82633))+~P103(f326(f326(f241(x82631),f326(f326(f82(x82631),x82634),x82633)),f326(f326(f82(x82631),x82634),x82632)))
% 149.08/148.76 [8275]~P108(x82753)+~P103(f326(f326(f241(x82753),f79(x82753)),x82754))+P103(f326(f326(f240(a872),x82751),x82752))+~P103(f326(f326(f240(x82753),f326(f326(f251(x82753),x82754),x82751)),f326(f326(f251(x82753),x82754),x82752)))
% 149.08/148.76 [8277]~P108(x82773)+~P103(f326(f326(f241(x82773),f79(x82773)),x82774))+P103(f326(f326(f241(a872),x82771),x82772))+~P103(f326(f326(f241(x82773),f326(f326(f251(x82773),x82774),x82771)),f326(f326(f251(x82773),x82774),x82772)))
% 149.08/148.76 [8287]~P122(x82871)+P103(f326(f326(f240(x82871),x82872),x82873))+~P103(f326(f326(f241(x82871),f2(x82871)),x82874))+~P103(f326(f326(f240(x82871),f326(f326(f82(x82871),x82874),x82872)),f326(f326(f82(x82871),x82874),x82873)))
% 149.08/148.76 [8288]~P126(x82881)+P103(f326(f326(f240(x82881),x82882),x82883))+~P103(f326(f326(f241(x82881),f2(x82881)),x82884))+~P103(f326(f326(f240(x82881),f326(f326(f82(x82881),x82884),x82882)),f326(f326(f82(x82881),x82884),x82883)))
% 149.08/148.76 [8289]~P126(x82891)+P103(f326(f326(f240(x82891),x82892),x82893))+~P103(f326(f326(f241(x82891),f2(x82891)),x82894))+~P103(f326(f326(f240(x82891),f326(f326(f82(x82891),x82892),x82894)),f326(f326(f82(x82891),x82893),x82894)))
% 149.08/148.76 [8290]~P122(x82901)+P103(f326(f326(f241(x82901),x82902),x82903))+~P103(f326(f326(f241(x82901),f2(x82901)),x82904))+~P103(f326(f326(f241(x82901),f326(f326(f82(x82901),x82904),x82902)),f326(f326(f82(x82901),x82904),x82903)))
% 149.08/148.76 [8291]~P126(x82911)+P103(f326(f326(f241(x82911),x82912),x82913))+~P103(f326(f326(f240(x82911),f2(x82911)),x82914))+~P103(f326(f326(f241(x82911),f326(f326(f82(x82911),x82914),x82912)),f326(f326(f82(x82911),x82914),x82913)))
% 149.08/148.76 [8292]~P127(x82921)+P103(f326(f326(f241(x82921),x82922),x82923))+~P103(f326(f326(f240(x82921),f2(x82921)),x82924))+~P103(f326(f326(f241(x82921),f326(f326(f82(x82921),x82924),x82922)),f326(f326(f82(x82921),x82924),x82923)))
% 149.08/148.76 [8293]~P108(x82931)+~P103(f326(f326(f240(x82931),f2(x82931)),x82933))+P103(f326(f326(f241(x82931),x82932),x82933))+~P103(f326(f326(f241(x82931),f326(f326(f251(x82931),x82932),x82934)),f326(f326(f251(x82931),x82933),x82934)))
% 149.08/148.76 [8294]~P126(x82941)+P103(f326(f326(f241(x82941),x82942),x82943))+~P103(f326(f326(f240(x82941),f2(x82941)),x82944))+~P103(f326(f326(f241(x82941),f326(f326(f82(x82941),x82942),x82944)),f326(f326(f82(x82941),x82943),x82944)))
% 149.08/148.76 [8295]~P127(x82951)+P103(f326(f326(f241(x82951),x82952),x82953))+~P103(f326(f326(f240(x82951),f2(x82951)),x82954))+~P103(f326(f326(f241(x82951),f326(f326(f82(x82951),x82952),x82954)),f326(f326(f82(x82951),x82953),x82954)))
% 149.08/148.76 [8338]P103(f326(f326(f328(x83381),x83382),x83383))+~P103(f326(f326(f240(f880(x83381,a866)),x83383),x83384))+~P103(f326(f326(f241(f880(x83381,a866)),x83383),x83384))+P103(f326(f326(f241(f880(x83381,a866)),x83383),f326(f326(f304(x83381),x83382),x83384)))
% 149.08/148.76 [8597]~P58(x85971)+~P95(x85972)+~E(f326(x85973,f810(x85974,x85973,x85971,x85972)),f326(x85974,f810(x85974,x85973,x85971,x85972)))+P103(f326(f326(f92(f880(x85971,x85972)),x85973),x85974))
% 149.08/148.76 [8711]E(f326(f326(f22(a1),f415(x87111,x87112,x87113,x87114)),f416(x87111,x87112,x87113,x87114)),x87114)+~P103(f326(f326(f241(a1),f2(a1)),x87113))+~P103(f326(f326(f240(a1),x87111),x87114))+P103(f326(f326(f240(a1),x87111),f326(f326(f81(a1),x87114),x87113)))
% 149.08/148.76 [8712]E(f326(f326(f22(a1),f422(x87121,x87122,x87123,x87124)),f423(x87121,x87122,x87123,x87124)),x87124)+~P103(f326(f326(f241(a1),f2(a1)),x87123))+~P103(f326(f326(f241(a1),x87121),x87124))+P103(f326(f326(f241(a1),x87121),f326(f326(f81(a1),x87124),x87123)))
% 149.08/148.76 [8849]~E(f326(f326(f161(x88491),x88493),f722(x88494,x88493,x88491,x88492)),f326(f326(f161(x88491),x88494),f722(x88494,x88493,x88491,x88492)))+E(f326(f326(f171(x88491),x88492),x88493),f326(f326(f171(x88491),x88492),x88494))+~P103(f326(f326(f240(a872),x88492),f326(f191(f873(x88491)),x88493)))+~P103(f326(f326(f240(a872),x88492),f326(f191(f873(x88491)),x88494)))
% 149.08/148.76 [8921]~P103(f326(f326(f241(a1),f2(a1)),x89213))+~P103(f326(f326(f240(a1),x89211),x89214))+P103(f326(f326(f328(a1),f415(x89211,x89212,x89213,x89214)),x89212))+P103(f326(f326(f240(a1),x89211),f326(f326(f81(a1),x89214),x89213)))
% 149.08/148.76 [8922]~P103(f326(f326(f241(a1),f2(a1)),x89223))+~P103(f326(f326(f241(a1),x89221),x89224))+P103(f326(f326(f328(a1),f422(x89221,x89222,x89223,x89224)),x89222))+P103(f326(f326(f241(a1),x89221),f326(f326(f81(a1),x89224),x89223)))
% 149.08/148.76 [8964]~P100(x89641)+~P103(f326(f62(x89641),x89643))+~P103(f326(f326(f328(x89641),x89644),x89643))+P103(f326(f326(f240(x89641),f326(f326(f65(x89641,x89641,f106(x89641)),x89642),x89643)),f326(f326(f106(x89641),x89644),x89642)))
% 149.08/148.76 [8965]~P105(x89651)+~P103(f326(f62(x89651),x89653))+~P103(f326(f326(f328(x89651),x89654),x89653))+P103(f326(f326(f240(x89651),f326(f326(f65(x89651,x89651,f238(x89651)),x89652),x89653)),f326(f326(f238(x89651),x89654),x89652)))
% 149.08/148.76 [9011]E(f326(f326(f171(x90111),x90112),x90113),f326(f326(f171(x90111),x90112),x90114))+P103(f326(f326(f241(a872),f722(x90113,x90114,x90111,x90112)),x90112))+~P103(f326(f326(f240(a872),x90112),f326(f191(f873(x90111)),x90113)))+~P103(f326(f326(f240(a872),x90112),f326(f191(f873(x90111)),x90114)))
% 149.08/148.76 [9016]~P103(f326(f326(f241(a1),f2(a1)),x90163))+~P103(f326(f326(f240(a1),x90161),x90162))+P103(f326(f326(f328(a1),f416(x90161,x90164,x90163,x90162)),f297(a1,f79(a1),x90163)))+P103(f326(f326(f240(a1),x90161),f326(f326(f81(a1),x90162),x90163)))
% 149.08/148.76 [9017]~P103(f326(f326(f241(a1),f2(a1)),x90173))+~P103(f326(f326(f241(a1),x90171),x90172))+P103(f326(f326(f328(a1),f423(x90171,x90174,x90173,x90172)),f297(a1,f79(a1),x90173)))+P103(f326(f326(f241(a1),x90171),f326(f326(f81(a1),x90172),x90173)))
% 149.08/148.76 [9180]~E(f326(f174(x91801,x91802),x91803),f326(f174(x91801,x91802),x91804))+E(f326(f168(f879(x91801,x91802)),x91803),f326(f168(f879(x91801,x91802)),x91804))+~P103(f326(f133(x91801),f326(f326(f150(f879(x91801,x91802),x91801),f260(x91801,x91802)),x91804)))+~P103(f326(f133(x91801),f326(f326(f150(f879(x91801,x91802),x91801),f260(x91801,x91802)),x91803)))
% 149.08/148.76 [9192]E(f326(f174(x91921,x91922),x91923),f326(f174(x91921,x91922),x91924))+~E(f326(f168(f879(x91921,x91922)),x91923),f326(f168(f879(x91921,x91922)),x91924))+~P103(f326(f133(x91921),f326(f326(f150(f879(x91921,x91922),x91921),f260(x91921,x91922)),x91924)))+~P103(f326(f133(x91921),f326(f326(f150(f879(x91921,x91922),x91921),f260(x91921,x91922)),x91923)))
% 149.08/148.76 [9335]~P63(x93351)+~P103(f326(f62(x93351),x93354))+P103(f326(f326(f328(x93351),f843(x93352,x93353,x93354,x93351)),x93354))+P103(f326(f326(f240(x93351),f326(f326(f65(x93351,x93351,f115(x93351)),x93352),x93354)),f326(f326(f115(x93351),x93353),x93352)))
% 149.08/148.76 [9336]~P105(x93361)+~P103(f326(f62(x93361),x93364))+P103(f326(f326(f328(x93361),f507(x93362,x93363,x93364,x93361)),x93364))+P103(f326(f326(f240(x93361),f326(f326(f65(x93361,x93361,f239(x93361)),x93362),x93364)),f326(f326(f239(x93361),x93363),x93362)))
% 149.08/148.76 [9459]~P63(x94591)+~P103(f326(f62(x94591),x94593))+~P103(f326(f326(f240(x94591),f843(x94592,x94594,x94593,x94591)),x94594))+P103(f326(f326(f240(x94591),f326(f326(f65(x94591,x94591,f115(x94591)),x94592),x94593)),f326(f326(f115(x94591),x94594),x94592)))
% 149.08/148.76 [9460]~P105(x94601)+~P103(f326(f62(x94601),x94603))+~P103(f326(f326(f240(x94601),f507(x94602,x94604,x94603,x94601)),x94604))+P103(f326(f326(f240(x94601),f326(f326(f65(x94601,x94601,f239(x94601)),x94602),x94603)),f326(f326(f239(x94601),x94604),x94602)))
% 149.08/148.76 [9463]~P103(f326(f326(f240(a1),f2(a1)),x94634))+~P103(f326(f326(f241(a1),f2(a1)),x94633))+~P103(f326(f326(f241(a1),x94634),x94631))+P103(f326(f326(f241(a1),f326(f326(f81(a1),f326(f326(f82(a1),x94631),f45(a1,x94632,x94633))),x94634)),f326(f326(f82(a1),x94631),x94633)))
% 149.08/148.76 [9858]E(x98581,x98582)+P103(f326(f326(f328(f879(f873(x98583),f873(x98583))),f326(f326(f261(f873(x98583),f873(x98583)),x98582),x98581)),f143(x98583,x98584)))+P103(f326(f326(f328(f879(f873(x98583),f873(x98583))),f326(f326(f261(f873(x98583),f873(x98583)),x98581),x98582)),f143(x98583,x98584)))+~P103(f326(f326(f328(f879(x98583,x98583)),f326(f326(f261(x98583,x98583),f716(x98581,x98582,x98584,x98583)),f718(x98581,x98582,x98584,x98583))),x98584))
% 149.08/148.76 [9859]E(x98591,x98592)+P103(f326(f326(f328(f879(f873(x98593),f873(x98593))),f326(f326(f261(f873(x98593),f873(x98593)),x98592),x98591)),f143(x98593,x98594)))+P103(f326(f326(f328(f879(f873(x98593),f873(x98593))),f326(f326(f261(f873(x98593),f873(x98593)),x98591),x98592)),f143(x98593,x98594)))+~P103(f326(f326(f328(f879(x98593,x98593)),f326(f326(f261(x98593,x98593),f718(x98591,x98592,x98594,x98593)),f716(x98591,x98592,x98594,x98593))),x98594))
% 149.08/148.76 [7417]~P63(x74171)+~P103(f326(f326(f240(x74171),x74173),x74174))+~P103(f326(f326(f240(x74171),x74172),x74174))+P103(f326(f326(f240(x74171),f326(f326(f115(x74171),x74172),x74173)),x74174))
% 149.08/148.76 [7420]~P105(x74201)+~P103(f326(f326(f240(x74201),x74203),x74204))+~P103(f326(f326(f240(x74201),x74202),x74204))+P103(f326(f326(f240(x74201),f326(f326(f239(x74201),x74202),x74203)),x74204))
% 149.08/148.76 [7421]~P105(x74211)+~P103(f326(f326(f241(x74211),x74213),x74214))+~P103(f326(f326(f241(x74211),x74212),x74214))+P103(f326(f326(f241(x74211),f326(f326(f239(x74211),x74212),x74213)),x74214))
% 149.08/148.76 [7740]~E(x77401,x77403)+E(f135(a872,f326(f296(a872,x77401),x77402)),f326(f326(f147(a872),x77403),x77404))+~E(f135(a872,f326(f296(a872,f326(f326(f81(a872),x77401),f79(a872))),x77402)),x77404)+~P103(f326(f326(f241(a872),x77401),x77402))
% 149.08/148.76 [7751]~P105(x77511)+P103(f326(f326(f240(x77511),x77512),x77513))+P103(f326(f326(f240(x77511),x77514),x77513))+~P103(f326(f326(f240(x77511),f326(f326(f238(x77511),x77514),x77512)),x77513))
% 149.08/148.76 [7752]~P105(x77521)+P103(f326(f326(f241(x77521),x77522),x77523))+P103(f326(f326(f241(x77521),x77524),x77523))+~P103(f326(f326(f241(x77521),f326(f326(f238(x77521),x77524),x77522)),x77523))
% 149.08/148.76 [8032]~P61(x80321)+~P103(f326(f326(f241(x80321),f2(x80321)),x80323))+~P103(f326(f326(f240(x80321),x80322),f326(f326(f284(x80321),x80324),x80323)))+P103(f326(f326(f240(x80321),f326(f326(f82(x80321),x80322),x80323)),x80324))
% 149.08/148.76 [8033]~P62(x80331)+~P103(f326(f326(f241(x80331),f2(x80331)),x80333))+~P103(f326(f326(f240(x80331),x80332),f326(f326(f284(x80331),x80334),x80333)))+P103(f326(f326(f240(x80331),f326(f326(f82(x80331),x80332),x80333)),x80334))
% 149.08/148.76 [8035]~P61(x80351)+~P103(f326(f326(f241(x80351),f2(x80351)),x80353))+~P103(f326(f326(f240(x80351),x80352),f326(f326(f82(x80351),x80354),x80353)))+P103(f326(f326(f240(x80351),f326(f326(f284(x80351),x80352),x80353)),x80354))
% 149.08/148.76 [8036]~P62(x80361)+~P103(f326(f326(f241(x80361),f2(x80361)),x80363))+~P103(f326(f326(f240(x80361),x80362),f326(f326(f82(x80361),x80364),x80363)))+P103(f326(f326(f240(x80361),f326(f326(f284(x80361),x80362),x80363)),x80364))
% 149.08/148.76 [8037]~P61(x80371)+~P103(f326(f326(f241(x80371),f2(x80371)),x80373))+~P103(f326(f326(f241(x80371),x80372),f326(f326(f284(x80371),x80374),x80373)))+P103(f326(f326(f241(x80371),f326(f326(f82(x80371),x80372),x80373)),x80374))
% 149.08/148.76 [8038]~P62(x80381)+~P103(f326(f326(f241(x80381),f2(x80381)),x80383))+~P103(f326(f326(f241(x80381),x80382),f326(f326(f284(x80381),x80384),x80383)))+P103(f326(f326(f241(x80381),f326(f326(f82(x80381),x80382),x80383)),x80384))
% 149.08/148.76 [8040]~P61(x80401)+~P103(f326(f326(f241(x80401),f2(x80401)),x80403))+~P103(f326(f326(f241(x80401),x80402),f326(f326(f82(x80401),x80404),x80403)))+P103(f326(f326(f241(x80401),f326(f326(f284(x80401),x80402),x80403)),x80404))
% 149.08/148.76 [8041]~P62(x80411)+~P103(f326(f326(f241(x80411),f2(x80411)),x80413))+~P103(f326(f326(f241(x80411),x80412),f326(f326(f82(x80411),x80414),x80413)))+P103(f326(f326(f241(x80411),f326(f326(f284(x80411),x80412),x80413)),x80414))
% 149.08/148.76 [8173]~P61(x81731)+~P103(f326(f326(f241(x81731),f2(x81731)),x81734))+P103(f326(f326(f240(x81731),x81732),f326(f326(f82(x81731),x81733),x81734)))+~P103(f326(f326(f240(x81731),f326(f326(f284(x81731),x81732),x81734)),x81733))
% 149.08/148.76 [8175]~P61(x81751)+~P103(f326(f326(f241(x81751),f2(x81751)),x81754))+P103(f326(f326(f240(x81751),x81752),f326(f326(f284(x81751),x81753),x81754)))+~P103(f326(f326(f240(x81751),f326(f326(f82(x81751),x81752),x81754)),x81753))
% 149.08/148.76 [8176]~P62(x81761)+~P103(f326(f326(f241(x81761),f2(x81761)),x81764))+P103(f326(f326(f240(x81761),x81762),f326(f326(f82(x81761),x81763),x81764)))+~P103(f326(f326(f240(x81761),f326(f326(f284(x81761),x81762),x81764)),x81763))
% 149.08/148.76 [8177]~P62(x81771)+~P103(f326(f326(f241(x81771),f2(x81771)),x81774))+P103(f326(f326(f240(x81771),x81772),f326(f326(f284(x81771),x81773),x81774)))+~P103(f326(f326(f240(x81771),f326(f326(f82(x81771),x81772),x81774)),x81773))
% 149.08/148.76 [8178]~P61(x81781)+~P103(f326(f326(f241(x81781),f2(x81781)),x81784))+P103(f326(f326(f241(x81781),x81782),f326(f326(f82(x81781),x81783),x81784)))+~P103(f326(f326(f241(x81781),f326(f326(f284(x81781),x81782),x81784)),x81783))
% 149.08/148.76 [8180]~P61(x81801)+~P103(f326(f326(f241(x81801),f2(x81801)),x81804))+P103(f326(f326(f241(x81801),x81802),f326(f326(f284(x81801),x81803),x81804)))+~P103(f326(f326(f241(x81801),f326(f326(f82(x81801),x81802),x81804)),x81803))
% 149.08/148.76 [8181]~P62(x81811)+~P103(f326(f326(f241(x81811),f2(x81811)),x81814))+P103(f326(f326(f241(x81811),x81812),f326(f326(f82(x81811),x81813),x81814)))+~P103(f326(f326(f241(x81811),f326(f326(f284(x81811),x81812),x81814)),x81813))
% 149.08/148.76 [8182]~P62(x81821)+~P103(f326(f326(f241(x81821),f2(x81821)),x81824))+P103(f326(f326(f241(x81821),x81822),f326(f326(f284(x81821),x81823),x81824)))+~P103(f326(f326(f241(x81821),f326(f326(f82(x81821),x81822),x81824)),x81823))
% 149.08/148.76 [8343]~P62(x83431)+~P103(f326(f326(f241(x83431),x83433),f2(x83431)))+~P103(f326(f326(f240(x83431),f326(f326(f284(x83431),x83434),x83433)),x83432))+P103(f326(f326(f240(x83431),f326(f326(f82(x83431),x83432),x83433)),x83434))
% 149.08/148.76 [8344]~P62(x83441)+~P103(f326(f326(f241(x83441),x83443),f2(x83441)))+~P103(f326(f326(f240(x83441),f326(f326(f82(x83441),x83444),x83443)),x83442))+P103(f326(f326(f240(x83441),f326(f326(f284(x83441),x83442),x83443)),x83444))
% 149.08/148.76 [8345]~P62(x83451)+~P103(f326(f326(f241(x83451),x83453),f2(x83451)))+~P103(f326(f326(f241(x83451),f326(f326(f284(x83451),x83454),x83453)),x83452))+P103(f326(f326(f241(x83451),f326(f326(f82(x83451),x83452),x83453)),x83454))
% 149.08/148.76 [8346]~P62(x83461)+~P103(f326(f326(f241(x83461),x83463),f2(x83461)))+~P103(f326(f326(f241(x83461),f326(f326(f82(x83461),x83464),x83463)),x83462))+P103(f326(f326(f241(x83461),f326(f326(f284(x83461),x83462),x83463)),x83464))
% 149.08/148.76 [8356]~P103(f326(x83561,x83564))+~P103(f326(f326(f241(a872),x83562),f326(f326(f82(a872),x83563),f326(a117,x83564))))+P103(f326(x83561,f326(f326(f39(a872),x83562),x83563)))+~P103(f326(f326(f240(a872),f326(f326(f82(a872),x83563),x83564)),x83562))
% 149.08/148.76 [8571]~P63(x85711)+~P103(f326(f62(x85711),x85714))+~P103(f326(f326(f328(x85711),x85712),x85714))+P103(f326(f326(f240(x85711),f326(f326(f115(x85711),x85712),x85713)),f326(f326(f65(x85711,x85711,f115(x85711)),x85713),x85714)))
% 149.08/148.76 [8572]~P105(x85721)+~P103(f326(f62(x85721),x85724))+~P103(f326(f326(f328(x85721),x85722),x85724))+P103(f326(f326(f240(x85721),f326(f326(f239(x85721),x85722),x85723)),f326(f326(f65(x85721,x85721,f239(x85721)),x85723),x85724)))
% 149.08/148.76 [8713]~P103(f326(f62(x87131),x87132))+E(f326(f38(x87131),f326(f326(f22(f880(x87131,a866)),x87132),f326(f326(f304(x87131),x87133),x87134))),f326(f326(f22(a872),f326(f38(x87131),f326(f326(f22(f880(x87131,a866)),x87132),x87134))),f79(a872)))+P103(f326(f326(f328(x87131),x87133),x87134))+~P103(f326(f326(f328(x87131),x87133),x87132))
% 149.08/148.76 [8784]E(f326(f326(f81(a1),f417(x87841,x87842,x87843,x87844)),f414(x87841,x87842,x87843,x87844)),x87844)+~P103(f326(f326(f241(a1),f2(a1)),x87843))+~P103(f326(f326(f240(a1),x87844),x87841))+P103(f326(f326(f240(a1),f326(f326(f22(a1),x87844),x87843)),x87841))
% 149.08/148.76 [8785]E(f326(f326(f81(a1),f425(x87851,x87852,x87853,x87854)),f424(x87851,x87852,x87853,x87854)),x87854)+~P103(f326(f326(f241(a1),f2(a1)),x87853))+~P103(f326(f326(f241(a1),x87854),x87851))+P103(f326(f326(f241(a1),f326(f326(f22(a1),x87854),x87853)),x87851))
% 149.08/148.76 [8996]~P103(f326(f326(f241(a1),f2(a1)),x89963))+~P103(f326(f326(f240(a1),x89964),x89961))+P103(f326(f326(f328(a1),f417(x89961,x89962,x89963,x89964)),x89962))+P103(f326(f326(f240(a1),f326(f326(f22(a1),x89964),x89963)),x89961))
% 149.08/148.76 [8997]~P103(f326(f326(f241(a1),f2(a1)),x89973))+~P103(f326(f326(f241(a1),x89974),x89971))+P103(f326(f326(f328(a1),f425(x89971,x89972,x89973,x89974)),x89972))+P103(f326(f326(f241(a1),f326(f326(f22(a1),x89974),x89973)),x89971))
% 149.08/148.76 [9082]~P103(f326(f326(f241(a1),f2(a1)),x90822))+~P103(f326(f326(f240(a1),x90821),x90823))+P103(f326(f326(f328(a1),f414(x90823,x90824,x90822,x90821)),f297(a1,f79(a1),x90822)))+P103(f326(f326(f240(a1),f326(f326(f22(a1),x90821),x90822)),x90823))
% 149.08/148.76 [9083]~P103(f326(f326(f241(a1),f2(a1)),x90832))+~P103(f326(f326(f241(a1),x90831),x90833))+P103(f326(f326(f328(a1),f424(x90833,x90834,x90832,x90831)),f297(a1,f79(a1),x90832)))+P103(f326(f326(f241(a1),f326(f326(f22(a1),x90831),x90832)),x90833))
% 149.08/148.76 [9099]~P103(f326(f326(f240(a1),f2(a1)),x90994))+~P103(f326(f326(f241(a1),f2(a1)),x90993))+~P103(f326(f326(f241(a1),x90994),x90991))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),f326(f326(f82(a1),x90991),f45(a1,x90992,x90993))),x90994)))
% 149.08/148.76 [9163]~P100(x91631)+~P103(f326(f62(x91631),x91634))+~P103(f326(f326(f240(x91631),x91632),f514(x91633,x91632,x91634,x91631)))+P103(f326(f326(f240(x91631),f326(f326(f106(x91631),x91632),x91633)),f326(f326(f65(x91631,x91631,f106(x91631)),x91633),x91634)))
% 149.08/148.76 [9164]~P105(x91641)+~P103(f326(f62(x91641),x91644))+~P103(f326(f326(f240(x91641),x91642),f506(x91643,x91642,x91644,x91641)))+P103(f326(f326(f240(x91641),f326(f326(f238(x91641),x91642),x91643)),f326(f326(f65(x91641,x91641,f238(x91641)),x91643),x91644)))
% 149.08/148.76 [9179]~P103(f326(f326(f240(a1),x91794),f2(a1)))+~P103(f326(f326(f241(a1),f2(a1)),x91792))+~P103(f326(f326(f241(a1),x91791),x91794))+P103(f326(f326(f241(a1),f326(f326(f82(a1),x91791),x91792)),f326(f326(f81(a1),f326(f326(f82(a1),x91791),f45(a1,x91793,x91792))),x91794)))
% 149.08/148.76 [9201]P103(f326(f62(x92011),x92012))+~P103(f326(f62(x92011),x92013))+~P103(f326(f326(f328(f880(x92011,a866)),x92012),f326(f326(f61(x92011),x92013),x92014)))+~P103(f326(f326(f240(f880(f879(x92011,x92011),a866)),x92014),f326(f326(f263(x92011,x92011),x92013),f326(f16(f880(x92011,a866),x92011),x92013))))
% 149.08/148.76 [9229]~P105(x92291)+~P103(f326(f62(x92291),x92294))+P103(f326(f326(f328(x92291),f506(x92292,x92293,x92294,x92291)),x92294))+P103(f326(f326(f240(x92291),f326(f326(f238(x92291),x92293),x92292)),f326(f326(f65(x92291,x92291,f238(x92291)),x92292),x92294)))
% 149.08/148.76 [9230]~P100(x92301)+~P103(f326(f62(x92301),x92304))+P103(f326(f326(f328(x92301),f514(x92302,x92303,x92304,x92301)),x92304))+P103(f326(f326(f240(x92301),f326(f326(f106(x92301),x92303),x92302)),f326(f326(f65(x92301,x92301,f106(x92301)),x92302),x92304)))
% 149.08/148.76 [9625]~P103(f326(f62(x96252),x96254))+~P103(f326(f62(x96251),x96253))+~P103(f326(f326(f240(a872),f326(f38(x96252),x96254)),f326(f38(x96251),x96253)))+P103(f326(f326(f240(f880(x96251,a866)),f326(f305(x96252,x96251,f559(x96253,x96251,x96254,x96252)),x96254)),x96253))
% 149.08/148.76 [9276]~P103(f326(f326(f328(x92761),x92762),x92764))+P103(f326(f326(f328(x92761),x92762),x92763))+~P103(f326(f326(f241(f880(x92761,a866)),x92764),f326(f326(f304(x92761),x92762),x92763)))+P103(f326(f326(f241(f880(x92761,a866)),f326(f326(f22(f880(x92761,a866)),x92764),f326(f326(f304(x92761),x92762),f190(f880(x92761,a866))))),x92763))
% 149.08/148.76 [9437]~P103(f326(f326(f328(x94371),x94372),x94374))+P103(f326(f326(f328(x94371),x94372),x94373))+P103(f326(f326(f241(f880(x94371,a866)),x94374),f326(f326(f304(x94371),x94372),x94373)))+~P103(f326(f326(f241(f880(x94371,a866)),f326(f326(f22(f880(x94371,a866)),x94374),f326(f326(f304(x94371),x94372),f190(f880(x94371,a866))))),x94373))
% 149.08/148.76 [9466]P103(f326(f326(f328(x94661),x94662),x94663))+~P103(f326(f326(f240(f880(x94661,a866)),x94664),x94663))+P103(f326(f326(f241(f880(x94661,a866)),x94664),f326(f326(f304(x94661),x94662),x94663)))+~P103(f326(f326(f241(f880(x94661,a866)),f326(f326(f22(f880(x94661,a866)),x94664),f326(f326(f304(x94661),x94662),f190(f880(x94661,a866))))),x94663))
% 149.08/148.76 [9471]~P103(f326(f326(f328(x94711),x94713),x94712))+~P103(f326(f326(f241(f880(x94711,a866)),x94712),x94714))+P103(f326(f326(f241(f880(x94711,a866)),x94712),f326(f326(f304(x94711),x94713),x94714)))+~P103(f326(f326(f241(f880(x94711,a866)),f326(f326(f22(f880(x94711,a866)),x94712),f326(f326(f304(x94711),x94713),f190(f880(x94711,a866))))),x94714))
% 149.08/148.76 [9484]~P103(f326(f326(f240(f880(x94841,a866)),x94842),x94844))+~P103(f326(f326(f241(f880(x94841,a866)),x94842),x94844))+P103(f326(f326(f241(f880(x94841,a866)),x94842),f326(f326(f304(x94841),x94843),x94844)))+~P103(f326(f326(f241(f880(x94841,a866)),f326(f326(f22(f880(x94841,a866)),x94842),f326(f326(f304(x94841),x94843),f190(f880(x94841,a866))))),x94844))
% 149.08/148.76 [9528]~P107(x95282)+~P58(x95281)+~P103(f326(f326(f240(f880(x95281,x95282)),x95283),x95284))+P103(f326(f59(x95281),f326(f326(f18(x95281,x95282,a866),f326(f326(f8(x95282,f880(x95282,a866),x95281),f240(x95282)),x95283)),x95284)))
% 149.08/148.76 [9672]~P107(x96722)+~P58(x96721)+P103(f326(f326(f240(f880(x96721,x96722)),x96723),x96724))+~P103(f326(f59(x96721),f326(f326(f18(x96721,x96722,a866),f326(f326(f8(x96722,f880(x96722,a866),x96721),f240(x96722)),x96723)),x96724)))
% 149.08/148.76 [9842]E(f326(f326(f161(x98421),f326(f326(f161(f873(x98421)),f176(x98421,x98422)),x98423)),x98424),f326(f326(f161(x98421),f326(f326(f161(f873(x98421)),x98422),x98424)),x98423))+~P103(f326(f326(f241(a872),x98423),f326(f191(f873(f873(x98421))),f176(x98421,x98422))))+~P28(a872,f326(f165(a872),f326(f326(f150(f873(x98421),a872),f191(f873(x98421))),x98422)))+~P103(f326(f326(f241(a872),x98424),f326(f191(f873(f873(x98421))),f326(f132(f873(x98421),f326(f326(f8(a872,a866,f873(x98421)),f326(f241(a872),x98423)),f191(f873(x98421)))),x98422))))
% 149.08/148.76 [9871]~P103(f326(f326(f328(f879(a872,a872)),x98714),x98711))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x98714),x98712)),a71))+~P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98711),x98713)),a72))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98711),f326(f326(f304(f879(a872,a872)),x98712),x98713))),a72))
% 149.08/148.76 [9872]~P103(f326(f326(f328(f879(a872,a872)),x98724),x98721))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x98724),x98722)),a36))+~P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98721),x98723)),a69))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98721),f326(f326(f304(f879(a872,a872)),x98722),x98723))),a69))
% 149.08/148.76 [9756]~P107(x97562)+~P58(x97561)+~P103(f326(f326(f241(f880(x97561,x97562)),x97563),x97564))+P103(f326(f58(x97561),f326(f326(f8(a866,a866,x97561),a321),f326(f326(f18(x97561,x97562,a866),f326(f326(f8(x97562,f880(x97562,a866),x97561),a323),x97563)),x97564))))
% 149.08/148.76 [9885]~P103(f326(f326(f328(f879(a872,a872)),x98854),x98853))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x98851),x98854)),a36))+~P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98852),x98853)),a37))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f326(f326(f304(f879(a872,a872)),x98851),x98852)),x98853)),a37))
% 149.08/148.76 [9886]~P103(f326(f326(f328(f879(a872,a872)),x98864),x98863))+~P103(f326(f326(f328(f879(f879(a872,a872),f879(a872,a872))),f326(f326(f261(f879(a872,a872),f879(a872,a872)),x98861),x98864)),a71))+~P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),x98862),x98863)),a70))+P103(f326(f326(f328(f879(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866))),f326(f326(f261(f880(f879(a872,a872),a866),f880(f879(a872,a872),a866)),f326(f326(f304(f879(a872,a872)),x98861),x98862)),x98863)),a70))
% 149.08/148.76 [6012]~P2(x60124,x60121)+~P103(f326(f326(x60121,x60122),x60125))+P103(f326(f326(x60121,x60122),x60123))+~P103(f326(f326(x60121,x60125),x60123))
% 149.08/148.76 [5273]~P65(x52735)+E(x52731,x52732)+~E(x52733,x52734)+~E(f326(f326(f22(x52735),x52733),x52734),f326(f326(f22(x52735),x52731),x52732))
% 149.08/148.76 [6120]~P13(x61205,x61201,x61203)+E(f326(f326(x61201,x61202),f326(x61203,x61204)),f326(x61203,x61204))+~P103(f326(f62(x61205),x61204))+~P103(f326(f326(f328(x61205),x61202),x61204))
% 149.08/148.76 [6313]~P78(x63131)+~E(f326(f326(f22(x63131),x63134),x63135),f326(f326(f22(x63131),x63132),x63133))+~P103(f326(f326(f240(x63131),x63134),x63135))+P103(f326(f326(f240(x63131),x63132),x63133))
% 149.08/148.76 [6315]~P78(x63151)+~E(f326(f326(f22(x63151),x63154),x63155),f326(f326(f22(x63151),x63152),x63153))+~P103(f326(f326(f241(x63151),x63154),x63155))+P103(f326(f326(f241(x63151),x63152),x63153))
% 149.08/148.76 [7276]~E(x72762,f326(f326(f147(x72761),x72764),x72765))+P103(f326(f326(f328(f873(x72761)),x72762),f157(x72761,x72763)))+~P103(f326(f326(f328(f873(x72761)),x72765),f157(x72761,x72763)))+~P103(f326(f326(f328(x72761),x72764),x72763))
% 149.08/148.76 [7693]~E(f326(f191(f873(x76931)),x76933),f326(f191(f873(x76932)),x76934))+~E(f326(f326(f150(f879(x76931,x76932),x76932),f264(x76931,x76932)),x76935),x76934)+~E(f326(f326(f150(f879(x76931,x76932),x76931),f260(x76931,x76932)),x76935),x76933)+E(f326(f326(f178(x76931,x76932),x76933),x76934),x76935)
% 149.08/148.76 [8029]~P107(x80291)+P103(f326(f326(f241(f880(x80291,a866)),f297(x80291,x80292,x80293)),f297(x80291,x80294,x80295)))+~P103(f326(f326(f240(x80291),x80294),x80295))+P103(f326(f326(f240(x80291),x80292),x80293))
% 149.08/148.76 [8125]~P107(x81251)+P103(f326(f326(f240(f880(x81251,a866)),f297(x81251,x81252,x81253)),f297(x81251,x81254,x81255)))+~P103(f326(f326(f240(x81251),x81253),x81255))+~P103(f326(f326(f240(x81251),x81254),x81252))
% 149.08/148.76 [8250]~P105(x82501)+P103(f326(f326(f240(x82501),x82502),x82503))+P103(f326(f326(f240(x82501),x82504),x82503))+~P103(f326(f326(f240(f880(x82501,a866)),f326(f296(x82501,x82503),x82502)),f326(f296(x82501,x82504),x82505)))
% 149.08/148.76 [8251]~P105(x82511)+P103(f326(f326(f240(x82511),x82512),x82513))+P103(f326(f326(f240(x82511),x82512),x82514))+~P103(f326(f326(f240(f880(x82511,a866)),f326(f296(x82511,x82513),x82512)),f326(f296(x82511,x82515),x82514)))
% 149.08/148.76 [8492]~P107(x84921)+~P103(f326(f326(f240(f880(x84921,a866)),f297(x84921,x84924,x84922)),f297(x84921,x84925,x84923)))+P103(f326(f326(f240(x84921),x84922),x84923))+~P103(f326(f326(f240(x84921),x84924),x84922))
% 149.08/148.76 [8493]~P107(x84931)+~P103(f326(f326(f241(f880(x84931,a866)),f297(x84931,x84934,x84932)),f297(x84931,x84935,x84933)))+P103(f326(f326(f240(x84931),x84932),x84933))+~P103(f326(f326(f240(x84931),x84934),x84932))
% 149.08/148.76 [8494]~P107(x84941)+~P103(f326(f326(f240(f880(x84941,a866)),f297(x84941,x84943,x84944)),f297(x84941,x84942,x84945)))+P103(f326(f326(f240(x84941),x84942),x84943))+~P103(f326(f326(f240(x84941),x84943),x84944))
% 149.08/148.76 [8495]~P107(x84951)+~P103(f326(f326(f241(f880(x84951,a866)),f297(x84951,x84953,x84954)),f297(x84951,x84952,x84955)))+P103(f326(f326(f240(x84951),x84952),x84953))+~P103(f326(f326(f240(x84951),x84953),x84954))
% 149.08/148.76 [6011]~P13(x60112,x60115,x60113)+E(x60111,f190(f880(x60112,a866)))+~P103(f326(f62(x60112),x60111))+E(f326(x60113,f326(f326(f304(x60112),x60114),x60111)),f326(f326(x60115,x60114),f326(x60113,x60111)))
% 149.08/148.76 [6779]~E(x67791,x67792)+~E(f326(f326(f106(f880(x67793,a866)),x67794),x67795),f190(f880(x67793,a866)))+~P103(f326(f326(f328(x67793),x67792),x67795))+~P103(f326(f326(f328(x67793),x67791),x67794))
% 149.08/148.76 [6860]~P14(x68602,x68605,x68601)+~P103(f326(f62(x68602),x68604))+E(f326(x68601,f326(f326(f304(x68602),x68603),x68604)),f326(f326(f65(x68602,x68602,x68605),x68603),x68604))+P103(f326(f326(f328(x68602),x68603),x68604))
% 149.08/148.76 [6927]~P72(x69272)+~P103(f326(f62(x69271),x69275))+E(f326(f326(f6(x69271,x69272),x69273),f326(f326(f304(x69271),x69274),x69275)),f326(f326(f81(x69272),f326(x69273,x69274)),f326(f326(f6(x69271,x69272),x69273),x69275)))+P103(f326(f326(f328(x69271),x69274),x69275))
% 149.08/148.76 [6929]~P73(x69292)+~P103(f326(f62(x69291),x69295))+E(f326(f326(f9(x69291,x69292),x69293),f326(f326(f304(x69291),x69294),x69295)),f326(f326(f82(x69292),f326(x69293,x69294)),f326(f326(f9(x69291,x69292),x69293),x69295)))+P103(f326(f326(f328(x69291),x69294),x69295))
% 149.08/148.76 [7433]~P14(x74332,x74335,x74331)+~P103(f326(f62(x74332),x74334))+E(f326(x74331,f326(f326(f304(x74332),x74333),x74334)),x74333)+~E(f326(f326(f22(f880(x74332,a866)),x74334),f326(f326(f304(x74332),x74333),f190(f880(x74332,a866)))),f190(f880(x74332,a866)))
% 149.08/148.76 [7744]~P103(f326(x77441,x77443))+~P103(f326(f326(f197(x77442),x77443),x77445))+~P103(f326(f326(f197(f33(x77441,x77442)),x77445),x77444))+P103(f326(f326(f197(f33(x77441,x77442)),x77443),x77444))
% 149.08/148.76 [7796]~P63(x77961)+~P103(f326(f326(f240(x77961),x77963),x77965))+~P103(f326(f326(f240(x77961),x77962),x77964))+P103(f326(f326(f240(x77961),f326(f326(f115(x77961),x77962),x77963)),f326(f326(f115(x77961),x77964),x77965)))
% 149.08/148.76 [7797]~P83(x77971)+~P103(f326(f326(f240(x77971),x77973),x77975))+~P103(f326(f326(f240(x77971),x77972),x77974))+P103(f326(f326(f240(x77971),f326(f326(f81(x77971),x77972),x77973)),f326(f326(f81(x77971),x77974),x77975)))
% 149.08/148.76 [7798]~P100(x77981)+~P103(f326(f326(f240(x77981),x77983),x77985))+~P103(f326(f326(f240(x77981),x77982),x77984))+P103(f326(f326(f240(x77981),f326(f326(f106(x77981),x77982),x77983)),f326(f326(f106(x77981),x77984),x77985)))
% 149.08/148.76 [7799]~P105(x77991)+~P103(f326(f326(f240(x77991),x77993),x77995))+~P103(f326(f326(f240(x77991),x77992),x77994))+P103(f326(f326(f240(x77991),f326(f326(f238(x77991),x77992),x77993)),f326(f326(f238(x77991),x77994),x77995)))
% 149.08/148.76 [7800]~P105(x78001)+~P103(f326(f326(f240(x78001),x78003),x78005))+~P103(f326(f326(f240(x78001),x78002),x78004))+P103(f326(f326(f240(x78001),f326(f326(f239(x78001),x78002),x78003)),f326(f326(f239(x78001),x78004),x78005)))
% 149.08/148.76 [7801]~P85(x78011)+~P103(f326(f326(f240(x78011),x78013),x78015))+~P103(f326(f326(f241(x78011),x78012),x78014))+P103(f326(f326(f241(x78011),f326(f326(f81(x78011),x78012),x78013)),f326(f326(f81(x78011),x78014),x78015)))
% 149.08/148.76 [7802]~P85(x78021)+~P103(f326(f326(f240(x78021),x78022),x78024))+~P103(f326(f326(f241(x78021),x78023),x78025))+P103(f326(f326(f241(x78021),f326(f326(f81(x78021),x78022),x78023)),f326(f326(f81(x78021),x78024),x78025)))
% 149.08/148.76 [7803]~P85(x78031)+~P103(f326(f326(f241(x78031),x78033),x78035))+~P103(f326(f326(f241(x78031),x78032),x78034))+P103(f326(f326(f241(x78031),f326(f326(f81(x78031),x78032),x78033)),f326(f326(f81(x78031),x78034),x78035)))
% 149.08/148.76 [7939]~P135(x79395)+E(x79391,x79392)+E(x79393,x79394)+~E(f326(f326(f81(x79395),f326(f326(f82(x79395),x79393),x79391)),f326(f326(f82(x79395),x79394),x79392)),f326(f326(f81(x79395),f326(f326(f82(x79395),x79393),x79392)),f326(f326(f82(x79395),x79394),x79391)))
% 149.08/148.76 [8080]P29(x80801,x80802,x80803)+~P23(x80801,x80804,x80805)+~P29(x80801,x80802,f606(x80805,x80804,x80801,x80802))+~P103(f326(f326(f328(f871(x80801)),x80803),x80805))
% 149.08/148.76 [8148]~P105(x81484)+~P103(f326(f133(x81481),x81483))+P103(f326(f326(f328(x81481),x81482),f326(f168(x81481),x81483)))+P103(f326(f133(x81481),f326(f326(f144(x81481,x81484,x81485),x81482),x81483)))
% 149.08/148.76 [8296]~P65(x82961)+E(f326(f326(f22(x82961),f326(f326(f6(a872,x82961),x82962),f326(f296(a872,x82963),x82964))),f326(f326(f6(a872,x82961),x82962),f326(f296(a872,x82963),x82965))),f326(f326(f6(a872,x82961),x82962),f326(f296(a872,x82965),x82964)))+~P103(f326(f326(f240(a872),x82965),x82964))+~P103(f326(f326(f240(a872),x82963),x82965))
% 149.08/148.76 [8297]~P72(x82971)+E(f326(f326(f81(x82971),f326(f326(f6(a872,x82971),x82972),f326(f296(a872,x82973),x82974))),f326(f326(f6(a872,x82971),x82972),f326(f296(a872,x82974),x82975))),f326(f326(f6(a872,x82971),x82972),f326(f296(a872,x82973),x82975)))+~P103(f326(f326(f240(a872),x82974),x82975))+~P103(f326(f326(f240(a872),x82973),x82974))
% 149.08/148.76 [8628]~P60(x86282)+E(x86281,f2(x86282))+E(x86283,f2(x86282))+E(f326(f326(f284(x86282),f326(f326(f22(x86282),f326(f326(f82(x86282),x86284),x86281)),f326(f326(f82(x86282),x86285),x86283))),f326(f326(f82(x86282),x86283),x86281)),f326(f326(f22(x86282),f326(f326(f284(x86282),x86284),x86283)),f326(f326(f284(x86282),x86285),x86281)))
% 149.08/148.76 [8629]~P60(x86292)+E(x86291,f2(x86292))+E(x86293,f2(x86292))+E(f326(f326(f284(x86292),f326(f326(f81(x86292),f326(f326(f82(x86292),x86294),x86291)),f326(f326(f82(x86292),x86295),x86293))),f326(f326(f82(x86292),x86293),x86291)),f326(f326(f81(x86292),f326(f326(f284(x86292),x86294),x86293)),f326(f326(f284(x86292),x86295),x86291)))
% 149.08/148.76 [8638]~E(x86382,f326(x86383,x86381))+E(x86381,f553(x86382,x86383,x86384,x86385))+~P21(x86385,x86384,x86383,f249(f880(x86385,a866)))+~P103(f326(f326(f328(x86384),x86382),f326(f305(x86385,x86384,x86383),f249(f880(x86385,a866)))))
% 149.08/148.76 [8834]~P109(x88341)+~P103(f326(f326(f241(x88341),f326(f76(x88341),x88342)),x88344))+P103(f326(f326(f241(x88341),f326(f326(f82(x88341),f326(f76(x88341),x88342)),f326(f76(x88341),x88343))),f326(f326(f82(x88341),x88344),x88345)))+~P103(f326(f326(f241(x88341),f326(f76(x88341),x88343)),x88345))
% 149.08/148.76 [8851]~P23(x88511,x88515,x88514)+P29(x88511,x88512,x88513)+P103(f326(f326(f328(f871(x88511)),f606(x88514,x88515,x88511,x88512)),x88515))+~P103(f326(f326(f328(f871(x88511)),x88513),x88514))
% 149.08/148.76 [8956]~P21(x89561,x89563,x89565,x89562)+~P103(f326(f62(x89563),x89564))+P103(f326(f326(f240(a872),f326(f38(x89561),x89562)),f326(f38(x89563),x89564)))+~P103(f326(f326(f240(f880(x89563,a866)),f326(f305(x89561,x89563,x89565),x89562)),x89564))
% 149.08/148.76 [9025]~P72(x90252)+~P21(x90251,x90251,x90254,x90255)+~P103(f326(f62(x90251),x90255))+E(f326(f326(f6(x90251,x90252),f326(f74(x90251,x90252,x90251,x90253),x90254)),x90255),f326(f326(f6(x90251,x90252),x90253),f326(f305(x90251,x90251,x90254),x90255)))
% 149.08/148.76 [9026]~P73(x90262)+~P21(x90261,x90261,x90264,x90265)+~P103(f326(f62(x90261),x90265))+E(f326(f326(f9(x90261,x90262),f326(f74(x90261,x90262,x90261,x90263),x90264)),x90265),f326(f326(f9(x90261,x90262),x90263),f326(f305(x90261,x90261,x90264),x90265)))
% 149.08/148.76 [9140]~P37(x91401,x91402)+~P103(f326(f326(f328(x91401),x91403),x91404))+~P103(f326(f326(f328(x91401),x91405),x91404))+~P103(f326(f326(f328(f879(x91401,x91401)),f326(f326(f261(x91401,x91401),x91405),f641(x91402,x91401,x91404))),x91402))
% 149.08/148.76 [9178]~P21(x91782,x91783,x91785,x91781)+E(x91781,f190(f880(x91782,a866)))+E(f326(f305(x91783,x91782,f557(x91784,x91783,x91782,x91781)),x91784),x91781)+~P103(f326(f326(f240(f880(x91783,a866)),f326(f305(x91782,x91783,x91785),x91781)),x91784))
% 149.08/148.76 [9654]~P105(x96545)+~P26(x96545)+P103(f326(f326(f328(x96541),f834(x96542,x96543,x96541,x96544,x96545)),x96543))+~P103(f326(f326(f241(x96545),x96544),f326(f326(f42(x96541,x96545),x96543),x96542)))
% 149.08/148.76 [9659]~P105(x96591)+~P26(x96591)+P103(f326(f326(f241(x96591),x96592),f326(x96593,f834(x96593,x96594,x96595,x96592,x96591))))+~P103(f326(f326(f241(x96591),x96592),f326(f326(f42(x96595,x96591),x96594),x96593)))
% 149.08/148.76 [9736]~P69(x97361)+~P103(f326(f67(x97361,x97361,f82(x97361),x97362,x97363),x97365))+P103(f326(f326(f328(x97361),x97362),x97363))+P103(f326(f67(x97361,x97361,f82(x97361),x97364,f326(f326(f304(x97361),x97362),x97363)),f326(f326(f82(x97361),x97364),x97365)))
% 149.08/148.76 [9953]~P72(x99532)+~P103(f326(f62(x99531),x99535))+E(f326(f326(f6(x99531,x99532),f326(f326(f7(x99531,x99532,x99532),f326(f326(f18(x99531,x99532,f880(x99532,x99532)),f326(f326(f8(a866,f880(x99532,f880(x99532,x99532)),x99531),f101(x99532)),f326(a323,x99533))),x99534)),f2(x99532))),x99535),f2(x99532))+P103(f326(f326(f328(x99531),x99533),x99535))
% 149.08/148.76 [9954]~P73(x99542)+~P103(f326(f62(x99541),x99545))+E(f326(f326(f9(x99541,x99542),f326(f326(f7(x99541,x99542,x99542),f326(f326(f18(x99541,x99542,f880(x99542,x99542)),f326(f326(f8(a866,f880(x99542,f880(x99542,x99542)),x99541),f101(x99542)),f326(a323,x99543))),x99544)),f79(x99542))),x99545),f79(x99542))+P103(f326(f326(f328(x99541),x99543),x99545))
% 149.08/148.76 [9955]~P72(x99552)+~P103(f326(f62(x99551),x99555))+E(f326(f326(f6(x99551,x99552),f326(f326(f7(x99551,x99552,x99552),f326(f326(f18(x99551,x99552,f880(x99552,x99552)),f326(f326(f8(a866,f880(x99552,f880(x99552,x99552)),x99551),f101(x99552)),f326(a323,x99553))),x99554)),f2(x99552))),x99555),f326(x99554,x99553))+~P103(f326(f326(f328(x99551),x99553),x99555))
% 149.08/148.76 [9956]~P73(x99562)+~P103(f326(f62(x99561),x99565))+E(f326(f326(f9(x99561,x99562),f326(f326(f7(x99561,x99562,x99562),f326(f326(f18(x99561,x99562,f880(x99562,x99562)),f326(f326(f8(a866,f880(x99562,f880(x99562,x99562)),x99561),f101(x99562)),f326(a323,x99563))),x99564)),f79(x99562))),x99565),f326(x99564,x99563))+~P103(f326(f326(f328(x99561),x99563),x99565))
% 149.08/148.76 [10011]~P72(x100112)+~P103(f326(f62(x100111),x100115))+E(f326(f326(f6(x100111,x100112),f326(f326(f7(x100111,x100112,x100112),f326(f326(f18(x100111,x100112,f880(x100112,x100112)),f326(f326(f8(a866,f880(x100112,f880(x100112,x100112)),x100111),f101(x100112)),f326(f326(f7(x100111,x100111,a866),a323),x100113))),x100114)),f2(x100112))),x100115),f2(x100112))+P103(f326(f326(f328(x100111),x100113),x100115))
% 149.08/148.76 [10012]~P73(x100122)+~P103(f326(f62(x100121),x100125))+E(f326(f326(f9(x100121,x100122),f326(f326(f7(x100121,x100122,x100122),f326(f326(f18(x100121,x100122,f880(x100122,x100122)),f326(f326(f8(a866,f880(x100122,f880(x100122,x100122)),x100121),f101(x100122)),f326(f326(f7(x100121,x100121,a866),a323),x100123))),x100124)),f79(x100122))),x100125),f79(x100122))+P103(f326(f326(f328(x100121),x100123),x100125))
% 149.08/148.76 [10014]~P72(x100142)+~P103(f326(f62(x100141),x100145))+E(f326(f326(f6(x100141,x100142),f326(f326(f7(x100141,x100142,x100142),f326(f326(f18(x100141,x100142,f880(x100142,x100142)),f326(f326(f8(a866,f880(x100142,f880(x100142,x100142)),x100141),f101(x100142)),f326(f326(f7(x100141,x100141,a866),a323),x100143))),x100144)),f2(x100142))),x100145),f326(x100144,x100143))+~P103(f326(f326(f328(x100141),x100143),x100145))
% 149.08/148.76 [10015]~P73(x100152)+~P103(f326(f62(x100151),x100155))+E(f326(f326(f9(x100151,x100152),f326(f326(f7(x100151,x100152,x100152),f326(f326(f18(x100151,x100152,f880(x100152,x100152)),f326(f326(f8(a866,f880(x100152,f880(x100152,x100152)),x100151),f101(x100152)),f326(f326(f7(x100151,x100151,a866),a323),x100153))),x100154)),f79(x100152))),x100155),f326(x100154,x100153))+~P103(f326(f326(f328(x100151),x100153),x100155))
% 149.08/148.76 [7795]~P65(x77952)+~P103(f326(f62(x77951),x77954))+E(f326(f326(f6(x77951,x77952),x77953),f326(f326(f22(f880(x77951,a866)),x77954),f326(f326(f304(x77951),x77955),f190(f880(x77951,a866))))),f326(f326(f6(x77951,x77952),x77953),x77954))+P103(f326(f326(f328(x77951),x77955),x77954))
% 149.08/148.76 [8302]~P123(x83022)+~P103(f326(f62(x83021),x83024))+E(f326(f326(f6(x83021,x83022),x83023),f326(f326(f22(f880(x83021,a866)),x83024),f326(f326(f304(x83021),x83025),f190(f880(x83021,a866))))),f326(f326(f22(x83022),f326(f326(f6(x83021,x83022),x83023),x83024)),f326(x83023,x83025)))+~P103(f326(f326(f328(x83021),x83025),x83024))
% 149.08/148.76 [8303]~P65(x83032)+~P103(f326(f62(x83031),x83034))+E(f326(f326(f6(x83031,x83032),x83033),f326(f326(f22(f880(x83031,a866)),x83034),f326(f326(f304(x83031),x83035),f190(f880(x83031,a866))))),f326(f326(f22(x83032),f326(f326(f6(x83031,x83032),x83033),x83034)),f326(x83033,x83035)))+~P103(f326(f326(f328(x83031),x83035),x83034))
% 149.08/148.76 [8334]~P65(x83341)+~P103(f326(f62(x83342),x83344))+E(f326(f326(f22(x83341),f326(f326(f6(x83342,x83341),x83343),x83344)),f326(f326(f6(x83342,x83341),x83343),x83345)),f326(f326(f6(x83342,x83341),x83343),f326(f326(f22(f880(x83342,a866)),x83344),x83345)))+~P103(f326(f326(f240(f880(x83342,a866)),x83345),x83344))
% 149.08/148.76 [8355]P103(f326(f62(x83551),f326(x83552,x83553)))+~P103(f326(f62(x83554),x83555))+~P103(f326(f326(f328(x83554),x83553),x83555))+~P103(f326(f62(x83551),f326(f326(f42(x83554,f880(x83551,a866)),x83555),x83552)))
% 149.08/148.76 [8797]~P3(x87971,x87975,x87974)+~E(f326(f280(x87971,x87971,x87974),f326(f326(f304(x87971),x87972),f190(f880(x87971,a866)))),f326(f280(x87971,x87971,x87974),f326(f326(f304(x87971),x87973),f190(f880(x87971,a866)))))+~P103(f326(f326(f328(x87971),x87973),x87975))+P103(f326(f326(f328(f879(x87971,x87971)),f326(f326(f261(x87971,x87971),x87972),x87973)),x87974))
% 149.08/148.76 [9097]~P103(f326(x90971,x90975))+P103(f326(x90971,f474(x90971,x90972,x90973,x90974)))+P103(f326(x90971,f458(x90971,x90972,x90973,x90974)))+~P103(f326(f326(f328(x90974),x90975),f326(f326(f115(f880(x90974,a866)),x90973),x90972)))
% 149.08/148.76 [9281]~P103(f326(x92811,x92815))+P103(f326(x92811,f458(x92811,x92812,x92813,x92814)))+P103(f326(f326(f328(x92814),f474(x92811,x92812,x92813,x92814)),x92812))+~P103(f326(f326(f328(x92814),x92815),f326(f326(f115(f880(x92814,a866)),x92813),x92812)))
% 149.08/148.76 [9282]~P103(f326(x92821,x92825))+P103(f326(x92821,f474(x92821,x92822,x92823,x92824)))+P103(f326(f326(f328(x92824),f458(x92821,x92822,x92823,x92824)),x92823))+~P103(f326(f326(f328(x92824),x92825),f326(f326(f115(f880(x92824,a866)),x92823),x92822)))
% 149.08/148.76 [9288]P103(f326(x92881,x92882))+~P103(f326(x92881,f442(x92881,x92883,x92884,x92885)))+~P103(f326(x92881,f433(x92881,x92883,x92884,x92885)))+~P103(f326(f326(f328(x92885),x92882),f326(f326(f115(f880(x92885,a866)),x92884),x92883)))
% 149.08/148.76 [9330]E(x93301,x93302)+~P103(f326(f326(f328(f879(x93303,x93303)),f326(f326(f261(x93303,x93303),x93301),x93302)),f302(x93303,x93305)))+P103(f326(f326(f328(x93303),x93301),x93304))+~P103(f326(f326(f240(f880(f879(x93303,x93303),a866)),x93305),f326(f326(f263(x93303,x93303),x93304),f326(f16(f880(x93303,a866),x93303),x93304))))
% 149.08/148.76 [9349]P103(f326(x93491,x93492))+~P103(f326(x93491,f433(x93491,x93494,x93495,x93493)))+P103(f326(f326(f328(x93493),f442(x93491,x93494,x93495,x93493)),x93494))+~P103(f326(f326(f328(x93493),x93492),f326(f326(f115(f880(x93493,a866)),x93495),x93494)))
% 149.08/148.76 [9350]P103(f326(x93501,x93502))+~P103(f326(x93501,f442(x93501,x93504,x93505,x93503)))+P103(f326(f326(f328(x93503),f433(x93501,x93504,x93505,x93503)),x93505))+~P103(f326(f326(f328(x93503),x93502),f326(f326(f115(f880(x93503,a866)),x93505),x93504)))
% 149.08/148.76 [9411]P103(f326(x94111,x94112))+P103(f326(f326(f328(x94113),f442(x94111,x94114,x94115,x94113)),x94114))+P103(f326(f326(f328(x94113),f433(x94111,x94114,x94115,x94113)),x94115))+~P103(f326(f326(f328(x94113),x94112),f326(f326(f115(f880(x94113,a866)),x94115),x94114)))
% 149.08/148.76 [9413]~P103(f326(x94132,x94135))+P103(f326(f326(f328(x94131),f474(x94132,x94133,x94134,x94131)),x94133))+P103(f326(f326(f328(x94131),f458(x94132,x94133,x94134,x94131)),x94134))+~P103(f326(f326(f328(x94131),x94135),f326(f326(f115(f880(x94131,a866)),x94134),x94133)))
% 149.08/148.76 [9561]~P3(x95611,x95615,x95614)+~P103(f326(f326(f328(x95611),x95613),x95615))+P103(f326(f326(f328(f879(x95611,x95611)),f326(f326(f261(x95611,x95611),x95612),x95613)),x95614))+~P103(f326(f326(f240(f880(x95611,a866)),f326(f280(x95611,x95611,x95614),f326(f326(f304(x95611),x95613),f190(f880(x95611,a866))))),f326(f280(x95611,x95611,x95614),f326(f326(f304(x95611),x95612),f190(f880(x95611,a866))))))
% 149.08/148.76 [9684]~P105(x96845)+~P26(x96845)+P103(f326(f326(f328(x96841),f355(x96842,x96843,x96844,x96841,x96845)),x96844))+~P103(f326(f326(f241(x96845),f326(f326(f43(x96841,x96845),x96844),x96843)),x96842))
% 149.08/148.76 [9716]~P83(x97165)+~P81(x97165)+P103(f326(f326(f328(x97161),f717(x97162,x97163,x97164,x97161,x97165)),f326(f168(x97161),x97164)))+P103(f326(f326(f240(x97165),f326(f162(x97165),f326(f326(f150(x97161,x97165),x97163),x97164))),f326(f162(x97165),f326(f326(f150(x97161,x97165),x97162),x97164))))
% 149.08/148.76 [9831]~P105(x98311)+~P26(x98311)+P103(f326(f326(f241(x98311),f326(x98312,f355(x98313,x98312,x98314,x98315,x98311))),x98313))+~P103(f326(f326(f241(x98311),f326(f326(f43(x98315,x98311),x98314),x98312)),x98313))
% 149.08/148.76 [9971]~P83(x99711)+~P81(x99711)+~P103(f326(f326(f240(x99711),f326(x99713,f717(x99715,x99713,x99714,x99712,x99711))),f326(x99715,f717(x99715,x99713,x99714,x99712,x99711))))+P103(f326(f326(f240(x99711),f326(f162(x99711),f326(f326(f150(x99712,x99711),x99713),x99714))),f326(f162(x99711),f326(f326(f150(x99712,x99711),x99715),x99714))))
% 149.08/148.76 [8646]~P72(x86461)+~P103(f326(f62(x86464),x86465))+~P103(f326(f326(f328(x86464),x86463),x86465))+E(f326(f326(f81(x86461),f326(x86462,x86463)),f326(f326(f6(x86464,x86461),x86462),f326(f326(f22(f880(x86464,a866)),x86465),f326(f326(f304(x86464),x86463),f190(f880(x86464,a866)))))),f326(f326(f6(x86464,x86461),x86462),x86465))
% 149.08/148.76 [8647]~P73(x86471)+~P103(f326(f62(x86474),x86475))+~P103(f326(f326(f328(x86474),x86473),x86475))+E(f326(f326(f82(x86471),f326(x86472,x86473)),f326(f326(f9(x86474,x86471),x86472),f326(f326(f22(f880(x86474,a866)),x86475),f326(f326(f304(x86474),x86473),f190(f880(x86474,a866)))))),f326(f326(f9(x86474,x86471),x86472),x86475))
% 149.08/148.76 [8702]~P14(x87021,x87024,x87025)+~P103(f326(f62(x87021),x87022))+E(f326(f326(f22(f880(x87021,a866)),x87022),f326(f326(f304(x87021),x87023),f190(f880(x87021,a866)))),f190(f880(x87021,a866)))+E(f326(f326(x87024,x87023),f326(x87025,f326(f326(f22(f880(x87021,a866)),x87022),f326(f326(f304(x87021),x87023),f190(f880(x87021,a866)))))),f326(x87025,f326(f326(f304(x87021),x87023),x87022)))
% 149.08/148.76 [9077]~P72(x90771)+~P103(f326(f62(x90772),x90775))+~P103(f326(f62(x90772),x90774))+E(f326(f326(f81(x90771),f326(f326(f6(x90772,x90771),x90773),f326(f326(f115(f880(x90772,a866)),x90774),x90775))),f326(f326(f6(x90772,x90771),x90773),f326(f326(f106(f880(x90772,a866)),x90774),x90775))),f326(f326(f81(x90771),f326(f326(f6(x90772,x90771),x90773),x90774)),f326(f326(f6(x90772,x90771),x90773),x90775)))
% 149.08/148.76 [9079]~P73(x90791)+~P103(f326(f62(x90792),x90795))+~P103(f326(f62(x90792),x90794))+E(f326(f326(f82(x90791),f326(f326(f9(x90792,x90791),x90793),f326(f326(f115(f880(x90792,a866)),x90794),x90795))),f326(f326(f9(x90792,x90791),x90793),f326(f326(f106(f880(x90792,a866)),x90794),x90795))),f326(f326(f82(x90791),f326(f326(f9(x90792,x90791),x90793),x90794)),f326(f326(f9(x90792,x90791),x90793),x90795)))
% 149.08/148.76 [9220]~P65(x92201)+~P103(f326(f62(x92202),x92205))+~P103(f326(f62(x92202),x92204))+E(f326(f326(f22(x92201),f326(f326(f81(x92201),f326(f326(f6(x92202,x92201),x92203),x92204)),f326(f326(f6(x92202,x92201),x92203),x92205))),f326(f326(f6(x92202,x92201),x92203),f326(f326(f106(f880(x92202,a866)),x92204),x92205))),f326(f326(f6(x92202,x92201),x92203),f326(f326(f115(f880(x92202,a866)),x92204),x92205)))
% 149.08/148.76 [9422]~P21(x94221,x94222,x94223,x94225)+~P21(x94221,x94222,x94223,x94224)+P21(x94221,x94222,x94223,f326(f326(f115(f880(x94221,a866)),x94224),x94225))+~E(f326(f326(f106(f880(x94222,a866)),f326(f305(x94221,x94222,x94223),f326(f326(f22(f880(x94221,a866)),x94224),x94225))),f326(f305(x94221,x94222,x94223),f326(f326(f22(f880(x94221,a866)),x94225),x94224))),f190(f880(x94222,a866)))
% 149.08/148.76 [9536]E(x95361,f2(a1))+~P103(f326(f326(f241(a1),f2(a1)),x95363))+~P103(f326(f49(x95362,x95361),f326(f326(f261(a1,a1),x95364),x95365)))+P103(f326(f49(x95362,f326(f326(f82(a1),x95361),x95363)),f326(f326(f261(a1,a1),f326(f326(f39(a1),x95364),x95363)),f326(f326(f81(a1),f326(f326(f82(a1),x95361),f45(a1,x95364,x95363))),x95365))))
% 149.08/148.76 [9544]~P103(f326(f326(f241(a872),f2(a872)),x95443))+~P103(f326(f326(f241(a872),f2(a872)),x95442))+~P103(f326(f48(x95441,x95442),f326(f326(f261(a872,a872),x95444),x95445)))+P103(f326(f48(x95441,f326(f326(f82(a872),x95442),x95443)),f326(f326(f261(a872,a872),f326(f326(f39(a872),x95444),x95443)),f326(f326(f81(a872),f326(f326(f82(a872),x95442),f45(a872,x95444,x95443))),x95445))))
% 149.08/148.76 [9593]~P73(x95931)+~P103(f326(f62(x95932),x95935))+~P103(f326(f62(x95932),x95934))+E(f326(f326(f82(x95931),f326(f326(f326(f66(x95931,x95932,f82(x95931)),x95933),f79(x95931)),f326(f326(f115(f880(x95932,a866)),x95934),x95935))),f326(f326(f326(f66(x95931,x95932,f82(x95931)),x95933),f79(x95931)),f326(f326(f106(f880(x95932,a866)),x95934),x95935))),f326(f326(f82(x95931),f326(f326(f326(f66(x95931,x95932,f82(x95931)),x95933),f79(x95931)),x95934)),f326(f326(f326(f66(x95931,x95932,f82(x95931)),x95933),f79(x95931)),x95935)))
% 149.08/148.76 [9595]~E(f326(f326(f171(x95951),x95955),x95952),f326(f326(f171(x95951),x95955),x95953))+P103(f326(f326(f328(f879(f873(x95951),f873(x95951))),f326(f326(f261(f873(x95951),f873(x95951)),x95952),x95953)),f143(x95951,x95954)))+~P103(f326(f326(f241(a872),x95955),f326(f326(f238(a872),f326(f191(f873(x95951)),x95952)),f326(f191(f873(x95951)),x95953))))+~P103(f326(f326(f328(f879(x95951,x95951)),f326(f326(f261(x95951,x95951),f326(f326(f161(x95951),x95952),x95955)),f326(f326(f161(x95951),x95953),x95955))),x95954))
% 149.08/148.76 [9704]~P83(x97045)+~P142(x97045)+P103(f326(f326(f328(x97041),f378(x97042,x97043,x97044,x97041,x97045)),x97044))+P103(f326(f326(f240(x97045),f326(f326(f6(x97041,x97045),x97043),x97044)),f326(f326(f82(x97045),f326(f105(x97045),f326(f38(x97041),x97044))),x97042)))
% 149.08/148.76 [9899]~P83(x98991)+~P142(x98991)+~P103(f326(f326(f240(x98991),f326(x98993,f378(x98995,x98993,x98994,x98992,x98991))),x98995))+P103(f326(f326(f240(x98991),f326(f326(f6(x98992,x98991),x98993),x98994)),f326(f326(f82(x98991),f326(f105(x98991),f326(f38(x98992),x98994))),x98995)))
% 149.08/148.76 [8674]E(f326(f326(f126(x86741),x86742),x86743),f326(f326(f126(x86741),x86744),x86745))+~E(f326(f326(f171(x86741),f326(f191(f873(x86741)),x86742)),x86744),x86742)+~E(f326(f326(f126(x86741),f326(f326(f134(x86741),f326(f191(f873(x86741)),x86742)),x86744)),x86745),x86743)+P103(f326(f326(f240(a872),f326(f191(f873(x86741)),x86744)),f326(f191(f873(x86741)),x86742)))
% 149.08/148.76 [8795]E(f326(f326(f126(x87951),x87952),x87953),f326(f326(f126(x87951),x87954),x87955))+~E(f326(f326(f171(x87951),f326(f191(f873(x87951)),x87952)),x87954),x87952)+~E(x87953,f326(f326(f126(x87951),f326(f326(f134(x87951),f326(f191(f873(x87951)),x87952)),x87954)),x87955))+~P103(f326(f326(f240(a872),f326(f191(f873(x87951)),x87952)),f326(f191(f873(x87951)),x87954)))
% 149.08/148.76 [10033]~P103(f326(x100335,x100334))+~P103(f326(f62(x100332),f326(f246(x100332),x100335)))+P103(f326(f62(x100331),f326(f246(x100331),f326(f326(f7(x100331,x100332,a866),x100333),x100334))))+~P103(f326(f62(x100331),f326(f246(x100331),f326(f326(f8(f880(x100332,a866),a866,x100331),f88(x100332)),f326(f326(f8(f880(x100332,a866),f880(x100332,a866),x100331),f326(f18(x100332,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100332),a324),x100335))),x100333)))))
% 149.08/148.76 [8470]~P15(x84705,x84701,x84706,x84702)+E(f326(f74(x84701,x84701,x84701,f326(x84702,x84703)),f326(x84702,x84704)),f326(f74(x84701,x84701,x84701,f326(x84702,x84704)),f326(x84702,x84703)))+~P103(f326(f62(x84705),x84704))+~P103(f326(f62(x84705),x84703))
% 149.08/148.76 [7850]~P21(x78501,x78502,x78504,x78503)+~E(f326(x78504,x78506),x78505)+E(f326(f78(x78501,x78502,x78503,x78504),x78505),x78506)+~P103(f326(f326(f328(x78501),x78506),x78503))
% 149.08/148.76 [8049]~P16(x80496,x80491,x80494,x80492)+E(f326(f74(x80491,x80491,x80491,f326(x80492,x80493)),f326(x80494,x80495)),f326(x80492,x80493))+~P103(f326(f62(x80496),x80493))+~P103(f326(f326(f328(x80496),x80495),x80493))
% 149.08/148.76 [9267]~P15(x92673,x92671,x92676,x92672)+E(f326(f74(x92671,x92671,x92671,f326(x92672,f326(f326(f22(f880(x92673,a866)),x92674),f326(f326(f304(x92673),x92675),f190(f880(x92673,a866)))))),f326(x92676,x92675)),f326(x92672,x92674))+~P103(f326(f62(x92673),x92674))+~P103(f326(f326(f328(x92673),x92675),x92674))
% 149.08/148.76 [6932]~P57(x69321)+~E(f45(x69321,x69323,x69324),f45(x69321,x69326,x69324))+~E(f45(x69321,x69322,x69324),f45(x69321,x69325,x69324))+E(f45(x69321,f326(f326(f22(x69321),x69322),x69323),x69324),f45(x69321,f326(f326(f22(x69321),x69325),x69326),x69324))
% 149.08/148.76 [6933]~P56(x69331)+~E(f45(x69331,x69333,x69334),f45(x69331,x69336,x69334))+~E(f45(x69331,x69332,x69334),f45(x69331,x69335,x69334))+E(f45(x69331,f326(f326(f81(x69331),x69332),x69333),x69334),f45(x69331,f326(f326(f81(x69331),x69335),x69336),x69334))
% 149.08/148.76 [6934]~P56(x69341)+~E(f45(x69341,x69343,x69344),f45(x69341,x69346,x69344))+~E(f45(x69341,x69342,x69344),f45(x69341,x69345,x69344))+E(f45(x69341,f326(f326(f82(x69341),x69342),x69343),x69344),f45(x69341,f326(f326(f82(x69341),x69345),x69346),x69344))
% 149.08/148.76 [7746]~P12(x77461,x77462,x77463)+~P103(f326(f62(x77461),x77466))+E(f326(f326(f65(x77461,x77462,x77463),x77464),f326(f326(f304(x77461),x77465),x77466)),f326(f326(f65(x77461,x77462,x77463),f326(f326(x77463,x77465),x77464)),x77466))+P103(f326(f326(f328(x77461),x77465),x77466))
% 149.08/148.76 [7808]~P26(x78081)+P103(f326(f326(f240(x78081),x78082),f326(x78083,x78084)))+~P103(f326(f326(f328(x78085),x78084),x78086))+~P103(f326(f326(f240(x78081),x78082),f326(f326(f43(x78085,x78081),x78086),x78083)))
% 149.08/148.76 [7968]~P12(x79681,x79682,x79683)+~P103(f326(f62(x79681),x79686))+E(f326(f326(f65(x79681,x79682,x79683),x79684),f326(f326(f304(x79681),x79685),x79686)),f326(f326(x79683,x79685),f326(f326(f65(x79681,x79682,x79683),x79684),x79686)))+P103(f326(f326(f328(x79681),x79685),x79686))
% 149.08/148.76 [8065]~P105(x80653)+~P103(f326(x80652,x80655))+~P28(x80653,f326(f326(f150(x80651,x80653),x80654),x80656))+E(f326(f132(x80651,x80652),f326(f326(f144(x80651,x80653,x80654),x80655),x80656)),f326(f326(f144(x80651,x80653,x80654),x80655),f326(f132(x80651,x80652),x80656)))
% 149.08/148.76 [8088]E(x80881,x80882)+E(x80883,f2(a1))+~P103(f326(f49(x80884,x80883),f326(f326(f261(a1,a1),x80885),x80882)))+~P103(f326(f49(x80884,x80883),f326(f326(f261(a1,a1),x80886),x80881)))
% 149.08/148.76 [8089]E(x80891,x80892)+E(x80893,f2(a1))+~P103(f326(f49(x80894,x80893),f326(f326(f261(a1,a1),x80892),x80895)))+~P103(f326(f49(x80894,x80893),f326(f326(f261(a1,a1),x80891),x80896)))
% 149.08/148.76 [8109]~P15(x81092,x81095,x81096,x81091)+~P103(f326(f62(x81092),x81094))+E(f326(x81091,f326(f326(f304(x81092),x81093),x81094)),f326(f74(x81095,x81095,x81095,f326(x81091,x81094)),f326(x81096,x81093)))+P103(f326(f326(f328(x81092),x81093),x81094))
% 149.08/148.76 [8337]~P16(x83375,x83371,x83376,x83372)+E(f326(f74(x83371,x83371,x83371,f326(x83372,x83373)),f326(x83372,x83374)),f326(x83372,x83373))+~P103(f326(f62(x83375),x83373))+~P103(f326(f326(f240(f880(x83375,a866)),x83374),x83373))
% 149.08/148.76 [9468]~P21(x94681,x94682,x94684,x94683)+~P103(f326(f326(f328(x94682),x94685),f326(f305(x94681,x94682,x94684),x94683)))+P103(f326(f326(f328(x94681),f326(f78(x94681,x94682,x94683,x94684),x94685)),x94686))+~P103(f326(f326(f240(f880(x94681,a866)),x94683),x94686))
% 149.08/148.76 [9844]~P72(x98442)+~E(f619(x98441,x98443,x98445,x98446,x98444,x98442),f618(x98441,x98443,x98445,x98446,x98444,x98442))+~P103(f326(f62(x98444),x98446))+E(f326(f326(f6(x98441,x98442),x98443),f326(f305(x98444,x98441,x98445),x98446)),f326(f326(f6(x98444,x98442),f326(f74(x98441,x98442,x98444,x98443),x98445)),x98446))
% 149.08/148.76 [9881]~P72(x98816)+E(f326(x98811,f619(x98812,x98813,x98811,x98814,x98815,x98816)),f326(x98811,f618(x98812,x98813,x98811,x98814,x98815,x98816)))+E(f326(f326(f6(x98812,x98816),x98813),f326(f305(x98815,x98812,x98811),x98814)),f326(f326(f6(x98815,x98816),f326(f74(x98812,x98816,x98815,x98813),x98811)),x98814))+~P103(f326(f62(x98815),x98814))
% 149.08/148.76 [9921]~P72(x99212)+~E(f326(x99213,f326(x99215,f618(x99211,x99213,x99215,x99216,x99214,x99212))),f2(x99212))+~P103(f326(f62(x99214),x99216))+E(f326(f326(f6(x99211,x99212),x99213),f326(f305(x99214,x99211,x99215),x99216)),f326(f326(f6(x99214,x99212),f326(f74(x99211,x99212,x99214,x99213),x99215)),x99216))
% 149.08/148.76 [9979]~P72(x99792)+~P103(f326(f62(x99794),x99796))+E(f326(f326(f6(x99791,x99792),x99793),f326(f305(x99794,x99791,x99795),x99796)),f326(f326(f6(x99794,x99792),f326(f74(x99791,x99792,x99794,x99793),x99795)),x99796))+P103(f326(f326(f328(x99794),f618(x99791,x99793,x99795,x99796,x99794,x99792)),x99796))
% 149.08/148.76 [9980]~P72(x99802)+~P103(f326(f62(x99804),x99806))+E(f326(f326(f6(x99801,x99802),x99803),f326(f305(x99804,x99801,x99805),x99806)),f326(f326(f6(x99804,x99802),f326(f74(x99801,x99802,x99804,x99803),x99805)),x99806))+P103(f326(f326(f328(x99804),f619(x99801,x99803,x99805,x99806,x99804,x99802)),x99806))
% 149.08/148.76 [10092]~P73(x100921)+~P103(f326(f62(x100922),x100926))+E(f326(f326(f326(f66(x100921,x100922,f82(x100921)),f326(f326(f18(x100922,f880(x100923,a866),x100921),f326(f326(f7(x100922,x100921,f880(f880(x100923,a866),x100921)),f326(f326(f8(f880(x100923,x100921),f880(x100921,f880(f880(x100923,a866),x100921)),x100922),f66(x100921,x100923,f82(x100921))),x100924)),f79(x100921))),x100925)),f79(x100921)),x100926),f326(f326(f326(f66(x100921,f879(x100922,x100923),f82(x100921)),f326(f265(x100922,x100923,x100921),x100924)),f79(x100921)),f326(f326(f263(x100922,x100923),x100926),x100925)))+P103(f326(f326(f328(x100922),f580(x100924,x100925,x100923,x100926,x100922,x100921)),x100926))
% 149.08/148.76 [10110]~P73(x101101)+~P103(f326(f62(x101102),x101106))+E(f326(f326(f326(f66(x101101,x101102,f82(x101101)),f326(f326(f18(x101102,f880(x101103,a866),x101101),f326(f326(f7(x101102,x101101,f880(f880(x101103,a866),x101101)),f326(f326(f8(f880(x101103,x101101),f880(x101101,f880(f880(x101103,a866),x101101)),x101102),f66(x101101,x101103,f82(x101101))),x101104)),f79(x101101))),x101105)),f79(x101101)),x101106),f326(f326(f326(f66(x101101,f879(x101102,x101103),f82(x101101)),f326(f265(x101102,x101103,x101101),x101104)),f79(x101101)),f326(f326(f263(x101102,x101103),x101106),x101105)))+~P103(f326(f62(x101103),f326(x101105,f580(x101104,x101105,x101103,x101106,x101102,x101101))))
% 149.08/148.76 [8249]~P16(x82492,x82495,x82496,x82491)+~P103(f326(f62(x82492),x82494))+~P103(f326(f62(x82492),x82493))+E(f326(x82491,f326(f326(f115(f880(x82492,a866)),x82493),x82494)),f326(f74(x82495,x82495,x82495,f326(x82491,x82493)),f326(x82491,x82494)))
% 149.08/148.76 [8471]~P26(x84711)+P103(f326(f326(f240(x84711),f326(x84712,x84713)),x84714))+~P103(f326(f326(f328(x84715),x84713),x84716))+~P103(f326(f326(f240(x84711),f326(f326(f42(x84715,x84711),x84716),x84712)),x84714))
% 149.08/148.76 [8875]~P21(x88752,x88751,x88753,x88756)+E(f326(f326(f22(f880(x88751,a866)),f326(f305(x88752,x88751,x88753),x88754)),f326(f305(x88752,x88751,x88753),x88755)),f326(f305(x88752,x88751,x88753),f326(f326(f22(f880(x88752,a866)),x88754),x88755)))+~P103(f326(f326(f240(f880(x88752,a866)),x88755),x88756))+~P103(f326(f326(f240(f880(x88752,a866)),x88754),x88756))
% 149.08/148.76 [8876]~P21(x88762,x88761,x88763,x88766)+E(f326(f326(f106(f880(x88761,a866)),f326(f305(x88762,x88761,x88763),x88764)),f326(f305(x88762,x88761,x88763),x88765)),f326(f305(x88762,x88761,x88763),f326(f326(f106(f880(x88762,a866)),x88764),x88765)))+~P103(f326(f326(f240(f880(x88762,a866)),x88765),x88766))+~P103(f326(f326(f240(f880(x88762,a866)),x88764),x88766))
% 149.08/148.76 [8914]~P103(f326(x89141,x89143))+~P103(f326(f326(f326(f326(a199,x89142),x89143),x89144),x89146))+~P103(f326(f326(f326(f326(a199,f33(x89141,x89142)),x89146),x89144),x89145))+P103(f326(f326(f326(f326(a199,f33(x89141,x89142)),x89143),x89144),x89145))
% 149.08/148.76 [9142]E(x91421,x91422)+~P50(x91423,x91424,x91425)+~P103(f326(f326(f328(f879(x91423,x91424)),f326(f326(f261(x91423,x91424),x91426),x91422)),x91425))+~P103(f326(f326(f328(f879(x91423,x91424)),f326(f326(f261(x91423,x91424),x91426),x91421)),x91425))
% 149.08/148.76 [9916]~P69(x99161)+~E(f326(x99163,f512(x99164,x99166,x99163,x99165,x99162,x99161)),f326(x99166,f512(x99164,x99166,x99163,x99165,x99162,x99161)))+~P103(f326(f62(x99162),x99165))+E(f326(f326(f326(f66(x99161,x99162,f82(x99161)),x99163),x99164),x99165),f326(f326(f326(f66(x99161,x99162,f82(x99161)),x99166),x99164),x99165))
% 149.08/148.76 [9977]~P69(x99771)+~P103(f326(f62(x99772),x99775))+E(f326(f326(f326(f66(x99771,x99772,f82(x99771)),x99773),x99774),x99775),f326(f326(f326(f66(x99771,x99772,f82(x99771)),x99776),x99774),x99775))+P103(f326(f326(f328(x99772),f512(x99774,x99773,x99776,x99775,x99772,x99771)),x99775))
% 149.08/148.76 [8687]~P69(x86871)+~P103(f326(f62(x86872),x86876))+P103(f326(f326(f328(x86872),x86875),x86876))+E(f326(f326(f326(f66(x86871,x86872,f82(x86871)),x86873),x86874),f326(f326(f304(x86872),x86875),x86876)),f326(f326(f82(x86871),f326(x86873,x86875)),f326(f326(f326(f66(x86871,x86872,f82(x86871)),x86873),x86874),x86876)))
% 149.08/148.76 [8733]~P3(x87331,x87336,x87333)+~P9(x87331,f880(x87332,a866),x87333,x87335)+~P103(f326(f326(f328(x87331),x87334),x87336))+E(f326(f326(f42(x87331,f880(x87332,a866)),f326(f280(x87331,x87331,x87333),f326(f326(f304(x87331),x87334),f190(f880(x87331,a866))))),x87335),f326(x87335,x87334))
% 149.08/148.76 [8852]~P12(x88523,x88524,x88521)+~P103(f326(f62(x88523),x88526))+~P103(f326(f326(f328(x88523),x88522),x88526))+E(f326(f326(x88521,x88522),f326(f326(f65(x88523,x88524,x88521),x88525),f326(f326(f22(f880(x88523,a866)),x88526),f326(f326(f304(x88523),x88522),f190(f880(x88523,a866)))))),f326(f326(f65(x88523,x88524,x88521),x88525),x88526))
% 149.08/148.76 [9155]~P15(x91553,x91551,x91556,x91552)+~P103(f326(f62(x91553),x91555))+~P103(f326(f62(x91553),x91554))+E(f326(f74(x91551,x91551,x91551,f326(x91552,f326(f326(f115(f880(x91553,a866)),x91554),x91555))),f326(x91552,f326(f326(f106(f880(x91553,a866)),x91554),x91555))),f326(f74(x91551,x91551,x91551,f326(x91552,x91554)),f326(x91552,x91555)))
% 149.08/148.76 [9488]~E(x94883,f326(f326(f155(x94881,x94882),x94885),x94886))+P103(f326(f326(f328(f879(f873(x94881),f873(x94881))),f326(f326(f261(f873(x94881),f873(x94881)),x94882),x94883)),f153(x94881,x94884)))+~P103(f326(f326(f241(a872),x94885),f326(f191(f873(x94881)),x94882)))+~P103(f326(f326(f328(f879(x94881,x94881)),f326(f326(f261(x94881,x94881),f326(f326(f161(x94881),x94882),x94885)),x94886)),x94884))
% 149.08/148.76 [9990]~P72(x99902)+~P103(f326(f62(x99901),x99906))+P103(f326(f326(f328(x99901),f578(x99904,x99905,x99903,x99906,x99901,x99902)),x99906))+E(f326(f326(f6(x99901,x99902),f326(f326(f18(x99901,f880(x99903,a866),x99902),f326(f326(f8(f880(x99903,x99902),f880(f880(x99903,a866),x99902),x99901),f6(x99903,x99902)),x99904)),x99905)),x99906),f326(f326(f6(f879(x99901,x99903),x99902),f326(f265(x99901,x99903,x99902),x99904)),f326(f326(f263(x99901,x99903),x99906),x99905)))
% 149.08/148.76 [9991]~P73(x99912)+~P103(f326(f62(x99911),x99916))+P103(f326(f326(f328(x99911),f579(x99914,x99915,x99913,x99916,x99911,x99912)),x99916))+E(f326(f326(f9(x99911,x99912),f326(f326(f18(x99911,f880(x99913,a866),x99912),f326(f326(f8(f880(x99913,x99912),f880(f880(x99913,a866),x99912),x99911),f9(x99913,x99912)),x99914)),x99915)),x99916),f326(f326(f9(f879(x99911,x99913),x99912),f326(f265(x99911,x99913,x99912),x99914)),f326(f326(f263(x99911,x99913),x99916),x99915)))
% 149.08/148.76 [10030]~P72(x100302)+~P103(f326(f62(x100301),x100306))+~P103(f326(f62(x100303),f326(x100305,f578(x100304,x100305,x100303,x100306,x100301,x100302))))+E(f326(f326(f6(x100301,x100302),f326(f326(f18(x100301,f880(x100303,a866),x100302),f326(f326(f8(f880(x100303,x100302),f880(f880(x100303,a866),x100302),x100301),f6(x100303,x100302)),x100304)),x100305)),x100306),f326(f326(f6(f879(x100301,x100303),x100302),f326(f265(x100301,x100303,x100302),x100304)),f326(f326(f263(x100301,x100303),x100306),x100305)))
% 149.08/148.76 [10031]~P73(x100312)+~P103(f326(f62(x100311),x100316))+~P103(f326(f62(x100313),f326(x100315,f579(x100314,x100315,x100313,x100316,x100311,x100312))))+E(f326(f326(f9(x100311,x100312),f326(f326(f18(x100311,f880(x100313,a866),x100312),f326(f326(f8(f880(x100313,x100312),f880(f880(x100313,a866),x100312),x100311),f9(x100313,x100312)),x100314)),x100315)),x100316),f326(f326(f9(f879(x100311,x100313),x100312),f326(f265(x100311,x100313,x100312),x100314)),f326(f326(f263(x100311,x100313),x100316),x100315)))
% 149.08/148.76 [10013]~P73(x100132)+~P103(f326(f62(x100131),x100136))+P103(f326(f326(f328(x100131),x100133),x100136))+E(f326(f326(f9(x100131,x100132),f326(f326(f7(x100131,x100132,x100132),f326(f326(f18(x100131,x100132,f880(x100132,x100132)),f326(f326(f8(a866,f880(x100132,f880(x100132,x100132)),x100131),f101(x100132)),f326(f326(f7(x100131,x100131,a866),a323),x100133))),x100134)),x100135)),x100136),f326(f326(f251(x100132),x100135),f326(f38(x100131),x100136)))
% 149.08/148.76 [10018]~P73(x100182)+~P103(f326(f62(x100181),x100186))+~P103(f326(f326(f328(x100181),x100183),x100186))+E(f326(f326(f9(x100181,x100182),f326(f326(f7(x100181,x100182,x100182),f326(f326(f18(x100181,x100182,f880(x100182,x100182)),f326(f326(f8(a866,f880(x100182,f880(x100182,x100182)),x100181),f101(x100182)),f326(f326(f7(x100181,x100181,a866),a323),x100183))),x100184)),x100185)),x100186),f326(f326(f82(x100182),f326(x100184,x100183)),f326(f326(f251(x100182),x100185),f326(f326(f22(a872),f326(f38(x100181),x100186)),f79(a872)))))
% 149.08/148.76 [10085]~P103(f326(f62(x100851),x100855))+~P103(f326(f62(x100852),x100853))+P103(f326(f326(f328(x100852),f440(x100856,x100854,x100853,x100852,x100855,x100851)),x100853))+E(f326(f326(f6(x100851,a872),f326(f326(f8(f880(x100852,a866),a872,x100851),f38(x100852)),f326(f326(f8(f880(x100852,a866),f880(x100852,a866),x100851),f246(x100852)),f326(f326(f8(f880(x100852,a866),f880(x100852,a866),x100851),f326(f18(x100852,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100852),a324),f326(f326(f7(x100852,f880(x100852,a866),a866),f328(x100852)),x100853)))),x100854)))),x100855),f326(f326(f82(a872),x100856),f326(f38(x100852),x100853)))
% 149.08/148.76 [10086]~P103(f326(f62(x100861),x100865))+~P103(f326(f62(x100862),x100863))+P103(f326(f326(f328(x100862),f441(x100866,x100864,x100863,x100862,x100865,x100861)),x100863))+E(f326(f326(f6(x100861,a872),f326(f326(f8(f880(x100862,a866),a872,x100861),f38(x100862)),f326(f326(f8(f880(x100862,a866),f880(x100862,a866),x100861),f246(x100862)),f326(f326(f8(f880(x100862,a866),f880(x100862,a866),x100861),f326(f18(x100862,a866,a866),f326(f326(f8(a866,f880(a866,a866),x100862),a324),f326(f326(f7(x100862,f880(x100862,a866),a866),f328(x100862)),x100863)))),x100864)))),x100865),f326(f326(f6(x100862,a872),x100866),x100863))
% 149.08/148.76 [10116]~P103(f326(f62(x101162),x101163))+~P103(f326(f62(x101161),x101165))+~E(f326(f38(x101161),f326(f246(x101161),f326(f326(f18(x101161,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101161),a324),f326(f326(f7(x101161,f880(x101161,a866),a866),f328(x101161)),x101165))),f326(f326(f7(x101161,x101162,a866),x101164),f440(x101166,x101164,x101163,x101162,x101165,x101161))))),x101166)+E(f326(f326(f6(x101161,a872),f326(f326(f8(f880(x101162,a866),a872,x101161),f38(x101162)),f326(f326(f8(f880(x101162,a866),f880(x101162,a866),x101161),f246(x101162)),f326(f326(f8(f880(x101162,a866),f880(x101162,a866),x101161),f326(f18(x101162,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101162),a324),f326(f326(f7(x101162,f880(x101162,a866),a866),f328(x101162)),x101163)))),x101164)))),x101165),f326(f326(f82(a872),x101166),f326(f38(x101162),x101163)))
% 149.08/148.76 [10118]~P103(f326(f62(x101182),x101183))+~P103(f326(f62(x101181),x101185))+~E(f326(f38(x101181),f326(f246(x101181),f326(f326(f18(x101181,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101181),a324),f326(f326(f7(x101181,f880(x101181,a866),a866),f328(x101181)),x101185))),f326(f326(f7(x101181,x101182,a866),x101184),f441(x101186,x101184,x101183,x101182,x101185,x101181))))),f326(x101186,f441(x101186,x101184,x101183,x101182,x101185,x101181)))+E(f326(f326(f6(x101181,a872),f326(f326(f8(f880(x101182,a866),a872,x101181),f38(x101182)),f326(f326(f8(f880(x101182,a866),f880(x101182,a866),x101181),f246(x101182)),f326(f326(f8(f880(x101182,a866),f880(x101182,a866),x101181),f326(f18(x101182,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101182),a324),f326(f326(f7(x101182,f880(x101182,a866),a866),f328(x101182)),x101183)))),x101184)))),x101185),f326(f326(f6(x101182,a872),x101186),x101183))
% 149.08/148.76 [9771]E(x97711,x97712)+~P12(x97713,x97714,x97715)+~P103(f326(f67(x97713,x97714,x97715,x97716,x97717),x97712))+~P103(f326(f67(x97713,x97714,x97715,x97716,x97717),x97711))
% 149.08/148.76 [9564]P103(f326(x95641,x95642))+~P103(f326(f326(f328(x95647),x95642),f326(x95646,x95644)))+~P103(f326(x95641,f651(x95641,x95646,x95645,x95643,x95647)))+~P103(f326(f326(f328(x95643),x95644),x95645))
% 149.08/148.76 [10005]~P12(x100057,x100056,x100051)+E(f326(f326(x100051,x100052),f850(x100052,x100053,x100054,x100055,x100051,x100056,x100057)),x100053)+~P103(f326(f67(x100057,x100056,x100051,x100055,x100054),x100053))+~P103(f326(f326(f328(x100057),x100052),x100054))
% 149.08/148.76 [10070]~P12(x100701,x100702,x100703)+~P103(f326(f67(x100701,x100702,x100703,x100704,x100705),x100707))+P103(f326(f67(x100701,x100702,x100703,x100704,f326(f326(f22(f880(x100701,a866)),x100705),f326(f326(f304(x100701),x100706),f190(f880(x100701,a866))))),f850(x100706,x100707,x100705,x100704,x100703,x100702,x100701)))+~P103(f326(f326(f328(x100701),x100706),x100705))
% 149.08/148.76 [9464]~P69(x94641)+~P21(x94645,x94642,x94646,x94647)+~P103(f326(f62(x94645),x94647))+E(f326(f326(f326(f66(x94641,x94642,f82(x94641)),x94643),x94644),f326(f305(x94645,x94642,x94646),x94647)),f326(f326(f326(f66(x94641,x94645,f82(x94641)),f326(f74(x94642,x94641,x94645,x94643),x94646)),x94644),x94647))
% 149.08/148.76 [9588]~E(f326(f326(f304(x95881),x95885),x95886),f326(f326(f304(x95881),x95882),x95883))+~P103(f326(f67(x95881,x95881,x95884,x95882,x95883),x95887))+P103(f326(f326(f328(x95881),x95882),x95883))+P103(f326(f63(x95881,x95884,f326(f326(f304(x95881),x95885),x95886)),x95887))
% 149.08/148.76 [9671]P103(f326(x96711,x96712))+~P103(f326(f326(f328(x96713),x96712),f326(x96714,x96717)))+~P103(f326(f326(f328(x96716),x96717),x96715))+P103(f326(f326(f328(x96713),f651(x96711,x96714,x96715,x96716,x96713)),f326(f326(f42(x96716,f880(x96713,a866)),x96715),x96714)))
% 149.08/148.76 [9685]~P21(x96852,x96851,x96855,x96854)+~P21(x96851,x96853,x96856,f326(f305(x96852,x96851,x96855),x96854))+E(f326(f326(f74(x96851,x96852,x96853,f78(x96852,x96851,x96854,x96855)),f78(x96851,x96853,f326(f305(x96852,x96851,x96855),x96854),x96856)),x96857),f326(f78(x96852,x96853,x96854,f326(f74(x96851,x96853,x96852,x96856),x96855)),x96857))+~P103(f326(f326(f328(x96853),x96857),f326(f305(x96851,x96853,x96856),f326(f305(x96852,x96851,x96855),x96854))))
% 149.08/148.76 [10006]~P12(x100067,x100066,x100061)+E(f326(f326(x100061,x100062),f366(x100063,x100064,x100062,x100065,x100061,x100066,x100067)),x100063)+P103(f326(f326(f328(x100067),x100062),x100064))+~P103(f326(f67(x100067,x100066,x100061,x100065,f326(f326(f304(x100067),x100062),x100064)),x100063))
% 149.08/148.76 [10069]~P12(x100691,x100694,x100695)+P103(f326(f67(x100691,x100694,x100695,x100696,x100693),f366(x100697,x100693,x100692,x100696,x100695,x100694,x100691)))+P103(f326(f326(f328(x100691),x100692),x100693))+~P103(f326(f67(x100691,x100694,x100695,x100696,f326(f326(f304(x100691),x100692),x100693)),x100697))
% 149.08/148.76 [9753]E(x97531,f2(a1))+~P103(f326(f49(x97533,x97531),f326(f326(f261(a1,a1),x97535),x97537)))+~P103(f326(f49(x97532,x97531),f326(f326(f261(a1,a1),x97534),x97536)))+P103(f326(f49(f326(f326(f81(a1),x97532),x97533),x97531),f326(f326(f261(a1,a1),f326(f326(f81(a1),f326(f326(f81(a1),x97534),x97535)),f326(f326(f39(a1),f326(f326(f81(a1),x97536),x97537)),x97531))),f45(a1,f326(f326(f81(a1),x97536),x97537),x97531))))
% 149.08/148.76 [9755]~P103(f326(f326(f241(a872),f2(a872)),x97553))+~P103(f326(f48(x97552,x97553),f326(f326(f261(a872,a872),x97555),x97557)))+~P103(f326(f48(x97551,x97553),f326(f326(f261(a872,a872),x97554),x97556)))+P103(f326(f48(f326(f326(f81(a872),x97551),x97552),x97553),f326(f326(f261(a872,a872),f326(f326(f81(a872),f326(f326(f81(a872),x97554),x97555)),f326(f326(f39(a872),f326(f326(f81(a872),x97556),x97557)),x97553))),f45(a872,f326(f326(f81(a872),x97556),x97557),x97553))))
% 149.08/148.76 [10115]~P72(x101152)+~P103(f326(f62(x101153),x101155))+~P103(f326(f62(x101151),x101157))+E(f326(f326(f6(x101151,x101152),f326(f326(f18(x101151,f880(x101153,a866),x101152),f326(f326(f8(f880(x101153,x101152),f880(f880(x101153,a866),x101152),x101151),f6(x101153,x101152)),x101154)),f326(f326(f8(f880(x101153,a866),f880(x101153,a866),x101151),f246(x101153)),f326(f326(f8(f880(x101153,a866),f880(x101153,a866),x101151),f326(f18(x101153,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101153),a324),f326(f326(f7(x101153,f880(x101153,a866),a866),f328(x101153)),x101155)))),x101156)))),x101157),f326(f326(f6(x101153,x101152),f326(f326(f18(x101153,f880(x101151,a866),x101152),f326(f326(f8(f880(x101151,x101152),f880(f880(x101151,a866),x101152),x101153),f6(x101151,x101152)),f326(f7(x101151,x101153,x101152),x101154))),f326(f326(f8(f880(x101151,a866),f880(x101151,a866),x101153),f246(x101151)),f326(f326(f8(f880(x101151,a866),f880(x101151,a866),x101153),f326(f18(x101151,a866,a866),f326(f326(f8(a866,f880(a866,a866),x101151),a324),f326(f326(f7(x101151,f880(x101151,a866),a866),f328(x101151)),x101157)))),f326(f7(x101151,x101153,a866),x101156))))),x101155))
% 149.08/148.76 [9624]~P18(x96247,x96246,x96241,x96248,x96242,x96244)+E(f326(f326(x96241,f326(x96242,x96243)),f326(x96244,x96245)),f326(x96244,x96245))+~P103(f326(f62(x96246),x96245))+~P103(f326(f326(f328(x96246),x96243),x96245))
% 149.08/148.76 [9628]~P10(x96286,x96281,x96282,x96288,x96283,x96284)+~P3(x96286,x96287,x96288)+P9(x96281,x96282,x96283,f326(x96284,x96285))+~P103(f326(f326(f328(x96286),x96285),x96287))
% 149.08/148.76 [8066]~P29(x80668,x80667,f326(f326(f326(f93(x80668),x80664),x80666),x80661))+P103(f326(f326(x80661,x80662),x80663))+~P103(f326(f326(x80664,x80662),x80665))+~P103(f326(f326(f326(f326(a199,x80666),x80665),x80667),x80663))
% 149.08/148.76 [9249]~P15(x92497,x92491,x92498,x92493)+~P103(f326(f62(x92497),x92495))+~P103(f326(f62(x92497),x92494))+E(f326(f74(x92491,x92491,x92492,f326(x92493,x92494)),f326(f74(x92491,x92491,x92492,f326(x92493,x92495)),x92496)),f326(f74(x92491,x92491,x92492,f326(x92493,x92495)),f326(f74(x92491,x92491,x92492,f326(x92493,x92494)),x92496)))
% 149.08/148.76 [9257]~P34(x92571,x92572,x92573,x92574,x92577)+P34(x92571,x92572,x92573,f326(f326(f155(x92571,x92574),x92575),x92576),f326(f326(f155(x92572,x92577),x92575),x92578))+~P103(f326(f326(x92573,x92576),x92578))+~P103(f326(f326(f241(a872),x92575),f326(f191(f873(x92571)),x92574)))
% 149.08/148.76 [9258]~P34(x92581,x92582,x92583,x92584,x92587)+P34(x92581,x92582,x92583,f326(f326(f155(x92581,x92584),x92585),x92586),f326(f326(f155(x92582,x92587),x92585),x92588))+~P103(f326(f326(x92583,x92586),x92588))+~P103(f326(f326(f241(a872),x92585),f326(f191(f873(x92582)),x92587)))
% 149.08/148.76 [9337]~P21(x93372,x93372,x93375,x93376)+~P17(x93373,x93372,x93377,x93378,x93371)+~P103(f326(f62(x93372),x93376))+E(f326(f326(x93371,f326(f74(x93372,x93373,x93372,x93374),x93375)),x93376),f326(f326(x93371,x93374),f326(f305(x93372,x93372,x93375),x93376)))
% 149.08/148.76 [9626]~P19(x96267,x96262,x96265,x96268,x96266,x96261)+~P103(f326(f62(x96262),x96264))+E(f326(x96261,f326(f326(f304(x96262),x96263),x96264)),f326(f326(x96265,f326(x96266,x96263)),f326(x96261,x96264)))+P103(f326(f326(f328(x96262),x96263),x96264))
% 149.08/148.76 [9637]~P18(x96376,x96375,x96371,x96377,x96378,x96372)+E(f326(f326(x96371,f326(x96372,x96373)),f326(x96372,x96374)),f326(x96372,x96374))+~P103(f326(f62(x96375),x96374))+~P103(f326(f326(f240(f880(x96375,a866)),x96373),x96374))
% 149.08/148.76 [9235]P103(f326(f326(f328(f879(f873(x92351),f873(x92351))),f326(f326(f261(f873(x92351),f873(x92351)),x92352),x92353)),f153(x92351,x92354)))+~E(x92353,f326(f326(f126(x92351),x92355),f326(f326(f147(x92351),x92356),x92357)))+~E(x92352,f326(f326(f126(x92351),x92355),f326(f326(f147(x92351),x92358),x92357)))+~P103(f326(f326(f328(f879(x92351,x92351)),f326(f326(f261(x92351,x92351),x92358),x92356)),x92354))
% 149.08/148.76 [9631]~P18(x96316,x96312,x96315,x96317,x96318,x96311)+~P103(f326(f62(x96312),x96314))+~P103(f326(f62(x96312),x96313))+E(f326(x96311,f326(f326(f115(f880(x96312,a866)),x96313),x96314)),f326(f326(x96315,f326(x96311,x96313)),f326(x96311,x96314)))
% 149.08/148.76 [10153]~P21(x101534,x101532,x101535,x101538)+E(f326(f326(f43(x101531,f880(x101532,a866)),x101533),f326(f326(f8(f880(x101534,a866),f880(x101532,a866),x101531),f305(x101534,x101532,x101535)),x101536)),f326(f305(x101534,x101532,x101535),f326(f326(f43(x101531,f880(x101534,a866)),x101533),x101536)))+~P103(f326(f326(f328(x101531),x101537),x101533))+P103(f326(f326(f328(x101531),f560(x101537,x101536,x101533,x101531,x101538,x101535,x101532,x101534)),x101533))
% 149.08/148.76 [10177]~P21(x101774,x101772,x101775,x101777)+E(f326(f326(f43(x101771,f880(x101772,a866)),x101773),f326(f326(f8(f880(x101774,a866),f880(x101772,a866),x101771),f305(x101774,x101772,x101775)),x101776)),f326(f305(x101774,x101772,x101775),f326(f326(f43(x101771,f880(x101774,a866)),x101773),x101776)))+~P103(f326(f326(f328(x101771),x101778),x101773))+~P103(f326(f326(f240(f880(x101774,a866)),f326(x101776,f560(x101778,x101776,x101773,x101771,x101777,x101775,x101772,x101774))),x101777))
% 149.08/148.76 [9694]~P19(x96947,x96945,x96941,x96948,x96942,x96944)+~P103(f326(f62(x96945),x96946))+~P103(f326(f326(f328(x96945),x96943),x96946))+E(f326(f326(x96941,f326(x96942,x96943)),f326(x96944,f326(f326(f22(f880(x96945,a866)),x96946),f326(f326(f304(x96945),x96943),f190(f880(x96945,a866)))))),f326(x96944,x96946))
% 149.08/148.76 [9702]~P19(x97026,x97023,x97021,x97027,x97028,x97022)+~P103(f326(f62(x97023),x97025))+~P103(f326(f62(x97023),x97024))+E(f326(f326(x97021,f326(x97022,f326(f326(f115(f880(x97023,a866)),x97024),x97025))),f326(x97022,f326(f326(f106(f880(x97023,a866)),x97024),x97025))),f326(f326(x97021,f326(x97022,x97024)),f326(x97022,x97025)))
% 149.08/148.76 [9794]P41(x97941,x97942,x97943,x97944,x97945,f326(f326(x97943,x97946),x97947))+~P41(x97941,x97942,x97943,x97944,f326(f326(f22(f880(x97941,a866)),x97945),f326(f326(f304(x97941),x97948),f190(f880(x97941,a866)))),x97949)+~E(f326(f326(x97943,x97946),x97947),f326(f326(x97943,x97948),x97949))+~P103(f326(f326(f328(x97941),x97948),x97945))
% 149.08/148.76 [10192]P20(x101921,x101922,f326(f326(f304(f871(x101921)),f326(f326(f326(f93(x101921),f326(x101923,f645(x101924,x101925,x101926,x101927,x101923,x101922,x101921,x101928,x101929))),f326(x101927,f645(x101924,x101925,x101926,x101927,x101923,x101922,x101921,x101928,x101929))),f326(x101926,f645(x101924,x101925,x101926,x101927,x101923,x101922,x101921,x101928,x101929)))),f190(f880(f871(x101921),a866))))+~P103(f326(f62(x101929),x101928))+~P20(x101921,x101922,f326(f305(x101929,f871(x101921),f326(f326(f18(x101929,f880(x101921,f880(a867,a866)),f871(x101921)),f326(f326(f18(x101929,a868,f880(f880(x101921,f880(a867,a866)),f871(x101921))),f326(f326(f8(f880(x101921,f880(a867,a866)),f880(a868,f880(f880(x101921,f880(a867,a866)),f871(x101921))),x101929),f93(x101921)),x101923)),x101927)),x101926)),x101928))+P20(x101921,x101922,f326(f305(x101929,f871(x101921),f326(f326(f18(x101929,f880(x101921,f880(a867,a866)),f871(x101921)),f326(f326(f18(x101929,a868,f880(f880(x101921,f880(a867,a866)),f871(x101921))),f326(f326(f8(f880(x101921,f880(a867,a866)),f880(a868,f880(f880(x101921,f880(a867,a866)),f871(x101921))),x101929),f93(x101921)),x101925)),x101927)),x101924)),x101928))
% 149.08/148.76 [10193]~P20(x101931,x101932,f326(f326(f304(f871(x101931)),f326(f326(f326(f93(x101931),f326(x101934,f645(x101936,x101934,x101938,x101935,x101939,x101932,x101931,x101937,x101933))),f326(x101935,f645(x101936,x101934,x101938,x101935,x101939,x101932,x101931,x101937,x101933))),f326(x101936,f645(x101936,x101934,x101938,x101935,x101939,x101932,x101931,x101937,x101933)))),f190(f880(f871(x101931),a866))))+~P103(f326(f62(x101933),x101937))+~P20(x101931,x101932,f326(f305(x101933,f871(x101931),f326(f326(f18(x101933,f880(x101931,f880(a867,a866)),f871(x101931)),f326(f326(f18(x101933,a868,f880(f880(x101931,f880(a867,a866)),f871(x101931))),f326(f326(f8(f880(x101931,f880(a867,a866)),f880(a868,f880(f880(x101931,f880(a867,a866)),f871(x101931))),x101933),f93(x101931)),x101939)),x101935)),x101938)),x101937))+P20(x101931,x101932,f326(f305(x101933,f871(x101931),f326(f326(f18(x101933,f880(x101931,f880(a867,a866)),f871(x101931)),f326(f326(f18(x101933,a868,f880(f880(x101931,f880(a867,a866)),f871(x101931))),f326(f326(f8(f880(x101931,f880(a867,a866)),f880(a868,f880(f880(x101931,f880(a867,a866)),f871(x101931))),x101933),f93(x101931)),x101934)),x101935)),x101936)),x101937))
% 149.08/148.76 [9728]~P10(x97286,x97287,x97288,x97289,x972810,x97281)+E(f326(f326(x97281,x97282),x97283),f326(f326(x97281,x97284),x97285))+~P103(f326(f326(f328(f879(x97287,x97287)),f326(f326(f261(x97287,x97287),x97283),x97285)),x972810))+~P103(f326(f326(f328(f879(x97286,x97286)),f326(f326(f261(x97286,x97286),x97282),x97284)),x97289))
% 149.08/148.76 [9339]~P76(x93392)+E(x93391,f190(f880(x93392,a866)))+~P103(f326(f62(x93392),x93391))+P103(f326(f326(f328(x93392),f10(x93392,x93391)),x93391))+~P103(f326(f326(f328(x93392),f326(f326(f115(x93392),f765(x93391,x93392)),f780(x93391,x93392))),f326(f326(f304(x93392),f765(x93391,x93392)),f326(f326(f304(x93392),f780(x93391,x93392)),f190(f880(x93392,a866))))))
% 149.08/148.76 [9340]~P76(x93402)+E(x93401,f190(f880(x93402,a866)))+~P103(f326(f62(x93402),x93401))+P103(f326(f326(f328(x93402),f11(x93402,x93401)),x93401))+~P103(f326(f326(f328(x93402),f326(f326(f106(x93402),f860(x93401,x93402)),f863(x93401,x93402))),f326(f326(f304(x93402),f860(x93401,x93402)),f326(f326(f304(x93402),f863(x93401,x93402)),f190(f880(x93402,a866))))))
% 149.08/148.76 [9372]~P69(x93722)+E(x93721,f190(f880(x93722,a866)))+~P103(f326(f62(x93722),x93721))+P103(f326(f326(f328(x93722),f326(f64(x93722,f82(x93722)),x93721)),x93721))+~P103(f326(f326(f328(x93722),f326(f326(f82(x93722),f370(x93721,x93722)),f371(x93721,x93722))),f326(f326(f304(x93722),f370(x93721,x93722)),f326(f326(f304(x93722),f371(x93721,x93722)),f190(f880(x93722,a866))))))
% 149.08/148.76 [9378]~P105(x93782)+E(x93781,f190(f880(x93782,a866)))+~P103(f326(f62(x93782),x93781))+P103(f326(f326(f328(x93782),f12(x93782,f239(x93782),x93781)),x93781))+~P103(f326(f326(f328(x93782),f326(f326(f239(x93782),f467(x93781,x93782)),f468(x93781,x93782))),f326(f326(f304(x93782),f467(x93781,x93782)),f326(f326(f304(x93782),f468(x93781,x93782)),f190(f880(x93782,a866))))))
% 149.08/148.76 [9379]~P105(x93792)+E(x93791,f190(f880(x93792,a866)))+~P103(f326(f62(x93792),x93791))+P103(f326(f326(f328(x93792),f13(x93792,f238(x93792),x93791)),x93791))+~P103(f326(f326(f328(x93792),f326(f326(f238(x93792),f470(x93791,x93792)),f471(x93791,x93792))),f326(f326(f304(x93792),f470(x93791,x93792)),f326(f326(f304(x93792),f471(x93791,x93792)),f190(f880(x93792,a866))))))
% 149.08/148.76 [6501]~P88(x65012)+E(x65011,f2(x65012))+~E(f326(f326(f81(x65012),x65013),x65011),f2(x65012))+~P103(f326(f326(f240(x65012),f2(x65012)),x65013))+~P103(f326(f326(f240(x65012),f2(x65012)),x65011))
% 149.08/148.76 [6502]~P88(x65022)+E(x65021,f2(x65022))+~E(f326(f326(f81(x65022),x65021),x65023),f2(x65022))+~P103(f326(f326(f240(x65022),f2(x65022)),x65023))+~P103(f326(f326(f240(x65022),f2(x65022)),x65021))
% 149.08/148.76 [7034]~P105(x70342)+~P28(x70342,x70341)+E(x70341,f118(x70342))+~P103(f326(f326(f328(x70342),x70343),f326(f168(x70342),f724(x70341,x70342))))+P103(f326(f326(f240(x70342),f757(x70341,x70342)),x70343))
% 149.08/148.76 [7200]~P105(x72001)+E(f14(x72001,x72002),x72003)+~P103(f326(f62(x72001),x72002))+~P103(f326(f326(f240(x72001),x72003),f510(x72003,x72002,x72001)))+~P103(f326(f326(f328(x72001),x72003),x72002))
% 149.08/148.76 [7231]~P105(x72311)+~P28(x72311,x72312)+~P28(x72311,x72313)+P28(x72311,f326(f326(f126(x72311),x72312),x72313))+P103(f326(f326(f328(x72311),f731(x72313,x72312,x72311)),f326(f168(x72311),x72312)))
% 149.08/148.76 [7232]~P105(x72321)+~P28(x72321,x72322)+~P28(x72321,x72323)+P28(x72321,f326(f326(f126(x72321),x72322),x72323))+P103(f326(f326(f328(x72321),f732(x72323,x72322,x72321)),f326(f168(x72321),x72323)))
% 149.08/148.76 [7288]~P105(x72881)+E(f14(x72881,x72882),x72883)+~P103(f326(f62(x72881),x72882))+P103(f326(f326(f328(x72881),f510(x72883,x72882,x72881)),x72882))+~P103(f326(f326(f328(x72881),x72883),x72882))
% 149.08/148.76 [7289]~P105(x72891)+E(f15(x72891,x72892),x72893)+~P103(f326(f62(x72891),x72892))+P103(f326(f326(f328(x72891),f511(x72893,x72892,x72891)),x72892))+~P103(f326(f326(f328(x72891),x72893),x72892))
% 149.08/148.76 [7868]~P105(x78681)+E(f15(x78681,x78682),x78683)+~P103(f326(f62(x78681),x78682))+~P103(f326(f326(f328(x78681),x78683),x78682))+~P103(f326(f326(f240(x78681),f511(x78683,x78682,x78681)),x78683))
% 149.08/148.76 [8197]~P105(x81971)+~P28(x81971,x81972)+~P28(x81971,x81973)+P28(x81971,f326(f326(f126(x81971),x81972),x81973))+~P103(f326(f326(f240(x81971),f731(x81973,x81972,x81971)),f732(x81973,x81972,x81971)))
% 149.08/148.76 [8980]~P76(x89802)+E(x89801,f190(f880(x89802,a866)))+~E(f326(f326(f115(x89802),f326(x89803,f792(x89801,x89803,x89802))),f326(x89803,f800(x89801,x89803,x89802))),f326(x89803,f326(f326(f115(x89802),f792(x89801,x89803,x89802)),f800(x89801,x89803,x89802))))+E(f10(x89802,f326(f305(x89802,x89802,x89803),x89801)),f326(x89803,f10(x89802,x89801)))+~P103(f326(f62(x89802),x89801))
% 149.08/148.76 [8981]~P76(x89812)+E(x89811,f190(f880(x89812,a866)))+~E(f326(f326(f106(x89812),f326(x89813,f334(x89811,x89813,x89812))),f326(x89813,f338(x89811,x89813,x89812))),f326(x89813,f326(f326(f106(x89812),f334(x89811,x89813,x89812)),f338(x89811,x89813,x89812))))+E(f11(x89812,f326(f305(x89812,x89812,x89813),x89811)),f326(x89813,f11(x89812,x89811)))+~P103(f326(f62(x89812),x89811))
% 149.08/148.76 [8982]~P105(x89822)+E(x89821,f190(f880(x89822,a866)))+~E(f326(f326(f238(x89822),f326(x89823,f462(x89821,x89823,x89822))),f326(x89823,f478(x89821,x89823,x89822))),f326(x89823,f326(f326(f238(x89822),f462(x89821,x89823,x89822)),f478(x89821,x89823,x89822))))+E(f14(x89822,f326(f305(x89822,x89822,x89823),x89821)),f326(x89823,f14(x89822,x89821)))+~P103(f326(f62(x89822),x89821))
% 149.08/148.76 [8983]~P105(x89832)+E(x89831,f190(f880(x89832,a866)))+~E(f326(f326(f239(x89832),f326(x89833,f463(x89831,x89833,x89832))),f326(x89833,f477(x89831,x89833,x89832))),f326(x89833,f326(f326(f239(x89832),f463(x89831,x89833,x89832)),f477(x89831,x89833,x89832))))+E(f15(x89832,f326(f305(x89832,x89832,x89833),x89831)),f326(x89833,f15(x89832,x89831)))+~P103(f326(f62(x89832),x89831))
% 149.08/148.76 [9053]~P105(x90532)+E(x90531,f190(f880(x90532,a866)))+~E(f326(f326(f239(x90532),f326(x90533,f464(x90531,x90533,x90532))),f326(x90533,f473(x90531,x90533,x90532))),f326(x90533,f326(f326(f239(x90532),f464(x90531,x90533,x90532)),f473(x90531,x90533,x90532))))+E(f12(x90532,f239(x90532),f326(f305(x90532,x90532,x90533),x90531)),f326(x90533,f12(x90532,f239(x90532),x90531)))+~P103(f326(f62(x90532),x90531))
% 149.08/148.76 [9054]~P105(x90542)+E(x90541,f190(f880(x90542,a866)))+~E(f326(f326(f238(x90542),f326(x90543,f475(x90541,x90543,x90542))),f326(x90543,f476(x90541,x90543,x90542))),f326(x90543,f326(f326(f238(x90542),f475(x90541,x90543,x90542)),f476(x90541,x90543,x90542))))+E(f13(x90542,f238(x90542),f326(f305(x90542,x90542,x90543),x90541)),f326(x90543,f13(x90542,f238(x90542),x90541)))+~P103(f326(f62(x90542),x90541))
% 149.08/148.76 [6517]~P69(x65172)+E(x65171,f190(f880(x65172,a866)))+~P103(f326(f62(x65172),x65171))+E(f326(f64(x65172,f82(x65172)),f326(f326(f304(x65172),x65173),x65171)),f326(f326(f82(x65172),x65173),f326(f64(x65172,f82(x65172)),x65171)))+P103(f326(f326(f328(x65172),x65173),x65171))
% 149.08/148.76 [7040]~P76(x70402)+E(f326(f326(f115(x70402),f10(x70402,x70401)),f10(x70402,x70403)),f10(x70402,x70403))+E(x70401,f190(f880(x70402,a866)))+~P103(f326(f62(x70402),x70403))+~P103(f326(f326(f240(f880(x70402,a866)),x70401),x70403))
% 149.08/148.76 [7041]~P76(x70412)+E(f326(f326(f106(x70412),f11(x70412,x70411)),f11(x70412,x70413)),f11(x70412,x70413))+E(x70411,f190(f880(x70412,a866)))+~P103(f326(f62(x70412),x70413))+~P103(f326(f326(f240(f880(x70412,a866)),x70411),x70413))
% 149.08/148.76 [7042]~P105(x70422)+E(f326(f326(f238(x70422),f14(x70422,x70421)),f14(x70422,x70423)),f14(x70422,x70423))+E(x70421,f190(f880(x70422,a866)))+~P103(f326(f62(x70422),x70423))+~P103(f326(f326(f240(f880(x70422,a866)),x70421),x70423))
% 149.08/148.76 [7043]~P105(x70432)+E(f326(f326(f239(x70432),f15(x70432,x70431)),f15(x70432,x70433)),f15(x70432,x70433))+E(x70431,f190(f880(x70432,a866)))+~P103(f326(f62(x70432),x70433))+~P103(f326(f326(f240(f880(x70432,a866)),x70431),x70433))
% 149.08/148.76 [7340]~P105(x73402)+E(x73401,f190(f880(x73402,a866)))+~P103(f326(f62(x73402),x73403))+P103(f326(f326(f240(x73402),f14(x73402,x73403)),f14(x73402,x73401)))+~P103(f326(f326(f240(f880(x73402,a866)),x73401),x73403))
% 149.08/148.76 [7341]~P105(x73412)+E(x73411,f190(f880(x73412,a866)))+~P103(f326(f62(x73412),x73413))+P103(f326(f326(f240(x73412),f15(x73412,x73411)),f15(x73412,x73413)))+~P103(f326(f326(f240(f880(x73412,a866)),x73411),x73413))
% 149.08/148.76 [7399]~P76(x73991)+E(f10(x73991,x73992),x73993)+~P103(f326(f62(x73991),x73992))+~E(f326(f326(f22(f880(x73991,a866)),x73992),f326(f326(f304(x73991),x73993),f190(f880(x73991,a866)))),f190(f880(x73991,a866)))+~P103(f326(f326(f328(x73991),x73993),x73992))
% 149.08/148.76 [7400]~P76(x74001)+E(f11(x74001,x74002),x74003)+~P103(f326(f62(x74001),x74002))+~E(f326(f326(f22(f880(x74001,a866)),x74002),f326(f326(f304(x74001),x74003),f190(f880(x74001,a866)))),f190(f880(x74001,a866)))+~P103(f326(f326(f328(x74001),x74003),x74002))
% 149.08/148.76 [7401]~P105(x74011)+E(f14(x74011,x74012),x74013)+~P103(f326(f62(x74011),x74012))+~E(f326(f326(f22(f880(x74011,a866)),x74012),f326(f326(f304(x74011),x74013),f190(f880(x74011,a866)))),f190(f880(x74011,a866)))+~P103(f326(f326(f328(x74011),x74013),x74012))
% 149.08/148.76 [7402]~P105(x74021)+E(f15(x74021,x74022),x74023)+~P103(f326(f62(x74021),x74022))+~E(f326(f326(f22(f880(x74021,a866)),x74022),f326(f326(f304(x74021),x74023),f190(f880(x74021,a866)))),f190(f880(x74021,a866)))+~P103(f326(f326(f328(x74021),x74023),x74022))
% 149.08/148.76 [7501]~P105(x75011)+E(f12(x75011,f239(x75011),x75012),x75013)+~P103(f326(f62(x75011),x75012))+~E(f326(f326(f22(f880(x75011,a866)),x75012),f326(f326(f304(x75011),x75013),f190(f880(x75011,a866)))),f190(f880(x75011,a866)))+~P103(f326(f326(f328(x75011),x75013),x75012))
% 149.08/148.76 [7502]~P105(x75021)+E(f13(x75021,f238(x75021),x75022),x75023)+~P103(f326(f62(x75021),x75022))+~E(f326(f326(f22(f880(x75021,a866)),x75022),f326(f326(f304(x75021),x75023),f190(f880(x75021,a866)))),f190(f880(x75021,a866)))+~P103(f326(f326(f328(x75021),x75023),x75022))
% 149.08/148.76 [7538]~P100(x75382)+E(x75381,f190(f880(x75382,a866)))+~P103(f326(f62(x75382),x75381))+~P103(f326(f326(f240(x75382),x75383),f362(x75383,x75381,x75382)))+P103(f326(f326(f240(x75382),x75383),f326(f64(x75382,f106(x75382)),x75381)))
% 149.08/148.76 [7539]~P105(x75392)+E(x75391,f190(f880(x75392,a866)))+~P103(f326(f62(x75392),x75391))+~P103(f326(f326(f240(x75392),x75393),f447(x75393,x75391,x75392)))+P103(f326(f326(f240(x75392),x75393),f326(f64(x75392,f238(x75392)),x75391)))
% 149.08/148.76 [7540]~P105(x75402)+E(x75401,f190(f880(x75402,a866)))+~P103(f326(f62(x75402),x75401))+~P103(f326(f326(f241(x75402),x75403),f456(x75403,x75401,x75402)))+P103(f326(f326(f241(x75402),x75403),f326(f64(x75402,f238(x75402)),x75401)))
% 149.08/148.76 [7625]~P100(x76252)+E(x76251,f190(f880(x76252,a866)))+~P103(f326(f62(x76252),x76251))+P103(f326(f326(f328(x76252),f362(x76253,x76251,x76252)),x76251))+P103(f326(f326(f240(x76252),x76253),f326(f64(x76252,f106(x76252)),x76251)))
% 149.08/148.76 [7626]~P105(x76262)+E(x76261,f190(f880(x76262,a866)))+~P103(f326(f62(x76262),x76261))+P103(f326(f326(f328(x76262),f447(x76263,x76261,x76262)),x76261))+P103(f326(f326(f240(x76262),x76263),f326(f64(x76262,f238(x76262)),x76261)))
% 149.08/148.76 [7627]~P105(x76272)+E(x76271,f190(f880(x76272,a866)))+~P103(f326(f62(x76272),x76271))+P103(f326(f326(f328(x76272),f456(x76273,x76271,x76272)),x76271))+P103(f326(f326(f241(x76272),x76273),f326(f64(x76272,f238(x76272)),x76271)))
% 149.08/148.76 [7748]~P105(x77482)+E(x77481,f190(f880(x77482,a866)))+E(f326(f326(f238(x77482),f13(x77482,f238(x77482),x77481)),f13(x77482,f238(x77482),x77483)),f13(x77482,f238(x77482),x77483))+~P103(f326(f62(x77482),x77483))+~P103(f326(f326(f240(f880(x77482,a866)),x77481),x77483))
% 149.08/148.76 [7749]~P105(x77492)+E(x77491,f190(f880(x77492,a866)))+E(f326(f326(f239(x77492),f12(x77492,f239(x77492),x77491)),f12(x77492,f239(x77492),x77493)),f12(x77492,f239(x77492),x77493))+~P103(f326(f62(x77492),x77493))+~P103(f326(f326(f240(f880(x77492,a866)),x77491),x77493))
% 149.08/148.76 [7947]~E(f459(x79471,x79473,x79472),f460(x79471,x79473,x79472))+~E(f326(f38(x79472),f461(x79471,x79473,x79472)),x79471)+E(f326(f326(f82(a872),x79471),f326(f38(f880(x79472,a866)),x79473)),f326(f38(x79472),f40(f880(x79472,a866),x79473)))+~P103(f326(f62(x79472),f40(f880(x79472,a866),x79473)))+~P103(f326(f62(f880(x79472,a866)),x79473))
% 149.08/148.76 [8130]~P105(x81302)+E(x81301,f190(f880(x81302,a866)))+~P103(f326(f62(x81302),x81303))+P103(f326(f326(f240(x81302),f326(f64(x81302,f238(x81302)),x81303)),f326(f64(x81302,f238(x81302)),x81301)))+~P103(f326(f326(f240(f880(x81302,a866)),x81301),x81303))
% 149.08/148.76 [8439]~E(f459(x84391,x84393,x84392),f460(x84391,x84393,x84392))+E(f326(f326(f82(a872),x84391),f326(f38(f880(x84392,a866)),x84393)),f326(f38(x84392),f40(f880(x84392,a866),x84393)))+P103(f326(f326(f328(f880(x84392,a866)),f461(x84391,x84393,x84392)),x84393))+~P103(f326(f62(x84392),f40(f880(x84392,a866),x84393)))+~P103(f326(f62(f880(x84392,a866)),x84393))
% 149.08/148.76 [8467]~E(f326(f38(x84672),f461(x84671,x84673,x84672)),x84671)+E(f326(f326(f82(a872),x84671),f326(f38(f880(x84672,a866)),x84673)),f326(f38(x84672),f40(f880(x84672,a866),x84673)))+P103(f326(f326(f328(f880(x84672,a866)),f460(x84671,x84673,x84672)),x84673))+~P103(f326(f62(x84672),f40(f880(x84672,a866),x84673)))+~P103(f326(f62(f880(x84672,a866)),x84673))
% 149.08/148.76 [8468]~E(f326(f38(x84682),f461(x84681,x84683,x84682)),x84681)+E(f326(f326(f82(a872),x84681),f326(f38(f880(x84682,a866)),x84683)),f326(f38(x84682),f40(f880(x84682,a866),x84683)))+P103(f326(f326(f328(f880(x84682,a866)),f459(x84681,x84683,x84682)),x84683))+~P103(f326(f62(x84682),f40(f880(x84682,a866),x84683)))+~P103(f326(f62(f880(x84682,a866)),x84683))
% 149.08/148.76 [8496]~E(f326(f38(x84962),f461(x84961,x84963,x84962)),x84961)+~E(f326(f326(f106(f880(x84962,a866)),f460(x84961,x84963,x84962)),f459(x84961,x84963,x84962)),f190(f880(x84962,a866)))+E(f326(f326(f82(a872),x84961),f326(f38(f880(x84962,a866)),x84963)),f326(f38(x84962),f40(f880(x84962,a866),x84963)))+~P103(f326(f62(f880(x84962,a866)),x84963))+~P103(f326(f62(x84962),f40(f880(x84962,a866),x84963)))
% 149.08/148.76 [8739]E(f326(f326(f82(a872),x87391),f326(f38(f880(x87392,a866)),x87393)),f326(f38(x87392),f40(f880(x87392,a866),x87393)))+P103(f326(f326(f328(f880(x87392,a866)),f461(x87391,x87393,x87392)),x87393))+P103(f326(f326(f328(f880(x87392,a866)),f460(x87391,x87393,x87392)),x87393))+~P103(f326(f62(f880(x87392,a866)),x87393))+~P103(f326(f62(x87392),f40(f880(x87392,a866),x87393)))
% 149.08/148.76 [8740]E(f326(f326(f82(a872),x87401),f326(f38(f880(x87402,a866)),x87403)),f326(f38(x87402),f40(f880(x87402,a866),x87403)))+P103(f326(f326(f328(f880(x87402,a866)),f461(x87401,x87403,x87402)),x87403))+P103(f326(f326(f328(f880(x87402,a866)),f459(x87401,x87403,x87402)),x87403))+~P103(f326(f62(f880(x87402,a866)),x87403))+~P103(f326(f62(x87402),f40(f880(x87402,a866),x87403)))
% 149.08/148.76 [8765]~E(f326(f326(f106(f880(x87652,a866)),f460(x87651,x87653,x87652)),f459(x87651,x87653,x87652)),f190(f880(x87652,a866)))+E(f326(f326(f82(a872),x87651),f326(f38(f880(x87652,a866)),x87653)),f326(f38(x87652),f40(f880(x87652,a866),x87653)))+~P103(f326(f62(f880(x87652,a866)),x87653))+P103(f326(f326(f328(f880(x87652,a866)),f461(x87651,x87653,x87652)),x87653))+~P103(f326(f62(x87652),f40(f880(x87652,a866),x87653)))
% 149.08/148.76 [9027]~P96(x90272)+E(x90271,f190(f880(x90272,a866)))+~E(f326(f326(f82(x90272),f326(x90273,f369(x90271,x90273,x90272))),f326(x90273,f372(x90271,x90273,x90272))),f326(x90273,f326(f326(f82(x90272),f369(x90271,x90273,x90272)),f372(x90271,x90273,x90272))))+~P103(f326(f62(x90272),x90271))+E(f326(f64(x90272,f82(x90272)),f326(f305(x90272,x90272,x90273),x90271)),f326(x90273,f326(f64(x90272,f82(x90272)),x90271)))
% 149.08/148.76 [9951]P103(f326(f326(x99511,x99512),x99513))+P103(f326(f326(f241(a1),f523(x99511,x99513,x99512)),f524(x99511,x99513,x99512)))+P103(f326(f326(f240(a1),f524(x99511,x99513,x99512)),f2(a1)))+P103(f326(f326(x99511,f523(x99511,x99513,x99512)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f524(x99511,x99513,x99512))))+~P103(f326(f314(f879(a1,a1),a57),f326(f326(f261(a1,a1),x99512),x99513)))
% 149.08/148.76 [9957]P103(f326(f326(x99571,x99572),x99573))+P103(f326(f326(f240(a1),f522(x99571,x99573,x99572)),f2(a1)))+P103(f326(f326(x99571,f520(x99571,x99573,x99572)),f326(f326(f82(a1),f326(f108(a1),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f522(x99571,x99573,x99572))))+P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),f520(x99571,x99573,x99572)),f522(x99571,x99573,x99572))))+~P103(f326(f314(f879(a1,a1),a52),f326(f326(f261(a1,a1),x99572),x99573)))
% 149.08/148.76 [7918]~P109(x79181)+~P103(f326(f326(f240(x79181),x79182),f79(x79181)))+~P103(f326(f326(f240(x79181),f2(x79181)),x79182))+~P103(f326(f326(f240(x79181),f2(x79181)),x79183))+P103(f326(f326(f240(x79181),f326(f326(f82(x79181),x79182),x79183)),x79183))
% 149.08/148.76 [7919]~P109(x79191)+~P103(f326(f326(f240(x79191),x79193),f79(x79191)))+~P103(f326(f326(f240(x79191),f2(x79191)),x79193))+~P103(f326(f326(f240(x79191),f2(x79191)),x79192))+P103(f326(f326(f240(x79191),f326(f326(f82(x79191),x79192),x79193)),x79192))
% 149.08/148.76 [8281]~P105(x82812)+E(x82811,f190(f880(x82812,a866)))+~P103(f326(f62(x82812),x82811))+P103(f326(f326(f240(x82812),f453(x82813,x82811,x82812)),x82813))+~P103(f326(f326(f240(x82812),f326(f64(x82812,f238(x82812)),x82811)),x82813))
% 149.08/148.76 [8282]~P105(x82822)+E(x82821,f190(f880(x82822,a866)))+~P103(f326(f62(x82822),x82821))+P103(f326(f326(f328(x82822),f453(x82823,x82821,x82822)),x82821))+~P103(f326(f326(f240(x82822),f326(f64(x82822,f238(x82822)),x82821)),x82823))
% 149.08/148.76 [8283]~P105(x82832)+E(x82831,f190(f880(x82832,a866)))+~P103(f326(f62(x82832),x82831))+P103(f326(f326(f328(x82832),f457(x82833,x82831,x82832)),x82831))+~P103(f326(f326(f241(x82832),f326(f64(x82832,f238(x82832)),x82831)),x82833))
% 149.08/148.76 [8284]~P105(x82842)+E(x82841,f190(f880(x82842,a866)))+~P103(f326(f62(x82842),x82841))+P103(f326(f326(f241(x82842),f457(x82843,x82841,x82842)),x82843))+~P103(f326(f326(f241(x82842),f326(f64(x82842,f238(x82842)),x82841)),x82843))
% 149.08/148.76 [8369]~P103(f326(x83691,x83693))+P103(f326(x83691,f418(x83691,x83692)))+P103(f326(x83691,f404(x83691,x83692)))+~P103(f326(f326(f241(a1),f2(a1)),x83692))+P103(f326(x83691,f326(f326(f22(a1),f404(x83691,x83692)),f326(f326(f82(a1),f419(x83691,x83692)),x83692))))
% 149.08/148.76 [8591]~P103(f326(x85911,x85913))+P103(f326(x85911,f404(x85911,x85912)))+~P103(f326(f326(f241(a1),f2(a1)),x85912))+P103(f326(f326(f328(a1),f418(x85911,x85912)),f297(a1,f79(a1),x85912)))+P103(f326(x85911,f326(f326(f22(a1),f404(x85911,x85912)),f326(f326(f82(a1),f419(x85911,x85912)),x85912))))
% 149.08/148.76 [8787]~P103(f326(x87871,x87873))+~P103(f326(x87871,f404(x87871,x87872)))+P103(f326(x87871,f418(x87871,x87872)))+~P103(f326(f326(f241(a1),f2(a1)),x87872))+~P103(f326(x87871,f326(f326(f22(a1),f404(x87871,x87872)),f326(f326(f82(a1),f419(x87871,x87872)),x87872))))
% 149.08/148.76 [8912]~P103(f326(x89121,x89123))+~P103(f326(x89121,f404(x89121,x89122)))+~P103(f326(f326(f241(a1),f2(a1)),x89122))+P103(f326(f326(f328(a1),f418(x89121,x89122)),f297(a1,f79(a1),x89122)))+~P103(f326(x89121,f326(f326(f22(a1),f404(x89121,x89122)),f326(f326(f82(a1),f419(x89121,x89122)),x89122))))
% 149.08/148.76 [8698]~P76(x86981)+~P103(f326(f62(x86981),x86982))+E(f326(f326(f22(f880(x86981,a866)),x86982),f326(f326(f304(x86981),x86983),f190(f880(x86981,a866)))),f190(f880(x86981,a866)))+~P103(f326(f326(f328(x86981),x86983),x86982))+E(f326(f326(f115(x86981),x86983),f10(x86981,f326(f326(f22(f880(x86981,a866)),x86982),f326(f326(f304(x86981),x86983),f190(f880(x86981,a866)))))),f10(x86981,x86982))
% 149.08/148.76 [8699]~P76(x86991)+~P103(f326(f62(x86991),x86992))+E(f326(f326(f22(f880(x86991,a866)),x86992),f326(f326(f304(x86991),x86993),f190(f880(x86991,a866)))),f190(f880(x86991,a866)))+~P103(f326(f326(f328(x86991),x86993),x86992))+E(f326(f326(f106(x86991),x86993),f11(x86991,f326(f326(f22(f880(x86991,a866)),x86992),f326(f326(f304(x86991),x86993),f190(f880(x86991,a866)))))),f11(x86991,x86992))
% 149.08/148.76 [8700]~P105(x87001)+~P103(f326(f62(x87001),x87002))+E(f326(f326(f22(f880(x87001,a866)),x87002),f326(f326(f304(x87001),x87003),f190(f880(x87001,a866)))),f190(f880(x87001,a866)))+~P103(f326(f326(f328(x87001),x87003),x87002))+E(f326(f326(f238(x87001),x87003),f14(x87001,f326(f326(f22(f880(x87001,a866)),x87002),f326(f326(f304(x87001),x87003),f190(f880(x87001,a866)))))),f14(x87001,x87002))
% 149.08/148.76 [8701]~P105(x87011)+~P103(f326(f62(x87011),x87012))+E(f326(f326(f22(f880(x87011,a866)),x87012),f326(f326(f304(x87011),x87013),f190(f880(x87011,a866)))),f190(f880(x87011,a866)))+~P103(f326(f326(f328(x87011),x87013),x87012))+E(f326(f326(f239(x87011),x87013),f15(x87011,f326(f326(f22(f880(x87011,a866)),x87012),f326(f326(f304(x87011),x87013),f190(f880(x87011,a866)))))),f15(x87011,x87012))
% 149.08/148.76 [8759]~P105(x87591)+~P103(f326(f62(x87591),x87592))+E(f326(f326(f22(f880(x87591,a866)),x87592),f326(f326(f304(x87591),x87593),f190(f880(x87591,a866)))),f190(f880(x87591,a866)))+~P103(f326(f326(f328(x87591),x87593),x87592))+E(f326(f326(f239(x87591),x87593),f12(x87591,f239(x87591),f326(f326(f22(f880(x87591,a866)),x87592),f326(f326(f304(x87591),x87593),f190(f880(x87591,a866)))))),f12(x87591,f239(x87591),x87592))
% 149.08/148.76 [8760]~P105(x87601)+~P103(f326(f62(x87601),x87602))+E(f326(f326(f22(f880(x87601,a866)),x87602),f326(f326(f304(x87601),x87603),f190(f880(x87601,a866)))),f190(f880(x87601,a866)))+~P103(f326(f326(f328(x87601),x87603),x87602))+E(f326(f326(f238(x87601),x87603),f13(x87601,f238(x87601),f326(f326(f22(f880(x87601,a866)),x87602),f326(f326(f304(x87601),x87603),f190(f880(x87601,a866)))))),f13(x87601,f238(x87601),x87602))
% 149.08/148.76 [8774]~P76(x87741)+~P103(f326(f62(x87741),x87743))+~P103(f326(f62(x87741),x87742))+E(f326(f326(f106(f880(x87741,a866)),x87742),x87743),f190(f880(x87741,a866)))+E(f326(f326(f115(x87741),f10(x87741,f326(f326(f115(f880(x87741,a866)),x87742),x87743))),f10(x87741,f326(f326(f106(f880(x87741,a866)),x87742),x87743))),f326(f326(f115(x87741),f10(x87741,x87742)),f10(x87741,x87743)))
% 149.08/148.76 [8775]~P76(x87751)+~P103(f326(f62(x87751),x87753))+~P103(f326(f62(x87751),x87752))+E(f326(f326(f106(f880(x87751,a866)),x87752),x87753),f190(f880(x87751,a866)))+E(f326(f326(f106(x87751),f11(x87751,f326(f326(f115(f880(x87751,a866)),x87752),x87753))),f11(x87751,f326(f326(f106(f880(x87751,a866)),x87752),x87753))),f326(f326(f106(x87751),f11(x87751,x87752)),f11(x87751,x87753)))
% 149.08/148.76 [8776]~P105(x87761)+~P103(f326(f62(x87761),x87763))+~P103(f326(f62(x87761),x87762))+E(f326(f326(f106(f880(x87761,a866)),x87762),x87763),f190(f880(x87761,a866)))+E(f326(f326(f238(x87761),f14(x87761,f326(f326(f115(f880(x87761,a866)),x87762),x87763))),f14(x87761,f326(f326(f106(f880(x87761,a866)),x87762),x87763))),f326(f326(f238(x87761),f14(x87761,x87762)),f14(x87761,x87763)))
% 149.08/148.76 [8777]~P105(x87771)+~P103(f326(f62(x87771),x87773))+~P103(f326(f62(x87771),x87772))+E(f326(f326(f106(f880(x87771,a866)),x87772),x87773),f190(f880(x87771,a866)))+E(f326(f326(f239(x87771),f15(x87771,f326(f326(f115(f880(x87771,a866)),x87772),x87773))),f15(x87771,f326(f326(f106(f880(x87771,a866)),x87772),x87773))),f326(f326(f239(x87771),f15(x87771,x87772)),f15(x87771,x87773)))
% 149.08/148.76 [8999]~P105(x89991)+~P103(f326(f62(x89991),x89993))+~P103(f326(f62(x89991),x89992))+E(f326(f326(f106(f880(x89991,a866)),x89992),x89993),f190(f880(x89991,a866)))+E(f326(f326(f238(x89991),f13(x89991,f238(x89991),f326(f326(f115(f880(x89991,a866)),x89992),x89993))),f13(x89991,f238(x89991),f326(f326(f106(f880(x89991,a866)),x89992),x89993))),f326(f326(f238(x89991),f13(x89991,f238(x89991),x89992)),f13(x89991,f238(x89991),x89993)))
% 149.08/148.76 [9000]~P105(x90001)+~P103(f326(f62(x90001),x90003))+~P103(f326(f62(x90001),x90002))+E(f326(f326(f106(f880(x90001,a866)),x90002),x90003),f190(f880(x90001,a866)))+E(f326(f326(f239(x90001),f12(x90001,f239(x90001),f326(f326(f115(f880(x90001,a866)),x90002),x90003))),f12(x90001,f239(x90001),f326(f326(f106(f880(x90001,a866)),x90002),x90003))),f326(f326(f239(x90001),f12(x90001,f239(x90001),x90002)),f12(x90001,f239(x90001),x90003)))
% 149.08/148.76 [9791]~P108(x97913)+E(x97911,x97912)+~P103(f326(f326(f240(x97913),f2(x97913)),x97912))+~P103(f326(f326(f240(x97913),f2(x97913)),x97911))+~E(f326(f326(f251(x97913),x97911),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))),f326(f326(f251(x97913),x97912),f326(f108(a872),f326(f326(f81(a1),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)),f326(f326(f22(a1),f326(f326(f81(a1),a84),a84)),a102)))))
% 149.08/148.76 [6317]E(f851(x63171,x63172,x63173),x63174)+E(f326(x63171,x63174),f2(a872))+~E(f326(f326(f6(x63173,a872),x63171),x63172),f79(a872))+~P103(f326(f62(x63173),x63172))+~P103(f326(f326(f328(x63173),x63174),x63172))
% 149.08/148.76 [6380]E(f853(x63801,x63802,x63803),x63804)+E(f326(x63801,x63804),f2(a872))+~E(f326(f326(f6(x63803,a872),x63801),x63802),f326(a117,f2(a872)))+~P103(f326(f62(x63803),x63802))+~P103(f326(f326(f328(x63803),x63804),x63802))
% 149.08/148.76 [6486]~P105(x64861)+~P26(x64861)+P103(f326(f326(f241(x64861),x64862),f40(x64861,x64863)))+~P103(f326(f326(f241(x64861),x64862),x64864))+~P103(f326(f326(f328(x64861),x64864),x64863))
% 149.08/148.76 [6659]~P105(x66591)+~P26(x66591)+~P103(f326(f326(f241(x66591),x66594),x66593))+P103(f326(f326(f241(x66591),f41(x66591,x66592)),x66593))+~P103(f326(f326(f328(x66591),x66594),x66592))
% 149.08/148.76 [6918]~P108(x69183)+E(x69181,x69182)+~E(f326(f326(f251(x69183),x69181),f326(a117,x69184)),f326(f326(f251(x69183),x69182),f326(a117,x69184)))+~P103(f326(f326(f240(x69183),f2(x69183)),x69182))+~P103(f326(f326(f240(x69183),f2(x69183)),x69181))
% 149.08/148.76 [7129]~E(f858(x71292,x71293,x71291,x71294),x71294)+~E(f326(x71292,x71294),f79(a872))+E(f326(f326(f6(x71291,a872),x71292),x71293),f79(a872))+~P103(f326(f62(x71291),x71293))+~P103(f326(f326(f328(x71291),x71294),x71293))
% 149.08/148.76 [7136]~P114(x71364)+~P124(x71364)+E(f326(x71361,f446(x71361,x71362,x71363,x71364)),f2(x71364))+~E(f326(f326(f9(x71363,x71364),x71361),x71362),f2(x71364))+~P103(f326(f62(x71363),x71362))
% 149.08/148.76 [7222]~E(f856(x72222,x72223,x72221,x72224),x72224)+~E(f326(x72222,x72224),f326(a117,f2(a872)))+E(f326(f326(f6(x72221,a872),x72222),x72223),f326(a117,f2(a872)))+~P103(f326(f62(x72221),x72223))+~P103(f326(f326(f328(x72221),x72224),x72223))
% 149.08/148.76 [7958]~E(f326(x79582,x79584),f79(a872))+~E(f326(x79582,f858(x79582,x79583,x79581,x79584)),f2(a872))+E(f326(f326(f6(x79581,a872),x79582),x79583),f79(a872))+~P103(f326(f62(x79581),x79583))+~P103(f326(f326(f328(x79581),x79584),x79583))
% 149.08/148.76 [8002]~E(f326(x80022,x80024),f326(a117,f2(a872)))+~E(f326(x80022,f856(x80022,x80023,x80021,x80024)),f2(a872))+E(f326(f326(f6(x80021,a872),x80022),x80023),f326(a117,f2(a872)))+~P103(f326(f62(x80021),x80023))+~P103(f326(f326(f328(x80021),x80024),x80023))
% 149.08/148.76 [8561]~P105(x85611)+~P28(x85611,x85614)+P28(x85611,x85612)+~E(x85612,f326(f326(f147(x85611),x85613),x85614))+~P103(f326(f326(f240(x85611),x85613),f758(x85612,x85611,x85614,x85613)))
% 149.08/148.76 [8595]E(x85951,x85952)+E(f326(f326(f22(a1),f406(x85953,x85952,x85954,x85951)),f407(x85953,x85952,x85954,x85951)),x85951)+~E(f326(f326(f81(a1),x85951),x85954),x85952)+~P103(f326(f326(f241(a1),f2(a1)),x85954))+~P103(f326(f326(f328(a1),x85952),x85953))
% 149.08/148.76 [8596]E(x85961,x85962)+E(f326(f326(f81(a1),f410(x85963,x85962,x85964,x85961)),f411(x85963,x85962,x85964,x85961)),x85961)+~E(f326(f326(f22(a1),x85961),x85964),x85962)+~P103(f326(f326(f241(a1),f2(a1)),x85964))+~P103(f326(f326(f328(a1),x85962),x85963))
% 149.08/148.76 [8772]E(f326(x87721,f626(x87722,x87721,x87723,x87724)),x87722)+P103(f326(f326(f240(a872),x87724),f627(x87722,x87721,x87723,x87724)))+~P103(f326(f326(f240(a1),x87722),f326(x87721,x87723)))+~P103(f326(f326(f241(a872),x87724),x87723))+~P103(f326(f326(f240(a1),f326(x87721,x87724)),x87722))
% 149.08/148.76 [8773]~P105(x87731)+~P28(x87731,x87733)+P28(x87731,x87732)+~E(x87732,f326(f326(f147(x87731),x87734),x87733))+P103(f326(f326(f328(x87731),f758(x87732,x87731,x87733,x87734)),f326(f168(x87731),x87733)))
% 149.08/148.76 [8791]~P114(x87914)+~P124(x87914)+~E(f326(f326(f9(x87911,x87914),x87912),x87913),f2(x87914))+~P103(f326(f62(x87911),x87913))+P103(f326(f326(f328(x87911),f446(x87912,x87913,x87911,x87914)),x87913))
% 149.08/148.76 [8826]~E(f326(x88262,x88264),f79(a872))+E(f326(f326(f6(x88261,a872),x88262),x88263),f79(a872))+~P103(f326(f62(x88261),x88263))+~P103(f326(f326(f328(x88261),x88264),x88263))+P103(f326(f326(f328(x88261),f858(x88262,x88263,x88261,x88264)),x88263))
% 149.08/148.76 [8835]E(x88351,x88352)+~E(f326(f326(f81(a1),x88352),x88354),x88351)+~P103(f326(f326(f241(a1),f2(a1)),x88354))+~P103(f326(f326(f328(a1),x88351),x88353))+P103(f326(f326(f328(a1),f406(x88353,x88351,x88354,x88352)),x88353))
% 149.08/148.76 [8836]E(x88361,x88362)+~E(f326(f326(f22(a1),x88362),x88364),x88361)+~P103(f326(f326(f241(a1),f2(a1)),x88364))+~P103(f326(f326(f328(a1),x88361),x88363))+P103(f326(f326(f328(a1),f410(x88363,x88361,x88364,x88362)),x88363))
% 149.08/148.76 [8838]~E(f326(x88382,x88384),f326(a117,f2(a872)))+E(f326(f326(f6(x88381,a872),x88382),x88383),f326(a117,f2(a872)))+~P103(f326(f62(x88381),x88383))+~P103(f326(f326(f328(x88381),x88384),x88383))+P103(f326(f326(f328(x88381),f856(x88382,x88383,x88381,x88384)),x88383))
% 149.08/148.76 [8843]P54(x88432,x88433,x88434,x88431)+E(x88431,f190(f880(x88432,a866)))+~P103(f326(f62(x88432),x88434))+~P103(f326(f62(x88432),x88431))+P103(f326(f326(f328(x88432),f561(x88431,x88434,x88433,x88432)),x88434))
% 149.08/148.76 [8926]E(x89261,x89262)+~E(f326(f326(f81(a1),x89262),x89264),x89261)+~P103(f326(f326(f241(a1),f2(a1)),x89264))+~P103(f326(f326(f328(a1),x89261),x89263))+P103(f326(f326(f328(a1),f407(x89263,x89261,x89264,x89262)),f297(a1,f79(a1),x89264)))
% 149.08/148.76 [8927]E(x89271,x89272)+~E(f326(f326(f22(a1),x89272),x89274),x89271)+~P103(f326(f326(f241(a1),f2(a1)),x89274))+~P103(f326(f326(f328(a1),x89271),x89273))+P103(f326(f326(f328(a1),f411(x89273,x89271,x89274,x89272)),f297(a1,f79(a1),x89274)))
% 149.08/148.76 [9005]P103(f326(f326(f240(a872),x90051),f626(x90052,x90053,x90054,x90051)))+~P103(f326(f326(f240(a1),x90052),f326(x90053,x90054)))+P103(f326(f326(f240(a872),x90051),f627(x90052,x90053,x90054,x90051)))+~P103(f326(f326(f241(a872),x90051),x90054))+~P103(f326(f326(f240(a1),f326(x90053,x90051)),x90052))
% 149.08/148.76 [9115]E(f326(x91151,f626(x91152,x91151,x91153,x91154)),x91152)+~P103(f326(f326(f240(a1),x91152),f326(x91151,x91153)))+P103(f326(f326(f241(a872),f627(x91152,x91151,x91153,x91154)),x91153))+~P103(f326(f326(f241(a872),x91154),x91153))+~P103(f326(f326(f240(a1),f326(x91151,x91154)),x91152))
% 149.08/148.76 [9246]~P103(f326(f326(f240(a1),x92462),f326(x92463,x92464)))+P103(f326(f326(f240(a872),x92461),f627(x92462,x92463,x92464,x92461)))+P103(f326(f326(f240(a872),f626(x92462,x92463,x92464,x92461)),x92464))+~P103(f326(f326(f241(a872),x92461),x92464))+~P103(f326(f326(f240(a1),f326(x92463,x92461)),x92462))
% 149.08/148.76 [9247]~P103(f326(f326(f240(a1),x92472),f326(x92473,x92474)))+P103(f326(f326(f240(a872),x92471),f626(x92472,x92473,x92474,x92471)))+P103(f326(f326(f241(a872),f627(x92472,x92473,x92474,x92471)),x92474))+~P103(f326(f326(f241(a872),x92471),x92474))+~P103(f326(f326(f240(a1),f326(x92473,x92471)),x92472))
% 149.08/148.76 [9354]~P103(f326(f326(f240(a1),x93541),f326(x93542,x93543)))+P103(f326(f326(f241(a872),f627(x93541,x93542,x93543,x93544)),x93543))+~P103(f326(f326(f241(a872),x93544),x93543))+~P103(f326(f326(f240(a1),f326(x93542,x93544)),x93541))+P103(f326(f326(f240(a872),f626(x93541,x93542,x93543,x93544)),x93543))
% 149.08/148.76 [9432]E(x94321,f190(f880(x94322,a866)))+~P103(f326(f62(x94322),x94324))+~P103(f326(f62(x94322),x94321))+P103(f326(f326(f328(f879(f880(x94322,a866),f880(x94322,a866))),f326(f326(f261(f880(x94322,a866),f880(x94322,a866)),x94324),x94321)),f317(x94322,x94323)))+P103(f326(f326(f328(x94322),f568(x94323,x94321,x94324,x94322)),x94324))
% 149.08/148.76 [9433]E(x94331,f190(f880(x94332,a866)))+~P103(f326(f62(x94332),x94334))+~P103(f326(f62(x94332),x94331))+P103(f326(f326(f328(f879(f880(x94332,a866),f880(x94332,a866))),f326(f326(f261(f880(x94332,a866),f880(x94332,a866)),x94334),x94331)),f317(x94332,x94333)))+P103(f326(f326(f328(x94332),f629(x94333,x94331,x94334,x94332)),x94334))
% 149.08/148.76 [10093]E(f326(x100931,f626(x100932,x100931,x100933,x100934)),x100932)+~P103(f326(f326(f240(a1),x100932),f326(x100931,x100933)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x100931,f326(f326(f81(a872),f627(x100932,x100931,x100933,x100934)),f79(a872)))),f326(x100931,f627(x100932,x100931,x100933,x100934))))),f79(a1)))+~P103(f326(f326(f241(a872),x100934),x100933))+~P103(f326(f326(f240(a1),f326(x100931,x100934)),x100932))
% 149.08/148.76 [10094]~P103(f326(f326(f240(a1),x100942),f326(x100943,x100944)))+P103(f326(f326(f240(a872),x100941),f626(x100942,x100943,x100944,x100941)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x100943,f326(f326(f81(a872),f627(x100942,x100943,x100944,x100941)),f79(a872)))),f326(x100943,f627(x100942,x100943,x100944,x100941))))),f79(a1)))+~P103(f326(f326(f241(a872),x100941),x100944))+~P103(f326(f326(f240(a1),f326(x100943,x100941)),x100942))
% 149.08/148.76 [10095]~P103(f326(f326(f240(a1),x100951),f326(x100952,x100953)))+~P103(f326(f326(f240(a1),f326(f76(a1),f326(f326(f22(a1),f326(x100952,f326(f326(f81(a872),f627(x100951,x100952,x100953,x100954)),f79(a872)))),f326(x100952,f627(x100951,x100952,x100953,x100954))))),f79(a1)))+~P103(f326(f326(f241(a872),x100954),x100953))+~P103(f326(f326(f240(a1),f326(x100952,x100954)),x100951))+P103(f326(f326(f240(a872),f626(x100951,x100952,x100953,x100954)),x100953))
% 149.08/148.76 [7189]~P61(x71891)+P103(f326(f326(f241(x71891),x71892),f2(x71891)))+~P103(f326(f326(f240(x71891),x71893),f2(x71891)))+P103(f326(f326(f241(x71891),f2(x71891)),x71892))+P103(f326(f326(f240(x71891),x71893),f326(f326(f284(x71891),x71894),x71892)))
% 149.08/148.76 [7190]~P61(x71901)+P103(f326(f326(f241(x71901),x71902),f2(x71901)))+~P103(f326(f326(f241(x71901),x71903),f2(x71901)))+P103(f326(f326(f241(x71901),f2(x71901)),x71902))+P103(f326(f326(f241(x71901),x71903),f326(f326(f284(x71901),x71904),x71902)))
% 149.08/148.76 [7439]~P61(x74391)+P103(f326(f326(f240(x74391),x74392),f2(x74391)))+P103(f326(f326(f241(x74391),x74393),f2(x74391)))+P103(f326(f326(f241(x74391),f2(x74391)),x74393))+~P103(f326(f326(f240(x74391),x74392),f326(f326(f284(x74391),x74394),x74393)))
% 149.08/148.76 [7440]~P61(x74401)+P103(f326(f326(f241(x74401),x74402),f2(x74401)))+P103(f326(f326(f241(x74401),x74403),f2(x74401)))+P103(f326(f326(f241(x74401),f2(x74401)),x74403))+~P103(f326(f326(f241(x74401),x74402),f326(f326(f284(x74401),x74404),x74403)))
% 149.08/148.76 [7558]E(x75581,x75582)+~E(f326(f326(f161(x75583),x75584),x75581),f326(f326(f161(x75583),x75584),x75582))+~P103(f326(f133(x75583),x75584))+~P103(f326(f326(f241(a872),x75582),f326(f191(f873(x75583)),x75584)))+~P103(f326(f326(f241(a872),x75581),f326(f191(f873(x75583)),x75584)))
% 149.08/148.76 [7920]~P61(x79201)+~P103(f326(f326(f240(x79201),x79203),f2(x79201)))+P103(f326(f326(f241(x79201),f2(x79201)),x79202))+~P103(f326(f326(f240(x79201),x79204),f326(f326(f82(x79201),x79203),x79202)))+P103(f326(f326(f240(x79201),x79203),f326(f326(f284(x79201),x79204),x79202)))
% 149.08/148.76 [7921]~P61(x79211)+~P103(f326(f326(f241(x79211),x79213),f2(x79211)))+P103(f326(f326(f241(x79211),f2(x79211)),x79212))+~P103(f326(f326(f241(x79211),x79214),f326(f326(f82(x79211),x79213),x79212)))+P103(f326(f326(f241(x79211),x79213),f326(f326(f284(x79211),x79214),x79212)))
% 149.08/148.76 [7922]~P61(x79221)+~P103(f326(f326(f241(x79221),x79222),f2(x79221)))+P103(f326(f326(f241(x79221),f2(x79221)),x79222))+~P103(f326(f326(f240(x79221),x79224),f326(f326(f82(x79221),x79223),x79222)))+P103(f326(f326(f240(x79221),x79223),f326(f326(f284(x79221),x79224),x79222)))
% 149.08/148.76 [7923]~P61(x79231)+~P103(f326(f326(f241(x79231),x79232),f2(x79231)))+P103(f326(f326(f241(x79231),f2(x79231)),x79232))+~P103(f326(f326(f240(x79231),x79234),f326(f326(f284(x79231),x79233),x79232)))+P103(f326(f326(f240(x79231),x79233),f326(f326(f82(x79231),x79234),x79232)))
% 149.08/148.76 [7924]~P61(x79241)+~P103(f326(f326(f241(x79241),x79242),f2(x79241)))+P103(f326(f326(f241(x79241),f2(x79241)),x79242))+~P103(f326(f326(f241(x79241),x79244),f326(f326(f82(x79241),x79243),x79242)))+P103(f326(f326(f241(x79241),x79243),f326(f326(f284(x79241),x79244),x79242)))
% 149.08/148.76 [7925]~P61(x79251)+~P103(f326(f326(f241(x79251),x79252),f2(x79251)))+P103(f326(f326(f241(x79251),f2(x79251)),x79252))+~P103(f326(f326(f241(x79251),x79254),f326(f326(f284(x79251),x79253),x79252)))+P103(f326(f326(f241(x79251),x79253),f326(f326(f82(x79251),x79254),x79252)))
% 149.08/148.76 [8070]~P105(x80701)+~P28(x80701,x80702)+~P103(f326(f326(f240(a872),x80703),x80704))+P103(f326(f326(f240(x80701),f326(f326(f161(x80701),x80702),x80703)),f326(f326(f161(x80701),x80702),x80704)))+~P103(f326(f326(f241(a872),x80704),f326(f191(f873(x80701)),x80702)))
% 149.08/148.76 [8121]~P108(x81211)+~P103(f326(f326(f240(x81211),x81212),f79(x81211)))+~P103(f326(f326(f240(x81211),f2(x81211)),x81212))+~P103(f326(f326(f240(a872),x81214),x81213))+P103(f326(f326(f240(x81211),f326(f326(f251(x81211),x81212),x81213)),f326(f326(f251(x81211),x81212),x81214)))
% 149.08/148.76 [8122]~P108(x81221)+~P103(f326(f326(f241(x81221),x81222),f79(x81221)))+~P103(f326(f326(f241(x81221),f2(x81221)),x81222))+~P103(f326(f326(f241(a872),x81224),x81223))+P103(f326(f326(f241(x81221),f326(f326(f251(x81221),x81222),x81223)),f326(f326(f251(x81221),x81222),x81224)))
% 149.08/148.76 [8123]~P108(x81231)+~P103(f326(f326(f240(x81231),f2(x81231)),x81232))+~P103(f326(f326(f241(a872),f2(a872)),x81233))+~P103(f326(f326(f241(x81231),x81232),x81234))+P103(f326(f326(f241(x81231),f326(f326(f251(x81231),x81232),x81233)),f326(f326(f251(x81231),x81234),x81233)))
% 149.08/148.76 [8143]~P105(x81431)+~P28(x81431,f326(f165(x81431),x81432))+~P103(f326(f326(f240(a872),x81434),x81433))+P103(f326(f326(f240(x81431),f326(f326(f161(x81431),x81432),x81433)),f326(f326(f161(x81431),x81432),x81434)))+~P103(f326(f326(f241(a872),x81433),f326(f191(f873(x81431)),x81432)))
% 149.08/148.76 [8391]~P61(x83911)+~P103(f326(f326(f240(x83911),x83912),f2(x83911)))+~P103(f326(f326(f240(x83911),x83913),x83914))+~P103(f326(f326(f241(x83911),f2(x83911)),f326(f326(f82(x83911),x83913),x83914)))+P103(f326(f326(f240(x83911),f326(f326(f284(x83911),x83912),x83913)),f326(f326(f284(x83911),x83912),x83914)))
% 149.08/148.76 [8392]~P62(x83921)+~P103(f326(f326(f241(x83921),x83922),f2(x83921)))+~P103(f326(f326(f241(x83921),x83923),x83924))+~P103(f326(f326(f241(x83921),f2(x83921)),f326(f326(f82(x83921),x83923),x83924)))+P103(f326(f326(f241(x83921),f326(f326(f284(x83921),x83922),x83923)),f326(f326(f284(x83921),x83922),x83924)))
% 149.08/148.76 [8402]~P62(x84021)+~P103(f326(f326(f240(x84021),x84024),x84023))+~P103(f326(f326(f240(x84021),f2(x84021)),x84022))+~P103(f326(f326(f241(x84021),f2(x84021)),f326(f326(f82(x84021),x84023),x84024)))+P103(f326(f326(f240(x84021),f326(f326(f284(x84021),x84022),x84023)),f326(f326(f284(x84021),x84022),x84024)))
% 149.08/148.76 [8403]~P62(x84031)+~P103(f326(f326(f241(x84031),x84034),x84033))+~P103(f326(f326(f241(x84031),f2(x84031)),x84032))+~P103(f326(f326(f241(x84031),f2(x84031)),f326(f326(f82(x84031),x84033),x84034)))+P103(f326(f326(f241(x84031),f326(f326(f284(x84031),x84032),x84033)),f326(f326(f284(x84031),x84032),x84034)))
% 149.08/148.76 [8511]P103(f326(x85111,x85112))+~P103(f326(f62(x85114),x85112))+P103(f326(x85111,f575(x85111,x85113,x85112,x85114)))+~P103(f326(x85111,f190(f880(x85114,a866))))+~P103(f326(f326(f240(f880(x85114,a866)),x85112),x85113))
% 149.08/148.76 [8519]P103(f326(x85191,x85192))+P103(f326(f62(x85193),f575(x85191,x85194,x85192,x85193)))+~P103(f326(f62(x85193),x85192))+~P103(f326(x85191,f190(f880(x85193,a866))))+~P103(f326(f326(f240(f880(x85193,a866)),x85192),x85194))
% 149.08/148.76 [8767]E(f326(f326(f81(a1),f412(x87671,x87672,x87673,x87674)),f413(x87671,x87672,x87673,x87674)),x87674)+~P103(f326(f326(f241(a1),f2(a1)),x87673))+~P103(f326(f326(f241(a1),x87672),x87674))+~P103(f326(f326(f328(a1),x87672),x87671))+P103(f326(f326(f241(a1),x87672),f326(f326(f22(a1),x87674),x87673)))
% 149.08/148.76 [8986]~P103(f326(f326(f241(a1),f2(a1)),x89863))+~P103(f326(f326(f241(a1),x89862),x89864))+~P103(f326(f326(f328(a1),x89862),x89861))+P103(f326(f326(f328(a1),f412(x89861,x89862,x89863,x89864)),x89861))+P103(f326(f326(f241(a1),x89862),f326(f326(f22(a1),x89864),x89863)))
% 149.08/148.76 [8998]P103(f326(x89981,x89982))+~P103(f326(f62(x89983),x89982))+P103(f326(f326(f328(x89983),f565(x89981,x89984,x89982,x89983)),x89984))+~P103(f326(x89981,f190(f880(x89983,a866))))+~P103(f326(f326(f240(f880(x89983,a866)),x89982),x89984))
% 149.08/148.76 [9015]E(f326(f326(f81(a1),f395(x90151,x90152,x90153,x90154)),f396(x90151,x90152,x90153,x90154)),x90154)+~P103(f326(f326(f241(a1),f2(a1)),x90153))+~P103(f326(f326(f240(a1),x90152),x90154))+P103(f326(f326(f240(a1),x90152),f326(f326(f22(a1),x90154),x90153)))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x90152),f79(a1))),x90151))
% 149.08/148.76 [9067]~P103(f326(f326(f241(a1),f2(a1)),x90673))+~P103(f326(f326(f241(a1),x90671),x90672))+~P103(f326(f326(f328(a1),x90671),x90674))+P103(f326(f326(f328(a1),f413(x90674,x90671,x90673,x90672)),f297(a1,f79(a1),x90673)))+P103(f326(f326(f241(a1),x90671),f326(f326(f22(a1),x90672),x90673)))
% 149.08/148.76 [9162]~P103(f326(f326(f241(a1),f2(a1)),x91623))+~P103(f326(f326(f240(a1),x91622),x91624))+P103(f326(f326(f328(a1),f395(x91621,x91622,x91623,x91624)),x91621))+P103(f326(f326(f240(a1),x91622),f326(f326(f22(a1),x91624),x91623)))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x91622),f79(a1))),x91621))
% 149.08/148.76 [9202]~P103(f326(f326(f241(a1),f2(a1)),x92023))+~P103(f326(f326(f240(a1),x92021),x92022))+P103(f326(f326(f328(a1),f396(x92024,x92021,x92023,x92022)),f297(a1,f79(a1),x92023)))+P103(f326(f326(f240(a1),x92021),f326(f326(f22(a1),x92022),x92023)))+~P103(f326(f326(f328(a1),f326(f326(f22(a1),x92021),f79(a1))),x92024))
% 149.08/148.76 [9435]P103(f326(x94351,x94352))+~P103(f326(f326(f328(x94353),f565(x94351,x94354,x94352,x94353)),f575(x94351,x94354,x94352,x94353)))+~P103(f326(f62(x94353),x94352))+~P103(f326(x94351,f190(f880(x94353,a866))))+~P103(f326(f326(f240(f880(x94353,a866)),x94352),x94354))
% 149.08/148.76 [9651]P103(f326(x96511,x96512))+~P103(f326(f62(x96513),x96512))+~P103(f326(x96511,f326(f326(f304(x96513),f565(x96511,x96514,x96512,x96513)),f575(x96511,x96514,x96512,x96513))))+~P103(f326(x96511,f190(f880(x96513,a866))))+~P103(f326(f326(f240(f880(x96513,a866)),x96512),x96514))
% 149.08/148.76 [7694]~P61(x76941)+P103(f326(f326(f241(x76941),x76942),f2(x76941)))+~P103(f326(f326(f240(x76941),f2(x76941)),x76944))+P103(f326(f326(f241(x76941),f2(x76941)),x76942))+P103(f326(f326(f240(x76941),f326(f326(f284(x76941),x76943),x76942)),x76944))
% 149.08/148.76 [7695]~P61(x76951)+P103(f326(f326(f241(x76951),x76952),f2(x76951)))+P103(f326(f326(f241(x76951),f2(x76951)),x76952))+~P103(f326(f326(f241(x76951),f2(x76951)),x76954))+P103(f326(f326(f241(x76951),f326(f326(f284(x76951),x76953),x76952)),x76954))
% 149.08/148.76 [7974]~P103(f326(f326(f240(a1),x79744),f2(a1)))+~E(x79742,f326(f326(f81(a1),f326(f326(f82(a1),x79741),x79743)),x79744))+P103(f326(f326(f241(a1),f2(a1)),x79741))+~P103(f326(f326(f241(a1),x79741),x79744))+P103(f326(f49(x79742,x79741),f326(f326(f261(a1,a1),x79743),x79744)))
% 149.08/148.76 [8013]~P103(f326(x80131,x80134))+P103(f326(x80131,f431(x80132,x80131,x80133)))+~P103(f326(f326(f240(a1),f2(a1)),x80132))+~P103(f326(f326(f241(a1),f2(a1)),x80133))+P103(f326(x80131,f326(f326(f22(a1),x80134),f326(f326(f82(a1),x80132),x80133))))
% 149.08/148.76 [8014]~P103(f326(x80141,x80144))+P103(f326(x80141,f434(x80142,x80141,x80143)))+~P103(f326(f326(f240(a1),f2(a1)),x80142))+~P103(f326(f326(f241(a1),f2(a1)),x80143))+P103(f326(x80141,f326(f326(f81(a1),x80144),f326(f326(f82(a1),x80142),x80143))))
% 149.08/148.76 [8015]~P61(x80151)+P103(f326(f326(f241(x80151),x80152),f2(x80151)))+P103(f326(f326(f241(x80151),f2(x80151)),x80152))+P103(f326(f326(f240(x80151),f2(x80151)),x80153))+~P103(f326(f326(f240(x80151),f326(f326(f284(x80151),x80154),x80152)),x80153))
% 149.08/148.76 [8016]~P61(x80161)+P103(f326(f326(f241(x80161),x80162),f2(x80161)))+P103(f326(f326(f241(x80161),f2(x80161)),x80162))+P103(f326(f326(f241(x80161),f2(x80161)),x80163))+~P103(f326(f326(f241(x80161),f326(f326(f284(x80161),x80164),x80162)),x80163))
% 149.08/148.76 [8064]~E(x80641,f326(f326(f81(a1),f326(f326(f82(a1),x80642),x80643)),x80644))+~P103(f326(f326(f240(a1),f2(a1)),x80644))+~P103(f326(f326(f241(a1),f2(a1)),x80642))+~P103(f326(f326(f241(a1),x80644),x80642))+P103(f326(f49(x80641,x80642),f326(f326(f261(a1,a1),x80643),x80644)))
% 149.08/148.76 [8187]~P61(x81871)+P103(f326(f326(f241(x81871),x81872),f2(x81871)))+~P103(f326(f326(f240(x81871),f2(x81871)),x81874))+~P103(f326(f326(f240(x81871),x81873),f326(f326(f82(x81871),x81874),x81872)))+P103(f326(f326(f240(x81871),f326(f326(f284(x81871),x81873),x81872)),x81874))
% 149.08/148.76 [8188]~P61(x81881)+P103(f326(f326(f241(x81881),x81882),f2(x81881)))+~P103(f326(f326(f241(x81881),f2(x81881)),x81884))+~P103(f326(f326(f241(x81881),x81883),f326(f326(f82(x81881),x81884),x81882)))+P103(f326(f326(f241(x81881),f326(f326(f284(x81881),x81883),x81882)),x81884))
% 149.08/148.76 [8269]~P61(x82691)+P103(f326(f326(f241(x82691),x82692),f2(x82691)))+~P103(f326(f326(f240(x82691),x82693),f2(x82691)))+P103(f326(f326(f240(x82691),x82693),f326(f326(f284(x82691),x82694),x82692)))+~P103(f326(f326(f240(x82691),f326(f326(f82(x82691),x82693),x82692)),x82694))
% 149.08/148.76 [8270]~P61(x82701)+P103(f326(f326(f241(x82701),x82702),f2(x82701)))+~P103(f326(f326(f241(x82701),x82703),f2(x82701)))+P103(f326(f326(f241(x82701),x82703),f326(f326(f284(x82701),x82704),x82702)))+~P103(f326(f326(f241(x82701),f326(f326(f82(x82701),x82703),x82702)),x82704))
% 149.08/148.76 [8428]~P61(x84281)+~P103(f326(f326(f241(x84281),x84282),f2(x84281)))+P103(f326(f326(f241(x84281),f2(x84281)),x84282))+~P103(f326(f326(f240(x84281),f326(f326(f284(x84281),x84284),x84282)),x84283))+P103(f326(f326(f240(x84281),f326(f326(f82(x84281),x84283),x84282)),x84284))
% 149.08/148.76 [8429]~P61(x84291)+~P103(f326(f326(f241(x84291),x84292),f2(x84291)))+P103(f326(f326(f241(x84291),f2(x84291)),x84292))+~P103(f326(f326(f240(x84291),f326(f326(f82(x84291),x84294),x84292)),x84293))+P103(f326(f326(f240(x84291),f326(f326(f284(x84291),x84293),x84292)),x84294))
% 149.08/148.76 [8430]~P61(x84301)+~P103(f326(f326(f241(x84301),x84302),f2(x84301)))+P103(f326(f326(f241(x84301),f2(x84301)),x84302))+~P103(f326(f326(f241(x84301),f326(f326(f284(x84301),x84304),x84302)),x84303))+P103(f326(f326(f241(x84301),f326(f326(f82(x84301),x84303),x84302)),x84304))
% 149.08/148.76 [8431]~P61(x84311)+~P103(f326(f326(f241(x84311),x84312),f2(x84311)))+P103(f326(f326(f241(x84311),f2(x84311)),x84312))+~P103(f326(f326(f241(x84311),f326(f326(f82(x84311),x84314),x84312)),x84313))+P103(f326(f326(f241(x84311),f326(f326(f284(x84311),x84313),x84312)),x84314))
% 149.08/148.76 [8454]~P61(x84541)+~P103(f326(f326(f240(x84541),f2(x84541)),x84544))+P103(f326(f326(f241(x84541),f2(x84541)),x84542))+~P103(f326(f326(f240(x84541),f326(f326(f82(x84541),x84544),x84542)),x84543))+P103(f326(f326(f240(x84541),f326(f326(f284(x84541),x84543),x84542)),x84544))
% 149.08/148.76 [8455]~P61(x84551)+~P103(f326(f326(f241(x84551),f2(x84551)),x84554))+P103(f326(f326(f241(x84551),f2(x84551)),x84552))+~P103(f326(f326(f241(x84551),f326(f326(f82(x84551),x84554),x84552)),x84553))+P103(f326(f326(f241(x84551),f326(f326(f284(x84551),x84553),x84552)),x84554))
% 149.08/148.76 [8527]~P61(x85271)+~P103(f326(f326(f241(x85271),x85274),f2(x85271)))+~P103(f326(f326(f240(x85271),x85273),f326(f326(f82(x85271),x85272),x85274)))+P103(f326(f326(f240(x85271),x85272),f326(f326(f284(x85271),x85273),x85274)))+~P103(f326(f326(f240(x85271),f326(f326(f82(x85271),x85272),x85274)),x85273))
% 149.08/148.76 [8528]~P61(x85281)+~P103(f326(f326(f240(x85281),x85282),f2(x85281)))+~P103(f326(f326(f240(x85281),x85283),f326(f326(f82(x85281),x85282),x85284)))+P103(f326(f326(f240(x85281),x85282),f326(f326(f284(x85281),x85283),x85284)))+~P103(f326(f326(f240(x85281),f326(f326(f82(x85281),x85282),x85284)),x85283))
% 149.08/148.76 [8529]~P61(x85291)+~P103(f326(f326(f241(x85291),x85294),f2(x85291)))+~P103(f326(f326(f241(x85291),x85293),f326(f326(f82(x85291),x85292),x85294)))+P103(f326(f326(f241(x85291),x85292),f326(f326(f284(x85291),x85293),x85294)))+~P103(f326(f326(f241(x85291),f326(f326(f82(x85291),x85292),x85294)),x85293))
% 149.08/148.76 [8530]~P61(x85301)+~P103(f326(f326(f241(x85301),x85302),f2(x85301)))+~P103(f326(f326(f241(x85301),x85303),f326(f326(f82(x85301),x85302),x85304)))+P103(f326(f326(f241(x85301),x85302),f326(f326(f284(x85301),x85303),x85304)))+~P103(f326(f326(f241(x85301),f326(f326(f82(x85301),x85302),x85304)),x85303))
% 149.08/148.76 [8643]~P61(x86431)+~P103(f326(f326(f241(x86431),x86433),f2(x86431)))+~P103(f326(f326(f240(x86431),x86432),f326(f326(f82(x86431),x86434),x86433)))+~P103(f326(f326(f240(x86431),f326(f326(f82(x86431),x86434),x86433)),x86432))+P103(f326(f326(f240(x86431),f326(f326(f284(x86431),x86432),x86433)),x86434))
% 149.08/148.76 [8644]~P61(x86441)+~P103(f326(f326(f241(x86441),x86443),f2(x86441)))+~P103(f326(f326(f241(x86441),x86442),f326(f326(f82(x86441),x86444),x86443)))+~P103(f326(f326(f241(x86441),f326(f326(f82(x86441),x86444),x86443)),x86442))+P103(f326(f326(f241(x86441),f326(f326(f284(x86441),x86442),x86443)),x86444))
% 149.08/148.76 [8659]~P61(x86591)+~P103(f326(f326(f240(x86591),f2(x86591)),x86594))+~P103(f326(f326(f240(x86591),x86592),f326(f326(f82(x86591),x86594),x86593)))+~P103(f326(f326(f240(x86591),f326(f326(f82(x86591),x86594),x86593)),x86592))+P103(f326(f326(f240(x86591),f326(f326(f284(x86591),x86592),x86593)),x86594))
% 149.08/148.76 [8660]~P61(x86601)+~P103(f326(f326(f241(x86601),f2(x86601)),x86604))+~P103(f326(f326(f241(x86601),x86602),f326(f326(f82(x86601),x86604),x86603)))+~P103(f326(f326(f241(x86601),f326(f326(f82(x86601),x86604),x86603)),x86602))+P103(f326(f326(f241(x86601),f326(f326(f284(x86601),x86602),x86603)),x86604))
% 149.08/148.76 [8828]E(f326(f326(f22(a1),f408(x88281,x88282,x88283,x88284)),f409(x88281,x88282,x88283,x88284)),x88284)+~P103(f326(f326(f241(a1),f2(a1)),x88283))+~P103(f326(f326(f328(a1),x88282),x88281))+~P103(f326(f326(f241(a1),x88284),x88282))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x88284),x88283)),x88282))
% 149.08/148.76 [8908]~P103(f326(x89081,x89082))+~P103(f326(f326(f240(a1),f2(a1)),x89083))+~P103(f326(f326(f241(a1),f2(a1)),x89084))+~P103(f326(x89081,f326(f326(f22(a1),f431(x89083,x89081,x89084)),x89084)))+P103(f326(x89081,f326(f326(f22(a1),x89082),f326(f326(f82(a1),x89083),x89084))))
% 149.08/148.76 [8909]~P103(f326(x89091,x89092))+~P103(f326(f326(f240(a1),f2(a1)),x89093))+~P103(f326(f326(f241(a1),f2(a1)),x89094))+~P103(f326(x89091,f326(f326(f81(a1),f434(x89093,x89091,x89094)),x89094)))+P103(f326(x89091,f326(f326(f81(a1),x89092),f326(f326(f82(a1),x89093),x89094))))
% 149.08/148.76 [9061]~P103(f326(f326(f241(a1),f2(a1)),x90613))+~P103(f326(f326(f328(a1),x90612),x90611))+~P103(f326(f326(f241(a1),x90614),x90612))+P103(f326(f326(f328(a1),f408(x90611,x90612,x90613,x90614)),x90611))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x90614),x90613)),x90612))
% 149.08/148.76 [9081]E(f326(f326(f22(a1),f397(x90811,x90812,x90813,x90814)),f398(x90811,x90812,x90813,x90814)),x90814)+~P103(f326(f326(f241(a1),f2(a1)),x90813))+~P103(f326(f326(f240(a1),x90814),x90812))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x90812),f79(a1))),x90811))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x90814),x90813)),x90812))
% 149.08/148.76 [9107]~P103(f326(f326(f241(a1),f2(a1)),x91072))+~P103(f326(f326(f328(a1),x91073),x91074))+~P103(f326(f326(f241(a1),x91071),x91073))+P103(f326(f326(f328(a1),f409(x91074,x91073,x91072,x91071)),f297(a1,f79(a1),x91072)))+P103(f326(f326(f241(a1),f326(f326(f81(a1),x91071),x91072)),x91073))
% 149.08/148.76 [9197]~P103(f326(f326(f241(a1),f2(a1)),x91973))+~P103(f326(f326(f240(a1),x91974),x91972))+P103(f326(f326(f328(a1),f397(x91971,x91972,x91973,x91974)),x91971))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x91972),f79(a1))),x91971))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x91974),x91973)),x91972))
% 149.08/148.76 [9242]~P103(f326(f326(f241(a1),f2(a1)),x92422))+~P103(f326(f326(f240(a1),x92421),x92423))+P103(f326(f326(f328(a1),f398(x92424,x92423,x92422,x92421)),f297(a1,f79(a1),x92422)))+~P103(f326(f326(f328(a1),f326(f326(f81(a1),x92423),f79(a1))),x92424))+P103(f326(f326(f240(a1),f326(f326(f81(a1),x92421),x92422)),x92423))
% 149.08/148.76 [9527]~P37(x95271,x95273)+~P22(x95271,x95274)+P37(x95271,f326(f326(f115(f880(f879(x95271,x95271),a866)),x95272),x95273))+~P103(f326(f326(f240(f880(f879(x95271,x95271),a866)),x95272),f326(f260(f880(f879(x95271,x95271),a866),f880(f879(x95271,x95271),a866)),x95274)))+~P103(f326(f326(f240(f880(f879(x95271,x95271),a866)),x95273),f326(f264(f880(f879(x95271,x95271),a866),f880(f879(x95271,x95271),a866)),x95274)))
% 149.08/148.76 [9819]~E(f326(f526(x98191,x98194,x98193,x98192),f528(x98191,x98194,x98193,x98192)),f193(f873(a322)))+P103(f326(f326(f241(a1),f527(x98191,x98194,x98193,x98192)),f528(x98191,x98194,x98193,x98192)))+P103(f326(f326(f326(x98191,x98192),x98193),x98194))+P103(f326(f326(f326(x98191,f526(x98191,x98194,x98193,x98192)),f527(x98191,x98194,x98193,x98192)),f326(f326(f81(a1),f528(x98191,x98194,x98193,x98192)),f79(a1))))+~P103(f326(f314(f879(f880(a1,f876(f873(a322))),f879(a1,a1)),a312),f326(f326(f261(f880(a1,f876(f873(a322))),f879(a1,a1)),x98192),f326(f326(f261(a1,a1),x98193),x98194))))
% 149.08/148.76 [9920]~P14(x99202,x99204,x99203)+E(x99201,f190(f880(x99202,a866)))+~P103(f326(f62(x99202),x99201))+P103(f326(f326(f328(x99202),f326(x99203,x99201)),x99201))+~P103(f326(f326(f328(x99202),f326(f326(x99204,f521(x99201,x99203,x99204,x99202)),f532(x99201,x99203,x99204,x99202))),f326(f326(f304(x99202),f521(x99201,x99203,x99204,x99202)),f326(f326(f304(x99202),f532(x99201,x99203,x99204,x99202)),f190(f880(x99202,a866))))))
% 149.08/148.76 [9851]~P107(x98512)+~P58(x98511)+~P103(f326(f326(f240(f880(x98511,x98512)),x98513),x98514))+P103(f326(f326(f241(f880(x98511,x98512)),x98513),x98514))+~P103(f326(f58(x98511),f326(f326(f8(a866,a866,x98511),a321),f326(f326(f18(x98511,x98512,a866),f326(f326(f8(x98512,f880(x98512,a866),x98511),a323),x98513)),x98514))))
% 149.08/148.76 [9443]~P50(x94431,x94431,x94434)+P103(f326(f326(f328(f879(x94431,x94431)),f326(f326(f261(x94431,x94431),x94432),x94433)),f302(x94431,x94434)))+P103(f326(f326(f328(f879(x94431,x94431)),f326(f326(f261(x94431,x94431),x94433),x94432)),f302(x94431,x94434)))+~P103(f326(f326(f328(f879(x94431,x94431)),f326(f326(f261(x94431,x94431),x94435),x94432)),f302(x94431,x94434)))+~P103(f326(f326(f328(f879(x94431,x94431)),f326(f326(f261(x94431,x94431),x94435),x94433)),f302(x94431,x94434)))
% 149.08/148.76 [5600]E(x56001,f2(a872))+~E(f326(f38(x56002),x56005),x56001)+E(f326(f38(x56002),x56003),f326(a117,x56001))+~E(x56003,f326(f326(f304(x56002),x56004),x56005))+P103(f326(f326(f328(x56002),x56004),x56005))
% 149.08/148.76 [5725]~P60(x57252)+E(x57251,f2(x57252))+E(x57253,f2(x57252))+~E(f326(f326(f284(x57252),x57254),x57253),f326(f326(f284(x57252),x57255),x57251))+E(f326(f326(f82(x57252),x57254),x57251),f326(f326(f82(x57252),x57255),x57253))
% 149.08/148.76 [5726]~P60(x57262)+E(x57261,f2(x57262))+E(x57263,f2(x57262))+~E(f326(f326(f82(x57262),x57264),x57263),f326(f326(f82(x57262),x57265),x57261))+E(f326(f326(f284(x57262),x57264),x57261),f326(f326(f284(x57262),x57265),x57263))
% 149.08/148.76 [5792]~E(f326(f38(x57921),x57925),x57923)+~E(x57925,f190(f880(x57921,a866)))+E(f326(f38(x57921),x57922),f326(a117,x57923))+~E(x57922,f326(f326(f304(x57921),x57924),x57925))+P103(f326(f326(f328(x57921),x57924),x57925))
% 149.08/148.76 [6021]~P114(x60212)+~E(f326(x60213,x60215),f2(x60212))+E(f326(f326(f9(x60211,x60212),x60213),x60214),f2(x60212))+~P103(f326(f62(x60211),x60214))+~P103(f326(f326(f328(x60211),x60215),x60214))
% 149.08/148.76 [6393]~P105(x63933)+E(x63931,x63932)+~E(f326(f296(x63933,x63934),x63931),f326(f296(x63933,x63935),x63932))+~P103(f326(f326(f241(x63933),x63935),x63932))+~P103(f326(f326(f241(x63933),x63934),x63931))
% 149.08/148.76 [6394]~P105(x63943)+E(x63941,x63942)+~E(f326(f296(x63943,x63941),x63944),f326(f296(x63943,x63942),x63945))+~P103(f326(f326(f241(x63943),x63942),x63945))+~P103(f326(f326(f241(x63943),x63941),x63944))
% 149.08/148.76 [7456]~P105(x74561)+~P28(x74561,f326(f326(f126(x74561),x74564),x74565))+~P103(f326(f326(f328(x74561),x74563),f326(f168(x74561),x74565)))+~P103(f326(f326(f328(x74561),x74562),f326(f168(x74561),x74564)))+P103(f326(f326(f240(x74561),x74562),x74563))
% 149.08/148.76 [8563]~P107(x85631)+~P103(f326(f326(f241(f880(x85631,a866)),f297(x85631,x85635,x85632)),f297(x85631,x85634,x85633)))+~P103(f326(f326(f240(x85631),x85635),x85632))+P103(f326(f326(f241(x85631),x85632),x85633))+P103(f326(f326(f241(x85631),x85634),x85635))
% 149.08/148.76 [9963]~P13(x99632,x99635,x99633)+E(x99631,f190(f880(x99632,a866)))+~E(f326(f326(x99635,f326(x99634,f811(x99631,x99634,x99633,x99635,x99632))),f326(x99634,f821(x99631,x99634,x99633,x99635,x99632))),f326(x99634,f326(f326(x99635,f811(x99631,x99634,x99633,x99635,x99632)),f821(x99631,x99634,x99633,x99635,x99632))))+E(f326(x99633,f326(f305(x99632,x99632,x99634),x99631)),f326(x99634,f326(x99633,x99631)))+~P103(f326(f62(x99632),x99631))
% 149.08/148.76 [6390]~P14(x63902,x63905,x63903)+E(x63901,f190(f880(x63902,a866)))+~P103(f326(f62(x63902),x63901))+E(f326(x63903,f326(f326(f304(x63902),x63904),x63901)),f326(f326(x63905,x63904),f326(x63903,x63901)))+P103(f326(f326(f328(x63902),x63904),x63901))
% 149.08/148.76 [7213]~P13(x72132,x72133,x72134)+E(f326(f326(x72133,f326(x72134,x72131)),f326(x72134,x72135)),f326(x72134,x72135))+E(x72131,f190(f880(x72132,a866)))+~P103(f326(f62(x72132),x72135))+~P103(f326(f326(f240(f880(x72132,a866)),x72131),x72135))
% 149.08/148.76 [7432]~P58(x74324)+~P95(x74325)+E(f326(x74321,x74322),f326(x74323,x74322))+~P103(f326(f326(f328(x74324),x74322),f326(f168(x74324),f56(x74324))))+~P103(f326(f326(f92(f880(x74324,x74325)),x74321),x74323))
% 149.08/148.76 [7591]~P14(x75914,x75915,x75911)+E(f326(x75911,x75912),x75913)+~P103(f326(f62(x75914),x75912))+~E(f326(f326(f22(f880(x75914,a866)),x75912),f326(f326(f304(x75914),x75913),f190(f880(x75914,a866)))),f190(f880(x75914,a866)))+~P103(f326(f326(f328(x75914),x75913),x75912))
% 149.08/148.76 [7676]E(x76761,x76762)+~E(f326(f191(f873(x76763)),x76762),f326(f191(f873(x76764)),x76765))+~E(f326(f191(f873(x76763)),x76761),f326(f191(f873(x76764)),x76765))+~E(f326(f174(x76764,x76763),f326(f326(f178(x76764,x76763),x76765),x76761)),f326(f174(x76764,x76763),f326(f326(f178(x76764,x76763),x76765),x76762)))+~P103(f326(f133(x76764),x76765))
% 149.08/148.76 [8534]E(x85341,x85342)+~P3(x85343,x85344,x85345)+E(f326(f326(f106(f880(x85343,a866)),x85341),x85342),f190(f880(x85343,a866)))+~P103(f326(f326(f328(f880(x85343,a866)),x85342),f326(f326(f61(x85343),x85344),x85345)))+~P103(f326(f326(f328(f880(x85343,a866)),x85341),f326(f326(f61(x85343),x85344),x85345)))
% 149.08/148.76 [9324]~P72(x93242)+~E(f326(x93243,f340(x93243,x93244,x93245,x93241,x93242)),f2(x93242))+E(f326(f326(f6(x93241,x93242),x93243),x93244),f326(f326(f6(x93241,x93242),x93243),x93245))+~P103(f326(f62(x93241),x93245))+~P103(f326(f326(f240(f880(x93241,a866)),x93244),x93245))
% 149.08/148.76 [9325]~P72(x93252)+~E(f326(x93253,f353(x93253,x93254,x93255,x93251,x93252)),f2(x93252))+E(f326(f326(f6(x93251,x93252),x93253),x93254),f326(f326(f6(x93251,x93252),x93253),x93255))+~P103(f326(f62(x93251),x93255))+~P103(f326(f326(f240(f880(x93251,a866)),x93254),x93255))
% 149.08/148.76 [9326]~P73(x93262)+~E(f326(x93263,f485(x93263,x93264,x93265,x93261,x93262)),f79(x93262))+E(f326(f326(f9(x93261,x93262),x93263),x93264),f326(f326(f9(x93261,x93262),x93263),x93265))+~P103(f326(f62(x93261),x93265))+~P103(f326(f326(f240(f880(x93261,a866)),x93264),x93265))
% 149.08/148.76 [9327]~P73(x93272)+~E(f326(x93273,f487(x93273,x93274,x93275,x93271,x93272)),f79(x93272))+E(f326(f326(f9(x93271,x93272),x93273),x93274),f326(f326(f9(x93271,x93272),x93273),x93275))+~P103(f326(f62(x93271),x93275))+~P103(f326(f326(f240(f880(x93271,a866)),x93274),x93275))
% 149.08/148.76 [9799]~P88(x97991)+~P103(f326(f62(x97992),x97995))+~P103(f326(f326(f240(x97991),f2(x97991)),f326(x97993,f862(x97993,x97994,x97995,x97992,x97991))))+P103(f326(f326(f240(x97991),f326(f326(f6(x97992,x97991),x97993),x97994)),f326(f326(f6(x97992,x97991),x97993),x97995)))+~P103(f326(f326(f240(f880(x97992,a866)),x97994),x97995))
% 149.08/148.76 [7453]E(x74531,f2(a872))+P103(f326(x74532,x74533))+~E(x74534,f326(f326(f81(a872),f326(f326(f82(a872),x74531),x74533)),x74535))+~P103(f326(f326(f241(a872),x74535),x74531))+~P103(f326(x74532,f326(f326(f39(a872),x74534),x74531)))
% 149.08/148.76 [7532]E(x75321,f2(a872))+P103(f326(x75322,x75323))+~P103(f326(x75322,f45(a872,x75324,x75321)))+~E(x75324,f326(f326(f81(a872),f326(f326(f82(a872),x75321),x75325)),x75323))+~P103(f326(f326(f241(a872),x75323),x75321))
% 149.08/148.76 [7821]~P60(x78213)+E(f326(x78211,x78212),f2(x78213))+~P103(f326(f62(x78214),x78215))+E(f326(f326(f9(x78214,x78213),x78211),f326(f326(f22(f880(x78214,a866)),x78215),f326(f326(f304(x78214),x78212),f190(f880(x78214,a866))))),f326(f326(f9(x78214,x78213),x78211),x78215))+P103(f326(f326(f328(x78214),x78212),x78215))
% 149.08/148.76 [8228]~P72(x82281)+~P103(f326(f62(x82282),x82285))+~P103(f326(f62(x82282),x82284))+~E(f326(f326(f106(f880(x82282,a866)),x82284),x82285),f190(f880(x82282,a866)))+E(f326(f326(f81(x82281),f326(f326(f6(x82282,x82281),x82283),x82284)),f326(f326(f6(x82282,x82281),x82283),x82285)),f326(f326(f6(x82282,x82281),x82283),f326(f326(f115(f880(x82282,a866)),x82284),x82285)))
% 149.08/148.76 [8230]~P73(x82301)+~P103(f326(f62(x82302),x82305))+~P103(f326(f62(x82302),x82304))+~E(f326(f326(f106(f880(x82302,a866)),x82304),x82305),f190(f880(x82302,a866)))+E(f326(f326(f82(x82301),f326(f326(f9(x82302,x82301),x82303),x82304)),f326(f326(f9(x82302,x82301),x82303),x82305)),f326(f326(f9(x82302,x82301),x82303),f326(f326(f115(f880(x82302,a866)),x82304),x82305)))
% 149.08/148.76 [8323]~P60(x83233)+E(f326(x83231,x83232),f2(x83233))+~P103(f326(f62(x83234),x83235))+E(f326(f326(f9(x83234,x83233),x83231),f326(f326(f22(f880(x83234,a866)),x83235),f326(f326(f304(x83234),x83232),f190(f880(x83234,a866))))),f326(f326(f284(x83233),f326(f326(f9(x83234,x83233),x83231),x83235)),f326(x83231,x83232)))+~P103(f326(f326(f328(x83234),x83232),x83235))
% 149.08/148.76 [9040]~P3(x90401,x90405,x90404)+~E(f326(f326(f61(x90401),f326(f326(f304(x90401),x90402),f190(f880(x90401,a866)))),x90404),f326(f326(f61(x90401),f326(f326(f304(x90401),x90403),f190(f880(x90401,a866)))),x90404))+~P103(f326(f326(f328(x90401),x90403),x90405))+~P103(f326(f326(f328(x90401),x90402),x90405))+P103(f326(f326(f328(f879(x90401,x90401)),f326(f326(f261(x90401,x90401),x90402),x90403)),x90404))
% 149.08/148.76 [9060]~P3(x90601,x90605,x90603)+E(f326(f326(f61(x90601),f326(f326(f304(x90601),x90602),f190(f880(x90601,a866)))),x90603),f326(f326(f61(x90601),f326(f326(f304(x90601),x90604),f190(f880(x90601,a866)))),x90603))+~P103(f326(f326(f328(x90601),x90604),x90605))+~P103(f326(f326(f328(x90601),x90602),x90605))+~P103(f326(f326(f328(f879(x90601,x90601)),f326(f326(f261(x90601,x90601),x90602),x90604)),x90603))
% 149.08/148.76 [9353]~P73(x93531)+~P103(f326(f62(x93532),x93535))+~P103(f326(f62(x93532),x93534))+~E(f326(f326(f106(f880(x93532,a866)),x93534),x93535),f190(f880(x93532,a866)))+E(f326(f326(f82(x93531),f326(f326(f326(f66(x93531,x93532,f82(x93531)),x93533),f79(x93531)),x93534)),f326(f326(f326(f66(x93531,x93532,f82(x93531)),x93533),f79(x93531)),x93535)),f326(f326(f326(f66(x93531,x93532,f82(x93531)),x93533),f79(x93531)),f326(f326(f115(f880(x93532,a866)),x93534),x93535)))
% 149.08/148.76 [9362]~P72(x93621)+~E(f326(x93623,f864(x93623,x93625,x93624,x93622,x93621)),f2(x93621))+~P103(f326(f62(x93622),x93624))+~P103(f326(f62(x93622),x93625))+E(f326(f326(f81(x93621),f326(f326(f6(x93622,x93621),x93623),x93624)),f326(f326(f6(x93622,x93621),x93623),x93625)),f326(f326(f6(x93622,x93621),x93623),f326(f326(f115(f880(x93622,a866)),x93624),x93625)))
% 149.08/148.76 [9363]~P72(x93631)+~E(f326(x93633,f865(x93633,x93635,x93634,x93632,x93631)),f2(x93631))+~P103(f326(f62(x93632),x93634))+~P103(f326(f62(x93632),x93635))+E(f326(f326(f81(x93631),f326(f326(f6(x93632,x93631),x93633),x93634)),f326(f326(f6(x93632,x93631),x93633),x93635)),f326(f326(f6(x93632,x93631),x93633),f326(f326(f115(f880(x93632,a866)),x93634),x93635)))
% 149.08/148.76 [9364]~P73(x93641)+~E(f326(x93643,f483(x93643,x93645,x93644,x93642,x93641)),f79(x93641))+~P103(f326(f62(x93642),x93644))+~P103(f326(f62(x93642),x93645))+E(f326(f326(f82(x93641),f326(f326(f9(x93642,x93641),x93643),x93644)),f326(f326(f9(x93642,x93641),x93643),x93645)),f326(f326(f9(x93642,x93641),x93643),f326(f326(f115(f880(x93642,a866)),x93644),x93645)))
% 149.08/148.76 [9365]~P73(x93651)+~E(f326(x93653,f484(x93653,x93655,x93654,x93652,x93651)),f79(x93651))+~P103(f326(f62(x93652),x93654))+~P103(f326(f62(x93652),x93655))+E(f326(f326(f82(x93651),f326(f326(f9(x93652,x93651),x93653),x93654)),f326(f326(f9(x93652,x93651),x93653),x93655)),f326(f326(f9(x93652,x93651),x93653),f326(f326(f115(f880(x93652,a866)),x93654),x93655)))
% 149.08/148.76 [9571]~P73(x95711)+~E(f326(x95713,f861(x95713,x95715,x95714,x95712,x95711)),f79(x95711))+~P103(f326(f62(x95712),x95714))+~P103(f326(f62(x95712),x95715))+E(f326(f326(f82(x95711),f326(f326(f326(f66(x95711,x95712,f82(x95711)),x95713),f79(x95711)),x95714)),f326(f326(f326(f66(x95711,x95712,f82(x95711)),x95713),f79(x95711)),x95715)),f326(f326(f326(f66(x95711,x95712,f82(x95711)),x95713),f79(x95711)),f326(f326(f115(f880(x95712,a866)),x95714),x95715)))
% 149.08/148.76 [9678]~P72(x96782)+E(f326(f326(f6(x96781,x96782),x96783),x96784),f326(f326(f6(x96781,x96782),x96783),x96785))+~P103(f326(f62(x96781),x96785))+~P103(f326(f326(f240(f880(x96781,a866)),x96784),x96785))+P103(f326(f326(f328(x96781),f340(x96783,x96784,x96785,x96781,x96782)),f326(f326(f22(f880(x96781,a866)),x96785),x96784)))
% 149.08/148.76 [9679]~P72(x96792)+E(f326(f326(f6(x96791,x96792),x96793),x96794),f326(f326(f6(x96791,x96792),x96793),x96795))+~P103(f326(f62(x96791),x96795))+~P103(f326(f326(f240(f880(x96791,a866)),x96794),x96795))+P103(f326(f326(f328(x96791),f353(x96793,x96794,x96795,x96791,x96792)),f326(f326(f22(f880(x96791,a866)),x96795),x96794)))
% 149.08/148.76 [9680]~P73(x96802)+E(f326(f326(f9(x96801,x96802),x96803),x96804),f326(f326(f9(x96801,x96802),x96803),x96805))+~P103(f326(f62(x96801),x96805))+~P103(f326(f326(f240(f880(x96801,a866)),x96804),x96805))+P103(f326(f326(f328(x96801),f485(x96803,x96804,x96805,x96801,x96802)),f326(f326(f22(f880(x96801,a866)),x96805),x96804)))
% 149.08/148.76 [9681]~P73(x96812)+E(f326(f326(f9(x96811,x96812),x96813),x96814),f326(f326(f9(x96811,x96812),x96813),x96815))+~P103(f326(f62(x96811),x96815))+~P103(f326(f326(f240(f880(x96811,a866)),x96814),x96815))+P103(f326(f326(f328(x96811),f487(x96813,x96814,x96815,x96811,x96812)),f326(f326(f22(f880(x96811,a866)),x96815),x96814)))
% 149.08/148.76 [9698]~P72(x96981)+~P103(f326(f62(x96982),x96984))+~P103(f326(f62(x96982),x96985))+E(f326(f326(f81(x96981),f326(f326(f6(x96982,x96981),x96983),x96984)),f326(f326(f6(x96982,x96981),x96983),x96985)),f326(f326(f6(x96982,x96981),x96983),f326(f326(f115(f880(x96982,a866)),x96984),x96985)))+P103(f326(f326(f328(x96982),f864(x96983,x96985,x96984,x96982,x96981)),f326(f326(f106(f880(x96982,a866)),x96984),x96985)))
% 149.08/148.76 [9699]~P72(x96991)+~P103(f326(f62(x96992),x96994))+~P103(f326(f62(x96992),x96995))+E(f326(f326(f81(x96991),f326(f326(f6(x96992,x96991),x96993),x96994)),f326(f326(f6(x96992,x96991),x96993),x96995)),f326(f326(f6(x96992,x96991),x96993),f326(f326(f115(f880(x96992,a866)),x96994),x96995)))+P103(f326(f326(f328(x96992),f865(x96993,x96995,x96994,x96992,x96991)),f326(f326(f106(f880(x96992,a866)),x96994),x96995)))
% 149.08/148.76 [9700]~P73(x97001)+~P103(f326(f62(x97002),x97004))+~P103(f326(f62(x97002),x97005))+E(f326(f326(f82(x97001),f326(f326(f9(x97002,x97001),x97003),x97004)),f326(f326(f9(x97002,x97001),x97003),x97005)),f326(f326(f9(x97002,x97001),x97003),f326(f326(f115(f880(x97002,a866)),x97004),x97005)))+P103(f326(f326(f328(x97002),f483(x97003,x97005,x97004,x97002,x97001)),f326(f326(f106(f880(x97002,a866)),x97004),x97005)))
% 149.08/148.76 [9701]~P73(x97011)+~P103(f326(f62(x97012),x97014))+~P103(f326(f62(x97012),x97015))+E(f326(f326(f82(x97011),f326(f326(f9(x97012,x97011),x97013),x97014)),f326(f326(f9(x97012,x97011),x97013),x97015)),f326(f326(f9(x97012,x97011),x97013),f326(f326(f115(f880(x97012,a866)),x97014),x97015)))+P103(f326(f326(f328(x97012),f484(x97013,x97015,x97014,x97012,x97011)),f326(f326(f106(f880(x97012,a866)),x97014),x97015)))
% 149.08/148.76 [9708]~P88(x97085)+~P103(f326(f62(x97081),x97084))+P103(f326(f326(f240(x97085),f326(f326(f6(x97081,x97085),x97082),x97083)),f326(f326(f6(x97081,x97085),x97082),x97084)))+~P103(f326(f326(f240(f880(x97081,a866)),x97083),x97084))+P103(f326(f326(f328(x97081),f862(x97082,x97083,x97084,x97081,x97085)),f326(f326(f22(f880(x97081,a866)),x97084),x97083)))
% 149.08/148.76 [9762]~P73(x97621)+~P103(f326(f62(x97622),x97624))+~P103(f326(f62(x97622),x97625))+E(f326(f326(f82(x97621),f326(f326(f326(f66(x97621,x97622,f82(x97621)),x97623),f79(x97621)),x97624)),f326(f326(f326(f66(x97621,x97622,f82(x97621)),x97623),f79(x97621)),x97625)),f326(f326(f326(f66(x97621,x97622,f82(x97621)),x97623),f79(x97621)),f326(f326(f115(f880(x97622,a866)),x97624),x97625)))+P103(f326(f326(f328(x97622),f861(x97623,x97625,x97624,x97622,x97621)),f326(f326(f106(f880(x97622,a866)),x97624),x97625)))
% 149.08/148.76 [8727]~P14(x87271,x87274,x87275)+~P103(f326(f62(x87271),x87272))+E(f326(f326(f22(f880(x87271,a866)),x87272),f326(f326(f304(x87271),x87273),f190(f880(x87271,a866)))),f190(f880(x87271,a866)))+~P103(f326(f326(f328(x87271),x87273),x87272))+E(f326(f326(x87274,x87273),f326(x87275,f326(f326(f22(f880(x87271,a866)),x87272),f326(f326(f304(x87271),x87273),f190(f880(x87271,a866)))))),f326(x87275,x87272))
% 149.08/148.76 [8802]~P14(x88021,x88024,x88025)+~P103(f326(f62(x88021),x88023))+~P103(f326(f62(x88021),x88022))+E(f326(f326(f106(f880(x88021,a866)),x88022),x88023),f190(f880(x88021,a866)))+E(f326(f326(x88024,f326(x88025,f326(f326(f115(f880(x88021,a866)),x88022),x88023))),f326(x88025,f326(f326(f106(f880(x88021,a866)),x88022),x88023))),f326(f326(x88024,f326(x88025,x88022)),f326(x88025,x88023)))
% 149.08/148.76 [9367]~P103(f326(f326(f240(a1),x93674),f2(a1)))+~P103(f326(f326(f241(a1),x93673),x93675))+P103(f326(f326(f240(a1),x93671),x93672))+~P103(f326(f326(f241(a1),x93673),x93674))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),f326(f326(f82(a1),x93673),x93672)),x93675)),f326(f326(f81(a1),f326(f326(f82(a1),x93673),x93671)),x93674)))
% 149.08/148.76 [9369]~P103(f326(f326(f240(a1),f2(a1)),x93695))+P103(f326(f326(f240(a1),x93691),x93692))+~P103(f326(f326(f241(a1),x93693),x93694))+~P103(f326(f326(f241(a1),x93695),x93694))+~P103(f326(f326(f240(a1),f326(f326(f81(a1),f326(f326(f82(a1),x93694),x93691)),x93695)),f326(f326(f81(a1),f326(f326(f82(a1),x93694),x93692)),x93693)))
% 149.08/148.76 [9480]~P60(x94805)+E(f326(x94801,f486(x94801,x94802,x94803,x94804,x94805)),f2(x94805))+~P103(f326(f62(x94804),x94803))+~P103(f326(f62(x94804),x94802))+E(f326(f326(f284(x94805),f326(f326(f82(x94805),f326(f326(f9(x94804,x94805),x94801),x94803)),f326(f326(f9(x94804,x94805),x94801),x94802))),f326(f326(f9(x94804,x94805),x94801),f326(f326(f106(f880(x94804,a866)),x94803),x94802))),f326(f326(f9(x94804,x94805),x94801),f326(f326(f115(f880(x94804,a866)),x94803),x94802)))
% 149.08/148.76 [9754]~P60(x97541)+~P103(f326(f62(x97542),x97544))+~P103(f326(f62(x97542),x97545))+E(f326(f326(f284(x97541),f326(f326(f82(x97541),f326(f326(f9(x97542,x97541),x97543),x97544)),f326(f326(f9(x97542,x97541),x97543),x97545))),f326(f326(f9(x97542,x97541),x97543),f326(f326(f106(f880(x97542,a866)),x97544),x97545))),f326(f326(f9(x97542,x97541),x97543),f326(f326(f115(f880(x97542,a866)),x97544),x97545)))+P103(f326(f326(f328(x97542),f486(x97543,x97545,x97544,x97542,x97541)),f326(f326(f106(f880(x97542,a866)),x97544),x97545)))
% 149.08/148.76 [9080]E(f326(f326(f126(x90801),x90802),x90803),f326(f326(f126(x90801),x90804),x90805))+~E(f326(f326(f171(x90801),f326(f191(f873(x90801)),x90804)),x90802),x90804)+~E(f326(f326(f171(x90801),f326(f191(f873(x90801)),x90802)),x90804),x90802)+~E(x90805,f326(f326(f126(x90801),f326(f326(f134(x90801),f326(f191(f873(x90801)),x90804)),x90802)),x90803))+~E(f326(f326(f126(x90801),f326(f326(f134(x90801),f326(f191(f873(x90801)),x90802)),x90804)),x90805),x90803)
% 149.08/148.76 [9478]~P105(x94782)+E(f326(f326(f144(x94781,x94782,x94783),x94784),f166(x94781,x94784,x94785)),x94785)+~P28(x94782,f326(f326(f150(x94781,x94782),x94783),x94785))+~P103(f326(f326(f328(x94781),x94784),f326(f168(x94781),x94785)))+~E(f326(f137(x94781),f326(f132(x94781,f326(f326(f8(x94782,a866,x94781),f326(a323,f326(x94783,x94784))),x94783)),x94785)),x94784)
% 149.08/148.76 [9816]~P69(x98161)+~P103(f326(f67(x98161,x98161,f82(x98161),x98162,x98163),x98165))+~P103(f326(f326(f328(x98161),x98164),x98163))+P103(f326(f326(f328(x98161),x98162),x98163))+P103(f326(f67(x98161,x98161,f82(x98161),x98164,f326(f326(f304(x98161),x98162),f326(f326(f22(f880(x98161,a866)),x98163),f326(f326(f304(x98161),x98164),f190(f880(x98161,a866)))))),x98165))
% 149.08/148.76 [7221]E(x72211,x72212)+~P21(x72214,x72215,x72213,x72216)+~E(f326(x72213,x72211),f326(x72213,x72212))+~P103(f326(f326(f328(x72214),x72212),x72216))+~P103(f326(f326(f328(x72214),x72211),x72216))
% 149.08/148.76 [6481]~P135(x64814)+E(x64811,x64812)+~E(x64815,x64816)+E(x64813,f2(x64814))+~E(f326(f326(f81(x64814),x64815),f326(f326(f82(x64814),x64813),x64811)),f326(f326(f81(x64814),x64816),f326(f326(f82(x64814),x64813),x64812)))
% 149.08/148.76 [7513]~P105(x75131)+~P26(x75131)+~P103(f326(f326(f241(x75131),x75132),f326(x75135,x75136)))+~P103(f326(f326(f328(x75133),x75136),x75134))+P103(f326(f326(f241(x75131),x75132),f326(f326(f42(x75133,x75131),x75134),x75135)))
% 149.08/148.76 [8198]~P105(x81981)+~P26(x81981)+~P103(f326(f326(f241(x81981),f326(x81984,x81986)),x81985))+~P103(f326(f326(f328(x81982),x81986),x81983))+P103(f326(f326(f241(x81981),f326(f326(f43(x81982,x81981),x81983),x81984)),x81985))
% 149.08/148.76 [8461]~P15(x84612,x84615,x84616,x84611)+~P103(f326(f62(x84612),x84614))+~P103(f326(f62(x84612),x84613))+~E(f326(f326(f106(f880(x84612,a866)),x84613),x84614),f190(f880(x84612,a866)))+E(f326(x84611,f326(f326(f115(f880(x84612,a866)),x84613),x84614)),f326(f74(x84615,x84615,x84615,f326(x84611,x84613)),f326(x84611,x84614)))
% 149.08/148.76 [8771]E(x87711,x87712)+~P52(x87714,x87715,x87716,x87713,x87717)+~E(f326(x87713,x87711),f326(x87713,x87712))+~P103(f326(f326(f328(x87715),x87712),x87717))+~P103(f326(f326(f328(x87715),x87711),x87717))
% 149.08/148.76 [10061]~P103(f326(x100612,x100614))+~E(x100615,f326(f132(x100611,x100612),x100617))+E(f326(f132(x100611,x100612),x100613),f326(f326(f147(x100611),x100614),x100615))+~E(x100613,f326(f326(f126(x100611),x100616),f326(f326(f147(x100611),x100614),x100617)))+P103(f326(x100612,f786(x100615,x100614,x100613,x100612,x100611,x100616,x100617)))
% 149.08/148.76 [10062]~P103(f326(x100624,x100622))+~E(x100623,f326(f132(x100621,x100624),x100627))+E(f326(f326(f147(x100621),x100622),x100623),f326(f132(x100621,x100624),x100625))+~E(x100625,f326(f326(f126(x100621),x100626),f326(f326(f147(x100621),x100622),x100627)))+P103(f326(x100624,f785(x100625,x100624,x100623,x100622,x100621,x100626,x100627)))
% 149.08/148.76 [10096]~P103(f326(x100962,x100964))+~E(x100965,f326(f132(x100961,x100962),x100967))+E(f326(f132(x100961,x100962),x100963),f326(f326(f147(x100961),x100964),x100965))+~E(x100963,f326(f326(f126(x100961),x100966),f326(f326(f147(x100961),x100964),x100967)))+P103(f326(f326(f328(x100961),f786(x100965,x100964,x100963,x100962,x100961,x100966,x100967)),f326(f168(x100961),x100966)))
% 149.08/148.76 [10097]~P103(f326(x100974,x100972))+~E(x100973,f326(f132(x100971,x100974),x100977))+E(f326(f326(f147(x100971),x100972),x100973),f326(f132(x100971,x100974),x100975))+~E(x100975,f326(f326(f126(x100971),x100976),f326(f326(f147(x100971),x100972),x100977)))+P103(f326(f326(f328(x100971),f785(x100975,x100974,x100973,x100972,x100971,x100976,x100977)),f326(f168(x100971),x100976)))
% 149.08/148.76 [10100]~P3(x101001,x101007,x101006)+~P9(x101001,f880(x101005,a866),x101006,x101004)+P103(f326(f326(f328(x101001),f548(x101002,x101003,x101004,x101005,x101006,x101007,x101001)),x101007))+~P103(f326(f326(f328(f880(x101001,a866)),x101003),f326(f326(f61(x101001),x101007),x101006)))+P103(f326(f326(f328(f880(x101005,a866)),f326(f326(f42(x101001,f880(x101005,a866)),x101003),x101004)),x101002))
% 149.08/148.76 [10145]~P3(x101452,x101456,x101457)+~P9(x101452,f880(x101451,a866),x101457,x101454)+~P103(f326(f326(f328(f880(x101452,a866)),x101453),f326(f326(f61(x101452),x101456),x101457)))+~P103(f326(f326(f328(f880(x101451,a866)),f326(x101454,f548(x101455,x101453,x101454,x101451,x101457,x101456,x101452))),x101455))+P103(f326(f326(f328(f880(x101451,a866)),f326(f326(f42(x101452,f880(x101451,a866)),x101453),x101454)),x101455))
% 149.08/148.76 [8368]~P73(x83682)+~P21(x83681,x83685,x83688,x83684)+~E(x83683,f326(f74(x83685,x83682,x83681,x83686),x83688))+~E(x83687,f326(f305(x83681,x83685,x83688),x83684))+E(f326(f326(f9(x83681,x83682),x83683),x83684),f326(f326(f9(x83685,x83682),x83686),x83687))
% 149.08/148.76 [10149]~P73(x101492)+~P21(x101495,x101491,x101498,x101497)+~E(f326(x101496,f620(x101493,x101496,x101494,x101497,x101498,x101491,x101495,x101492)),f326(f326(f74(x101491,x101492,x101495,x101493),x101498),f620(x101493,x101496,x101494,x101497,x101498,x101491,x101495,x101492)))+~E(x101494,f326(f305(x101495,x101491,x101498),x101497))+E(f326(f326(f9(x101491,x101492),x101493),x101494),f326(f326(f9(x101495,x101492),x101496),x101497))
% 149.08/148.76 [10151]~P72(x101512)+~P21(x101511,x101515,x101518,x101514)+~E(x101517,f326(f305(x101511,x101515,x101518),x101514))+E(f326(f326(f6(x101511,x101512),x101513),x101514),f326(f326(f6(x101515,x101512),x101516),x101517))+P103(f326(f326(f328(x101511),f632(x101516,x101513,x101517,x101514,x101518,x101515,x101511,x101512)),x101514))
% 149.08/148.76 [10152]~P73(x101522)+~P21(x101521,x101525,x101528,x101524)+~E(x101527,f326(f305(x101521,x101525,x101528),x101524))+E(f326(f326(f9(x101521,x101522),x101523),x101524),f326(f326(f9(x101525,x101522),x101526),x101527))+P103(f326(f326(f328(x101521),f620(x101526,x101523,x101527,x101524,x101528,x101525,x101521,x101522)),x101524))
% 149.08/148.76 [10158]~P72(x101582)+~P21(x101585,x101581,x101588,x101587)+~E(x101584,f326(f305(x101585,x101581,x101588),x101587))+~E(f326(x101586,f632(x101583,x101586,x101584,x101587,x101588,x101581,x101585,x101582)),f326(x101583,f326(x101588,f632(x101583,x101586,x101584,x101587,x101588,x101581,x101585,x101582))))+E(f326(f326(f6(x101581,x101582),x101583),x101584),f326(f326(f6(x101585,x101582),x101586),x101587))
% 149.08/148.76 [9533]~E(f326(f191(f873(x95332)),x95335),f326(f191(f873(x95331)),x95333))+~E(f326(f191(f873(x95332)),x95334),f326(f191(f873(x95331)),x95333))+~E(f326(f326(f326(f73(x95331,f876(x95332)),f326(f174(x95331,x95332),f326(f326(f178(x95331,x95332),x95333),x95334))),x95336),f326(f233(x95332),x95337)),f326(f326(f326(f73(x95331,f876(x95332)),f326(f174(x95331,x95332),f326(f326(f178(x95331,x95332),x95333),x95335))),x95336),f326(f233(x95332),x95338)))+E(f326(f174(x95331,x95332),f326(f326(f178(x95331,x95332),x95333),x95334)),f326(f174(x95331,x95332),f326(f326(f178(x95331,x95332),x95333),x95335)))+P103(f326(f326(f328(x95331),x95336),f326(f168(x95331),x95333)))
% 149.08/148.76 [9646]~P19(x96466,x96462,x96465,x96467,x96468,x96461)+~P103(f326(f62(x96462),x96464))+~P103(f326(f62(x96462),x96463))+~E(f326(f326(f106(f880(x96462,a866)),x96463),x96464),f190(f880(x96462,a866)))+E(f326(x96461,f326(f326(f115(f880(x96462,a866)),x96463),x96464)),f326(f326(x96465,f326(x96461,x96463)),f326(x96461,x96464)))
% 149.08/148.76 [10048]~P19(x100488,x100482,x100485,x100487,x100486,x100481)+~E(f326(x100486,f367(x100484,x100483,x100481,x100486,x100487,x100485,x100482)),x100487)+~P103(f326(f62(x100482),x100483))+~P103(f326(f62(x100482),x100484))+E(f326(x100481,f326(f326(f115(f880(x100482,a866)),x100483),x100484)),f326(f326(x100485,f326(x100481,x100483)),f326(x100481,x100484)))
% 149.08/148.76 [10105]~P19(x101058,x101052,x101055,x101057,x101056,x101051)+~P103(f326(f62(x101052),x101053))+~P103(f326(f62(x101052),x101054))+E(f326(x101051,f326(f326(f115(f880(x101052,a866)),x101053),x101054)),f326(f326(x101055,f326(x101051,x101053)),f326(x101051,x101054)))+P103(f326(f326(f328(x101052),f367(x101054,x101053,x101051,x101056,x101057,x101055,x101052)),f326(f326(f106(f880(x101052,a866)),x101053),x101054)))
% 149.08/148.76 [9804]~P3(x98044,x98048,x98045)+~P3(x98041,x98049,x98043)+~P10(x98041,x98044,f880(x98042,a866),x98043,x98045,x98047)+P9(x98041,f880(x98042,a866),x98043,f326(f326(f8(f880(x98044,f880(x98042,a866)),f880(x98042,a866),x98041),f326(f42(x98044,f880(x98042,a866)),f326(f280(x98044,x98044,x98045),f326(f326(f304(x98044),x98046),f190(f880(x98044,a866)))))),x98047))+~P103(f326(f326(f328(x98044),x98046),x98048))
% 149.08/148.76 [5407]~P105(x54073)+~P28(x54073,x54071)+E(x54071,f756(x54072,x54073))+~E(f326(f168(x54073),x54071),x54072)+~P103(f326(f62(x54073),x54072))+~P103(f326(f133(x54073),x54071))
% 149.08/148.76 [5027]~P124(x50272)+~P125(x50272)+~P140(x50272)+~P112(x50272)+E(x50271,f2(x50272))+~E(f326(f326(f251(x50272),x50271),x50273),f2(x50272))
% 149.08/148.76 [5028]~P124(x50282)+~P125(x50282)+~P140(x50282)+~P112(x50282)+~E(x50281,f2(a872))+~E(f326(f326(f251(x50282),x50283),x50281),f2(x50282))
% 149.08/148.76 [6463]~P88(x64631)+~E(x64633,f2(x64631))+~E(x64632,f2(x64631))+E(f326(f326(f81(x64631),x64632),x64633),f2(x64631))+~P103(f326(f326(f240(x64631),f2(x64631)),x64633))+~P103(f326(f326(f240(x64631),f2(x64631)),x64632))
% 149.08/148.76 [8833]~E(f326(f260(a872,a872),x88333),f2(a872))+~E(x88331,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x88333)),x88332)),f326(f264(a872,a872),x88333)))+P103(f326(f48(x88331,x88332),x88333))+~P103(f326(f326(f240(a872),f326(f264(a872,a872),x88333)),f2(a872)))+P103(f326(f326(f241(a872),f2(a872)),x88332))+~P103(f326(f326(f241(a872),x88332),f326(f264(a872,a872),x88333)))
% 149.08/148.76 [8841]E(x88411,f2(a872))+~E(x88412,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x88413)),x88411)),f326(f264(a872,a872),x88413)))+P103(f326(f48(x88412,x88411),x88413))+~P103(f326(f326(f241(a872),f2(a872)),x88411))+~P103(f326(f326(f240(a872),f2(a872)),f326(f264(a872,a872),x88413)))+~P103(f326(f326(f241(a872),f326(f264(a872,a872),x88413)),x88411))
% 149.08/148.76 [8859]~E(f326(f260(a872,a872),x88593),f2(a872))+~E(x88591,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x88593)),x88592)),f326(f264(a872,a872),x88593)))+P103(f326(f48(x88591,x88592),x88593))+~P103(f326(f326(f241(a872),f2(a872)),x88592))+~P103(f326(f326(f240(a872),f2(a872)),f326(f264(a872,a872),x88593)))+~P103(f326(f326(f241(a872),f326(f264(a872,a872),x88593)),x88592))
% 149.08/148.76 [6844]~P76(x68442)+E(x68441,f190(f880(x68442,a866)))+E(x68443,f190(f880(x68442,a866)))+~P103(f326(f62(x68442),x68441))+~P103(f326(f62(x68442),x68443))+E(f10(x68442,f326(f326(f115(f880(x68442,a866)),x68443),x68441)),f326(f326(f115(x68442),f10(x68442,x68443)),f10(x68442,x68441)))
% 149.08/148.76 [6845]~P76(x68452)+E(x68451,f190(f880(x68452,a866)))+E(x68453,f190(f880(x68452,a866)))+~P103(f326(f62(x68452),x68451))+~P103(f326(f62(x68452),x68453))+E(f11(x68452,f326(f326(f115(f880(x68452,a866)),x68453),x68451)),f326(f326(f106(x68452),f11(x68452,x68453)),f11(x68452,x68451)))
% 149.08/148.76 [6846]~P105(x68462)+E(x68461,f190(f880(x68462,a866)))+E(x68463,f190(f880(x68462,a866)))+~P103(f326(f62(x68462),x68461))+~P103(f326(f62(x68462),x68463))+E(f14(x68462,f326(f326(f115(f880(x68462,a866)),x68463),x68461)),f326(f326(f238(x68462),f14(x68462,x68463)),f14(x68462,x68461)))
% 149.08/148.76 [6847]~P105(x68472)+E(x68471,f190(f880(x68472,a866)))+E(x68473,f190(f880(x68472,a866)))+~P103(f326(f62(x68472),x68471))+~P103(f326(f62(x68472),x68473))+E(f15(x68472,f326(f326(f115(f880(x68472,a866)),x68473),x68471)),f326(f326(f239(x68472),f15(x68472,x68473)),f15(x68472,x68471)))
% 149.08/148.76 [7488]~P96(x74882)+E(x74881,f190(f880(x74882,a866)))+E(x74883,f190(f880(x74882,a866)))+~P103(f326(f62(x74882),x74881))+~P103(f326(f62(x74882),x74883))+E(f326(f326(f82(x74882),f326(f64(x74882,f82(x74882)),x74883)),f326(f64(x74882,f82(x74882)),x74881)),f326(f64(x74882,f82(x74882)),f326(f326(f115(f880(x74882,a866)),x74883),x74881)))
% 149.08/148.76 [7645]~P105(x76452)+E(x76451,f190(f880(x76452,a866)))+E(x76453,f190(f880(x76452,a866)))+~P103(f326(f62(x76452),x76451))+~P103(f326(f62(x76452),x76453))+E(f326(f326(f239(x76452),f12(x76452,f239(x76452),x76453)),f12(x76452,f239(x76452),x76451)),f12(x76452,f239(x76452),f326(f326(f115(f880(x76452,a866)),x76453),x76451)))
% 149.08/148.76 [7646]~P105(x76462)+E(x76461,f190(f880(x76462,a866)))+E(x76463,f190(f880(x76462,a866)))+~P103(f326(f62(x76462),x76461))+~P103(f326(f62(x76462),x76463))+E(f326(f326(f238(x76462),f13(x76462,f238(x76462),x76463)),f13(x76462,f238(x76462),x76461)),f13(x76462,f238(x76462),f326(f326(f115(f880(x76462,a866)),x76463),x76461)))
% 149.08/148.76 [8680]~P103(f326(x86801,x86803))+P103(f326(x86801,f421(x86801,x86802)))+P103(f326(x86801,f404(x86801,x86802)))+~P103(f326(f326(f241(a1),f2(a1)),x86802))+~P103(f326(f326(f328(a1),x86803),f297(a1,f79(a1),x86802)))+P103(f326(x86801,f326(f326(f22(a1),f404(x86801,x86802)),f326(f326(f82(a1),f419(x86801,x86802)),x86802))))
% 149.08/148.76 [8979]~P103(f326(x89791,x89793))+~P103(f326(x89791,f404(x89791,x89792)))+P103(f326(x89791,f421(x89791,x89792)))+~P103(f326(f326(f241(a1),f2(a1)),x89792))+~P103(f326(f326(f328(a1),x89793),f297(a1,f79(a1),x89792)))+~P103(f326(x89791,f326(f326(f22(a1),f404(x89791,x89792)),f326(f326(f82(a1),f419(x89791,x89792)),x89792))))
% 149.08/148.76 [10183]~P98(x101832)+E(x101831,f190(f880(x101832,a866)))+E(x101833,f190(f880(x101832,a866)))+~P103(f326(f62(x101832),x101831))+~P103(f326(f62(x101832),x101833))+E(f11(x101832,f326(f246(x101832),f326(f326(f8(f880(x101832,a866),a866,x101832),f88(x101832)),f326(f326(f8(f880(x101832,f880(x101832,a866)),f880(x101832,a866),x101832),f326(f8(f880(x101832,a866),a866,x101832),f88(x101832))),f326(f326(f7(x101832,f880(x101832,f880(x101832,a866)),f880(x101832,f880(x101832,a866))),f326(f326(f8(f880(x101832,f880(f880(x101832,a866),f880(x101832,a866))),f880(f880(x101832,f880(x101832,a866)),f880(x101832,f880(x101832,a866))),x101832),f18(x101832,f880(x101832,a866),f880(x101832,a866))),f326(f326(f8(f880(x101832,f880(x101832,f880(a866,a866))),f880(x101832,f880(f880(x101832,a866),f880(x101832,a866))),x101832),f326(f8(f880(x101832,f880(a866,a866)),f880(f880(x101832,a866),f880(x101832,a866)),x101832),f18(x101832,a866,a866))),f326(f326(f8(f880(x101832,f880(x101832,a866)),f880(x101832,f880(x101832,f880(a866,a866))),x101832),f326(f8(f880(x101832,a866),f880(x101832,f880(a866,a866)),x101832),f326(f8(a866,f880(a866,a866),x101832),a324))),f326(f326(f7(x101832,f880(x101832,f880(x101832,x101832)),f880(x101832,f880(x101832,a866))),f326(f326(f8(f880(f880(x101832,x101832),f880(x101832,a866)),f880(f880(x101832,f880(x101832,x101832)),f880(x101832,f880(x101832,a866))),x101832),f8(f880(x101832,x101832),f880(x101832,a866),x101832)),f326(f326(f8(f880(x101832,a866),f880(f880(x101832,x101832),f880(x101832,a866)),x101832),f8(x101832,a866,x101832)),a323))),f115(x101832)))))),f326(f326(f7(x101832,f880(x101832,a866),f880(x101832,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x101832,a866),f880(x101832,a866)),x101832),f8(a866,a866,x101832)),f326(f326(f8(a866,f880(a866,a866),x101832),a324),f326(f326(f7(x101832,f880(x101832,a866),a866),f328(x101832)),x101833)))),f326(f326(f7(x101832,f880(x101832,a866),a866),f328(x101832)),x101831))))))),f326(f326(f115(x101832),f11(x101832,x101833)),f11(x101832,x101831)))
% 149.08/148.76 [10184]~P98(x101842)+E(x101841,f190(f880(x101842,a866)))+E(x101843,f190(f880(x101842,a866)))+~P103(f326(f62(x101842),x101841))+~P103(f326(f62(x101842),x101843))+E(f10(x101842,f326(f246(x101842),f326(f326(f8(f880(x101842,a866),a866,x101842),f88(x101842)),f326(f326(f8(f880(x101842,f880(x101842,a866)),f880(x101842,a866),x101842),f326(f8(f880(x101842,a866),a866,x101842),f88(x101842))),f326(f326(f7(x101842,f880(x101842,f880(x101842,a866)),f880(x101842,f880(x101842,a866))),f326(f326(f8(f880(x101842,f880(f880(x101842,a866),f880(x101842,a866))),f880(f880(x101842,f880(x101842,a866)),f880(x101842,f880(x101842,a866))),x101842),f18(x101842,f880(x101842,a866),f880(x101842,a866))),f326(f326(f8(f880(x101842,f880(x101842,f880(a866,a866))),f880(x101842,f880(f880(x101842,a866),f880(x101842,a866))),x101842),f326(f8(f880(x101842,f880(a866,a866)),f880(f880(x101842,a866),f880(x101842,a866)),x101842),f18(x101842,a866,a866))),f326(f326(f8(f880(x101842,f880(x101842,a866)),f880(x101842,f880(x101842,f880(a866,a866))),x101842),f326(f8(f880(x101842,a866),f880(x101842,f880(a866,a866)),x101842),f326(f8(a866,f880(a866,a866),x101842),a324))),f326(f326(f7(x101842,f880(x101842,f880(x101842,x101842)),f880(x101842,f880(x101842,a866))),f326(f326(f8(f880(f880(x101842,x101842),f880(x101842,a866)),f880(f880(x101842,f880(x101842,x101842)),f880(x101842,f880(x101842,a866))),x101842),f8(f880(x101842,x101842),f880(x101842,a866),x101842)),f326(f326(f8(f880(x101842,a866),f880(f880(x101842,x101842),f880(x101842,a866)),x101842),f8(x101842,a866,x101842)),a323))),f106(x101842)))))),f326(f326(f7(x101842,f880(x101842,a866),f880(x101842,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x101842,a866),f880(x101842,a866)),x101842),f8(a866,a866,x101842)),f326(f326(f8(a866,f880(a866,a866),x101842),a324),f326(f326(f7(x101842,f880(x101842,a866),a866),f328(x101842)),x101843)))),f326(f326(f7(x101842,f880(x101842,a866),a866),f328(x101842)),x101841))))))),f326(f326(f106(x101842),f10(x101842,x101843)),f10(x101842,x101841)))
% 149.08/148.76 [10185]~P105(x101852)+E(x101851,f190(f880(x101852,a866)))+E(x101853,f190(f880(x101852,a866)))+~P103(f326(f62(x101852),x101851))+~P103(f326(f62(x101852),x101853))+E(f12(x101852,f239(x101852),f326(f246(x101852),f326(f326(f8(f880(x101852,a866),a866,x101852),f88(x101852)),f326(f326(f8(f880(x101852,f880(x101852,a866)),f880(x101852,a866),x101852),f326(f8(f880(x101852,a866),a866,x101852),f88(x101852))),f326(f326(f7(x101852,f880(x101852,f880(x101852,a866)),f880(x101852,f880(x101852,a866))),f326(f326(f8(f880(x101852,f880(f880(x101852,a866),f880(x101852,a866))),f880(f880(x101852,f880(x101852,a866)),f880(x101852,f880(x101852,a866))),x101852),f18(x101852,f880(x101852,a866),f880(x101852,a866))),f326(f326(f8(f880(x101852,f880(x101852,f880(a866,a866))),f880(x101852,f880(f880(x101852,a866),f880(x101852,a866))),x101852),f326(f8(f880(x101852,f880(a866,a866)),f880(f880(x101852,a866),f880(x101852,a866)),x101852),f18(x101852,a866,a866))),f326(f326(f8(f880(x101852,f880(x101852,a866)),f880(x101852,f880(x101852,f880(a866,a866))),x101852),f326(f8(f880(x101852,a866),f880(x101852,f880(a866,a866)),x101852),f326(f8(a866,f880(a866,a866),x101852),a324))),f326(f326(f7(x101852,f880(x101852,f880(x101852,x101852)),f880(x101852,f880(x101852,a866))),f326(f326(f8(f880(f880(x101852,x101852),f880(x101852,a866)),f880(f880(x101852,f880(x101852,x101852)),f880(x101852,f880(x101852,a866))),x101852),f8(f880(x101852,x101852),f880(x101852,a866),x101852)),f326(f326(f8(f880(x101852,a866),f880(f880(x101852,x101852),f880(x101852,a866)),x101852),f8(x101852,a866,x101852)),a323))),f238(x101852)))))),f326(f326(f7(x101852,f880(x101852,a866),f880(x101852,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x101852,a866),f880(x101852,a866)),x101852),f8(a866,a866,x101852)),f326(f326(f8(a866,f880(a866,a866),x101852),a324),f326(f326(f7(x101852,f880(x101852,a866),a866),f328(x101852)),x101853)))),f326(f326(f7(x101852,f880(x101852,a866),a866),f328(x101852)),x101851))))))),f326(f326(f238(x101852),f12(x101852,f239(x101852),x101853)),f12(x101852,f239(x101852),x101851)))
% 149.08/148.76 [10186]~P105(x101862)+E(x101861,f190(f880(x101862,a866)))+E(x101863,f190(f880(x101862,a866)))+~P103(f326(f62(x101862),x101861))+~P103(f326(f62(x101862),x101863))+E(f13(x101862,f238(x101862),f326(f246(x101862),f326(f326(f8(f880(x101862,a866),a866,x101862),f88(x101862)),f326(f326(f8(f880(x101862,f880(x101862,a866)),f880(x101862,a866),x101862),f326(f8(f880(x101862,a866),a866,x101862),f88(x101862))),f326(f326(f7(x101862,f880(x101862,f880(x101862,a866)),f880(x101862,f880(x101862,a866))),f326(f326(f8(f880(x101862,f880(f880(x101862,a866),f880(x101862,a866))),f880(f880(x101862,f880(x101862,a866)),f880(x101862,f880(x101862,a866))),x101862),f18(x101862,f880(x101862,a866),f880(x101862,a866))),f326(f326(f8(f880(x101862,f880(x101862,f880(a866,a866))),f880(x101862,f880(f880(x101862,a866),f880(x101862,a866))),x101862),f326(f8(f880(x101862,f880(a866,a866)),f880(f880(x101862,a866),f880(x101862,a866)),x101862),f18(x101862,a866,a866))),f326(f326(f8(f880(x101862,f880(x101862,a866)),f880(x101862,f880(x101862,f880(a866,a866))),x101862),f326(f8(f880(x101862,a866),f880(x101862,f880(a866,a866)),x101862),f326(f8(a866,f880(a866,a866),x101862),a324))),f326(f326(f7(x101862,f880(x101862,f880(x101862,x101862)),f880(x101862,f880(x101862,a866))),f326(f326(f8(f880(f880(x101862,x101862),f880(x101862,a866)),f880(f880(x101862,f880(x101862,x101862)),f880(x101862,f880(x101862,a866))),x101862),f8(f880(x101862,x101862),f880(x101862,a866),x101862)),f326(f326(f8(f880(x101862,a866),f880(f880(x101862,x101862),f880(x101862,a866)),x101862),f8(x101862,a866,x101862)),a323))),f239(x101862)))))),f326(f326(f7(x101862,f880(x101862,a866),f880(x101862,a866)),f326(f326(f8(f880(a866,a866),f880(f880(x101862,a866),f880(x101862,a866)),x101862),f8(a866,a866,x101862)),f326(f326(f8(a866,f880(a866,a866),x101862),a324),f326(f326(f7(x101862,f880(x101862,a866),a866),f328(x101862)),x101863)))),f326(f326(f7(x101862,f880(x101862,a866),a866),f328(x101862)),x101861))))))),f326(f326(f239(x101862),f13(x101862,f238(x101862),x101863)),f13(x101862,f238(x101862),x101861)))
% 149.08/148.76 [7172]~P108(x71723)+E(x71721,x71722)+~E(f326(f326(f251(x71723),x71721),x71724),f326(f326(f251(x71723),x71722),x71724))+~P103(f326(f326(f240(x71723),f2(x71723)),x71722))+~P103(f326(f326(f240(x71723),f2(x71723)),x71721))+~P103(f326(f326(f241(a872),f2(a872)),x71724))
% 149.08/148.76 [7445]~P105(x74452)+E(x74451,f190(f880(x74452,a866)))+~P103(f326(f62(x74452),x74451))+~P103(f326(f326(f328(x74452),x74454),x74451))+P103(f326(f326(f240(x74452),x74453),x74454))+~P103(f326(f326(f240(x74452),x74453),f326(f64(x74452,f238(x74452)),x74451)))
% 149.08/148.76 [7446]~P100(x74462)+E(x74461,f190(f880(x74462,a866)))+~P103(f326(f62(x74462),x74461))+~P103(f326(f326(f328(x74462),x74464),x74461))+P103(f326(f326(f240(x74462),x74463),x74464))+~P103(f326(f326(f240(x74462),x74463),f326(f64(x74462,f106(x74462)),x74461)))
% 149.08/148.76 [7447]~P105(x74472)+E(x74471,f190(f880(x74472,a866)))+~P103(f326(f62(x74472),x74471))+~P103(f326(f326(f328(x74472),x74474),x74471))+P103(f326(f326(f241(x74472),x74473),x74474))+~P103(f326(f326(f241(x74472),x74473),f326(f64(x74472,f238(x74472)),x74471)))
% 149.08/148.76 [7346]E(x73461,f2(a1))+E(f326(f326(f39(a1),x73462),x73461),x73463)+~P103(f326(f326(f240(a1),x73464),f2(a1)))+~E(x73462,f326(f326(f81(a1),f326(f326(f82(a1),x73461),x73463)),x73464))+P103(f326(f326(f241(a1),f2(a1)),x73461))+~P103(f326(f326(f241(a1),x73461),x73464))
% 149.08/148.76 [7361]E(f45(a1,x73612,x73611),x73613)+E(x73611,f2(a1))+~P103(f326(f326(f240(a1),x73613),f2(a1)))+~E(x73612,f326(f326(f81(a1),f326(f326(f82(a1),x73611),x73614)),x73613))+P103(f326(f326(f241(a1),f2(a1)),x73611))+~P103(f326(f326(f241(a1),x73611),x73613))
% 149.08/148.76 [7487]E(x74871,f2(a1))+E(f326(f326(f39(a1),x74872),x74871),x74873)+~E(x74872,f326(f326(f81(a1),f326(f326(f82(a1),x74871),x74873)),x74874))+~P103(f326(f326(f240(a1),f2(a1)),x74874))+~P103(f326(f326(f241(a1),f2(a1)),x74871))+~P103(f326(f326(f241(a1),x74874),x74871))
% 149.08/148.76 [7509]E(f45(a1,x75092,x75091),x75093)+E(x75091,f2(a1))+~E(x75092,f326(f326(f81(a1),f326(f326(f82(a1),x75091),x75094)),x75093))+~P103(f326(f326(f240(a1),f2(a1)),x75093))+~P103(f326(f326(f241(a1),f2(a1)),x75091))+~P103(f326(f326(f241(a1),x75093),x75091))
% 149.08/148.76 [7649]~P105(x76492)+E(x76491,f190(f880(x76492,a866)))+~P103(f326(f62(x76492),x76491))+~P103(f326(f326(f328(x76492),x76494),x76491))+~P103(f326(f326(f240(x76492),x76494),x76493))+P103(f326(f326(f240(x76492),f326(f64(x76492,f238(x76492)),x76491)),x76493))
% 149.08/148.76 [7650]~P105(x76502)+E(x76501,f190(f880(x76502,a866)))+~P103(f326(f62(x76502),x76501))+~P103(f326(f326(f241(x76502),x76504),x76503))+~P103(f326(f326(f328(x76502),x76504),x76501))+P103(f326(f326(f241(x76502),f326(f64(x76502,f238(x76502)),x76501)),x76503))
% 149.08/148.76 [8223]~P103(f326(f326(f240(a1),x82234),f2(a1)))+~E(x82231,f326(f326(f81(a1),f326(f326(f82(a1),x82232),x82233)),x82234))+~P103(f326(f326(f240(a1),f2(a1)),x82234))+~P103(f326(f326(f241(a1),x82234),x82232))+~P103(f326(f326(f241(a1),x82232),x82234))+P103(f326(f49(x82231,x82232),f326(f326(f261(a1,a1),x82233),x82234)))
% 149.08/148.76 [9172]~P58(x91723)+~P58(x91724)+E(x91721,x91722)+~E(f326(f191(f873(x91723)),x91722),f326(f191(f873(x91724)),f56(x91724)))+~E(f326(f191(f873(x91723)),x91721),f326(f191(f873(x91724)),f56(x91724)))+~E(f326(f74(f876(x91723),x91723,x91724,f237(x91723)),f326(f174(x91724,x91723),f326(f326(f178(x91724,x91723),f56(x91724)),x91721))),f326(f74(f876(x91723),x91723,x91724,f237(x91723)),f326(f174(x91724,x91723),f326(f326(f178(x91724,x91723),f56(x91724)),x91722))))
% 149.08/148.76 [8389]~P107(x83891)+P103(f326(f326(f241(f880(x83891,a866)),f297(x83891,x83892,x83893)),f297(x83891,x83894,x83895)))+~P103(f326(f326(f240(x83891),x83894),x83892))+~P103(f326(f326(f240(x83891),x83894),x83895))+~P103(f326(f326(f240(x83891),x83893),x83895))+~P103(f326(f326(f241(x83891),x83893),x83895))
% 149.08/148.76 [8390]~P107(x83901)+P103(f326(f326(f241(f880(x83901,a866)),f297(x83901,x83902,x83903)),f297(x83901,x83904,x83905)))+~P103(f326(f326(f240(x83901),x83903),x83905))+~P103(f326(f326(f240(x83901),x83904),x83905))+~P103(f326(f326(f240(x83901),x83904),x83902))+~P103(f326(f326(f241(x83901),x83904),x83902))
% 149.08/148.76 [9237]P54(x92372,x92373,x92374,x92371)+E(x92371,f190(f880(x92372,a866)))+~P103(f326(f62(x92372),x92374))+~P103(f326(f62(x92372),x92371))+~P103(f326(f326(x92373,f561(x92371,x92374,x92373,x92372)),x92375))+~P103(f326(f326(f328(x92372),x92375),x92371))
% 149.08/148.76 [9386]~E(x93863,x93865)+~P72(x93861)+~P73(x93861)+~P39(x93863)+E(f326(f326(f6(a1,x93861),x93862),x93863),f326(f326(f6(a1,x93861),x93864),x93865))+P103(f326(f326(f240(a1),f2(a1)),f435(x93862,x93864,x93863,x93865,x93861)))
% 149.08/148.76 [9387]~E(x93873,x93875)+~P72(x93871)+~P73(x93871)+~P39(x93873)+E(f326(f326(f9(a1,x93871),x93872),x93873),f326(f326(f9(a1,x93871),x93874),x93875))+P103(f326(f326(f240(a1),f2(a1)),f490(x93872,x93874,x93873,x93875,x93871)))
% 149.08/148.76 [9554]~E(x95545,x95543)+~P72(x95541)+~P73(x95541)+~P39(x95545)+~E(f326(x95542,f435(x95544,x95542,x95545,x95543,x95541)),f326(x95544,f435(x95544,x95542,x95545,x95543,x95541)))+E(f326(f326(f6(a1,x95541),x95542),x95543),f326(f326(f6(a1,x95541),x95544),x95545))
% 149.08/148.76 [9555]~E(x95555,x95553)+~P72(x95551)+~P73(x95551)+~P39(x95555)+~E(f326(x95552,f490(x95554,x95552,x95555,x95553,x95551)),f326(x95554,f490(x95554,x95552,x95555,x95553,x95551)))+E(f326(f326(f9(a1,x95551),x95552),x95553),f326(f326(f9(a1,x95551),x95554),x95555))
% 149.08/148.76 [9643]~P78(x96433)+E(f326(x96431,x96432),f2(x96433))+~E(f326(f326(f6(x96434,x96433),x96431),x96435),f2(x96433))+~P103(f326(f62(x96434),x96435))+P103(f326(f326(f328(x96434),f335(x96432,x96431,x96435,x96434,x96433)),x96435))+~P103(f326(f326(f328(x96434),x96432),x96435))
% 149.08/148.76 [9778]~P78(x97783)+E(f326(x97781,x97782),f2(x97783))+~E(f326(f326(f6(x97784,x97783),x97781),x97785),f2(x97783))+~P103(f326(f62(x97784),x97785))+~P103(f326(f326(f328(x97784),x97782),x97785))+~P103(f326(f326(f240(x97783),f2(x97783)),f326(x97781,f335(x97782,x97781,x97785,x97784,x97783))))
% 149.08/148.76 [8304]~P133(x83041)+~P103(f326(f326(f240(x83041),x83043),x83045))+~P103(f326(f326(f240(x83041),x83042),x83044))+~P103(f326(f326(f240(x83041),f2(x83041)),x83043))+~P103(f326(f326(f240(x83041),f2(x83041)),x83044))+P103(f326(f326(f240(x83041),f326(f326(f82(x83041),x83042),x83043)),f326(f326(f82(x83041),x83044),x83045)))
% 149.08/148.76 [8305]~P133(x83051)+~P103(f326(f326(f240(x83051),x83053),x83055))+~P103(f326(f326(f240(x83051),x83052),x83054))+~P103(f326(f326(f240(x83051),f2(x83051)),x83053))+~P103(f326(f326(f240(x83051),f2(x83051)),x83052))+P103(f326(f326(f240(x83051),f326(f326(f82(x83051),x83052),x83053)),f326(f326(f82(x83051),x83054),x83055)))
% 149.08/148.76 [8306]~P62(x83061)+~P103(f326(f326(f241(x83061),f2(x83061)),x83065))+~P103(f326(f326(f240(x83061),x83065),x83063))+~P103(f326(f326(f240(x83061),x83062),x83064))+~P103(f326(f326(f240(x83061),f2(x83061)),x83062))+P103(f326(f326(f240(x83061),f326(f326(f284(x83061),x83062),x83063)),f326(f326(f284(x83061),x83064),x83065)))
% 149.08/148.76 [8307]~P126(x83071)+~P103(f326(f326(f240(x83071),x83073),x83075))+~P103(f326(f326(f240(x83071),f2(x83071)),x83072))+~P103(f326(f326(f241(x83071),x83072),x83074))+~P103(f326(f326(f241(x83071),f2(x83071)),x83073))+P103(f326(f326(f241(x83071),f326(f326(f82(x83071),x83072),x83073)),f326(f326(f82(x83071),x83074),x83075)))
% 149.08/148.76 [8308]~P126(x83081)+~P103(f326(f326(f240(x83081),x83082),x83084))+~P103(f326(f326(f240(x83081),f2(x83081)),x83083))+~P103(f326(f326(f241(x83081),x83083),x83085))+~P103(f326(f326(f241(x83081),f2(x83081)),x83082))+P103(f326(f326(f241(x83081),f326(f326(f82(x83081),x83082),x83083)),f326(f326(f82(x83081),x83084),x83085)))
% 149.08/148.76 [8309]~P126(x83091)+~P103(f326(f326(f240(x83091),f2(x83091)),x83093))+~P103(f326(f326(f240(x83091),f2(x83091)),x83092))+~P103(f326(f326(f241(x83091),x83093),x83095))+~P103(f326(f326(f241(x83091),x83092),x83094))+P103(f326(f326(f241(x83091),f326(f326(f82(x83091),x83092),x83093)),f326(f326(f82(x83091),x83094),x83095)))
% 149.08/148.76 [8310]~P126(x83101)+~P103(f326(f326(f240(x83101),f2(x83101)),x83103))+~P103(f326(f326(f241(x83101),x83103),x83105))+~P103(f326(f326(f241(x83101),x83102),x83104))+~P103(f326(f326(f241(x83101),f2(x83101)),x83104))+P103(f326(f326(f241(x83101),f326(f326(f82(x83101),x83102),x83103)),f326(f326(f82(x83101),x83104),x83105)))
% 149.08/148.76 [8311]~P62(x83111)+~P103(f326(f326(f240(x83111),x83115),x83113))+~P103(f326(f326(f240(x83111),f2(x83111)),x83112))+~P103(f326(f326(f241(x83111),x83112),x83114))+~P103(f326(f326(f241(x83111),f2(x83111)),x83115))+P103(f326(f326(f241(x83111),f326(f326(f284(x83111),x83112),x83113)),f326(f326(f284(x83111),x83114),x83115)))
% 149.08/148.76 [8312]~P62(x83121)+~P103(f326(f326(f240(x83121),x83122),x83124))+~P103(f326(f326(f241(x83121),x83125),x83123))+~P103(f326(f326(f241(x83121),f2(x83121)),x83125))+~P103(f326(f326(f241(x83121),f2(x83121)),x83122))+P103(f326(f326(f241(x83121),f326(f326(f284(x83121),x83122),x83123)),f326(f326(f284(x83121),x83124),x83125)))
% 149.08/148.76 [9682]~P85(x96825)+~P72(x96825)+E(x96821,f190(f880(x96822,a866)))+~P103(f326(f62(x96822),x96821))+P103(f326(f326(f328(x96822),f844(x96823,x96824,x96821,x96822,x96825)),x96821))+P103(f326(f326(f241(x96825),f326(f326(f6(x96822,x96825),x96824),x96821)),f326(f326(f6(x96822,x96825),x96823),x96821)))
% 149.08/148.76 [9800]~P83(x98001)+~P72(x98001)+~P103(f326(f62(x98002),x98005))+~P103(f326(f326(f240(x98001),f2(x98001)),f326(x98003,f336(x98003,x98004,x98005,x98002,x98001))))+P103(f326(f326(f240(x98001),f326(f326(f6(x98002,x98001),x98003),x98004)),f326(f326(f6(x98002,x98001),x98003),x98005)))+~P103(f326(f326(f240(f880(x98002,a866)),x98004),x98005))
% 149.08/148.76 [9968]~P85(x99683)+~P72(x99683)+E(x99681,f190(f880(x99682,a866)))+~P103(f326(f62(x99682),x99681))+~P103(f326(f326(f241(x99683),f326(x99684,f844(x99685,x99684,x99681,x99682,x99683))),f326(x99685,f844(x99685,x99684,x99681,x99682,x99683))))+P103(f326(f326(f241(x99683),f326(f326(f6(x99682,x99683),x99684),x99681)),f326(f326(f6(x99682,x99683),x99685),x99681)))
% 149.08/148.76 [7031]~P13(x70312,x70315,x70314)+E(x70311,f190(f880(x70312,a866)))+E(x70313,f190(f880(x70312,a866)))+~P103(f326(f62(x70312),x70311))+~P103(f326(f62(x70312),x70313))+E(f326(x70314,f326(f326(f115(f880(x70312,a866)),x70313),x70311)),f326(f326(x70315,f326(x70314,x70313)),f326(x70314,x70311)))
% 149.08/148.76 [7615]~P145(x76151,x76154,x76153)+P103(f326(x76151,x76152))+~P103(f326(f326(f241(a1),x76154),f2(a1)))+~P103(f326(f326(f240(a1),x76155),f2(a1)))+~E(x76153,f326(f326(f81(a1),f326(f326(f82(a1),x76154),x76152)),x76155))+~P103(f326(f326(f241(a1),x76154),x76155))
% 149.08/148.76 [7616]~P144(x76161,x76164,x76163)+P103(f326(x76161,x76162))+~P103(f326(f326(f241(a1),x76164),f2(a1)))+~P103(f326(f326(f240(a1),x76162),f2(a1)))+~E(x76163,f326(f326(f81(a1),f326(f326(f82(a1),x76164),x76165)),x76162))+~P103(f326(f326(f241(a1),x76164),x76162))
% 149.08/148.76 [7658]~P145(x76581,x76584,x76583)+P103(f326(x76581,x76582))+~E(x76583,f326(f326(f81(a1),f326(f326(f82(a1),x76584),x76582)),x76585))+~P103(f326(f326(f240(a1),f2(a1)),x76585))+~P103(f326(f326(f241(a1),f2(a1)),x76584))+~P103(f326(f326(f241(a1),x76585),x76584))
% 149.08/148.76 [7659]~P144(x76591,x76594,x76593)+P103(f326(x76591,x76592))+~E(x76593,f326(f326(f81(a1),f326(f326(f82(a1),x76594),x76595)),x76592))+~P103(f326(f326(f240(a1),f2(a1)),x76592))+~P103(f326(f326(f241(a1),f2(a1)),x76594))+~P103(f326(f326(f241(a1),x76592),x76594))
% 149.08/148.76 [8602]P103(f326(f326(x86021,x86022),x86023))+~P103(f326(f326(x86021,f326(f326(f39(a1),x86024),x86025)),f45(a1,x86024,x86025)))+~P103(f326(f326(f241(a1),x86025),f2(a1)))+~P103(f326(f326(f240(a1),x86023),f2(a1)))+~E(x86024,f326(f326(f81(a1),f326(f326(f82(a1),x86025),x86022)),x86023))+~P103(f326(f326(f241(a1),x86025),x86023))
% 149.08/148.76 [8611]P103(f326(f326(x86111,x86112),x86113))+~P103(f326(f326(x86111,f326(f326(f39(a1),x86114),x86115)),f45(a1,x86114,x86115)))+~E(x86114,f326(f326(f81(a1),f326(f326(f82(a1),x86115),x86112)),x86113))+~P103(f326(f326(f240(a1),f2(a1)),x86113))+~P103(f326(f326(f241(a1),f2(a1)),x86115))+~P103(f326(f326(f241(a1),x86113),x86115))
% 149.08/148.76 [8847]E(x88471,x88472)+~P51(x88473,x88475,x88474)+~P103(f326(f326(f328(x88473),x88472),x88475))+~P103(f326(f326(f328(x88473),x88471),x88475))+P103(f326(f326(f328(f879(x88473,x88473)),f326(f326(f261(x88473,x88473),x88471),x88472)),x88474))+P103(f326(f326(f328(f879(x88473,x88473)),f326(f326(f261(x88473,x88473),x88472),x88471)),x88474))
% 149.08/148.76 [9709]~P83(x97095)+~P72(x97095)+~P103(f326(f62(x97091),x97094))+P103(f326(f326(f240(x97095),f326(f326(f6(x97091,x97095),x97092),x97093)),f326(f326(f6(x97091,x97095),x97092),x97094)))+~P103(f326(f326(f240(f880(x97091,a866)),x97093),x97094))+P103(f326(f326(f328(x97091),f336(x97092,x97093,x97094,x97091,x97095)),f326(f326(f22(f880(x97091,a866)),x97094),x97093)))
% 149.08/148.76 [9808]E(x98081,f190(f880(x98082,a866)))+~P103(f326(f62(x98082),x98083))+~P103(f326(f62(x98082),x98081))+P103(f326(f326(f328(f879(f880(x98082,a866),f880(x98082,a866))),f326(f326(f261(f880(x98082,a866),f880(x98082,a866)),x98083),x98081)),f317(x98082,x98084)))+~P103(f326(f326(f328(x98082),x98085),x98081))+~P103(f326(f326(f328(f879(x98082,x98082)),f326(f326(f261(x98082,x98082),f568(x98084,x98081,x98083,x98082)),x98085)),x98084))
% 149.08/148.76 [9809]E(x98091,f190(f880(x98092,a866)))+~P103(f326(f62(x98092),x98093))+~P103(f326(f62(x98092),x98091))+P103(f326(f326(f328(f879(f880(x98092,a866),f880(x98092,a866))),f326(f326(f261(f880(x98092,a866),f880(x98092,a866)),x98093),x98091)),f317(x98092,x98094)))+~P103(f326(f326(f328(x98092),x98095),x98091))+~P103(f326(f326(f328(f879(x98092,x98092)),f326(f326(f261(x98092,x98092),f629(x98094,x98091,x98093,x98092)),x98095)),x98094))
% 149.08/148.76 [9972]~P78(x99721)+~E(f326(f326(f6(x99725,x99721),x99722),x99726),x99724)+~P103(f326(f62(x99725),x99726))+P103(f326(f326(f328(x99725),f337(x99723,x99724,x99722,x99726,x99725,x99721)),x99726))+P103(f326(f326(f240(x99721),f326(x99722,x99723)),x99724))+~P103(f326(f326(f328(x99725),x99723),x99726))
% 149.08/148.76 [10019]~P78(x100191)+~E(f326(f326(f6(x100195,x100191),x100192),x100196),x100194)+~P103(f326(f62(x100195),x100196))+~P103(f326(f326(f328(x100195),x100193),x100196))+~P103(f326(f326(f240(x100191),f2(x100191)),f326(x100192,f337(x100193,x100194,x100192,x100196,x100195,x100191))))+P103(f326(f326(f240(x100191),f326(x100192,x100193)),x100194))
% 149.08/148.76 [10131]~E(x101315,x101318)+~E(x101314,x101317)+~P106(x101311)+~P72(x101312)+E(f326(f326(f6(x101311,x101312),x101313),f326(f296(x101311,x101314),x101315)),f326(f326(f6(x101311,x101312),x101316),f326(f296(x101311,x101317),x101318)))+P103(f326(f326(f240(x101311),x101314),f633(x101313,x101316,x101315,x101318,x101314,x101317,x101311,x101312)))
% 149.08/148.76 [10148]~E(x101487,x101484)+~E(x101488,x101485)+~P106(x101481)+~P72(x101482)+~E(f326(x101483,f633(x101486,x101483,x101488,x101485,x101487,x101484,x101481,x101482)),f326(x101486,f633(x101486,x101483,x101488,x101485,x101487,x101484,x101481,x101482)))+E(f326(f326(f6(x101481,x101482),x101483),f326(f296(x101481,x101484),x101485)),f326(f326(f6(x101481,x101482),x101486),f326(f296(x101481,x101487),x101488)))
% 149.08/148.76 [10150]~E(x101504,x101507)+~E(x101505,x101508)+~P106(x101501)+~P72(x101502)+E(f326(f326(f6(x101501,x101502),x101503),f326(f296(x101501,x101504),x101505)),f326(f326(f6(x101501,x101502),x101506),f326(f296(x101501,x101507),x101508)))+P103(f326(f326(f241(x101501),f633(x101503,x101506,x101505,x101508,x101504,x101507,x101501,x101502)),x101505))
% 149.08/148.76 [9814]~P3(x98145,x98149,x98146)+~P3(x98141,x981410,x98143)+~P10(x98141,x98145,f880(x98142,a866),x98143,x98146,x98148)+~P103(f326(f326(f328(x98145),x98147),x98149))+~P103(f326(f326(f328(x98141),x98144),x981410))+E(f326(f326(f42(x98141,f880(x98142,a866)),f326(f280(x98141,x98141,x98143),f326(f326(f304(x98141),x98144),f190(f880(x98141,a866))))),f326(f326(f8(f880(x98145,f880(x98142,a866)),f880(x98142,a866),x98141),f326(f42(x98145,f880(x98142,a866)),f326(f280(x98145,x98145,x98146),f326(f326(f304(x98145),x98147),f190(f880(x98145,a866)))))),x98148)),f326(f326(x98148,x98144),x98147))
% 149.08/148.76 [5573]~P105(x55733)+~P28(x55733,x55732)+~P28(x55733,x55731)+E(x55731,x55732)+~E(f326(f168(x55733),x55731),f326(f168(x55733),x55732))+~P103(f326(f133(x55733),x55732))+~P103(f326(f133(x55733),x55731))
% 149.08/148.76 [4910]~P124(x49102)+~P125(x49102)+~P140(x49102)+~P112(x49102)+~E(x49103,f2(x49102))+E(x49101,f2(a872))+E(f326(f326(f251(x49102),x49103),x49101),f2(x49102))
% 149.08/148.76 [9113]E(x91131,f2(a872))+~E(x91132,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x91133)),x91131)),f326(f264(a872,a872),x91133)))+P103(f326(f48(x91132,x91131),x91133))+~P103(f326(f326(f240(a872),f326(f264(a872,a872),x91133)),f2(a872)))+~P103(f326(f326(f240(a872),f2(a872)),f326(f264(a872,a872),x91133)))+~P103(f326(f326(f241(a872),x91131),f326(f264(a872,a872),x91133)))+~P103(f326(f326(f241(a872),f326(f264(a872,a872),x91133)),x91131))
% 149.08/148.76 [9122]~E(f326(f260(a872,a872),x91223),f2(a872))+~E(x91221,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),x91223)),x91222)),f326(f264(a872,a872),x91223)))+P103(f326(f48(x91221,x91222),x91223))+~P103(f326(f326(f240(a872),f326(f264(a872,a872),x91223)),f2(a872)))+~P103(f326(f326(f240(a872),f2(a872)),f326(f264(a872,a872),x91223)))+~P103(f326(f326(f241(a872),x91222),f326(f264(a872,a872),x91223)))+~P103(f326(f326(f241(a872),f326(f264(a872,a872),x91223)),x91222))
% 149.08/148.76 [7970]~P69(x79702)+E(x79701,f190(f880(x79702,a866)))+E(x79703,f190(f880(x79702,a866)))+~P103(f326(f62(x79702),x79701))+~P103(f326(f62(x79702),x79703))+~E(f326(f326(f106(f880(x79702,a866)),x79703),x79701),f190(f880(x79702,a866)))+E(f326(f326(f82(x79702),f326(f64(x79702,f82(x79702)),x79703)),f326(f64(x79702,f82(x79702)),x79701)),f326(f64(x79702,f82(x79702)),f326(f326(f115(f880(x79702,a866)),x79703),x79701)))
% 149.08/148.76 [7754]E(x77541,f2(a1))+E(f326(f326(f39(a1),x77542),x77541),x77543)+~P103(f326(f326(f240(a1),x77544),f2(a1)))+~E(x77542,f326(f326(f81(a1),f326(f326(f82(a1),x77541),x77543)),x77544))+~P103(f326(f326(f240(a1),f2(a1)),x77544))+~P103(f326(f326(f241(a1),x77544),x77541))+~P103(f326(f326(f241(a1),x77541),x77544))
% 149.08/148.76 [7761]E(f45(a1,x77612,x77611),x77613)+E(x77611,f2(a1))+~P103(f326(f326(f240(a1),x77613),f2(a1)))+~E(x77612,f326(f326(f81(a1),f326(f326(f82(a1),x77611),x77614)),x77613))+~P103(f326(f326(f240(a1),f2(a1)),x77613))+~P103(f326(f326(f241(a1),x77613),x77611))+~P103(f326(f326(f241(a1),x77611),x77613))
% 149.08/148.76 [7666]~P14(x76662,x76665,x76664)+E(x76661,f190(f880(x76662,a866)))+E(x76663,f190(f880(x76662,a866)))+~P103(f326(f62(x76662),x76661))+~P103(f326(f62(x76662),x76663))+~E(f326(f326(f106(f880(x76662,a866)),x76663),x76661),f190(f880(x76662,a866)))+E(f326(x76664,f326(f326(f115(f880(x76662,a866)),x76663),x76661)),f326(f326(x76665,f326(x76664,x76663)),f326(x76664,x76661)))
% 149.08/148.76 [9358]~P21(x93583,x93581,x93585,x93584)+~P21(x93581,x93583,x93586,x93582)+E(f326(f38(x93581),x93582),f326(f38(x93583),x93584))+~P103(f326(f62(x93583),x93584))+~P103(f326(f62(x93581),x93582))+~P103(f326(f326(f240(f880(x93583,a866)),f326(f305(x93581,x93583,x93586),x93582)),x93584))+~P103(f326(f326(f240(f880(x93581,a866)),f326(f305(x93583,x93581,x93585),x93584)),x93582))
% 149.08/148.76 [9302]~P103(f326(f326(f241(a1),f326(f326(f81(a1),f326(f326(f82(a1),x93025),x93021)),x93026)),f2(a1)))+~E(f326(f326(f81(a1),f326(f326(f82(a1),x93023),x93022)),x93024),f326(f326(f81(a1),f326(f326(f82(a1),x93025),x93021)),x93026))+~P103(f326(f326(f240(a1),f2(a1)),x93026))+~P103(f326(f326(f241(a1),f2(a1)),x93025))+~P103(f326(f326(f240(a1),x93025),x93023))+~P103(f326(f326(f241(a1),x93024),x93023))+P103(f326(f326(f240(a1),x93021),x93022))
% 149.08/148.76 [9066]~E(f326(f326(f81(a1),f326(f326(f82(a1),x90663),x90661)),x90664),f326(f326(f81(a1),f326(f326(f82(a1),x90665),x90662)),x90666))+~P103(f326(f326(f240(a1),f2(a1)),x90664))+~P103(f326(f326(f241(a1),f2(a1)),x90665))+~P103(f326(f326(f240(a1),x90665),x90663))+~P103(f326(f326(f241(a1),x90666),x90665))+P103(f326(f326(f240(a1),x90661),x90662))+~P103(f326(f326(f240(a1),f2(a1)),f326(f326(f81(a1),f326(f326(f82(a1),x90665),x90662)),x90666)))
% 149.08/148.76 [9243]~P128(x92431)+~E(f326(f326(f81(x92431),x92432),x92434),f79(x92431))+~P103(f326(f326(f240(x92431),x92435),x92436))+~P103(f326(f326(f240(x92431),x92433),x92436))+~P103(f326(f326(f240(x92431),f2(x92431)),x92434))+~P103(f326(f326(f240(x92431),f2(x92431)),x92432))+P103(f326(f326(f240(x92431),f326(f326(f81(x92431),f326(f326(f82(x92431),x92432),x92433)),f326(f326(f82(x92431),x92434),x92435))),x92436))
% 149.08/148.76 [9244]~P129(x92441)+~E(f326(f326(f81(x92441),x92442),x92444),f79(x92441))+~P103(f326(f326(f240(x92441),f2(x92441)),x92444))+~P103(f326(f326(f240(x92441),f2(x92441)),x92442))+~P103(f326(f326(f241(x92441),x92445),x92446))+~P103(f326(f326(f241(x92441),x92443),x92446))+P103(f326(f326(f241(x92441),f326(f326(f81(x92441),f326(f326(f82(x92441),x92442),x92443)),f326(f326(f82(x92441),x92444),x92445))),x92446))
% 149.08/148.76 [10064]~P3(x100647,x100646,x100645)+E(x100641,x100642)+~P9(x100647,f880(x100644,a866),x100645,x100643)+E(f326(x100643,f546(x100641,x100642,x100643,x100644,x100645,x100646,x100647)),f326(x100643,f547(x100641,x100642,x100643,x100644,x100645,x100646,x100647)))+~E(f326(f326(f42(x100647,f880(x100644,a866)),x100641),x100643),f326(f326(f42(x100647,f880(x100644,a866)),x100642),x100643))+~P103(f326(f326(f328(f880(x100647,a866)),x100642),f326(f326(f61(x100647),x100646),x100645)))+~P103(f326(f326(f328(f880(x100647,a866)),x100641),f326(f326(f61(x100647),x100646),x100645)))
% 149.08/148.76 [10098]~P3(x100983,x100987,x100986)+E(x100981,x100982)+~P9(x100983,f880(x100985,a866),x100986,x100984)+~E(f326(f326(f42(x100983,f880(x100985,a866)),x100981),x100984),f326(f326(f42(x100983,f880(x100985,a866)),x100982),x100984))+P103(f326(f326(f328(x100983),f547(x100981,x100982,x100984,x100985,x100986,x100987,x100983)),x100987))+~P103(f326(f326(f328(f880(x100983,a866)),x100982),f326(f326(f61(x100983),x100987),x100986)))+~P103(f326(f326(f328(f880(x100983,a866)),x100981),f326(f326(f61(x100983),x100987),x100986)))
% 149.08/148.76 [10099]~P3(x100993,x100997,x100996)+E(x100991,x100992)+~P9(x100993,f880(x100995,a866),x100996,x100994)+~E(f326(f326(f42(x100993,f880(x100995,a866)),x100991),x100994),f326(f326(f42(x100993,f880(x100995,a866)),x100992),x100994))+P103(f326(f326(f328(x100993),f546(x100991,x100992,x100994,x100995,x100996,x100997,x100993)),x100997))+~P103(f326(f326(f328(f880(x100993,a866)),x100992),f326(f326(f61(x100993),x100997),x100996)))+~P103(f326(f326(f328(f880(x100993,a866)),x100991),f326(f326(f61(x100993),x100997),x100996)))
% 149.08/148.76 [10167]E(x101671,x101672)+~P3(x101673,x101676,x101677)+~P9(x101673,f880(x101674,a866),x101677,x101675)+~E(f326(f326(f42(x101673,f880(x101674,a866)),x101671),x101675),f326(f326(f42(x101673,f880(x101674,a866)),x101672),x101675))+~P103(f326(f326(f328(f879(x101673,x101673)),f326(f326(f261(x101673,x101673),f547(x101671,x101672,x101675,x101674,x101677,x101676,x101673)),f546(x101671,x101672,x101675,x101674,x101677,x101676,x101673))),x101677))+~P103(f326(f326(f328(f880(x101673,a866)),x101672),f326(f326(f61(x101673),x101676),x101677)))+~P103(f326(f326(f328(f880(x101673,a866)),x101671),f326(f326(f61(x101673),x101676),x101677)))
% 149.08/148.76 [9065]~P3(x90651,x90657,x90654)+~E(x90655,x90656)+~P103(f326(f326(f328(x90651),x90653),x90656))+~P103(f326(f326(f328(x90651),x90652),x90655))+~P103(f326(f326(f328(f880(x90651,a866)),x90656),f326(f326(f61(x90651),x90657),x90654)))+~P103(f326(f326(f328(f880(x90651,a866)),x90655),f326(f326(f61(x90651),x90657),x90654)))+P103(f326(f326(f328(f879(x90651,x90651)),f326(f326(f261(x90651,x90651),x90652),x90653)),x90654))
% 149.08/148.76 [9200]E(x92001,x92002)+~P3(x92003,x92004,x92005)+~P103(f326(f326(f328(x92003),x92006),x92002))+~P103(f326(f326(f328(x92003),x92007),x92001))+~P103(f326(f326(f328(f880(x92003,a866)),x92002),f326(f326(f61(x92003),x92004),x92005)))+~P103(f326(f326(f328(f880(x92003,a866)),x92001),f326(f326(f61(x92003),x92004),x92005)))+~P103(f326(f326(f328(f879(x92003,x92003)),f326(f326(f261(x92003,x92003),x92007),x92006)),x92005))
% 149.08/148.76 [10190]~P3(x101909,x101908,x101907)+~P3(x101901,x1019011,x1019010)+~P10(x101901,x101909,f880(x101906,a866),x1019010,x101907,x101905)+P103(f326(f326(f328(x101901),f549(x101902,x101903,x101904,x101905,x101906,x101907,x101908,x101909,x1019010,x1019011,x101901)),x1019011))+~P103(f326(f326(f328(f880(x101909,a866)),x101903),f326(f326(f61(x101909),x101908),x101907)))+~P103(f326(f326(f328(f880(x101901,a866)),x101904),f326(f326(f61(x101901),x1019011),x1019010)))+P103(f326(f326(f328(f880(x101906,a866)),f326(f326(f42(x101901,f880(x101906,a866)),x101904),f326(f326(f8(f880(x101909,f880(x101906,a866)),f880(x101906,a866),x101901),f326(f42(x101909,f880(x101906,a866)),x101903)),x101905))),x101902))
% 149.08/148.76 [10191]~P3(x1019111,x1019110,x101919)+~P3(x101911,x101918,x101917)+~P10(x1019111,x101911,f880(x101916,a866),x101919,x101917,x101915)+P103(f326(f326(f328(x101911),f550(x101912,x101913,x101914,x101915,x101916,x101917,x101918,x101911,x101919,x1019110,x1019111)),x101918))+~P103(f326(f326(f328(f880(x1019111,a866)),x101914),f326(f326(f61(x1019111),x1019110),x101919)))+~P103(f326(f326(f328(f880(x101911,a866)),x101913),f326(f326(f61(x101911),x101918),x101917)))+P103(f326(f326(f328(f880(x101916,a866)),f326(f326(f42(x1019111,f880(x101916,a866)),x101914),f326(f326(f8(f880(x101911,f880(x101916,a866)),f880(x101916,a866),x1019111),f326(f42(x101911,f880(x101916,a866)),x101913)),x101915))),x101912))
% 149.08/148.76 [10194]~P3(x101942,x101948,x101949)+~P3(x101944,x1019410,x1019411)+~P10(x101942,x101944,f880(x101941,a866),x101949,x1019411,x101946)+~P103(f326(f326(f328(f880(x101942,a866)),x101943),f326(f326(f61(x101942),x101948),x101949)))+~P103(f326(f326(f328(f880(x101944,a866)),x101945),f326(f326(f61(x101944),x1019410),x1019411)))+~P103(f326(f326(f328(f880(x101941,a866)),f326(f326(x101946,f549(x101947,x101945,x101943,x101946,x101941,x1019411,x1019410,x101944,x101949,x101948,x101942)),f550(x101947,x101945,x101943,x101946,x101941,x1019411,x1019410,x101944,x101949,x101948,x101942))),x101947))+P103(f326(f326(f328(f880(x101941,a866)),f326(f326(f42(x101942,f880(x101941,a866)),x101943),f326(f326(f8(f880(x101944,f880(x101941,a866)),f880(x101941,a866),x101942),f326(f42(x101944,f880(x101941,a866)),x101945)),x101946))),x101947))
% 149.08/148.76 [9100]E(x91001,x91002)+~P105(x91004)+~P21(x91003,x91004,x91005,f326(f326(f115(f880(x91003,a866)),f326(f168(x91003),x91001)),f326(f168(x91003),x91002)))+~E(f326(f168(x91003),x91001),f326(f168(x91003),x91002))+~P28(x91004,f326(f326(f150(x91003,x91004),x91005),x91002))+~P28(x91004,f326(f326(f150(x91003,x91004),x91005),x91001))+~P103(f326(f133(x91004),f326(f326(f150(x91003,x91004),x91005),x91002)))+~P103(f326(f133(x91004),f326(f326(f150(x91003,x91004),x91005),x91001)))
% 149.08/148.76 %EqnAxiom
% 149.08/148.76 [1]E(x11,x11)
% 149.08/148.76 [2]E(x22,x21)+~E(x21,x22)
% 149.08/148.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 149.08/148.76 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 149.08/148.76 [5]~E(x51,x52)+E(f105(x51),f105(x52))
% 149.08/148.76 [6]~E(x61,x62)+E(f22(x61),f22(x62))
% 149.08/148.76 [7]~E(x71,x72)+E(f190(x71),f190(x72))
% 149.08/148.76 [8]~E(x81,x82)+E(f326(x81,x83),f326(x82,x83))
% 149.08/148.76 [9]~E(x91,x92)+E(f326(x93,x91),f326(x93,x92))
% 149.08/148.76 [10]~E(x101,x102)+E(f32(x101),f32(x102))
% 149.08/148.76 [11]~E(x111,x112)+E(f873(x111),f873(x112))
% 149.08/148.76 [12]~E(x121,x122)+E(f106(x121),f106(x122))
% 149.08/148.76 [13]~E(x131,x132)+E(f238(x131),f238(x132))
% 149.08/148.76 [14]~E(x141,x142)+E(f115(x141),f115(x142))
% 149.08/148.76 [15]~E(x151,x152)+E(f239(x151),f239(x152))
% 149.08/148.76 [16]~E(x161,x162)+E(f107(x161),f107(x162))
% 149.08/148.76 [17]~E(x171,x172)+E(f35(x171),f35(x172))
% 149.08/148.76 [18]~E(x181,x182)+E(f85(x181),f85(x182))
% 149.08/148.76 [19]~E(x191,x192)+E(f314(x191,x193),f314(x192,x193))
% 149.08/148.76 [20]~E(x201,x202)+E(f314(x203,x201),f314(x203,x202))
% 149.08/148.76 [21]~E(x211,x212)+E(f108(x211),f108(x212))
% 149.08/148.76 [22]~E(x221,x222)+E(f550(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f550(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 149.08/148.76 [23]~E(x231,x232)+E(f550(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f550(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 149.08/148.76 [24]~E(x241,x242)+E(f550(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f550(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 149.08/148.76 [25]~E(x251,x252)+E(f550(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f550(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512))
% 149.08/148.76 [26]~E(x261,x262)+E(f550(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f550(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612))
% 149.08/148.76 [27]~E(x271,x272)+E(f550(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f550(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712))
% 149.08/148.76 [28]~E(x281,x282)+E(f550(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f550(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812))
% 149.08/148.76 [29]~E(x291,x292)+E(f550(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f550(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912))
% 149.08/148.76 [30]~E(x301,x302)+E(f550(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f550(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012))
% 149.08/148.76 [31]~E(x311,x312)+E(f550(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f550(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112))
% 149.08/148.76 [32]~E(x321,x322)+E(f550(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f550(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322))
% 149.08/148.76 [33]~E(x331,x332)+E(f79(x331),f79(x332))
% 149.08/148.76 [34]~E(x341,x342)+E(f177(x341),f177(x342))
% 149.08/148.76 [35]~E(x351,x352)+E(f549(x351,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f549(x352,x353,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 149.08/148.76 [36]~E(x361,x362)+E(f549(x363,x361,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612),f549(x363,x362,x364,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 149.08/148.76 [37]~E(x371,x372)+E(f549(x373,x374,x371,x375,x376,x377,x378,x379,x3710,x3711,x3712),f549(x373,x374,x372,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 149.08/148.76 [38]~E(x381,x382)+E(f549(x383,x384,x385,x381,x386,x387,x388,x389,x3810,x3811,x3812),f549(x383,x384,x385,x382,x386,x387,x388,x389,x3810,x3811,x3812))
% 149.08/148.76 [39]~E(x391,x392)+E(f549(x393,x394,x395,x396,x391,x397,x398,x399,x3910,x3911,x3912),f549(x393,x394,x395,x396,x392,x397,x398,x399,x3910,x3911,x3912))
% 149.08/148.76 [40]~E(x401,x402)+E(f549(x403,x404,x405,x406,x407,x401,x408,x409,x4010,x4011,x4012),f549(x403,x404,x405,x406,x407,x402,x408,x409,x4010,x4011,x4012))
% 149.08/148.76 [41]~E(x411,x412)+E(f549(x413,x414,x415,x416,x417,x418,x411,x419,x4110,x4111,x4112),f549(x413,x414,x415,x416,x417,x418,x412,x419,x4110,x4111,x4112))
% 149.08/148.76 [42]~E(x421,x422)+E(f549(x423,x424,x425,x426,x427,x428,x429,x421,x4210,x4211,x4212),f549(x423,x424,x425,x426,x427,x428,x429,x422,x4210,x4211,x4212))
% 149.08/148.76 [43]~E(x431,x432)+E(f549(x433,x434,x435,x436,x437,x438,x439,x4310,x431,x4311,x4312),f549(x433,x434,x435,x436,x437,x438,x439,x4310,x432,x4311,x4312))
% 149.08/148.76 [44]~E(x441,x442)+E(f549(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x441,x4412),f549(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x442,x4412))
% 149.08/148.76 [45]~E(x451,x452)+E(f549(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x451),f549(x453,x454,x455,x456,x457,x458,x459,x4510,x4511,x4512,x452))
% 149.08/148.76 [46]~E(x461,x462)+E(f116(x461),f116(x462))
% 149.08/148.76 [47]~E(x471,x472)+E(f328(x471),f328(x472))
% 149.08/148.76 [48]~E(x481,x482)+E(f880(x481,x483),f880(x482,x483))
% 149.08/148.76 [49]~E(x491,x492)+E(f880(x493,x491),f880(x493,x492))
% 149.08/148.76 [50]~E(x501,x502)+E(f4(x501),f4(x502))
% 149.08/148.76 [51]~E(x511,x512)+E(f241(x511),f241(x512))
% 149.08/148.76 [52]~E(x521,x522)+E(f871(x521),f871(x522))
% 149.08/148.76 [53]~E(x531,x532)+E(f876(x531),f876(x532))
% 149.08/148.76 [54]~E(x541,x542)+E(f293(x541,x543,x544,x545),f293(x542,x543,x544,x545))
% 149.08/148.76 [55]~E(x551,x552)+E(f293(x553,x551,x554,x555),f293(x553,x552,x554,x555))
% 149.08/148.76 [56]~E(x561,x562)+E(f293(x563,x564,x561,x565),f293(x563,x564,x562,x565))
% 149.08/148.76 [57]~E(x571,x572)+E(f293(x573,x574,x575,x571),f293(x573,x574,x575,x572))
% 149.08/148.76 [58]~E(x581,x582)+E(f874(x581),f874(x582))
% 149.08/148.76 [59]~E(x591,x592)+E(f246(x591),f246(x592))
% 149.08/148.76 [60]~E(x601,x602)+E(f81(x601),f81(x602))
% 149.08/148.76 [61]~E(x611,x612)+E(f7(x611,x613,x614),f7(x612,x613,x614))
% 149.08/148.76 [62]~E(x621,x622)+E(f7(x623,x621,x624),f7(x623,x622,x624))
% 149.08/148.76 [63]~E(x631,x632)+E(f7(x633,x634,x631),f7(x633,x634,x632))
% 149.08/148.76 [64]~E(x641,x642)+E(f261(x641,x643),f261(x642,x643))
% 149.08/148.76 [65]~E(x651,x652)+E(f261(x653,x651),f261(x653,x652))
% 149.08/148.76 [66]~E(x661,x662)+E(f80(x661),f80(x662))
% 149.08/148.76 [67]~E(x671,x672)+E(f15(x671,x673),f15(x672,x673))
% 149.08/148.76 [68]~E(x681,x682)+E(f15(x683,x681),f15(x683,x682))
% 149.08/148.76 [69]~E(x691,x692)+E(f191(x691),f191(x692))
% 149.08/148.76 [70]~E(x701,x702)+E(f176(x701,x703),f176(x702,x703))
% 149.08/148.76 [71]~E(x711,x712)+E(f176(x713,x711),f176(x713,x712))
% 149.08/148.76 [72]~E(x721,x722)+E(f82(x721),f82(x722))
% 149.08/148.76 [73]~E(x731,x732)+E(f147(x731),f147(x732))
% 149.08/148.76 [74]~E(x741,x742)+E(f879(x741,x743),f879(x742,x743))
% 149.08/148.76 [75]~E(x751,x752)+E(f879(x753,x751),f879(x753,x752))
% 149.08/148.76 [76]~E(x761,x762)+E(f304(x761),f304(x762))
% 149.08/148.76 [77]~E(x771,x772)+E(f31(x771,x773,x774),f31(x772,x773,x774))
% 149.08/148.76 [78]~E(x781,x782)+E(f31(x783,x781,x784),f31(x783,x782,x784))
% 149.08/148.76 [79]~E(x791,x792)+E(f31(x793,x794,x791),f31(x793,x794,x792))
% 149.08/148.76 [80]~E(x801,x802)+E(f76(x801),f76(x802))
% 149.08/148.76 [81]~E(x811,x812)+E(f240(x811),f240(x812))
% 149.08/148.76 [82]~E(x821,x822)+E(f466(x821,x823),f466(x822,x823))
% 149.08/148.76 [83]~E(x831,x832)+E(f466(x833,x831),f466(x833,x832))
% 149.08/148.76 [84]~E(x841,x842)+E(f197(x841),f197(x842))
% 149.08/148.76 [85]~E(x851,x852)+E(f152(x851,x853,x854,x855),f152(x852,x853,x854,x855))
% 149.08/148.76 [86]~E(x861,x862)+E(f152(x863,x861,x864,x865),f152(x863,x862,x864,x865))
% 149.08/148.76 [87]~E(x871,x872)+E(f152(x873,x874,x871,x875),f152(x873,x874,x872,x875))
% 149.08/148.76 [88]~E(x881,x882)+E(f152(x883,x884,x885,x881),f152(x883,x884,x885,x882))
% 149.08/148.76 [89]~E(x891,x892)+E(f62(x891),f62(x892))
% 149.08/148.76 [90]~E(x901,x902)+E(f118(x901),f118(x902))
% 149.08/148.76 [91]~E(x911,x912)+E(f180(x911,x913,x914),f180(x912,x913,x914))
% 149.08/148.76 [92]~E(x921,x922)+E(f180(x923,x921,x924),f180(x923,x922,x924))
% 149.08/148.76 [93]~E(x931,x932)+E(f180(x933,x934,x931),f180(x933,x934,x932))
% 149.08/148.76 [94]~E(x941,x942)+E(f61(x941),f61(x942))
% 149.08/148.76 [95]~E(x951,x952)+E(f442(x951,x953,x954,x955),f442(x952,x953,x954,x955))
% 149.08/148.76 [96]~E(x961,x962)+E(f442(x963,x961,x964,x965),f442(x963,x962,x964,x965))
% 149.08/148.76 [97]~E(x971,x972)+E(f442(x973,x974,x971,x975),f442(x973,x974,x972,x975))
% 149.08/148.76 [98]~E(x981,x982)+E(f442(x983,x984,x985,x981),f442(x983,x984,x985,x982))
% 149.08/148.76 [99]~E(x991,x992)+E(f119(x991,x993),f119(x992,x993))
% 149.08/148.76 [100]~E(x1001,x1002)+E(f119(x1003,x1001),f119(x1003,x1002))
% 149.08/148.76 [101]~E(x1011,x1012)+E(f562(x1011,x1013,x1014,x1015,x1016),f562(x1012,x1013,x1014,x1015,x1016))
% 149.08/148.76 [102]~E(x1021,x1022)+E(f562(x1023,x1021,x1024,x1025,x1026),f562(x1023,x1022,x1024,x1025,x1026))
% 149.08/148.76 [103]~E(x1031,x1032)+E(f562(x1033,x1034,x1031,x1035,x1036),f562(x1033,x1034,x1032,x1035,x1036))
% 149.08/148.76 [104]~E(x1041,x1042)+E(f562(x1043,x1044,x1045,x1041,x1046),f562(x1043,x1044,x1045,x1042,x1046))
% 149.08/148.76 [105]~E(x1051,x1052)+E(f562(x1053,x1054,x1055,x1056,x1051),f562(x1053,x1054,x1055,x1056,x1052))
% 149.08/148.76 [106]~E(x1061,x1062)+E(f162(x1061),f162(x1062))
% 149.08/148.76 [107]~E(x1071,x1072)+E(f13(x1071,x1073,x1074),f13(x1072,x1073,x1074))
% 149.08/148.76 [108]~E(x1081,x1082)+E(f13(x1083,x1081,x1084),f13(x1083,x1082,x1084))
% 149.08/148.76 [109]~E(x1091,x1092)+E(f13(x1093,x1094,x1091),f13(x1093,x1094,x1092))
% 149.08/148.76 [110]~E(x1101,x1102)+E(f49(x1101,x1103),f49(x1102,x1103))
% 149.08/148.76 [111]~E(x1111,x1112)+E(f49(x1113,x1111),f49(x1113,x1112))
% 149.08/148.76 [112]~E(x1121,x1122)+E(f173(x1121,x1123,x1124),f173(x1122,x1123,x1124))
% 149.08/148.76 [113]~E(x1131,x1132)+E(f173(x1133,x1131,x1134),f173(x1133,x1132,x1134))
% 149.08/148.76 [114]~E(x1141,x1142)+E(f173(x1143,x1144,x1141),f173(x1143,x1144,x1142))
% 149.08/148.76 [115]~E(x1151,x1152)+E(f14(x1151,x1153),f14(x1152,x1153))
% 149.08/148.76 [116]~E(x1161,x1162)+E(f14(x1163,x1161),f14(x1163,x1162))
% 149.08/148.76 [117]~E(x1171,x1172)+E(f8(x1171,x1173,x1174),f8(x1172,x1173,x1174))
% 149.08/148.76 [118]~E(x1181,x1182)+E(f8(x1183,x1181,x1184),f8(x1183,x1182,x1184))
% 149.08/148.76 [119]~E(x1191,x1192)+E(f8(x1193,x1194,x1191),f8(x1193,x1194,x1192))
% 149.08/148.76 [120]~E(x1201,x1202)+E(f295(x1201),f295(x1202))
% 149.08/148.76 [121]~E(x1211,x1212)+E(f283(x1211,x1213,x1214),f283(x1212,x1213,x1214))
% 149.08/148.76 [122]~E(x1221,x1222)+E(f283(x1223,x1221,x1224),f283(x1223,x1222,x1224))
% 149.08/148.76 [123]~E(x1231,x1232)+E(f283(x1233,x1234,x1231),f283(x1233,x1234,x1232))
% 149.08/148.76 [124]~E(x1241,x1242)+E(f83(x1241,x1243),f83(x1242,x1243))
% 149.08/148.76 [125]~E(x1251,x1252)+E(f83(x1253,x1251),f83(x1253,x1252))
% 149.08/148.76 [126]~E(x1261,x1262)+E(f666(x1261,x1263),f666(x1262,x1263))
% 149.08/148.76 [127]~E(x1271,x1272)+E(f666(x1273,x1271),f666(x1273,x1272))
% 149.08/148.76 [128]~E(x1281,x1282)+E(f16(x1281,x1283),f16(x1282,x1283))
% 149.08/148.76 [129]~E(x1291,x1292)+E(f16(x1293,x1291),f16(x1293,x1292))
% 149.08/148.76 [130]~E(x1301,x1302)+E(f126(x1301),f126(x1302))
% 149.08/148.76 [131]~E(x1311,x1312)+E(f233(x1311),f233(x1312))
% 149.08/148.76 [132]~E(x1321,x1322)+E(f133(x1321),f133(x1322))
% 149.08/148.76 [133]~E(x1331,x1332)+E(f6(x1331,x1333),f6(x1332,x1333))
% 149.08/148.76 [134]~E(x1341,x1342)+E(f6(x1343,x1341),f6(x1343,x1342))
% 149.08/148.76 [135]~E(x1351,x1352)+E(f92(x1351),f92(x1352))
% 149.08/148.76 [136]~E(x1361,x1362)+E(f50(x1361,x1363),f50(x1362,x1363))
% 149.08/148.76 [137]~E(x1371,x1372)+E(f50(x1373,x1371),f50(x1373,x1372))
% 149.08/148.76 [138]~E(x1381,x1382)+E(f305(x1381,x1383,x1384),f305(x1382,x1383,x1384))
% 149.08/148.76 [139]~E(x1391,x1392)+E(f305(x1393,x1391,x1394),f305(x1393,x1392,x1394))
% 149.08/148.76 [140]~E(x1401,x1402)+E(f305(x1403,x1404,x1401),f305(x1403,x1404,x1402))
% 149.08/148.76 [141]~E(x1411,x1412)+E(f48(x1411,x1413),f48(x1412,x1413))
% 149.08/148.76 [142]~E(x1421,x1422)+E(f48(x1423,x1421),f48(x1423,x1422))
% 149.08/148.76 [143]~E(x1431,x1432)+E(f814(x1431,x1433,x1434),f814(x1432,x1433,x1434))
% 149.08/148.76 [144]~E(x1441,x1442)+E(f814(x1443,x1441,x1444),f814(x1443,x1442,x1444))
% 149.08/148.76 [145]~E(x1451,x1452)+E(f814(x1453,x1454,x1451),f814(x1453,x1454,x1452))
% 149.08/148.76 [146]~E(x1461,x1462)+E(f508(x1461,x1463,x1464),f508(x1462,x1463,x1464))
% 149.08/148.76 [147]~E(x1471,x1472)+E(f508(x1473,x1471,x1474),f508(x1473,x1472,x1474))
% 149.08/148.76 [148]~E(x1481,x1482)+E(f508(x1483,x1484,x1481),f508(x1483,x1484,x1482))
% 149.08/148.76 [149]~E(x1491,x1492)+E(f150(x1491,x1493),f150(x1492,x1493))
% 149.08/148.76 [150]~E(x1501,x1502)+E(f150(x1503,x1501),f150(x1503,x1502))
% 149.08/148.76 [151]~E(x1511,x1512)+E(f154(x1511,x1513),f154(x1512,x1513))
% 149.08/148.76 [152]~E(x1521,x1522)+E(f154(x1523,x1521),f154(x1523,x1522))
% 149.08/148.76 [153]~E(x1531,x1532)+E(f168(x1531),f168(x1532))
% 149.08/148.76 [154]~E(x1541,x1542)+E(f110(x1541),f110(x1542))
% 149.08/148.76 [155]~E(x1551,x1552)+E(f111(x1551),f111(x1552))
% 149.08/148.76 [156]~E(x1561,x1562)+E(f327(x1561),f327(x1562))
% 149.08/148.76 [157]~E(x1571,x1572)+E(f10(x1571,x1573),f10(x1572,x1573))
% 149.08/148.76 [158]~E(x1581,x1582)+E(f10(x1583,x1581),f10(x1583,x1582))
% 149.08/148.76 [159]~E(x1591,x1592)+E(f193(x1591),f193(x1592))
% 149.08/148.76 [160]~E(x1601,x1602)+E(f59(x1601),f59(x1602))
% 149.08/148.76 [161]~E(x1611,x1612)+E(f157(x1611,x1613),f157(x1612,x1613))
% 149.08/148.76 [162]~E(x1621,x1622)+E(f157(x1623,x1621),f157(x1623,x1622))
% 149.08/148.76 [163]~E(x1631,x1632)+E(f406(x1631,x1633,x1634,x1635),f406(x1632,x1633,x1634,x1635))
% 149.08/148.76 [164]~E(x1641,x1642)+E(f406(x1643,x1641,x1644,x1645),f406(x1643,x1642,x1644,x1645))
% 149.08/148.76 [165]~E(x1651,x1652)+E(f406(x1653,x1654,x1651,x1655),f406(x1653,x1654,x1652,x1655))
% 149.08/148.76 [166]~E(x1661,x1662)+E(f406(x1663,x1664,x1665,x1661),f406(x1663,x1664,x1665,x1662))
% 149.08/148.76 [167]~E(x1671,x1672)+E(f5(x1671),f5(x1672))
% 149.08/148.76 [168]~E(x1681,x1682)+E(f55(x1681,x1683,x1684),f55(x1682,x1683,x1684))
% 149.08/148.76 [169]~E(x1691,x1692)+E(f55(x1693,x1691,x1694),f55(x1693,x1692,x1694))
% 149.08/148.76 [170]~E(x1701,x1702)+E(f55(x1703,x1704,x1701),f55(x1703,x1704,x1702))
% 149.08/148.76 [171]~E(x1711,x1712)+E(f302(x1711,x1713),f302(x1712,x1713))
% 149.08/148.76 [172]~E(x1721,x1722)+E(f302(x1723,x1721),f302(x1723,x1722))
% 149.08/148.76 [173]~E(x1731,x1732)+E(f56(x1731),f56(x1732))
% 149.08/148.76 [174]~E(x1741,x1742)+E(f161(x1741),f161(x1742))
% 149.08/148.76 [175]~E(x1751,x1752)+E(f281(x1751,x1753),f281(x1752,x1753))
% 149.08/148.76 [176]~E(x1761,x1762)+E(f281(x1763,x1761),f281(x1763,x1762))
% 149.08/148.76 [177]~E(x1771,x1772)+E(f251(x1771),f251(x1772))
% 149.08/148.76 [178]~E(x1781,x1782)+E(f204(x1781,x1783),f204(x1782,x1783))
% 149.08/148.76 [179]~E(x1791,x1792)+E(f204(x1793,x1791),f204(x1793,x1792))
% 149.08/148.76 [180]~E(x1801,x1802)+E(f284(x1801),f284(x1802))
% 149.08/148.76 [181]~E(x1811,x1812)+E(f469(x1811,x1813),f469(x1812,x1813))
% 149.08/148.76 [182]~E(x1821,x1822)+E(f469(x1823,x1821),f469(x1823,x1822))
% 149.08/148.76 [183]~E(x1831,x1832)+E(f43(x1831,x1833),f43(x1832,x1833))
% 149.08/148.76 [184]~E(x1841,x1842)+E(f43(x1843,x1841),f43(x1843,x1842))
% 149.08/148.76 [185]~E(x1851,x1852)+E(f249(x1851),f249(x1852))
% 149.08/148.76 [186]~E(x1861,x1862)+E(f551(x1861,x1863,x1864,x1865),f551(x1862,x1863,x1864,x1865))
% 149.08/148.76 [187]~E(x1871,x1872)+E(f551(x1873,x1871,x1874,x1875),f551(x1873,x1872,x1874,x1875))
% 149.08/148.76 [188]~E(x1881,x1882)+E(f551(x1883,x1884,x1881,x1885),f551(x1883,x1884,x1882,x1885))
% 149.08/148.76 [189]~E(x1891,x1892)+E(f551(x1893,x1894,x1895,x1891),f551(x1893,x1894,x1895,x1892))
% 149.08/148.76 [190]~E(x1901,x1902)+E(f138(x1901,x1903,x1904,x1905),f138(x1902,x1903,x1904,x1905))
% 149.08/148.76 [191]~E(x1911,x1912)+E(f138(x1913,x1911,x1914,x1915),f138(x1913,x1912,x1914,x1915))
% 149.08/148.76 [192]~E(x1921,x1922)+E(f138(x1923,x1924,x1921,x1925),f138(x1923,x1924,x1922,x1925))
% 149.08/148.76 [193]~E(x1931,x1932)+E(f138(x1933,x1934,x1935,x1931),f138(x1933,x1934,x1935,x1932))
% 149.08/148.76 [194]~E(x1941,x1942)+E(f306(x1941,x1943,x1944),f306(x1942,x1943,x1944))
% 149.08/148.76 [195]~E(x1951,x1952)+E(f306(x1953,x1951,x1954),f306(x1953,x1952,x1954))
% 149.08/148.76 [196]~E(x1961,x1962)+E(f306(x1963,x1964,x1961),f306(x1963,x1964,x1962))
% 149.08/148.76 [197]~E(x1971,x1972)+E(f263(x1971,x1973),f263(x1972,x1973))
% 149.08/148.76 [198]~E(x1981,x1982)+E(f263(x1983,x1981),f263(x1983,x1982))
% 149.08/148.76 [199]~E(x1991,x1992)+E(f135(x1991,x1993),f135(x1992,x1993))
% 149.08/148.76 [200]~E(x2001,x2002)+E(f135(x2003,x2001),f135(x2003,x2002))
% 149.08/148.76 [201]~E(x2011,x2012)+E(f260(x2011,x2013),f260(x2012,x2013))
% 149.08/148.76 [202]~E(x2021,x2022)+E(f260(x2023,x2021),f260(x2023,x2022))
% 149.08/148.76 [203]~E(x2031,x2032)+E(f66(x2031,x2033,x2034),f66(x2032,x2033,x2034))
% 149.08/148.76 [204]~E(x2041,x2042)+E(f66(x2043,x2041,x2044),f66(x2043,x2042,x2044))
% 149.08/148.76 [205]~E(x2051,x2052)+E(f66(x2053,x2054,x2051),f66(x2053,x2054,x2052))
% 149.08/148.76 [206]~E(x2061,x2062)+E(f155(x2061,x2063),f155(x2062,x2063))
% 149.08/148.76 [207]~E(x2071,x2072)+E(f155(x2073,x2071),f155(x2073,x2072))
% 149.08/148.76 [208]~E(x2081,x2082)+E(f813(x2081,x2083,x2084),f813(x2082,x2083,x2084))
% 149.08/148.76 [209]~E(x2091,x2092)+E(f813(x2093,x2091,x2094),f813(x2093,x2092,x2094))
% 149.08/148.76 [210]~E(x2101,x2102)+E(f813(x2103,x2104,x2101),f813(x2103,x2104,x2102))
% 149.08/148.76 [211]~E(x2111,x2112)+E(f568(x2111,x2113,x2114,x2115),f568(x2112,x2113,x2114,x2115))
% 149.08/148.76 [212]~E(x2121,x2122)+E(f568(x2123,x2121,x2124,x2125),f568(x2123,x2122,x2124,x2125))
% 149.08/148.76 [213]~E(x2131,x2132)+E(f568(x2133,x2134,x2131,x2135),f568(x2133,x2134,x2132,x2135))
% 149.08/148.76 [214]~E(x2141,x2142)+E(f568(x2143,x2144,x2145,x2141),f568(x2143,x2144,x2145,x2142))
% 149.08/148.76 [215]~E(x2151,x2152)+E(f184(x2151,x2153,x2154,x2155),f184(x2152,x2153,x2154,x2155))
% 149.08/148.76 [216]~E(x2161,x2162)+E(f184(x2163,x2161,x2164,x2165),f184(x2163,x2162,x2164,x2165))
% 149.08/148.76 [217]~E(x2171,x2172)+E(f184(x2173,x2174,x2171,x2175),f184(x2173,x2174,x2172,x2175))
% 149.08/148.76 [218]~E(x2181,x2182)+E(f184(x2183,x2184,x2185,x2181),f184(x2183,x2184,x2185,x2182))
% 149.08/148.76 [219]~E(x2191,x2192)+E(f266(x2191,x2193,x2194,x2195,x2196,x2197),f266(x2192,x2193,x2194,x2195,x2196,x2197))
% 149.08/148.76 [220]~E(x2201,x2202)+E(f266(x2203,x2201,x2204,x2205,x2206,x2207),f266(x2203,x2202,x2204,x2205,x2206,x2207))
% 149.08/148.76 [221]~E(x2211,x2212)+E(f266(x2213,x2214,x2211,x2215,x2216,x2217),f266(x2213,x2214,x2212,x2215,x2216,x2217))
% 149.08/148.76 [222]~E(x2221,x2222)+E(f266(x2223,x2224,x2225,x2221,x2226,x2227),f266(x2223,x2224,x2225,x2222,x2226,x2227))
% 149.08/148.76 [223]~E(x2231,x2232)+E(f266(x2233,x2234,x2235,x2236,x2231,x2237),f266(x2233,x2234,x2235,x2236,x2232,x2237))
% 149.08/148.76 [224]~E(x2241,x2242)+E(f266(x2243,x2244,x2245,x2246,x2247,x2241),f266(x2243,x2244,x2245,x2246,x2247,x2242))
% 149.08/148.76 [225]~E(x2251,x2252)+E(f38(x2251),f38(x2252))
% 149.08/148.76 [226]~E(x2261,x2262)+E(f42(x2261,x2263),f42(x2262,x2263))
% 149.08/148.76 [227]~E(x2271,x2272)+E(f42(x2273,x2271),f42(x2273,x2272))
% 149.08/148.76 [228]~E(x2281,x2282)+E(f860(x2281,x2283),f860(x2282,x2283))
% 149.08/148.76 [229]~E(x2291,x2292)+E(f860(x2293,x2291),f860(x2293,x2292))
% 149.08/148.76 [230]~E(x2301,x2302)+E(f45(x2301,x2303,x2304),f45(x2302,x2303,x2304))
% 149.08/148.76 [231]~E(x2311,x2312)+E(f45(x2313,x2311,x2314),f45(x2313,x2312,x2314))
% 149.08/148.76 [232]~E(x2321,x2322)+E(f45(x2323,x2324,x2321),f45(x2323,x2324,x2322))
% 149.08/148.76 [233]~E(x2331,x2332)+E(f178(x2331,x2333),f178(x2332,x2333))
% 149.08/148.76 [234]~E(x2341,x2342)+E(f178(x2343,x2341),f178(x2343,x2342))
% 149.08/148.76 [235]~E(x2351,x2352)+E(f474(x2351,x2353,x2354,x2355),f474(x2352,x2353,x2354,x2355))
% 149.08/148.76 [236]~E(x2361,x2362)+E(f474(x2363,x2361,x2364,x2365),f474(x2363,x2362,x2364,x2365))
% 149.08/148.76 [237]~E(x2371,x2372)+E(f474(x2373,x2374,x2371,x2375),f474(x2373,x2374,x2372,x2375))
% 149.08/148.76 [238]~E(x2381,x2382)+E(f474(x2383,x2384,x2385,x2381),f474(x2383,x2384,x2385,x2382))
% 149.08/148.76 [239]~E(x2391,x2392)+E(f12(x2391,x2393,x2394),f12(x2392,x2393,x2394))
% 149.08/148.76 [240]~E(x2401,x2402)+E(f12(x2403,x2401,x2404),f12(x2403,x2402,x2404))
% 149.08/148.76 [241]~E(x2411,x2412)+E(f12(x2413,x2414,x2411),f12(x2413,x2414,x2412))
% 149.08/148.76 [242]~E(x2421,x2422)+E(f41(x2421,x2423),f41(x2422,x2423))
% 149.08/148.76 [243]~E(x2431,x2432)+E(f41(x2433,x2431),f41(x2433,x2432))
% 149.08/148.76 [244]~E(x2441,x2442)+E(f609(x2441,x2443,x2444,x2445),f609(x2442,x2443,x2444,x2445))
% 149.08/148.76 [245]~E(x2451,x2452)+E(f609(x2453,x2451,x2454,x2455),f609(x2453,x2452,x2454,x2455))
% 149.08/148.76 [246]~E(x2461,x2462)+E(f609(x2463,x2464,x2461,x2465),f609(x2463,x2464,x2462,x2465))
% 149.08/148.76 [247]~E(x2471,x2472)+E(f609(x2473,x2474,x2475,x2471),f609(x2473,x2474,x2475,x2472))
% 149.08/148.76 [248]~E(x2481,x2482)+E(f165(x2481),f165(x2482))
% 149.08/148.76 [249]~E(x2491,x2492)+E(f445(x2491,x2493,x2494),f445(x2492,x2493,x2494))
% 149.08/148.76 [250]~E(x2501,x2502)+E(f445(x2503,x2501,x2504),f445(x2503,x2502,x2504))
% 149.08/148.76 [251]~E(x2511,x2512)+E(f445(x2513,x2514,x2511),f445(x2513,x2514,x2512))
% 149.08/148.76 [252]~E(x2521,x2522)+E(f156(x2521,x2523),f156(x2522,x2523))
% 149.08/148.76 [253]~E(x2531,x2532)+E(f156(x2533,x2531),f156(x2533,x2532))
% 149.08/148.76 [254]~E(x2541,x2542)+E(f458(x2541,x2543,x2544,x2545),f458(x2542,x2543,x2544,x2545))
% 149.08/148.76 [255]~E(x2551,x2552)+E(f458(x2553,x2551,x2554,x2555),f458(x2553,x2552,x2554,x2555))
% 149.08/148.76 [256]~E(x2561,x2562)+E(f458(x2563,x2564,x2561,x2565),f458(x2563,x2564,x2562,x2565))
% 149.08/148.76 [257]~E(x2571,x2572)+E(f458(x2573,x2574,x2575,x2571),f458(x2573,x2574,x2575,x2572))
% 149.08/148.76 [258]~E(x2581,x2582)+E(f275(x2581,x2583,x2584,x2585),f275(x2582,x2583,x2584,x2585))
% 149.08/148.76 [259]~E(x2591,x2592)+E(f275(x2593,x2591,x2594,x2595),f275(x2593,x2592,x2594,x2595))
% 149.08/148.76 [260]~E(x2601,x2602)+E(f275(x2603,x2604,x2601,x2605),f275(x2603,x2604,x2602,x2605))
% 149.08/148.76 [261]~E(x2611,x2612)+E(f275(x2613,x2614,x2615,x2611),f275(x2613,x2614,x2615,x2612))
% 149.08/148.76 [262]~E(x2621,x2622)+E(f132(x2621,x2623),f132(x2622,x2623))
% 149.08/148.76 [263]~E(x2631,x2632)+E(f132(x2633,x2631),f132(x2633,x2632))
% 149.08/148.76 [264]~E(x2641,x2642)+E(f237(x2641),f237(x2642))
% 149.08/148.76 [265]~E(x2651,x2652)+E(f148(x2651,x2653),f148(x2652,x2653))
% 149.08/148.76 [266]~E(x2661,x2662)+E(f148(x2663,x2661),f148(x2663,x2662))
% 149.08/148.76 [267]~E(x2671,x2672)+E(f235(x2671,x2673,x2674,x2675),f235(x2672,x2673,x2674,x2675))
% 149.08/148.76 [268]~E(x2681,x2682)+E(f235(x2683,x2681,x2684,x2685),f235(x2683,x2682,x2684,x2685))
% 149.08/148.76 [269]~E(x2691,x2692)+E(f235(x2693,x2694,x2691,x2695),f235(x2693,x2694,x2692,x2695))
% 149.08/148.76 [270]~E(x2701,x2702)+E(f235(x2703,x2704,x2705,x2701),f235(x2703,x2704,x2705,x2702))
% 149.08/148.76 [271]~E(x2711,x2712)+E(f194(x2711),f194(x2712))
% 149.08/148.76 [272]~E(x2721,x2722)+E(f201(x2721,x2723,x2724,x2725),f201(x2722,x2723,x2724,x2725))
% 149.08/148.76 [273]~E(x2731,x2732)+E(f201(x2733,x2731,x2734,x2735),f201(x2733,x2732,x2734,x2735))
% 149.08/148.76 [274]~E(x2741,x2742)+E(f201(x2743,x2744,x2741,x2745),f201(x2743,x2744,x2742,x2745))
% 149.08/148.76 [275]~E(x2751,x2752)+E(f201(x2753,x2754,x2755,x2751),f201(x2753,x2754,x2755,x2752))
% 149.08/148.76 [276]~E(x2761,x2762)+E(f120(x2761),f120(x2762))
% 149.08/148.76 [277]~E(x2771,x2772)+E(f11(x2771,x2773),f11(x2772,x2773))
% 149.08/148.76 [278]~E(x2781,x2782)+E(f11(x2783,x2781),f11(x2783,x2782))
% 149.08/148.76 [279]~E(x2791,x2792)+E(f802(x2791,x2793,x2794),f802(x2792,x2793,x2794))
% 149.08/148.76 [280]~E(x2801,x2802)+E(f802(x2803,x2801,x2804),f802(x2803,x2802,x2804))
% 149.08/148.76 [281]~E(x2811,x2812)+E(f802(x2813,x2814,x2811),f802(x2813,x2814,x2812))
% 149.08/148.76 [282]~E(x2821,x2822)+E(f255(x2821,x2823,x2824),f255(x2822,x2823,x2824))
% 149.08/148.76 [283]~E(x2831,x2832)+E(f255(x2833,x2831,x2834),f255(x2833,x2832,x2834))
% 149.08/148.76 [284]~E(x2841,x2842)+E(f255(x2843,x2844,x2841),f255(x2843,x2844,x2842))
% 149.08/148.76 [285]~E(x2851,x2852)+E(f65(x2851,x2853,x2854),f65(x2852,x2853,x2854))
% 149.08/148.76 [286]~E(x2861,x2862)+E(f65(x2863,x2861,x2864),f65(x2863,x2862,x2864))
% 149.08/148.76 [287]~E(x2871,x2872)+E(f65(x2873,x2874,x2871),f65(x2873,x2874,x2872))
% 149.08/148.76 [288]~E(x2881,x2882)+E(f264(x2881,x2883),f264(x2882,x2883))
% 149.08/148.76 [289]~E(x2891,x2892)+E(f264(x2893,x2891),f264(x2893,x2892))
% 149.08/148.76 [290]~E(x2901,x2902)+E(f290(x2901,x2903,x2904,x2905),f290(x2902,x2903,x2904,x2905))
% 149.08/148.76 [291]~E(x2911,x2912)+E(f290(x2913,x2911,x2914,x2915),f290(x2913,x2912,x2914,x2915))
% 149.08/148.76 [292]~E(x2921,x2922)+E(f290(x2923,x2924,x2921,x2925),f290(x2923,x2924,x2922,x2925))
% 149.08/148.76 [293]~E(x2931,x2932)+E(f290(x2933,x2934,x2935,x2931),f290(x2933,x2934,x2935,x2932))
% 149.08/148.76 [294]~E(x2941,x2942)+E(f878(x2941,x2943),f878(x2942,x2943))
% 149.08/148.76 [295]~E(x2951,x2952)+E(f878(x2953,x2951),f878(x2953,x2952))
% 149.08/148.76 [296]~E(x2961,x2962)+E(f74(x2961,x2963,x2964,x2965),f74(x2962,x2963,x2964,x2965))
% 149.08/148.76 [297]~E(x2971,x2972)+E(f74(x2973,x2971,x2974,x2975),f74(x2973,x2972,x2974,x2975))
% 149.08/148.76 [298]~E(x2981,x2982)+E(f74(x2983,x2984,x2981,x2985),f74(x2983,x2984,x2982,x2985))
% 149.08/148.76 [299]~E(x2991,x2992)+E(f74(x2993,x2994,x2995,x2991),f74(x2993,x2994,x2995,x2992))
% 149.08/148.76 [300]~E(x3001,x3002)+E(f58(x3001),f58(x3002))
% 149.08/148.76 [301]~E(x3011,x3012)+E(f185(x3011,x3013),f185(x3012,x3013))
% 149.08/148.76 [302]~E(x3021,x3022)+E(f185(x3023,x3021),f185(x3023,x3022))
% 149.08/148.76 [303]~E(x3031,x3032)+E(f164(x3031),f164(x3032))
% 149.08/148.76 [304]~E(x3041,x3042)+E(f39(x3041),f39(x3042))
% 149.08/148.76 [305]~E(x3051,x3052)+E(f411(x3051,x3053,x3054,x3055),f411(x3052,x3053,x3054,x3055))
% 149.08/148.76 [306]~E(x3061,x3062)+E(f411(x3063,x3061,x3064,x3065),f411(x3063,x3062,x3064,x3065))
% 149.08/148.76 [307]~E(x3071,x3072)+E(f411(x3073,x3074,x3071,x3075),f411(x3073,x3074,x3072,x3075))
% 149.08/148.76 [308]~E(x3081,x3082)+E(f411(x3083,x3084,x3085,x3081),f411(x3083,x3084,x3085,x3082))
% 149.08/148.76 [309]~E(x3091,x3092)+E(f742(x3091,x3093,x3094,x3095,x3096),f742(x3092,x3093,x3094,x3095,x3096))
% 149.08/148.76 [310]~E(x3101,x3102)+E(f742(x3103,x3101,x3104,x3105,x3106),f742(x3103,x3102,x3104,x3105,x3106))
% 149.08/148.76 [311]~E(x3111,x3112)+E(f742(x3113,x3114,x3111,x3115,x3116),f742(x3113,x3114,x3112,x3115,x3116))
% 149.08/148.76 [312]~E(x3121,x3122)+E(f742(x3123,x3124,x3125,x3121,x3126),f742(x3123,x3124,x3125,x3122,x3126))
% 149.08/148.76 [313]~E(x3131,x3132)+E(f742(x3133,x3134,x3135,x3136,x3131),f742(x3133,x3134,x3135,x3136,x3132))
% 149.08/148.76 [314]~E(x3141,x3142)+E(f167(x3141),f167(x3142))
% 149.08/148.76 [315]~E(x3151,x3152)+E(f803(x3151,x3153,x3154),f803(x3152,x3153,x3154))
% 149.08/148.76 [316]~E(x3161,x3162)+E(f803(x3163,x3161,x3164),f803(x3163,x3162,x3164))
% 149.08/148.76 [317]~E(x3171,x3172)+E(f803(x3173,x3174,x3171),f803(x3173,x3174,x3172))
% 149.08/148.76 [318]~E(x3181,x3182)+E(f217(x3181),f217(x3182))
% 149.08/148.76 [319]~E(x3191,x3192)+E(f101(x3191),f101(x3192))
% 149.08/148.76 [320]~E(x3201,x3202)+E(f808(x3201,x3203,x3204,x3205),f808(x3202,x3203,x3204,x3205))
% 149.08/148.76 [321]~E(x3211,x3212)+E(f808(x3213,x3211,x3214,x3215),f808(x3213,x3212,x3214,x3215))
% 149.08/148.76 [322]~E(x3221,x3222)+E(f808(x3223,x3224,x3221,x3225),f808(x3223,x3224,x3222,x3225))
% 149.08/148.76 [323]~E(x3231,x3232)+E(f808(x3233,x3234,x3235,x3231),f808(x3233,x3234,x3235,x3232))
% 149.08/148.76 [324]~E(x3241,x3242)+E(f143(x3241,x3243),f143(x3242,x3243))
% 149.08/148.76 [325]~E(x3251,x3252)+E(f143(x3253,x3251),f143(x3253,x3252))
% 149.08/148.76 [326]~E(x3261,x3262)+E(f415(x3261,x3263,x3264,x3265),f415(x3262,x3263,x3264,x3265))
% 149.08/148.76 [327]~E(x3271,x3272)+E(f415(x3273,x3271,x3274,x3275),f415(x3273,x3272,x3274,x3275))
% 149.08/148.76 [328]~E(x3281,x3282)+E(f415(x3283,x3284,x3281,x3285),f415(x3283,x3284,x3282,x3285))
% 149.08/148.76 [329]~E(x3291,x3292)+E(f415(x3293,x3294,x3295,x3291),f415(x3293,x3294,x3295,x3292))
% 149.08/148.76 [330]~E(x3301,x3302)+E(f540(x3301),f540(x3302))
% 149.08/148.76 [331]~E(x3311,x3312)+E(f765(x3311,x3313),f765(x3312,x3313))
% 149.08/148.76 [332]~E(x3321,x3322)+E(f765(x3323,x3321),f765(x3323,x3322))
% 149.08/148.76 [333]~E(x3331,x3332)+E(f524(x3331,x3333,x3334),f524(x3332,x3333,x3334))
% 149.08/148.76 [334]~E(x3341,x3342)+E(f524(x3343,x3341,x3344),f524(x3343,x3342,x3344))
% 149.08/148.76 [335]~E(x3351,x3352)+E(f524(x3353,x3354,x3351),f524(x3353,x3354,x3352))
% 149.08/148.76 [336]~E(x3361,x3362)+E(f552(x3361,x3363,x3364,x3365),f552(x3362,x3363,x3364,x3365))
% 149.08/148.76 [337]~E(x3371,x3372)+E(f552(x3373,x3371,x3374,x3375),f552(x3373,x3372,x3374,x3375))
% 149.08/148.76 [338]~E(x3381,x3382)+E(f552(x3383,x3384,x3381,x3385),f552(x3383,x3384,x3382,x3385))
% 149.08/148.76 [339]~E(x3391,x3392)+E(f552(x3393,x3394,x3395,x3391),f552(x3393,x3394,x3395,x3392))
% 149.08/148.76 [340]~E(x3401,x3402)+E(f296(x3401,x3403),f296(x3402,x3403))
% 149.08/148.76 [341]~E(x3411,x3412)+E(f296(x3413,x3411),f296(x3413,x3412))
% 149.08/148.76 [342]~E(x3421,x3422)+E(f174(x3421,x3423),f174(x3422,x3423))
% 149.08/148.76 [343]~E(x3431,x3432)+E(f174(x3433,x3431),f174(x3433,x3432))
% 149.08/148.76 [344]~E(x3441,x3442)+E(f287(x3441,x3443,x3444),f287(x3442,x3443,x3444))
% 149.08/148.76 [345]~E(x3451,x3452)+E(f287(x3453,x3451,x3454),f287(x3453,x3452,x3454))
% 149.08/148.76 [346]~E(x3461,x3462)+E(f287(x3463,x3464,x3461),f287(x3463,x3464,x3462))
% 149.08/148.76 [347]~E(x3471,x3472)+E(f153(x3471,x3473),f153(x3472,x3473))
% 149.08/148.76 [348]~E(x3481,x3482)+E(f153(x3483,x3481),f153(x3483,x3482))
% 149.08/148.76 [349]~E(x3491,x3492)+E(f317(x3491,x3493),f317(x3492,x3493))
% 149.08/148.76 [350]~E(x3501,x3502)+E(f317(x3503,x3501),f317(x3503,x3502))
% 149.08/148.76 [351]~E(x3511,x3512)+E(f315(x3511,x3513),f315(x3512,x3513))
% 149.08/148.76 [352]~E(x3521,x3522)+E(f315(x3523,x3521),f315(x3523,x3522))
% 149.08/148.76 [353]~E(x3531,x3532)+E(f319(x3531,x3533),f319(x3532,x3533))
% 149.08/148.76 [354]~E(x3541,x3542)+E(f319(x3543,x3541),f319(x3543,x3542))
% 149.08/148.76 [355]~E(x3551,x3552)+E(f40(x3551,x3553),f40(x3552,x3553))
% 149.08/148.76 [356]~E(x3561,x3562)+E(f40(x3563,x3561),f40(x3563,x3562))
% 149.08/148.76 [357]~E(x3571,x3572)+E(f18(x3571,x3573,x3574),f18(x3572,x3573,x3574))
% 149.08/148.76 [358]~E(x3581,x3582)+E(f18(x3583,x3581,x3584),f18(x3583,x3582,x3584))
% 149.08/148.76 [359]~E(x3591,x3592)+E(f18(x3593,x3594,x3591),f18(x3593,x3594,x3592))
% 149.08/148.76 [360]~E(x3601,x3602)+E(f280(x3601,x3603,x3604),f280(x3602,x3603,x3604))
% 149.08/148.76 [361]~E(x3611,x3612)+E(f280(x3613,x3611,x3614),f280(x3613,x3612,x3614))
% 149.08/148.76 [362]~E(x3621,x3622)+E(f280(x3623,x3624,x3621),f280(x3623,x3624,x3622))
% 149.08/148.76 [363]~E(x3631,x3632)+E(f628(x3631,x3633,x3634,x3635,x3636),f628(x3632,x3633,x3634,x3635,x3636))
% 149.08/148.76 [364]~E(x3641,x3642)+E(f628(x3643,x3641,x3644,x3645,x3646),f628(x3643,x3642,x3644,x3645,x3646))
% 149.08/148.76 [365]~E(x3651,x3652)+E(f628(x3653,x3654,x3651,x3655,x3656),f628(x3653,x3654,x3652,x3655,x3656))
% 149.08/148.76 [366]~E(x3661,x3662)+E(f628(x3663,x3664,x3665,x3661,x3666),f628(x3663,x3664,x3665,x3662,x3666))
% 149.08/148.76 [367]~E(x3671,x3672)+E(f628(x3673,x3674,x3675,x3676,x3671),f628(x3673,x3674,x3675,x3676,x3672))
% 149.08/148.76 [368]~E(x3681,x3682)+E(f175(x3681,x3683),f175(x3682,x3683))
% 149.08/148.76 [369]~E(x3691,x3692)+E(f175(x3693,x3691),f175(x3693,x3692))
% 149.08/148.76 [370]~E(x3701,x3702)+E(f745(x3701,x3703,x3704),f745(x3702,x3703,x3704))
% 149.08/148.76 [371]~E(x3711,x3712)+E(f745(x3713,x3711,x3714),f745(x3713,x3712,x3714))
% 149.08/148.76 [372]~E(x3721,x3722)+E(f745(x3723,x3724,x3721),f745(x3723,x3724,x3722))
% 149.08/148.76 [373]~E(x3731,x3732)+E(f96(x3731,x3733,x3734),f96(x3732,x3733,x3734))
% 149.08/148.76 [374]~E(x3741,x3742)+E(f96(x3743,x3741,x3744),f96(x3743,x3742,x3744))
% 149.08/148.76 [375]~E(x3751,x3752)+E(f96(x3753,x3754,x3751),f96(x3753,x3754,x3752))
% 149.08/148.76 [376]~E(x3761,x3762)+E(f426(x3761,x3763,x3764),f426(x3762,x3763,x3764))
% 149.08/148.76 [377]~E(x3771,x3772)+E(f426(x3773,x3771,x3774),f426(x3773,x3772,x3774))
% 149.08/148.76 [378]~E(x3781,x3782)+E(f426(x3783,x3784,x3781),f426(x3783,x3784,x3782))
% 149.08/148.76 [379]~E(x3791,x3792)+E(f424(x3791,x3793,x3794,x3795),f424(x3792,x3793,x3794,x3795))
% 149.08/148.76 [380]~E(x3801,x3802)+E(f424(x3803,x3801,x3804,x3805),f424(x3803,x3802,x3804,x3805))
% 149.08/148.76 [381]~E(x3811,x3812)+E(f424(x3813,x3814,x3811,x3815),f424(x3813,x3814,x3812,x3815))
% 149.08/148.76 [382]~E(x3821,x3822)+E(f424(x3823,x3824,x3825,x3821),f424(x3823,x3824,x3825,x3822))
% 149.08/148.76 [383]~E(x3831,x3832)+E(f279(x3831),f279(x3832))
% 149.08/148.76 [384]~E(x3841,x3842)+E(f144(x3841,x3843,x3844),f144(x3842,x3843,x3844))
% 149.08/148.76 [385]~E(x3851,x3852)+E(f144(x3853,x3851,x3854),f144(x3853,x3852,x3854))
% 149.08/148.76 [386]~E(x3861,x3862)+E(f144(x3863,x3864,x3861),f144(x3863,x3864,x3862))
% 149.08/148.76 [387]~E(x3871,x3872)+E(f122(x3871,x3873,x3874),f122(x3872,x3873,x3874))
% 149.08/148.76 [388]~E(x3881,x3882)+E(f122(x3883,x3881,x3884),f122(x3883,x3882,x3884))
% 149.08/148.76 [389]~E(x3891,x3892)+E(f122(x3893,x3894,x3891),f122(x3893,x3894,x3892))
% 149.08/148.76 [390]~E(x3901,x3902)+E(f404(x3901,x3903),f404(x3902,x3903))
% 149.08/148.76 [391]~E(x3911,x3912)+E(f404(x3913,x3911),f404(x3913,x3912))
% 149.08/148.76 [392]~E(x3921,x3922)+E(f297(x3921,x3923,x3924),f297(x3922,x3923,x3924))
% 149.08/148.76 [393]~E(x3931,x3932)+E(f297(x3933,x3931,x3934),f297(x3933,x3932,x3934))
% 149.08/148.76 [394]~E(x3941,x3942)+E(f297(x3943,x3944,x3941),f297(x3943,x3944,x3942))
% 149.08/148.76 [395]~E(x3951,x3952)+E(f146(x3951,x3953,x3954,x3955),f146(x3952,x3953,x3954,x3955))
% 149.08/148.76 [396]~E(x3961,x3962)+E(f146(x3963,x3961,x3964,x3965),f146(x3963,x3962,x3964,x3965))
% 149.08/148.76 [397]~E(x3971,x3972)+E(f146(x3973,x3974,x3971,x3975),f146(x3973,x3974,x3972,x3975))
% 149.08/148.76 [398]~E(x3981,x3982)+E(f146(x3983,x3984,x3985,x3981),f146(x3983,x3984,x3985,x3982))
% 149.08/148.76 [399]~E(x3991,x3992)+E(f33(x3991,x3993),f33(x3992,x3993))
% 149.08/148.76 [400]~E(x4001,x4002)+E(f33(x4003,x4001),f33(x4003,x4002))
% 149.08/148.76 [401]~E(x4011,x4012)+E(f86(x4011,x4013),f86(x4012,x4013))
% 149.08/148.76 [402]~E(x4021,x4022)+E(f86(x4023,x4021),f86(x4023,x4022))
% 149.08/148.76 [403]~E(x4031,x4032)+E(f53(x4031,x4033),f53(x4032,x4033))
% 149.08/148.76 [404]~E(x4041,x4042)+E(f53(x4043,x4041),f53(x4043,x4042))
% 149.08/148.76 [405]~E(x4051,x4052)+E(f91(x4051,x4053),f91(x4052,x4053))
% 149.08/148.76 [406]~E(x4061,x4062)+E(f91(x4063,x4061),f91(x4063,x4062))
% 149.08/148.76 [407]~E(x4071,x4072)+E(f73(x4071,x4073),f73(x4072,x4073))
% 149.08/148.76 [408]~E(x4081,x4082)+E(f73(x4083,x4081),f73(x4083,x4082))
% 149.08/148.76 [409]~E(x4091,x4092)+E(f149(x4091,x4093),f149(x4092,x4093))
% 149.08/148.76 [410]~E(x4101,x4102)+E(f149(x4103,x4101),f149(x4103,x4102))
% 149.08/148.76 [411]~E(x4111,x4112)+E(f171(x4111),f171(x4112))
% 149.08/148.76 [412]~E(x4121,x4122)+E(f221(x4121,x4123),f221(x4122,x4123))
% 149.08/148.76 [413]~E(x4131,x4132)+E(f221(x4133,x4131),f221(x4133,x4132))
% 149.08/148.76 [414]~E(x4141,x4142)+E(f645(x4141,x4143,x4144,x4145,x4146,x4147,x4148,x4149,x41410),f645(x4142,x4143,x4144,x4145,x4146,x4147,x4148,x4149,x41410))
% 149.08/148.76 [415]~E(x4151,x4152)+E(f645(x4153,x4151,x4154,x4155,x4156,x4157,x4158,x4159,x41510),f645(x4153,x4152,x4154,x4155,x4156,x4157,x4158,x4159,x41510))
% 149.08/148.76 [416]~E(x4161,x4162)+E(f645(x4163,x4164,x4161,x4165,x4166,x4167,x4168,x4169,x41610),f645(x4163,x4164,x4162,x4165,x4166,x4167,x4168,x4169,x41610))
% 149.08/148.76 [417]~E(x4171,x4172)+E(f645(x4173,x4174,x4175,x4171,x4176,x4177,x4178,x4179,x41710),f645(x4173,x4174,x4175,x4172,x4176,x4177,x4178,x4179,x41710))
% 149.08/148.76 [418]~E(x4181,x4182)+E(f645(x4183,x4184,x4185,x4186,x4181,x4187,x4188,x4189,x41810),f645(x4183,x4184,x4185,x4186,x4182,x4187,x4188,x4189,x41810))
% 149.08/148.76 [419]~E(x4191,x4192)+E(f645(x4193,x4194,x4195,x4196,x4197,x4191,x4198,x4199,x41910),f645(x4193,x4194,x4195,x4196,x4197,x4192,x4198,x4199,x41910))
% 149.08/148.76 [420]~E(x4201,x4202)+E(f645(x4203,x4204,x4205,x4206,x4207,x4208,x4201,x4209,x42010),f645(x4203,x4204,x4205,x4206,x4207,x4208,x4202,x4209,x42010))
% 149.08/148.76 [421]~E(x4211,x4212)+E(f645(x4213,x4214,x4215,x4216,x4217,x4218,x4219,x4211,x42110),f645(x4213,x4214,x4215,x4216,x4217,x4218,x4219,x4212,x42110))
% 149.08/148.76 [422]~E(x4221,x4222)+E(f645(x4223,x4224,x4225,x4226,x4227,x4228,x4229,x42210,x4221),f645(x4223,x4224,x4225,x4226,x4227,x4228,x4229,x42210,x4222))
% 149.08/148.76 [423]~E(x4231,x4232)+E(f243(x4231,x4233),f243(x4232,x4233))
% 149.08/148.76 [424]~E(x4241,x4242)+E(f243(x4243,x4241),f243(x4243,x4242))
% 149.08/148.76 [425]~E(x4251,x4252)+E(f34(x4251,x4253),f34(x4252,x4253))
% 149.08/148.76 [426]~E(x4261,x4262)+E(f34(x4263,x4261),f34(x4263,x4262))
% 149.08/148.76 [427]~E(x4271,x4272)+E(f455(x4271,x4273,x4274,x4275),f455(x4272,x4273,x4274,x4275))
% 149.08/148.76 [428]~E(x4281,x4282)+E(f455(x4283,x4281,x4284,x4285),f455(x4283,x4282,x4284,x4285))
% 149.08/148.76 [429]~E(x4291,x4292)+E(f455(x4293,x4294,x4291,x4295),f455(x4293,x4294,x4292,x4295))
% 149.08/148.76 [430]~E(x4301,x4302)+E(f455(x4303,x4304,x4305,x4301),f455(x4303,x4304,x4305,x4302))
% 149.08/148.76 [431]~E(x4311,x4312)+E(f300(x4311,x4313,x4314),f300(x4312,x4313,x4314))
% 149.08/148.76 [432]~E(x4321,x4322)+E(f300(x4323,x4321,x4324),f300(x4323,x4322,x4324))
% 149.08/148.76 [433]~E(x4331,x4332)+E(f300(x4333,x4334,x4331),f300(x4333,x4334,x4332))
% 149.08/148.76 [434]~E(x4341,x4342)+E(f357(x4341,x4343,x4344,x4345,x4346),f357(x4342,x4343,x4344,x4345,x4346))
% 149.08/148.76 [435]~E(x4351,x4352)+E(f357(x4353,x4351,x4354,x4355,x4356),f357(x4353,x4352,x4354,x4355,x4356))
% 149.08/148.76 [436]~E(x4361,x4362)+E(f357(x4363,x4364,x4361,x4365,x4366),f357(x4363,x4364,x4362,x4365,x4366))
% 149.08/148.76 [437]~E(x4371,x4372)+E(f357(x4373,x4374,x4375,x4371,x4376),f357(x4373,x4374,x4375,x4372,x4376))
% 149.08/148.76 [438]~E(x4381,x4382)+E(f357(x4383,x4384,x4385,x4386,x4381),f357(x4383,x4384,x4385,x4386,x4382))
% 149.08/148.76 [439]~E(x4391,x4392)+E(f364(x4391,x4393,x4394,x4395,x4396,x4397),f364(x4392,x4393,x4394,x4395,x4396,x4397))
% 149.08/148.76 [440]~E(x4401,x4402)+E(f364(x4403,x4401,x4404,x4405,x4406,x4407),f364(x4403,x4402,x4404,x4405,x4406,x4407))
% 149.08/148.76 [441]~E(x4411,x4412)+E(f364(x4413,x4414,x4411,x4415,x4416,x4417),f364(x4413,x4414,x4412,x4415,x4416,x4417))
% 149.08/148.76 [442]~E(x4421,x4422)+E(f364(x4423,x4424,x4425,x4421,x4426,x4427),f364(x4423,x4424,x4425,x4422,x4426,x4427))
% 149.08/148.76 [443]~E(x4431,x4432)+E(f364(x4433,x4434,x4435,x4436,x4431,x4437),f364(x4433,x4434,x4435,x4436,x4432,x4437))
% 149.08/148.76 [444]~E(x4441,x4442)+E(f364(x4443,x4444,x4445,x4446,x4447,x4441),f364(x4443,x4444,x4445,x4446,x4447,x4442))
% 149.08/148.76 [445]~E(x4451,x4452)+E(f810(x4451,x4453,x4454,x4455),f810(x4452,x4453,x4454,x4455))
% 149.08/148.76 [446]~E(x4461,x4462)+E(f810(x4463,x4461,x4464,x4465),f810(x4463,x4462,x4464,x4465))
% 149.08/148.76 [447]~E(x4471,x4472)+E(f810(x4473,x4474,x4471,x4475),f810(x4473,x4474,x4472,x4475))
% 149.08/148.76 [448]~E(x4481,x4482)+E(f810(x4483,x4484,x4485,x4481),f810(x4483,x4484,x4485,x4482))
% 149.08/148.76 [449]~E(x4491,x4492)+E(f441(x4491,x4493,x4494,x4495,x4496,x4497),f441(x4492,x4493,x4494,x4495,x4496,x4497))
% 149.08/148.76 [450]~E(x4501,x4502)+E(f441(x4503,x4501,x4504,x4505,x4506,x4507),f441(x4503,x4502,x4504,x4505,x4506,x4507))
% 149.08/148.76 [451]~E(x4511,x4512)+E(f441(x4513,x4514,x4511,x4515,x4516,x4517),f441(x4513,x4514,x4512,x4515,x4516,x4517))
% 149.08/148.76 [452]~E(x4521,x4522)+E(f441(x4523,x4524,x4525,x4521,x4526,x4527),f441(x4523,x4524,x4525,x4522,x4526,x4527))
% 149.08/148.76 [453]~E(x4531,x4532)+E(f441(x4533,x4534,x4535,x4536,x4531,x4537),f441(x4533,x4534,x4535,x4536,x4532,x4537))
% 149.08/148.76 [454]~E(x4541,x4542)+E(f441(x4543,x4544,x4545,x4546,x4547,x4541),f441(x4543,x4544,x4545,x4546,x4547,x4542))
% 149.08/148.76 [455]~E(x4551,x4552)+E(f140(x4551,x4553),f140(x4552,x4553))
% 149.08/148.76 [456]~E(x4561,x4562)+E(f140(x4563,x4561),f140(x4563,x4562))
% 149.08/148.76 [457]~E(x4571,x4572)+E(f114(x4571),f114(x4572))
% 149.08/148.76 [458]~E(x4581,x4582)+E(f256(x4581,x4583,x4584),f256(x4582,x4583,x4584))
% 149.08/148.76 [459]~E(x4591,x4592)+E(f256(x4593,x4591,x4594),f256(x4593,x4592,x4594))
% 149.08/148.76 [460]~E(x4601,x4602)+E(f256(x4603,x4604,x4601),f256(x4603,x4604,x4602))
% 149.08/148.76 [461]~E(x4611,x4612)+E(f250(x4611,x4613,x4614),f250(x4612,x4613,x4614))
% 149.08/148.76 [462]~E(x4621,x4622)+E(f250(x4623,x4621,x4624),f250(x4623,x4622,x4624))
% 149.08/148.76 [463]~E(x4631,x4632)+E(f250(x4633,x4634,x4631),f250(x4633,x4634,x4632))
% 149.08/148.76 [464]~E(x4641,x4642)+E(f265(x4641,x4643,x4644),f265(x4642,x4643,x4644))
% 149.08/148.76 [465]~E(x4651,x4652)+E(f265(x4653,x4651,x4654),f265(x4653,x4652,x4654))
% 149.08/148.76 [466]~E(x4661,x4662)+E(f265(x4663,x4664,x4661),f265(x4663,x4664,x4662))
% 149.08/148.76 [467]~E(x4671,x4672)+E(f64(x4671,x4673),f64(x4672,x4673))
% 149.08/148.76 [468]~E(x4681,x4682)+E(f64(x4683,x4681),f64(x4683,x4682))
% 149.08/148.76 [469]~E(x4691,x4692)+E(f459(x4691,x4693,x4694),f459(x4692,x4693,x4694))
% 149.08/148.76 [470]~E(x4701,x4702)+E(f459(x4703,x4701,x4704),f459(x4703,x4702,x4704))
% 149.08/148.76 [471]~E(x4711,x4712)+E(f459(x4713,x4714,x4711),f459(x4713,x4714,x4712))
% 149.08/148.76 [472]~E(x4721,x4722)+E(f669(x4721,x4723,x4724,x4725),f669(x4722,x4723,x4724,x4725))
% 149.08/148.76 [473]~E(x4731,x4732)+E(f669(x4733,x4731,x4734,x4735),f669(x4733,x4732,x4734,x4735))
% 149.08/148.76 [474]~E(x4741,x4742)+E(f669(x4743,x4744,x4741,x4745),f669(x4743,x4744,x4742,x4745))
% 149.08/148.76 [475]~E(x4751,x4752)+E(f669(x4753,x4754,x4755,x4751),f669(x4753,x4754,x4755,x4752))
% 149.08/148.76 [476]~E(x4761,x4762)+E(f488(x4761,x4763,x4764),f488(x4762,x4763,x4764))
% 149.08/148.76 [477]~E(x4771,x4772)+E(f488(x4773,x4771,x4774),f488(x4773,x4772,x4774))
% 149.08/148.76 [478]~E(x4781,x4782)+E(f488(x4783,x4784,x4781),f488(x4783,x4784,x4782))
% 149.08/148.76 [479]~E(x4791,x4792)+E(f735(x4791,x4793,x4794),f735(x4792,x4793,x4794))
% 149.08/148.76 [480]~E(x4801,x4802)+E(f735(x4803,x4801,x4804),f735(x4803,x4802,x4804))
% 149.08/148.76 [481]~E(x4811,x4812)+E(f735(x4813,x4814,x4811),f735(x4813,x4814,x4812))
% 149.08/148.76 [482]~E(x4821,x4822)+E(f461(x4821,x4823,x4824),f461(x4822,x4823,x4824))
% 149.08/148.76 [483]~E(x4831,x4832)+E(f461(x4833,x4831,x4834),f461(x4833,x4832,x4834))
% 149.08/148.76 [484]~E(x4841,x4842)+E(f461(x4843,x4844,x4841),f461(x4843,x4844,x4842))
% 149.08/148.76 [485]~E(x4851,x4852)+E(f258(x4851,x4853),f258(x4852,x4853))
% 149.08/148.76 [486]~E(x4861,x4862)+E(f258(x4863,x4861),f258(x4863,x4862))
% 149.08/148.76 [487]~E(x4871,x4872)+E(f232(x4871,x4873),f232(x4872,x4873))
% 149.08/148.76 [488]~E(x4881,x4882)+E(f232(x4883,x4881),f232(x4883,x4882))
% 149.08/148.76 [489]~E(x4891,x4892)+E(f367(x4891,x4893,x4894,x4895,x4896,x4897,x4898),f367(x4892,x4893,x4894,x4895,x4896,x4897,x4898))
% 149.08/148.76 [490]~E(x4901,x4902)+E(f367(x4903,x4901,x4904,x4905,x4906,x4907,x4908),f367(x4903,x4902,x4904,x4905,x4906,x4907,x4908))
% 149.08/148.76 [491]~E(x4911,x4912)+E(f367(x4913,x4914,x4911,x4915,x4916,x4917,x4918),f367(x4913,x4914,x4912,x4915,x4916,x4917,x4918))
% 149.08/148.76 [492]~E(x4921,x4922)+E(f367(x4923,x4924,x4925,x4921,x4926,x4927,x4928),f367(x4923,x4924,x4925,x4922,x4926,x4927,x4928))
% 149.08/148.76 [493]~E(x4931,x4932)+E(f367(x4933,x4934,x4935,x4936,x4931,x4937,x4938),f367(x4933,x4934,x4935,x4936,x4932,x4937,x4938))
% 149.08/148.76 [494]~E(x4941,x4942)+E(f367(x4943,x4944,x4945,x4946,x4947,x4941,x4948),f367(x4943,x4944,x4945,x4946,x4947,x4942,x4948))
% 149.08/148.76 [495]~E(x4951,x4952)+E(f367(x4953,x4954,x4955,x4956,x4957,x4958,x4951),f367(x4953,x4954,x4955,x4956,x4957,x4958,x4952))
% 149.08/148.76 [496]~E(x4961,x4962)+E(f480(x4961,x4963,x4964),f480(x4962,x4963,x4964))
% 149.08/148.76 [497]~E(x4971,x4972)+E(f480(x4973,x4971,x4974),f480(x4973,x4972,x4974))
% 149.08/148.76 [498]~E(x4981,x4982)+E(f480(x4983,x4984,x4981),f480(x4983,x4984,x4982))
% 149.08/148.76 [499]~E(x4991,x4992)+E(f93(x4991),f93(x4992))
% 149.08/148.76 [500]~E(x5001,x5002)+E(f47(x5001,x5003),f47(x5002,x5003))
% 149.08/148.76 [501]~E(x5011,x5012)+E(f47(x5013,x5011),f47(x5013,x5012))
% 149.08/148.76 [502]~E(x5021,x5022)+E(f644(x5021,x5023),f644(x5022,x5023))
% 149.08/148.76 [503]~E(x5031,x5032)+E(f644(x5033,x5031),f644(x5033,x5032))
% 149.08/148.76 [504]~E(x5041,x5042)+E(f301(x5041),f301(x5042))
% 149.08/148.76 [505]~E(x5051,x5052)+E(f188(x5051),f188(x5052))
% 149.08/148.76 [506]~E(x5061,x5062)+E(f733(x5061,x5063,x5064,x5065),f733(x5062,x5063,x5064,x5065))
% 149.08/148.76 [507]~E(x5071,x5072)+E(f733(x5073,x5071,x5074,x5075),f733(x5073,x5072,x5074,x5075))
% 149.08/148.76 [508]~E(x5081,x5082)+E(f733(x5083,x5084,x5081,x5085),f733(x5083,x5084,x5082,x5085))
% 149.08/148.76 [509]~E(x5091,x5092)+E(f733(x5093,x5094,x5095,x5091),f733(x5093,x5094,x5095,x5092))
% 149.08/148.76 [510]~E(x5101,x5102)+E(f533(x5101,x5103,x5104,x5105,x5106),f533(x5102,x5103,x5104,x5105,x5106))
% 149.08/148.76 [511]~E(x5111,x5112)+E(f533(x5113,x5111,x5114,x5115,x5116),f533(x5113,x5112,x5114,x5115,x5116))
% 149.08/148.76 [512]~E(x5121,x5122)+E(f533(x5123,x5124,x5121,x5125,x5126),f533(x5123,x5124,x5122,x5125,x5126))
% 149.08/148.76 [513]~E(x5131,x5132)+E(f533(x5133,x5134,x5135,x5131,x5136),f533(x5133,x5134,x5135,x5132,x5136))
% 149.08/148.76 [514]~E(x5141,x5142)+E(f533(x5143,x5144,x5145,x5146,x5141),f533(x5143,x5144,x5145,x5146,x5142))
% 149.08/148.76 [515]~E(x5151,x5152)+E(f9(x5151,x5153),f9(x5152,x5153))
% 149.08/148.76 [516]~E(x5161,x5162)+E(f9(x5163,x5161),f9(x5163,x5162))
% 149.08/148.76 [517]~E(x5171,x5172)+E(f834(x5171,x5173,x5174,x5175,x5176),f834(x5172,x5173,x5174,x5175,x5176))
% 149.08/148.76 [518]~E(x5181,x5182)+E(f834(x5183,x5181,x5184,x5185,x5186),f834(x5183,x5182,x5184,x5185,x5186))
% 149.08/148.76 [519]~E(x5191,x5192)+E(f834(x5193,x5194,x5191,x5195,x5196),f834(x5193,x5194,x5192,x5195,x5196))
% 149.08/148.76 [520]~E(x5201,x5202)+E(f834(x5203,x5204,x5205,x5201,x5206),f834(x5203,x5204,x5205,x5202,x5206))
% 149.08/148.76 [521]~E(x5211,x5212)+E(f834(x5213,x5214,x5215,x5216,x5211),f834(x5213,x5214,x5215,x5216,x5212))
% 149.08/148.76 [522]~E(x5221,x5222)+E(f854(x5221,x5223,x5224),f854(x5222,x5223,x5224))
% 149.08/148.76 [523]~E(x5231,x5232)+E(f854(x5233,x5231,x5234),f854(x5233,x5232,x5234))
% 149.08/148.76 [524]~E(x5241,x5242)+E(f854(x5243,x5244,x5241),f854(x5243,x5244,x5242))
% 149.08/148.76 [525]~E(x5251,x5252)+E(f247(x5251),f247(x5252))
% 149.08/148.76 [526]~E(x5261,x5262)+E(f313(x5261,x5263,x5264,x5265),f313(x5262,x5263,x5264,x5265))
% 149.08/148.76 [527]~E(x5271,x5272)+E(f313(x5273,x5271,x5274,x5275),f313(x5273,x5272,x5274,x5275))
% 149.08/148.76 [528]~E(x5281,x5282)+E(f313(x5283,x5284,x5281,x5285),f313(x5283,x5284,x5282,x5285))
% 149.08/148.76 [529]~E(x5291,x5292)+E(f313(x5293,x5294,x5295,x5291),f313(x5293,x5294,x5295,x5292))
% 149.08/148.76 [530]~E(x5301,x5302)+E(f572(x5301,x5303),f572(x5302,x5303))
% 149.08/148.76 [531]~E(x5311,x5312)+E(f572(x5313,x5311),f572(x5313,x5312))
% 149.08/148.76 [532]~E(x5321,x5322)+E(f393(x5321,x5323,x5324),f393(x5322,x5323,x5324))
% 149.08/148.76 [533]~E(x5331,x5332)+E(f393(x5333,x5331,x5334),f393(x5333,x5332,x5334))
% 149.08/148.76 [534]~E(x5341,x5342)+E(f393(x5343,x5344,x5341),f393(x5343,x5344,x5342))
% 149.08/148.76 [535]~E(x5351,x5352)+E(f186(x5351,x5353,x5354),f186(x5352,x5353,x5354))
% 149.08/148.76 [536]~E(x5361,x5362)+E(f186(x5363,x5361,x5364),f186(x5363,x5362,x5364))
% 149.08/148.76 [537]~E(x5371,x5372)+E(f186(x5373,x5374,x5371),f186(x5373,x5374,x5372))
% 149.08/148.76 [538]~E(x5381,x5382)+E(f248(x5381),f248(x5382))
% 149.08/148.76 [539]~E(x5391,x5392)+E(f259(x5391,x5393),f259(x5392,x5393))
% 149.08/148.76 [540]~E(x5401,x5402)+E(f259(x5403,x5401),f259(x5403,x5402))
% 149.08/148.76 [541]~E(x5411,x5412)+E(f419(x5411,x5413),f419(x5412,x5413))
% 149.08/148.76 [542]~E(x5421,x5422)+E(f419(x5423,x5421),f419(x5423,x5422))
% 149.08/148.76 [543]~E(x5431,x5432)+E(f468(x5431,x5433),f468(x5432,x5433))
% 149.08/148.76 [544]~E(x5441,x5442)+E(f468(x5443,x5441),f468(x5443,x5442))
% 149.08/148.76 [545]~E(x5451,x5452)+E(f502(x5451,x5453,x5454),f502(x5452,x5453,x5454))
% 149.08/148.76 [546]~E(x5461,x5462)+E(f502(x5463,x5461,x5464),f502(x5463,x5462,x5464))
% 149.08/148.76 [547]~E(x5471,x5472)+E(f502(x5473,x5474,x5471),f502(x5473,x5474,x5472))
% 149.08/148.76 [548]~E(x5481,x5482)+E(f460(x5481,x5483,x5484),f460(x5482,x5483,x5484))
% 149.08/148.76 [549]~E(x5491,x5492)+E(f460(x5493,x5491,x5494),f460(x5493,x5492,x5494))
% 149.08/148.76 [550]~E(x5501,x5502)+E(f460(x5503,x5504,x5501),f460(x5503,x5504,x5502))
% 149.08/148.76 [551]~E(x5511,x5512)+E(f844(x5511,x5513,x5514,x5515,x5516),f844(x5512,x5513,x5514,x5515,x5516))
% 149.08/148.76 [552]~E(x5521,x5522)+E(f844(x5523,x5521,x5524,x5525,x5526),f844(x5523,x5522,x5524,x5525,x5526))
% 149.08/148.76 [553]~E(x5531,x5532)+E(f844(x5533,x5534,x5531,x5535,x5536),f844(x5533,x5534,x5532,x5535,x5536))
% 149.08/148.76 [554]~E(x5541,x5542)+E(f844(x5543,x5544,x5545,x5541,x5546),f844(x5543,x5544,x5545,x5542,x5546))
% 149.08/148.76 [555]~E(x5551,x5552)+E(f844(x5553,x5554,x5555,x5556,x5551),f844(x5553,x5554,x5555,x5556,x5552))
% 149.08/148.76 [556]~E(x5561,x5562)+E(f342(x5561,x5563,x5564,x5565,x5566),f342(x5562,x5563,x5564,x5565,x5566))
% 149.08/148.76 [557]~E(x5571,x5572)+E(f342(x5573,x5571,x5574,x5575,x5576),f342(x5573,x5572,x5574,x5575,x5576))
% 149.08/148.76 [558]~E(x5581,x5582)+E(f342(x5583,x5584,x5581,x5585,x5586),f342(x5583,x5584,x5582,x5585,x5586))
% 149.08/148.76 [559]~E(x5591,x5592)+E(f342(x5593,x5594,x5595,x5591,x5596),f342(x5593,x5594,x5595,x5592,x5596))
% 149.08/148.76 [560]~E(x5601,x5602)+E(f342(x5603,x5604,x5605,x5606,x5601),f342(x5603,x5604,x5605,x5606,x5602))
% 149.08/148.76 [561]~E(x5611,x5612)+E(f89(x5611),f89(x5612))
% 149.08/148.76 [562]~E(x5621,x5622)+E(f88(x5621),f88(x5622))
% 149.08/148.76 [563]~E(x5631,x5632)+E(f453(x5631,x5633,x5634),f453(x5632,x5633,x5634))
% 149.08/148.76 [564]~E(x5641,x5642)+E(f453(x5643,x5641,x5644),f453(x5643,x5642,x5644))
% 149.08/148.76 [565]~E(x5651,x5652)+E(f453(x5653,x5654,x5651),f453(x5653,x5654,x5652))
% 149.08/148.76 [566]~E(x5661,x5662)+E(f495(x5661,x5663,x5664),f495(x5662,x5663,x5664))
% 149.08/148.76 [567]~E(x5671,x5672)+E(f495(x5673,x5671,x5674),f495(x5673,x5672,x5674))
% 149.08/148.76 [568]~E(x5681,x5682)+E(f495(x5683,x5684,x5681),f495(x5683,x5684,x5682))
% 149.08/148.76 [569]~E(x5691,x5692)+E(f347(x5691),f347(x5692))
% 149.08/148.76 [570]~E(x5701,x5702)+E(f780(x5701,x5703),f780(x5702,x5703))
% 149.08/148.76 [571]~E(x5711,x5712)+E(f780(x5713,x5711),f780(x5713,x5712))
% 149.08/148.76 [572]~E(x5721,x5722)+E(f282(x5721,x5723),f282(x5722,x5723))
% 149.08/148.76 [573]~E(x5731,x5732)+E(f282(x5733,x5731),f282(x5733,x5732))
% 149.08/148.76 [574]~E(x5741,x5742)+E(f141(x5741,x5743),f141(x5742,x5743))
% 149.08/148.76 [575]~E(x5751,x5752)+E(f141(x5753,x5751),f141(x5753,x5752))
% 149.08/148.76 [576]~E(x5761,x5762)+E(f320(x5761,x5763,x5764),f320(x5762,x5763,x5764))
% 149.08/148.76 [577]~E(x5771,x5772)+E(f320(x5773,x5771,x5774),f320(x5773,x5772,x5774))
% 149.08/148.76 [578]~E(x5781,x5782)+E(f320(x5783,x5784,x5781),f320(x5783,x5784,x5782))
% 149.08/148.76 [579]~E(x5791,x5792)+E(f462(x5791,x5793,x5794),f462(x5792,x5793,x5794))
% 149.08/148.76 [580]~E(x5801,x5802)+E(f462(x5803,x5801,x5804),f462(x5803,x5802,x5804))
% 149.08/148.76 [581]~E(x5811,x5812)+E(f462(x5813,x5814,x5811),f462(x5813,x5814,x5812))
% 149.08/148.76 [582]~E(x5821,x5822)+E(f641(x5821,x5823,x5824),f641(x5822,x5823,x5824))
% 149.08/148.76 [583]~E(x5831,x5832)+E(f641(x5833,x5831,x5834),f641(x5833,x5832,x5834))
% 149.08/148.76 [584]~E(x5841,x5842)+E(f641(x5843,x5844,x5841),f641(x5843,x5844,x5842))
% 149.08/148.76 [585]~E(x5851,x5852)+E(f498(x5851,x5853,x5854),f498(x5852,x5853,x5854))
% 149.08/148.76 [586]~E(x5861,x5862)+E(f498(x5863,x5861,x5864),f498(x5863,x5862,x5864))
% 149.08/148.76 [587]~E(x5871,x5872)+E(f498(x5873,x5874,x5871),f498(x5873,x5874,x5872))
% 149.08/148.76 [588]~E(x5881,x5882)+E(f852(x5881,x5883,x5884),f852(x5882,x5883,x5884))
% 149.08/148.76 [589]~E(x5891,x5892)+E(f852(x5893,x5891,x5894),f852(x5893,x5892,x5894))
% 149.08/148.76 [590]~E(x5901,x5902)+E(f852(x5903,x5904,x5901),f852(x5903,x5904,x5902))
% 149.08/148.76 [591]~E(x5911,x5912)+E(f448(x5911,x5913,x5914),f448(x5912,x5913,x5914))
% 149.08/148.76 [592]~E(x5921,x5922)+E(f448(x5923,x5921,x5924),f448(x5923,x5922,x5924))
% 149.08/148.76 [593]~E(x5931,x5932)+E(f448(x5933,x5934,x5931),f448(x5933,x5934,x5932))
% 149.08/148.76 [594]~E(x5941,x5942)+E(f198(x5941,x5943),f198(x5942,x5943))
% 149.08/148.76 [595]~E(x5951,x5952)+E(f198(x5953,x5951),f198(x5953,x5952))
% 149.08/148.76 [596]~E(x5961,x5962)+E(f835(x5961),f835(x5962))
% 149.08/148.76 [597]~E(x5971,x5972)+E(f134(x5971),f134(x5972))
% 149.08/148.76 [598]~E(x5981,x5982)+E(f87(x5981,x5983),f87(x5982,x5983))
% 149.08/148.76 [599]~E(x5991,x5992)+E(f87(x5993,x5991),f87(x5993,x5992))
% 149.08/148.76 [600]~E(x6001,x6002)+E(f94(x6001,x6003,x6004),f94(x6002,x6003,x6004))
% 149.08/148.76 [601]~E(x6011,x6012)+E(f94(x6013,x6011,x6014),f94(x6013,x6012,x6014))
% 149.08/148.76 [602]~E(x6021,x6022)+E(f94(x6023,x6024,x6021),f94(x6023,x6024,x6022))
% 149.08/148.76 [603]~E(x6031,x6032)+E(f847(x6031,x6033,x6034),f847(x6032,x6033,x6034))
% 149.08/148.76 [604]~E(x6041,x6042)+E(f847(x6043,x6041,x6044),f847(x6043,x6042,x6044))
% 149.08/148.76 [605]~E(x6051,x6052)+E(f847(x6053,x6054,x6051),f847(x6053,x6054,x6052))
% 149.08/148.76 [606]~E(x6061,x6062)+E(f371(x6061,x6063),f371(x6062,x6063))
% 149.08/148.76 [607]~E(x6071,x6072)+E(f371(x6073,x6071),f371(x6073,x6072))
% 149.08/148.76 [608]~E(x6081,x6082)+E(f434(x6081,x6083,x6084),f434(x6082,x6083,x6084))
% 149.08/148.76 [609]~E(x6091,x6092)+E(f434(x6093,x6091,x6094),f434(x6093,x6092,x6094))
% 149.08/148.76 [610]~E(x6101,x6102)+E(f434(x6103,x6104,x6101),f434(x6103,x6104,x6102))
% 149.08/148.76 [611]~E(x6111,x6112)+E(f736(x6111,x6113),f736(x6112,x6113))
% 149.08/148.76 [612]~E(x6121,x6122)+E(f736(x6123,x6121),f736(x6123,x6122))
% 149.08/148.76 [613]~E(x6131,x6132)+E(f60(x6131,x6133,x6134,x6135),f60(x6132,x6133,x6134,x6135))
% 149.08/148.76 [614]~E(x6141,x6142)+E(f60(x6143,x6141,x6144,x6145),f60(x6143,x6142,x6144,x6145))
% 149.08/148.76 [615]~E(x6151,x6152)+E(f60(x6153,x6154,x6151,x6155),f60(x6153,x6154,x6152,x6155))
% 149.08/148.76 [616]~E(x6161,x6162)+E(f60(x6163,x6164,x6165,x6161),f60(x6163,x6164,x6165,x6162))
% 149.08/148.76 [617]~E(x6171,x6172)+E(f584(x6171,x6173,x6174,x6175,x6176),f584(x6172,x6173,x6174,x6175,x6176))
% 149.08/148.76 [618]~E(x6181,x6182)+E(f584(x6183,x6181,x6184,x6185,x6186),f584(x6183,x6182,x6184,x6185,x6186))
% 149.08/148.76 [619]~E(x6191,x6192)+E(f584(x6193,x6194,x6191,x6195,x6196),f584(x6193,x6194,x6192,x6195,x6196))
% 149.08/148.76 [620]~E(x6201,x6202)+E(f584(x6203,x6204,x6205,x6201,x6206),f584(x6203,x6204,x6205,x6202,x6206))
% 149.08/148.76 [621]~E(x6211,x6212)+E(f584(x6213,x6214,x6215,x6216,x6211),f584(x6213,x6214,x6215,x6216,x6212))
% 149.08/148.76 [622]~E(x6221,x6222)+E(f142(x6221,x6223),f142(x6222,x6223))
% 149.08/148.76 [623]~E(x6231,x6232)+E(f142(x6233,x6231),f142(x6233,x6232))
% 149.08/148.76 [624]~E(x6241,x6242)+E(f30(x6241,x6243,x6244),f30(x6242,x6243,x6244))
% 149.08/148.76 [625]~E(x6251,x6252)+E(f30(x6253,x6251,x6254),f30(x6253,x6252,x6254))
% 149.08/148.76 [626]~E(x6261,x6262)+E(f30(x6263,x6264,x6261),f30(x6263,x6264,x6262))
% 149.08/148.76 [627]~E(x6271,x6272)+E(f811(x6271,x6273,x6274,x6275,x6276),f811(x6272,x6273,x6274,x6275,x6276))
% 149.08/148.76 [628]~E(x6281,x6282)+E(f811(x6283,x6281,x6284,x6285,x6286),f811(x6283,x6282,x6284,x6285,x6286))
% 149.08/148.76 [629]~E(x6291,x6292)+E(f811(x6293,x6294,x6291,x6295,x6296),f811(x6293,x6294,x6292,x6295,x6296))
% 149.08/148.76 [630]~E(x6301,x6302)+E(f811(x6303,x6304,x6305,x6301,x6306),f811(x6303,x6304,x6305,x6302,x6306))
% 149.08/148.76 [631]~E(x6311,x6312)+E(f811(x6313,x6314,x6315,x6316,x6311),f811(x6313,x6314,x6315,x6316,x6312))
% 149.08/148.76 [632]~E(x6321,x6322)+E(f410(x6321,x6323,x6324,x6325),f410(x6322,x6323,x6324,x6325))
% 149.08/148.76 [633]~E(x6331,x6332)+E(f410(x6333,x6331,x6334,x6335),f410(x6333,x6332,x6334,x6335))
% 149.08/148.76 [634]~E(x6341,x6342)+E(f410(x6343,x6344,x6341,x6345),f410(x6343,x6344,x6342,x6345))
% 149.08/148.76 [635]~E(x6351,x6352)+E(f410(x6353,x6354,x6355,x6351),f410(x6353,x6354,x6355,x6352))
% 149.08/148.76 [636]~E(x6361,x6362)+E(f170(x6361,x6363,x6364),f170(x6362,x6363,x6364))
% 149.08/148.76 [637]~E(x6371,x6372)+E(f170(x6373,x6371,x6374),f170(x6373,x6372,x6374))
% 149.08/148.76 [638]~E(x6381,x6382)+E(f170(x6383,x6384,x6381),f170(x6383,x6384,x6382))
% 149.08/148.76 [639]~E(x6391,x6392)+E(f801(x6391,x6393,x6394),f801(x6392,x6393,x6394))
% 149.08/148.76 [640]~E(x6401,x6402)+E(f801(x6403,x6401,x6404),f801(x6403,x6402,x6404))
% 149.08/148.76 [641]~E(x6411,x6412)+E(f801(x6413,x6414,x6411),f801(x6413,x6414,x6412))
% 149.08/148.76 [642]~E(x6421,x6422)+E(f659(x6421,x6423,x6424,x6425,x6426),f659(x6422,x6423,x6424,x6425,x6426))
% 149.08/148.76 [643]~E(x6431,x6432)+E(f659(x6433,x6431,x6434,x6435,x6436),f659(x6433,x6432,x6434,x6435,x6436))
% 149.08/148.76 [644]~E(x6441,x6442)+E(f659(x6443,x6444,x6441,x6445,x6446),f659(x6443,x6444,x6442,x6445,x6446))
% 149.08/148.76 [645]~E(x6451,x6452)+E(f659(x6453,x6454,x6455,x6451,x6456),f659(x6453,x6454,x6455,x6452,x6456))
% 149.08/148.76 [646]~E(x6461,x6462)+E(f659(x6463,x6464,x6465,x6466,x6461),f659(x6463,x6464,x6465,x6466,x6462))
% 149.08/148.76 [647]~E(x6471,x6472)+E(f257(x6471,x6473),f257(x6472,x6473))
% 149.08/148.76 [648]~E(x6481,x6482)+E(f257(x6483,x6481),f257(x6483,x6482))
% 149.08/148.76 [649]~E(x6491,x6492)+E(f438(x6491,x6493),f438(x6492,x6493))
% 149.08/148.76 [650]~E(x6501,x6502)+E(f438(x6503,x6501),f438(x6503,x6502))
% 149.08/148.76 [651]~E(x6511,x6512)+E(f270(x6511,x6513),f270(x6512,x6513))
% 149.08/148.76 [652]~E(x6521,x6522)+E(f270(x6523,x6521),f270(x6523,x6522))
% 149.08/148.76 [653]~E(x6531,x6532)+E(f626(x6531,x6533,x6534,x6535),f626(x6532,x6533,x6534,x6535))
% 149.08/148.76 [654]~E(x6541,x6542)+E(f626(x6543,x6541,x6544,x6545),f626(x6543,x6542,x6544,x6545))
% 149.08/148.76 [655]~E(x6551,x6552)+E(f626(x6553,x6554,x6551,x6555),f626(x6553,x6554,x6552,x6555))
% 149.08/148.76 [656]~E(x6561,x6562)+E(f626(x6563,x6564,x6565,x6561),f626(x6563,x6564,x6565,x6562))
% 149.08/148.76 [657]~E(x6571,x6572)+E(f209(x6571),f209(x6572))
% 149.08/148.76 [658]~E(x6581,x6582)+E(f523(x6581,x6583,x6584),f523(x6582,x6583,x6584))
% 149.08/148.76 [659]~E(x6591,x6592)+E(f523(x6593,x6591,x6594),f523(x6593,x6592,x6594))
% 149.08/148.76 [660]~E(x6601,x6602)+E(f523(x6603,x6604,x6601),f523(x6603,x6604,x6602))
% 149.08/148.76 [661]~E(x6611,x6612)+E(f187(x6611,x6613,x6614,x6615),f187(x6612,x6613,x6614,x6615))
% 149.08/148.76 [662]~E(x6621,x6622)+E(f187(x6623,x6621,x6624,x6625),f187(x6623,x6622,x6624,x6625))
% 149.08/148.76 [663]~E(x6631,x6632)+E(f187(x6633,x6634,x6631,x6635),f187(x6633,x6634,x6632,x6635))
% 149.08/148.76 [664]~E(x6641,x6642)+E(f187(x6643,x6644,x6645,x6641),f187(x6643,x6644,x6645,x6642))
% 149.08/148.76 [665]~E(x6651,x6652)+E(f720(x6651,x6653,x6654),f720(x6652,x6653,x6654))
% 149.08/148.76 [666]~E(x6661,x6662)+E(f720(x6663,x6661,x6664),f720(x6663,x6662,x6664))
% 149.08/148.76 [667]~E(x6671,x6672)+E(f720(x6673,x6674,x6671),f720(x6673,x6674,x6672))
% 149.08/148.76 [668]~E(x6681,x6682)+E(f303(x6681),f303(x6682))
% 149.08/148.76 [669]~E(x6691,x6692)+E(f262(x6691,x6693,x6694,x6695,x6696),f262(x6692,x6693,x6694,x6695,x6696))
% 149.08/148.76 [670]~E(x6701,x6702)+E(f262(x6703,x6701,x6704,x6705,x6706),f262(x6703,x6702,x6704,x6705,x6706))
% 149.08/148.76 [671]~E(x6711,x6712)+E(f262(x6713,x6714,x6711,x6715,x6716),f262(x6713,x6714,x6712,x6715,x6716))
% 149.08/148.76 [672]~E(x6721,x6722)+E(f262(x6723,x6724,x6725,x6721,x6726),f262(x6723,x6724,x6725,x6722,x6726))
% 149.08/148.76 [673]~E(x6731,x6732)+E(f262(x6733,x6734,x6735,x6736,x6731),f262(x6733,x6734,x6735,x6736,x6732))
% 149.08/148.76 [674]~E(x6741,x6742)+E(f380(x6741,x6743,x6744,x6745),f380(x6742,x6743,x6744,x6745))
% 149.08/148.76 [675]~E(x6751,x6752)+E(f380(x6753,x6751,x6754,x6755),f380(x6753,x6752,x6754,x6755))
% 149.08/148.76 [676]~E(x6761,x6762)+E(f380(x6763,x6764,x6761,x6765),f380(x6763,x6764,x6762,x6765))
% 149.08/148.76 [677]~E(x6771,x6772)+E(f380(x6773,x6774,x6775,x6771),f380(x6773,x6774,x6775,x6772))
% 149.08/148.76 [678]~E(x6781,x6782)+E(f166(x6781,x6783,x6784),f166(x6782,x6783,x6784))
% 149.08/148.76 [679]~E(x6791,x6792)+E(f166(x6793,x6791,x6794),f166(x6793,x6792,x6794))
% 149.08/148.76 [680]~E(x6801,x6802)+E(f166(x6803,x6804,x6801),f166(x6803,x6804,x6802))
% 149.08/148.76 [681]~E(x6811,x6812)+E(f764(x6811,x6813),f764(x6812,x6813))
% 149.08/148.76 [682]~E(x6821,x6822)+E(f764(x6823,x6821),f764(x6823,x6822))
% 149.08/148.76 [683]~E(x6831,x6832)+E(f183(x6831,x6833,x6834,x6835,x6836),f183(x6832,x6833,x6834,x6835,x6836))
% 149.08/148.76 [684]~E(x6841,x6842)+E(f183(x6843,x6841,x6844,x6845,x6846),f183(x6843,x6842,x6844,x6845,x6846))
% 149.08/148.76 [685]~E(x6851,x6852)+E(f183(x6853,x6854,x6851,x6855,x6856),f183(x6853,x6854,x6852,x6855,x6856))
% 149.08/148.76 [686]~E(x6861,x6862)+E(f183(x6863,x6864,x6865,x6861,x6866),f183(x6863,x6864,x6865,x6862,x6866))
% 149.08/148.76 [687]~E(x6871,x6872)+E(f183(x6873,x6874,x6875,x6876,x6871),f183(x6873,x6874,x6875,x6876,x6872))
% 149.08/148.76 [688]~E(x6881,x6882)+E(f375(x6881),f375(x6882))
% 149.08/148.76 [689]~E(x6891,x6892)+E(f594(x6891,x6893,x6894),f594(x6892,x6893,x6894))
% 149.08/148.76 [690]~E(x6901,x6902)+E(f594(x6903,x6901,x6904),f594(x6903,x6902,x6904))
% 149.08/148.76 [691]~E(x6911,x6912)+E(f594(x6913,x6914,x6911),f594(x6913,x6914,x6912))
% 149.08/148.76 [692]~E(x6921,x6922)+E(f440(x6921,x6923,x6924,x6925,x6926,x6927),f440(x6922,x6923,x6924,x6925,x6926,x6927))
% 149.08/148.76 [693]~E(x6931,x6932)+E(f440(x6933,x6931,x6934,x6935,x6936,x6937),f440(x6933,x6932,x6934,x6935,x6936,x6937))
% 149.08/148.76 [694]~E(x6941,x6942)+E(f440(x6943,x6944,x6941,x6945,x6946,x6947),f440(x6943,x6944,x6942,x6945,x6946,x6947))
% 149.08/148.76 [695]~E(x6951,x6952)+E(f440(x6953,x6954,x6955,x6951,x6956,x6957),f440(x6953,x6954,x6955,x6952,x6956,x6957))
% 149.08/148.76 [696]~E(x6961,x6962)+E(f440(x6963,x6964,x6965,x6966,x6961,x6967),f440(x6963,x6964,x6965,x6966,x6962,x6967))
% 149.08/148.76 [697]~E(x6971,x6972)+E(f440(x6973,x6974,x6975,x6976,x6977,x6971),f440(x6973,x6974,x6975,x6976,x6977,x6972))
% 149.08/148.76 [698]~E(x6981,x6982)+E(f546(x6981,x6983,x6984,x6985,x6986,x6987,x6988),f546(x6982,x6983,x6984,x6985,x6986,x6987,x6988))
% 149.08/148.76 [699]~E(x6991,x6992)+E(f546(x6993,x6991,x6994,x6995,x6996,x6997,x6998),f546(x6993,x6992,x6994,x6995,x6996,x6997,x6998))
% 149.08/148.76 [700]~E(x7001,x7002)+E(f546(x7003,x7004,x7001,x7005,x7006,x7007,x7008),f546(x7003,x7004,x7002,x7005,x7006,x7007,x7008))
% 149.08/148.76 [701]~E(x7011,x7012)+E(f546(x7013,x7014,x7015,x7011,x7016,x7017,x7018),f546(x7013,x7014,x7015,x7012,x7016,x7017,x7018))
% 149.08/148.76 [702]~E(x7021,x7022)+E(f546(x7023,x7024,x7025,x7026,x7021,x7027,x7028),f546(x7023,x7024,x7025,x7026,x7022,x7027,x7028))
% 149.08/148.76 [703]~E(x7031,x7032)+E(f546(x7033,x7034,x7035,x7036,x7037,x7031,x7038),f546(x7033,x7034,x7035,x7036,x7037,x7032,x7038))
% 149.08/148.76 [704]~E(x7041,x7042)+E(f546(x7043,x7044,x7045,x7046,x7047,x7048,x7041),f546(x7043,x7044,x7045,x7046,x7047,x7048,x7042))
% 149.08/148.76 [705]~E(x7051,x7052)+E(f29(x7051,x7053,x7054),f29(x7052,x7053,x7054))
% 149.08/148.76 [706]~E(x7061,x7062)+E(f29(x7063,x7061,x7064),f29(x7063,x7062,x7064))
% 149.08/148.76 [707]~E(x7071,x7072)+E(f29(x7073,x7074,x7071),f29(x7073,x7074,x7072))
% 149.08/148.76 [708]~E(x7081,x7082)+E(f205(x7081),f205(x7082))
% 149.08/148.76 [709]~E(x7091,x7092)+E(f727(x7091,x7093),f727(x7092,x7093))
% 149.08/148.76 [710]~E(x7101,x7102)+E(f727(x7103,x7101),f727(x7103,x7102))
% 149.08/148.76 [711]~E(x7111,x7112)+E(f227(x7111,x7113,x7114,x7115),f227(x7112,x7113,x7114,x7115))
% 149.08/148.76 [712]~E(x7121,x7122)+E(f227(x7123,x7121,x7124,x7125),f227(x7123,x7122,x7124,x7125))
% 149.08/148.76 [713]~E(x7131,x7132)+E(f227(x7133,x7134,x7131,x7135),f227(x7133,x7134,x7132,x7135))
% 149.08/148.76 [714]~E(x7141,x7142)+E(f227(x7143,x7144,x7145,x7141),f227(x7143,x7144,x7145,x7142))
% 149.08/148.76 [715]~E(x7151,x7152)+E(f704(x7151,x7153,x7154,x7155,x7156),f704(x7152,x7153,x7154,x7155,x7156))
% 149.08/148.76 [716]~E(x7161,x7162)+E(f704(x7163,x7161,x7164,x7165,x7166),f704(x7163,x7162,x7164,x7165,x7166))
% 149.08/148.76 [717]~E(x7171,x7172)+E(f704(x7173,x7174,x7171,x7175,x7176),f704(x7173,x7174,x7172,x7175,x7176))
% 149.08/148.76 [718]~E(x7181,x7182)+E(f704(x7183,x7184,x7185,x7181,x7186),f704(x7183,x7184,x7185,x7182,x7186))
% 149.08/148.76 [719]~E(x7191,x7192)+E(f704(x7193,x7194,x7195,x7196,x7191),f704(x7193,x7194,x7195,x7196,x7192))
% 149.08/148.76 [720]~E(x7201,x7202)+E(f507(x7201,x7203,x7204,x7205),f507(x7202,x7203,x7204,x7205))
% 149.08/148.76 [721]~E(x7211,x7212)+E(f507(x7213,x7211,x7214,x7215),f507(x7213,x7212,x7214,x7215))
% 149.08/148.76 [722]~E(x7221,x7222)+E(f507(x7223,x7224,x7221,x7225),f507(x7223,x7224,x7222,x7225))
% 149.08/148.76 [723]~E(x7231,x7232)+E(f507(x7233,x7234,x7235,x7231),f507(x7233,x7234,x7235,x7232))
% 149.08/148.76 [724]~E(x7241,x7242)+E(f385(x7241,x7243),f385(x7242,x7243))
% 149.08/148.76 [725]~E(x7251,x7252)+E(f385(x7253,x7251),f385(x7253,x7252))
% 149.08/148.76 [726]~E(x7261,x7262)+E(f439(x7261,x7263,x7264,x7265),f439(x7262,x7263,x7264,x7265))
% 149.08/148.76 [727]~E(x7271,x7272)+E(f439(x7273,x7271,x7274,x7275),f439(x7273,x7272,x7274,x7275))
% 149.08/148.76 [728]~E(x7281,x7282)+E(f439(x7283,x7284,x7281,x7285),f439(x7283,x7284,x7282,x7285))
% 149.08/148.76 [729]~E(x7291,x7292)+E(f439(x7293,x7294,x7295,x7291),f439(x7293,x7294,x7295,x7292))
% 149.08/148.76 [730]~E(x7301,x7302)+E(f288(x7301,x7303,x7304),f288(x7302,x7303,x7304))
% 149.08/148.76 [731]~E(x7311,x7312)+E(f288(x7313,x7311,x7314),f288(x7313,x7312,x7314))
% 149.08/148.76 [732]~E(x7321,x7322)+E(f288(x7323,x7324,x7321),f288(x7323,x7324,x7322))
% 149.08/148.76 [733]~E(x7331,x7332)+E(f308(x7331,x7333,x7334),f308(x7332,x7333,x7334))
% 149.08/148.76 [734]~E(x7341,x7342)+E(f308(x7343,x7341,x7344),f308(x7343,x7342,x7344))
% 149.08/148.76 [735]~E(x7351,x7352)+E(f308(x7353,x7354,x7351),f308(x7353,x7354,x7352))
% 149.08/148.76 [736]~E(x7361,x7362)+E(f77(x7361,x7363,x7364,x7365,x7366),f77(x7362,x7363,x7364,x7365,x7366))
% 149.08/148.76 [737]~E(x7371,x7372)+E(f77(x7373,x7371,x7374,x7375,x7376),f77(x7373,x7372,x7374,x7375,x7376))
% 149.08/148.76 [738]~E(x7381,x7382)+E(f77(x7383,x7384,x7381,x7385,x7386),f77(x7383,x7384,x7382,x7385,x7386))
% 149.08/148.76 [739]~E(x7391,x7392)+E(f77(x7393,x7394,x7395,x7391,x7396),f77(x7393,x7394,x7395,x7392,x7396))
% 149.08/148.76 [740]~E(x7401,x7402)+E(f77(x7403,x7404,x7405,x7406,x7401),f77(x7403,x7404,x7405,x7406,x7402))
% 149.08/148.76 [741]~E(x7411,x7412)+E(f812(x7411,x7413,x7414),f812(x7412,x7413,x7414))
% 149.08/148.76 [742]~E(x7421,x7422)+E(f812(x7423,x7421,x7424),f812(x7423,x7422,x7424))
% 149.08/148.76 [743]~E(x7431,x7432)+E(f812(x7433,x7434,x7431),f812(x7433,x7434,x7432))
% 149.08/148.76 [744]~E(x7441,x7442)+E(f618(x7441,x7443,x7444,x7445,x7446,x7447),f618(x7442,x7443,x7444,x7445,x7446,x7447))
% 149.08/148.76 [745]~E(x7451,x7452)+E(f618(x7453,x7451,x7454,x7455,x7456,x7457),f618(x7453,x7452,x7454,x7455,x7456,x7457))
% 149.08/148.76 [746]~E(x7461,x7462)+E(f618(x7463,x7464,x7461,x7465,x7466,x7467),f618(x7463,x7464,x7462,x7465,x7466,x7467))
% 149.08/148.76 [747]~E(x7471,x7472)+E(f618(x7473,x7474,x7475,x7471,x7476,x7477),f618(x7473,x7474,x7475,x7472,x7476,x7477))
% 149.08/148.76 [748]~E(x7481,x7482)+E(f618(x7483,x7484,x7485,x7486,x7481,x7487),f618(x7483,x7484,x7485,x7486,x7482,x7487))
% 149.08/148.76 [749]~E(x7491,x7492)+E(f618(x7493,x7494,x7495,x7496,x7497,x7491),f618(x7493,x7494,x7495,x7496,x7497,x7492))
% 149.08/148.76 [750]~E(x7501,x7502)+E(f202(x7501,x7503,x7504,x7505),f202(x7502,x7503,x7504,x7505))
% 149.08/148.76 [751]~E(x7511,x7512)+E(f202(x7513,x7511,x7514,x7515),f202(x7513,x7512,x7514,x7515))
% 149.08/148.76 [752]~E(x7521,x7522)+E(f202(x7523,x7524,x7521,x7525),f202(x7523,x7524,x7522,x7525))
% 149.08/148.76 [753]~E(x7531,x7532)+E(f202(x7533,x7534,x7535,x7531),f202(x7533,x7534,x7535,x7532))
% 149.08/148.76 [754]~E(x7541,x7542)+E(f200(x7541,x7543,x7544,x7545),f200(x7542,x7543,x7544,x7545))
% 149.08/148.76 [755]~E(x7551,x7552)+E(f200(x7553,x7551,x7554,x7555),f200(x7553,x7552,x7554,x7555))
% 149.08/148.76 [756]~E(x7561,x7562)+E(f200(x7563,x7564,x7561,x7565),f200(x7563,x7564,x7562,x7565))
% 149.08/148.76 [757]~E(x7571,x7572)+E(f200(x7573,x7574,x7575,x7571),f200(x7573,x7574,x7575,x7572))
% 149.08/148.76 [758]~E(x7581,x7582)+E(f181(x7581,x7583,x7584,x7585),f181(x7582,x7583,x7584,x7585))
% 149.08/148.76 [759]~E(x7591,x7592)+E(f181(x7593,x7591,x7594,x7595),f181(x7593,x7592,x7594,x7595))
% 149.08/148.76 [760]~E(x7601,x7602)+E(f181(x7603,x7604,x7601,x7605),f181(x7603,x7604,x7602,x7605))
% 149.08/148.76 [761]~E(x7611,x7612)+E(f181(x7613,x7614,x7615,x7611),f181(x7613,x7614,x7615,x7612))
% 149.08/148.76 [762]~E(x7621,x7622)+E(f509(x7621,x7623,x7624),f509(x7622,x7623,x7624))
% 149.08/148.76 [763]~E(x7631,x7632)+E(f509(x7633,x7631,x7634),f509(x7633,x7632,x7634))
% 149.08/148.76 [764]~E(x7641,x7642)+E(f509(x7643,x7644,x7641),f509(x7643,x7644,x7642))
% 149.08/148.76 [765]~E(x7651,x7652)+E(f640(x7651,x7653),f640(x7652,x7653))
% 149.08/148.76 [766]~E(x7661,x7662)+E(f640(x7663,x7661),f640(x7663,x7662))
% 149.08/148.76 [767]~E(x7671,x7672)+E(f299(x7671,x7673,x7674),f299(x7672,x7673,x7674))
% 149.08/148.76 [768]~E(x7681,x7682)+E(f299(x7683,x7681,x7684),f299(x7683,x7682,x7684))
% 149.08/148.76 [769]~E(x7691,x7692)+E(f299(x7693,x7694,x7691),f299(x7693,x7694,x7692))
% 149.08/148.76 [770]~E(x7701,x7702)+E(f701(x7701,x7703,x7704,x7705,x7706),f701(x7702,x7703,x7704,x7705,x7706))
% 149.08/148.76 [771]~E(x7711,x7712)+E(f701(x7713,x7711,x7714,x7715,x7716),f701(x7713,x7712,x7714,x7715,x7716))
% 149.08/148.76 [772]~E(x7721,x7722)+E(f701(x7723,x7724,x7721,x7725,x7726),f701(x7723,x7724,x7722,x7725,x7726))
% 149.08/148.76 [773]~E(x7731,x7732)+E(f701(x7733,x7734,x7735,x7731,x7736),f701(x7733,x7734,x7735,x7732,x7736))
% 149.08/148.76 [774]~E(x7741,x7742)+E(f701(x7743,x7744,x7745,x7746,x7741),f701(x7743,x7744,x7745,x7746,x7742))
% 149.08/148.76 [775]~E(x7751,x7752)+E(f97(x7751,x7753,x7754,x7755),f97(x7752,x7753,x7754,x7755))
% 149.08/148.76 [776]~E(x7761,x7762)+E(f97(x7763,x7761,x7764,x7765),f97(x7763,x7762,x7764,x7765))
% 149.08/148.76 [777]~E(x7771,x7772)+E(f97(x7773,x7774,x7771,x7775),f97(x7773,x7774,x7772,x7775))
% 149.08/148.76 [778]~E(x7781,x7782)+E(f97(x7783,x7784,x7785,x7781),f97(x7783,x7784,x7785,x7782))
% 149.08/148.76 [779]~E(x7791,x7792)+E(f358(x7791,x7793,x7794,x7795,x7796),f358(x7792,x7793,x7794,x7795,x7796))
% 149.08/148.76 [780]~E(x7801,x7802)+E(f358(x7803,x7801,x7804,x7805,x7806),f358(x7803,x7802,x7804,x7805,x7806))
% 149.08/148.76 [781]~E(x7811,x7812)+E(f358(x7813,x7814,x7811,x7815,x7816),f358(x7813,x7814,x7812,x7815,x7816))
% 149.08/148.76 [782]~E(x7821,x7822)+E(f358(x7823,x7824,x7825,x7821,x7826),f358(x7823,x7824,x7825,x7822,x7826))
% 149.08/148.76 [783]~E(x7831,x7832)+E(f358(x7833,x7834,x7835,x7836,x7831),f358(x7833,x7834,x7835,x7836,x7832))
% 149.08/148.76 [784]~E(x7841,x7842)+E(f526(x7841,x7843,x7844,x7845),f526(x7842,x7843,x7844,x7845))
% 149.08/148.76 [785]~E(x7851,x7852)+E(f526(x7853,x7851,x7854,x7855),f526(x7853,x7852,x7854,x7855))
% 149.08/148.76 [786]~E(x7861,x7862)+E(f526(x7863,x7864,x7861,x7865),f526(x7863,x7864,x7862,x7865))
% 149.08/148.76 [787]~E(x7871,x7872)+E(f526(x7873,x7874,x7875,x7871),f526(x7873,x7874,x7875,x7872))
% 149.08/148.76 [788]~E(x7881,x7882)+E(f694(x7881,x7883),f694(x7882,x7883))
% 149.08/148.76 [789]~E(x7891,x7892)+E(f694(x7893,x7891),f694(x7893,x7892))
% 149.08/148.76 [790]~E(x7901,x7902)+E(f127(x7901,x7903,x7904),f127(x7902,x7903,x7904))
% 149.08/148.76 [791]~E(x7911,x7912)+E(f127(x7913,x7911,x7914),f127(x7913,x7912,x7914))
% 149.08/148.76 [792]~E(x7921,x7922)+E(f127(x7923,x7924,x7921),f127(x7923,x7924,x7922))
% 149.08/148.76 [793]~E(x7931,x7932)+E(f708(x7931,x7933,x7934,x7935),f708(x7932,x7933,x7934,x7935))
% 149.08/148.76 [794]~E(x7941,x7942)+E(f708(x7943,x7941,x7944,x7945),f708(x7943,x7942,x7944,x7945))
% 149.08/148.76 [795]~E(x7951,x7952)+E(f708(x7953,x7954,x7951,x7955),f708(x7953,x7954,x7952,x7955))
% 149.08/148.76 [796]~E(x7961,x7962)+E(f708(x7963,x7964,x7965,x7961),f708(x7963,x7964,x7965,x7962))
% 149.08/148.76 [797]~E(x7971,x7972)+E(f63(x7971,x7973,x7974),f63(x7972,x7973,x7974))
% 149.08/148.76 [798]~E(x7981,x7982)+E(f63(x7983,x7981,x7984),f63(x7983,x7982,x7984))
% 149.08/148.76 [799]~E(x7991,x7992)+E(f63(x7993,x7994,x7991),f63(x7993,x7994,x7992))
% 149.08/148.76 [800]~E(x8001,x8002)+E(f620(x8001,x8003,x8004,x8005,x8006,x8007,x8008,x8009),f620(x8002,x8003,x8004,x8005,x8006,x8007,x8008,x8009))
% 149.08/148.76 [801]~E(x8011,x8012)+E(f620(x8013,x8011,x8014,x8015,x8016,x8017,x8018,x8019),f620(x8013,x8012,x8014,x8015,x8016,x8017,x8018,x8019))
% 149.08/148.76 [802]~E(x8021,x8022)+E(f620(x8023,x8024,x8021,x8025,x8026,x8027,x8028,x8029),f620(x8023,x8024,x8022,x8025,x8026,x8027,x8028,x8029))
% 149.08/148.76 [803]~E(x8031,x8032)+E(f620(x8033,x8034,x8035,x8031,x8036,x8037,x8038,x8039),f620(x8033,x8034,x8035,x8032,x8036,x8037,x8038,x8039))
% 149.08/148.76 [804]~E(x8041,x8042)+E(f620(x8043,x8044,x8045,x8046,x8041,x8047,x8048,x8049),f620(x8043,x8044,x8045,x8046,x8042,x8047,x8048,x8049))
% 149.08/148.76 [805]~E(x8051,x8052)+E(f620(x8053,x8054,x8055,x8056,x8057,x8051,x8058,x8059),f620(x8053,x8054,x8055,x8056,x8057,x8052,x8058,x8059))
% 149.08/148.76 [806]~E(x8061,x8062)+E(f620(x8063,x8064,x8065,x8066,x8067,x8068,x8061,x8069),f620(x8063,x8064,x8065,x8066,x8067,x8068,x8062,x8069))
% 149.08/148.76 [807]~E(x8071,x8072)+E(f620(x8073,x8074,x8075,x8076,x8077,x8078,x8079,x8071),f620(x8073,x8074,x8075,x8076,x8077,x8078,x8079,x8072))
% 149.08/148.76 [808]~E(x8081,x8082)+E(f451(x8081,x8083,x8084),f451(x8082,x8083,x8084))
% 149.08/148.76 [809]~E(x8091,x8092)+E(f451(x8093,x8091,x8094),f451(x8093,x8092,x8094))
% 149.08/148.76 [810]~E(x8101,x8102)+E(f451(x8103,x8104,x8101),f451(x8103,x8104,x8102))
% 149.08/148.76 [811]~E(x8111,x8112)+E(f689(x8111,x8113,x8114),f689(x8112,x8113,x8114))
% 149.08/148.76 [812]~E(x8121,x8122)+E(f689(x8123,x8121,x8124),f689(x8123,x8122,x8124))
% 149.08/148.76 [813]~E(x8131,x8132)+E(f689(x8133,x8134,x8131),f689(x8133,x8134,x8132))
% 149.08/148.76 [814]~E(x8141,x8142)+E(f697(x8141,x8143,x8144,x8145),f697(x8142,x8143,x8144,x8145))
% 149.08/148.76 [815]~E(x8151,x8152)+E(f697(x8153,x8151,x8154,x8155),f697(x8153,x8152,x8154,x8155))
% 149.08/148.76 [816]~E(x8161,x8162)+E(f697(x8163,x8164,x8161,x8165),f697(x8163,x8164,x8162,x8165))
% 149.08/148.76 [817]~E(x8171,x8172)+E(f697(x8173,x8174,x8175,x8171),f697(x8173,x8174,x8175,x8172))
% 149.08/148.76 [818]~E(x8181,x8182)+E(f121(x8181,x8183,x8184,x8185),f121(x8182,x8183,x8184,x8185))
% 149.08/148.76 [819]~E(x8191,x8192)+E(f121(x8193,x8191,x8194,x8195),f121(x8193,x8192,x8194,x8195))
% 149.08/148.76 [820]~E(x8201,x8202)+E(f121(x8203,x8204,x8201,x8205),f121(x8203,x8204,x8202,x8205))
% 149.08/148.76 [821]~E(x8211,x8212)+E(f121(x8213,x8214,x8215,x8211),f121(x8213,x8214,x8215,x8212))
% 149.08/148.76 [822]~E(x8221,x8222)+E(f449(x8221,x8223,x8224),f449(x8222,x8223,x8224))
% 149.08/148.76 [823]~E(x8231,x8232)+E(f449(x8233,x8231,x8234),f449(x8233,x8232,x8234))
% 149.08/148.76 [824]~E(x8241,x8242)+E(f449(x8243,x8244,x8241),f449(x8243,x8244,x8242))
% 149.08/148.76 [825]~E(x8251,x8252)+E(f226(x8251,x8253,x8254),f226(x8252,x8253,x8254))
% 149.08/148.76 [826]~E(x8261,x8262)+E(f226(x8263,x8261,x8264),f226(x8263,x8262,x8264))
% 149.08/148.76 [827]~E(x8271,x8272)+E(f226(x8273,x8274,x8271),f226(x8273,x8274,x8272))
% 149.08/148.76 [828]~E(x8281,x8282)+E(f719(x8281,x8283,x8284),f719(x8282,x8283,x8284))
% 149.08/148.76 [829]~E(x8291,x8292)+E(f719(x8293,x8291,x8294),f719(x8293,x8292,x8294))
% 149.08/148.76 [830]~E(x8301,x8302)+E(f719(x8303,x8304,x8301),f719(x8303,x8304,x8302))
% 149.08/148.76 [831]~E(x8311,x8312)+E(f100(x8311,x8313,x8314,x8315),f100(x8312,x8313,x8314,x8315))
% 149.08/148.76 [832]~E(x8321,x8322)+E(f100(x8323,x8321,x8324,x8325),f100(x8323,x8322,x8324,x8325))
% 149.08/148.76 [833]~E(x8331,x8332)+E(f100(x8333,x8334,x8331,x8335),f100(x8333,x8334,x8332,x8335))
% 149.08/148.76 [834]~E(x8341,x8342)+E(f100(x8343,x8344,x8345,x8341),f100(x8343,x8344,x8345,x8342))
% 149.08/148.76 [835]~E(x8351,x8352)+E(f137(x8351),f137(x8352))
% 149.08/148.76 [836]~E(x8361,x8362)+E(f203(x8361,x8363,x8364,x8365),f203(x8362,x8363,x8364,x8365))
% 149.08/148.76 [837]~E(x8371,x8372)+E(f203(x8373,x8371,x8374,x8375),f203(x8373,x8372,x8374,x8375))
% 149.08/148.76 [838]~E(x8381,x8382)+E(f203(x8383,x8384,x8381,x8385),f203(x8383,x8384,x8382,x8385))
% 149.08/148.76 [839]~E(x8391,x8392)+E(f203(x8393,x8394,x8395,x8391),f203(x8393,x8394,x8395,x8392))
% 149.08/148.76 [840]~E(x8401,x8402)+E(f402(x8401),f402(x8402))
% 149.08/148.76 [841]~E(x8411,x8412)+E(f346(x8411),f346(x8412))
% 149.08/148.76 [842]~E(x8421,x8422)+E(f478(x8421,x8423,x8424),f478(x8422,x8423,x8424))
% 149.08/148.76 [843]~E(x8431,x8432)+E(f478(x8433,x8431,x8434),f478(x8433,x8432,x8434))
% 149.08/148.76 [844]~E(x8441,x8442)+E(f478(x8443,x8444,x8441),f478(x8443,x8444,x8442))
% 149.08/148.76 [845]~E(x8451,x8452)+E(f763(x8451,x8453),f763(x8452,x8453))
% 149.08/148.76 [846]~E(x8461,x8462)+E(f763(x8463,x8461),f763(x8463,x8462))
% 149.08/148.76 [847]~E(x8471,x8472)+E(f853(x8471,x8473,x8474),f853(x8472,x8473,x8474))
% 149.08/148.76 [848]~E(x8481,x8482)+E(f853(x8483,x8481,x8484),f853(x8483,x8482,x8484))
% 149.08/148.76 [849]~E(x8491,x8492)+E(f853(x8493,x8494,x8491),f853(x8493,x8494,x8492))
% 149.08/148.76 [850]~E(x8501,x8502)+E(f254(x8501,x8503),f254(x8502,x8503))
% 149.08/148.76 [851]~E(x8511,x8512)+E(f254(x8513,x8511),f254(x8513,x8512))
% 149.08/148.76 [852]~E(x8521,x8522)+E(f298(x8521),f298(x8522))
% 149.08/148.76 [853]~E(x8531,x8532)+E(f761(x8531,x8533,x8534,x8535,x8536),f761(x8532,x8533,x8534,x8535,x8536))
% 149.08/148.76 [854]~E(x8541,x8542)+E(f761(x8543,x8541,x8544,x8545,x8546),f761(x8543,x8542,x8544,x8545,x8546))
% 149.08/148.76 [855]~E(x8551,x8552)+E(f761(x8553,x8554,x8551,x8555,x8556),f761(x8553,x8554,x8552,x8555,x8556))
% 149.08/148.76 [856]~E(x8561,x8562)+E(f761(x8563,x8564,x8565,x8561,x8566),f761(x8563,x8564,x8565,x8562,x8566))
% 149.08/148.76 [857]~E(x8571,x8572)+E(f761(x8573,x8574,x8575,x8576,x8571),f761(x8573,x8574,x8575,x8576,x8572))
% 149.08/148.76 [858]~E(x8581,x8582)+E(f746(x8581,x8583,x8584),f746(x8582,x8583,x8584))
% 149.08/148.76 [859]~E(x8591,x8592)+E(f746(x8593,x8591,x8594),f746(x8593,x8592,x8594))
% 149.08/148.76 [860]~E(x8601,x8602)+E(f746(x8603,x8604,x8601),f746(x8603,x8604,x8602))
% 149.08/148.76 [861]~E(x8611,x8612)+E(f330(x8611,x8613,x8614,x8615),f330(x8612,x8613,x8614,x8615))
% 149.08/148.76 [862]~E(x8621,x8622)+E(f330(x8623,x8621,x8624,x8625),f330(x8623,x8622,x8624,x8625))
% 149.08/148.76 [863]~E(x8631,x8632)+E(f330(x8633,x8634,x8631,x8635),f330(x8633,x8634,x8632,x8635))
% 149.08/148.76 [864]~E(x8641,x8642)+E(f330(x8643,x8644,x8645,x8641),f330(x8643,x8644,x8645,x8642))
% 149.08/148.76 [865]~E(x8651,x8652)+E(f452(x8651,x8653,x8654),f452(x8652,x8653,x8654))
% 149.08/148.76 [866]~E(x8661,x8662)+E(f452(x8663,x8661,x8664),f452(x8663,x8662,x8664))
% 149.08/148.76 [867]~E(x8671,x8672)+E(f452(x8673,x8674,x8671),f452(x8673,x8674,x8672))
% 149.08/148.76 [868]~E(x8681,x8682)+E(f527(x8681,x8683,x8684,x8685),f527(x8682,x8683,x8684,x8685))
% 149.08/148.76 [869]~E(x8691,x8692)+E(f527(x8693,x8691,x8694,x8695),f527(x8693,x8692,x8694,x8695))
% 149.08/148.76 [870]~E(x8701,x8702)+E(f527(x8703,x8704,x8701,x8705),f527(x8703,x8704,x8702,x8705))
% 149.08/148.76 [871]~E(x8711,x8712)+E(f527(x8713,x8714,x8715,x8711),f527(x8713,x8714,x8715,x8712))
% 149.08/148.76 [872]~E(x8721,x8722)+E(f769(x8721,x8723,x8724,x8725,x8726),f769(x8722,x8723,x8724,x8725,x8726))
% 149.08/148.76 [873]~E(x8731,x8732)+E(f769(x8733,x8731,x8734,x8735,x8736),f769(x8733,x8732,x8734,x8735,x8736))
% 149.08/148.76 [874]~E(x8741,x8742)+E(f769(x8743,x8744,x8741,x8745,x8746),f769(x8743,x8744,x8742,x8745,x8746))
% 149.08/148.76 [875]~E(x8751,x8752)+E(f769(x8753,x8754,x8755,x8751,x8756),f769(x8753,x8754,x8755,x8752,x8756))
% 149.08/148.76 [876]~E(x8761,x8762)+E(f769(x8763,x8764,x8765,x8766,x8761),f769(x8763,x8764,x8765,x8766,x8762))
% 149.08/148.76 [877]~E(x8771,x8772)+E(f654(x8771,x8773,x8774,x8775,x8776),f654(x8772,x8773,x8774,x8775,x8776))
% 149.08/148.76 [878]~E(x8781,x8782)+E(f654(x8783,x8781,x8784,x8785,x8786),f654(x8783,x8782,x8784,x8785,x8786))
% 149.08/148.76 [879]~E(x8791,x8792)+E(f654(x8793,x8794,x8791,x8795,x8796),f654(x8793,x8794,x8792,x8795,x8796))
% 149.08/148.76 [880]~E(x8801,x8802)+E(f654(x8803,x8804,x8805,x8801,x8806),f654(x8803,x8804,x8805,x8802,x8806))
% 149.08/148.76 [881]~E(x8811,x8812)+E(f654(x8813,x8814,x8815,x8816,x8811),f654(x8813,x8814,x8815,x8816,x8812))
% 149.08/148.76 [882]~E(x8821,x8822)+E(f394(x8821,x8823,x8824),f394(x8822,x8823,x8824))
% 149.08/148.76 [883]~E(x8831,x8832)+E(f394(x8833,x8831,x8834),f394(x8833,x8832,x8834))
% 149.08/148.76 [884]~E(x8841,x8842)+E(f394(x8843,x8844,x8841),f394(x8843,x8844,x8842))
% 149.08/148.76 [885]~E(x8851,x8852)+E(f698(x8851,x8853,x8854),f698(x8852,x8853,x8854))
% 149.08/148.76 [886]~E(x8861,x8862)+E(f698(x8863,x8861,x8864),f698(x8863,x8862,x8864))
% 149.08/148.76 [887]~E(x8871,x8872)+E(f698(x8873,x8874,x8871),f698(x8873,x8874,x8872))
% 149.08/148.76 [888]~E(x8881,x8882)+E(f195(x8881,x8883),f195(x8882,x8883))
% 149.08/148.76 [889]~E(x8891,x8892)+E(f195(x8893,x8891),f195(x8893,x8892))
% 149.08/148.76 [890]~E(x8901,x8902)+E(f276(x8901,x8903,x8904),f276(x8902,x8903,x8904))
% 149.08/148.76 [891]~E(x8911,x8912)+E(f276(x8913,x8911,x8914),f276(x8913,x8912,x8914))
% 149.08/148.76 [892]~E(x8921,x8922)+E(f276(x8923,x8924,x8921),f276(x8923,x8924,x8922))
% 149.08/148.76 [893]~E(x8931,x8932)+E(f123(x8931,x8933),f123(x8932,x8933))
% 149.08/148.76 [894]~E(x8941,x8942)+E(f123(x8943,x8941),f123(x8943,x8942))
% 149.08/148.76 [895]~E(x8951,x8952)+E(f510(x8951,x8953,x8954),f510(x8952,x8953,x8954))
% 149.08/148.76 [896]~E(x8961,x8962)+E(f510(x8963,x8961,x8964),f510(x8963,x8962,x8964))
% 149.08/148.76 [897]~E(x8971,x8972)+E(f510(x8973,x8974,x8971),f510(x8973,x8974,x8972))
% 149.08/148.76 [898]~E(x8981,x8982)+E(f804(x8981,x8983,x8984),f804(x8982,x8983,x8984))
% 149.08/148.76 [899]~E(x8991,x8992)+E(f804(x8993,x8991,x8994),f804(x8993,x8992,x8994))
% 149.08/148.76 [900]~E(x9001,x9002)+E(f804(x9003,x9004,x9001),f804(x9003,x9004,x9002))
% 149.08/148.76 [901]~E(x9011,x9012)+E(f554(x9011,x9013,x9014,x9015),f554(x9012,x9013,x9014,x9015))
% 149.08/148.76 [902]~E(x9021,x9022)+E(f554(x9023,x9021,x9024,x9025),f554(x9023,x9022,x9024,x9025))
% 149.08/148.76 [903]~E(x9031,x9032)+E(f554(x9033,x9034,x9031,x9035),f554(x9033,x9034,x9032,x9035))
% 149.08/148.76 [904]~E(x9041,x9042)+E(f554(x9043,x9044,x9045,x9041),f554(x9043,x9044,x9045,x9042))
% 149.08/148.76 [905]~E(x9051,x9052)+E(f830(x9051,x9053,x9054),f830(x9052,x9053,x9054))
% 149.08/148.76 [906]~E(x9061,x9062)+E(f830(x9063,x9061,x9064),f830(x9063,x9062,x9064))
% 149.08/148.76 [907]~E(x9071,x9072)+E(f830(x9073,x9074,x9071),f830(x9073,x9074,x9072))
% 149.08/148.76 [908]~E(x9081,x9082)+E(f129(x9081),f129(x9082))
% 149.08/148.76 [909]~E(x9091,x9092)+E(f423(x9091,x9093,x9094,x9095),f423(x9092,x9093,x9094,x9095))
% 149.08/148.76 [910]~E(x9101,x9102)+E(f423(x9103,x9101,x9104,x9105),f423(x9103,x9102,x9104,x9105))
% 149.08/148.76 [911]~E(x9111,x9112)+E(f423(x9113,x9114,x9111,x9115),f423(x9113,x9114,x9112,x9115))
% 149.08/148.76 [912]~E(x9121,x9122)+E(f423(x9123,x9124,x9125,x9121),f423(x9123,x9124,x9125,x9122))
% 149.08/148.76 [913]~E(x9131,x9132)+E(f557(x9131,x9133,x9134,x9135),f557(x9132,x9133,x9134,x9135))
% 149.08/148.76 [914]~E(x9141,x9142)+E(f557(x9143,x9141,x9144,x9145),f557(x9143,x9142,x9144,x9145))
% 149.08/148.76 [915]~E(x9151,x9152)+E(f557(x9153,x9154,x9151,x9155),f557(x9153,x9154,x9152,x9155))
% 149.08/148.76 [916]~E(x9161,x9162)+E(f557(x9163,x9164,x9165,x9161),f557(x9163,x9164,x9165,x9162))
% 149.08/148.76 [917]~E(x9171,x9172)+E(f522(x9171,x9173,x9174),f522(x9172,x9173,x9174))
% 149.08/148.76 [918]~E(x9181,x9182)+E(f522(x9183,x9181,x9184),f522(x9183,x9182,x9184))
% 149.08/148.76 [919]~E(x9191,x9192)+E(f522(x9193,x9194,x9191),f522(x9193,x9194,x9192))
% 149.08/148.76 [920]~E(x9201,x9202)+E(f843(x9201,x9203,x9204,x9205),f843(x9202,x9203,x9204,x9205))
% 149.08/148.76 [921]~E(x9211,x9212)+E(f843(x9213,x9211,x9214,x9215),f843(x9213,x9212,x9214,x9215))
% 149.08/148.76 [922]~E(x9221,x9222)+E(f843(x9223,x9224,x9221,x9225),f843(x9223,x9224,x9222,x9225))
% 149.08/148.76 [923]~E(x9231,x9232)+E(f843(x9233,x9234,x9235,x9231),f843(x9233,x9234,x9235,x9232))
% 149.08/148.76 [924]~E(x9241,x9242)+E(f491(x9241,x9243,x9244,x9245),f491(x9242,x9243,x9244,x9245))
% 149.08/148.76 [925]~E(x9251,x9252)+E(f491(x9253,x9251,x9254,x9255),f491(x9253,x9252,x9254,x9255))
% 149.08/148.76 [926]~E(x9261,x9262)+E(f491(x9263,x9264,x9261,x9265),f491(x9263,x9264,x9262,x9265))
% 149.08/148.76 [927]~E(x9271,x9272)+E(f491(x9273,x9274,x9275,x9271),f491(x9273,x9274,x9275,x9272))
% 149.08/148.76 [928]~E(x9281,x9282)+E(f538(x9281,x9283,x9284,x9285),f538(x9282,x9283,x9284,x9285))
% 149.08/148.76 [929]~E(x9291,x9292)+E(f538(x9293,x9291,x9294,x9295),f538(x9293,x9292,x9294,x9295))
% 149.08/148.76 [930]~E(x9301,x9302)+E(f538(x9303,x9304,x9301,x9305),f538(x9303,x9304,x9302,x9305))
% 149.08/148.76 [931]~E(x9311,x9312)+E(f538(x9313,x9314,x9315,x9311),f538(x9313,x9314,x9315,x9312))
% 149.08/148.76 [932]~E(x9321,x9322)+E(f815(x9321,x9323,x9324),f815(x9322,x9323,x9324))
% 149.08/148.76 [933]~E(x9331,x9332)+E(f815(x9333,x9331,x9334),f815(x9333,x9332,x9334))
% 149.08/148.76 [934]~E(x9341,x9342)+E(f815(x9343,x9344,x9341),f815(x9343,x9344,x9342))
% 149.08/148.76 [935]~E(x9351,x9352)+E(f518(x9351,x9353,x9354),f518(x9352,x9353,x9354))
% 149.08/148.76 [936]~E(x9361,x9362)+E(f518(x9363,x9361,x9364),f518(x9363,x9362,x9364))
% 149.08/148.76 [937]~E(x9371,x9372)+E(f518(x9373,x9374,x9371),f518(x9373,x9374,x9372))
% 149.08/148.76 [938]~E(x9381,x9382)+E(f475(x9381,x9383,x9384),f475(x9382,x9383,x9384))
% 149.08/148.76 [939]~E(x9391,x9392)+E(f475(x9393,x9391,x9394),f475(x9393,x9392,x9394))
% 149.08/148.76 [940]~E(x9401,x9402)+E(f475(x9403,x9404,x9401),f475(x9403,x9404,x9402))
% 149.08/148.76 [941]~E(x9411,x9412)+E(f220(x9411,x9413),f220(x9412,x9413))
% 149.08/148.76 [942]~E(x9421,x9422)+E(f220(x9423,x9421),f220(x9423,x9422))
% 149.08/148.76 [943]~E(x9431,x9432)+E(f805(x9431,x9433,x9434),f805(x9432,x9433,x9434))
% 149.08/148.76 [944]~E(x9441,x9442)+E(f805(x9443,x9441,x9444),f805(x9443,x9442,x9444))
% 149.08/148.76 [945]~E(x9451,x9452)+E(f805(x9453,x9454,x9451),f805(x9453,x9454,x9452))
% 149.08/148.76 [946]~E(x9461,x9462)+E(f356(x9461,x9463,x9464,x9465,x9466),f356(x9462,x9463,x9464,x9465,x9466))
% 149.08/148.76 [947]~E(x9471,x9472)+E(f356(x9473,x9471,x9474,x9475,x9476),f356(x9473,x9472,x9474,x9475,x9476))
% 149.08/148.76 [948]~E(x9481,x9482)+E(f356(x9483,x9484,x9481,x9485,x9486),f356(x9483,x9484,x9482,x9485,x9486))
% 149.08/148.76 [949]~E(x9491,x9492)+E(f356(x9493,x9494,x9495,x9491,x9496),f356(x9493,x9494,x9495,x9492,x9496))
% 149.08/148.76 [950]~E(x9501,x9502)+E(f356(x9503,x9504,x9505,x9506,x9501),f356(x9503,x9504,x9505,x9506,x9502))
% 149.08/148.76 [951]~E(x9511,x9512)+E(f712(x9511,x9513,x9514),f712(x9512,x9513,x9514))
% 149.08/148.76 [952]~E(x9521,x9522)+E(f712(x9523,x9521,x9524),f712(x9523,x9522,x9524))
% 149.08/148.76 [953]~E(x9531,x9532)+E(f712(x9533,x9534,x9531),f712(x9533,x9534,x9532))
% 149.08/148.76 [954]~E(x9541,x9542)+E(f782(x9541,x9543,x9544,x9545,x9546),f782(x9542,x9543,x9544,x9545,x9546))
% 149.08/148.76 [955]~E(x9551,x9552)+E(f782(x9553,x9551,x9554,x9555,x9556),f782(x9553,x9552,x9554,x9555,x9556))
% 149.08/148.76 [956]~E(x9561,x9562)+E(f782(x9563,x9564,x9561,x9565,x9566),f782(x9563,x9564,x9562,x9565,x9566))
% 149.08/148.76 [957]~E(x9571,x9572)+E(f782(x9573,x9574,x9575,x9571,x9576),f782(x9573,x9574,x9575,x9572,x9576))
% 149.08/148.76 [958]~E(x9581,x9582)+E(f782(x9583,x9584,x9585,x9586,x9581),f782(x9583,x9584,x9585,x9586,x9582))
% 149.08/148.76 [959]~E(x9591,x9592)+E(f862(x9591,x9593,x9594,x9595,x9596),f862(x9592,x9593,x9594,x9595,x9596))
% 149.08/148.76 [960]~E(x9601,x9602)+E(f862(x9603,x9601,x9604,x9605,x9606),f862(x9603,x9602,x9604,x9605,x9606))
% 149.08/148.76 [961]~E(x9611,x9612)+E(f862(x9613,x9614,x9611,x9615,x9616),f862(x9613,x9614,x9612,x9615,x9616))
% 149.08/148.76 [962]~E(x9621,x9622)+E(f862(x9623,x9624,x9625,x9621,x9626),f862(x9623,x9624,x9625,x9622,x9626))
% 149.08/148.76 [963]~E(x9631,x9632)+E(f862(x9633,x9634,x9635,x9636,x9631),f862(x9633,x9634,x9635,x9636,x9632))
% 149.08/148.76 [964]~E(x9641,x9642)+E(f857(x9641,x9643,x9644),f857(x9642,x9643,x9644))
% 149.08/148.76 [965]~E(x9651,x9652)+E(f857(x9653,x9651,x9654),f857(x9653,x9652,x9654))
% 149.08/148.76 [966]~E(x9661,x9662)+E(f857(x9663,x9664,x9661),f857(x9663,x9664,x9662))
% 149.08/148.76 [967]~E(x9671,x9672)+E(f520(x9671,x9673,x9674),f520(x9672,x9673,x9674))
% 149.08/148.76 [968]~E(x9681,x9682)+E(f520(x9683,x9681,x9684),f520(x9683,x9682,x9684))
% 149.08/148.76 [969]~E(x9691,x9692)+E(f520(x9693,x9694,x9691),f520(x9693,x9694,x9692))
% 149.08/148.76 [970]~E(x9701,x9702)+E(f501(x9701,x9703,x9704),f501(x9702,x9703,x9704))
% 149.08/148.76 [971]~E(x9711,x9712)+E(f501(x9713,x9711,x9714),f501(x9713,x9712,x9714))
% 149.08/148.76 [972]~E(x9721,x9722)+E(f501(x9723,x9724,x9721),f501(x9723,x9724,x9722))
% 149.08/148.76 [973]~E(x9731,x9732)+E(f627(x9731,x9733,x9734,x9735),f627(x9732,x9733,x9734,x9735))
% 149.08/148.76 [974]~E(x9741,x9742)+E(f627(x9743,x9741,x9744,x9745),f627(x9743,x9742,x9744,x9745))
% 149.08/148.76 [975]~E(x9751,x9752)+E(f627(x9753,x9754,x9751,x9755),f627(x9753,x9754,x9752,x9755))
% 149.08/148.76 [976]~E(x9761,x9762)+E(f627(x9763,x9764,x9765,x9761),f627(x9763,x9764,x9765,x9762))
% 149.08/148.76 [977]~E(x9771,x9772)+E(f816(x9771,x9773,x9774),f816(x9772,x9773,x9774))
% 149.08/148.76 [978]~E(x9781,x9782)+E(f816(x9783,x9781,x9784),f816(x9783,x9782,x9784))
% 149.08/148.76 [979]~E(x9791,x9792)+E(f816(x9793,x9794,x9791),f816(x9793,x9794,x9792))
% 149.08/148.76 [980]~E(x9801,x9802)+E(f54(x9801,x9803),f54(x9802,x9803))
% 149.08/148.76 [981]~E(x9811,x9812)+E(f54(x9813,x9811),f54(x9813,x9812))
% 149.08/148.76 [982]~E(x9821,x9822)+E(f615(x9821,x9823,x9824,x9825,x9826,x9827),f615(x9822,x9823,x9824,x9825,x9826,x9827))
% 149.08/148.76 [983]~E(x9831,x9832)+E(f615(x9833,x9831,x9834,x9835,x9836,x9837),f615(x9833,x9832,x9834,x9835,x9836,x9837))
% 149.08/148.76 [984]~E(x9841,x9842)+E(f615(x9843,x9844,x9841,x9845,x9846,x9847),f615(x9843,x9844,x9842,x9845,x9846,x9847))
% 149.08/148.76 [985]~E(x9851,x9852)+E(f615(x9853,x9854,x9855,x9851,x9856,x9857),f615(x9853,x9854,x9855,x9852,x9856,x9857))
% 149.08/148.76 [986]~E(x9861,x9862)+E(f615(x9863,x9864,x9865,x9866,x9861,x9867),f615(x9863,x9864,x9865,x9866,x9862,x9867))
% 149.08/148.76 [987]~E(x9871,x9872)+E(f615(x9873,x9874,x9875,x9876,x9877,x9871),f615(x9873,x9874,x9875,x9876,x9877,x9872))
% 149.08/148.76 [988]~E(x9881,x9882)+E(f44(x9881),f44(x9882))
% 149.08/148.76 [989]~E(x9891,x9892)+E(f791(x9891,x9893,x9894),f791(x9892,x9893,x9894))
% 149.08/148.76 [990]~E(x9901,x9902)+E(f791(x9903,x9901,x9904),f791(x9903,x9902,x9904))
% 149.08/148.76 [991]~E(x9911,x9912)+E(f791(x9913,x9914,x9911),f791(x9913,x9914,x9912))
% 149.08/148.76 [992]~E(x9921,x9922)+E(f831(x9921,x9923,x9924,x9925),f831(x9922,x9923,x9924,x9925))
% 149.08/148.76 [993]~E(x9931,x9932)+E(f831(x9933,x9931,x9934,x9935),f831(x9933,x9932,x9934,x9935))
% 149.08/148.76 [994]~E(x9941,x9942)+E(f831(x9943,x9944,x9941,x9945),f831(x9943,x9944,x9942,x9945))
% 149.08/148.76 [995]~E(x9951,x9952)+E(f831(x9953,x9954,x9955,x9951),f831(x9953,x9954,x9955,x9952))
% 149.08/148.76 [996]~E(x9961,x9962)+E(f753(x9961,x9963,x9964,x9965,x9966),f753(x9962,x9963,x9964,x9965,x9966))
% 149.08/148.76 [997]~E(x9971,x9972)+E(f753(x9973,x9971,x9974,x9975,x9976),f753(x9973,x9972,x9974,x9975,x9976))
% 149.08/148.76 [998]~E(x9981,x9982)+E(f753(x9983,x9984,x9981,x9985,x9986),f753(x9983,x9984,x9982,x9985,x9986))
% 149.08/148.76 [999]~E(x9991,x9992)+E(f753(x9993,x9994,x9995,x9991,x9996),f753(x9993,x9994,x9995,x9992,x9996))
% 149.08/148.76 [1000]~E(x10001,x10002)+E(f753(x10003,x10004,x10005,x10006,x10001),f753(x10003,x10004,x10005,x10006,x10002))
% 149.08/148.76 [1001]~E(x10011,x10012)+E(f515(x10011,x10013),f515(x10012,x10013))
% 149.08/148.76 [1002]~E(x10021,x10022)+E(f515(x10023,x10021),f515(x10023,x10022))
% 149.08/148.76 [1003]~E(x10031,x10032)+E(f531(x10031,x10033,x10034),f531(x10032,x10033,x10034))
% 149.08/148.76 [1004]~E(x10041,x10042)+E(f531(x10043,x10041,x10044),f531(x10043,x10042,x10044))
% 149.08/148.76 [1005]~E(x10051,x10052)+E(f531(x10053,x10054,x10051),f531(x10053,x10054,x10052))
% 149.08/148.76 [1006]~E(x10061,x10062)+E(f416(x10061,x10063,x10064,x10065),f416(x10062,x10063,x10064,x10065))
% 149.08/148.76 [1007]~E(x10071,x10072)+E(f416(x10073,x10071,x10074,x10075),f416(x10073,x10072,x10074,x10075))
% 149.08/148.76 [1008]~E(x10081,x10082)+E(f416(x10083,x10084,x10081,x10085),f416(x10083,x10084,x10082,x10085))
% 149.08/148.76 [1009]~E(x10091,x10092)+E(f416(x10093,x10094,x10095,x10091),f416(x10093,x10094,x10095,x10092))
% 149.08/148.76 [1010]~E(x10101,x10102)+E(f267(x10101,x10103,x10104,x10105),f267(x10102,x10103,x10104,x10105))
% 149.08/148.76 [1011]~E(x10111,x10112)+E(f267(x10113,x10111,x10114,x10115),f267(x10113,x10112,x10114,x10115))
% 149.08/148.76 [1012]~E(x10121,x10122)+E(f267(x10123,x10124,x10121,x10125),f267(x10123,x10124,x10122,x10125))
% 149.08/148.76 [1013]~E(x10131,x10132)+E(f267(x10133,x10134,x10135,x10131),f267(x10133,x10134,x10135,x10132))
% 149.08/148.76 [1014]~E(x10141,x10142)+E(f608(x10141,x10143),f608(x10142,x10143))
% 149.08/148.76 [1015]~E(x10151,x10152)+E(f608(x10153,x10151),f608(x10153,x10152))
% 149.08/148.76 [1016]~E(x10161,x10162)+E(f160(x10161,x10163,x10164,x10165),f160(x10162,x10163,x10164,x10165))
% 149.08/148.76 [1017]~E(x10171,x10172)+E(f160(x10173,x10171,x10174,x10175),f160(x10173,x10172,x10174,x10175))
% 149.08/148.76 [1018]~E(x10181,x10182)+E(f160(x10183,x10184,x10181,x10185),f160(x10183,x10184,x10182,x10185))
% 149.08/148.76 [1019]~E(x10191,x10192)+E(f160(x10193,x10194,x10195,x10191),f160(x10193,x10194,x10195,x10192))
% 149.08/148.76 [1020]~E(x10201,x10202)+E(f605(x10201,x10203,x10204),f605(x10202,x10203,x10204))
% 149.08/148.76 [1021]~E(x10211,x10212)+E(f605(x10213,x10211,x10214),f605(x10213,x10212,x10214))
% 149.08/148.76 [1022]~E(x10221,x10222)+E(f605(x10223,x10224,x10221),f605(x10223,x10224,x10222))
% 149.08/148.76 [1023]~E(x10231,x10232)+E(f68(x10231,x10233,x10234),f68(x10232,x10233,x10234))
% 149.08/148.76 [1024]~E(x10241,x10242)+E(f68(x10243,x10241,x10244),f68(x10243,x10242,x10244))
% 149.08/148.76 [1025]~E(x10251,x10252)+E(f68(x10253,x10254,x10251),f68(x10253,x10254,x10252))
% 149.08/148.76 [1026]~E(x10261,x10262)+E(f678(x10261,x10263,x10264,x10265),f678(x10262,x10263,x10264,x10265))
% 149.08/148.76 [1027]~E(x10271,x10272)+E(f678(x10273,x10271,x10274,x10275),f678(x10273,x10272,x10274,x10275))
% 149.08/148.76 [1028]~E(x10281,x10282)+E(f678(x10283,x10284,x10281,x10285),f678(x10283,x10284,x10282,x10285))
% 149.08/148.76 [1029]~E(x10291,x10292)+E(f678(x10293,x10294,x10295,x10291),f678(x10293,x10294,x10295,x10292))
% 149.08/148.76 [1030]~E(x10301,x10302)+E(f724(x10301,x10303),f724(x10302,x10303))
% 149.08/148.76 [1031]~E(x10311,x10312)+E(f724(x10313,x10311),f724(x10313,x10312))
% 149.08/148.76 [1032]~E(x10321,x10322)+E(f690(x10321,x10323),f690(x10322,x10323))
% 149.08/148.76 [1033]~E(x10331,x10332)+E(f690(x10333,x10331),f690(x10333,x10332))
% 149.08/148.76 [1034]~E(x10341,x10342)+E(f318(x10341,x10343,x10344,x10345),f318(x10342,x10343,x10344,x10345))
% 149.08/148.76 [1035]~E(x10351,x10352)+E(f318(x10353,x10351,x10354,x10355),f318(x10353,x10352,x10354,x10355))
% 149.08/148.76 [1036]~E(x10361,x10362)+E(f318(x10363,x10364,x10361,x10365),f318(x10363,x10364,x10362,x10365))
% 149.08/148.76 [1037]~E(x10371,x10372)+E(f318(x10373,x10374,x10375,x10371),f318(x10373,x10374,x10375,x10372))
% 149.08/148.76 [1038]~E(x10381,x10382)+E(f504(x10381,x10383,x10384),f504(x10382,x10383,x10384))
% 149.08/148.76 [1039]~E(x10391,x10392)+E(f504(x10393,x10391,x10394),f504(x10393,x10392,x10394))
% 149.08/148.76 [1040]~E(x10401,x10402)+E(f504(x10403,x10404,x10401),f504(x10403,x10404,x10402))
% 149.08/148.76 [1041]~E(x10411,x10412)+E(f730(x10411,x10413,x10414),f730(x10412,x10413,x10414))
% 149.08/148.76 [1042]~E(x10421,x10422)+E(f730(x10423,x10421,x10424),f730(x10423,x10422,x10424))
% 149.08/148.76 [1043]~E(x10431,x10432)+E(f730(x10433,x10434,x10431),f730(x10433,x10434,x10432))
% 149.08/148.76 [1044]~E(x10441,x10442)+E(f749(x10441,x10443,x10444),f749(x10442,x10443,x10444))
% 149.08/148.76 [1045]~E(x10451,x10452)+E(f749(x10453,x10451,x10454),f749(x10453,x10452,x10454))
% 149.08/148.76 [1046]~E(x10461,x10462)+E(f749(x10463,x10464,x10461),f749(x10463,x10464,x10462))
% 149.08/148.76 [1047]~E(x10471,x10472)+E(f211(x10471,x10473,x10474,x10475),f211(x10472,x10473,x10474,x10475))
% 149.08/148.76 [1048]~E(x10481,x10482)+E(f211(x10483,x10481,x10484,x10485),f211(x10483,x10482,x10484,x10485))
% 149.08/148.76 [1049]~E(x10491,x10492)+E(f211(x10493,x10494,x10491,x10495),f211(x10493,x10494,x10492,x10495))
% 149.08/148.76 [1050]~E(x10501,x10502)+E(f211(x10503,x10504,x10505,x10501),f211(x10503,x10504,x10505,x10502))
% 149.08/148.76 [1051]~E(x10511,x10512)+E(f630(x10511,x10513,x10514,x10515,x10516),f630(x10512,x10513,x10514,x10515,x10516))
% 149.08/148.76 [1052]~E(x10521,x10522)+E(f630(x10523,x10521,x10524,x10525,x10526),f630(x10523,x10522,x10524,x10525,x10526))
% 149.08/148.76 [1053]~E(x10531,x10532)+E(f630(x10533,x10534,x10531,x10535,x10536),f630(x10533,x10534,x10532,x10535,x10536))
% 149.08/148.76 [1054]~E(x10541,x10542)+E(f630(x10543,x10544,x10545,x10541,x10546),f630(x10543,x10544,x10545,x10542,x10546))
% 149.08/148.76 [1055]~E(x10551,x10552)+E(f630(x10553,x10554,x10555,x10556,x10551),f630(x10553,x10554,x10555,x10556,x10552))
% 149.08/148.76 [1056]~E(x10561,x10562)+E(f46(x10561,x10563),f46(x10562,x10563))
% 149.08/148.76 [1057]~E(x10571,x10572)+E(f46(x10573,x10571),f46(x10573,x10572))
% 149.08/148.76 [1058]~E(x10581,x10582)+E(f738(x10581,x10583),f738(x10582,x10583))
% 149.08/148.76 [1059]~E(x10591,x10592)+E(f738(x10593,x10591),f738(x10593,x10592))
% 149.08/148.76 [1060]~E(x10601,x10602)+E(f291(x10601,x10603,x10604,x10605,x10606),f291(x10602,x10603,x10604,x10605,x10606))
% 149.08/148.76 [1061]~E(x10611,x10612)+E(f291(x10613,x10611,x10614,x10615,x10616),f291(x10613,x10612,x10614,x10615,x10616))
% 149.08/148.76 [1062]~E(x10621,x10622)+E(f291(x10623,x10624,x10621,x10625,x10626),f291(x10623,x10624,x10622,x10625,x10626))
% 149.08/148.76 [1063]~E(x10631,x10632)+E(f291(x10633,x10634,x10635,x10631,x10636),f291(x10633,x10634,x10635,x10632,x10636))
% 149.08/148.76 [1064]~E(x10641,x10642)+E(f291(x10643,x10644,x10645,x10646,x10641),f291(x10643,x10644,x10645,x10646,x10642))
% 149.08/148.76 [1065]~E(x10651,x10652)+E(f67(x10651,x10653,x10654,x10655,x10656),f67(x10652,x10653,x10654,x10655,x10656))
% 149.08/148.76 [1066]~E(x10661,x10662)+E(f67(x10663,x10661,x10664,x10665,x10666),f67(x10663,x10662,x10664,x10665,x10666))
% 149.08/148.76 [1067]~E(x10671,x10672)+E(f67(x10673,x10674,x10671,x10675,x10676),f67(x10673,x10674,x10672,x10675,x10676))
% 149.08/148.76 [1068]~E(x10681,x10682)+E(f67(x10683,x10684,x10685,x10681,x10686),f67(x10683,x10684,x10685,x10682,x10686))
% 149.08/148.76 [1069]~E(x10691,x10692)+E(f67(x10693,x10694,x10695,x10696,x10691),f67(x10693,x10694,x10695,x10696,x10692))
% 149.08/148.76 [1070]~E(x10701,x10702)+E(f344(x10701),f344(x10702))
% 149.08/148.76 [1071]~E(x10711,x10712)+E(f369(x10711,x10713,x10714),f369(x10712,x10713,x10714))
% 149.08/148.76 [1072]~E(x10721,x10722)+E(f369(x10723,x10721,x10724),f369(x10723,x10722,x10724))
% 149.08/148.76 [1073]~E(x10731,x10732)+E(f369(x10733,x10734,x10731),f369(x10733,x10734,x10732))
% 149.08/148.76 [1074]~E(x10741,x10742)+E(f662(x10741,x10743,x10744),f662(x10742,x10743,x10744))
% 149.08/148.76 [1075]~E(x10751,x10752)+E(f662(x10753,x10751,x10754),f662(x10753,x10752,x10754))
% 149.08/148.76 [1076]~E(x10761,x10762)+E(f662(x10763,x10764,x10761),f662(x10763,x10764,x10762))
% 149.08/148.76 [1077]~E(x10771,x10772)+E(f681(x10771,x10773,x10774,x10775,x10776),f681(x10772,x10773,x10774,x10775,x10776))
% 149.08/148.76 [1078]~E(x10781,x10782)+E(f681(x10783,x10781,x10784,x10785,x10786),f681(x10783,x10782,x10784,x10785,x10786))
% 149.08/148.76 [1079]~E(x10791,x10792)+E(f681(x10793,x10794,x10791,x10795,x10796),f681(x10793,x10794,x10792,x10795,x10796))
% 149.08/148.76 [1080]~E(x10801,x10802)+E(f681(x10803,x10804,x10805,x10801,x10806),f681(x10803,x10804,x10805,x10802,x10806))
% 149.08/148.76 [1081]~E(x10811,x10812)+E(f681(x10813,x10814,x10815,x10816,x10811),f681(x10813,x10814,x10815,x10816,x10812))
% 149.08/148.76 [1082]~E(x10821,x10822)+E(f806(x10821,x10823,x10824,x10825),f806(x10822,x10823,x10824,x10825))
% 149.08/148.76 [1083]~E(x10831,x10832)+E(f806(x10833,x10831,x10834,x10835),f806(x10833,x10832,x10834,x10835))
% 149.08/148.76 [1084]~E(x10841,x10842)+E(f806(x10843,x10844,x10841,x10845),f806(x10843,x10844,x10842,x10845))
% 149.08/148.76 [1085]~E(x10851,x10852)+E(f806(x10853,x10854,x10855,x10851),f806(x10853,x10854,x10855,x10852))
% 149.08/148.76 [1086]~E(x10861,x10862)+E(f865(x10861,x10863,x10864,x10865,x10866),f865(x10862,x10863,x10864,x10865,x10866))
% 149.08/148.76 [1087]~E(x10871,x10872)+E(f865(x10873,x10871,x10874,x10875,x10876),f865(x10873,x10872,x10874,x10875,x10876))
% 149.08/148.76 [1088]~E(x10881,x10882)+E(f865(x10883,x10884,x10881,x10885,x10886),f865(x10883,x10884,x10882,x10885,x10886))
% 149.08/148.76 [1089]~E(x10891,x10892)+E(f865(x10893,x10894,x10895,x10891,x10896),f865(x10893,x10894,x10895,x10892,x10896))
% 149.08/148.76 [1090]~E(x10901,x10902)+E(f865(x10903,x10904,x10905,x10906,x10901),f865(x10903,x10904,x10905,x10906,x10902))
% 149.08/148.76 [1091]~E(x10911,x10912)+E(f78(x10911,x10913,x10914,x10915),f78(x10912,x10913,x10914,x10915))
% 149.08/148.76 [1092]~E(x10921,x10922)+E(f78(x10923,x10921,x10924,x10925),f78(x10923,x10922,x10924,x10925))
% 149.08/148.76 [1093]~E(x10931,x10932)+E(f78(x10933,x10934,x10931,x10935),f78(x10933,x10934,x10932,x10935))
% 149.08/148.76 [1094]~E(x10941,x10942)+E(f78(x10943,x10944,x10945,x10941),f78(x10943,x10944,x10945,x10942))
% 149.08/148.76 [1095]~E(x10951,x10952)+E(f172(x10951,x10953,x10954),f172(x10952,x10953,x10954))
% 149.08/148.76 [1096]~E(x10961,x10962)+E(f172(x10963,x10961,x10964),f172(x10963,x10962,x10964))
% 149.08/148.76 [1097]~E(x10971,x10972)+E(f172(x10973,x10974,x10971),f172(x10973,x10974,x10972))
% 149.08/148.76 [1098]~E(x10981,x10982)+E(f490(x10981,x10983,x10984,x10985,x10986),f490(x10982,x10983,x10984,x10985,x10986))
% 149.08/148.76 [1099]~E(x10991,x10992)+E(f490(x10993,x10991,x10994,x10995,x10996),f490(x10993,x10992,x10994,x10995,x10996))
% 149.08/148.76 [1100]~E(x11001,x11002)+E(f490(x11003,x11004,x11001,x11005,x11006),f490(x11003,x11004,x11002,x11005,x11006))
% 149.08/148.76 [1101]~E(x11011,x11012)+E(f490(x11013,x11014,x11015,x11011,x11016),f490(x11013,x11014,x11015,x11012,x11016))
% 149.08/148.76 [1102]~E(x11021,x11022)+E(f490(x11023,x11024,x11025,x11026,x11021),f490(x11023,x11024,x11025,x11026,x11022))
% 149.08/148.76 [1103]~E(x11031,x11032)+E(f182(x11031,x11033,x11034),f182(x11032,x11033,x11034))
% 149.08/148.76 [1104]~E(x11041,x11042)+E(f182(x11043,x11041,x11044),f182(x11043,x11042,x11044))
% 149.08/148.76 [1105]~E(x11051,x11052)+E(f182(x11053,x11054,x11051),f182(x11053,x11054,x11052))
% 149.08/148.76 [1106]~E(x11061,x11062)+E(f414(x11061,x11063,x11064,x11065),f414(x11062,x11063,x11064,x11065))
% 149.08/148.76 [1107]~E(x11071,x11072)+E(f414(x11073,x11071,x11074,x11075),f414(x11073,x11072,x11074,x11075))
% 149.08/148.76 [1108]~E(x11081,x11082)+E(f414(x11083,x11084,x11081,x11085),f414(x11083,x11084,x11082,x11085))
% 149.08/148.76 [1109]~E(x11091,x11092)+E(f414(x11093,x11094,x11095,x11091),f414(x11093,x11094,x11095,x11092))
% 149.08/148.76 [1110]~E(x11101,x11102)+E(f433(x11101,x11103,x11104,x11105),f433(x11102,x11103,x11104,x11105))
% 149.08/148.76 [1111]~E(x11111,x11112)+E(f433(x11113,x11111,x11114,x11115),f433(x11113,x11112,x11114,x11115))
% 149.08/148.76 [1112]~E(x11121,x11122)+E(f433(x11123,x11124,x11121,x11125),f433(x11123,x11124,x11122,x11125))
% 149.08/148.76 [1113]~E(x11131,x11132)+E(f433(x11133,x11134,x11135,x11131),f433(x11133,x11134,x11135,x11132))
% 149.08/148.76 [1114]~E(x11141,x11142)+E(f159(x11141,x11143,x11144,x11145),f159(x11142,x11143,x11144,x11145))
% 149.08/148.76 [1115]~E(x11151,x11152)+E(f159(x11153,x11151,x11154,x11155),f159(x11153,x11152,x11154,x11155))
% 149.08/148.76 [1116]~E(x11161,x11162)+E(f159(x11163,x11164,x11161,x11165),f159(x11163,x11164,x11162,x11165))
% 149.08/148.76 [1117]~E(x11171,x11172)+E(f159(x11173,x11174,x11175,x11171),f159(x11173,x11174,x11175,x11172))
% 149.08/148.76 [1118]~E(x11181,x11182)+E(f163(x11181,x11183,x11184),f163(x11182,x11183,x11184))
% 149.08/148.76 [1119]~E(x11191,x11192)+E(f163(x11193,x11191,x11194),f163(x11193,x11192,x11194))
% 149.08/148.76 [1120]~E(x11201,x11202)+E(f163(x11203,x11204,x11201),f163(x11203,x11204,x11202))
% 149.08/148.76 [1121]~E(x11211,x11212)+E(f145(x11211,x11213,x11214,x11215,x11216),f145(x11212,x11213,x11214,x11215,x11216))
% 149.08/148.76 [1122]~E(x11221,x11222)+E(f145(x11223,x11221,x11224,x11225,x11226),f145(x11223,x11222,x11224,x11225,x11226))
% 149.08/148.76 [1123]~E(x11231,x11232)+E(f145(x11233,x11234,x11231,x11235,x11236),f145(x11233,x11234,x11232,x11235,x11236))
% 149.08/148.76 [1124]~E(x11241,x11242)+E(f145(x11243,x11244,x11245,x11241,x11246),f145(x11243,x11244,x11245,x11242,x11246))
% 149.08/148.76 [1125]~E(x11251,x11252)+E(f145(x11253,x11254,x11255,x11256,x11251),f145(x11253,x11254,x11255,x11256,x11252))
% 149.08/148.76 [1126]~E(x11261,x11262)+E(f799(x11261,x11263,x11264),f799(x11262,x11263,x11264))
% 149.08/148.76 [1127]~E(x11271,x11272)+E(f799(x11273,x11271,x11274),f799(x11273,x11272,x11274))
% 149.08/148.76 [1128]~E(x11281,x11282)+E(f799(x11283,x11284,x11281),f799(x11283,x11284,x11282))
% 149.08/148.76 [1129]~E(x11291,x11292)+E(f706(x11291,x11293,x11294,x11295,x11296),f706(x11292,x11293,x11294,x11295,x11296))
% 149.08/148.76 [1130]~E(x11301,x11302)+E(f706(x11303,x11301,x11304,x11305,x11306),f706(x11303,x11302,x11304,x11305,x11306))
% 149.08/148.76 [1131]~E(x11311,x11312)+E(f706(x11313,x11314,x11311,x11315,x11316),f706(x11313,x11314,x11312,x11315,x11316))
% 149.08/148.76 [1132]~E(x11321,x11322)+E(f706(x11323,x11324,x11325,x11321,x11326),f706(x11323,x11324,x11325,x11322,x11326))
% 149.08/148.76 [1133]~E(x11331,x11332)+E(f706(x11333,x11334,x11335,x11336,x11331),f706(x11333,x11334,x11335,x11336,x11332))
% 149.08/148.76 [1134]~E(x11341,x11342)+E(f809(x11341,x11343),f809(x11342,x11343))
% 149.08/148.76 [1135]~E(x11351,x11352)+E(f809(x11353,x11351),f809(x11353,x11352))
% 149.08/148.76 [1136]~E(x11361,x11362)+E(f691(x11361,x11363,x11364),f691(x11362,x11363,x11364))
% 149.08/148.76 [1137]~E(x11371,x11372)+E(f691(x11373,x11371,x11374),f691(x11373,x11372,x11374))
% 149.08/148.76 [1138]~E(x11381,x11382)+E(f691(x11383,x11384,x11381),f691(x11383,x11384,x11382))
% 149.08/148.76 [1139]~E(x11391,x11392)+E(f752(x11391,x11393,x11394,x11395),f752(x11392,x11393,x11394,x11395))
% 149.08/148.76 [1140]~E(x11401,x11402)+E(f752(x11403,x11401,x11404,x11405),f752(x11403,x11402,x11404,x11405))
% 149.08/148.76 [1141]~E(x11411,x11412)+E(f752(x11413,x11414,x11411,x11415),f752(x11413,x11414,x11412,x11415))
% 149.08/148.76 [1142]~E(x11421,x11422)+E(f752(x11423,x11424,x11425,x11421),f752(x11423,x11424,x11425,x11422))
% 149.08/148.76 [1143]~E(x11431,x11432)+E(f514(x11431,x11433,x11434,x11435),f514(x11432,x11433,x11434,x11435))
% 149.08/148.76 [1144]~E(x11441,x11442)+E(f514(x11443,x11441,x11444,x11445),f514(x11443,x11442,x11444,x11445))
% 149.08/148.76 [1145]~E(x11451,x11452)+E(f514(x11453,x11454,x11451,x11455),f514(x11453,x11454,x11452,x11455))
% 149.08/148.76 [1146]~E(x11461,x11462)+E(f514(x11463,x11464,x11465,x11461),f514(x11463,x11464,x11465,x11462))
% 149.08/148.76 [1147]~E(x11471,x11472)+E(f705(x11471,x11473,x11474,x11475,x11476),f705(x11472,x11473,x11474,x11475,x11476))
% 149.08/148.76 [1148]~E(x11481,x11482)+E(f705(x11483,x11481,x11484,x11485,x11486),f705(x11483,x11482,x11484,x11485,x11486))
% 149.08/148.76 [1149]~E(x11491,x11492)+E(f705(x11493,x11494,x11491,x11495,x11496),f705(x11493,x11494,x11492,x11495,x11496))
% 149.08/148.76 [1150]~E(x11501,x11502)+E(f705(x11503,x11504,x11505,x11501,x11506),f705(x11503,x11504,x11505,x11502,x11506))
% 149.08/148.76 [1151]~E(x11511,x11512)+E(f705(x11513,x11514,x11515,x11516,x11511),f705(x11513,x11514,x11515,x11516,x11512))
% 149.08/148.76 [1152]~E(x11521,x11522)+E(f454(x11521,x11523,x11524,x11525),f454(x11522,x11523,x11524,x11525))
% 149.08/148.76 [1153]~E(x11531,x11532)+E(f454(x11533,x11531,x11534,x11535),f454(x11533,x11532,x11534,x11535))
% 149.08/148.76 [1154]~E(x11541,x11542)+E(f454(x11543,x11544,x11541,x11545),f454(x11543,x11544,x11542,x11545))
% 149.08/148.76 [1155]~E(x11551,x11552)+E(f454(x11553,x11554,x11555,x11551),f454(x11553,x11554,x11555,x11552))
% 149.08/148.76 [1156]~E(x11561,x11562)+E(f214(x11561,x11563,x11564,x11565),f214(x11562,x11563,x11564,x11565))
% 149.08/148.76 [1157]~E(x11571,x11572)+E(f214(x11573,x11571,x11574,x11575),f214(x11573,x11572,x11574,x11575))
% 149.08/148.76 [1158]~E(x11581,x11582)+E(f214(x11583,x11584,x11581,x11585),f214(x11583,x11584,x11582,x11585))
% 149.08/148.76 [1159]~E(x11591,x11592)+E(f214(x11593,x11594,x11595,x11591),f214(x11593,x11594,x11595,x11592))
% 149.08/148.76 [1160]~E(x11601,x11602)+E(f420(x11601,x11603,x11604,x11605),f420(x11602,x11603,x11604,x11605))
% 149.08/148.76 [1161]~E(x11611,x11612)+E(f420(x11613,x11611,x11614,x11615),f420(x11613,x11612,x11614,x11615))
% 149.08/148.76 [1162]~E(x11621,x11622)+E(f420(x11623,x11624,x11621,x11625),f420(x11623,x11624,x11622,x11625))
% 149.08/148.76 [1163]~E(x11631,x11632)+E(f420(x11633,x11634,x11635,x11631),f420(x11633,x11634,x11635,x11632))
% 149.08/148.76 [1164]~E(x11641,x11642)+E(f361(x11641,x11643,x11644),f361(x11642,x11643,x11644))
% 149.08/148.76 [1165]~E(x11651,x11652)+E(f361(x11653,x11651,x11654),f361(x11653,x11652,x11654))
% 149.08/148.76 [1166]~E(x11661,x11662)+E(f361(x11663,x11664,x11661),f361(x11663,x11664,x11662))
% 149.08/148.76 [1167]~E(x11671,x11672)+E(f658(x11671,x11673,x11674,x11675,x11676),f658(x11672,x11673,x11674,x11675,x11676))
% 149.08/148.76 [1168]~E(x11681,x11682)+E(f658(x11683,x11681,x11684,x11685,x11686),f658(x11683,x11682,x11684,x11685,x11686))
% 149.08/148.76 [1169]~E(x11691,x11692)+E(f658(x11693,x11694,x11691,x11695,x11696),f658(x11693,x11694,x11692,x11695,x11696))
% 149.08/148.76 [1170]~E(x11701,x11702)+E(f658(x11703,x11704,x11705,x11701,x11706),f658(x11703,x11704,x11705,x11702,x11706))
% 149.08/148.76 [1171]~E(x11711,x11712)+E(f658(x11713,x11714,x11715,x11716,x11711),f658(x11713,x11714,x11715,x11716,x11712))
% 149.08/148.76 [1172]~E(x11721,x11722)+E(f432(x11721,x11723,x11724),f432(x11722,x11723,x11724))
% 149.08/148.76 [1173]~E(x11731,x11732)+E(f432(x11733,x11731,x11734),f432(x11733,x11732,x11734))
% 149.08/148.76 [1174]~E(x11741,x11742)+E(f432(x11743,x11744,x11741),f432(x11743,x11744,x11742))
% 149.08/148.76 [1175]~E(x11751,x11752)+E(f487(x11751,x11753,x11754,x11755,x11756),f487(x11752,x11753,x11754,x11755,x11756))
% 149.08/148.76 [1176]~E(x11761,x11762)+E(f487(x11763,x11761,x11764,x11765,x11766),f487(x11763,x11762,x11764,x11765,x11766))
% 149.08/148.76 [1177]~E(x11771,x11772)+E(f487(x11773,x11774,x11771,x11775,x11776),f487(x11773,x11774,x11772,x11775,x11776))
% 149.08/148.76 [1178]~E(x11781,x11782)+E(f487(x11783,x11784,x11785,x11781,x11786),f487(x11783,x11784,x11785,x11782,x11786))
% 149.08/148.76 [1179]~E(x11791,x11792)+E(f487(x11793,x11794,x11795,x11796,x11791),f487(x11793,x11794,x11795,x11796,x11792))
% 149.08/148.76 [1180]~E(x11801,x11802)+E(f534(x11801,x11803,x11804,x11805,x11806,x11807,x11808),f534(x11802,x11803,x11804,x11805,x11806,x11807,x11808))
% 149.08/148.76 [1181]~E(x11811,x11812)+E(f534(x11813,x11811,x11814,x11815,x11816,x11817,x11818),f534(x11813,x11812,x11814,x11815,x11816,x11817,x11818))
% 149.08/148.76 [1182]~E(x11821,x11822)+E(f534(x11823,x11824,x11821,x11825,x11826,x11827,x11828),f534(x11823,x11824,x11822,x11825,x11826,x11827,x11828))
% 149.08/148.76 [1183]~E(x11831,x11832)+E(f534(x11833,x11834,x11835,x11831,x11836,x11837,x11838),f534(x11833,x11834,x11835,x11832,x11836,x11837,x11838))
% 149.08/148.76 [1184]~E(x11841,x11842)+E(f534(x11843,x11844,x11845,x11846,x11841,x11847,x11848),f534(x11843,x11844,x11845,x11846,x11842,x11847,x11848))
% 149.08/148.76 [1185]~E(x11851,x11852)+E(f534(x11853,x11854,x11855,x11856,x11857,x11851,x11858),f534(x11853,x11854,x11855,x11856,x11857,x11852,x11858))
% 149.08/148.76 [1186]~E(x11861,x11862)+E(f534(x11863,x11864,x11865,x11866,x11867,x11868,x11861),f534(x11863,x11864,x11865,x11866,x11867,x11868,x11862))
% 149.08/148.76 [1187]~E(x11871,x11872)+E(f425(x11871,x11873,x11874,x11875),f425(x11872,x11873,x11874,x11875))
% 149.08/148.76 [1188]~E(x11881,x11882)+E(f425(x11883,x11881,x11884,x11885),f425(x11883,x11882,x11884,x11885))
% 149.08/148.76 [1189]~E(x11891,x11892)+E(f425(x11893,x11894,x11891,x11895),f425(x11893,x11894,x11892,x11895))
% 149.08/148.76 [1190]~E(x11901,x11902)+E(f425(x11903,x11904,x11905,x11901),f425(x11903,x11904,x11905,x11902))
% 149.08/148.76 [1191]~E(x11911,x11912)+E(f136(x11911,x11913,x11914),f136(x11912,x11913,x11914))
% 149.08/148.76 [1192]~E(x11921,x11922)+E(f136(x11923,x11921,x11924),f136(x11923,x11922,x11924))
% 149.08/148.76 [1193]~E(x11931,x11932)+E(f136(x11933,x11934,x11931),f136(x11933,x11934,x11932))
% 149.08/148.76 [1194]~E(x11941,x11942)+E(f345(x11941),f345(x11942))
% 149.08/148.76 [1195]~E(x11951,x11952)+E(f311(x11951),f311(x11952))
% 149.08/148.76 [1196]~E(x11961,x11962)+E(f598(x11961,x11963,x11964),f598(x11962,x11963,x11964))
% 149.08/148.76 [1197]~E(x11971,x11972)+E(f598(x11973,x11971,x11974),f598(x11973,x11972,x11974))
% 149.08/148.76 [1198]~E(x11981,x11982)+E(f598(x11983,x11984,x11981),f598(x11983,x11984,x11982))
% 149.08/148.76 [1199]~E(x11991,x11992)+E(f775(x11991,x11993,x11994),f775(x11992,x11993,x11994))
% 149.08/148.76 [1200]~E(x12001,x12002)+E(f775(x12003,x12001,x12004),f775(x12003,x12002,x12004))
% 149.08/148.76 [1201]~E(x12011,x12012)+E(f775(x12013,x12014,x12011),f775(x12013,x12014,x12012))
% 149.08/148.76 [1202]~E(x12021,x12022)+E(f856(x12021,x12023,x12024,x12025),f856(x12022,x12023,x12024,x12025))
% 149.08/148.76 [1203]~E(x12031,x12032)+E(f856(x12033,x12031,x12034,x12035),f856(x12033,x12032,x12034,x12035))
% 149.08/148.76 [1204]~E(x12041,x12042)+E(f856(x12043,x12044,x12041,x12045),f856(x12043,x12044,x12042,x12045))
% 149.08/148.76 [1205]~E(x12051,x12052)+E(f856(x12053,x12054,x12055,x12051),f856(x12053,x12054,x12055,x12052))
% 149.08/148.76 [1206]~E(x12061,x12062)+E(f741(x12061,x12063,x12064),f741(x12062,x12063,x12064))
% 149.08/148.76 [1207]~E(x12071,x12072)+E(f741(x12073,x12071,x12074),f741(x12073,x12072,x12074))
% 149.08/148.76 [1208]~E(x12081,x12082)+E(f741(x12083,x12084,x12081),f741(x12083,x12084,x12082))
% 149.08/148.76 [1209]~E(x12091,x12092)+E(f770(x12091,x12093,x12094),f770(x12092,x12093,x12094))
% 149.08/148.76 [1210]~E(x12101,x12102)+E(f770(x12103,x12101,x12104),f770(x12103,x12102,x12104))
% 149.08/148.76 [1211]~E(x12111,x12112)+E(f770(x12113,x12114,x12111),f770(x12113,x12114,x12112))
% 149.08/148.76 [1212]~E(x12121,x12122)+E(f417(x12121,x12123,x12124,x12125),f417(x12122,x12123,x12124,x12125))
% 149.08/148.76 [1213]~E(x12131,x12132)+E(f417(x12133,x12131,x12134,x12135),f417(x12133,x12132,x12134,x12135))
% 149.08/148.76 [1214]~E(x12141,x12142)+E(f417(x12143,x12144,x12141,x12145),f417(x12143,x12144,x12142,x12145))
% 149.08/148.76 [1215]~E(x12151,x12152)+E(f417(x12153,x12154,x12155,x12151),f417(x12153,x12154,x12155,x12152))
% 149.08/148.76 [1216]~E(x12161,x12162)+E(f231(x12161,x12163,x12164,x12165),f231(x12162,x12163,x12164,x12165))
% 149.08/148.76 [1217]~E(x12171,x12172)+E(f231(x12173,x12171,x12174,x12175),f231(x12173,x12172,x12174,x12175))
% 149.08/148.76 [1218]~E(x12181,x12182)+E(f231(x12183,x12184,x12181,x12185),f231(x12183,x12184,x12182,x12185))
% 149.08/148.76 [1219]~E(x12191,x12192)+E(f231(x12193,x12194,x12195,x12191),f231(x12193,x12194,x12195,x12192))
% 149.08/148.76 [1220]~E(x12201,x12202)+E(f674(x12201,x12203,x12204,x12205,x12206),f674(x12202,x12203,x12204,x12205,x12206))
% 149.08/148.76 [1221]~E(x12211,x12212)+E(f674(x12213,x12211,x12214,x12215,x12216),f674(x12213,x12212,x12214,x12215,x12216))
% 149.08/148.76 [1222]~E(x12221,x12222)+E(f674(x12223,x12224,x12221,x12225,x12226),f674(x12223,x12224,x12222,x12225,x12226))
% 149.08/148.76 [1223]~E(x12231,x12232)+E(f674(x12233,x12234,x12235,x12231,x12236),f674(x12233,x12234,x12235,x12232,x12236))
% 149.08/148.76 [1224]~E(x12241,x12242)+E(f674(x12243,x12244,x12245,x12246,x12241),f674(x12243,x12244,x12245,x12246,x12242))
% 149.08/148.76 [1225]~E(x12251,x12252)+E(f748(x12251,x12253),f748(x12252,x12253))
% 149.08/148.76 [1226]~E(x12261,x12262)+E(f748(x12263,x12261),f748(x12263,x12262))
% 149.08/148.76 [1227]~E(x12271,x12272)+E(f648(x12271,x12273,x12274,x12275,x12276),f648(x12272,x12273,x12274,x12275,x12276))
% 149.08/148.76 [1228]~E(x12281,x12282)+E(f648(x12283,x12281,x12284,x12285,x12286),f648(x12283,x12282,x12284,x12285,x12286))
% 149.08/148.76 [1229]~E(x12291,x12292)+E(f648(x12293,x12294,x12291,x12295,x12296),f648(x12293,x12294,x12292,x12295,x12296))
% 149.08/148.76 [1230]~E(x12301,x12302)+E(f648(x12303,x12304,x12305,x12301,x12306),f648(x12303,x12304,x12305,x12302,x12306))
% 149.08/148.76 [1231]~E(x12311,x12312)+E(f648(x12313,x12314,x12315,x12316,x12311),f648(x12313,x12314,x12315,x12316,x12312))
% 149.08/148.76 [1232]~E(x12321,x12322)+E(f670(x12321,x12323,x12324,x12325,x12326),f670(x12322,x12323,x12324,x12325,x12326))
% 149.08/148.76 [1233]~E(x12331,x12332)+E(f670(x12333,x12331,x12334,x12335,x12336),f670(x12333,x12332,x12334,x12335,x12336))
% 149.08/148.76 [1234]~E(x12341,x12342)+E(f670(x12343,x12344,x12341,x12345,x12346),f670(x12343,x12344,x12342,x12345,x12346))
% 149.08/148.76 [1235]~E(x12351,x12352)+E(f670(x12353,x12354,x12355,x12351,x12356),f670(x12353,x12354,x12355,x12352,x12356))
% 149.08/148.76 [1236]~E(x12361,x12362)+E(f670(x12363,x12364,x12365,x12366,x12361),f670(x12363,x12364,x12365,x12366,x12362))
% 149.08/148.76 [1237]~E(x12371,x12372)+E(f553(x12371,x12373,x12374,x12375),f553(x12372,x12373,x12374,x12375))
% 149.08/148.76 [1238]~E(x12381,x12382)+E(f553(x12383,x12381,x12384,x12385),f553(x12383,x12382,x12384,x12385))
% 149.08/148.76 [1239]~E(x12391,x12392)+E(f553(x12393,x12394,x12391,x12395),f553(x12393,x12394,x12392,x12395))
% 149.08/148.76 [1240]~E(x12401,x12402)+E(f553(x12403,x12404,x12405,x12401),f553(x12403,x12404,x12405,x12402))
% 149.08/148.76 [1241]~E(x12411,x12412)+E(f680(x12411,x12413,x12414,x12415,x12416),f680(x12412,x12413,x12414,x12415,x12416))
% 149.08/148.76 [1242]~E(x12421,x12422)+E(f680(x12423,x12421,x12424,x12425,x12426),f680(x12423,x12422,x12424,x12425,x12426))
% 149.08/148.76 [1243]~E(x12431,x12432)+E(f680(x12433,x12434,x12431,x12435,x12436),f680(x12433,x12434,x12432,x12435,x12436))
% 149.08/148.76 [1244]~E(x12441,x12442)+E(f680(x12443,x12444,x12445,x12441,x12446),f680(x12443,x12444,x12445,x12442,x12446))
% 149.08/148.76 [1245]~E(x12451,x12452)+E(f680(x12453,x12454,x12455,x12456,x12451),f680(x12453,x12454,x12455,x12456,x12452))
% 149.08/148.76 [1246]~E(x12461,x12462)+E(f169(x12461,x12463,x12464),f169(x12462,x12463,x12464))
% 149.08/148.76 [1247]~E(x12471,x12472)+E(f169(x12473,x12471,x12474),f169(x12473,x12472,x12474))
% 149.08/148.76 [1248]~E(x12481,x12482)+E(f169(x12483,x12484,x12481),f169(x12483,x12484,x12482))
% 149.08/148.76 [1249]~E(x12491,x12492)+E(f734(x12491,x12493),f734(x12492,x12493))
% 149.08/148.76 [1250]~E(x12501,x12502)+E(f734(x12503,x12501),f734(x12503,x12502))
% 149.08/148.76 [1251]~E(x12511,x12512)+E(f252(x12511,x12513,x12514),f252(x12512,x12513,x12514))
% 149.08/148.76 [1252]~E(x12521,x12522)+E(f252(x12523,x12521,x12524),f252(x12523,x12522,x12524))
% 149.08/148.76 [1253]~E(x12531,x12532)+E(f252(x12533,x12534,x12531),f252(x12533,x12534,x12532))
% 149.08/148.76 [1254]~E(x12541,x12542)+E(f589(x12541,x12543,x12544,x12545,x12546),f589(x12542,x12543,x12544,x12545,x12546))
% 149.08/148.76 [1255]~E(x12551,x12552)+E(f589(x12553,x12551,x12554,x12555,x12556),f589(x12553,x12552,x12554,x12555,x12556))
% 149.08/148.76 [1256]~E(x12561,x12562)+E(f589(x12563,x12564,x12561,x12565,x12566),f589(x12563,x12564,x12562,x12565,x12566))
% 149.08/148.76 [1257]~E(x12571,x12572)+E(f589(x12573,x12574,x12575,x12571,x12576),f589(x12573,x12574,x12575,x12572,x12576))
% 149.08/148.76 [1258]~E(x12581,x12582)+E(f589(x12583,x12584,x12585,x12586,x12581),f589(x12583,x12584,x12585,x12586,x12582))
% 149.08/148.76 [1259]~E(x12591,x12592)+E(f688(x12591,x12593,x12594),f688(x12592,x12593,x12594))
% 149.08/148.76 [1260]~E(x12601,x12602)+E(f688(x12603,x12601,x12604),f688(x12603,x12602,x12604))
% 149.08/148.76 [1261]~E(x12611,x12612)+E(f688(x12613,x12614,x12611),f688(x12613,x12614,x12612))
% 149.08/148.76 [1262]~E(x12621,x12622)+E(f629(x12621,x12623,x12624,x12625),f629(x12622,x12623,x12624,x12625))
% 149.08/148.76 [1263]~E(x12631,x12632)+E(f629(x12633,x12631,x12634,x12635),f629(x12633,x12632,x12634,x12635))
% 149.08/148.76 [1264]~E(x12641,x12642)+E(f629(x12643,x12644,x12641,x12645),f629(x12643,x12644,x12642,x12645))
% 149.08/148.76 [1265]~E(x12651,x12652)+E(f629(x12653,x12654,x12655,x12651),f629(x12653,x12654,x12655,x12652))
% 149.08/148.76 [1266]~E(x12661,x12662)+E(f596(x12661,x12663,x12664,x12665,x12666),f596(x12662,x12663,x12664,x12665,x12666))
% 149.08/148.76 [1267]~E(x12671,x12672)+E(f596(x12673,x12671,x12674,x12675,x12676),f596(x12673,x12672,x12674,x12675,x12676))
% 149.08/148.76 [1268]~E(x12681,x12682)+E(f596(x12683,x12684,x12681,x12685,x12686),f596(x12683,x12684,x12682,x12685,x12686))
% 149.08/148.76 [1269]~E(x12691,x12692)+E(f596(x12693,x12694,x12695,x12691,x12696),f596(x12693,x12694,x12695,x12692,x12696))
% 149.08/148.76 [1270]~E(x12701,x12702)+E(f596(x12703,x12704,x12705,x12706,x12701),f596(x12703,x12704,x12705,x12706,x12702))
% 149.08/148.76 [1271]~E(x12711,x12712)+E(f378(x12711,x12713,x12714,x12715,x12716),f378(x12712,x12713,x12714,x12715,x12716))
% 149.08/148.76 [1272]~E(x12721,x12722)+E(f378(x12723,x12721,x12724,x12725,x12726),f378(x12723,x12722,x12724,x12725,x12726))
% 149.08/148.76 [1273]~E(x12731,x12732)+E(f378(x12733,x12734,x12731,x12735,x12736),f378(x12733,x12734,x12732,x12735,x12736))
% 149.08/148.76 [1274]~E(x12741,x12742)+E(f378(x12743,x12744,x12745,x12741,x12746),f378(x12743,x12744,x12745,x12742,x12746))
% 149.08/148.76 [1275]~E(x12751,x12752)+E(f378(x12753,x12754,x12755,x12756,x12751),f378(x12753,x12754,x12755,x12756,x12752))
% 149.08/148.76 [1276]~E(x12761,x12762)+E(f848(x12761,x12763,x12764),f848(x12762,x12763,x12764))
% 149.08/148.76 [1277]~E(x12771,x12772)+E(f848(x12773,x12771,x12774),f848(x12773,x12772,x12774))
% 149.08/148.76 [1278]~E(x12781,x12782)+E(f848(x12783,x12784,x12781),f848(x12783,x12784,x12782))
% 149.08/148.76 [1279]~E(x12791,x12792)+E(f390(x12791,x12793),f390(x12792,x12793))
% 149.08/148.76 [1280]~E(x12801,x12802)+E(f390(x12803,x12801),f390(x12803,x12802))
% 149.08/148.76 [1281]~E(x12811,x12812)+E(f762(x12811,x12813),f762(x12812,x12813))
% 149.08/148.76 [1282]~E(x12821,x12822)+E(f762(x12823,x12821),f762(x12823,x12822))
% 149.08/148.76 [1283]~E(x12831,x12832)+E(f535(x12831,x12833,x12834,x12835,x12836,x12837,x12838),f535(x12832,x12833,x12834,x12835,x12836,x12837,x12838))
% 149.08/148.76 [1284]~E(x12841,x12842)+E(f535(x12843,x12841,x12844,x12845,x12846,x12847,x12848),f535(x12843,x12842,x12844,x12845,x12846,x12847,x12848))
% 149.08/148.76 [1285]~E(x12851,x12852)+E(f535(x12853,x12854,x12851,x12855,x12856,x12857,x12858),f535(x12853,x12854,x12852,x12855,x12856,x12857,x12858))
% 149.08/148.76 [1286]~E(x12861,x12862)+E(f535(x12863,x12864,x12865,x12861,x12866,x12867,x12868),f535(x12863,x12864,x12865,x12862,x12866,x12867,x12868))
% 149.08/148.76 [1287]~E(x12871,x12872)+E(f535(x12873,x12874,x12875,x12876,x12871,x12877,x12878),f535(x12873,x12874,x12875,x12876,x12872,x12877,x12878))
% 149.08/148.76 [1288]~E(x12881,x12882)+E(f535(x12883,x12884,x12885,x12886,x12887,x12881,x12888),f535(x12883,x12884,x12885,x12886,x12887,x12882,x12888))
% 149.08/148.76 [1289]~E(x12891,x12892)+E(f535(x12893,x12894,x12895,x12896,x12897,x12898,x12891),f535(x12893,x12894,x12895,x12896,x12897,x12898,x12892))
% 149.08/148.76 [1290]~E(x12901,x12902)+E(f274(x12901,x12903),f274(x12902,x12903))
% 149.08/148.76 [1291]~E(x12911,x12912)+E(f274(x12913,x12911),f274(x12913,x12912))
% 149.08/148.76 [1292]~E(x12921,x12922)+E(f151(x12921,x12923,x12924),f151(x12922,x12923,x12924))
% 149.08/148.76 [1293]~E(x12931,x12932)+E(f151(x12933,x12931,x12934),f151(x12933,x12932,x12934))
% 149.08/148.76 [1294]~E(x12941,x12942)+E(f151(x12943,x12944,x12941),f151(x12943,x12944,x12942))
% 149.08/148.76 [1295]~E(x12951,x12952)+E(f699(x12951,x12953,x12954,x12955,x12956),f699(x12952,x12953,x12954,x12955,x12956))
% 149.08/148.76 [1296]~E(x12961,x12962)+E(f699(x12963,x12961,x12964,x12965,x12966),f699(x12963,x12962,x12964,x12965,x12966))
% 149.08/148.76 [1297]~E(x12971,x12972)+E(f699(x12973,x12974,x12971,x12975,x12976),f699(x12973,x12974,x12972,x12975,x12976))
% 149.08/148.76 [1298]~E(x12981,x12982)+E(f699(x12983,x12984,x12985,x12981,x12986),f699(x12983,x12984,x12985,x12982,x12986))
% 149.08/148.76 [1299]~E(x12991,x12992)+E(f699(x12993,x12994,x12995,x12996,x12991),f699(x12993,x12994,x12995,x12996,x12992))
% 149.08/148.76 [1300]~E(x13001,x13002)+E(f427(x13001,x13003),f427(x13002,x13003))
% 149.08/148.76 [1301]~E(x13011,x13012)+E(f427(x13013,x13011),f427(x13013,x13012))
% 149.08/148.76 [1302]~E(x13021,x13022)+E(f225(x13021,x13023),f225(x13022,x13023))
% 149.08/148.76 [1303]~E(x13031,x13032)+E(f225(x13033,x13031),f225(x13033,x13032))
% 149.08/148.76 [1304]~E(x13041,x13042)+E(f544(x13041,x13043,x13044),f544(x13042,x13043,x13044))
% 149.08/148.76 [1305]~E(x13051,x13052)+E(f544(x13053,x13051,x13054),f544(x13053,x13052,x13054))
% 149.08/148.76 [1306]~E(x13061,x13062)+E(f544(x13063,x13064,x13061),f544(x13063,x13064,x13062))
% 149.08/148.76 [1307]~E(x13071,x13072)+E(f824(x13071,x13073,x13074,x13075),f824(x13072,x13073,x13074,x13075))
% 149.08/148.76 [1308]~E(x13081,x13082)+E(f824(x13083,x13081,x13084,x13085),f824(x13083,x13082,x13084,x13085))
% 149.08/148.76 [1309]~E(x13091,x13092)+E(f824(x13093,x13094,x13091,x13095),f824(x13093,x13094,x13092,x13095))
% 149.08/148.76 [1310]~E(x13101,x13102)+E(f824(x13103,x13104,x13105,x13101),f824(x13103,x13104,x13105,x13102))
% 149.08/148.76 [1311]~E(x13111,x13112)+E(f516(x13111,x13113,x13114),f516(x13112,x13113,x13114))
% 149.08/148.76 [1312]~E(x13121,x13122)+E(f516(x13123,x13121,x13124),f516(x13123,x13122,x13124))
% 149.08/148.76 [1313]~E(x13131,x13132)+E(f516(x13133,x13134,x13131),f516(x13133,x13134,x13132))
% 149.08/148.76 [1314]~E(x13141,x13142)+E(f376(x13141,x13143),f376(x13142,x13143))
% 149.08/148.76 [1315]~E(x13151,x13152)+E(f376(x13153,x13151),f376(x13153,x13152))
% 149.08/148.76 [1316]~E(x13161,x13162)+E(f131(x13161,x13163,x13164,x13165,x13166),f131(x13162,x13163,x13164,x13165,x13166))
% 149.08/148.76 [1317]~E(x13171,x13172)+E(f131(x13173,x13171,x13174,x13175,x13176),f131(x13173,x13172,x13174,x13175,x13176))
% 149.08/148.76 [1318]~E(x13181,x13182)+E(f131(x13183,x13184,x13181,x13185,x13186),f131(x13183,x13184,x13182,x13185,x13186))
% 149.08/148.76 [1319]~E(x13191,x13192)+E(f131(x13193,x13194,x13195,x13191,x13196),f131(x13193,x13194,x13195,x13192,x13196))
% 149.08/148.76 [1320]~E(x13201,x13202)+E(f131(x13203,x13204,x13205,x13206,x13201),f131(x13203,x13204,x13205,x13206,x13202))
% 149.08/148.76 [1321]~E(x13211,x13212)+E(f636(x13211,x13213,x13214,x13215,x13216),f636(x13212,x13213,x13214,x13215,x13216))
% 149.08/148.76 [1322]~E(x13221,x13222)+E(f636(x13223,x13221,x13224,x13225,x13226),f636(x13223,x13222,x13224,x13225,x13226))
% 149.08/148.76 [1323]~E(x13231,x13232)+E(f636(x13233,x13234,x13231,x13235,x13236),f636(x13233,x13234,x13232,x13235,x13236))
% 149.08/148.76 [1324]~E(x13241,x13242)+E(f636(x13243,x13244,x13245,x13241,x13246),f636(x13243,x13244,x13245,x13242,x13246))
% 149.08/148.76 [1325]~E(x13251,x13252)+E(f636(x13253,x13254,x13255,x13256,x13251),f636(x13253,x13254,x13255,x13256,x13252))
% 149.08/148.76 [1326]~E(x13261,x13262)+E(f747(x13261,x13263),f747(x13262,x13263))
% 149.08/148.76 [1327]~E(x13271,x13272)+E(f747(x13273,x13271),f747(x13273,x13272))
% 149.08/148.76 [1328]~E(x13281,x13282)+E(f310(x13281,x13283,x13284),f310(x13282,x13283,x13284))
% 149.08/148.76 [1329]~E(x13291,x13292)+E(f310(x13293,x13291,x13294),f310(x13293,x13292,x13294))
% 149.08/148.76 [1330]~E(x13301,x13302)+E(f310(x13303,x13304,x13301),f310(x13303,x13304,x13302))
% 149.08/148.76 [1331]~E(x13311,x13312)+E(f692(x13311,x13313,x13314),f692(x13312,x13313,x13314))
% 149.08/148.76 [1332]~E(x13321,x13322)+E(f692(x13323,x13321,x13324),f692(x13323,x13322,x13324))
% 149.08/148.76 [1333]~E(x13331,x13332)+E(f692(x13333,x13334,x13331),f692(x13333,x13334,x13332))
% 149.08/148.76 [1334]~E(x13341,x13342)+E(f479(x13341,x13343,x13344,x13345),f479(x13342,x13343,x13344,x13345))
% 149.08/148.76 [1335]~E(x13351,x13352)+E(f479(x13353,x13351,x13354,x13355),f479(x13353,x13352,x13354,x13355))
% 149.08/148.76 [1336]~E(x13361,x13362)+E(f479(x13363,x13364,x13361,x13365),f479(x13363,x13364,x13362,x13365))
% 149.08/148.76 [1337]~E(x13371,x13372)+E(f479(x13373,x13374,x13375,x13371),f479(x13373,x13374,x13375,x13372))
% 149.08/148.76 [1338]~E(x13381,x13382)+E(f582(x13381,x13383,x13384,x13385,x13386),f582(x13382,x13383,x13384,x13385,x13386))
% 149.08/148.76 [1339]~E(x13391,x13392)+E(f582(x13393,x13391,x13394,x13395,x13396),f582(x13393,x13392,x13394,x13395,x13396))
% 149.08/148.76 [1340]~E(x13401,x13402)+E(f582(x13403,x13404,x13401,x13405,x13406),f582(x13403,x13404,x13402,x13405,x13406))
% 149.08/148.76 [1341]~E(x13411,x13412)+E(f582(x13413,x13414,x13415,x13411,x13416),f582(x13413,x13414,x13415,x13412,x13416))
% 149.08/148.76 [1342]~E(x13421,x13422)+E(f582(x13423,x13424,x13425,x13426,x13421),f582(x13423,x13424,x13425,x13426,x13422))
% 149.08/148.76 [1343]~E(x13431,x13432)+E(f610(x13431,x13433,x13434),f610(x13432,x13433,x13434))
% 149.08/148.76 [1344]~E(x13441,x13442)+E(f610(x13443,x13441,x13444),f610(x13443,x13442,x13444))
% 149.08/148.76 [1345]~E(x13451,x13452)+E(f610(x13453,x13454,x13451),f610(x13453,x13454,x13452))
% 149.08/148.76 [1346]~E(x13461,x13462)+E(f370(x13461,x13463),f370(x13462,x13463))
% 149.08/148.76 [1347]~E(x13471,x13472)+E(f370(x13473,x13471),f370(x13473,x13472))
% 149.08/148.76 [1348]~E(x13481,x13482)+E(f602(x13481,x13483),f602(x13482,x13483))
% 149.08/148.76 [1349]~E(x13491,x13492)+E(f602(x13493,x13491),f602(x13493,x13492))
% 149.08/148.76 [1350]~E(x13501,x13502)+E(f760(x13501,x13503,x13504,x13505,x13506),f760(x13502,x13503,x13504,x13505,x13506))
% 149.08/148.76 [1351]~E(x13511,x13512)+E(f760(x13513,x13511,x13514,x13515,x13516),f760(x13513,x13512,x13514,x13515,x13516))
% 149.08/148.76 [1352]~E(x13521,x13522)+E(f760(x13523,x13524,x13521,x13525,x13526),f760(x13523,x13524,x13522,x13525,x13526))
% 149.08/148.76 [1353]~E(x13531,x13532)+E(f760(x13533,x13534,x13535,x13531,x13536),f760(x13533,x13534,x13535,x13532,x13536))
% 149.08/148.76 [1354]~E(x13541,x13542)+E(f760(x13543,x13544,x13545,x13546,x13541),f760(x13543,x13544,x13545,x13546,x13542))
% 149.08/148.76 [1355]~E(x13551,x13552)+E(f723(x13551,x13553,x13554,x13555),f723(x13552,x13553,x13554,x13555))
% 149.08/148.76 [1356]~E(x13561,x13562)+E(f723(x13563,x13561,x13564,x13565),f723(x13563,x13562,x13564,x13565))
% 149.08/148.76 [1357]~E(x13571,x13572)+E(f723(x13573,x13574,x13571,x13575),f723(x13573,x13574,x13572,x13575))
% 149.08/148.76 [1358]~E(x13581,x13582)+E(f723(x13583,x13584,x13585,x13581),f723(x13583,x13584,x13585,x13582))
% 149.08/148.76 [1359]~E(x13591,x13592)+E(f647(x13591,x13593,x13594,x13595,x13596),f647(x13592,x13593,x13594,x13595,x13596))
% 149.08/148.76 [1360]~E(x13601,x13602)+E(f647(x13603,x13601,x13604,x13605,x13606),f647(x13603,x13602,x13604,x13605,x13606))
% 149.08/148.76 [1361]~E(x13611,x13612)+E(f647(x13613,x13614,x13611,x13615,x13616),f647(x13613,x13614,x13612,x13615,x13616))
% 149.08/148.76 [1362]~E(x13621,x13622)+E(f647(x13623,x13624,x13625,x13621,x13626),f647(x13623,x13624,x13625,x13622,x13626))
% 149.08/148.76 [1363]~E(x13631,x13632)+E(f647(x13633,x13634,x13635,x13636,x13631),f647(x13633,x13634,x13635,x13636,x13632))
% 149.08/148.76 [1364]~E(x13641,x13642)+E(f710(x13641,x13643,x13644,x13645),f710(x13642,x13643,x13644,x13645))
% 149.08/148.76 [1365]~E(x13651,x13652)+E(f710(x13653,x13651,x13654,x13655),f710(x13653,x13652,x13654,x13655))
% 149.08/148.76 [1366]~E(x13661,x13662)+E(f710(x13663,x13664,x13661,x13665),f710(x13663,x13664,x13662,x13665))
% 149.08/148.76 [1367]~E(x13671,x13672)+E(f710(x13673,x13674,x13675,x13671),f710(x13673,x13674,x13675,x13672))
% 149.08/148.76 [1368]~E(x13681,x13682)+E(f606(x13681,x13683,x13684,x13685),f606(x13682,x13683,x13684,x13685))
% 149.08/148.76 [1369]~E(x13691,x13692)+E(f606(x13693,x13691,x13694,x13695),f606(x13693,x13692,x13694,x13695))
% 149.08/148.76 [1370]~E(x13701,x13702)+E(f606(x13703,x13704,x13701,x13705),f606(x13703,x13704,x13702,x13705))
% 149.08/148.76 [1371]~E(x13711,x13712)+E(f606(x13713,x13714,x13715,x13711),f606(x13713,x13714,x13715,x13712))
% 149.08/148.76 [1372]~E(x13721,x13722)+E(f759(x13721,x13723,x13724,x13725),f759(x13722,x13723,x13724,x13725))
% 149.08/148.76 [1373]~E(x13731,x13732)+E(f759(x13733,x13731,x13734,x13735),f759(x13733,x13732,x13734,x13735))
% 149.08/148.76 [1374]~E(x13741,x13742)+E(f759(x13743,x13744,x13741,x13745),f759(x13743,x13744,x13742,x13745))
% 149.08/148.76 [1375]~E(x13751,x13752)+E(f759(x13753,x13754,x13755,x13751),f759(x13753,x13754,x13755,x13752))
% 149.08/148.76 [1376]~E(x13761,x13762)+E(f621(x13761,x13763,x13764),f621(x13762,x13763,x13764))
% 149.08/148.76 [1377]~E(x13771,x13772)+E(f621(x13773,x13771,x13774),f621(x13773,x13772,x13774))
% 149.08/148.76 [1378]~E(x13781,x13782)+E(f621(x13783,x13784,x13781),f621(x13783,x13784,x13782))
% 149.08/148.76 [1379]~E(x13791,x13792)+E(f219(x13791,x13793),f219(x13792,x13793))
% 149.08/148.76 [1380]~E(x13801,x13802)+E(f219(x13803,x13801),f219(x13803,x13802))
% 149.08/148.76 [1381]~E(x13811,x13812)+E(f784(x13811,x13813,x13814,x13815,x13816),f784(x13812,x13813,x13814,x13815,x13816))
% 149.08/148.76 [1382]~E(x13821,x13822)+E(f784(x13823,x13821,x13824,x13825,x13826),f784(x13823,x13822,x13824,x13825,x13826))
% 149.08/148.76 [1383]~E(x13831,x13832)+E(f784(x13833,x13834,x13831,x13835,x13836),f784(x13833,x13834,x13832,x13835,x13836))
% 149.08/148.76 [1384]~E(x13841,x13842)+E(f784(x13843,x13844,x13845,x13841,x13846),f784(x13843,x13844,x13845,x13842,x13846))
% 149.08/148.76 [1385]~E(x13851,x13852)+E(f784(x13853,x13854,x13855,x13856,x13851),f784(x13853,x13854,x13855,x13856,x13852))
% 149.08/148.76 [1386]~E(x13861,x13862)+E(f593(x13861,x13863,x13864),f593(x13862,x13863,x13864))
% 149.08/148.76 [1387]~E(x13871,x13872)+E(f593(x13873,x13871,x13874),f593(x13873,x13872,x13874))
% 149.08/148.76 [1388]~E(x13881,x13882)+E(f593(x13883,x13884,x13881),f593(x13883,x13884,x13882))
% 149.08/148.76 [1389]~E(x13891,x13892)+E(f728(x13891,x13893),f728(x13892,x13893))
% 149.08/148.76 [1390]~E(x13901,x13902)+E(f728(x13903,x13901),f728(x13903,x13902))
% 149.08/148.76 [1391]~E(x13911,x13912)+E(f332(x13911,x13913),f332(x13912,x13913))
% 149.08/148.76 [1392]~E(x13921,x13922)+E(f332(x13923,x13921),f332(x13923,x13922))
% 149.08/148.76 [1393]~E(x13931,x13932)+E(f139(x13931,x13933),f139(x13932,x13933))
% 149.08/148.76 [1394]~E(x13941,x13942)+E(f139(x13943,x13941),f139(x13943,x13942))
% 149.08/148.76 [1395]~E(x13951,x13952)+E(f234(x13951,x13953,x13954),f234(x13952,x13953,x13954))
% 149.08/148.76 [1396]~E(x13961,x13962)+E(f234(x13963,x13961,x13964),f234(x13963,x13962,x13964))
% 149.08/148.76 [1397]~E(x13971,x13972)+E(f234(x13973,x13974,x13971),f234(x13973,x13974,x13972))
% 149.08/148.76 [1398]~E(x13981,x13982)+E(f714(x13981,x13983,x13984),f714(x13982,x13983,x13984))
% 149.08/148.76 [1399]~E(x13991,x13992)+E(f714(x13993,x13991,x13994),f714(x13993,x13992,x13994))
% 149.08/148.76 [1400]~E(x14001,x14002)+E(f714(x14003,x14004,x14001),f714(x14003,x14004,x14002))
% 149.08/148.76 [1401]~E(x14011,x14012)+E(f337(x14011,x14013,x14014,x14015,x14016,x14017),f337(x14012,x14013,x14014,x14015,x14016,x14017))
% 149.08/148.76 [1402]~E(x14021,x14022)+E(f337(x14023,x14021,x14024,x14025,x14026,x14027),f337(x14023,x14022,x14024,x14025,x14026,x14027))
% 149.08/148.76 [1403]~E(x14031,x14032)+E(f337(x14033,x14034,x14031,x14035,x14036,x14037),f337(x14033,x14034,x14032,x14035,x14036,x14037))
% 149.08/148.76 [1404]~E(x14041,x14042)+E(f337(x14043,x14044,x14045,x14041,x14046,x14047),f337(x14043,x14044,x14045,x14042,x14046,x14047))
% 149.08/148.76 [1405]~E(x14051,x14052)+E(f337(x14053,x14054,x14055,x14056,x14051,x14057),f337(x14053,x14054,x14055,x14056,x14052,x14057))
% 149.08/148.76 [1406]~E(x14061,x14062)+E(f337(x14063,x14064,x14065,x14066,x14067,x14061),f337(x14063,x14064,x14065,x14066,x14067,x14062))
% 149.08/148.76 [1407]~E(x14071,x14072)+E(f467(x14071,x14073),f467(x14072,x14073))
% 149.08/148.76 [1408]~E(x14081,x14082)+E(f467(x14083,x14081),f467(x14083,x14082))
% 149.08/148.76 [1409]~E(x14091,x14092)+E(f354(x14091,x14093,x14094,x14095,x14096),f354(x14092,x14093,x14094,x14095,x14096))
% 149.08/148.76 [1410]~E(x14101,x14102)+E(f354(x14103,x14101,x14104,x14105,x14106),f354(x14103,x14102,x14104,x14105,x14106))
% 149.08/148.76 [1411]~E(x14111,x14112)+E(f354(x14113,x14114,x14111,x14115,x14116),f354(x14113,x14114,x14112,x14115,x14116))
% 149.08/148.76 [1412]~E(x14121,x14122)+E(f354(x14123,x14124,x14125,x14121,x14126),f354(x14123,x14124,x14125,x14122,x14126))
% 149.08/148.76 [1413]~E(x14131,x14132)+E(f354(x14133,x14134,x14135,x14136,x14131),f354(x14133,x14134,x14135,x14136,x14132))
% 149.08/148.76 [1414]~E(x14141,x14142)+E(f477(x14141,x14143,x14144),f477(x14142,x14143,x14144))
% 149.08/148.76 [1415]~E(x14151,x14152)+E(f477(x14153,x14151,x14154),f477(x14153,x14152,x14154))
% 149.08/148.76 [1416]~E(x14161,x14162)+E(f477(x14163,x14164,x14161),f477(x14163,x14164,x14162))
% 149.08/148.76 [1417]~E(x14171,x14172)+E(f569(x14171,x14173,x14174,x14175),f569(x14172,x14173,x14174,x14175))
% 149.08/148.76 [1418]~E(x14181,x14182)+E(f569(x14183,x14181,x14184,x14185),f569(x14183,x14182,x14184,x14185))
% 149.08/148.76 [1419]~E(x14191,x14192)+E(f569(x14193,x14194,x14191,x14195),f569(x14193,x14194,x14192,x14195))
% 149.08/148.76 [1420]~E(x14201,x14202)+E(f569(x14203,x14204,x14205,x14201),f569(x14203,x14204,x14205,x14202))
% 149.08/148.76 [1421]~E(x14211,x14212)+E(f672(x14211,x14213,x14214,x14215,x14216,x14217),f672(x14212,x14213,x14214,x14215,x14216,x14217))
% 149.08/148.76 [1422]~E(x14221,x14222)+E(f672(x14223,x14221,x14224,x14225,x14226,x14227),f672(x14223,x14222,x14224,x14225,x14226,x14227))
% 149.08/148.76 [1423]~E(x14231,x14232)+E(f672(x14233,x14234,x14231,x14235,x14236,x14237),f672(x14233,x14234,x14232,x14235,x14236,x14237))
% 149.08/148.76 [1424]~E(x14241,x14242)+E(f672(x14243,x14244,x14245,x14241,x14246,x14247),f672(x14243,x14244,x14245,x14242,x14246,x14247))
% 149.08/148.76 [1425]~E(x14251,x14252)+E(f672(x14253,x14254,x14255,x14256,x14251,x14257),f672(x14253,x14254,x14255,x14256,x14252,x14257))
% 149.08/148.76 [1426]~E(x14261,x14262)+E(f672(x14263,x14264,x14265,x14266,x14267,x14261),f672(x14263,x14264,x14265,x14266,x14267,x14262))
% 149.08/148.76 [1427]~E(x14271,x14272)+E(f456(x14271,x14273,x14274),f456(x14272,x14273,x14274))
% 149.08/148.76 [1428]~E(x14281,x14282)+E(f456(x14283,x14281,x14284),f456(x14283,x14282,x14284))
% 149.08/148.76 [1429]~E(x14291,x14292)+E(f456(x14293,x14294,x14291),f456(x14293,x14294,x14292))
% 149.08/148.76 [1430]~E(x14301,x14302)+E(f207(x14301),f207(x14302))
% 149.08/148.76 [1431]~E(x14311,x14312)+E(f418(x14311,x14313),f418(x14312,x14313))
% 149.08/148.76 [1432]~E(x14321,x14322)+E(f418(x14323,x14321),f418(x14323,x14322))
% 149.08/148.76 [1433]~E(x14331,x14332)+E(f340(x14331,x14333,x14334,x14335,x14336),f340(x14332,x14333,x14334,x14335,x14336))
% 149.08/148.76 [1434]~E(x14341,x14342)+E(f340(x14343,x14341,x14344,x14345,x14346),f340(x14343,x14342,x14344,x14345,x14346))
% 149.08/148.76 [1435]~E(x14351,x14352)+E(f340(x14353,x14354,x14351,x14355,x14356),f340(x14353,x14354,x14352,x14355,x14356))
% 149.08/148.76 [1436]~E(x14361,x14362)+E(f340(x14363,x14364,x14365,x14361,x14366),f340(x14363,x14364,x14365,x14362,x14366))
% 149.08/148.76 [1437]~E(x14371,x14372)+E(f340(x14373,x14374,x14375,x14376,x14371),f340(x14373,x14374,x14375,x14376,x14372))
% 149.08/148.76 [1438]~E(x14381,x14382)+E(f827(x14381,x14383,x14384,x14385),f827(x14382,x14383,x14384,x14385))
% 149.08/148.76 [1439]~E(x14391,x14392)+E(f827(x14393,x14391,x14394,x14395),f827(x14393,x14392,x14394,x14395))
% 149.08/148.76 [1440]~E(x14401,x14402)+E(f827(x14403,x14404,x14401,x14405),f827(x14403,x14404,x14402,x14405))
% 149.08/148.76 [1441]~E(x14411,x14412)+E(f827(x14413,x14414,x14415,x14411),f827(x14413,x14414,x14415,x14412))
% 149.08/148.76 [1442]~E(x14421,x14422)+E(f537(x14421),f537(x14422))
% 149.08/148.76 [1443]~E(x14431,x14432)+E(f401(x14431,x14433,x14434),f401(x14432,x14433,x14434))
% 149.08/148.76 [1444]~E(x14441,x14442)+E(f401(x14443,x14441,x14444),f401(x14443,x14442,x14444))
% 149.08/148.76 [1445]~E(x14451,x14452)+E(f401(x14453,x14454,x14451),f401(x14453,x14454,x14452))
% 149.08/148.76 [1446]~E(x14461,x14462)+E(f228(x14461,x14463,x14464),f228(x14462,x14463,x14464))
% 149.08/148.76 [1447]~E(x14471,x14472)+E(f228(x14473,x14471,x14474),f228(x14473,x14472,x14474))
% 149.08/148.76 [1448]~E(x14481,x14482)+E(f228(x14483,x14484,x14481),f228(x14483,x14484,x14482))
% 149.08/148.76 [1449]~E(x14491,x14492)+E(f656(x14491,x14493,x14494,x14495),f656(x14492,x14493,x14494,x14495))
% 149.08/148.76 [1450]~E(x14501,x14502)+E(f656(x14503,x14501,x14504,x14505),f656(x14503,x14502,x14504,x14505))
% 149.08/148.76 [1451]~E(x14511,x14512)+E(f656(x14513,x14514,x14511,x14515),f656(x14513,x14514,x14512,x14515))
% 149.08/148.76 [1452]~E(x14521,x14522)+E(f656(x14523,x14524,x14525,x14521),f656(x14523,x14524,x14525,x14522))
% 149.08/148.76 [1453]~E(x14531,x14532)+E(f858(x14531,x14533,x14534,x14535),f858(x14532,x14533,x14534,x14535))
% 149.08/148.76 [1454]~E(x14541,x14542)+E(f858(x14543,x14541,x14544,x14545),f858(x14543,x14542,x14544,x14545))
% 149.08/148.76 [1455]~E(x14551,x14552)+E(f858(x14553,x14554,x14551,x14555),f858(x14553,x14554,x14552,x14555))
% 149.08/148.76 [1456]~E(x14561,x14562)+E(f858(x14563,x14564,x14565,x14561),f858(x14563,x14564,x14565,x14562))
% 149.08/148.76 [1457]~E(x14571,x14572)+E(f566(x14571,x14573),f566(x14572,x14573))
% 149.08/148.76 [1458]~E(x14581,x14582)+E(f566(x14583,x14581),f566(x14583,x14582))
% 149.08/148.76 [1459]~E(x14591,x14592)+E(f349(x14591,x14593),f349(x14592,x14593))
% 149.08/148.76 [1460]~E(x14601,x14602)+E(f349(x14603,x14601),f349(x14603,x14602))
% 149.08/148.76 [1461]~E(x14611,x14612)+E(f623(x14611,x14613,x14614),f623(x14612,x14613,x14614))
% 149.08/148.76 [1462]~E(x14621,x14622)+E(f623(x14623,x14621,x14624),f623(x14623,x14622,x14624))
% 149.08/148.76 [1463]~E(x14631,x14632)+E(f623(x14633,x14634,x14631),f623(x14633,x14634,x14632))
% 149.08/148.76 [1464]~E(x14641,x14642)+E(f673(x14641,x14643,x14644,x14645,x14646,x14647),f673(x14642,x14643,x14644,x14645,x14646,x14647))
% 149.08/148.76 [1465]~E(x14651,x14652)+E(f673(x14653,x14651,x14654,x14655,x14656,x14657),f673(x14653,x14652,x14654,x14655,x14656,x14657))
% 149.08/148.76 [1466]~E(x14661,x14662)+E(f673(x14663,x14664,x14661,x14665,x14666,x14667),f673(x14663,x14664,x14662,x14665,x14666,x14667))
% 149.08/148.76 [1467]~E(x14671,x14672)+E(f673(x14673,x14674,x14675,x14671,x14676,x14677),f673(x14673,x14674,x14675,x14672,x14676,x14677))
% 149.08/148.76 [1468]~E(x14681,x14682)+E(f673(x14683,x14684,x14685,x14686,x14681,x14687),f673(x14683,x14684,x14685,x14686,x14682,x14687))
% 149.08/148.76 [1469]~E(x14691,x14692)+E(f673(x14693,x14694,x14695,x14696,x14697,x14691),f673(x14693,x14694,x14695,x14696,x14697,x14692))
% 149.08/148.76 [1470]~E(x14701,x14702)+E(f819(x14701,x14703,x14704),f819(x14702,x14703,x14704))
% 149.08/148.76 [1471]~E(x14711,x14712)+E(f819(x14713,x14711,x14714),f819(x14713,x14712,x14714))
% 149.08/148.76 [1472]~E(x14721,x14722)+E(f819(x14723,x14724,x14721),f819(x14723,x14724,x14722))
% 149.08/148.76 [1473]~E(x14731,x14732)+E(f388(x14731,x14733),f388(x14732,x14733))
% 149.08/148.76 [1474]~E(x14741,x14742)+E(f388(x14743,x14741),f388(x14743,x14742))
% 149.08/148.76 [1475]~E(x14751,x14752)+E(f631(x14751,x14753,x14754),f631(x14752,x14753,x14754))
% 149.08/148.76 [1476]~E(x14761,x14762)+E(f631(x14763,x14761,x14764),f631(x14763,x14762,x14764))
% 149.08/148.76 [1477]~E(x14771,x14772)+E(f631(x14773,x14774,x14771),f631(x14773,x14774,x14772))
% 149.08/148.76 [1478]~E(x14781,x14782)+E(f443(x14781,x14783),f443(x14782,x14783))
% 149.08/148.76 [1479]~E(x14791,x14792)+E(f443(x14793,x14791),f443(x14793,x14792))
% 149.08/148.76 [1480]~E(x14801,x14802)+E(f564(x14801,x14803,x14804,x14805),f564(x14802,x14803,x14804,x14805))
% 149.08/148.76 [1481]~E(x14811,x14812)+E(f564(x14813,x14811,x14814,x14815),f564(x14813,x14812,x14814,x14815))
% 149.08/148.76 [1482]~E(x14821,x14822)+E(f564(x14823,x14824,x14821,x14825),f564(x14823,x14824,x14822,x14825))
% 149.08/148.76 [1483]~E(x14831,x14832)+E(f564(x14833,x14834,x14835,x14831),f564(x14833,x14834,x14835,x14832))
% 149.08/148.76 [1484]~E(x14841,x14842)+E(f353(x14841,x14843,x14844,x14845,x14846),f353(x14842,x14843,x14844,x14845,x14846))
% 149.08/148.76 [1485]~E(x14851,x14852)+E(f353(x14853,x14851,x14854,x14855,x14856),f353(x14853,x14852,x14854,x14855,x14856))
% 149.08/148.76 [1486]~E(x14861,x14862)+E(f353(x14863,x14864,x14861,x14865,x14866),f353(x14863,x14864,x14862,x14865,x14866))
% 149.08/148.76 [1487]~E(x14871,x14872)+E(f353(x14873,x14874,x14875,x14871,x14876),f353(x14873,x14874,x14875,x14872,x14876))
% 149.08/148.76 [1488]~E(x14881,x14882)+E(f353(x14883,x14884,x14885,x14886,x14881),f353(x14883,x14884,x14885,x14886,x14882))
% 149.08/148.76 [1489]~E(x14891,x14892)+E(f601(x14891,x14893),f601(x14892,x14893))
% 149.08/148.76 [1490]~E(x14901,x14902)+E(f601(x14903,x14901),f601(x14903,x14902))
% 149.08/148.76 [1491]~E(x14911,x14912)+E(f407(x14911,x14913,x14914,x14915),f407(x14912,x14913,x14914,x14915))
% 149.08/148.76 [1492]~E(x14921,x14922)+E(f407(x14923,x14921,x14924,x14925),f407(x14923,x14922,x14924,x14925))
% 149.08/148.76 [1493]~E(x14931,x14932)+E(f407(x14933,x14934,x14931,x14935),f407(x14933,x14934,x14932,x14935))
% 149.08/148.76 [1494]~E(x14941,x14942)+E(f407(x14943,x14944,x14945,x14941),f407(x14943,x14944,x14945,x14942))
% 149.08/148.76 [1495]~E(x14951,x14952)+E(f646(x14951,x14953,x14954),f646(x14952,x14953,x14954))
% 149.08/148.76 [1496]~E(x14961,x14962)+E(f646(x14963,x14961,x14964),f646(x14963,x14962,x14964))
% 149.08/148.76 [1497]~E(x14971,x14972)+E(f646(x14973,x14974,x14971),f646(x14973,x14974,x14972))
% 149.08/148.76 [1498]~E(x14981,x14982)+E(f529(x14981,x14983,x14984),f529(x14982,x14983,x14984))
% 149.08/148.76 [1499]~E(x14991,x14992)+E(f529(x14993,x14991,x14994),f529(x14993,x14992,x14994))
% 149.08/148.76 [1500]~E(x15001,x15002)+E(f529(x15003,x15004,x15001),f529(x15003,x15004,x15002))
% 149.08/148.76 [1501]~E(x15011,x15012)+E(f336(x15011,x15013,x15014,x15015,x15016),f336(x15012,x15013,x15014,x15015,x15016))
% 149.08/148.76 [1502]~E(x15021,x15022)+E(f336(x15023,x15021,x15024,x15025,x15026),f336(x15023,x15022,x15024,x15025,x15026))
% 149.08/148.76 [1503]~E(x15031,x15032)+E(f336(x15033,x15034,x15031,x15035,x15036),f336(x15033,x15034,x15032,x15035,x15036))
% 149.08/148.76 [1504]~E(x15041,x15042)+E(f336(x15043,x15044,x15045,x15041,x15046),f336(x15043,x15044,x15045,x15042,x15046))
% 149.08/148.76 [1505]~E(x15051,x15052)+E(f336(x15053,x15054,x15055,x15056,x15051),f336(x15053,x15054,x15055,x15056,x15052))
% 149.08/148.76 [1506]~E(x15061,x15062)+E(f773(x15061,x15063,x15064),f773(x15062,x15063,x15064))
% 149.08/148.76 [1507]~E(x15071,x15072)+E(f773(x15073,x15071,x15074),f773(x15073,x15072,x15074))
% 149.08/148.76 [1508]~E(x15081,x15082)+E(f773(x15083,x15084,x15081),f773(x15083,x15084,x15082))
% 149.08/148.77 [1509]~E(x15091,x15092)+E(f405(x15091,x15093,x15094,x15095),f405(x15092,x15093,x15094,x15095))
% 149.08/148.77 [1510]~E(x15101,x15102)+E(f405(x15103,x15101,x15104,x15105),f405(x15103,x15102,x15104,x15105))
% 149.08/148.77 [1511]~E(x15111,x15112)+E(f405(x15113,x15114,x15111,x15115),f405(x15113,x15114,x15112,x15115))
% 149.08/148.77 [1512]~E(x15121,x15122)+E(f405(x15123,x15124,x15125,x15121),f405(x15123,x15124,x15125,x15122))
% 149.08/148.77 [1513]~E(x15131,x15132)+E(f772(x15131,x15133),f772(x15132,x15133))
% 149.08/148.77 [1514]~E(x15141,x15142)+E(f772(x15143,x15141),f772(x15143,x15142))
% 149.08/148.77 [1515]~E(x15151,x15152)+E(f309(x15151,x15153,x15154),f309(x15152,x15153,x15154))
% 149.08/148.77 [1516]~E(x15161,x15162)+E(f309(x15163,x15161,x15164),f309(x15163,x15162,x15164))
% 149.08/148.77 [1517]~E(x15171,x15172)+E(f309(x15173,x15174,x15171),f309(x15173,x15174,x15172))
% 149.08/148.77 [1518]~E(x15181,x15182)+E(f637(x15181,x15183,x15184),f637(x15182,x15183,x15184))
% 149.08/148.77 [1519]~E(x15191,x15192)+E(f637(x15193,x15191,x15194),f637(x15193,x15192,x15194))
% 149.08/148.77 [1520]~E(x15201,x15202)+E(f637(x15203,x15204,x15201),f637(x15203,x15204,x15202))
% 149.08/148.77 [1521]~E(x15211,x15212)+E(f428(x15211),f428(x15212))
% 149.08/148.77 [1522]~E(x15221,x15222)+E(f671(x15221,x15223,x15224,x15225,x15226,x15227),f671(x15222,x15223,x15224,x15225,x15226,x15227))
% 149.08/148.77 [1523]~E(x15231,x15232)+E(f671(x15233,x15231,x15234,x15235,x15236,x15237),f671(x15233,x15232,x15234,x15235,x15236,x15237))
% 149.08/148.77 [1524]~E(x15241,x15242)+E(f671(x15243,x15244,x15241,x15245,x15246,x15247),f671(x15243,x15244,x15242,x15245,x15246,x15247))
% 149.08/148.77 [1525]~E(x15251,x15252)+E(f671(x15253,x15254,x15255,x15251,x15256,x15257),f671(x15253,x15254,x15255,x15252,x15256,x15257))
% 149.08/148.77 [1526]~E(x15261,x15262)+E(f671(x15263,x15264,x15265,x15266,x15261,x15267),f671(x15263,x15264,x15265,x15266,x15262,x15267))
% 149.08/148.77 [1527]~E(x15271,x15272)+E(f671(x15273,x15274,x15275,x15276,x15277,x15271),f671(x15273,x15274,x15275,x15276,x15277,x15272))
% 149.08/148.77 [1528]~E(x15281,x15282)+E(f421(x15281,x15283),f421(x15282,x15283))
% 149.08/148.77 [1529]~E(x15291,x15292)+E(f421(x15293,x15291),f421(x15293,x15292))
% 149.08/148.77 [1530]~E(x15301,x15302)+E(f642(x15301,x15303),f642(x15302,x15303))
% 149.08/148.77 [1531]~E(x15311,x15312)+E(f642(x15313,x15311),f642(x15313,x15312))
% 149.08/148.77 [1532]~E(x15321,x15322)+E(f242(x15321,x15323),f242(x15322,x15323))
% 149.08/148.77 [1533]~E(x15331,x15332)+E(f242(x15333,x15331),f242(x15333,x15332))
% 149.08/148.77 [1534]~E(x15341,x15342)+E(f422(x15341,x15343,x15344,x15345),f422(x15342,x15343,x15344,x15345))
% 149.08/148.77 [1535]~E(x15351,x15352)+E(f422(x15353,x15351,x15354,x15355),f422(x15353,x15352,x15354,x15355))
% 149.08/148.77 [1536]~E(x15361,x15362)+E(f422(x15363,x15364,x15361,x15365),f422(x15363,x15364,x15362,x15365))
% 149.08/148.77 [1537]~E(x15371,x15372)+E(f422(x15373,x15374,x15375,x15371),f422(x15373,x15374,x15375,x15372))
% 149.08/148.77 [1538]~E(x15381,x15382)+E(f653(x15381,x15383,x15384,x15385,x15386),f653(x15382,x15383,x15384,x15385,x15386))
% 149.08/148.77 [1539]~E(x15391,x15392)+E(f653(x15393,x15391,x15394,x15395,x15396),f653(x15393,x15392,x15394,x15395,x15396))
% 149.08/148.77 [1540]~E(x15401,x15402)+E(f653(x15403,x15404,x15401,x15405,x15406),f653(x15403,x15404,x15402,x15405,x15406))
% 149.08/148.77 [1541]~E(x15411,x15412)+E(f653(x15413,x15414,x15415,x15411,x15416),f653(x15413,x15414,x15415,x15412,x15416))
% 149.08/148.77 [1542]~E(x15421,x15422)+E(f653(x15423,x15424,x15425,x15426,x15421),f653(x15423,x15424,x15425,x15426,x15422))
% 149.08/148.77 [1543]~E(x15431,x15432)+E(f476(x15431,x15433,x15434),f476(x15432,x15433,x15434))
% 149.08/148.77 [1544]~E(x15441,x15442)+E(f476(x15443,x15441,x15444),f476(x15443,x15442,x15444))
% 149.08/148.77 [1545]~E(x15451,x15452)+E(f476(x15453,x15454,x15451),f476(x15453,x15454,x15452))
% 149.08/148.77 [1546]~E(x15461,x15462)+E(f695(x15461,x15463,x15464),f695(x15462,x15463,x15464))
% 149.08/148.77 [1547]~E(x15471,x15472)+E(f695(x15473,x15471,x15474),f695(x15473,x15472,x15474))
% 149.08/148.77 [1548]~E(x15481,x15482)+E(f695(x15483,x15484,x15481),f695(x15483,x15484,x15482))
% 149.08/148.77 [1549]~E(x15491,x15492)+E(f624(x15491,x15493,x15494,x15495,x15496,x15497),f624(x15492,x15493,x15494,x15495,x15496,x15497))
% 149.08/148.77 [1550]~E(x15501,x15502)+E(f624(x15503,x15501,x15504,x15505,x15506,x15507),f624(x15503,x15502,x15504,x15505,x15506,x15507))
% 149.08/148.77 [1551]~E(x15511,x15512)+E(f624(x15513,x15514,x15511,x15515,x15516,x15517),f624(x15513,x15514,x15512,x15515,x15516,x15517))
% 149.08/148.77 [1552]~E(x15521,x15522)+E(f624(x15523,x15524,x15525,x15521,x15526,x15527),f624(x15523,x15524,x15525,x15522,x15526,x15527))
% 149.08/148.77 [1553]~E(x15531,x15532)+E(f624(x15533,x15534,x15535,x15536,x15531,x15537),f624(x15533,x15534,x15535,x15536,x15532,x15537))
% 149.08/148.77 [1554]~E(x15541,x15542)+E(f624(x15543,x15544,x15545,x15546,x15547,x15541),f624(x15543,x15544,x15545,x15546,x15547,x15542))
% 149.08/148.77 [1555]~E(x15551,x15552)+E(f679(x15551,x15553,x15554,x15555,x15556),f679(x15552,x15553,x15554,x15555,x15556))
% 149.08/148.77 [1556]~E(x15561,x15562)+E(f679(x15563,x15561,x15564,x15565,x15566),f679(x15563,x15562,x15564,x15565,x15566))
% 149.08/148.77 [1557]~E(x15571,x15572)+E(f679(x15573,x15574,x15571,x15575,x15576),f679(x15573,x15574,x15572,x15575,x15576))
% 149.08/148.77 [1558]~E(x15581,x15582)+E(f679(x15583,x15584,x15585,x15581,x15586),f679(x15583,x15584,x15585,x15582,x15586))
% 149.08/148.77 [1559]~E(x15591,x15592)+E(f679(x15593,x15594,x15595,x15596,x15591),f679(x15593,x15594,x15595,x15596,x15592))
% 149.08/148.77 [1560]~E(x15601,x15602)+E(f215(x15601,x15603,x15604,x15605),f215(x15602,x15603,x15604,x15605))
% 149.08/148.77 [1561]~E(x15611,x15612)+E(f215(x15613,x15611,x15614,x15615),f215(x15613,x15612,x15614,x15615))
% 149.08/148.77 [1562]~E(x15621,x15622)+E(f215(x15623,x15624,x15621,x15625),f215(x15623,x15624,x15622,x15625))
% 149.08/148.77 [1563]~E(x15631,x15632)+E(f215(x15633,x15634,x15635,x15631),f215(x15633,x15634,x15635,x15632))
% 149.08/148.77 [1564]~E(x15641,x15642)+E(f362(x15641,x15643,x15644),f362(x15642,x15643,x15644))
% 149.08/148.77 [1565]~E(x15651,x15652)+E(f362(x15653,x15651,x15654),f362(x15653,x15652,x15654))
% 149.08/148.77 [1566]~E(x15661,x15662)+E(f362(x15663,x15664,x15661),f362(x15663,x15664,x15662))
% 149.08/148.77 [1567]~E(x15671,x15672)+E(f548(x15671,x15673,x15674,x15675,x15676,x15677,x15678),f548(x15672,x15673,x15674,x15675,x15676,x15677,x15678))
% 149.08/148.77 [1568]~E(x15681,x15682)+E(f548(x15683,x15681,x15684,x15685,x15686,x15687,x15688),f548(x15683,x15682,x15684,x15685,x15686,x15687,x15688))
% 149.08/148.77 [1569]~E(x15691,x15692)+E(f548(x15693,x15694,x15691,x15695,x15696,x15697,x15698),f548(x15693,x15694,x15692,x15695,x15696,x15697,x15698))
% 149.08/148.77 [1570]~E(x15701,x15702)+E(f548(x15703,x15704,x15705,x15701,x15706,x15707,x15708),f548(x15703,x15704,x15705,x15702,x15706,x15707,x15708))
% 149.08/148.77 [1571]~E(x15711,x15712)+E(f548(x15713,x15714,x15715,x15716,x15711,x15717,x15718),f548(x15713,x15714,x15715,x15716,x15712,x15717,x15718))
% 149.08/148.77 [1572]~E(x15721,x15722)+E(f548(x15723,x15724,x15725,x15726,x15727,x15721,x15728),f548(x15723,x15724,x15725,x15726,x15727,x15722,x15728))
% 149.08/148.77 [1573]~E(x15731,x15732)+E(f548(x15733,x15734,x15735,x15736,x15737,x15738,x15731),f548(x15733,x15734,x15735,x15736,x15737,x15738,x15732))
% 149.08/148.77 [1574]~E(x15741,x15742)+E(f307(x15741,x15743),f307(x15742,x15743))
% 149.08/148.77 [1575]~E(x15751,x15752)+E(f307(x15753,x15751),f307(x15753,x15752))
% 149.08/148.77 [1576]~E(x15761,x15762)+E(f833(x15761,x15763,x15764,x15765,x15766),f833(x15762,x15763,x15764,x15765,x15766))
% 149.08/148.77 [1577]~E(x15771,x15772)+E(f833(x15773,x15771,x15774,x15775,x15776),f833(x15773,x15772,x15774,x15775,x15776))
% 149.08/148.77 [1578]~E(x15781,x15782)+E(f833(x15783,x15784,x15781,x15785,x15786),f833(x15783,x15784,x15782,x15785,x15786))
% 149.08/148.77 [1579]~E(x15791,x15792)+E(f833(x15793,x15794,x15795,x15791,x15796),f833(x15793,x15794,x15795,x15792,x15796))
% 149.08/148.77 [1580]~E(x15801,x15802)+E(f833(x15803,x15804,x15805,x15806,x15801),f833(x15803,x15804,x15805,x15806,x15802))
% 149.08/148.77 [1581]~E(x15811,x15812)+E(f739(x15811,x15813,x15814),f739(x15812,x15813,x15814))
% 149.08/148.77 [1582]~E(x15821,x15822)+E(f739(x15823,x15821,x15824),f739(x15823,x15822,x15824))
% 149.08/148.77 [1583]~E(x15831,x15832)+E(f739(x15833,x15834,x15831),f739(x15833,x15834,x15832))
% 149.08/148.77 [1584]~E(x15841,x15842)+E(f528(x15841,x15843,x15844,x15845),f528(x15842,x15843,x15844,x15845))
% 149.08/148.77 [1585]~E(x15851,x15852)+E(f528(x15853,x15851,x15854,x15855),f528(x15853,x15852,x15854,x15855))
% 149.08/148.77 [1586]~E(x15861,x15862)+E(f528(x15863,x15864,x15861,x15865),f528(x15863,x15864,x15862,x15865))
% 149.08/148.77 [1587]~E(x15871,x15872)+E(f528(x15873,x15874,x15875,x15871),f528(x15873,x15874,x15875,x15872))
% 149.08/148.77 [1588]~E(x15881,x15882)+E(f363(x15881,x15883,x15884,x15885,x15886),f363(x15882,x15883,x15884,x15885,x15886))
% 149.08/148.77 [1589]~E(x15891,x15892)+E(f363(x15893,x15891,x15894,x15895,x15896),f363(x15893,x15892,x15894,x15895,x15896))
% 149.08/148.77 [1590]~E(x15901,x15902)+E(f363(x15903,x15904,x15901,x15905,x15906),f363(x15903,x15904,x15902,x15905,x15906))
% 149.08/148.77 [1591]~E(x15911,x15912)+E(f363(x15913,x15914,x15915,x15911,x15916),f363(x15913,x15914,x15915,x15912,x15916))
% 149.08/148.77 [1592]~E(x15921,x15922)+E(f363(x15923,x15924,x15925,x15926,x15921),f363(x15923,x15924,x15925,x15926,x15922))
% 149.08/148.77 [1593]~E(x15931,x15932)+E(f446(x15931,x15933,x15934,x15935),f446(x15932,x15933,x15934,x15935))
% 149.08/148.77 [1594]~E(x15941,x15942)+E(f446(x15943,x15941,x15944,x15945),f446(x15943,x15942,x15944,x15945))
% 149.08/148.77 [1595]~E(x15951,x15952)+E(f446(x15953,x15954,x15951,x15955),f446(x15953,x15954,x15952,x15955))
% 149.08/148.77 [1596]~E(x15961,x15962)+E(f446(x15963,x15964,x15965,x15961),f446(x15963,x15964,x15965,x15962))
% 149.08/148.77 [1597]~E(x15971,x15972)+E(f686(x15971,x15973,x15974),f686(x15972,x15973,x15974))
% 149.08/148.77 [1598]~E(x15981,x15982)+E(f686(x15983,x15981,x15984),f686(x15983,x15982,x15984))
% 149.08/148.77 [1599]~E(x15991,x15992)+E(f686(x15993,x15994,x15991),f686(x15993,x15994,x15992))
% 149.08/148.77 [1600]~E(x16001,x16002)+E(f271(x16001),f271(x16002))
% 149.08/148.77 [1601]~E(x16011,x16012)+E(f855(x16011,x16013,x16014),f855(x16012,x16013,x16014))
% 149.08/148.77 [1602]~E(x16021,x16022)+E(f855(x16023,x16021,x16024),f855(x16023,x16022,x16024))
% 149.08/148.77 [1603]~E(x16031,x16032)+E(f855(x16033,x16034,x16031),f855(x16033,x16034,x16032))
% 149.08/148.77 [1604]~E(x16041,x16042)+E(f792(x16041,x16043,x16044),f792(x16042,x16043,x16044))
% 149.08/148.77 [1605]~E(x16051,x16052)+E(f792(x16053,x16051,x16054),f792(x16053,x16052,x16054))
% 149.08/148.77 [1606]~E(x16061,x16062)+E(f792(x16063,x16064,x16061),f792(x16063,x16064,x16062))
% 149.08/148.77 [1607]~E(x16071,x16072)+E(f563(x16071,x16073,x16074,x16075),f563(x16072,x16073,x16074,x16075))
% 149.08/148.77 [1608]~E(x16081,x16082)+E(f563(x16083,x16081,x16084,x16085),f563(x16083,x16082,x16084,x16085))
% 149.08/148.77 [1609]~E(x16091,x16092)+E(f563(x16093,x16094,x16091,x16095),f563(x16093,x16094,x16092,x16095))
% 149.08/148.77 [1610]~E(x16101,x16102)+E(f563(x16103,x16104,x16105,x16101),f563(x16103,x16104,x16105,x16102))
% 149.08/148.77 [1611]~E(x16111,x16112)+E(f665(x16111,x16113,x16114,x16115,x16116,x16117),f665(x16112,x16113,x16114,x16115,x16116,x16117))
% 149.08/148.77 [1612]~E(x16121,x16122)+E(f665(x16123,x16121,x16124,x16125,x16126,x16127),f665(x16123,x16122,x16124,x16125,x16126,x16127))
% 149.08/148.77 [1613]~E(x16131,x16132)+E(f665(x16133,x16134,x16131,x16135,x16136,x16137),f665(x16133,x16134,x16132,x16135,x16136,x16137))
% 149.08/148.77 [1614]~E(x16141,x16142)+E(f665(x16143,x16144,x16145,x16141,x16146,x16147),f665(x16143,x16144,x16145,x16142,x16146,x16147))
% 149.08/148.77 [1615]~E(x16151,x16152)+E(f665(x16153,x16154,x16155,x16156,x16151,x16157),f665(x16153,x16154,x16155,x16156,x16152,x16157))
% 149.08/148.77 [1616]~E(x16161,x16162)+E(f665(x16163,x16164,x16165,x16166,x16167,x16161),f665(x16163,x16164,x16165,x16166,x16167,x16162))
% 149.08/148.77 [1617]~E(x16171,x16172)+E(f556(x16171,x16173,x16174,x16175,x16176,x16177),f556(x16172,x16173,x16174,x16175,x16176,x16177))
% 149.08/148.77 [1618]~E(x16181,x16182)+E(f556(x16183,x16181,x16184,x16185,x16186,x16187),f556(x16183,x16182,x16184,x16185,x16186,x16187))
% 149.08/148.77 [1619]~E(x16191,x16192)+E(f556(x16193,x16194,x16191,x16195,x16196,x16197),f556(x16193,x16194,x16192,x16195,x16196,x16197))
% 149.08/148.77 [1620]~E(x16201,x16202)+E(f556(x16203,x16204,x16205,x16201,x16206,x16207),f556(x16203,x16204,x16205,x16202,x16206,x16207))
% 149.08/148.77 [1621]~E(x16211,x16212)+E(f556(x16213,x16214,x16215,x16216,x16211,x16217),f556(x16213,x16214,x16215,x16216,x16212,x16217))
% 149.08/148.77 [1622]~E(x16221,x16222)+E(f556(x16223,x16224,x16225,x16226,x16227,x16221),f556(x16223,x16224,x16225,x16226,x16227,x16222))
% 149.08/148.77 [1623]~E(x16231,x16232)+E(f576(x16231,x16233,x16234,x16235),f576(x16232,x16233,x16234,x16235))
% 149.08/148.77 [1624]~E(x16241,x16242)+E(f576(x16243,x16241,x16244,x16245),f576(x16243,x16242,x16244,x16245))
% 149.08/148.77 [1625]~E(x16251,x16252)+E(f576(x16253,x16254,x16251,x16255),f576(x16253,x16254,x16252,x16255))
% 149.08/148.77 [1626]~E(x16261,x16262)+E(f576(x16263,x16264,x16265,x16261),f576(x16263,x16264,x16265,x16262))
% 149.08/148.77 [1627]~E(x16271,x16272)+E(f539(x16271,x16273,x16274,x16275,x16276),f539(x16272,x16273,x16274,x16275,x16276))
% 149.08/148.77 [1628]~E(x16281,x16282)+E(f539(x16283,x16281,x16284,x16285,x16286),f539(x16283,x16282,x16284,x16285,x16286))
% 149.08/148.77 [1629]~E(x16291,x16292)+E(f539(x16293,x16294,x16291,x16295,x16296),f539(x16293,x16294,x16292,x16295,x16296))
% 149.08/148.77 [1630]~E(x16301,x16302)+E(f539(x16303,x16304,x16305,x16301,x16306),f539(x16303,x16304,x16305,x16302,x16306))
% 149.08/148.77 [1631]~E(x16311,x16312)+E(f539(x16313,x16314,x16315,x16316,x16311),f539(x16313,x16314,x16315,x16316,x16312))
% 149.08/148.77 [1632]~E(x16321,x16322)+E(f729(x16321,x16323,x16324),f729(x16322,x16323,x16324))
% 149.08/148.77 [1633]~E(x16331,x16332)+E(f729(x16333,x16331,x16334),f729(x16333,x16332,x16334))
% 149.08/148.77 [1634]~E(x16341,x16342)+E(f729(x16343,x16344,x16341),f729(x16343,x16344,x16342))
% 149.08/148.77 [1635]~E(x16351,x16352)+E(f709(x16351,x16353,x16354,x16355),f709(x16352,x16353,x16354,x16355))
% 149.08/148.77 [1636]~E(x16361,x16362)+E(f709(x16363,x16361,x16364,x16365),f709(x16363,x16362,x16364,x16365))
% 149.08/148.77 [1637]~E(x16371,x16372)+E(f709(x16373,x16374,x16371,x16375),f709(x16373,x16374,x16372,x16375))
% 149.08/148.77 [1638]~E(x16381,x16382)+E(f709(x16383,x16384,x16385,x16381),f709(x16383,x16384,x16385,x16382))
% 149.08/148.77 [1639]~E(x16391,x16392)+E(f685(x16391,x16393),f685(x16392,x16393))
% 149.08/148.77 [1640]~E(x16401,x16402)+E(f685(x16403,x16401),f685(x16403,x16402))
% 149.08/148.77 [1641]~E(x16411,x16412)+E(f702(x16411,x16413,x16414,x16415),f702(x16412,x16413,x16414,x16415))
% 149.08/148.77 [1642]~E(x16421,x16422)+E(f702(x16423,x16421,x16424,x16425),f702(x16423,x16422,x16424,x16425))
% 149.08/148.77 [1643]~E(x16431,x16432)+E(f702(x16433,x16434,x16431,x16435),f702(x16433,x16434,x16432,x16435))
% 149.08/148.77 [1644]~E(x16441,x16442)+E(f702(x16443,x16444,x16445,x16441),f702(x16443,x16444,x16445,x16442))
% 149.08/148.77 [1645]~E(x16451,x16452)+E(f693(x16451,x16453,x16454),f693(x16452,x16453,x16454))
% 149.08/148.77 [1646]~E(x16461,x16462)+E(f693(x16463,x16461,x16464),f693(x16463,x16462,x16464))
% 149.08/148.77 [1647]~E(x16471,x16472)+E(f693(x16473,x16474,x16471),f693(x16473,x16474,x16472))
% 149.08/148.77 [1648]~E(x16481,x16482)+E(f289(x16481,x16483,x16484),f289(x16482,x16483,x16484))
% 149.08/148.77 [1649]~E(x16491,x16492)+E(f289(x16493,x16491,x16494),f289(x16493,x16492,x16494))
% 149.08/148.77 [1650]~E(x16501,x16502)+E(f289(x16503,x16504,x16501),f289(x16503,x16504,x16502))
% 149.08/148.77 [1651]~E(x16511,x16512)+E(f530(x16511,x16513,x16514),f530(x16512,x16513,x16514))
% 149.08/148.77 [1652]~E(x16521,x16522)+E(f530(x16523,x16521,x16524),f530(x16523,x16522,x16524))
% 149.08/148.77 [1653]~E(x16531,x16532)+E(f530(x16533,x16534,x16531),f530(x16533,x16534,x16532))
% 149.08/148.77 [1654]~E(x16541,x16542)+E(f75(x16541,x16543),f75(x16542,x16543))
% 149.08/148.77 [1655]~E(x16551,x16552)+E(f75(x16553,x16551),f75(x16553,x16552))
% 149.08/148.77 [1656]~E(x16561,x16562)+E(f392(x16561,x16563),f392(x16562,x16563))
% 149.08/148.77 [1657]~E(x16571,x16572)+E(f392(x16573,x16571),f392(x16573,x16572))
% 149.08/148.77 [1658]~E(x16581,x16582)+E(f777(x16581,x16583,x16584,x16585),f777(x16582,x16583,x16584,x16585))
% 149.08/148.77 [1659]~E(x16591,x16592)+E(f777(x16593,x16591,x16594,x16595),f777(x16593,x16592,x16594,x16595))
% 149.08/148.77 [1660]~E(x16601,x16602)+E(f777(x16603,x16604,x16601,x16605),f777(x16603,x16604,x16602,x16605))
% 149.08/148.77 [1661]~E(x16611,x16612)+E(f777(x16613,x16614,x16615,x16611),f777(x16613,x16614,x16615,x16612))
% 149.08/148.77 [1662]~E(x16621,x16622)+E(f331(x16621),f331(x16622))
% 149.08/148.77 [1663]~E(x16631,x16632)+E(f676(x16631,x16633,x16634,x16635,x16636),f676(x16632,x16633,x16634,x16635,x16636))
% 149.08/148.77 [1664]~E(x16641,x16642)+E(f676(x16643,x16641,x16644,x16645,x16646),f676(x16643,x16642,x16644,x16645,x16646))
% 149.08/148.77 [1665]~E(x16651,x16652)+E(f676(x16653,x16654,x16651,x16655,x16656),f676(x16653,x16654,x16652,x16655,x16656))
% 149.08/148.77 [1666]~E(x16661,x16662)+E(f676(x16663,x16664,x16665,x16661,x16666),f676(x16663,x16664,x16665,x16662,x16666))
% 149.08/148.77 [1667]~E(x16671,x16672)+E(f676(x16673,x16674,x16675,x16676,x16671),f676(x16673,x16674,x16675,x16676,x16672))
% 149.08/148.77 [1668]~E(x16681,x16682)+E(f500(x16681,x16683),f500(x16682,x16683))
% 149.08/148.77 [1669]~E(x16691,x16692)+E(f500(x16693,x16691),f500(x16693,x16692))
% 149.08/148.77 [1670]~E(x16701,x16702)+E(f744(x16701,x16703),f744(x16702,x16703))
% 149.08/148.77 [1671]~E(x16711,x16712)+E(f744(x16713,x16711),f744(x16713,x16712))
% 149.08/148.77 [1672]~E(x16721,x16722)+E(f683(x16721,x16723),f683(x16722,x16723))
% 149.08/148.77 [1673]~E(x16731,x16732)+E(f683(x16733,x16731),f683(x16733,x16732))
% 149.08/148.77 [1674]~E(x16741,x16742)+E(f565(x16741,x16743,x16744,x16745),f565(x16742,x16743,x16744,x16745))
% 149.08/148.77 [1675]~E(x16751,x16752)+E(f565(x16753,x16751,x16754,x16755),f565(x16753,x16752,x16754,x16755))
% 149.08/148.77 [1676]~E(x16761,x16762)+E(f565(x16763,x16764,x16761,x16765),f565(x16763,x16764,x16762,x16765))
% 149.08/148.77 [1677]~E(x16771,x16772)+E(f565(x16773,x16774,x16775,x16771),f565(x16773,x16774,x16775,x16772))
% 149.08/148.77 [1678]~E(x16781,x16782)+E(f725(x16781,x16783),f725(x16782,x16783))
% 149.08/148.77 [1679]~E(x16791,x16792)+E(f725(x16793,x16791),f725(x16793,x16792))
% 149.08/148.77 [1680]~E(x16801,x16802)+E(f223(x16801,x16803),f223(x16802,x16803))
% 149.08/148.77 [1681]~E(x16811,x16812)+E(f223(x16813,x16811),f223(x16813,x16812))
% 149.08/148.77 [1682]~E(x16821,x16822)+E(f483(x16821,x16823,x16824,x16825,x16826),f483(x16822,x16823,x16824,x16825,x16826))
% 149.08/148.77 [1683]~E(x16831,x16832)+E(f483(x16833,x16831,x16834,x16835,x16836),f483(x16833,x16832,x16834,x16835,x16836))
% 149.08/148.77 [1684]~E(x16841,x16842)+E(f483(x16843,x16844,x16841,x16845,x16846),f483(x16843,x16844,x16842,x16845,x16846))
% 149.08/148.77 [1685]~E(x16851,x16852)+E(f483(x16853,x16854,x16855,x16851,x16856),f483(x16853,x16854,x16855,x16852,x16856))
% 149.08/148.77 [1686]~E(x16861,x16862)+E(f483(x16863,x16864,x16865,x16866,x16861),f483(x16863,x16864,x16865,x16866,x16862))
% 149.08/148.77 [1687]~E(x16871,x16872)+E(f352(x16871,x16873,x16874,x16875),f352(x16872,x16873,x16874,x16875))
% 149.08/148.77 [1688]~E(x16881,x16882)+E(f352(x16883,x16881,x16884,x16885),f352(x16883,x16882,x16884,x16885))
% 149.08/148.77 [1689]~E(x16891,x16892)+E(f352(x16893,x16894,x16891,x16895),f352(x16893,x16894,x16892,x16895))
% 149.08/148.77 [1690]~E(x16901,x16902)+E(f352(x16903,x16904,x16905,x16901),f352(x16903,x16904,x16905,x16902))
% 149.08/148.77 [1691]~E(x16911,x16912)+E(f294(x16911,x16913,x16914,x16915,x16916),f294(x16912,x16913,x16914,x16915,x16916))
% 149.08/148.77 [1692]~E(x16921,x16922)+E(f294(x16923,x16921,x16924,x16925,x16926),f294(x16923,x16922,x16924,x16925,x16926))
% 149.08/148.77 [1693]~E(x16931,x16932)+E(f294(x16933,x16934,x16931,x16935,x16936),f294(x16933,x16934,x16932,x16935,x16936))
% 149.08/148.77 [1694]~E(x16941,x16942)+E(f294(x16943,x16944,x16945,x16941,x16946),f294(x16943,x16944,x16945,x16942,x16946))
% 149.08/148.77 [1695]~E(x16951,x16952)+E(f294(x16953,x16954,x16955,x16956,x16951),f294(x16953,x16954,x16955,x16956,x16952))
% 149.08/148.77 [1696]~E(x16961,x16962)+E(f771(x16961),f771(x16962))
% 149.08/148.77 [1697]~E(x16971,x16972)+E(f485(x16971,x16973,x16974,x16975,x16976),f485(x16972,x16973,x16974,x16975,x16976))
% 149.08/148.77 [1698]~E(x16981,x16982)+E(f485(x16983,x16981,x16984,x16985,x16986),f485(x16983,x16982,x16984,x16985,x16986))
% 149.08/148.77 [1699]~E(x16991,x16992)+E(f485(x16993,x16994,x16991,x16995,x16996),f485(x16993,x16994,x16992,x16995,x16996))
% 149.08/148.77 [1700]~E(x17001,x17002)+E(f485(x17003,x17004,x17005,x17001,x17006),f485(x17003,x17004,x17005,x17002,x17006))
% 149.08/148.77 [1701]~E(x17011,x17012)+E(f485(x17013,x17014,x17015,x17016,x17011),f485(x17013,x17014,x17015,x17016,x17012))
% 149.08/148.77 [1702]~E(x17021,x17022)+E(f272(x17021,x17023),f272(x17022,x17023))
% 149.08/148.77 [1703]~E(x17031,x17032)+E(f272(x17033,x17031),f272(x17033,x17032))
% 149.08/148.77 [1704]~E(x17041,x17042)+E(f292(x17041,x17043,x17044),f292(x17042,x17043,x17044))
% 149.08/148.77 [1705]~E(x17051,x17052)+E(f292(x17053,x17051,x17054),f292(x17053,x17052,x17054))
% 149.08/148.77 [1706]~E(x17061,x17062)+E(f292(x17063,x17064,x17061),f292(x17063,x17064,x17062))
% 149.08/148.77 [1707]~E(x17071,x17072)+E(f366(x17071,x17073,x17074,x17075,x17076,x17077,x17078),f366(x17072,x17073,x17074,x17075,x17076,x17077,x17078))
% 149.08/148.77 [1708]~E(x17081,x17082)+E(f366(x17083,x17081,x17084,x17085,x17086,x17087,x17088),f366(x17083,x17082,x17084,x17085,x17086,x17087,x17088))
% 149.08/148.77 [1709]~E(x17091,x17092)+E(f366(x17093,x17094,x17091,x17095,x17096,x17097,x17098),f366(x17093,x17094,x17092,x17095,x17096,x17097,x17098))
% 149.08/148.77 [1710]~E(x17101,x17102)+E(f366(x17103,x17104,x17105,x17101,x17106,x17107,x17108),f366(x17103,x17104,x17105,x17102,x17106,x17107,x17108))
% 149.08/148.77 [1711]~E(x17111,x17112)+E(f366(x17113,x17114,x17115,x17116,x17111,x17117,x17118),f366(x17113,x17114,x17115,x17116,x17112,x17117,x17118))
% 149.08/148.77 [1712]~E(x17121,x17122)+E(f366(x17123,x17124,x17125,x17126,x17127,x17121,x17128),f366(x17123,x17124,x17125,x17126,x17127,x17122,x17128))
% 149.08/148.77 [1713]~E(x17131,x17132)+E(f366(x17133,x17134,x17135,x17136,x17137,x17138,x17131),f366(x17133,x17134,x17135,x17136,x17137,x17138,x17132))
% 149.08/148.77 [1714]~E(x17141,x17142)+E(f99(x17141,x17143,x17144,x17145),f99(x17142,x17143,x17144,x17145))
% 149.08/148.77 [1715]~E(x17151,x17152)+E(f99(x17153,x17151,x17154,x17155),f99(x17153,x17152,x17154,x17155))
% 149.08/148.77 [1716]~E(x17161,x17162)+E(f99(x17163,x17164,x17161,x17165),f99(x17163,x17164,x17162,x17165))
% 149.08/148.77 [1717]~E(x17171,x17172)+E(f99(x17173,x17174,x17175,x17171),f99(x17173,x17174,x17175,x17172))
% 149.08/148.77 [1718]~E(x17181,x17182)+E(f580(x17181,x17183,x17184,x17185,x17186,x17187),f580(x17182,x17183,x17184,x17185,x17186,x17187))
% 149.08/148.77 [1719]~E(x17191,x17192)+E(f580(x17193,x17191,x17194,x17195,x17196,x17197),f580(x17193,x17192,x17194,x17195,x17196,x17197))
% 149.08/148.77 [1720]~E(x17201,x17202)+E(f580(x17203,x17204,x17201,x17205,x17206,x17207),f580(x17203,x17204,x17202,x17205,x17206,x17207))
% 149.08/148.77 [1721]~E(x17211,x17212)+E(f580(x17213,x17214,x17215,x17211,x17216,x17217),f580(x17213,x17214,x17215,x17212,x17216,x17217))
% 149.08/148.77 [1722]~E(x17221,x17222)+E(f580(x17223,x17224,x17225,x17226,x17221,x17227),f580(x17223,x17224,x17225,x17226,x17222,x17227))
% 149.08/148.77 [1723]~E(x17231,x17232)+E(f580(x17233,x17234,x17235,x17236,x17237,x17231),f580(x17233,x17234,x17235,x17236,x17237,x17232))
% 149.08/148.77 [1724]~E(x17241,x17242)+E(f435(x17241,x17243,x17244,x17245,x17246),f435(x17242,x17243,x17244,x17245,x17246))
% 149.08/148.77 [1725]~E(x17251,x17252)+E(f435(x17253,x17251,x17254,x17255,x17256),f435(x17253,x17252,x17254,x17255,x17256))
% 149.08/148.77 [1726]~E(x17261,x17262)+E(f435(x17263,x17264,x17261,x17265,x17266),f435(x17263,x17264,x17262,x17265,x17266))
% 149.08/148.77 [1727]~E(x17271,x17272)+E(f435(x17273,x17274,x17275,x17271,x17276),f435(x17273,x17274,x17275,x17272,x17276))
% 149.08/148.77 [1728]~E(x17281,x17282)+E(f435(x17283,x17284,x17285,x17286,x17281),f435(x17283,x17284,x17285,x17286,x17282))
% 149.08/148.77 [1729]~E(x17291,x17292)+E(f756(x17291,x17293),f756(x17292,x17293))
% 149.08/148.77 [1730]~E(x17301,x17302)+E(f756(x17303,x17301),f756(x17303,x17302))
% 149.08/148.77 [1731]~E(x17311,x17312)+E(f682(x17311,x17313,x17314,x17315,x17316),f682(x17312,x17313,x17314,x17315,x17316))
% 149.08/148.77 [1732]~E(x17321,x17322)+E(f682(x17323,x17321,x17324,x17325,x17326),f682(x17323,x17322,x17324,x17325,x17326))
% 149.08/148.77 [1733]~E(x17331,x17332)+E(f682(x17333,x17334,x17331,x17335,x17336),f682(x17333,x17334,x17332,x17335,x17336))
% 149.08/148.77 [1734]~E(x17341,x17342)+E(f682(x17343,x17344,x17345,x17341,x17346),f682(x17343,x17344,x17345,x17342,x17346))
% 149.08/148.77 [1735]~E(x17351,x17352)+E(f682(x17353,x17354,x17355,x17356,x17351),f682(x17353,x17354,x17355,x17356,x17352))
% 149.08/148.77 [1736]~E(x17361,x17362)+E(f707(x17361,x17363,x17364,x17365),f707(x17362,x17363,x17364,x17365))
% 149.08/148.77 [1737]~E(x17371,x17372)+E(f707(x17373,x17371,x17374,x17375),f707(x17373,x17372,x17374,x17375))
% 149.08/148.77 [1738]~E(x17381,x17382)+E(f707(x17383,x17384,x17381,x17385),f707(x17383,x17384,x17382,x17385))
% 149.08/148.77 [1739]~E(x17391,x17392)+E(f707(x17393,x17394,x17395,x17391),f707(x17393,x17394,x17395,x17392))
% 149.08/148.77 [1740]~E(x17401,x17402)+E(f845(x17401,x17403,x17404),f845(x17402,x17403,x17404))
% 149.08/148.77 [1741]~E(x17411,x17412)+E(f845(x17413,x17411,x17414),f845(x17413,x17412,x17414))
% 149.08/148.77 [1742]~E(x17421,x17422)+E(f845(x17423,x17424,x17421),f845(x17423,x17424,x17422))
% 149.08/148.77 [1743]~E(x17431,x17432)+E(f542(x17431,x17433),f542(x17432,x17433))
% 149.08/148.77 [1744]~E(x17441,x17442)+E(f542(x17443,x17441),f542(x17443,x17442))
% 149.08/148.77 [1745]~E(x17451,x17452)+E(f587(x17451,x17453,x17454),f587(x17452,x17453,x17454))
% 149.08/148.77 [1746]~E(x17461,x17462)+E(f587(x17463,x17461,x17464),f587(x17463,x17462,x17464))
% 149.08/148.77 [1747]~E(x17471,x17472)+E(f587(x17473,x17474,x17471),f587(x17473,x17474,x17472))
% 149.08/148.77 [1748]~E(x17481,x17482)+E(f436(x17481),f436(x17482))
% 149.08/148.77 [1749]~E(x17491,x17492)+E(f473(x17491,x17493,x17494),f473(x17492,x17493,x17494))
% 149.08/148.77 [1750]~E(x17501,x17502)+E(f473(x17503,x17501,x17504),f473(x17503,x17502,x17504))
% 149.08/148.77 [1751]~E(x17511,x17512)+E(f473(x17513,x17514,x17511),f473(x17513,x17514,x17512))
% 149.08/148.77 [1752]~E(x17521,x17522)+E(f386(x17521,x17523),f386(x17522,x17523))
% 149.08/148.77 [1753]~E(x17531,x17532)+E(f386(x17533,x17531),f386(x17533,x17532))
% 149.08/148.77 [1754]~E(x17541,x17542)+E(f472(x17541,x17543),f472(x17542,x17543))
% 149.08/148.77 [1755]~E(x17551,x17552)+E(f472(x17553,x17551),f472(x17553,x17552))
% 149.08/148.77 [1756]~E(x17561,x17562)+E(f571(x17561,x17563,x17564,x17565),f571(x17562,x17563,x17564,x17565))
% 149.08/148.77 [1757]~E(x17571,x17572)+E(f571(x17573,x17571,x17574,x17575),f571(x17573,x17572,x17574,x17575))
% 149.08/148.77 [1758]~E(x17581,x17582)+E(f571(x17583,x17584,x17581,x17585),f571(x17583,x17584,x17582,x17585))
% 149.08/148.77 [1759]~E(x17591,x17592)+E(f571(x17593,x17594,x17595,x17591),f571(x17593,x17594,x17595,x17592))
% 149.08/148.77 [1760]~E(x17601,x17602)+E(f578(x17601,x17603,x17604,x17605,x17606,x17607),f578(x17602,x17603,x17604,x17605,x17606,x17607))
% 149.08/148.77 [1761]~E(x17611,x17612)+E(f578(x17613,x17611,x17614,x17615,x17616,x17617),f578(x17613,x17612,x17614,x17615,x17616,x17617))
% 149.08/148.77 [1762]~E(x17621,x17622)+E(f578(x17623,x17624,x17621,x17625,x17626,x17627),f578(x17623,x17624,x17622,x17625,x17626,x17627))
% 149.08/148.77 [1763]~E(x17631,x17632)+E(f578(x17633,x17634,x17635,x17631,x17636,x17637),f578(x17633,x17634,x17635,x17632,x17636,x17637))
% 149.08/148.77 [1764]~E(x17641,x17642)+E(f578(x17643,x17644,x17645,x17646,x17641,x17647),f578(x17643,x17644,x17645,x17646,x17642,x17647))
% 149.08/148.77 [1765]~E(x17651,x17652)+E(f578(x17653,x17654,x17655,x17656,x17657,x17651),f578(x17653,x17654,x17655,x17656,x17657,x17652))
% 149.08/148.77 [1766]~E(x17661,x17662)+E(f355(x17661,x17663,x17664,x17665,x17666),f355(x17662,x17663,x17664,x17665,x17666))
% 149.08/148.77 [1767]~E(x17671,x17672)+E(f355(x17673,x17671,x17674,x17675,x17676),f355(x17673,x17672,x17674,x17675,x17676))
% 149.08/148.77 [1768]~E(x17681,x17682)+E(f355(x17683,x17684,x17681,x17685,x17686),f355(x17683,x17684,x17682,x17685,x17686))
% 149.08/148.77 [1769]~E(x17691,x17692)+E(f355(x17693,x17694,x17695,x17691,x17696),f355(x17693,x17694,x17695,x17692,x17696))
% 149.08/148.77 [1770]~E(x17701,x17702)+E(f355(x17703,x17704,x17705,x17706,x17701),f355(x17703,x17704,x17705,x17706,x17702))
% 149.08/148.77 [1771]~E(x17711,x17712)+E(f384(x17711,x17713,x17714),f384(x17712,x17713,x17714))
% 149.08/148.77 [1772]~E(x17721,x17722)+E(f384(x17723,x17721,x17724),f384(x17723,x17722,x17724))
% 149.08/148.77 [1773]~E(x17731,x17732)+E(f384(x17733,x17734,x17731),f384(x17733,x17734,x17732))
% 149.08/148.77 [1774]~E(x17741,x17742)+E(f737(x17741,x17743,x17744),f737(x17742,x17743,x17744))
% 149.08/148.77 [1775]~E(x17751,x17752)+E(f737(x17753,x17751,x17754),f737(x17753,x17752,x17754))
% 149.08/148.77 [1776]~E(x17761,x17762)+E(f737(x17763,x17764,x17761),f737(x17763,x17764,x17762))
% 149.08/148.77 [1777]~E(x17771,x17772)+E(f619(x17771,x17773,x17774,x17775,x17776,x17777),f619(x17772,x17773,x17774,x17775,x17776,x17777))
% 149.08/148.77 [1778]~E(x17781,x17782)+E(f619(x17783,x17781,x17784,x17785,x17786,x17787),f619(x17783,x17782,x17784,x17785,x17786,x17787))
% 149.08/148.77 [1779]~E(x17791,x17792)+E(f619(x17793,x17794,x17791,x17795,x17796,x17797),f619(x17793,x17794,x17792,x17795,x17796,x17797))
% 149.08/148.77 [1780]~E(x17801,x17802)+E(f619(x17803,x17804,x17805,x17801,x17806,x17807),f619(x17803,x17804,x17805,x17802,x17806,x17807))
% 149.08/148.77 [1781]~E(x17811,x17812)+E(f619(x17813,x17814,x17815,x17816,x17811,x17817),f619(x17813,x17814,x17815,x17816,x17812,x17817))
% 149.08/148.77 [1782]~E(x17821,x17822)+E(f619(x17823,x17824,x17825,x17826,x17827,x17821),f619(x17823,x17824,x17825,x17826,x17827,x17822))
% 149.08/148.77 [1783]~E(x17831,x17832)+E(f124(x17831,x17833,x17834,x17835),f124(x17832,x17833,x17834,x17835))
% 149.08/148.77 [1784]~E(x17841,x17842)+E(f124(x17843,x17841,x17844,x17845),f124(x17843,x17842,x17844,x17845))
% 149.08/148.77 [1785]~E(x17851,x17852)+E(f124(x17853,x17854,x17851,x17855),f124(x17853,x17854,x17852,x17855))
% 149.08/148.77 [1786]~E(x17861,x17862)+E(f124(x17863,x17864,x17865,x17861),f124(x17863,x17864,x17865,x17862))
% 149.08/148.77 [1787]~E(x17871,x17872)+E(f512(x17871,x17873,x17874,x17875,x17876,x17877),f512(x17872,x17873,x17874,x17875,x17876,x17877))
% 149.08/148.77 [1788]~E(x17881,x17882)+E(f512(x17883,x17881,x17884,x17885,x17886,x17887),f512(x17883,x17882,x17884,x17885,x17886,x17887))
% 149.08/148.77 [1789]~E(x17891,x17892)+E(f512(x17893,x17894,x17891,x17895,x17896,x17897),f512(x17893,x17894,x17892,x17895,x17896,x17897))
% 149.08/148.77 [1790]~E(x17901,x17902)+E(f512(x17903,x17904,x17905,x17901,x17906,x17907),f512(x17903,x17904,x17905,x17902,x17906,x17907))
% 149.08/148.77 [1791]~E(x17911,x17912)+E(f512(x17913,x17914,x17915,x17916,x17911,x17917),f512(x17913,x17914,x17915,x17916,x17912,x17917))
% 149.08/148.77 [1792]~E(x17921,x17922)+E(f512(x17923,x17924,x17925,x17926,x17927,x17921),f512(x17923,x17924,x17925,x17926,x17927,x17922))
% 149.08/148.77 [1793]~E(x17931,x17932)+E(f684(x17931,x17933),f684(x17932,x17933))
% 149.08/148.77 [1794]~E(x17941,x17942)+E(f684(x17943,x17941),f684(x17943,x17942))
% 149.08/148.77 [1795]~E(x17951,x17952)+E(f592(x17951,x17953,x17954),f592(x17952,x17953,x17954))
% 149.08/148.77 [1796]~E(x17961,x17962)+E(f592(x17963,x17961,x17964),f592(x17963,x17962,x17964))
% 149.08/148.77 [1797]~E(x17971,x17972)+E(f592(x17973,x17974,x17971),f592(x17973,x17974,x17972))
% 149.08/148.77 [1798]~E(x17981,x17982)+E(f590(x17981,x17983,x17984,x17985,x17986,x17987,x17988,x17989),f590(x17982,x17983,x17984,x17985,x17986,x17987,x17988,x17989))
% 149.08/148.77 [1799]~E(x17991,x17992)+E(f590(x17993,x17991,x17994,x17995,x17996,x17997,x17998,x17999),f590(x17993,x17992,x17994,x17995,x17996,x17997,x17998,x17999))
% 149.08/148.77 [1800]~E(x18001,x18002)+E(f590(x18003,x18004,x18001,x18005,x18006,x18007,x18008,x18009),f590(x18003,x18004,x18002,x18005,x18006,x18007,x18008,x18009))
% 149.08/148.77 [1801]~E(x18011,x18012)+E(f590(x18013,x18014,x18015,x18011,x18016,x18017,x18018,x18019),f590(x18013,x18014,x18015,x18012,x18016,x18017,x18018,x18019))
% 149.08/148.77 [1802]~E(x18021,x18022)+E(f590(x18023,x18024,x18025,x18026,x18021,x18027,x18028,x18029),f590(x18023,x18024,x18025,x18026,x18022,x18027,x18028,x18029))
% 149.08/148.77 [1803]~E(x18031,x18032)+E(f590(x18033,x18034,x18035,x18036,x18037,x18031,x18038,x18039),f590(x18033,x18034,x18035,x18036,x18037,x18032,x18038,x18039))
% 149.08/148.77 [1804]~E(x18041,x18042)+E(f590(x18043,x18044,x18045,x18046,x18047,x18048,x18041,x18049),f590(x18043,x18044,x18045,x18046,x18047,x18048,x18042,x18049))
% 149.08/148.77 [1805]~E(x18051,x18052)+E(f590(x18053,x18054,x18055,x18056,x18057,x18058,x18059,x18051),f590(x18053,x18054,x18055,x18056,x18057,x18058,x18059,x18052))
% 149.08/148.77 [1806]~E(x18061,x18062)+E(f192(x18061,x18063,x18064,x18065),f192(x18062,x18063,x18064,x18065))
% 149.08/148.77 [1807]~E(x18071,x18072)+E(f192(x18073,x18071,x18074,x18075),f192(x18073,x18072,x18074,x18075))
% 149.08/148.77 [1808]~E(x18081,x18082)+E(f192(x18083,x18084,x18081,x18085),f192(x18083,x18084,x18082,x18085))
% 149.08/148.77 [1809]~E(x18091,x18092)+E(f192(x18093,x18094,x18095,x18091),f192(x18093,x18094,x18095,x18092))
% 149.08/148.77 [1810]~E(x18101,x18102)+E(f755(x18101,x18103,x18104,x18105,x18106),f755(x18102,x18103,x18104,x18105,x18106))
% 149.08/148.77 [1811]~E(x18111,x18112)+E(f755(x18113,x18111,x18114,x18115,x18116),f755(x18113,x18112,x18114,x18115,x18116))
% 149.08/148.77 [1812]~E(x18121,x18122)+E(f755(x18123,x18124,x18121,x18125,x18126),f755(x18123,x18124,x18122,x18125,x18126))
% 149.08/148.77 [1813]~E(x18131,x18132)+E(f755(x18133,x18134,x18135,x18131,x18136),f755(x18133,x18134,x18135,x18132,x18136))
% 149.08/148.77 [1814]~E(x18141,x18142)+E(f755(x18143,x18144,x18145,x18146,x18141),f755(x18143,x18144,x18145,x18146,x18142))
% 149.08/148.77 [1815]~E(x18151,x18152)+E(f716(x18151,x18153,x18154,x18155),f716(x18152,x18153,x18154,x18155))
% 149.08/148.77 [1816]~E(x18161,x18162)+E(f716(x18163,x18161,x18164,x18165),f716(x18163,x18162,x18164,x18165))
% 149.08/148.77 [1817]~E(x18171,x18172)+E(f716(x18173,x18174,x18171,x18175),f716(x18173,x18174,x18172,x18175))
% 149.08/148.77 [1818]~E(x18181,x18182)+E(f716(x18183,x18184,x18185,x18181),f716(x18183,x18184,x18185,x18182))
% 149.08/148.77 [1819]~E(x18191,x18192)+E(f365(x18191,x18193,x18194,x18195,x18196),f365(x18192,x18193,x18194,x18195,x18196))
% 149.08/148.77 [1820]~E(x18201,x18202)+E(f365(x18203,x18201,x18204,x18205,x18206),f365(x18203,x18202,x18204,x18205,x18206))
% 149.08/148.77 [1821]~E(x18211,x18212)+E(f365(x18213,x18214,x18211,x18215,x18216),f365(x18213,x18214,x18212,x18215,x18216))
% 149.08/148.77 [1822]~E(x18221,x18222)+E(f365(x18223,x18224,x18225,x18221,x18226),f365(x18223,x18224,x18225,x18222,x18226))
% 149.08/148.77 [1823]~E(x18231,x18232)+E(f365(x18233,x18234,x18235,x18236,x18231),f365(x18233,x18234,x18235,x18236,x18232))
% 149.08/148.77 [1824]~E(x18241,x18242)+E(f492(x18241,x18243,x18244),f492(x18242,x18243,x18244))
% 149.08/148.77 [1825]~E(x18251,x18252)+E(f492(x18253,x18251,x18254),f492(x18253,x18252,x18254))
% 149.08/148.77 [1826]~E(x18261,x18262)+E(f492(x18263,x18264,x18261),f492(x18263,x18264,x18262))
% 149.08/148.77 [1827]~E(x18271,x18272)+E(f821(x18271,x18273,x18274,x18275,x18276),f821(x18272,x18273,x18274,x18275,x18276))
% 149.08/148.77 [1828]~E(x18281,x18282)+E(f821(x18283,x18281,x18284,x18285,x18286),f821(x18283,x18282,x18284,x18285,x18286))
% 149.08/148.77 [1829]~E(x18291,x18292)+E(f821(x18293,x18294,x18291,x18295,x18296),f821(x18293,x18294,x18292,x18295,x18296))
% 149.08/148.77 [1830]~E(x18301,x18302)+E(f821(x18303,x18304,x18305,x18301,x18306),f821(x18303,x18304,x18305,x18302,x18306))
% 149.08/148.77 [1831]~E(x18311,x18312)+E(f821(x18313,x18314,x18315,x18316,x18311),f821(x18313,x18314,x18315,x18316,x18312))
% 149.08/148.77 [1832]~E(x18321,x18322)+E(f236(x18321,x18323,x18324,x18325,x18326),f236(x18322,x18323,x18324,x18325,x18326))
% 149.08/148.77 [1833]~E(x18331,x18332)+E(f236(x18333,x18331,x18334,x18335,x18336),f236(x18333,x18332,x18334,x18335,x18336))
% 149.08/148.77 [1834]~E(x18341,x18342)+E(f236(x18343,x18344,x18341,x18345,x18346),f236(x18343,x18344,x18342,x18345,x18346))
% 149.08/148.77 [1835]~E(x18351,x18352)+E(f236(x18353,x18354,x18355,x18351,x18356),f236(x18353,x18354,x18355,x18352,x18356))
% 149.08/148.77 [1836]~E(x18361,x18362)+E(f236(x18363,x18364,x18365,x18366,x18361),f236(x18363,x18364,x18365,x18366,x18362))
% 149.08/148.77 [1837]~E(x18371,x18372)+E(f687(x18371,x18373,x18374,x18375,x18376),f687(x18372,x18373,x18374,x18375,x18376))
% 149.08/148.77 [1838]~E(x18381,x18382)+E(f687(x18383,x18381,x18384,x18385,x18386),f687(x18383,x18382,x18384,x18385,x18386))
% 149.08/148.77 [1839]~E(x18391,x18392)+E(f687(x18393,x18394,x18391,x18395,x18396),f687(x18393,x18394,x18392,x18395,x18396))
% 149.08/148.77 [1840]~E(x18401,x18402)+E(f687(x18403,x18404,x18405,x18401,x18406),f687(x18403,x18404,x18405,x18402,x18406))
% 149.08/148.77 [1841]~E(x18411,x18412)+E(f687(x18413,x18414,x18415,x18416,x18411),f687(x18413,x18414,x18415,x18416,x18412))
% 149.08/148.77 [1842]~E(x18421,x18422)+E(f800(x18421,x18423,x18424),f800(x18422,x18423,x18424))
% 149.08/148.77 [1843]~E(x18431,x18432)+E(f800(x18433,x18431,x18434),f800(x18433,x18432,x18434))
% 149.08/148.77 [1844]~E(x18441,x18442)+E(f800(x18443,x18444,x18441),f800(x18443,x18444,x18442))
% 149.08/148.77 [1845]~E(x18451,x18452)+E(f373(x18451,x18453,x18454,x18455,x18456,x18457,x18458),f373(x18452,x18453,x18454,x18455,x18456,x18457,x18458))
% 149.08/148.77 [1846]~E(x18461,x18462)+E(f373(x18463,x18461,x18464,x18465,x18466,x18467,x18468),f373(x18463,x18462,x18464,x18465,x18466,x18467,x18468))
% 149.08/148.77 [1847]~E(x18471,x18472)+E(f373(x18473,x18474,x18471,x18475,x18476,x18477,x18478),f373(x18473,x18474,x18472,x18475,x18476,x18477,x18478))
% 149.08/148.77 [1848]~E(x18481,x18482)+E(f373(x18483,x18484,x18485,x18481,x18486,x18487,x18488),f373(x18483,x18484,x18485,x18482,x18486,x18487,x18488))
% 149.08/148.77 [1849]~E(x18491,x18492)+E(f373(x18493,x18494,x18495,x18496,x18491,x18497,x18498),f373(x18493,x18494,x18495,x18496,x18492,x18497,x18498))
% 149.08/148.77 [1850]~E(x18501,x18502)+E(f373(x18503,x18504,x18505,x18506,x18507,x18501,x18508),f373(x18503,x18504,x18505,x18506,x18507,x18502,x18508))
% 149.08/148.77 [1851]~E(x18511,x18512)+E(f373(x18513,x18514,x18515,x18516,x18517,x18518,x18511),f373(x18513,x18514,x18515,x18516,x18517,x18518,x18512))
% 149.08/148.77 [1852]~E(x18521,x18522)+E(f430(x18521),f430(x18522))
% 149.08/148.77 [1853]~E(x18531,x18532)+E(f599(x18531,x18533,x18534,x18535),f599(x18532,x18533,x18534,x18535))
% 149.08/148.77 [1854]~E(x18541,x18542)+E(f599(x18543,x18541,x18544,x18545),f599(x18543,x18542,x18544,x18545))
% 149.08/148.77 [1855]~E(x18551,x18552)+E(f599(x18553,x18554,x18551,x18555),f599(x18553,x18554,x18552,x18555))
% 149.08/148.77 [1856]~E(x18561,x18562)+E(f599(x18563,x18564,x18565,x18561),f599(x18563,x18564,x18565,x18562))
% 149.08/148.77 [1857]~E(x18571,x18572)+E(f850(x18571,x18573,x18574,x18575,x18576,x18577,x18578),f850(x18572,x18573,x18574,x18575,x18576,x18577,x18578))
% 149.08/148.77 [1858]~E(x18581,x18582)+E(f850(x18583,x18581,x18584,x18585,x18586,x18587,x18588),f850(x18583,x18582,x18584,x18585,x18586,x18587,x18588))
% 149.08/148.77 [1859]~E(x18591,x18592)+E(f850(x18593,x18594,x18591,x18595,x18596,x18597,x18598),f850(x18593,x18594,x18592,x18595,x18596,x18597,x18598))
% 149.08/148.77 [1860]~E(x18601,x18602)+E(f850(x18603,x18604,x18605,x18601,x18606,x18607,x18608),f850(x18603,x18604,x18605,x18602,x18606,x18607,x18608))
% 149.08/148.77 [1861]~E(x18611,x18612)+E(f850(x18613,x18614,x18615,x18616,x18611,x18617,x18618),f850(x18613,x18614,x18615,x18616,x18612,x18617,x18618))
% 149.08/148.77 [1862]~E(x18621,x18622)+E(f850(x18623,x18624,x18625,x18626,x18627,x18621,x18628),f850(x18623,x18624,x18625,x18626,x18627,x18622,x18628))
% 149.08/148.77 [1863]~E(x18631,x18632)+E(f850(x18633,x18634,x18635,x18636,x18637,x18638,x18631),f850(x18633,x18634,x18635,x18636,x18637,x18638,x18632))
% 149.08/148.77 [1864]~E(x18641,x18642)+E(f846(x18641,x18643,x18644),f846(x18642,x18643,x18644))
% 149.08/148.77 [1865]~E(x18651,x18652)+E(f846(x18653,x18651,x18654),f846(x18653,x18652,x18654))
% 149.08/148.77 [1866]~E(x18661,x18662)+E(f846(x18663,x18664,x18661),f846(x18663,x18664,x18662))
% 149.08/148.77 [1867]~E(x18671,x18672)+E(f494(x18671,x18673),f494(x18672,x18673))
% 149.08/148.77 [1868]~E(x18681,x18682)+E(f494(x18683,x18681),f494(x18683,x18682))
% 149.08/148.77 [1869]~E(x18691,x18692)+E(f338(x18691,x18693,x18694),f338(x18692,x18693,x18694))
% 149.08/148.77 [1870]~E(x18701,x18702)+E(f338(x18703,x18701,x18704),f338(x18703,x18702,x18704))
% 149.08/148.77 [1871]~E(x18711,x18712)+E(f338(x18713,x18714,x18711),f338(x18713,x18714,x18712))
% 149.08/148.77 [1872]~E(x18721,x18722)+E(f341(x18721,x18723,x18724,x18725,x18726),f341(x18722,x18723,x18724,x18725,x18726))
% 149.08/148.77 [1873]~E(x18731,x18732)+E(f341(x18733,x18731,x18734,x18735,x18736),f341(x18733,x18732,x18734,x18735,x18736))
% 149.08/148.77 [1874]~E(x18741,x18742)+E(f341(x18743,x18744,x18741,x18745,x18746),f341(x18743,x18744,x18742,x18745,x18746))
% 149.08/148.77 [1875]~E(x18751,x18752)+E(f341(x18753,x18754,x18755,x18751,x18756),f341(x18753,x18754,x18755,x18752,x18756))
% 149.08/148.77 [1876]~E(x18761,x18762)+E(f341(x18763,x18764,x18765,x18766,x18761),f341(x18763,x18764,x18765,x18766,x18762))
% 149.08/148.77 [1877]~E(x18771,x18772)+E(f864(x18771,x18773,x18774,x18775,x18776),f864(x18772,x18773,x18774,x18775,x18776))
% 149.08/148.77 [1878]~E(x18781,x18782)+E(f864(x18783,x18781,x18784,x18785,x18786),f864(x18783,x18782,x18784,x18785,x18786))
% 149.08/148.77 [1879]~E(x18791,x18792)+E(f864(x18793,x18794,x18791,x18795,x18796),f864(x18793,x18794,x18792,x18795,x18796))
% 149.08/148.77 [1880]~E(x18801,x18802)+E(f864(x18803,x18804,x18805,x18801,x18806),f864(x18803,x18804,x18805,x18802,x18806))
% 149.08/148.77 [1881]~E(x18811,x18812)+E(f864(x18813,x18814,x18815,x18816,x18811),f864(x18813,x18814,x18815,x18816,x18812))
% 149.08/148.77 [1882]~E(x18821,x18822)+E(f828(x18821,x18823,x18824,x18825,x18826,x18827),f828(x18822,x18823,x18824,x18825,x18826,x18827))
% 149.08/148.77 [1883]~E(x18831,x18832)+E(f828(x18833,x18831,x18834,x18835,x18836,x18837),f828(x18833,x18832,x18834,x18835,x18836,x18837))
% 149.08/148.77 [1884]~E(x18841,x18842)+E(f828(x18843,x18844,x18841,x18845,x18846,x18847),f828(x18843,x18844,x18842,x18845,x18846,x18847))
% 149.08/148.77 [1885]~E(x18851,x18852)+E(f828(x18853,x18854,x18855,x18851,x18856,x18857),f828(x18853,x18854,x18855,x18852,x18856,x18857))
% 149.08/148.77 [1886]~E(x18861,x18862)+E(f828(x18863,x18864,x18865,x18866,x18861,x18867),f828(x18863,x18864,x18865,x18866,x18862,x18867))
% 149.08/148.77 [1887]~E(x18871,x18872)+E(f828(x18873,x18874,x18875,x18876,x18877,x18871),f828(x18873,x18874,x18875,x18876,x18877,x18872))
% 149.08/148.77 [1888]~E(x18881,x18882)+E(f360(x18881,x18883,x18884),f360(x18882,x18883,x18884))
% 149.08/148.77 [1889]~E(x18891,x18892)+E(f360(x18893,x18891,x18894),f360(x18893,x18892,x18894))
% 149.08/148.77 [1890]~E(x18901,x18902)+E(f360(x18903,x18904,x18901),f360(x18903,x18904,x18902))
% 149.08/148.77 [1891]~E(x18911,x18912)+E(f651(x18911,x18913,x18914,x18915,x18916),f651(x18912,x18913,x18914,x18915,x18916))
% 149.08/148.77 [1892]~E(x18921,x18922)+E(f651(x18923,x18921,x18924,x18925,x18926),f651(x18923,x18922,x18924,x18925,x18926))
% 149.08/148.77 [1893]~E(x18931,x18932)+E(f651(x18933,x18934,x18931,x18935,x18936),f651(x18933,x18934,x18932,x18935,x18936))
% 149.08/148.77 [1894]~E(x18941,x18942)+E(f651(x18943,x18944,x18945,x18941,x18946),f651(x18943,x18944,x18945,x18942,x18946))
% 149.08/148.77 [1895]~E(x18951,x18952)+E(f651(x18953,x18954,x18955,x18956,x18951),f651(x18953,x18954,x18955,x18956,x18952))
% 149.08/148.77 [1896]~E(x18961,x18962)+E(f612(x18961,x18963,x18964),f612(x18962,x18963,x18964))
% 149.08/148.77 [1897]~E(x18971,x18972)+E(f612(x18973,x18971,x18974),f612(x18973,x18972,x18974))
% 149.08/148.77 [1898]~E(x18981,x18982)+E(f612(x18983,x18984,x18981),f612(x18983,x18984,x18982))
% 149.08/148.77 [1899]~E(x18991,x18992)+E(f481(x18991,x18993,x18994),f481(x18992,x18993,x18994))
% 149.08/148.77 [1900]~E(x19001,x19002)+E(f481(x19003,x19001,x19004),f481(x19003,x19002,x19004))
% 149.08/148.77 [1901]~E(x19011,x19012)+E(f481(x19013,x19014,x19011),f481(x19013,x19014,x19012))
% 149.08/148.77 [1902]~E(x19021,x19022)+E(f400(x19021,x19023,x19024,x19025),f400(x19022,x19023,x19024,x19025))
% 149.08/148.77 [1903]~E(x19031,x19032)+E(f400(x19033,x19031,x19034,x19035),f400(x19033,x19032,x19034,x19035))
% 149.08/148.77 [1904]~E(x19041,x19042)+E(f400(x19043,x19044,x19041,x19045),f400(x19043,x19044,x19042,x19045))
% 149.08/148.77 [1905]~E(x19051,x19052)+E(f400(x19053,x19054,x19055,x19051),f400(x19053,x19054,x19055,x19052))
% 149.08/148.77 [1906]~E(x19061,x19062)+E(f95(x19061),f95(x19062))
% 149.08/148.77 [1907]~E(x19071,x19072)+E(f817(x19071,x19073),f817(x19072,x19073))
% 149.08/148.77 [1908]~E(x19081,x19082)+E(f817(x19083,x19081),f817(x19083,x19082))
% 149.08/148.77 [1909]~E(x19091,x19092)+E(f639(x19091,x19093),f639(x19092,x19093))
% 149.08/148.77 [1910]~E(x19101,x19102)+E(f639(x19103,x19101),f639(x19103,x19102))
% 149.08/148.77 [1911]~E(x19111,x19112)+E(f403(x19111,x19113,x19114),f403(x19112,x19113,x19114))
% 149.08/148.77 [1912]~E(x19121,x19122)+E(f403(x19123,x19121,x19124),f403(x19123,x19122,x19124))
% 149.08/148.77 [1913]~E(x19131,x19132)+E(f403(x19133,x19134,x19131),f403(x19133,x19134,x19132))
% 149.08/148.77 [1914]~E(x19141,x19142)+E(f616(x19141,x19143,x19144,x19145,x19146,x19147),f616(x19142,x19143,x19144,x19145,x19146,x19147))
% 149.08/148.77 [1915]~E(x19151,x19152)+E(f616(x19153,x19151,x19154,x19155,x19156,x19157),f616(x19153,x19152,x19154,x19155,x19156,x19157))
% 149.08/148.77 [1916]~E(x19161,x19162)+E(f616(x19163,x19164,x19161,x19165,x19166,x19167),f616(x19163,x19164,x19162,x19165,x19166,x19167))
% 149.08/148.77 [1917]~E(x19171,x19172)+E(f616(x19173,x19174,x19175,x19171,x19176,x19177),f616(x19173,x19174,x19175,x19172,x19176,x19177))
% 149.08/148.77 [1918]~E(x19181,x19182)+E(f616(x19183,x19184,x19185,x19186,x19181,x19187),f616(x19183,x19184,x19185,x19186,x19182,x19187))
% 149.08/148.77 [1919]~E(x19191,x19192)+E(f616(x19193,x19194,x19195,x19196,x19197,x19191),f616(x19193,x19194,x19195,x19196,x19197,x19192))
% 149.08/148.77 [1920]~E(x19201,x19202)+E(f581(x19201,x19203,x19204,x19205),f581(x19202,x19203,x19204,x19205))
% 149.08/148.77 [1921]~E(x19211,x19212)+E(f581(x19213,x19211,x19214,x19215),f581(x19213,x19212,x19214,x19215))
% 149.08/148.77 [1922]~E(x19221,x19222)+E(f581(x19223,x19224,x19221,x19225),f581(x19223,x19224,x19222,x19225))
% 149.08/148.77 [1923]~E(x19231,x19232)+E(f581(x19233,x19234,x19235,x19231),f581(x19233,x19234,x19235,x19232))
% 149.08/148.77 [1924]~E(x19241,x19242)+E(f823(x19241,x19243,x19244,x19245,x19246),f823(x19242,x19243,x19244,x19245,x19246))
% 149.08/148.77 [1925]~E(x19251,x19252)+E(f823(x19253,x19251,x19254,x19255,x19256),f823(x19253,x19252,x19254,x19255,x19256))
% 149.08/148.77 [1926]~E(x19261,x19262)+E(f823(x19263,x19264,x19261,x19265,x19266),f823(x19263,x19264,x19262,x19265,x19266))
% 149.08/148.77 [1927]~E(x19271,x19272)+E(f823(x19273,x19274,x19275,x19271,x19276),f823(x19273,x19274,x19275,x19272,x19276))
% 149.08/148.77 [1928]~E(x19281,x19282)+E(f823(x19283,x19284,x19285,x19286,x19281),f823(x19283,x19284,x19285,x19286,x19282))
% 149.08/148.77 [1929]~E(x19291,x19292)+E(f497(x19291,x19293,x19294),f497(x19292,x19293,x19294))
% 149.08/148.77 [1930]~E(x19301,x19302)+E(f497(x19303,x19301,x19304),f497(x19303,x19302,x19304))
% 149.08/148.77 [1931]~E(x19311,x19312)+E(f497(x19313,x19314,x19311),f497(x19313,x19314,x19312))
% 149.08/148.77 [1932]~E(x19321,x19322)+E(f783(x19321,x19323,x19324,x19325,x19326,x19327),f783(x19322,x19323,x19324,x19325,x19326,x19327))
% 149.08/148.77 [1933]~E(x19331,x19332)+E(f783(x19333,x19331,x19334,x19335,x19336,x19337),f783(x19333,x19332,x19334,x19335,x19336,x19337))
% 149.08/148.77 [1934]~E(x19341,x19342)+E(f783(x19343,x19344,x19341,x19345,x19346,x19347),f783(x19343,x19344,x19342,x19345,x19346,x19347))
% 149.08/148.77 [1935]~E(x19351,x19352)+E(f783(x19353,x19354,x19355,x19351,x19356,x19357),f783(x19353,x19354,x19355,x19352,x19356,x19357))
% 149.08/148.77 [1936]~E(x19361,x19362)+E(f783(x19363,x19364,x19365,x19366,x19361,x19367),f783(x19363,x19364,x19365,x19366,x19362,x19367))
% 149.08/148.77 [1937]~E(x19371,x19372)+E(f783(x19373,x19374,x19375,x19376,x19377,x19371),f783(x19373,x19374,x19375,x19376,x19377,x19372))
% 149.08/148.77 [1938]~E(x19381,x19382)+E(f372(x19381,x19383,x19384),f372(x19382,x19383,x19384))
% 149.08/148.77 [1939]~E(x19391,x19392)+E(f372(x19393,x19391,x19394),f372(x19393,x19392,x19394))
% 149.08/148.77 [1940]~E(x19401,x19402)+E(f372(x19403,x19404,x19401),f372(x19403,x19404,x19402))
% 149.08/148.77 [1941]~E(x19411,x19412)+E(f795(x19411,x19413,x19414),f795(x19412,x19413,x19414))
% 149.08/148.77 [1942]~E(x19421,x19422)+E(f795(x19423,x19421,x19424),f795(x19423,x19422,x19424))
% 149.08/148.77 [1943]~E(x19431,x19432)+E(f795(x19433,x19434,x19431),f795(x19433,x19434,x19432))
% 149.08/148.77 [1944]~E(x19441,x19442)+E(f532(x19441,x19443,x19444,x19445),f532(x19442,x19443,x19444,x19445))
% 149.08/148.77 [1945]~E(x19451,x19452)+E(f532(x19453,x19451,x19454,x19455),f532(x19453,x19452,x19454,x19455))
% 149.08/148.77 [1946]~E(x19461,x19462)+E(f532(x19463,x19464,x19461,x19465),f532(x19463,x19464,x19462,x19465))
% 149.08/148.77 [1947]~E(x19471,x19472)+E(f532(x19473,x19474,x19475,x19471),f532(x19473,x19474,x19475,x19472))
% 149.08/148.77 [1948]~E(x19481,x19482)+E(f711(x19481,x19483,x19484,x19485,x19486),f711(x19482,x19483,x19484,x19485,x19486))
% 149.08/148.77 [1949]~E(x19491,x19492)+E(f711(x19493,x19491,x19494,x19495,x19496),f711(x19493,x19492,x19494,x19495,x19496))
% 149.08/148.77 [1950]~E(x19501,x19502)+E(f711(x19503,x19504,x19501,x19505,x19506),f711(x19503,x19504,x19502,x19505,x19506))
% 149.08/148.77 [1951]~E(x19511,x19512)+E(f711(x19513,x19514,x19515,x19511,x19516),f711(x19513,x19514,x19515,x19512,x19516))
% 149.08/148.77 [1952]~E(x19521,x19522)+E(f711(x19523,x19524,x19525,x19526,x19521),f711(x19523,x19524,x19525,x19526,x19522))
% 149.08/148.77 [1953]~E(x19531,x19532)+E(f444(x19531,x19533),f444(x19532,x19533))
% 149.08/148.77 [1954]~E(x19541,x19542)+E(f444(x19543,x19541),f444(x19543,x19542))
% 149.08/148.77 [1955]~E(x19551,x19552)+E(f726(x19551,x19553),f726(x19552,x19553))
% 149.08/148.77 [1956]~E(x19561,x19562)+E(f726(x19563,x19561),f726(x19563,x19562))
% 149.08/148.77 [1957]~E(x19571,x19572)+E(f585(x19571),f585(x19572))
% 149.08/148.77 [1958]~E(x19581,x19582)+E(f206(x19581,x19583),f206(x19582,x19583))
% 149.08/148.77 [1959]~E(x19591,x19592)+E(f206(x19593,x19591),f206(x19593,x19592))
% 149.08/148.77 [1960]~E(x19601,x19602)+E(f798(x19601,x19603,x19604),f798(x19602,x19603,x19604))
% 149.08/148.77 [1961]~E(x19611,x19612)+E(f798(x19613,x19611,x19614),f798(x19613,x19612,x19614))
% 149.08/148.77 [1962]~E(x19621,x19622)+E(f798(x19623,x19624,x19621),f798(x19623,x19624,x19622))
% 149.08/148.77 [1963]~E(x19631,x19632)+E(f521(x19631,x19633,x19634,x19635),f521(x19632,x19633,x19634,x19635))
% 149.08/148.77 [1964]~E(x19641,x19642)+E(f521(x19643,x19641,x19644,x19645),f521(x19643,x19642,x19644,x19645))
% 149.08/148.77 [1965]~E(x19651,x19652)+E(f521(x19653,x19654,x19651,x19655),f521(x19653,x19654,x19652,x19655))
% 149.08/148.77 [1966]~E(x19661,x19662)+E(f521(x19663,x19664,x19665,x19661),f521(x19663,x19664,x19665,x19662))
% 149.08/148.77 [1967]~E(x19671,x19672)+E(f409(x19671,x19673,x19674,x19675),f409(x19672,x19673,x19674,x19675))
% 149.08/148.77 [1968]~E(x19681,x19682)+E(f409(x19683,x19681,x19684,x19685),f409(x19683,x19682,x19684,x19685))
% 149.08/148.77 [1969]~E(x19691,x19692)+E(f409(x19693,x19694,x19691,x19695),f409(x19693,x19694,x19692,x19695))
% 149.08/148.77 [1970]~E(x19701,x19702)+E(f409(x19703,x19704,x19705,x19701),f409(x19703,x19704,x19705,x19702))
% 149.08/148.77 [1971]~E(x19711,x19712)+E(f731(x19711,x19713,x19714),f731(x19712,x19713,x19714))
% 149.08/148.77 [1972]~E(x19721,x19722)+E(f731(x19723,x19721,x19724),f731(x19723,x19722,x19724))
% 149.08/148.77 [1973]~E(x19731,x19732)+E(f731(x19733,x19734,x19731),f731(x19733,x19734,x19732))
% 149.08/148.77 [1974]~E(x19741,x19742)+E(f368(x19741,x19743,x19744),f368(x19742,x19743,x19744))
% 149.08/148.77 [1975]~E(x19751,x19752)+E(f368(x19753,x19751,x19754),f368(x19753,x19752,x19754))
% 149.08/148.77 [1976]~E(x19761,x19762)+E(f368(x19763,x19764,x19761),f368(x19763,x19764,x19762))
% 149.08/148.77 [1977]~E(x19771,x19772)+E(f399(x19771,x19773,x19774,x19775),f399(x19772,x19773,x19774,x19775))
% 149.08/148.77 [1978]~E(x19781,x19782)+E(f399(x19783,x19781,x19784,x19785),f399(x19783,x19782,x19784,x19785))
% 149.08/148.77 [1979]~E(x19791,x19792)+E(f399(x19793,x19794,x19791,x19795),f399(x19793,x19794,x19792,x19795))
% 149.08/148.77 [1980]~E(x19801,x19802)+E(f399(x19803,x19804,x19805,x19801),f399(x19803,x19804,x19805,x19802))
% 149.08/148.77 [1981]~E(x19811,x19812)+E(f351(x19811,x19813,x19814),f351(x19812,x19813,x19814))
% 149.08/148.77 [1982]~E(x19821,x19822)+E(f351(x19823,x19821,x19824),f351(x19823,x19822,x19824))
% 149.08/148.77 [1983]~E(x19831,x19832)+E(f351(x19833,x19834,x19831),f351(x19833,x19834,x19832))
% 149.08/148.77 [1984]~E(x19841,x19842)+E(f381(x19841,x19843),f381(x19842,x19843))
% 149.08/148.77 [1985]~E(x19851,x19852)+E(f381(x19853,x19851),f381(x19853,x19852))
% 149.08/148.77 [1986]~E(x19861,x19862)+E(f130(x19861,x19863),f130(x19862,x19863))
% 149.08/148.77 [1987]~E(x19871,x19872)+E(f130(x19873,x19871),f130(x19873,x19872))
% 149.08/148.77 [1988]~E(x19881,x19882)+E(f649(x19881,x19883,x19884,x19885,x19886),f649(x19882,x19883,x19884,x19885,x19886))
% 149.08/148.77 [1989]~E(x19891,x19892)+E(f649(x19893,x19891,x19894,x19895,x19896),f649(x19893,x19892,x19894,x19895,x19896))
% 149.08/148.77 [1990]~E(x19901,x19902)+E(f649(x19903,x19904,x19901,x19905,x19906),f649(x19903,x19904,x19902,x19905,x19906))
% 149.08/148.77 [1991]~E(x19911,x19912)+E(f649(x19913,x19914,x19915,x19911,x19916),f649(x19913,x19914,x19915,x19912,x19916))
% 149.08/148.77 [1992]~E(x19921,x19922)+E(f649(x19923,x19924,x19925,x19926,x19921),f649(x19923,x19924,x19925,x19926,x19922))
% 149.08/148.77 [1993]~E(x19931,x19932)+E(f757(x19931,x19933),f757(x19932,x19933))
% 149.08/148.77 [1994]~E(x19941,x19942)+E(f757(x19943,x19941),f757(x19943,x19942))
% 149.08/148.77 [1995]~E(x19951,x19952)+E(f470(x19951,x19953),f470(x19952,x19953))
% 149.08/148.77 [1996]~E(x19961,x19962)+E(f470(x19963,x19961),f470(x19963,x19962))
% 149.08/148.77 [1997]~E(x19971,x19972)+E(f408(x19971,x19973,x19974,x19975),f408(x19972,x19973,x19974,x19975))
% 149.08/148.77 [1998]~E(x19981,x19982)+E(f408(x19983,x19981,x19984,x19985),f408(x19983,x19982,x19984,x19985))
% 149.08/148.77 [1999]~E(x19991,x19992)+E(f408(x19993,x19994,x19991,x19995),f408(x19993,x19994,x19992,x19995))
% 149.08/148.77 [2000]~E(x20001,x20002)+E(f408(x20003,x20004,x20005,x20001),f408(x20003,x20004,x20005,x20002))
% 149.08/148.77 [2001]~E(x20011,x20012)+E(f543(x20011,x20013),f543(x20012,x20013))
% 149.08/148.77 [2002]~E(x20021,x20022)+E(f543(x20023,x20021),f543(x20023,x20022))
% 149.08/148.77 [2003]~E(x20031,x20032)+E(f635(x20031,x20033,x20034),f635(x20032,x20033,x20034))
% 149.08/148.77 [2004]~E(x20041,x20042)+E(f635(x20043,x20041,x20044),f635(x20043,x20042,x20044))
% 149.08/148.77 [2005]~E(x20051,x20052)+E(f635(x20053,x20054,x20051),f635(x20053,x20054,x20052))
% 149.08/148.77 [2006]~E(x20061,x20062)+E(f829(x20061,x20063,x20064,x20065),f829(x20062,x20063,x20064,x20065))
% 149.08/148.77 [2007]~E(x20071,x20072)+E(f829(x20073,x20071,x20074,x20075),f829(x20073,x20072,x20074,x20075))
% 149.08/148.77 [2008]~E(x20081,x20082)+E(f829(x20083,x20084,x20081,x20085),f829(x20083,x20084,x20082,x20085))
% 149.08/148.77 [2009]~E(x20091,x20092)+E(f829(x20093,x20094,x20095,x20091),f829(x20093,x20094,x20095,x20092))
% 149.08/148.77 [2010]~E(x20101,x20102)+E(f413(x20101,x20103,x20104,x20105),f413(x20102,x20103,x20104,x20105))
% 149.08/148.77 [2011]~E(x20111,x20112)+E(f413(x20113,x20111,x20114,x20115),f413(x20113,x20112,x20114,x20115))
% 149.08/148.77 [2012]~E(x20121,x20122)+E(f413(x20123,x20124,x20121,x20125),f413(x20123,x20124,x20122,x20125))
% 149.08/148.77 [2013]~E(x20131,x20132)+E(f413(x20133,x20134,x20135,x20131),f413(x20133,x20134,x20135,x20132))
% 149.08/148.77 [2014]~E(x20141,x20142)+E(f382(x20141,x20143),f382(x20142,x20143))
% 149.08/148.77 [2015]~E(x20151,x20152)+E(f382(x20153,x20151),f382(x20153,x20152))
% 149.08/148.77 [2016]~E(x20161,x20162)+E(f603(x20161,x20163),f603(x20162,x20163))
% 149.08/148.77 [2017]~E(x20171,x20172)+E(f603(x20173,x20171),f603(x20173,x20172))
% 149.08/148.77 [2018]~E(x20181,x20182)+E(f825(x20181,x20183,x20184,x20185),f825(x20182,x20183,x20184,x20185))
% 149.08/148.77 [2019]~E(x20191,x20192)+E(f825(x20193,x20191,x20194,x20195),f825(x20193,x20192,x20194,x20195))
% 149.08/148.77 [2020]~E(x20201,x20202)+E(f825(x20203,x20204,x20201,x20205),f825(x20203,x20204,x20202,x20205))
% 149.08/148.77 [2021]~E(x20211,x20212)+E(f825(x20213,x20214,x20215,x20211),f825(x20213,x20214,x20215,x20212))
% 149.08/148.77 [2022]~E(x20221,x20222)+E(f496(x20221,x20223,x20224),f496(x20222,x20223,x20224))
% 149.08/148.77 [2023]~E(x20231,x20232)+E(f496(x20233,x20231,x20234),f496(x20233,x20232,x20234))
% 149.08/148.77 [2024]~E(x20241,x20242)+E(f496(x20243,x20244,x20241),f496(x20243,x20244,x20242))
% 149.08/148.77 [2025]~E(x20251,x20252)+E(f722(x20251,x20253,x20254,x20255),f722(x20252,x20253,x20254,x20255))
% 149.08/148.77 [2026]~E(x20261,x20262)+E(f722(x20263,x20261,x20264,x20265),f722(x20263,x20262,x20264,x20265))
% 149.08/148.77 [2027]~E(x20271,x20272)+E(f722(x20273,x20274,x20271,x20275),f722(x20273,x20274,x20272,x20275))
% 149.08/148.77 [2028]~E(x20281,x20282)+E(f722(x20283,x20284,x20285,x20281),f722(x20283,x20284,x20285,x20282))
% 149.08/148.77 [2029]~E(x20291,x20292)+E(f781(x20291,x20293,x20294,x20295,x20296),f781(x20292,x20293,x20294,x20295,x20296))
% 149.08/148.77 [2030]~E(x20301,x20302)+E(f781(x20303,x20301,x20304,x20305,x20306),f781(x20303,x20302,x20304,x20305,x20306))
% 149.08/148.77 [2031]~E(x20311,x20312)+E(f781(x20313,x20314,x20311,x20315,x20316),f781(x20313,x20314,x20312,x20315,x20316))
% 149.08/148.77 [2032]~E(x20321,x20322)+E(f781(x20323,x20324,x20325,x20321,x20326),f781(x20323,x20324,x20325,x20322,x20326))
% 149.08/148.77 [2033]~E(x20331,x20332)+E(f781(x20333,x20334,x20335,x20336,x20331),f781(x20333,x20334,x20335,x20336,x20332))
% 149.08/148.77 [2034]~E(x20341,x20342)+E(f128(x20341),f128(x20342))
% 149.08/148.77 [2035]~E(x20351,x20352)+E(f842(x20351,x20353,x20354,x20355,x20356),f842(x20352,x20353,x20354,x20355,x20356))
% 149.08/148.77 [2036]~E(x20361,x20362)+E(f842(x20363,x20361,x20364,x20365,x20366),f842(x20363,x20362,x20364,x20365,x20366))
% 149.08/148.77 [2037]~E(x20371,x20372)+E(f842(x20373,x20374,x20371,x20375,x20376),f842(x20373,x20374,x20372,x20375,x20376))
% 149.08/148.77 [2038]~E(x20381,x20382)+E(f842(x20383,x20384,x20385,x20381,x20386),f842(x20383,x20384,x20385,x20382,x20386))
% 149.08/148.77 [2039]~E(x20391,x20392)+E(f842(x20393,x20394,x20395,x20396,x20391),f842(x20393,x20394,x20395,x20396,x20392))
% 149.08/148.77 [2040]~E(x20401,x20402)+E(f652(x20401,x20403,x20404,x20405,x20406),f652(x20402,x20403,x20404,x20405,x20406))
% 149.08/148.77 [2041]~E(x20411,x20412)+E(f652(x20413,x20411,x20414,x20415,x20416),f652(x20413,x20412,x20414,x20415,x20416))
% 149.08/148.77 [2042]~E(x20421,x20422)+E(f652(x20423,x20424,x20421,x20425,x20426),f652(x20423,x20424,x20422,x20425,x20426))
% 149.08/148.77 [2043]~E(x20431,x20432)+E(f652(x20433,x20434,x20435,x20431,x20436),f652(x20433,x20434,x20435,x20432,x20436))
% 149.08/148.77 [2044]~E(x20441,x20442)+E(f652(x20443,x20444,x20445,x20446,x20441),f652(x20443,x20444,x20445,x20446,x20442))
% 149.08/148.77 [2045]~E(x20451,x20452)+E(f545(x20451,x20453,x20454),f545(x20452,x20453,x20454))
% 149.08/148.77 [2046]~E(x20461,x20462)+E(f545(x20463,x20461,x20464),f545(x20463,x20462,x20464))
% 149.08/148.77 [2047]~E(x20471,x20472)+E(f545(x20473,x20474,x20471),f545(x20473,x20474,x20472))
% 149.08/148.77 [2048]~E(x20481,x20482)+E(f333(x20481,x20483),f333(x20482,x20483))
% 149.08/148.77 [2049]~E(x20491,x20492)+E(f333(x20493,x20491),f333(x20493,x20492))
% 149.08/148.77 [2050]~E(x20501,x20502)+E(f268(x20501,x20503,x20504,x20505,x20506),f268(x20502,x20503,x20504,x20505,x20506))
% 149.08/148.77 [2051]~E(x20511,x20512)+E(f268(x20513,x20511,x20514,x20515,x20516),f268(x20513,x20512,x20514,x20515,x20516))
% 149.08/148.77 [2052]~E(x20521,x20522)+E(f268(x20523,x20524,x20521,x20525,x20526),f268(x20523,x20524,x20522,x20525,x20526))
% 149.08/148.77 [2053]~E(x20531,x20532)+E(f268(x20533,x20534,x20535,x20531,x20536),f268(x20533,x20534,x20535,x20532,x20536))
% 149.08/148.77 [2054]~E(x20541,x20542)+E(f268(x20543,x20544,x20545,x20546,x20541),f268(x20543,x20544,x20545,x20546,x20542))
% 149.08/148.77 [2055]~E(x20551,x20552)+E(f575(x20551,x20553,x20554,x20555),f575(x20552,x20553,x20554,x20555))
% 149.08/148.77 [2056]~E(x20561,x20562)+E(f575(x20563,x20561,x20564,x20565),f575(x20563,x20562,x20564,x20565))
% 149.08/148.77 [2057]~E(x20571,x20572)+E(f575(x20573,x20574,x20571,x20575),f575(x20573,x20574,x20572,x20575))
% 149.08/148.77 [2058]~E(x20581,x20582)+E(f575(x20583,x20584,x20585,x20581),f575(x20583,x20584,x20585,x20582))
% 149.08/148.77 [2059]~E(x20591,x20592)+E(f567(x20591,x20593,x20594),f567(x20592,x20593,x20594))
% 149.08/148.77 [2060]~E(x20601,x20602)+E(f567(x20603,x20601,x20604),f567(x20603,x20602,x20604))
% 149.08/148.77 [2061]~E(x20611,x20612)+E(f567(x20613,x20614,x20611),f567(x20613,x20614,x20612))
% 149.08/148.77 [2062]~E(x20621,x20622)+E(f210(x20621,x20623,x20624,x20625),f210(x20622,x20623,x20624,x20625))
% 149.08/148.77 [2063]~E(x20631,x20632)+E(f210(x20633,x20631,x20634,x20635),f210(x20633,x20632,x20634,x20635))
% 149.08/148.77 [2064]~E(x20641,x20642)+E(f210(x20643,x20644,x20641,x20645),f210(x20643,x20644,x20642,x20645))
% 149.08/148.77 [2065]~E(x20651,x20652)+E(f210(x20653,x20654,x20655,x20651),f210(x20653,x20654,x20655,x20652))
% 149.08/148.77 [2066]~E(x20661,x20662)+E(f396(x20661,x20663,x20664,x20665),f396(x20662,x20663,x20664,x20665))
% 149.08/148.77 [2067]~E(x20671,x20672)+E(f396(x20673,x20671,x20674,x20675),f396(x20673,x20672,x20674,x20675))
% 149.08/148.77 [2068]~E(x20681,x20682)+E(f396(x20683,x20684,x20681,x20685),f396(x20683,x20684,x20682,x20685))
% 149.08/148.77 [2069]~E(x20691,x20692)+E(f396(x20693,x20694,x20695,x20691),f396(x20693,x20694,x20695,x20692))
% 149.08/148.77 [2070]~E(x20701,x20702)+E(f493(x20701,x20703,x20704),f493(x20702,x20703,x20704))
% 149.08/148.77 [2071]~E(x20711,x20712)+E(f493(x20713,x20711,x20714),f493(x20713,x20712,x20714))
% 149.08/148.77 [2072]~E(x20721,x20722)+E(f493(x20723,x20724,x20721),f493(x20723,x20724,x20722))
% 149.08/148.77 [2073]~E(x20731,x20732)+E(f519(x20731,x20733),f519(x20732,x20733))
% 149.08/148.77 [2074]~E(x20741,x20742)+E(f519(x20743,x20741),f519(x20743,x20742))
% 149.08/148.77 [2075]~E(x20751,x20752)+E(f718(x20751,x20753,x20754,x20755),f718(x20752,x20753,x20754,x20755))
% 149.08/148.77 [2076]~E(x20761,x20762)+E(f718(x20763,x20761,x20764,x20765),f718(x20763,x20762,x20764,x20765))
% 149.08/148.77 [2077]~E(x20771,x20772)+E(f718(x20773,x20774,x20771,x20775),f718(x20773,x20774,x20772,x20775))
% 149.08/148.77 [2078]~E(x20781,x20782)+E(f718(x20783,x20784,x20785,x20781),f718(x20783,x20784,x20785,x20782))
% 149.08/148.77 [2079]~E(x20791,x20792)+E(f632(x20791,x20793,x20794,x20795,x20796,x20797,x20798,x20799),f632(x20792,x20793,x20794,x20795,x20796,x20797,x20798,x20799))
% 149.08/148.77 [2080]~E(x20801,x20802)+E(f632(x20803,x20801,x20804,x20805,x20806,x20807,x20808,x20809),f632(x20803,x20802,x20804,x20805,x20806,x20807,x20808,x20809))
% 149.08/148.77 [2081]~E(x20811,x20812)+E(f632(x20813,x20814,x20811,x20815,x20816,x20817,x20818,x20819),f632(x20813,x20814,x20812,x20815,x20816,x20817,x20818,x20819))
% 149.08/148.77 [2082]~E(x20821,x20822)+E(f632(x20823,x20824,x20825,x20821,x20826,x20827,x20828,x20829),f632(x20823,x20824,x20825,x20822,x20826,x20827,x20828,x20829))
% 149.08/148.77 [2083]~E(x20831,x20832)+E(f632(x20833,x20834,x20835,x20836,x20831,x20837,x20838,x20839),f632(x20833,x20834,x20835,x20836,x20832,x20837,x20838,x20839))
% 149.08/148.77 [2084]~E(x20841,x20842)+E(f632(x20843,x20844,x20845,x20846,x20847,x20841,x20848,x20849),f632(x20843,x20844,x20845,x20846,x20847,x20842,x20848,x20849))
% 149.08/148.77 [2085]~E(x20851,x20852)+E(f632(x20853,x20854,x20855,x20856,x20857,x20858,x20851,x20859),f632(x20853,x20854,x20855,x20856,x20857,x20858,x20852,x20859))
% 149.08/148.77 [2086]~E(x20861,x20862)+E(f632(x20863,x20864,x20865,x20866,x20867,x20868,x20869,x20861),f632(x20863,x20864,x20865,x20866,x20867,x20868,x20869,x20862))
% 149.08/148.77 [2087]~E(x20871,x20872)+E(f617(x20871,x20873,x20874,x20875),f617(x20872,x20873,x20874,x20875))
% 149.08/148.77 [2088]~E(x20881,x20882)+E(f617(x20883,x20881,x20884,x20885),f617(x20883,x20882,x20884,x20885))
% 149.08/148.77 [2089]~E(x20891,x20892)+E(f617(x20893,x20894,x20891,x20895),f617(x20893,x20894,x20892,x20895))
% 149.08/148.77 [2090]~E(x20901,x20902)+E(f617(x20903,x20904,x20905,x20901),f617(x20903,x20904,x20905,x20902))
% 149.08/148.77 [2091]~E(x20911,x20912)+E(f778(x20911,x20913,x20914,x20915,x20916),f778(x20912,x20913,x20914,x20915,x20916))
% 149.08/148.77 [2092]~E(x20921,x20922)+E(f778(x20923,x20921,x20924,x20925,x20926),f778(x20923,x20922,x20924,x20925,x20926))
% 149.08/148.77 [2093]~E(x20931,x20932)+E(f778(x20933,x20934,x20931,x20935,x20936),f778(x20933,x20934,x20932,x20935,x20936))
% 149.08/148.77 [2094]~E(x20941,x20942)+E(f778(x20943,x20944,x20945,x20941,x20946),f778(x20943,x20944,x20945,x20942,x20946))
% 149.08/148.77 [2095]~E(x20951,x20952)+E(f778(x20953,x20954,x20955,x20956,x20951),f778(x20953,x20954,x20955,x20956,x20952))
% 149.08/148.77 [2096]~E(x20961,x20962)+E(f158(x20961,x20963),f158(x20962,x20963))
% 149.08/148.77 [2097]~E(x20971,x20972)+E(f158(x20973,x20971),f158(x20973,x20972))
% 149.08/148.77 [2098]~E(x20981,x20982)+E(f525(x20981,x20983,x20984),f525(x20982,x20983,x20984))
% 149.08/148.77 [2099]~E(x20991,x20992)+E(f525(x20993,x20991,x20994),f525(x20993,x20992,x20994))
% 149.08/148.77 [2100]~E(x21001,x21002)+E(f525(x21003,x21004,x21001),f525(x21003,x21004,x21002))
% 149.08/148.77 [2101]~E(x21011,x21012)+E(f600(x21011),f600(x21012))
% 149.08/148.77 [2102]~E(x21021,x21022)+E(f561(x21021,x21023,x21024,x21025),f561(x21022,x21023,x21024,x21025))
% 149.08/148.77 [2103]~E(x21031,x21032)+E(f561(x21033,x21031,x21034,x21035),f561(x21033,x21032,x21034,x21035))
% 149.08/148.77 [2104]~E(x21041,x21042)+E(f561(x21043,x21044,x21041,x21045),f561(x21043,x21044,x21042,x21045))
% 149.08/148.77 [2105]~E(x21051,x21052)+E(f561(x21053,x21054,x21055,x21051),f561(x21053,x21054,x21055,x21052))
% 149.08/148.77 [2106]~E(x21061,x21062)+E(f807(x21061,x21063,x21064),f807(x21062,x21063,x21064))
% 149.08/148.77 [2107]~E(x21071,x21072)+E(f807(x21073,x21071,x21074),f807(x21073,x21072,x21074))
% 149.08/148.77 [2108]~E(x21081,x21082)+E(f807(x21083,x21084,x21081),f807(x21083,x21084,x21082))
% 149.08/148.77 [2109]~E(x21091,x21092)+E(f837(x21091,x21093),f837(x21092,x21093))
% 149.08/148.77 [2110]~E(x21101,x21102)+E(f837(x21103,x21101),f837(x21103,x21102))
% 149.08/148.77 [2111]~E(x21111,x21112)+E(f277(x21111,x21113),f277(x21112,x21113))
% 149.08/148.77 [2112]~E(x21121,x21122)+E(f277(x21123,x21121),f277(x21123,x21122))
% 149.08/148.77 [2113]~E(x21131,x21132)+E(f721(x21131,x21133,x21134,x21135),f721(x21132,x21133,x21134,x21135))
% 149.08/148.77 [2114]~E(x21141,x21142)+E(f721(x21143,x21141,x21144,x21145),f721(x21143,x21142,x21144,x21145))
% 149.08/148.77 [2115]~E(x21151,x21152)+E(f721(x21153,x21154,x21151,x21155),f721(x21153,x21154,x21152,x21155))
% 149.08/148.77 [2116]~E(x21161,x21162)+E(f721(x21163,x21164,x21165,x21161),f721(x21163,x21164,x21165,x21162))
% 149.08/148.77 [2117]~E(x21171,x21172)+E(f559(x21171,x21173,x21174,x21175),f559(x21172,x21173,x21174,x21175))
% 149.08/148.77 [2118]~E(x21181,x21182)+E(f559(x21183,x21181,x21184,x21185),f559(x21183,x21182,x21184,x21185))
% 149.08/148.77 [2119]~E(x21191,x21192)+E(f559(x21193,x21194,x21191,x21195),f559(x21193,x21194,x21192,x21195))
% 149.08/148.77 [2120]~E(x21201,x21202)+E(f559(x21203,x21204,x21205,x21201),f559(x21203,x21204,x21205,x21202))
% 149.08/148.77 [2121]~E(x21211,x21212)+E(f463(x21211,x21213,x21214),f463(x21212,x21213,x21214))
% 149.08/148.77 [2122]~E(x21221,x21222)+E(f463(x21223,x21221,x21224),f463(x21223,x21222,x21224))
% 149.08/148.77 [2123]~E(x21231,x21232)+E(f463(x21233,x21234,x21231),f463(x21233,x21234,x21232))
% 149.08/148.77 [2124]~E(x21241,x21242)+E(f607(x21241,x21243,x21244),f607(x21242,x21243,x21244))
% 149.08/148.77 [2125]~E(x21251,x21252)+E(f607(x21253,x21251,x21254),f607(x21253,x21252,x21254))
% 149.08/148.77 [2126]~E(x21261,x21262)+E(f607(x21263,x21264,x21261),f607(x21263,x21264,x21262))
% 149.08/148.77 [2127]~E(x21271,x21272)+E(f611(x21271,x21273,x21274),f611(x21272,x21273,x21274))
% 149.08/148.77 [2128]~E(x21281,x21282)+E(f611(x21283,x21281,x21284),f611(x21283,x21282,x21284))
% 149.08/148.77 [2129]~E(x21291,x21292)+E(f611(x21293,x21294,x21291),f611(x21293,x21294,x21292))
% 149.08/148.77 [2130]~E(x21301,x21302)+E(f663(x21301,x21303,x21304),f663(x21302,x21303,x21304))
% 149.08/148.77 [2131]~E(x21311,x21312)+E(f663(x21313,x21311,x21314),f663(x21313,x21312,x21314))
% 149.08/148.77 [2132]~E(x21321,x21322)+E(f663(x21323,x21324,x21321),f663(x21323,x21324,x21322))
% 149.08/148.77 [2133]~E(x21331,x21332)+E(f389(x21331,x21333),f389(x21332,x21333))
% 149.08/148.77 [2134]~E(x21341,x21342)+E(f389(x21343,x21341),f389(x21343,x21342))
% 149.08/148.77 [2135]~E(x21351,x21352)+E(f779(x21351,x21353,x21354,x21355,x21356),f779(x21352,x21353,x21354,x21355,x21356))
% 149.08/148.77 [2136]~E(x21361,x21362)+E(f779(x21363,x21361,x21364,x21365,x21366),f779(x21363,x21362,x21364,x21365,x21366))
% 149.08/148.77 [2137]~E(x21371,x21372)+E(f779(x21373,x21374,x21371,x21375,x21376),f779(x21373,x21374,x21372,x21375,x21376))
% 149.08/148.77 [2138]~E(x21381,x21382)+E(f779(x21383,x21384,x21385,x21381,x21386),f779(x21383,x21384,x21385,x21382,x21386))
% 149.08/148.77 [2139]~E(x21391,x21392)+E(f779(x21393,x21394,x21395,x21396,x21391),f779(x21393,x21394,x21395,x21396,x21392))
% 149.08/148.77 [2140]~E(x21401,x21402)+E(f826(x21401,x21403,x21404,x21405),f826(x21402,x21403,x21404,x21405))
% 149.08/148.77 [2141]~E(x21411,x21412)+E(f826(x21413,x21411,x21414,x21415),f826(x21413,x21412,x21414,x21415))
% 149.08/148.77 [2142]~E(x21421,x21422)+E(f826(x21423,x21424,x21421,x21425),f826(x21423,x21424,x21422,x21425))
% 149.08/148.77 [2143]~E(x21431,x21432)+E(f826(x21433,x21434,x21435,x21431),f826(x21433,x21434,x21435,x21432))
% 149.08/148.77 [2144]~E(x21441,x21442)+E(f713(x21441,x21443,x21444),f713(x21442,x21443,x21444))
% 149.08/148.77 [2145]~E(x21451,x21452)+E(f713(x21453,x21451,x21454),f713(x21453,x21452,x21454))
% 149.08/148.77 [2146]~E(x21461,x21462)+E(f713(x21463,x21464,x21461),f713(x21463,x21464,x21462))
% 149.08/148.77 [2147]~E(x21471,x21472)+E(f588(x21471,x21473,x21474,x21475),f588(x21472,x21473,x21474,x21475))
% 149.08/148.77 [2148]~E(x21481,x21482)+E(f588(x21483,x21481,x21484,x21485),f588(x21483,x21482,x21484,x21485))
% 149.08/148.77 [2149]~E(x21491,x21492)+E(f588(x21493,x21494,x21491,x21495),f588(x21493,x21494,x21492,x21495))
% 149.08/148.77 [2150]~E(x21501,x21502)+E(f588(x21503,x21504,x21505,x21501),f588(x21503,x21504,x21505,x21502))
% 149.08/148.77 [2151]~E(x21511,x21512)+E(f253(x21511,x21513,x21514),f253(x21512,x21513,x21514))
% 149.08/148.77 [2152]~E(x21521,x21522)+E(f253(x21523,x21521,x21524),f253(x21523,x21522,x21524))
% 149.08/148.77 [2153]~E(x21531,x21532)+E(f253(x21533,x21534,x21531),f253(x21533,x21534,x21532))
% 149.08/148.77 [2154]~E(x21541,x21542)+E(f398(x21541,x21543,x21544,x21545),f398(x21542,x21543,x21544,x21545))
% 149.08/148.77 [2155]~E(x21551,x21552)+E(f398(x21553,x21551,x21554,x21555),f398(x21553,x21552,x21554,x21555))
% 149.08/148.77 [2156]~E(x21561,x21562)+E(f398(x21563,x21564,x21561,x21565),f398(x21563,x21564,x21562,x21565))
% 149.08/148.77 [2157]~E(x21571,x21572)+E(f398(x21573,x21574,x21575,x21571),f398(x21573,x21574,x21575,x21572))
% 149.08/148.77 [2158]~E(x21581,x21582)+E(f740(x21581,x21583,x21584),f740(x21582,x21583,x21584))
% 149.08/148.77 [2159]~E(x21591,x21592)+E(f740(x21593,x21591,x21594),f740(x21593,x21592,x21594))
% 149.08/148.77 [2160]~E(x21601,x21602)+E(f740(x21603,x21604,x21601),f740(x21603,x21604,x21602))
% 149.08/148.77 [2161]~E(x21611,x21612)+E(f555(x21611,x21613,x21614,x21615,x21616),f555(x21612,x21613,x21614,x21615,x21616))
% 149.08/148.77 [2162]~E(x21621,x21622)+E(f555(x21623,x21621,x21624,x21625,x21626),f555(x21623,x21622,x21624,x21625,x21626))
% 149.08/148.77 [2163]~E(x21631,x21632)+E(f555(x21633,x21634,x21631,x21635,x21636),f555(x21633,x21634,x21632,x21635,x21636))
% 149.08/148.77 [2164]~E(x21641,x21642)+E(f555(x21643,x21644,x21645,x21641,x21646),f555(x21643,x21644,x21645,x21642,x21646))
% 149.08/148.77 [2165]~E(x21651,x21652)+E(f555(x21653,x21654,x21655,x21656,x21651),f555(x21653,x21654,x21655,x21656,x21652))
% 149.08/148.77 [2166]~E(x21661,x21662)+E(f374(x21661,x21663),f374(x21662,x21663))
% 149.08/148.77 [2167]~E(x21671,x21672)+E(f374(x21673,x21671),f374(x21673,x21672))
% 149.08/148.77 [2168]~E(x21681,x21682)+E(f505(x21681,x21683,x21684),f505(x21682,x21683,x21684))
% 149.08/148.77 [2169]~E(x21691,x21692)+E(f505(x21693,x21691,x21694),f505(x21693,x21692,x21694))
% 149.08/148.77 [2170]~E(x21701,x21702)+E(f505(x21703,x21704,x21701),f505(x21703,x21704,x21702))
% 149.08/148.77 [2171]~E(x21711,x21712)+E(f732(x21711,x21713,x21714),f732(x21712,x21713,x21714))
% 149.08/148.77 [2172]~E(x21721,x21722)+E(f732(x21723,x21721,x21724),f732(x21723,x21722,x21724))
% 149.08/148.77 [2173]~E(x21731,x21732)+E(f732(x21733,x21734,x21731),f732(x21733,x21734,x21732))
% 149.08/148.77 [2174]~E(x21741,x21742)+E(f383(x21741),f383(x21742))
% 149.08/148.77 [2175]~E(x21751,x21752)+E(f650(x21751,x21753,x21754,x21755,x21756),f650(x21752,x21753,x21754,x21755,x21756))
% 149.08/148.77 [2176]~E(x21761,x21762)+E(f650(x21763,x21761,x21764,x21765,x21766),f650(x21763,x21762,x21764,x21765,x21766))
% 149.08/148.77 [2177]~E(x21771,x21772)+E(f650(x21773,x21774,x21771,x21775,x21776),f650(x21773,x21774,x21772,x21775,x21776))
% 149.08/148.77 [2178]~E(x21781,x21782)+E(f650(x21783,x21784,x21785,x21781,x21786),f650(x21783,x21784,x21785,x21782,x21786))
% 149.08/148.77 [2179]~E(x21791,x21792)+E(f650(x21793,x21794,x21795,x21796,x21791),f650(x21793,x21794,x21795,x21796,x21792))
% 149.08/148.77 [2180]~E(x21801,x21802)+E(f758(x21801,x21803,x21804,x21805),f758(x21802,x21803,x21804,x21805))
% 149.08/148.77 [2181]~E(x21811,x21812)+E(f758(x21813,x21811,x21814,x21815),f758(x21813,x21812,x21814,x21815))
% 149.08/148.77 [2182]~E(x21821,x21822)+E(f758(x21823,x21824,x21821,x21825),f758(x21823,x21824,x21822,x21825))
% 149.08/148.77 [2183]~E(x21831,x21832)+E(f758(x21833,x21834,x21835,x21831),f758(x21833,x21834,x21835,x21832))
% 149.08/148.77 [2184]~E(x21841,x21842)+E(f395(x21841,x21843,x21844,x21845),f395(x21842,x21843,x21844,x21845))
% 149.08/148.77 [2185]~E(x21851,x21852)+E(f395(x21853,x21851,x21854,x21855),f395(x21853,x21852,x21854,x21855))
% 149.08/148.77 [2186]~E(x21861,x21862)+E(f395(x21863,x21864,x21861,x21865),f395(x21863,x21864,x21862,x21865))
% 149.08/148.77 [2187]~E(x21871,x21872)+E(f395(x21873,x21874,x21875,x21871),f395(x21873,x21874,x21875,x21872))
% 149.08/148.77 [2188]~E(x21881,x21882)+E(f696(x21881,x21883,x21884,x21885),f696(x21882,x21883,x21884,x21885))
% 149.08/148.77 [2189]~E(x21891,x21892)+E(f696(x21893,x21891,x21894,x21895),f696(x21893,x21892,x21894,x21895))
% 149.08/148.77 [2190]~E(x21901,x21902)+E(f696(x21903,x21904,x21901,x21905),f696(x21903,x21904,x21902,x21905))
% 149.08/148.77 [2191]~E(x21911,x21912)+E(f696(x21913,x21914,x21915,x21911),f696(x21913,x21914,x21915,x21912))
% 149.08/148.77 [2192]~E(x21921,x21922)+E(f768(x21921,x21923,x21924,x21925),f768(x21922,x21923,x21924,x21925))
% 149.08/148.77 [2193]~E(x21931,x21932)+E(f768(x21933,x21931,x21934,x21935),f768(x21933,x21932,x21934,x21935))
% 149.08/148.77 [2194]~E(x21941,x21942)+E(f768(x21943,x21944,x21941,x21945),f768(x21943,x21944,x21942,x21945))
% 149.08/148.77 [2195]~E(x21951,x21952)+E(f768(x21953,x21954,x21955,x21951),f768(x21953,x21954,x21955,x21952))
% 149.08/148.77 [2196]~E(x21961,x21962)+E(f335(x21961,x21963,x21964,x21965,x21966),f335(x21962,x21963,x21964,x21965,x21966))
% 149.08/148.77 [2197]~E(x21971,x21972)+E(f335(x21973,x21971,x21974,x21975,x21976),f335(x21973,x21972,x21974,x21975,x21976))
% 149.08/148.77 [2198]~E(x21981,x21982)+E(f335(x21983,x21984,x21981,x21985,x21986),f335(x21983,x21984,x21982,x21985,x21986))
% 149.08/148.77 [2199]~E(x21991,x21992)+E(f335(x21993,x21994,x21995,x21991,x21996),f335(x21993,x21994,x21995,x21992,x21996))
% 149.08/148.77 [2200]~E(x22001,x22002)+E(f335(x22003,x22004,x22005,x22006,x22001),f335(x22003,x22004,x22005,x22006,x22002))
% 149.08/148.77 [2201]~E(x22011,x22012)+E(f836(x22011),f836(x22012))
% 149.08/148.77 [2202]~E(x22021,x22022)+E(f573(x22021,x22023),f573(x22022,x22023))
% 149.08/148.77 [2203]~E(x22031,x22032)+E(f573(x22033,x22031),f573(x22033,x22032))
% 149.08/148.77 [2204]~E(x22041,x22042)+E(f786(x22041,x22043,x22044,x22045,x22046,x22047,x22048),f786(x22042,x22043,x22044,x22045,x22046,x22047,x22048))
% 149.08/148.77 [2205]~E(x22051,x22052)+E(f786(x22053,x22051,x22054,x22055,x22056,x22057,x22058),f786(x22053,x22052,x22054,x22055,x22056,x22057,x22058))
% 149.08/148.77 [2206]~E(x22061,x22062)+E(f786(x22063,x22064,x22061,x22065,x22066,x22067,x22068),f786(x22063,x22064,x22062,x22065,x22066,x22067,x22068))
% 149.08/148.77 [2207]~E(x22071,x22072)+E(f786(x22073,x22074,x22075,x22071,x22076,x22077,x22078),f786(x22073,x22074,x22075,x22072,x22076,x22077,x22078))
% 149.08/148.77 [2208]~E(x22081,x22082)+E(f786(x22083,x22084,x22085,x22086,x22081,x22087,x22088),f786(x22083,x22084,x22085,x22086,x22082,x22087,x22088))
% 149.08/148.77 [2209]~E(x22091,x22092)+E(f786(x22093,x22094,x22095,x22096,x22097,x22091,x22098),f786(x22093,x22094,x22095,x22096,x22097,x22092,x22098))
% 149.08/148.77 [2210]~E(x22101,x22102)+E(f786(x22103,x22104,x22105,x22106,x22107,x22108,x22101),f786(x22103,x22104,x22105,x22106,x22107,x22108,x22102))
% 149.08/148.77 [2211]~E(x22111,x22112)+E(f822(x22111,x22113,x22114,x22115,x22116),f822(x22112,x22113,x22114,x22115,x22116))
% 149.08/148.77 [2212]~E(x22121,x22122)+E(f822(x22123,x22121,x22124,x22125,x22126),f822(x22123,x22122,x22124,x22125,x22126))
% 149.08/148.77 [2213]~E(x22131,x22132)+E(f822(x22133,x22134,x22131,x22135,x22136),f822(x22133,x22134,x22132,x22135,x22136))
% 149.08/148.77 [2214]~E(x22141,x22142)+E(f822(x22143,x22144,x22145,x22141,x22146),f822(x22143,x22144,x22145,x22142,x22146))
% 149.08/148.77 [2215]~E(x22151,x22152)+E(f822(x22153,x22154,x22155,x22156,x22151),f822(x22153,x22154,x22155,x22156,x22152))
% 149.08/148.77 [2216]~E(x22161,x22162)+E(f98(x22161,x22163,x22164),f98(x22162,x22163,x22164))
% 149.08/148.77 [2217]~E(x22171,x22172)+E(f98(x22173,x22171,x22174),f98(x22173,x22172,x22174))
% 149.08/148.77 [2218]~E(x22181,x22182)+E(f98(x22183,x22184,x22181),f98(x22183,x22184,x22182))
% 149.08/148.77 [2219]~E(x22191,x22192)+E(f334(x22191,x22193,x22194),f334(x22192,x22193,x22194))
% 149.08/148.77 [2220]~E(x22201,x22202)+E(f334(x22203,x22201,x22204),f334(x22203,x22202,x22204))
% 149.08/148.77 [2221]~E(x22211,x22212)+E(f334(x22213,x22214,x22211),f334(x22213,x22214,x22212))
% 149.08/148.77 [2222]~E(x22221,x22222)+E(f614(x22221,x22223,x22224,x22225,x22226,x22227),f614(x22222,x22223,x22224,x22225,x22226,x22227))
% 149.08/148.77 [2223]~E(x22231,x22232)+E(f614(x22233,x22231,x22234,x22235,x22236,x22237),f614(x22233,x22232,x22234,x22235,x22236,x22237))
% 149.08/148.77 [2224]~E(x22241,x22242)+E(f614(x22243,x22244,x22241,x22245,x22246,x22247),f614(x22243,x22244,x22242,x22245,x22246,x22247))
% 149.08/148.77 [2225]~E(x22251,x22252)+E(f614(x22253,x22254,x22255,x22251,x22256,x22257),f614(x22253,x22254,x22255,x22252,x22256,x22257))
% 149.08/148.77 [2226]~E(x22261,x22262)+E(f614(x22263,x22264,x22265,x22266,x22261,x22267),f614(x22263,x22264,x22265,x22266,x22262,x22267))
% 149.08/148.77 [2227]~E(x22271,x22272)+E(f614(x22273,x22274,x22275,x22276,x22277,x22271),f614(x22273,x22274,x22275,x22276,x22277,x22272))
% 149.08/148.77 [2228]~E(x22281,x22282)+E(f503(x22281,x22283,x22284,x22285),f503(x22282,x22283,x22284,x22285))
% 149.08/148.77 [2229]~E(x22291,x22292)+E(f503(x22293,x22291,x22294,x22295),f503(x22293,x22292,x22294,x22295))
% 149.08/148.77 [2230]~E(x22301,x22302)+E(f503(x22303,x22304,x22301,x22305),f503(x22303,x22304,x22302,x22305))
% 149.08/148.77 [2231]~E(x22311,x22312)+E(f503(x22313,x22314,x22315,x22311),f503(x22313,x22314,x22315,x22312))
% 149.08/148.77 [2232]~E(x22321,x22322)+E(f743(x22321,x22323,x22324,x22325,x22326),f743(x22322,x22323,x22324,x22325,x22326))
% 149.08/148.77 [2233]~E(x22331,x22332)+E(f743(x22333,x22331,x22334,x22335,x22336),f743(x22333,x22332,x22334,x22335,x22336))
% 149.08/148.77 [2234]~E(x22341,x22342)+E(f743(x22343,x22344,x22341,x22345,x22346),f743(x22343,x22344,x22342,x22345,x22346))
% 149.08/148.77 [2235]~E(x22351,x22352)+E(f743(x22353,x22354,x22355,x22351,x22356),f743(x22353,x22354,x22355,x22352,x22356))
% 149.08/148.77 [2236]~E(x22361,x22362)+E(f743(x22363,x22364,x22365,x22366,x22361),f743(x22363,x22364,x22365,x22366,x22362))
% 149.08/148.77 [2237]~E(x22371,x22372)+E(f851(x22371,x22373,x22374),f851(x22372,x22373,x22374))
% 149.08/148.77 [2238]~E(x22381,x22382)+E(f851(x22383,x22381,x22384),f851(x22383,x22382,x22384))
% 149.08/148.77 [2239]~E(x22391,x22392)+E(f851(x22393,x22394,x22391),f851(x22393,x22394,x22392))
% 149.08/148.77 [2240]~E(x22401,x22402)+E(f431(x22401,x22403,x22404),f431(x22402,x22403,x22404))
% 149.08/148.77 [2241]~E(x22411,x22412)+E(f431(x22413,x22411,x22414),f431(x22413,x22412,x22414))
% 149.08/148.77 [2242]~E(x22421,x22422)+E(f431(x22423,x22424,x22421),f431(x22423,x22424,x22422))
% 149.08/148.77 [2243]~E(x22431,x22432)+E(f339(x22431,x22433,x22434,x22435),f339(x22432,x22433,x22434,x22435))
% 149.08/148.77 [2244]~E(x22441,x22442)+E(f339(x22443,x22441,x22444,x22445),f339(x22443,x22442,x22444,x22445))
% 149.08/148.77 [2245]~E(x22451,x22452)+E(f339(x22453,x22454,x22451,x22455),f339(x22453,x22454,x22452,x22455))
% 149.08/148.77 [2246]~E(x22461,x22462)+E(f339(x22463,x22464,x22465,x22461),f339(x22463,x22464,x22465,x22462))
% 149.08/148.77 [2247]~E(x22471,x22472)+E(f484(x22471,x22473,x22474,x22475,x22476),f484(x22472,x22473,x22474,x22475,x22476))
% 149.08/148.77 [2248]~E(x22481,x22482)+E(f484(x22483,x22481,x22484,x22485,x22486),f484(x22483,x22482,x22484,x22485,x22486))
% 149.08/148.77 [2249]~E(x22491,x22492)+E(f484(x22493,x22494,x22491,x22495,x22496),f484(x22493,x22494,x22492,x22495,x22496))
% 149.08/148.77 [2250]~E(x22501,x22502)+E(f484(x22503,x22504,x22505,x22501,x22506),f484(x22503,x22504,x22505,x22502,x22506))
% 149.08/148.77 [2251]~E(x22511,x22512)+E(f484(x22513,x22514,x22515,x22516,x22511),f484(x22513,x22514,x22515,x22516,x22512))
% 149.08/148.77 [2252]~E(x22521,x22522)+E(f506(x22521,x22523,x22524,x22525),f506(x22522,x22523,x22524,x22525))
% 149.08/148.77 [2253]~E(x22531,x22532)+E(f506(x22533,x22531,x22534,x22535),f506(x22533,x22532,x22534,x22535))
% 149.08/148.77 [2254]~E(x22541,x22542)+E(f506(x22543,x22544,x22541,x22545),f506(x22543,x22544,x22542,x22545))
% 149.08/148.77 [2255]~E(x22551,x22552)+E(f506(x22553,x22554,x22555,x22551),f506(x22553,x22554,x22555,x22552))
% 149.08/148.77 [2256]~E(x22561,x22562)+E(f668(x22561,x22563,x22564,x22565),f668(x22562,x22563,x22564,x22565))
% 149.08/148.77 [2257]~E(x22571,x22572)+E(f668(x22573,x22571,x22574,x22575),f668(x22573,x22572,x22574,x22575))
% 149.08/148.77 [2258]~E(x22581,x22582)+E(f668(x22583,x22584,x22581,x22585),f668(x22583,x22584,x22582,x22585))
% 149.08/148.77 [2259]~E(x22591,x22592)+E(f668(x22593,x22594,x22595,x22591),f668(x22593,x22594,x22595,x22592))
% 149.08/148.77 [2260]~E(x22601,x22602)+E(f625(x22601,x22603,x22604),f625(x22602,x22603,x22604))
% 149.08/148.77 [2261]~E(x22611,x22612)+E(f625(x22613,x22611,x22614),f625(x22613,x22612,x22614))
% 149.08/148.77 [2262]~E(x22621,x22622)+E(f625(x22623,x22624,x22621),f625(x22623,x22624,x22622))
% 149.08/148.77 [2263]~E(x22631,x22632)+E(f660(x22631,x22633,x22634,x22635,x22636),f660(x22632,x22633,x22634,x22635,x22636))
% 149.08/148.77 [2264]~E(x22641,x22642)+E(f660(x22643,x22641,x22644,x22645,x22646),f660(x22643,x22642,x22644,x22645,x22646))
% 149.08/148.77 [2265]~E(x22651,x22652)+E(f660(x22653,x22654,x22651,x22655,x22656),f660(x22653,x22654,x22652,x22655,x22656))
% 149.08/148.77 [2266]~E(x22661,x22662)+E(f660(x22663,x22664,x22665,x22661,x22666),f660(x22663,x22664,x22665,x22662,x22666))
% 149.08/148.77 [2267]~E(x22671,x22672)+E(f660(x22673,x22674,x22675,x22676,x22671),f660(x22673,x22674,x22675,x22676,x22672))
% 149.08/148.77 [2268]~E(x22681,x22682)+E(f216(x22681,x22683,x22684,x22685,x22686,x22687,x22688),f216(x22682,x22683,x22684,x22685,x22686,x22687,x22688))
% 149.08/148.77 [2269]~E(x22691,x22692)+E(f216(x22693,x22691,x22694,x22695,x22696,x22697,x22698),f216(x22693,x22692,x22694,x22695,x22696,x22697,x22698))
% 149.08/148.77 [2270]~E(x22701,x22702)+E(f216(x22703,x22704,x22701,x22705,x22706,x22707,x22708),f216(x22703,x22704,x22702,x22705,x22706,x22707,x22708))
% 149.08/148.77 [2271]~E(x22711,x22712)+E(f216(x22713,x22714,x22715,x22711,x22716,x22717,x22718),f216(x22713,x22714,x22715,x22712,x22716,x22717,x22718))
% 149.08/148.77 [2272]~E(x22721,x22722)+E(f216(x22723,x22724,x22725,x22726,x22721,x22727,x22728),f216(x22723,x22724,x22725,x22726,x22722,x22727,x22728))
% 149.08/148.77 [2273]~E(x22731,x22732)+E(f216(x22733,x22734,x22735,x22736,x22737,x22731,x22738),f216(x22733,x22734,x22735,x22736,x22737,x22732,x22738))
% 149.08/148.77 [2274]~E(x22741,x22742)+E(f216(x22743,x22744,x22745,x22746,x22747,x22748,x22741),f216(x22743,x22744,x22745,x22746,x22747,x22748,x22742))
% 149.08/148.77 [2275]~E(x22751,x22752)+E(f638(x22751,x22753,x22754),f638(x22752,x22753,x22754))
% 149.08/148.77 [2276]~E(x22761,x22762)+E(f638(x22763,x22761,x22764),f638(x22763,x22762,x22764))
% 149.08/148.77 [2277]~E(x22771,x22772)+E(f638(x22773,x22774,x22771),f638(x22773,x22774,x22772))
% 149.08/148.77 [2278]~E(x22781,x22782)+E(f429(x22781),f429(x22782))
% 149.08/148.77 [2279]~E(x22791,x22792)+E(f633(x22791,x22793,x22794,x22795,x22796,x22797,x22798,x22799),f633(x22792,x22793,x22794,x22795,x22796,x22797,x22798,x22799))
% 149.08/148.77 [2280]~E(x22801,x22802)+E(f633(x22803,x22801,x22804,x22805,x22806,x22807,x22808,x22809),f633(x22803,x22802,x22804,x22805,x22806,x22807,x22808,x22809))
% 149.08/148.77 [2281]~E(x22811,x22812)+E(f633(x22813,x22814,x22811,x22815,x22816,x22817,x22818,x22819),f633(x22813,x22814,x22812,x22815,x22816,x22817,x22818,x22819))
% 149.08/148.77 [2282]~E(x22821,x22822)+E(f633(x22823,x22824,x22825,x22821,x22826,x22827,x22828,x22829),f633(x22823,x22824,x22825,x22822,x22826,x22827,x22828,x22829))
% 149.08/148.77 [2283]~E(x22831,x22832)+E(f633(x22833,x22834,x22835,x22836,x22831,x22837,x22838,x22839),f633(x22833,x22834,x22835,x22836,x22832,x22837,x22838,x22839))
% 149.08/148.77 [2284]~E(x22841,x22842)+E(f633(x22843,x22844,x22845,x22846,x22847,x22841,x22848,x22849),f633(x22843,x22844,x22845,x22846,x22847,x22842,x22848,x22849))
% 149.08/148.77 [2285]~E(x22851,x22852)+E(f633(x22853,x22854,x22855,x22856,x22857,x22858,x22851,x22859),f633(x22853,x22854,x22855,x22856,x22857,x22858,x22852,x22859))
% 149.08/148.77 [2286]~E(x22861,x22862)+E(f633(x22863,x22864,x22865,x22866,x22867,x22868,x22869,x22861),f633(x22863,x22864,x22865,x22866,x22867,x22868,x22869,x22862))
% 149.08/148.77 [2287]~E(x22871,x22872)+E(f767(x22871,x22873,x22874,x22875,x22876,x22877,x22878,x22879),f767(x22872,x22873,x22874,x22875,x22876,x22877,x22878,x22879))
% 149.08/148.77 [2288]~E(x22881,x22882)+E(f767(x22883,x22881,x22884,x22885,x22886,x22887,x22888,x22889),f767(x22883,x22882,x22884,x22885,x22886,x22887,x22888,x22889))
% 149.08/148.77 [2289]~E(x22891,x22892)+E(f767(x22893,x22894,x22891,x22895,x22896,x22897,x22898,x22899),f767(x22893,x22894,x22892,x22895,x22896,x22897,x22898,x22899))
% 149.08/148.77 [2290]~E(x22901,x22902)+E(f767(x22903,x22904,x22905,x22901,x22906,x22907,x22908,x22909),f767(x22903,x22904,x22905,x22902,x22906,x22907,x22908,x22909))
% 149.08/148.77 [2291]~E(x22911,x22912)+E(f767(x22913,x22914,x22915,x22916,x22911,x22917,x22918,x22919),f767(x22913,x22914,x22915,x22916,x22912,x22917,x22918,x22919))
% 149.08/148.77 [2292]~E(x22921,x22922)+E(f767(x22923,x22924,x22925,x22926,x22927,x22921,x22928,x22929),f767(x22923,x22924,x22925,x22926,x22927,x22922,x22928,x22929))
% 149.08/148.77 [2293]~E(x22931,x22932)+E(f767(x22933,x22934,x22935,x22936,x22937,x22938,x22931,x22939),f767(x22933,x22934,x22935,x22936,x22937,x22938,x22932,x22939))
% 149.08/148.77 [2294]~E(x22941,x22942)+E(f767(x22943,x22944,x22945,x22946,x22947,x22948,x22949,x22941),f767(x22943,x22944,x22945,x22946,x22947,x22948,x22949,x22942))
% 149.08/148.77 [2295]~E(x22951,x22952)+E(f348(x22951),f348(x22952))
% 149.08/148.77 [2296]~E(x22961,x22962)+E(f703(x22961,x22963,x22964,x22965),f703(x22962,x22963,x22964,x22965))
% 149.08/148.77 [2297]~E(x22971,x22972)+E(f703(x22973,x22971,x22974,x22975),f703(x22973,x22972,x22974,x22975))
% 149.08/148.77 [2298]~E(x22981,x22982)+E(f703(x22983,x22984,x22981,x22985),f703(x22983,x22984,x22982,x22985))
% 149.08/148.77 [2299]~E(x22991,x22992)+E(f703(x22993,x22994,x22995,x22991),f703(x22993,x22994,x22995,x22992))
% 149.08/148.77 [2300]~E(x23001,x23002)+E(f838(x23001,x23003),f838(x23002,x23003))
% 149.08/148.77 [2301]~E(x23011,x23012)+E(f838(x23013,x23011),f838(x23013,x23012))
% 149.08/148.77 [2302]~E(x23021,x23022)+E(f286(x23021,x23023),f286(x23022,x23023))
% 149.08/148.77 [2303]~E(x23031,x23032)+E(f286(x23033,x23031),f286(x23033,x23032))
% 149.08/148.77 [2304]~E(x23041,x23042)+E(f536(x23041),f536(x23042))
% 149.08/148.77 [2305]~E(x23051,x23052)+E(f273(x23051,x23053),f273(x23052,x23053))
% 149.08/148.77 [2306]~E(x23061,x23062)+E(f273(x23063,x23061),f273(x23063,x23062))
% 149.08/148.77 [2307]~E(x23071,x23072)+E(f511(x23071,x23073,x23074),f511(x23072,x23073,x23074))
% 149.08/148.77 [2308]~E(x23081,x23082)+E(f511(x23083,x23081,x23084),f511(x23083,x23082,x23084))
% 149.08/148.77 [2309]~E(x23091,x23092)+E(f511(x23093,x23094,x23091),f511(x23093,x23094,x23092))
% 149.08/148.77 [2310]~E(x23101,x23102)+E(f841(x23101,x23103,x23104,x23105),f841(x23102,x23103,x23104,x23105))
% 149.08/148.77 [2311]~E(x23111,x23112)+E(f841(x23113,x23111,x23114,x23115),f841(x23113,x23112,x23114,x23115))
% 149.08/148.77 [2312]~E(x23121,x23122)+E(f841(x23123,x23124,x23121,x23125),f841(x23123,x23124,x23122,x23125))
% 149.08/148.77 [2313]~E(x23131,x23132)+E(f841(x23133,x23134,x23135,x23131),f841(x23133,x23134,x23135,x23132))
% 149.08/148.77 [2314]~E(x23141,x23142)+E(f622(x23141,x23143,x23144),f622(x23142,x23143,x23144))
% 149.08/148.77 [2315]~E(x23151,x23152)+E(f622(x23153,x23151,x23154),f622(x23153,x23152,x23154))
% 149.08/148.77 [2316]~E(x23161,x23162)+E(f622(x23163,x23164,x23161),f622(x23163,x23164,x23162))
% 149.08/148.77 [2317]~E(x23171,x23172)+E(f560(x23171,x23173,x23174,x23175,x23176,x23177,x23178,x23179),f560(x23172,x23173,x23174,x23175,x23176,x23177,x23178,x23179))
% 149.08/148.77 [2318]~E(x23181,x23182)+E(f560(x23183,x23181,x23184,x23185,x23186,x23187,x23188,x23189),f560(x23183,x23182,x23184,x23185,x23186,x23187,x23188,x23189))
% 149.08/148.77 [2319]~E(x23191,x23192)+E(f560(x23193,x23194,x23191,x23195,x23196,x23197,x23198,x23199),f560(x23193,x23194,x23192,x23195,x23196,x23197,x23198,x23199))
% 149.08/148.77 [2320]~E(x23201,x23202)+E(f560(x23203,x23204,x23205,x23201,x23206,x23207,x23208,x23209),f560(x23203,x23204,x23205,x23202,x23206,x23207,x23208,x23209))
% 149.08/148.77 [2321]~E(x23211,x23212)+E(f560(x23213,x23214,x23215,x23216,x23211,x23217,x23218,x23219),f560(x23213,x23214,x23215,x23216,x23212,x23217,x23218,x23219))
% 149.08/148.77 [2322]~E(x23221,x23222)+E(f560(x23223,x23224,x23225,x23226,x23227,x23221,x23228,x23229),f560(x23223,x23224,x23225,x23226,x23227,x23222,x23228,x23229))
% 149.08/148.77 [2323]~E(x23231,x23232)+E(f560(x23233,x23234,x23235,x23236,x23237,x23238,x23231,x23239),f560(x23233,x23234,x23235,x23236,x23237,x23238,x23232,x23239))
% 149.08/148.77 [2324]~E(x23241,x23242)+E(f560(x23243,x23244,x23245,x23246,x23247,x23248,x23249,x23241),f560(x23243,x23244,x23245,x23246,x23247,x23248,x23249,x23242))
% 149.08/148.77 [2325]~E(x23251,x23252)+E(f391(x23251,x23253),f391(x23252,x23253))
% 149.08/148.77 [2326]~E(x23261,x23262)+E(f391(x23263,x23261),f391(x23263,x23262))
% 149.08/148.77 [2327]~E(x23271,x23272)+E(f397(x23271,x23273,x23274,x23275),f397(x23272,x23273,x23274,x23275))
% 149.08/148.77 [2328]~E(x23281,x23282)+E(f397(x23283,x23281,x23284,x23285),f397(x23283,x23282,x23284,x23285))
% 149.08/148.77 [2329]~E(x23291,x23292)+E(f397(x23293,x23294,x23291,x23295),f397(x23293,x23294,x23292,x23295))
% 149.08/148.77 [2330]~E(x23301,x23302)+E(f397(x23303,x23304,x23305,x23301),f397(x23303,x23304,x23305,x23302))
% 149.08/148.77 [2331]~E(x23311,x23312)+E(f776(x23311,x23313,x23314,x23315),f776(x23312,x23313,x23314,x23315))
% 149.08/148.77 [2332]~E(x23321,x23322)+E(f776(x23323,x23321,x23324,x23325),f776(x23323,x23322,x23324,x23325))
% 149.08/148.77 [2333]~E(x23331,x23332)+E(f776(x23333,x23334,x23331,x23335),f776(x23333,x23334,x23332,x23335))
% 149.08/148.77 [2334]~E(x23341,x23342)+E(f776(x23343,x23344,x23345,x23341),f776(x23343,x23344,x23345,x23342))
% 149.08/148.77 [2335]~E(x23351,x23352)+E(f574(x23351,x23353),f574(x23352,x23353))
% 149.08/148.77 [2336]~E(x23361,x23362)+E(f574(x23363,x23361),f574(x23363,x23362))
% 149.08/148.77 [2337]~E(x23371,x23372)+E(f863(x23371,x23373),f863(x23372,x23373))
% 149.08/148.77 [2338]~E(x23381,x23382)+E(f863(x23383,x23381),f863(x23383,x23382))
% 149.08/148.77 [2339]~E(x23391,x23392)+E(f591(x23391,x23393,x23394,x23395,x23396,x23397,x23398,x23399),f591(x23392,x23393,x23394,x23395,x23396,x23397,x23398,x23399))
% 149.08/148.77 [2340]~E(x23401,x23402)+E(f591(x23403,x23401,x23404,x23405,x23406,x23407,x23408,x23409),f591(x23403,x23402,x23404,x23405,x23406,x23407,x23408,x23409))
% 149.08/148.77 [2341]~E(x23411,x23412)+E(f591(x23413,x23414,x23411,x23415,x23416,x23417,x23418,x23419),f591(x23413,x23414,x23412,x23415,x23416,x23417,x23418,x23419))
% 149.08/148.77 [2342]~E(x23421,x23422)+E(f591(x23423,x23424,x23425,x23421,x23426,x23427,x23428,x23429),f591(x23423,x23424,x23425,x23422,x23426,x23427,x23428,x23429))
% 149.08/148.77 [2343]~E(x23431,x23432)+E(f591(x23433,x23434,x23435,x23436,x23431,x23437,x23438,x23439),f591(x23433,x23434,x23435,x23436,x23432,x23437,x23438,x23439))
% 149.08/148.77 [2344]~E(x23441,x23442)+E(f591(x23443,x23444,x23445,x23446,x23447,x23441,x23448,x23449),f591(x23443,x23444,x23445,x23446,x23447,x23442,x23448,x23449))
% 149.08/148.77 [2345]~E(x23451,x23452)+E(f591(x23453,x23454,x23455,x23456,x23457,x23458,x23451,x23459),f591(x23453,x23454,x23455,x23456,x23457,x23458,x23452,x23459))
% 149.08/148.77 [2346]~E(x23461,x23462)+E(f591(x23463,x23464,x23465,x23466,x23467,x23468,x23469,x23461),f591(x23463,x23464,x23465,x23466,x23467,x23468,x23469,x23462))
% 149.08/148.77 [2347]~E(x23471,x23472)+E(f278(x23471,x23473,x23474,x23475),f278(x23472,x23473,x23474,x23475))
% 149.08/148.77 [2348]~E(x23481,x23482)+E(f278(x23483,x23481,x23484,x23485),f278(x23483,x23482,x23484,x23485))
% 149.08/148.77 [2349]~E(x23491,x23492)+E(f278(x23493,x23494,x23491,x23495),f278(x23493,x23494,x23492,x23495))
% 149.08/148.77 [2350]~E(x23501,x23502)+E(f278(x23503,x23504,x23505,x23501),f278(x23503,x23504,x23505,x23502))
% 149.08/148.77 [2351]~E(x23511,x23512)+E(f464(x23511,x23513,x23514),f464(x23512,x23513,x23514))
% 149.08/148.77 [2352]~E(x23521,x23522)+E(f464(x23523,x23521,x23524),f464(x23523,x23522,x23524))
% 149.08/148.77 [2353]~E(x23531,x23532)+E(f464(x23533,x23534,x23531),f464(x23533,x23534,x23532))
% 149.08/148.77 [2354]~E(x23541,x23542)+E(f465(x23541,x23543),f465(x23542,x23543))
% 149.08/148.77 [2355]~E(x23551,x23552)+E(f465(x23553,x23551),f465(x23553,x23552))
% 149.08/148.77 [2356]~E(x23561,x23562)+E(f766(x23561,x23563,x23564,x23565),f766(x23562,x23563,x23564,x23565))
% 149.08/148.77 [2357]~E(x23571,x23572)+E(f766(x23573,x23571,x23574,x23575),f766(x23573,x23572,x23574,x23575))
% 149.08/148.77 [2358]~E(x23581,x23582)+E(f766(x23583,x23584,x23581,x23585),f766(x23583,x23584,x23582,x23585))
% 149.08/148.77 [2359]~E(x23591,x23592)+E(f766(x23593,x23594,x23595,x23591),f766(x23593,x23594,x23595,x23592))
% 149.08/148.77 [2360]~E(x23601,x23602)+E(f595(x23601,x23603,x23604,x23605,x23606,x23607),f595(x23602,x23603,x23604,x23605,x23606,x23607))
% 149.08/148.77 [2361]~E(x23611,x23612)+E(f595(x23613,x23611,x23614,x23615,x23616,x23617),f595(x23613,x23612,x23614,x23615,x23616,x23617))
% 149.08/148.77 [2362]~E(x23621,x23622)+E(f595(x23623,x23624,x23621,x23625,x23626,x23627),f595(x23623,x23624,x23622,x23625,x23626,x23627))
% 149.08/148.77 [2363]~E(x23631,x23632)+E(f595(x23633,x23634,x23635,x23631,x23636,x23637),f595(x23633,x23634,x23635,x23632,x23636,x23637))
% 149.08/148.77 [2364]~E(x23641,x23642)+E(f595(x23643,x23644,x23645,x23646,x23641,x23647),f595(x23643,x23644,x23645,x23646,x23642,x23647))
% 149.08/148.77 [2365]~E(x23651,x23652)+E(f595(x23653,x23654,x23655,x23656,x23657,x23651),f595(x23653,x23654,x23655,x23656,x23657,x23652))
% 149.08/148.77 [2366]~E(x23661,x23662)+E(f570(x23661,x23663,x23664,x23665),f570(x23662,x23663,x23664,x23665))
% 149.08/148.77 [2367]~E(x23671,x23672)+E(f570(x23673,x23671,x23674,x23675),f570(x23673,x23672,x23674,x23675))
% 149.08/148.77 [2368]~E(x23681,x23682)+E(f570(x23683,x23684,x23681,x23685),f570(x23683,x23684,x23682,x23685))
% 149.08/148.77 [2369]~E(x23691,x23692)+E(f570(x23693,x23694,x23695,x23691),f570(x23693,x23694,x23695,x23692))
% 149.08/148.77 [2370]~E(x23701,x23702)+E(f482(x23701,x23703,x23704),f482(x23702,x23703,x23704))
% 149.08/148.77 [2371]~E(x23711,x23712)+E(f482(x23713,x23711,x23714),f482(x23713,x23712,x23714))
% 149.08/148.77 [2372]~E(x23721,x23722)+E(f482(x23723,x23724,x23721),f482(x23723,x23724,x23722))
% 149.08/148.77 [2373]~E(x23731,x23732)+E(f558(x23731,x23733,x23734),f558(x23732,x23733,x23734))
% 149.08/148.77 [2374]~E(x23741,x23742)+E(f558(x23743,x23741,x23744),f558(x23743,x23742,x23744))
% 149.08/148.77 [2375]~E(x23751,x23752)+E(f558(x23753,x23754,x23751),f558(x23753,x23754,x23752))
% 149.08/148.77 [2376]~E(x23761,x23762)+E(f471(x23761,x23763),f471(x23762,x23763))
% 149.08/148.77 [2377]~E(x23771,x23772)+E(f471(x23773,x23771),f471(x23773,x23772))
% 149.08/148.77 [2378]~E(x23781,x23782)+E(f604(x23781,x23783,x23784),f604(x23782,x23783,x23784))
% 149.08/148.77 [2379]~E(x23791,x23792)+E(f604(x23793,x23791,x23794),f604(x23793,x23792,x23794))
% 149.08/148.77 [2380]~E(x23801,x23802)+E(f604(x23803,x23804,x23801),f604(x23803,x23804,x23802))
% 149.08/148.77 [2381]~E(x23811,x23812)+E(f613(x23811,x23813,x23814,x23815,x23816,x23817),f613(x23812,x23813,x23814,x23815,x23816,x23817))
% 149.08/148.77 [2382]~E(x23821,x23822)+E(f613(x23823,x23821,x23824,x23825,x23826,x23827),f613(x23823,x23822,x23824,x23825,x23826,x23827))
% 149.08/148.77 [2383]~E(x23831,x23832)+E(f613(x23833,x23834,x23831,x23835,x23836,x23837),f613(x23833,x23834,x23832,x23835,x23836,x23837))
% 149.08/148.77 [2384]~E(x23841,x23842)+E(f613(x23843,x23844,x23845,x23841,x23846,x23847),f613(x23843,x23844,x23845,x23842,x23846,x23847))
% 149.08/148.77 [2385]~E(x23851,x23852)+E(f613(x23853,x23854,x23855,x23856,x23851,x23857),f613(x23853,x23854,x23855,x23856,x23852,x23857))
% 149.08/148.77 [2386]~E(x23861,x23862)+E(f613(x23863,x23864,x23865,x23866,x23867,x23861),f613(x23863,x23864,x23865,x23866,x23867,x23862))
% 149.08/148.77 [2387]~E(x23871,x23872)+E(f797(x23871,x23873,x23874,x23875),f797(x23872,x23873,x23874,x23875))
% 149.08/148.77 [2388]~E(x23881,x23882)+E(f797(x23883,x23881,x23884,x23885),f797(x23883,x23882,x23884,x23885))
% 149.08/148.77 [2389]~E(x23891,x23892)+E(f797(x23893,x23894,x23891,x23895),f797(x23893,x23894,x23892,x23895))
% 149.08/148.77 [2390]~E(x23901,x23902)+E(f797(x23903,x23904,x23905,x23901),f797(x23903,x23904,x23905,x23902))
% 149.08/148.77 [2391]~E(x23911,x23912)+E(f793(x23911,x23913,x23914),f793(x23912,x23913,x23914))
% 149.08/148.77 [2392]~E(x23921,x23922)+E(f793(x23923,x23921,x23924),f793(x23923,x23922,x23924))
% 149.08/148.77 [2393]~E(x23931,x23932)+E(f793(x23933,x23934,x23931),f793(x23933,x23934,x23932))
% 149.08/148.77 [2394]~E(x23941,x23942)+E(f269(x23941,x23943,x23944,x23945,x23946),f269(x23942,x23943,x23944,x23945,x23946))
% 149.08/148.77 [2395]~E(x23951,x23952)+E(f269(x23953,x23951,x23954,x23955,x23956),f269(x23953,x23952,x23954,x23955,x23956))
% 149.08/148.77 [2396]~E(x23961,x23962)+E(f269(x23963,x23964,x23961,x23965,x23966),f269(x23963,x23964,x23962,x23965,x23966))
% 149.08/148.77 [2397]~E(x23971,x23972)+E(f269(x23973,x23974,x23975,x23971,x23976),f269(x23973,x23974,x23975,x23972,x23976))
% 149.08/148.77 [2398]~E(x23981,x23982)+E(f269(x23983,x23984,x23985,x23986,x23981),f269(x23983,x23984,x23985,x23986,x23982))
% 149.08/148.77 [2399]~E(x23991,x23992)+E(f412(x23991,x23993,x23994,x23995),f412(x23992,x23993,x23994,x23995))
% 149.08/148.77 [2400]~E(x24001,x24002)+E(f412(x24003,x24001,x24004,x24005),f412(x24003,x24002,x24004,x24005))
% 149.08/148.77 [2401]~E(x24011,x24012)+E(f412(x24013,x24014,x24011,x24015),f412(x24013,x24014,x24012,x24015))
% 149.08/148.77 [2402]~E(x24021,x24022)+E(f412(x24023,x24024,x24025,x24021),f412(x24023,x24024,x24025,x24022))
% 149.08/148.77 [2403]~E(x24031,x24032)+E(f664(x24031,x24033,x24034,x24035,x24036),f664(x24032,x24033,x24034,x24035,x24036))
% 149.08/148.77 [2404]~E(x24041,x24042)+E(f664(x24043,x24041,x24044,x24045,x24046),f664(x24043,x24042,x24044,x24045,x24046))
% 149.08/148.77 [2405]~E(x24051,x24052)+E(f664(x24053,x24054,x24051,x24055,x24056),f664(x24053,x24054,x24052,x24055,x24056))
% 149.08/148.77 [2406]~E(x24061,x24062)+E(f664(x24063,x24064,x24065,x24061,x24066),f664(x24063,x24064,x24065,x24062,x24066))
% 149.08/148.77 [2407]~E(x24071,x24072)+E(f664(x24073,x24074,x24075,x24076,x24071),f664(x24073,x24074,x24075,x24076,x24072))
% 149.08/148.77 [2408]~E(x24081,x24082)+E(f839(x24081,x24083,x24084),f839(x24082,x24083,x24084))
% 149.08/148.77 [2409]~E(x24091,x24092)+E(f839(x24093,x24091,x24094),f839(x24093,x24092,x24094))
% 149.08/148.77 [2410]~E(x24101,x24102)+E(f839(x24103,x24104,x24101),f839(x24103,x24104,x24102))
% 149.08/148.77 [2411]~E(x24111,x24112)+E(f675(x24111,x24113,x24114),f675(x24112,x24113,x24114))
% 149.08/148.77 [2412]~E(x24121,x24122)+E(f675(x24123,x24121,x24124),f675(x24123,x24122,x24124))
% 149.08/148.77 [2413]~E(x24131,x24132)+E(f675(x24133,x24134,x24131),f675(x24133,x24134,x24132))
% 149.08/148.77 [2414]~E(x24141,x24142)+E(f787(x24141,x24143,x24144),f787(x24142,x24143,x24144))
% 149.08/148.77 [2415]~E(x24151,x24152)+E(f787(x24153,x24151,x24154),f787(x24153,x24152,x24154))
% 149.08/148.77 [2416]~E(x24161,x24162)+E(f787(x24163,x24164,x24161),f787(x24163,x24164,x24162))
% 149.08/148.77 [2417]~E(x24171,x24172)+E(f861(x24171,x24173,x24174,x24175,x24176),f861(x24172,x24173,x24174,x24175,x24176))
% 149.08/148.77 [2418]~E(x24181,x24182)+E(f861(x24183,x24181,x24184,x24185,x24186),f861(x24183,x24182,x24184,x24185,x24186))
% 149.08/148.77 [2419]~E(x24191,x24192)+E(f861(x24193,x24194,x24191,x24195,x24196),f861(x24193,x24194,x24192,x24195,x24196))
% 149.08/148.77 [2420]~E(x24201,x24202)+E(f861(x24203,x24204,x24205,x24201,x24206),f861(x24203,x24204,x24205,x24202,x24206))
% 149.08/148.77 [2421]~E(x24211,x24212)+E(f861(x24213,x24214,x24215,x24216,x24211),f861(x24213,x24214,x24215,x24216,x24212))
% 149.08/148.77 [2422]~E(x24221,x24222)+E(f517(x24221,x24223,x24224),f517(x24222,x24223,x24224))
% 149.08/148.77 [2423]~E(x24231,x24232)+E(f517(x24233,x24231,x24234),f517(x24233,x24232,x24234))
% 149.08/148.77 [2424]~E(x24241,x24242)+E(f517(x24243,x24244,x24241),f517(x24243,x24244,x24242))
% 149.08/148.77 [2425]~E(x24251,x24252)+E(f818(x24251,x24253,x24254),f818(x24252,x24253,x24254))
% 149.08/148.77 [2426]~E(x24261,x24262)+E(f818(x24263,x24261,x24264),f818(x24263,x24262,x24264))
% 149.08/148.77 [2427]~E(x24271,x24272)+E(f818(x24273,x24274,x24271),f818(x24273,x24274,x24272))
% 149.08/148.77 [2428]~E(x24281,x24282)+E(f547(x24281,x24283,x24284,x24285,x24286,x24287,x24288),f547(x24282,x24283,x24284,x24285,x24286,x24287,x24288))
% 149.08/148.77 [2429]~E(x24291,x24292)+E(f547(x24293,x24291,x24294,x24295,x24296,x24297,x24298),f547(x24293,x24292,x24294,x24295,x24296,x24297,x24298))
% 149.08/148.77 [2430]~E(x24301,x24302)+E(f547(x24303,x24304,x24301,x24305,x24306,x24307,x24308),f547(x24303,x24304,x24302,x24305,x24306,x24307,x24308))
% 149.08/148.77 [2431]~E(x24311,x24312)+E(f547(x24313,x24314,x24315,x24311,x24316,x24317,x24318),f547(x24313,x24314,x24315,x24312,x24316,x24317,x24318))
% 149.08/148.77 [2432]~E(x24321,x24322)+E(f547(x24323,x24324,x24325,x24326,x24321,x24327,x24328),f547(x24323,x24324,x24325,x24326,x24322,x24327,x24328))
% 149.08/148.77 [2433]~E(x24331,x24332)+E(f547(x24333,x24334,x24335,x24336,x24337,x24331,x24338),f547(x24333,x24334,x24335,x24336,x24337,x24332,x24338))
% 149.08/148.77 [2434]~E(x24341,x24342)+E(f547(x24343,x24344,x24345,x24346,x24347,x24348,x24341),f547(x24343,x24344,x24345,x24346,x24347,x24348,x24342))
% 149.08/148.77 [2435]~E(x24351,x24352)+E(f717(x24351,x24353,x24354,x24355,x24356),f717(x24352,x24353,x24354,x24355,x24356))
% 149.08/148.77 [2436]~E(x24361,x24362)+E(f717(x24363,x24361,x24364,x24365,x24366),f717(x24363,x24362,x24364,x24365,x24366))
% 149.08/148.77 [2437]~E(x24371,x24372)+E(f717(x24373,x24374,x24371,x24375,x24376),f717(x24373,x24374,x24372,x24375,x24376))
% 149.08/148.77 [2438]~E(x24381,x24382)+E(f717(x24383,x24384,x24385,x24381,x24386),f717(x24383,x24384,x24385,x24382,x24386))
% 149.08/148.77 [2439]~E(x24391,x24392)+E(f717(x24393,x24394,x24395,x24396,x24391),f717(x24393,x24394,x24395,x24396,x24392))
% 149.08/148.77 [2440]~E(x24401,x24402)+E(f359(x24401,x24403,x24404,x24405,x24406,x24407,x24408),f359(x24402,x24403,x24404,x24405,x24406,x24407,x24408))
% 149.08/148.77 [2441]~E(x24411,x24412)+E(f359(x24413,x24411,x24414,x24415,x24416,x24417,x24418),f359(x24413,x24412,x24414,x24415,x24416,x24417,x24418))
% 149.08/148.77 [2442]~E(x24421,x24422)+E(f359(x24423,x24424,x24421,x24425,x24426,x24427,x24428),f359(x24423,x24424,x24422,x24425,x24426,x24427,x24428))
% 149.08/148.77 [2443]~E(x24431,x24432)+E(f359(x24433,x24434,x24435,x24431,x24436,x24437,x24438),f359(x24433,x24434,x24435,x24432,x24436,x24437,x24438))
% 149.08/148.77 [2444]~E(x24441,x24442)+E(f359(x24443,x24444,x24445,x24446,x24441,x24447,x24448),f359(x24443,x24444,x24445,x24446,x24442,x24447,x24448))
% 149.08/148.77 [2445]~E(x24451,x24452)+E(f359(x24453,x24454,x24455,x24456,x24457,x24451,x24458),f359(x24453,x24454,x24455,x24456,x24457,x24452,x24458))
% 149.08/148.77 [2446]~E(x24461,x24462)+E(f359(x24463,x24464,x24465,x24466,x24467,x24468,x24461),f359(x24463,x24464,x24465,x24466,x24467,x24468,x24462))
% 149.08/148.77 [2447]~E(x24471,x24472)+E(f212(x24471,x24473,x24474,x24475,x24476,x24477,x24478),f212(x24472,x24473,x24474,x24475,x24476,x24477,x24478))
% 149.08/148.77 [2448]~E(x24481,x24482)+E(f212(x24483,x24481,x24484,x24485,x24486,x24487,x24488),f212(x24483,x24482,x24484,x24485,x24486,x24487,x24488))
% 149.08/148.77 [2449]~E(x24491,x24492)+E(f212(x24493,x24494,x24491,x24495,x24496,x24497,x24498),f212(x24493,x24494,x24492,x24495,x24496,x24497,x24498))
% 149.08/148.77 [2450]~E(x24501,x24502)+E(f212(x24503,x24504,x24505,x24501,x24506,x24507,x24508),f212(x24503,x24504,x24505,x24502,x24506,x24507,x24508))
% 149.08/148.77 [2451]~E(x24511,x24512)+E(f212(x24513,x24514,x24515,x24516,x24511,x24517,x24518),f212(x24513,x24514,x24515,x24516,x24512,x24517,x24518))
% 149.08/148.77 [2452]~E(x24521,x24522)+E(f212(x24523,x24524,x24525,x24526,x24527,x24521,x24528),f212(x24523,x24524,x24525,x24526,x24527,x24522,x24528))
% 149.08/148.77 [2453]~E(x24531,x24532)+E(f212(x24533,x24534,x24535,x24536,x24537,x24538,x24531),f212(x24533,x24534,x24535,x24536,x24537,x24538,x24532))
% 149.08/148.77 [2454]~E(x24541,x24542)+E(f21(x24541,x24543),f21(x24542,x24543))
% 149.08/148.77 [2455]~E(x24551,x24552)+E(f21(x24553,x24551),f21(x24553,x24552))
% 149.08/148.77 [2456]~E(x24561,x24562)+E(f832(x24561,x24563,x24564,x24565),f832(x24562,x24563,x24564,x24565))
% 149.08/148.77 [2457]~E(x24571,x24572)+E(f832(x24573,x24571,x24574,x24575),f832(x24573,x24572,x24574,x24575))
% 149.08/148.77 [2458]~E(x24581,x24582)+E(f832(x24583,x24584,x24581,x24585),f832(x24583,x24584,x24582,x24585))
% 149.08/148.77 [2459]~E(x24591,x24592)+E(f832(x24593,x24594,x24595,x24591),f832(x24593,x24594,x24595,x24592))
% 149.08/148.77 [2460]~E(x24601,x24602)+E(f125(x24601),f125(x24602))
% 149.08/148.77 [2461]~E(x24611,x24612)+E(f577(x24611,x24613,x24614,x24615),f577(x24612,x24613,x24614,x24615))
% 149.08/148.77 [2462]~E(x24621,x24622)+E(f577(x24623,x24621,x24624,x24625),f577(x24623,x24622,x24624,x24625))
% 149.08/148.77 [2463]~E(x24631,x24632)+E(f577(x24633,x24634,x24631,x24635),f577(x24633,x24634,x24632,x24635))
% 149.08/148.77 [2464]~E(x24641,x24642)+E(f577(x24643,x24644,x24645,x24641),f577(x24643,x24644,x24645,x24642))
% 149.08/148.77 [2465]~E(x24651,x24652)+E(f667(x24651,x24653,x24654,x24655,x24656),f667(x24652,x24653,x24654,x24655,x24656))
% 149.08/148.77 [2466]~E(x24661,x24662)+E(f667(x24663,x24661,x24664,x24665,x24666),f667(x24663,x24662,x24664,x24665,x24666))
% 149.08/148.77 [2467]~E(x24671,x24672)+E(f667(x24673,x24674,x24671,x24675,x24676),f667(x24673,x24674,x24672,x24675,x24676))
% 149.08/148.77 [2468]~E(x24681,x24682)+E(f667(x24683,x24684,x24685,x24681,x24686),f667(x24683,x24684,x24685,x24682,x24686))
% 149.08/148.77 [2469]~E(x24691,x24692)+E(f667(x24693,x24694,x24695,x24696,x24691),f667(x24693,x24694,x24695,x24696,x24692))
% 149.08/148.77 [2470]~E(x24701,x24702)+E(f387(x24701,x24703),f387(x24702,x24703))
% 149.08/148.77 [2471]~E(x24711,x24712)+E(f387(x24713,x24711),f387(x24713,x24712))
% 149.08/148.77 [2472]~E(x24721,x24722)+E(f230(x24721,x24723,x24724),f230(x24722,x24723,x24724))
% 149.08/148.77 [2473]~E(x24731,x24732)+E(f230(x24733,x24731,x24734),f230(x24733,x24732,x24734))
% 149.08/148.77 [2474]~E(x24741,x24742)+E(f230(x24743,x24744,x24741),f230(x24743,x24744,x24742))
% 149.08/148.77 [2475]~E(x24751,x24752)+E(f796(x24751,x24753,x24754),f796(x24752,x24753,x24754))
% 149.08/148.77 [2476]~E(x24761,x24762)+E(f796(x24763,x24761,x24764),f796(x24763,x24762,x24764))
% 149.08/148.77 [2477]~E(x24771,x24772)+E(f796(x24773,x24774,x24771),f796(x24773,x24774,x24772))
% 149.08/148.77 [2478]~E(x24781,x24782)+E(f499(x24781,x24783),f499(x24782,x24783))
% 149.08/148.77 [2479]~E(x24791,x24792)+E(f499(x24793,x24791),f499(x24793,x24792))
% 149.08/148.77 [2480]~E(x24801,x24802)+E(f634(x24801,x24803),f634(x24802,x24803))
% 149.08/148.77 [2481]~E(x24811,x24812)+E(f634(x24813,x24811),f634(x24813,x24812))
% 149.08/148.77 [2482]~E(x24821,x24822)+E(f700(x24821,x24823,x24824,x24825,x24826,x24827,x24828),f700(x24822,x24823,x24824,x24825,x24826,x24827,x24828))
% 149.08/148.77 [2483]~E(x24831,x24832)+E(f700(x24833,x24831,x24834,x24835,x24836,x24837,x24838),f700(x24833,x24832,x24834,x24835,x24836,x24837,x24838))
% 149.08/148.77 [2484]~E(x24841,x24842)+E(f700(x24843,x24844,x24841,x24845,x24846,x24847,x24848),f700(x24843,x24844,x24842,x24845,x24846,x24847,x24848))
% 149.08/148.77 [2485]~E(x24851,x24852)+E(f700(x24853,x24854,x24855,x24851,x24856,x24857,x24858),f700(x24853,x24854,x24855,x24852,x24856,x24857,x24858))
% 149.08/148.77 [2486]~E(x24861,x24862)+E(f700(x24863,x24864,x24865,x24866,x24861,x24867,x24868),f700(x24863,x24864,x24865,x24866,x24862,x24867,x24868))
% 149.08/148.77 [2487]~E(x24871,x24872)+E(f700(x24873,x24874,x24875,x24876,x24877,x24871,x24878),f700(x24873,x24874,x24875,x24876,x24877,x24872,x24878))
% 149.08/148.77 [2488]~E(x24881,x24882)+E(f700(x24883,x24884,x24885,x24886,x24887,x24888,x24881),f700(x24883,x24884,x24885,x24886,x24887,x24888,x24882))
% 149.08/148.77 [2489]~E(x24891,x24892)+E(f789(x24891,x24893,x24894),f789(x24892,x24893,x24894))
% 149.08/148.77 [2490]~E(x24901,x24902)+E(f789(x24903,x24901,x24904),f789(x24903,x24902,x24904))
% 149.08/148.77 [2491]~E(x24911,x24912)+E(f789(x24913,x24914,x24911),f789(x24913,x24914,x24912))
% 149.08/148.77 [2492]~E(x24921,x24922)+E(f785(x24921,x24923,x24924,x24925,x24926,x24927,x24928),f785(x24922,x24923,x24924,x24925,x24926,x24927,x24928))
% 149.08/148.77 [2493]~E(x24931,x24932)+E(f785(x24933,x24931,x24934,x24935,x24936,x24937,x24938),f785(x24933,x24932,x24934,x24935,x24936,x24937,x24938))
% 149.08/148.77 [2494]~E(x24941,x24942)+E(f785(x24943,x24944,x24941,x24945,x24946,x24947,x24948),f785(x24943,x24944,x24942,x24945,x24946,x24947,x24948))
% 149.08/148.77 [2495]~E(x24951,x24952)+E(f785(x24953,x24954,x24955,x24951,x24956,x24957,x24958),f785(x24953,x24954,x24955,x24952,x24956,x24957,x24958))
% 149.08/148.77 [2496]~E(x24961,x24962)+E(f785(x24963,x24964,x24965,x24966,x24961,x24967,x24968),f785(x24963,x24964,x24965,x24966,x24962,x24967,x24968))
% 149.08/148.77 [2497]~E(x24971,x24972)+E(f785(x24973,x24974,x24975,x24976,x24977,x24971,x24978),f785(x24973,x24974,x24975,x24976,x24977,x24972,x24978))
% 149.08/148.77 [2498]~E(x24981,x24982)+E(f785(x24983,x24984,x24985,x24986,x24987,x24988,x24981),f785(x24983,x24984,x24985,x24986,x24987,x24988,x24982))
% 149.08/148.77 [2499]~E(x24991,x24992)+E(f655(x24991,x24993,x24994,x24995),f655(x24992,x24993,x24994,x24995))
% 149.08/148.77 [2500]~E(x25001,x25002)+E(f655(x25003,x25001,x25004,x25005),f655(x25003,x25002,x25004,x25005))
% 149.08/148.77 [2501]~E(x25011,x25012)+E(f655(x25013,x25014,x25011,x25015),f655(x25013,x25014,x25012,x25015))
% 149.08/148.77 [2502]~E(x25021,x25022)+E(f655(x25023,x25024,x25025,x25021),f655(x25023,x25024,x25025,x25022))
% 149.08/148.77 [2503]~E(x25031,x25032)+E(f579(x25031,x25033,x25034,x25035,x25036,x25037),f579(x25032,x25033,x25034,x25035,x25036,x25037))
% 149.08/148.77 [2504]~E(x25041,x25042)+E(f579(x25043,x25041,x25044,x25045,x25046,x25047),f579(x25043,x25042,x25044,x25045,x25046,x25047))
% 149.08/148.77 [2505]~E(x25051,x25052)+E(f579(x25053,x25054,x25051,x25055,x25056,x25057),f579(x25053,x25054,x25052,x25055,x25056,x25057))
% 149.08/148.77 [2506]~E(x25061,x25062)+E(f579(x25063,x25064,x25065,x25061,x25066,x25067),f579(x25063,x25064,x25065,x25062,x25066,x25067))
% 149.08/148.77 [2507]~E(x25071,x25072)+E(f579(x25073,x25074,x25075,x25076,x25071,x25077),f579(x25073,x25074,x25075,x25076,x25072,x25077))
% 149.08/148.77 [2508]~E(x25081,x25082)+E(f579(x25083,x25084,x25085,x25086,x25087,x25081),f579(x25083,x25084,x25085,x25086,x25087,x25082))
% 149.08/148.77 [2509]~E(x25091,x25092)+E(f751(x25091,x25093,x25094),f751(x25092,x25093,x25094))
% 149.08/148.77 [2510]~E(x25101,x25102)+E(f751(x25103,x25101,x25104),f751(x25103,x25102,x25104))
% 149.08/148.77 [2511]~E(x25111,x25112)+E(f751(x25113,x25114,x25111),f751(x25113,x25114,x25112))
% 149.08/148.77 [2512]~E(x25121,x25122)+E(f285(x25121,x25123),f285(x25122,x25123))
% 149.08/148.77 [2513]~E(x25131,x25132)+E(f285(x25133,x25131),f285(x25133,x25132))
% 149.08/148.77 [2514]~E(x25141,x25142)+E(f820(x25141,x25143,x25144),f820(x25142,x25143,x25144))
% 149.08/148.77 [2515]~E(x25151,x25152)+E(f820(x25153,x25151,x25154),f820(x25153,x25152,x25154))
% 149.08/148.77 [2516]~E(x25161,x25162)+E(f820(x25163,x25164,x25161),f820(x25163,x25164,x25162))
% 149.08/148.77 [2517]~E(x25171,x25172)+E(f586(x25171,x25173),f586(x25172,x25173))
% 149.08/148.77 [2518]~E(x25181,x25182)+E(f586(x25183,x25181),f586(x25183,x25182))
% 149.08/148.77 [2519]~E(x25191,x25192)+E(f447(x25191,x25193,x25194),f447(x25192,x25193,x25194))
% 149.08/148.77 [2520]~E(x25201,x25202)+E(f447(x25203,x25201,x25204),f447(x25203,x25202,x25204))
% 149.08/148.77 [2521]~E(x25211,x25212)+E(f447(x25213,x25214,x25211),f447(x25213,x25214,x25212))
% 149.08/148.77 [2522]~E(x25221,x25222)+E(f17(x25221,x25223,x25224,x25225),f17(x25222,x25223,x25224,x25225))
% 149.08/148.77 [2523]~E(x25231,x25232)+E(f17(x25233,x25231,x25234,x25235),f17(x25233,x25232,x25234,x25235))
% 149.08/148.77 [2524]~E(x25241,x25242)+E(f17(x25243,x25244,x25241,x25245),f17(x25243,x25244,x25242,x25245))
% 149.08/148.77 [2525]~E(x25251,x25252)+E(f17(x25253,x25254,x25255,x25251),f17(x25253,x25254,x25255,x25252))
% 149.08/148.77 [2526]~E(x25261,x25262)+E(f541(x25261,x25263,x25264),f541(x25262,x25263,x25264))
% 149.08/148.77 [2527]~E(x25271,x25272)+E(f541(x25273,x25271,x25274),f541(x25273,x25272,x25274))
% 149.08/148.77 [2528]~E(x25281,x25282)+E(f541(x25283,x25284,x25281),f541(x25283,x25284,x25282))
% 149.08/148.77 [2529]~E(x25291,x25292)+E(f849(x25291,x25293,x25294,x25295),f849(x25292,x25293,x25294,x25295))
% 149.08/148.77 [2530]~E(x25301,x25302)+E(f849(x25303,x25301,x25304,x25305),f849(x25303,x25302,x25304,x25305))
% 149.08/148.77 [2531]~E(x25311,x25312)+E(f849(x25313,x25314,x25311,x25315),f849(x25313,x25314,x25312,x25315))
% 149.08/148.77 [2532]~E(x25321,x25322)+E(f849(x25323,x25324,x25325,x25321),f849(x25323,x25324,x25325,x25322))
% 149.08/148.77 [2533]~E(x25331,x25332)+E(f677(x25331,x25333,x25334,x25335,x25336),f677(x25332,x25333,x25334,x25335,x25336))
% 149.08/148.77 [2534]~E(x25341,x25342)+E(f677(x25343,x25341,x25344,x25345,x25346),f677(x25343,x25342,x25344,x25345,x25346))
% 149.08/148.77 [2535]~E(x25351,x25352)+E(f677(x25353,x25354,x25351,x25355,x25356),f677(x25353,x25354,x25352,x25355,x25356))
% 149.08/148.77 [2536]~E(x25361,x25362)+E(f677(x25363,x25364,x25365,x25361,x25366),f677(x25363,x25364,x25365,x25362,x25366))
% 149.08/148.77 [2537]~E(x25371,x25372)+E(f677(x25373,x25374,x25375,x25376,x25371),f677(x25373,x25374,x25375,x25376,x25372))
% 149.08/148.77 [2538]~E(x25381,x25382)+E(f457(x25381,x25383,x25384),f457(x25382,x25383,x25384))
% 149.08/148.77 [2539]~E(x25391,x25392)+E(f457(x25393,x25391,x25394),f457(x25393,x25392,x25394))
% 149.08/148.77 [2540]~E(x25401,x25402)+E(f457(x25403,x25404,x25401),f457(x25403,x25404,x25402))
% 149.08/148.77 [2541]~E(x25411,x25412)+E(f788(x25411,x25413,x25414),f788(x25412,x25413,x25414))
% 149.08/148.77 [2542]~E(x25421,x25422)+E(f788(x25423,x25421,x25424),f788(x25423,x25422,x25424))
% 149.08/148.77 [2543]~E(x25431,x25432)+E(f788(x25433,x25434,x25431),f788(x25433,x25434,x25432))
% 149.08/148.77 [2544]~E(x25441,x25442)+E(f450(x25441,x25443),f450(x25442,x25443))
% 149.08/148.77 [2545]~E(x25451,x25452)+E(f450(x25453,x25451),f450(x25453,x25452))
% 149.08/148.77 [2546]~E(x25461,x25462)+E(f657(x25461,x25463,x25464,x25465,x25466),f657(x25462,x25463,x25464,x25465,x25466))
% 149.08/148.77 [2547]~E(x25471,x25472)+E(f657(x25473,x25471,x25474,x25475,x25476),f657(x25473,x25472,x25474,x25475,x25476))
% 149.08/148.77 [2548]~E(x25481,x25482)+E(f657(x25483,x25484,x25481,x25485,x25486),f657(x25483,x25484,x25482,x25485,x25486))
% 149.08/148.77 [2549]~E(x25491,x25492)+E(f657(x25493,x25494,x25495,x25491,x25496),f657(x25493,x25494,x25495,x25492,x25496))
% 149.08/148.77 [2550]~E(x25501,x25502)+E(f657(x25503,x25504,x25505,x25506,x25501),f657(x25503,x25504,x25505,x25506,x25502))
% 149.08/148.77 [2551]~E(x25511,x25512)+E(f343(x25511),f343(x25512))
% 149.08/148.77 [2552]~E(x25521,x25522)+E(f643(x25521,x25523,x25524),f643(x25522,x25523,x25524))
% 149.08/148.77 [2553]~E(x25531,x25532)+E(f643(x25533,x25531,x25534),f643(x25533,x25532,x25534))
% 149.08/148.77 [2554]~E(x25541,x25542)+E(f643(x25543,x25544,x25541),f643(x25543,x25544,x25542))
% 149.08/148.77 [2555]~E(x25551,x25552)+E(f513(x25551,x25553,x25554),f513(x25552,x25553,x25554))
% 149.08/148.77 [2556]~E(x25561,x25562)+E(f513(x25563,x25561,x25564),f513(x25563,x25562,x25564))
% 149.08/148.77 [2557]~E(x25571,x25572)+E(f513(x25573,x25574,x25571),f513(x25573,x25574,x25572))
% 149.08/148.77 [2558]~E(x25581,x25582)+E(f859(x25581,x25583,x25584),f859(x25582,x25583,x25584))
% 149.08/148.77 [2559]~E(x25591,x25592)+E(f859(x25593,x25591,x25594),f859(x25593,x25592,x25594))
% 149.08/148.77 [2560]~E(x25601,x25602)+E(f859(x25603,x25604,x25601),f859(x25603,x25604,x25602))
% 149.08/148.77 [2561]~E(x25611,x25612)+E(f840(x25611,x25613),f840(x25612,x25613))
% 149.08/148.77 [2562]~E(x25621,x25622)+E(f840(x25623,x25621),f840(x25623,x25622))
% 149.08/148.77 [2563]~E(x25631,x25632)+E(f486(x25631,x25633,x25634,x25635,x25636),f486(x25632,x25633,x25634,x25635,x25636))
% 149.08/148.77 [2564]~E(x25641,x25642)+E(f486(x25643,x25641,x25644,x25645,x25646),f486(x25643,x25642,x25644,x25645,x25646))
% 149.08/148.77 [2565]~E(x25651,x25652)+E(f486(x25653,x25654,x25651,x25655,x25656),f486(x25653,x25654,x25652,x25655,x25656))
% 149.08/148.77 [2566]~E(x25661,x25662)+E(f486(x25663,x25664,x25665,x25661,x25666),f486(x25663,x25664,x25665,x25662,x25666))
% 149.08/148.77 [2567]~E(x25671,x25672)+E(f486(x25673,x25674,x25675,x25676,x25671),f486(x25673,x25674,x25675,x25676,x25672))
% 149.08/148.77 [2568]~E(x25681,x25682)+E(f750(x25681,x25683,x25684,x25685),f750(x25682,x25683,x25684,x25685))
% 149.08/148.77 [2569]~E(x25691,x25692)+E(f750(x25693,x25691,x25694,x25695),f750(x25693,x25692,x25694,x25695))
% 149.08/148.77 [2570]~E(x25701,x25702)+E(f750(x25703,x25704,x25701,x25705),f750(x25703,x25704,x25702,x25705))
% 149.08/148.77 [2571]~E(x25711,x25712)+E(f750(x25713,x25714,x25715,x25711),f750(x25713,x25714,x25715,x25712))
% 149.08/148.77 [2572]~E(x25721,x25722)+E(f379(x25721),f379(x25722))
% 149.08/148.77 [2573]~E(x25731,x25732)+E(f350(x25731),f350(x25732))
% 149.08/148.77 [2574]~E(x25741,x25742)+E(f774(x25741,x25743,x25744),f774(x25742,x25743,x25744))
% 149.08/148.77 [2575]~E(x25751,x25752)+E(f774(x25753,x25751,x25754),f774(x25753,x25752,x25754))
% 149.08/148.77 [2576]~E(x25761,x25762)+E(f774(x25763,x25764,x25761),f774(x25763,x25764,x25762))
% 149.08/148.77 [2577]~E(x25771,x25772)+E(f715(x25771,x25773,x25774),f715(x25772,x25773,x25774))
% 149.08/148.77 [2578]~E(x25781,x25782)+E(f715(x25783,x25781,x25784),f715(x25783,x25782,x25784))
% 149.08/148.77 [2579]~E(x25791,x25792)+E(f715(x25793,x25794,x25791),f715(x25793,x25794,x25792))
% 149.08/148.77 [2580]~E(x25801,x25802)+E(f754(x25801,x25803,x25804,x25805),f754(x25802,x25803,x25804,x25805))
% 149.08/148.77 [2581]~E(x25811,x25812)+E(f754(x25813,x25811,x25814,x25815),f754(x25813,x25812,x25814,x25815))
% 149.08/148.77 [2582]~E(x25821,x25822)+E(f754(x25823,x25824,x25821,x25825),f754(x25823,x25824,x25822,x25825))
% 149.08/148.77 [2583]~E(x25831,x25832)+E(f754(x25833,x25834,x25835,x25831),f754(x25833,x25834,x25835,x25832))
% 149.08/148.77 [2584]~E(x25841,x25842)+E(f213(x25841),f213(x25842))
% 149.08/148.77 [2585]~E(x25851,x25852)+E(f794(x25851,x25853,x25854),f794(x25852,x25853,x25854))
% 149.08/148.77 [2586]~E(x25861,x25862)+E(f794(x25863,x25861,x25864),f794(x25863,x25862,x25864))
% 149.08/148.77 [2587]~E(x25871,x25872)+E(f794(x25873,x25874,x25871),f794(x25873,x25874,x25872))
% 149.08/148.77 [2588]~E(x25881,x25882)+E(f583(x25881,x25883,x25884,x25885),f583(x25882,x25883,x25884,x25885))
% 149.08/148.77 [2589]~E(x25891,x25892)+E(f583(x25893,x25891,x25894,x25895),f583(x25893,x25892,x25894,x25895))
% 149.08/148.77 [2590]~E(x25901,x25902)+E(f583(x25903,x25904,x25901,x25905),f583(x25903,x25904,x25902,x25905))
% 149.08/148.77 [2591]~E(x25911,x25912)+E(f583(x25913,x25914,x25915,x25911),f583(x25913,x25914,x25915,x25912))
% 149.08/148.77 [2592]~E(x25921,x25922)+E(f489(x25921,x25923,x25924),f489(x25922,x25923,x25924))
% 149.08/148.77 [2593]~E(x25931,x25932)+E(f489(x25933,x25931,x25934),f489(x25933,x25932,x25934))
% 149.08/148.77 [2594]~E(x25941,x25942)+E(f489(x25943,x25944,x25941),f489(x25943,x25944,x25942))
% 149.08/148.77 [2595]~E(x25951,x25952)+E(f597(x25951),f597(x25952))
% 149.08/148.77 [2596]~E(x25961,x25962)+E(f790(x25961,x25963,x25964),f790(x25962,x25963,x25964))
% 149.08/148.77 [2597]~E(x25971,x25972)+E(f790(x25973,x25971,x25974),f790(x25973,x25972,x25974))
% 149.08/148.77 [2598]~E(x25981,x25982)+E(f790(x25983,x25984,x25981),f790(x25983,x25984,x25982))
% 149.08/148.77 [2599]~E(x25991,x25992)+E(f377(x25991,x25993),f377(x25992,x25993))
% 149.08/148.77 [2600]~E(x26001,x26002)+E(f377(x26003,x26001),f377(x26003,x26002))
% 149.08/148.77 [2601]~E(x26011,x26012)+E(f437(x26011,x26013),f437(x26012,x26013))
% 149.08/148.77 [2602]~E(x26021,x26022)+E(f437(x26023,x26021),f437(x26023,x26022))
% 149.08/148.77 [2603]~E(x26031,x26032)+E(f208(x26031,x26033),f208(x26032,x26033))
% 149.08/148.77 [2604]~E(x26041,x26042)+E(f208(x26043,x26041),f208(x26043,x26042))
% 149.08/148.77 [2605]~P1(x26051)+P1(x26052)+~E(x26051,x26052)
% 149.08/148.77 [2606]~P24(x26061)+P24(x26062)+~E(x26061,x26062)
% 149.08/148.77 [2607]~P103(x26071)+P103(x26072)+~E(x26071,x26072)
% 149.08/148.77 [2608]P20(x26082,x26083,x26084)+~E(x26081,x26082)+~P20(x26081,x26083,x26084)
% 149.08/148.77 [2609]P20(x26093,x26092,x26094)+~E(x26091,x26092)+~P20(x26093,x26091,x26094)
% 149.08/148.77 [2610]P20(x26103,x26104,x26102)+~E(x26101,x26102)+~P20(x26103,x26104,x26101)
% 149.08/148.77 [2611]~P25(x26111)+P25(x26112)+~E(x26111,x26112)
% 149.08/148.77 [2612]~P105(x26121)+P105(x26122)+~E(x26121,x26122)
% 149.08/148.77 [2613]~P104(x26131)+P104(x26132)+~E(x26131,x26132)
% 149.08/148.77 [2614]P3(x26142,x26143,x26144)+~E(x26141,x26142)+~P3(x26141,x26143,x26144)
% 149.08/148.77 [2615]P3(x26153,x26152,x26154)+~E(x26151,x26152)+~P3(x26153,x26151,x26154)
% 149.08/148.77 [2616]P3(x26163,x26164,x26162)+~E(x26161,x26162)+~P3(x26163,x26164,x26161)
% 149.08/148.77 [2617]~P61(x26171)+P61(x26172)+~E(x26171,x26172)
% 149.08/148.77 [2618]~P121(x26181)+P121(x26182)+~E(x26181,x26182)
% 149.08/148.77 [2619]~P59(x26191)+P59(x26192)+~E(x26191,x26192)
% 149.08/148.77 [2620]~P81(x26201)+P81(x26202)+~E(x26201,x26202)
% 149.08/148.77 [2621]~P118(x26211)+P118(x26212)+~E(x26211,x26212)
% 149.08/148.77 [2622]~P106(x26221)+P106(x26222)+~E(x26221,x26222)
% 149.08/148.77 [2623]~P74(x26231)+P74(x26232)+~E(x26231,x26232)
% 149.08/148.77 [2624]~P109(x26241)+P109(x26242)+~E(x26241,x26242)
% 149.08/148.77 [2625]~P26(x26251)+P26(x26252)+~E(x26251,x26252)
% 149.08/148.77 [2626]~P107(x26261)+P107(x26262)+~E(x26261,x26262)
% 149.08/148.77 [2627]~P56(x26271)+P56(x26272)+~E(x26271,x26272)
% 149.08/148.77 [2628]P14(x26282,x26283,x26284)+~E(x26281,x26282)+~P14(x26281,x26283,x26284)
% 149.08/148.77 [2629]P14(x26293,x26292,x26294)+~E(x26291,x26292)+~P14(x26293,x26291,x26294)
% 149.08/148.77 [2630]P14(x26303,x26304,x26302)+~E(x26301,x26302)+~P14(x26303,x26304,x26301)
% 149.08/148.77 [2631]P144(x26312,x26313,x26314)+~E(x26311,x26312)+~P144(x26311,x26313,x26314)
% 149.08/148.77 [2632]P144(x26323,x26322,x26324)+~E(x26321,x26322)+~P144(x26323,x26321,x26324)
% 149.08/148.77 [2633]P144(x26333,x26334,x26332)+~E(x26331,x26332)+~P144(x26333,x26334,x26331)
% 149.08/148.77 [2634]~P63(x26341)+P63(x26342)+~E(x26341,x26342)
% 149.08/148.77 [2635]P21(x26352,x26353,x26354,x26355)+~E(x26351,x26352)+~P21(x26351,x26353,x26354,x26355)
% 149.08/148.77 [2636]P21(x26363,x26362,x26364,x26365)+~E(x26361,x26362)+~P21(x26363,x26361,x26364,x26365)
% 149.08/148.77 [2637]P21(x26373,x26374,x26372,x26375)+~E(x26371,x26372)+~P21(x26373,x26374,x26371,x26375)
% 149.08/148.77 [2638]P21(x26383,x26384,x26385,x26382)+~E(x26381,x26382)+~P21(x26383,x26384,x26385,x26381)
% 149.08/148.77 [2639]~P114(x26391)+P114(x26392)+~E(x26391,x26392)
% 149.08/148.77 [2640]~P64(x26401)+P64(x26402)+~E(x26401,x26402)
% 149.08/148.77 [2641]P33(x26412,x26413,x26414)+~E(x26411,x26412)+~P33(x26411,x26413,x26414)
% 149.08/148.77 [2642]P33(x26423,x26422,x26424)+~E(x26421,x26422)+~P33(x26423,x26421,x26424)
% 149.08/148.77 [2643]P33(x26433,x26434,x26432)+~E(x26431,x26432)+~P33(x26433,x26434,x26431)
% 149.08/148.77 [2644]~P93(x26441)+P93(x26442)+~E(x26441,x26442)
% 149.08/148.77 [2645]P30(x26452,x26453)+~E(x26451,x26452)+~P30(x26451,x26453)
% 149.08/148.77 [2646]P30(x26463,x26462)+~E(x26461,x26462)+~P30(x26463,x26461)
% 149.08/148.77 [2647]~P76(x26471)+P76(x26472)+~E(x26471,x26472)
% 149.08/148.77 [2648]~P108(x26481)+P108(x26482)+~E(x26481,x26482)
% 149.08/148.77 [2649]P145(x26492,x26493,x26494)+~E(x26491,x26492)+~P145(x26491,x26493,x26494)
% 149.08/148.77 [2650]P145(x26503,x26502,x26504)+~E(x26501,x26502)+~P145(x26503,x26501,x26504)
% 149.08/148.77 [2651]P145(x26513,x26514,x26512)+~E(x26511,x26512)+~P145(x26513,x26514,x26511)
% 149.08/148.77 [2652]~P77(x26521)+P77(x26522)+~E(x26521,x26522)
% 149.08/148.77 [2653]~P78(x26531)+P78(x26532)+~E(x26531,x26532)
% 149.08/148.77 [2654]~P100(x26541)+P100(x26542)+~E(x26541,x26542)
% 149.08/148.77 [2655]~P65(x26551)+P65(x26552)+~E(x26551,x26552)
% 149.08/148.77 [2656]~P79(x26561)+P79(x26562)+~E(x26561,x26562)
% 149.08/148.77 [2657]~P127(x26571)+P127(x26572)+~E(x26571,x26572)
% 149.08/148.77 [2658]~P94(x26581)+P94(x26582)+~E(x26581,x26582)
% 149.08/148.77 [2659]~P66(x26591)+P66(x26592)+~E(x26591,x26592)
% 149.08/148.77 [2660]P37(x26602,x26603)+~E(x26601,x26602)+~P37(x26601,x26603)
% 149.08/148.77 [2661]P37(x26613,x26612)+~E(x26611,x26612)+~P37(x26613,x26611)
% 149.08/148.77 [2662]~P72(x26621)+P72(x26622)+~E(x26621,x26622)
% 149.08/148.77 [2663]~P67(x26631)+P67(x26632)+~E(x26631,x26632)
% 149.08/148.77 [2664]P34(x26642,x26643,x26644,x26645,x26646)+~E(x26641,x26642)+~P34(x26641,x26643,x26644,x26645,x26646)
% 149.08/148.77 [2665]P34(x26653,x26652,x26654,x26655,x26656)+~E(x26651,x26652)+~P34(x26653,x26651,x26654,x26655,x26656)
% 149.08/148.77 [2666]P34(x26663,x26664,x26662,x26665,x26666)+~E(x26661,x26662)+~P34(x26663,x26664,x26661,x26665,x26666)
% 149.08/148.77 [2667]P34(x26673,x26674,x26675,x26672,x26676)+~E(x26671,x26672)+~P34(x26673,x26674,x26675,x26671,x26676)
% 149.08/148.77 [2668]P34(x26683,x26684,x26685,x26686,x26682)+~E(x26681,x26682)+~P34(x26683,x26684,x26685,x26686,x26681)
% 149.08/148.77 [2669]~P62(x26691)+P62(x26692)+~E(x26691,x26692)
% 149.08/148.77 [2670]~P68(x26701)+P68(x26702)+~E(x26701,x26702)
% 149.08/148.77 [2671]~P58(x26711)+P58(x26712)+~E(x26711,x26712)
% 149.08/148.77 [2672]P35(x26722,x26723,x26724)+~E(x26721,x26722)+~P35(x26721,x26723,x26724)
% 149.08/148.77 [2673]P35(x26733,x26732,x26734)+~E(x26731,x26732)+~P35(x26733,x26731,x26734)
% 149.08/148.77 [2674]P35(x26743,x26744,x26742)+~E(x26741,x26742)+~P35(x26743,x26744,x26741)
% 149.08/148.77 [2675]~P82(x26751)+P82(x26752)+~E(x26751,x26752)
% 149.08/148.77 [2676]P7(x26762,x26763,x26764)+~E(x26761,x26762)+~P7(x26761,x26763,x26764)
% 149.08/148.77 [2677]P7(x26773,x26772,x26774)+~E(x26771,x26772)+~P7(x26773,x26771,x26774)
% 149.08/148.77 [2678]P7(x26783,x26784,x26782)+~E(x26781,x26782)+~P7(x26783,x26784,x26781)
% 149.08/148.77 [2679]~P142(x26791)+P142(x26792)+~E(x26791,x26792)
% 149.08/148.77 [2680]~P83(x26801)+P83(x26802)+~E(x26801,x26802)
% 149.08/148.77 [2681]P55(x26812,x26813)+~E(x26811,x26812)+~P55(x26811,x26813)
% 149.08/148.77 [2682]P55(x26823,x26822)+~E(x26821,x26822)+~P55(x26823,x26821)
% 149.08/148.77 [2683]P12(x26832,x26833,x26834)+~E(x26831,x26832)+~P12(x26831,x26833,x26834)
% 149.08/148.77 [2684]P12(x26843,x26842,x26844)+~E(x26841,x26842)+~P12(x26843,x26841,x26844)
% 149.08/148.77 [2685]P12(x26853,x26854,x26852)+~E(x26851,x26852)+~P12(x26853,x26854,x26851)
% 149.08/148.77 [2686]~P85(x26861)+P85(x26862)+~E(x26861,x26862)
% 149.08/148.77 [2687]P16(x26872,x26873,x26874,x26875)+~E(x26871,x26872)+~P16(x26871,x26873,x26874,x26875)
% 149.08/148.77 [2688]P16(x26883,x26882,x26884,x26885)+~E(x26881,x26882)+~P16(x26883,x26881,x26884,x26885)
% 149.08/148.77 [2689]P16(x26893,x26894,x26892,x26895)+~E(x26891,x26892)+~P16(x26893,x26894,x26891,x26895)
% 149.08/148.77 [2690]P16(x26903,x26904,x26905,x26902)+~E(x26901,x26902)+~P16(x26903,x26904,x26905,x26901)
% 149.08/148.77 [2691]P28(x26912,x26913)+~E(x26911,x26912)+~P28(x26911,x26913)
% 149.08/148.77 [2692]P28(x26923,x26922)+~E(x26921,x26922)+~P28(x26923,x26921)
% 149.08/148.77 [2693]~P71(x26931)+P71(x26932)+~E(x26931,x26932)
% 149.08/148.77 [2694]~P39(x26941)+P39(x26942)+~E(x26941,x26942)
% 149.08/148.77 [2695]~P27(x26951)+P27(x26952)+~E(x26951,x26952)
% 149.08/148.77 [2696]P31(x26962,x26963,x26964)+~E(x26961,x26962)+~P31(x26961,x26963,x26964)
% 149.08/148.77 [2697]P31(x26973,x26972,x26974)+~E(x26971,x26972)+~P31(x26973,x26971,x26974)
% 149.08/148.77 [2698]P31(x26983,x26984,x26982)+~E(x26981,x26982)+~P31(x26983,x26984,x26981)
% 149.08/148.77 [2699]~P123(x26991)+P123(x26992)+~E(x26991,x26992)
% 149.08/148.77 [2700]P47(x27002,x27003,x27004)+~E(x27001,x27002)+~P47(x27001,x27003,x27004)
% 149.08/148.77 [2701]P47(x27013,x27012,x27014)+~E(x27011,x27012)+~P47(x27013,x27011,x27014)
% 149.08/148.77 [2702]P47(x27023,x27024,x27022)+~E(x27021,x27022)+~P47(x27023,x27024,x27021)
% 149.08/148.77 [2703]~P134(x27031)+P134(x27032)+~E(x27031,x27032)
% 149.08/148.77 [2704]~P73(x27041)+P73(x27042)+~E(x27041,x27042)
% 149.08/148.77 [2705]~P86(x27051)+P86(x27052)+~E(x27051,x27052)
% 149.08/148.77 [2706]~P87(x27061)+P87(x27062)+~E(x27061,x27062)
% 149.08/148.77 [2707]~P137(x27071)+P137(x27072)+~E(x27071,x27072)
% 149.08/148.77 [2708]~P88(x27081)+P88(x27082)+~E(x27081,x27082)
% 149.08/148.77 [2709]~P110(x27091)+P110(x27092)+~E(x27091,x27092)
% 149.08/148.77 [2710]~P84(x27101)+P84(x27102)+~E(x27101,x27102)
% 149.08/148.77 [2711]~P69(x27111)+P69(x27112)+~E(x27111,x27112)
% 149.08/148.77 [2712]~P138(x27121)+P138(x27122)+~E(x27121,x27122)
% 149.08/148.77 [2713]~P98(x27131)+P98(x27132)+~E(x27131,x27132)
% 149.08/148.77 [2714]~P101(x27141)+P101(x27142)+~E(x27141,x27142)
% 149.08/148.77 [2715]~P80(x27151)+P80(x27152)+~E(x27151,x27152)
% 149.08/148.77 [2716]~P141(x27161)+P141(x27162)+~E(x27161,x27162)
% 149.08/148.77 [2717]P15(x27172,x27173,x27174,x27175)+~E(x27171,x27172)+~P15(x27171,x27173,x27174,x27175)
% 149.08/148.77 [2718]P15(x27183,x27182,x27184,x27185)+~E(x27181,x27182)+~P15(x27183,x27181,x27184,x27185)
% 149.08/148.77 [2719]P15(x27193,x27194,x27192,x27195)+~E(x27191,x27192)+~P15(x27193,x27194,x27191,x27195)
% 149.08/148.77 [2720]P15(x27203,x27204,x27205,x27202)+~E(x27201,x27202)+~P15(x27203,x27204,x27205,x27201)
% 149.08/148.77 [2721]P41(x27212,x27213,x27214,x27215,x27216,x27217)+~E(x27211,x27212)+~P41(x27211,x27213,x27214,x27215,x27216,x27217)
% 149.08/148.77 [2722]P41(x27223,x27222,x27224,x27225,x27226,x27227)+~E(x27221,x27222)+~P41(x27223,x27221,x27224,x27225,x27226,x27227)
% 149.08/148.77 [2723]P41(x27233,x27234,x27232,x27235,x27236,x27237)+~E(x27231,x27232)+~P41(x27233,x27234,x27231,x27235,x27236,x27237)
% 149.08/148.77 [2724]P41(x27243,x27244,x27245,x27242,x27246,x27247)+~E(x27241,x27242)+~P41(x27243,x27244,x27245,x27241,x27246,x27247)
% 149.08/148.77 [2725]P41(x27253,x27254,x27255,x27256,x27252,x27257)+~E(x27251,x27252)+~P41(x27253,x27254,x27255,x27256,x27251,x27257)
% 149.08/148.77 [2726]P41(x27263,x27264,x27265,x27266,x27267,x27262)+~E(x27261,x27262)+~P41(x27263,x27264,x27265,x27266,x27267,x27261)
% 149.08/148.77 [2727]~P132(x27271)+P132(x27272)+~E(x27271,x27272)
% 149.08/148.77 [2728]P50(x27282,x27283,x27284)+~E(x27281,x27282)+~P50(x27281,x27283,x27284)
% 149.08/148.77 [2729]P50(x27293,x27292,x27294)+~E(x27291,x27292)+~P50(x27293,x27291,x27294)
% 149.08/148.77 [2730]P50(x27303,x27304,x27302)+~E(x27301,x27302)+~P50(x27303,x27304,x27301)
% 149.08/148.77 [2731]~P60(x27311)+P60(x27312)+~E(x27311,x27312)
% 149.08/148.77 [2732]~P135(x27321)+P135(x27322)+~E(x27321,x27322)
% 149.08/148.77 [2733]P48(x27332,x27333)+~E(x27331,x27332)+~P48(x27331,x27333)
% 149.08/148.77 [2734]P48(x27343,x27342)+~E(x27341,x27342)+~P48(x27343,x27341)
% 149.08/148.77 [2735]~P111(x27351)+P111(x27352)+~E(x27351,x27352)
% 149.08/148.77 [2736]~P122(x27361)+P122(x27362)+~E(x27361,x27362)
% 149.08/148.77 [2737]P53(x27372,x27373)+~E(x27371,x27372)+~P53(x27371,x27373)
% 149.08/148.77 [2738]P53(x27383,x27382)+~E(x27381,x27382)+~P53(x27383,x27381)
% 149.08/148.77 [2739]~P126(x27391)+P126(x27392)+~E(x27391,x27392)
% 149.08/148.77 [2740]~P91(x27401)+P91(x27402)+~E(x27401,x27402)
% 149.08/148.77 [2741]~P119(x27411)+P119(x27412)+~E(x27411,x27412)
% 149.08/148.77 [2742]P51(x27422,x27423,x27424)+~E(x27421,x27422)+~P51(x27421,x27423,x27424)
% 149.08/148.77 [2743]P51(x27433,x27432,x27434)+~E(x27431,x27432)+~P51(x27433,x27431,x27434)
% 149.08/148.77 [2744]P51(x27443,x27444,x27442)+~E(x27441,x27442)+~P51(x27443,x27444,x27441)
% 149.08/148.77 [2745]~P124(x27451)+P124(x27452)+~E(x27451,x27452)
% 149.08/148.77 [2746]P38(x27462,x27463)+~E(x27461,x27462)+~P38(x27461,x27463)
% 149.08/148.77 [2747]P38(x27473,x27472)+~E(x27471,x27472)+~P38(x27473,x27471)
% 149.08/148.77 [2748]~P131(x27481)+P131(x27482)+~E(x27481,x27482)
% 149.08/148.77 [2749]~P136(x27491)+P136(x27492)+~E(x27491,x27492)
% 149.08/148.77 [2750]~P125(x27501)+P125(x27502)+~E(x27501,x27502)
% 149.08/148.77 [2751]~P133(x27511)+P133(x27512)+~E(x27511,x27512)
% 149.08/148.77 [2752]P9(x27522,x27523,x27524,x27525)+~E(x27521,x27522)+~P9(x27521,x27523,x27524,x27525)
% 149.08/148.77 [2753]P9(x27533,x27532,x27534,x27535)+~E(x27531,x27532)+~P9(x27533,x27531,x27534,x27535)
% 149.08/148.77 [2754]P9(x27543,x27544,x27542,x27545)+~E(x27541,x27542)+~P9(x27543,x27544,x27541,x27545)
% 149.08/148.77 [2755]P9(x27553,x27554,x27555,x27552)+~E(x27551,x27552)+~P9(x27553,x27554,x27555,x27551)
% 149.08/148.77 [2756]P23(x27562,x27563,x27564)+~E(x27561,x27562)+~P23(x27561,x27563,x27564)
% 149.08/148.77 [2757]P23(x27573,x27572,x27574)+~E(x27571,x27572)+~P23(x27573,x27571,x27574)
% 149.08/148.77 [2758]P23(x27583,x27584,x27582)+~E(x27581,x27582)+~P23(x27583,x27584,x27581)
% 149.08/148.77 [2759]P54(x27592,x27593,x27594,x27595)+~E(x27591,x27592)+~P54(x27591,x27593,x27594,x27595)
% 149.08/148.77 [2760]P54(x27603,x27602,x27604,x27605)+~E(x27601,x27602)+~P54(x27603,x27601,x27604,x27605)
% 149.08/148.77 [2761]P54(x27613,x27614,x27612,x27615)+~E(x27611,x27612)+~P54(x27613,x27614,x27611,x27615)
% 149.08/148.77 [2762]P54(x27623,x27624,x27625,x27622)+~E(x27621,x27622)+~P54(x27623,x27624,x27625,x27621)
% 149.08/148.77 [2763]~P130(x27631)+P130(x27632)+~E(x27631,x27632)
% 149.08/148.77 [2764]~P112(x27641)+P112(x27642)+~E(x27641,x27642)
% 149.08/148.77 [2765]P10(x27652,x27653,x27654,x27655,x27656,x27657)+~E(x27651,x27652)+~P10(x27651,x27653,x27654,x27655,x27656,x27657)
% 149.08/148.77 [2766]P10(x27663,x27662,x27664,x27665,x27666,x27667)+~E(x27661,x27662)+~P10(x27663,x27661,x27664,x27665,x27666,x27667)
% 149.08/148.77 [2767]P10(x27673,x27674,x27672,x27675,x27676,x27677)+~E(x27671,x27672)+~P10(x27673,x27674,x27671,x27675,x27676,x27677)
% 149.08/148.77 [2768]P10(x27683,x27684,x27685,x27682,x27686,x27687)+~E(x27681,x27682)+~P10(x27683,x27684,x27685,x27681,x27686,x27687)
% 149.08/148.77 [2769]P10(x27693,x27694,x27695,x27696,x27692,x27697)+~E(x27691,x27692)+~P10(x27693,x27694,x27695,x27696,x27691,x27697)
% 149.08/148.77 [2770]P10(x27703,x27704,x27705,x27706,x27707,x27702)+~E(x27701,x27702)+~P10(x27703,x27704,x27705,x27706,x27707,x27701)
% 149.08/148.77 [2771]~P140(x27711)+P140(x27712)+~E(x27711,x27712)
% 149.08/148.77 [2772]P2(x27722,x27723)+~E(x27721,x27722)+~P2(x27721,x27723)
% 149.08/148.77 [2773]P2(x27733,x27732)+~E(x27731,x27732)+~P2(x27733,x27731)
% 149.08/148.77 [2774]P11(x27742,x27743,x27744)+~E(x27741,x27742)+~P11(x27741,x27743,x27744)
% 149.08/148.77 [2775]P11(x27753,x27752,x27754)+~E(x27751,x27752)+~P11(x27753,x27751,x27754)
% 149.08/148.77 [2776]P11(x27763,x27764,x27762)+~E(x27761,x27762)+~P11(x27763,x27764,x27761)
% 149.08/148.77 [2777]P46(x27772,x27773,x27774)+~E(x27771,x27772)+~P46(x27771,x27773,x27774)
% 149.08/148.77 [2778]P46(x27783,x27782,x27784)+~E(x27781,x27782)+~P46(x27783,x27781,x27784)
% 149.08/148.77 [2779]P46(x27793,x27794,x27792)+~E(x27791,x27792)+~P46(x27793,x27794,x27791)
% 149.08/148.77 [2780]P22(x27802,x27803)+~E(x27801,x27802)+~P22(x27801,x27803)
% 149.08/148.77 [2781]P22(x27813,x27812)+~E(x27811,x27812)+~P22(x27813,x27811)
% 149.08/148.77 [2782]P29(x27822,x27823,x27824)+~E(x27821,x27822)+~P29(x27821,x27823,x27824)
% 149.08/148.77 [2783]P29(x27833,x27832,x27834)+~E(x27831,x27832)+~P29(x27833,x27831,x27834)
% 149.08/148.77 [2784]P29(x27843,x27844,x27842)+~E(x27841,x27842)+~P29(x27843,x27844,x27841)
% 149.08/148.77 [2785]P18(x27852,x27853,x27854,x27855,x27856,x27857)+~E(x27851,x27852)+~P18(x27851,x27853,x27854,x27855,x27856,x27857)
% 149.08/148.77 [2786]P18(x27863,x27862,x27864,x27865,x27866,x27867)+~E(x27861,x27862)+~P18(x27863,x27861,x27864,x27865,x27866,x27867)
% 149.08/148.77 [2787]P18(x27873,x27874,x27872,x27875,x27876,x27877)+~E(x27871,x27872)+~P18(x27873,x27874,x27871,x27875,x27876,x27877)
% 149.08/148.77 [2788]P18(x27883,x27884,x27885,x27882,x27886,x27887)+~E(x27881,x27882)+~P18(x27883,x27884,x27885,x27881,x27886,x27887)
% 149.08/148.77 [2789]P18(x27893,x27894,x27895,x27896,x27892,x27897)+~E(x27891,x27892)+~P18(x27893,x27894,x27895,x27896,x27891,x27897)
% 149.08/148.77 [2790]P18(x27903,x27904,x27905,x27906,x27907,x27902)+~E(x27901,x27902)+~P18(x27903,x27904,x27905,x27906,x27907,x27901)
% 149.08/148.77 [2791]P32(x27912,x27913,x27914,x27915)+~E(x27911,x27912)+~P32(x27911,x27913,x27914,x27915)
% 149.08/148.77 [2792]P32(x27923,x27922,x27924,x27925)+~E(x27921,x27922)+~P32(x27923,x27921,x27924,x27925)
% 149.08/148.77 [2793]P32(x27933,x27934,x27932,x27935)+~E(x27931,x27932)+~P32(x27933,x27934,x27931,x27935)
% 149.08/148.77 [2794]P32(x27943,x27944,x27945,x27942)+~E(x27941,x27942)+~P32(x27943,x27944,x27945,x27941)
% 149.08/148.77 [2795]P8(x27952,x27953,x27954)+~E(x27951,x27952)+~P8(x27951,x27953,x27954)
% 149.08/148.77 [2796]P8(x27963,x27962,x27964)+~E(x27961,x27962)+~P8(x27963,x27961,x27964)
% 149.08/148.77 [2797]P8(x27973,x27974,x27972)+~E(x27971,x27972)+~P8(x27973,x27974,x27971)
% 149.08/148.77 [2798]P5(x27982,x27983,x27984)+~E(x27981,x27982)+~P5(x27981,x27983,x27984)
% 149.08/148.77 [2799]P5(x27993,x27992,x27994)+~E(x27991,x27992)+~P5(x27993,x27991,x27994)
% 149.08/148.77 [2800]P5(x28003,x28004,x28002)+~E(x28001,x28002)+~P5(x28003,x28004,x28001)
% 149.08/148.77 [2801]~P116(x28011)+P116(x28012)+~E(x28011,x28012)
% 149.08/148.77 [2802]~P92(x28021)+P92(x28022)+~E(x28021,x28022)
% 149.08/148.77 [2803]P40(x28032,x28033,x28034,x28035)+~E(x28031,x28032)+~P40(x28031,x28033,x28034,x28035)
% 149.08/148.77 [2804]P40(x28043,x28042,x28044,x28045)+~E(x28041,x28042)+~P40(x28043,x28041,x28044,x28045)
% 149.08/148.77 [2805]P40(x28053,x28054,x28052,x28055)+~E(x28051,x28052)+~P40(x28053,x28054,x28051,x28055)
% 149.08/148.77 [2806]P40(x28063,x28064,x28065,x28062)+~E(x28061,x28062)+~P40(x28063,x28064,x28065,x28061)
% 149.08/148.77 [2807]P6(x28072,x28073,x28074,x28075,x28076)+~E(x28071,x28072)+~P6(x28071,x28073,x28074,x28075,x28076)
% 149.08/148.77 [2808]P6(x28083,x28082,x28084,x28085,x28086)+~E(x28081,x28082)+~P6(x28083,x28081,x28084,x28085,x28086)
% 149.08/148.77 [2809]P6(x28093,x28094,x28092,x28095,x28096)+~E(x28091,x28092)+~P6(x28093,x28094,x28091,x28095,x28096)
% 149.08/148.77 [2810]P6(x28103,x28104,x28105,x28102,x28106)+~E(x28101,x28102)+~P6(x28103,x28104,x28105,x28101,x28106)
% 149.08/148.77 [2811]P6(x28113,x28114,x28115,x28116,x28112)+~E(x28111,x28112)+~P6(x28113,x28114,x28115,x28116,x28111)
% 149.08/148.77 [2812]~P89(x28121)+P89(x28122)+~E(x28121,x28122)
% 149.08/148.77 [2813]~P36(x28131)+P36(x28132)+~E(x28131,x28132)
% 149.08/148.77 [2814]~P139(x28141)+P139(x28142)+~E(x28141,x28142)
% 149.08/148.77 [2815]~P115(x28151)+P115(x28152)+~E(x28151,x28152)
% 149.08/148.77 [2816]P19(x28162,x28163,x28164,x28165,x28166,x28167)+~E(x28161,x28162)+~P19(x28161,x28163,x28164,x28165,x28166,x28167)
% 149.08/148.77 [2817]P19(x28173,x28172,x28174,x28175,x28176,x28177)+~E(x28171,x28172)+~P19(x28173,x28171,x28174,x28175,x28176,x28177)
% 149.08/148.77 [2818]P19(x28183,x28184,x28182,x28185,x28186,x28187)+~E(x28181,x28182)+~P19(x28183,x28184,x28181,x28185,x28186,x28187)
% 149.08/148.77 [2819]P19(x28193,x28194,x28195,x28192,x28196,x28197)+~E(x28191,x28192)+~P19(x28193,x28194,x28195,x28191,x28196,x28197)
% 149.08/148.77 [2820]P19(x28203,x28204,x28205,x28206,x28202,x28207)+~E(x28201,x28202)+~P19(x28203,x28204,x28205,x28206,x28201,x28207)
% 149.08/148.77 [2821]P19(x28213,x28214,x28215,x28216,x28217,x28212)+~E(x28211,x28212)+~P19(x28213,x28214,x28215,x28216,x28217,x28211)
% 149.08/148.77 [2822]~P99(x28221)+P99(x28222)+~E(x28221,x28222)
% 149.08/148.77 [2823]~P97(x28231)+P97(x28232)+~E(x28231,x28232)
% 149.08/148.77 [2824]~P143(x28241)+P143(x28242)+~E(x28241,x28242)
% 149.08/148.77 [2825]P13(x28252,x28253,x28254)+~E(x28251,x28252)+~P13(x28251,x28253,x28254)
% 149.08/148.77 [2826]P13(x28263,x28262,x28264)+~E(x28261,x28262)+~P13(x28263,x28261,x28264)
% 149.08/148.77 [2827]P13(x28273,x28274,x28272)+~E(x28271,x28272)+~P13(x28273,x28274,x28271)
% 149.08/148.77 [2828]~P70(x28281)+P70(x28282)+~E(x28281,x28282)
% 149.08/148.77 [2829]~P95(x28291)+P95(x28292)+~E(x28291,x28292)
% 149.08/148.77 [2830]~P117(x28301)+P117(x28302)+~E(x28301,x28302)
% 149.08/148.77 [2831]~P113(x28311)+P113(x28312)+~E(x28311,x28312)
% 149.08/148.77 [2832]~P120(x28321)+P120(x28322)+~E(x28321,x28322)
% 149.08/148.77 [2833]P49(x28332,x28333)+~E(x28331,x28332)+~P49(x28331,x28333)
% 149.08/148.77 [2834]P49(x28343,x28342)+~E(x28341,x28342)+~P49(x28343,x28341)
% 149.08/148.77 [2835]~P4(x28351)+P4(x28352)+~E(x28351,x28352)
% 149.08/148.77 [2836]~P57(x28361)+P57(x28362)+~E(x28361,x28362)
% 149.08/148.77 [2837]~P96(x28371)+P96(x28372)+~E(x28371,x28372)
% 149.08/148.77 [2838]~P102(x28381)+P102(x28382)+~E(x28381,x28382)
% 149.08/148.77 [2839]~P128(x28391)+P128(x28392)+~E(x28391,x28392)
% 149.08/148.77 [2840]P52(x28402,x28403,x28404,x28405,x28406)+~E(x28401,x28402)+~P52(x28401,x28403,x28404,x28405,x28406)
% 149.08/148.77 [2841]P52(x28413,x28412,x28414,x28415,x28416)+~E(x28411,x28412)+~P52(x28413,x28411,x28414,x28415,x28416)
% 149.08/148.77 [2842]P52(x28423,x28424,x28422,x28425,x28426)+~E(x28421,x28422)+~P52(x28423,x28424,x28421,x28425,x28426)
% 149.08/148.77 [2843]P52(x28433,x28434,x28435,x28432,x28436)+~E(x28431,x28432)+~P52(x28433,x28434,x28435,x28431,x28436)
% 149.08/148.77 [2844]P52(x28443,x28444,x28445,x28446,x28442)+~E(x28441,x28442)+~P52(x28443,x28444,x28445,x28446,x28441)
% 149.08/148.77 [2845]P42(x28452,x28453)+~E(x28451,x28452)+~P42(x28451,x28453)
% 149.08/148.77 [2846]P42(x28463,x28462)+~E(x28461,x28462)+~P42(x28463,x28461)
% 149.08/148.77 [2847]~P129(x28471)+P129(x28472)+~E(x28471,x28472)
% 149.08/148.77 [2848]~P43(x28481)+P43(x28482)+~E(x28481,x28482)
% 149.08/148.77 [2849]~P75(x28491)+P75(x28492)+~E(x28491,x28492)
% 149.08/148.77 [2850]P44(x28502,x28503)+~E(x28501,x28502)+~P44(x28501,x28503)
% 149.08/148.77 [2851]P44(x28513,x28512)+~E(x28511,x28512)+~P44(x28513,x28511)
% 149.08/148.77 [2852]P17(x28522,x28523,x28524,x28525,x28526)+~E(x28521,x28522)+~P17(x28521,x28523,x28524,x28525,x28526)
% 149.08/148.77 [2853]P17(x28533,x28532,x28534,x28535,x28536)+~E(x28531,x28532)+~P17(x28533,x28531,x28534,x28535,x28536)
% 149.08/148.77 [2854]P17(x28543,x28544,x28542,x28545,x28546)+~E(x28541,x28542)+~P17(x28543,x28544,x28541,x28545,x28546)
% 149.08/148.77 [2855]P17(x28553,x28554,x28555,x28552,x28556)+~E(x28551,x28552)+~P17(x28553,x28554,x28555,x28551,x28556)
% 149.08/148.77 [2856]P17(x28563,x28564,x28565,x28566,x28562)+~E(x28561,x28562)+~P17(x28563,x28564,x28565,x28566,x28561)
% 149.08/148.77 [2857]~P90(x28571)+P90(x28572)+~E(x28571,x28572)
% 149.08/148.77 [2858]P45(x28582,x28583,x28584)+~E(x28581,x28582)+~P45(x28581,x28583,x28584)
% 149.08/148.77 [2859]P45(x28593,x28592,x28594)+~E(x28591,x28592)+~P45(x28593,x28591,x28594)
% 149.08/148.77 [2860]P45(x28603,x28604,x28602)+~E(x28601,x28602)+~P45(x28603,x28604,x28601)
% 149.08/148.77
% 149.08/148.77 %-------------------------------------------
% 149.25/148.82 cnf(10198,plain,
% 149.25/148.82 (E(f326(f257(x101981,x101981),f258(x101981,x101982)),x101982)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10201,plain,
% 149.25/148.82 (~E(f326(a117,x102011),x102011)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10204,plain,
% 149.25/148.82 (~E(f326(a117,x102041),x102041)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10207,plain,
% 149.25/148.82 (E(f326(f257(x102071,x102071),f258(x102071,x102072)),x102072)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10214,plain,
% 149.25/148.82 (~E(f326(a117,x102141),x102141)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10225,plain,
% 149.25/148.82 (~E(f326(a117,x102251),x102251)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10230,plain,
% 149.25/148.82 (~P103(f326(f63(x102301,x102302,f190(f880(x102301,a866))),x102303))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10233,plain,
% 149.25/148.82 (~P103(f326(f63(x102331,x102332,f190(f880(x102331,a866))),x102333))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10236,plain,
% 149.25/148.82 (~E(f326(a117,x102361),x102361)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10239,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x102391),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10242,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x102421),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10255,plain,
% 149.25/148.82 (~P103(f326(f190(f880(x102551,a866)),x102552))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,3061,3230,10198,3105,3169,3113,3256,4520,10239,4517,4466,4527,3247,4507,4544,10230,4548,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019])).
% 149.25/148.82 cnf(10259,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x102591)),x102591))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(10262,plain,
% 149.25/148.82 (~E(f326(f326(f147(x102621),x102622),x102623),x102623)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(10268,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x102681),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10270,plain,
% 149.25/148.82 (E(f45(a872,f326(f257(x102701,x102701),f258(x102701,f326(f326(f82(a872),x102702),x102703))),x102702),f2(a872))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,3061,3230,10198,10207,3105,3169,3134,3113,4472,3256,4520,10239,10242,4517,4466,4529,4527,3247,4507,4544,10230,4548,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046])).
% 149.25/148.82 cnf(10271,plain,
% 149.25/148.82 (E(f326(f257(x102711,x102711),f258(x102711,x102712)),x102712)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10274,plain,
% 149.25/148.82 (E(f326(f257(x102741,x102741),f258(x102741,x102742)),x102742)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10278,plain,
% 149.25/148.82 (~P103(f326(a196,a84))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,3061,3230,10198,10207,10271,3105,3169,3134,3113,4472,3256,4520,10239,10242,4517,4466,4529,4527,3247,4507,4544,10230,4548,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093])).
% 149.25/148.82 cnf(10281,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x102811),x102812)),x102812))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(10284,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x102841),x102842)),x102842))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(10305,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x103051),x103051))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10308,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f45(a872,x103081,x103082)),x103081))),
% 149.25/148.82 inference(rename_variables,[],[3731])).
% 149.25/148.82 cnf(10329,plain,
% 149.25/148.82 (E(f326(f38(a872),f326(f247(a872),x103291)),x103291)),
% 149.25/148.82 inference(rename_variables,[],[3164])).
% 149.25/148.82 cnf(10337,plain,
% 149.25/148.82 (~E(f326(a117,x103371),x103371)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10340,plain,
% 149.25/148.82 (~E(f326(a117,x103401),x103401)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10343,plain,
% 149.25/148.82 (~E(f326(a117,x103431),x103431)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10345,plain,
% 149.25/148.82 (P103(f326(a196,a102))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,3061,3230,10198,10207,10271,3105,3169,3134,3113,3202,4472,3164,4554,3185,3344,3256,4520,10239,10242,3859,3277,4517,4466,4516,10305,3370,3792,3731,4529,10259,4099,4527,4506,3247,4507,4511,4544,10230,4548,4546,10281,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304])).
% 149.25/148.82 cnf(10348,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x103481),f326(a117,x103481)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10357,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x103571),x103571))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(10364,plain,
% 149.25/148.82 (E(f326(f257(x103641,x103641),f258(x103641,x103642)),x103642)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10367,plain,
% 149.25/148.82 (E(f326(f257(x103671,x103671),f258(x103671,x103672)),x103672)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10386,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x103861),x103861))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(10395,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x103951),x103951))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10400,plain,
% 149.25/148.82 (~E(f326(f326(f326(f73(x104001,f876(x104002)),x104003),x104004),f326(f233(x104002),x104005)),f326(f16(f876(x104002),x104001),f193(x104002)))),
% 149.25/148.82 inference(rename_variables,[],[4541])).
% 149.25/148.82 cnf(10404,plain,
% 149.25/148.82 (E(f326(f326(f81(a872),x104041),f837(x104041,x104041)),x104041)),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,3061,3230,10198,10207,10271,10274,10364,3105,3169,3134,3113,3202,4541,4472,3164,4055,4554,3185,3344,10348,3256,4520,10239,10242,3713,3859,3304,3277,4517,4466,4008,3273,3274,3275,3276,4516,10305,3370,3792,3731,10308,4529,10259,4099,4527,4506,3247,4507,4511,4544,10230,4548,3752,4546,10281,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450])).
% 149.25/148.82 cnf(10427,plain,
% 149.25/148.82 (~E(f326(f326(f147(x104271),x104272),x104273),x104273)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(10430,plain,
% 149.25/148.82 (~E(f326(a26,x104301),f34(x104302,x104303))),
% 149.25/148.82 inference(rename_variables,[],[4461])).
% 149.25/148.82 cnf(10441,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x104411),x104411))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(10446,plain,
% 149.25/148.82 (~E(f326(a117,x104461),x104461)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10453,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x104531),x104531))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(10466,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x104661),f326(a117,x104661)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10471,plain,
% 149.25/148.82 (E(f326(f326(f126(x104711),f118(x104711)),x104712),x104712)),
% 149.25/148.82 inference(rename_variables,[],[3225])).
% 149.25/148.82 cnf(10489,plain,
% 149.25/148.82 (~P103(f326(f63(x104891,x104892,f190(f880(x104891,a866))),x104893))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10508,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x105081),x105081))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10520,plain,
% 149.25/148.82 (E(f326(f326(f251(a872),f326(f108(a872),a102)),x105201),f326(f326(f251(a872),f2(a872)),x105201))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,4461,3061,3230,10198,10207,10271,10274,10364,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,4055,4554,3185,3637,3344,10348,10466,3256,4520,10239,10242,10268,4536,3713,3859,3302,3304,3277,4517,4466,4008,3273,10357,3274,3275,10386,3276,4516,10305,10395,3370,3792,3731,10308,4529,10259,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,4548,3752,4546,10281,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810])).
% 149.25/148.82 cnf(10523,plain,
% 149.25/148.82 (~E(f326(a26,x105231),f34(x105232,x105233))),
% 149.25/148.82 inference(rename_variables,[],[4461])).
% 149.25/148.82 cnf(10529,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),f2(a872)),f326(a109,f79(a1))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,4461,10430,3061,3230,10198,10207,10271,10274,10364,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,4055,4554,3185,3637,3344,10348,10466,3256,4520,10239,10242,10268,4536,3713,3859,3302,3304,3277,4517,4466,4008,3273,10357,3274,3275,10386,3276,4516,10305,10395,3370,3792,3731,10308,4529,10259,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,4548,3752,4546,10281,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870])).
% 149.25/148.82 cnf(10532,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x105321),x105321))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10537,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x105371),f326(a117,x105371)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10540,plain,
% 149.25/148.82 (~P103(f326(f63(x105401,x105402,f190(f880(x105401,a866))),x105403))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10543,plain,
% 149.25/148.82 (~P103(f326(f63(x105431,x105432,f190(f880(x105431,a866))),x105433))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10548,plain,
% 149.25/148.82 (~P103(f326(f63(x105481,x105482,f190(f880(x105481,a866))),x105483))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10559,plain,
% 149.25/148.82 (~E(f326(a117,x105591),x105591)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10584,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x105841),x105841))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(10587,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x105871),f326(f326(f82(a872),x105871),x105871)))),
% 149.25/148.82 inference(rename_variables,[],[3544])).
% 149.25/148.82 cnf(10589,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x105891),f326(f326(f82(a872),f326(a117,x105891)),f326(a117,x105891))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,4055,4554,3185,3637,3344,10348,10466,10537,3726,3256,4520,10239,10242,10268,4536,3713,3859,3302,3304,3277,4517,4466,4008,3273,10357,10453,3274,3275,10386,3276,4516,10305,10395,10508,3370,3792,3731,10308,4529,10259,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,3544,10587,4548,3752,4546,10281,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093])).
% 149.25/148.82 cnf(10590,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x105901),f326(f326(f82(a872),x105901),x105901)))),
% 149.25/148.82 inference(rename_variables,[],[3544])).
% 149.25/148.82 cnf(10593,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x105931),f326(a117,f326(f326(f81(a872),x105932),x105931))))),
% 149.25/148.82 inference(rename_variables,[],[3724])).
% 149.25/148.82 cnf(10598,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x105981),f326(a117,x105981)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10601,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x106011),f326(a117,x106011)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10604,plain,
% 149.25/148.82 (P103(f326(f326(f328(x106041),x106042),f249(f880(x106041,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(10619,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x106191)),x106191))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(10622,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x106221)),x106221))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(10625,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x106251),x106252)),x106252))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(10628,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x106281),x106282)),x106282))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(10631,plain,
% 149.25/148.82 (P103(f326(f249(f880(x106311,a866)),x106312))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(10634,plain,
% 149.25/148.82 (E(f326(f38(a872),f326(f247(a872),x106341)),x106341)),
% 149.25/148.82 inference(rename_variables,[],[3164])).
% 149.25/148.82 cnf(10637,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x106371),f326(a117,x106371)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10644,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x106441),x106441))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(10649,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x106491),x106491))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(10658,plain,
% 149.25/148.82 (E(f326(f257(x106581,x106581),f258(x106581,x106582)),x106582)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(10661,plain,
% 149.25/148.82 (P103(f326(f249(f880(x106611,a866)),x106612))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(10664,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x106641))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(10667,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x106671,a866)),f190(f880(x106671,a866))),x106672))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(10670,plain,
% 149.25/148.82 (P103(f326(f249(f880(x106701,a866)),x106702))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(10672,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(f326(f82(a872),f326(a117,x106721)),f326(a117,x106721))),x106721))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,10329,4055,4554,3185,3637,3578,3344,10348,10466,10537,10598,10601,3726,3256,4520,10239,10242,10268,4536,3713,3486,3859,3302,3304,3277,4517,4466,4008,3273,10357,10453,10584,3274,3275,10386,10441,3276,4516,10305,10395,10508,3433,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,3296,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,4548,3752,4546,10281,10284,10625,3724,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304])).
% 149.25/148.82 cnf(10673,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x106731),f326(f326(f82(a872),x106731),x106731)))),
% 149.25/148.82 inference(rename_variables,[],[3544])).
% 149.25/148.82 cnf(10677,plain,
% 149.25/148.82 (E(f326(f165(x106771),f169(x106772,f326(f326(f126(x106771),f326(f165(x106771),x106773)),f326(f326(f147(x106771),x106774),f118(x106771))),f118(x106772))),f326(f326(f147(x106771),x106774),x106773))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,10329,4055,4554,3185,3637,3578,3344,10348,10466,10537,10598,10601,3726,3256,4520,10239,10242,10268,4536,3713,3486,3859,3302,3304,3277,4517,4466,4008,3273,10357,10453,10584,3274,3275,10386,10441,3276,4516,10305,10395,10508,3433,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,3296,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,4548,3752,4546,10281,10284,10625,3724,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345])).
% 149.25/148.82 cnf(10678,plain,
% 149.25/148.82 (E(f169(x106781,x106782,f118(x106781)),x106782)),
% 149.25/148.82 inference(rename_variables,[],[3208])).
% 149.25/148.82 cnf(10682,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,f326(a117,f326(f326(f81(a872),x106821),x106822)))),f326(a117,x106822)))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,10329,4055,4554,3185,3637,3578,3344,10348,10466,10537,10598,10601,10637,3726,3256,4520,10239,10242,10268,4536,3713,3486,3859,3302,3304,3277,4517,4466,4008,3273,10357,10453,10584,3274,3275,10386,10441,3276,4516,10305,10395,10508,3433,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,3296,4099,4527,4506,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,4548,3752,4546,10281,10284,10625,3724,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348])).
% 149.25/148.82 cnf(10713,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x107131),x107131))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10724,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x107241,f880(x107242,a866))),x107243),x107244))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(10731,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x107311),f326(a117,x107311)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10733,plain,
% 149.25/148.82 (P103(f326(f326(f241(a1),f326(f326(f22(a1),x107331),f79(a1))),x107331))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3637,3578,3344,10348,10466,10537,10598,10601,10637,3726,3256,4520,10239,10242,10268,4536,3713,3486,3859,3302,3304,3277,4517,4466,4008,3273,10357,10453,10584,3274,10713,3275,10386,10441,10649,3276,4516,10305,10395,10508,3433,4532,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,4099,4527,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,4548,4549,3752,4546,10281,10284,10625,3724,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609])).
% 149.25/148.82 cnf(10734,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x107341),x107341))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(10739,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x107391),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10752,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x107521),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10755,plain,
% 149.25/148.82 (~P103(f326(f326(f241(f880(x107551,a866)),x107552),f190(f880(x107551,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4542])).
% 149.25/148.82 cnf(10758,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x107581),x107581))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10761,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x107611),x107611))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10775,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x107751),f326(f326(f22(a872),x107751),x107752)))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3637,3578,3344,10348,10466,10537,10598,10601,10637,3726,3256,4520,10239,10242,10268,10739,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,3275,10386,10441,10649,3276,4516,10305,10395,10508,10532,3433,4532,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,4099,4527,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,4548,4549,3752,4546,10281,10284,10625,3724,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771])).
% 149.25/148.82 cnf(10776,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x107761),x107761))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10785,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x107851),x107852),f190(f880(x107851,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10794,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x107941),x107941))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10797,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x107971),x107972),f190(f880(x107971,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10800,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x108001,a866)),f326(f305(x108002,x108001,x108003),f326(f306(x108002,x108001,x108003),x108004))),x108004))),
% 149.25/148.82 inference(rename_variables,[],[4159])).
% 149.25/148.82 cnf(10807,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x108071,a866)),f326(f168(x108071),f326(f132(x108071,x108072),x108073))),f326(f168(x108071),x108073)))),
% 149.25/148.82 inference(rename_variables,[],[3920])).
% 149.25/148.82 cnf(10810,plain,
% 149.25/148.82 (E(f326(f305(x108101,x108101,f5(x108101)),x108102),x108102)),
% 149.25/148.82 inference(rename_variables,[],[3334])).
% 149.25/148.82 cnf(10817,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x108171))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(10820,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x108201),x108201))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10823,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x108231),x108231))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10826,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x108261,f880(x108262,a866))),x108263),x108264))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(10833,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x108331),x108331))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(10844,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x108441),f326(f326(f82(a872),x108441),x108441)))),
% 149.25/148.82 inference(rename_variables,[],[3544])).
% 149.25/148.82 cnf(10850,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x108501),f326(a117,f326(f326(f81(a872),x108502),x108501))))),
% 149.25/148.82 inference(rename_variables,[],[3724])).
% 149.25/148.82 cnf(10857,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x108571),x108571))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10860,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x108601),x108601))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(10863,plain,
% 149.25/148.82 (~E(f326(a117,x108631),x108631)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(10868,plain,
% 149.25/148.82 (P103(f326(f326(f328(x108681),x108682),f249(f880(x108681,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(10873,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x108731),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(10875,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x108751,a866)),x108752),f40(f880(x108751,a866),f326(f303(x108751),x108752))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3334,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3478,3637,3578,4551,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3638,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,4532,10785,10797,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,4099,4527,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482])).
% 149.25/148.82 cnf(10888,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x108881))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(10895,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x108951),x108951))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10904,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x109041),x109042),f190(f880(x109041,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10911,plain,
% 149.25/148.82 (P103(f326(f326(f328(f873(x109111)),x109112),f157(x109111,f249(f880(x109111,a866)))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3334,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3638,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,4532,10785,10797,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766])).
% 149.25/148.82 cnf(10912,plain,
% 149.25/148.82 (P103(f326(f326(f328(x109121),x109122),f249(f880(x109121,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(10915,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x109151),f873(x109151))),f326(f326(f261(f873(x109151),f873(x109151)),x109152),f118(x109151))),f141(x109151,x109153)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(10921,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(x109211,x109211)),x109212),f258(x109211,f190(f880(x109211,a866)))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3334,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3638,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,4532,10785,10797,10904,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897])).
% 149.25/148.82 cnf(10922,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x109221),x109222),f190(f880(x109221,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10924,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x109241),x109242),f326(f306(x109241,x109243,x109244),f190(f880(x109243,a866)))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3334,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3638,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,4532,10785,10797,10904,10922,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3722,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931])).
% 149.25/148.82 cnf(10925,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x109251),x109252),f190(f880(x109251,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10928,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x109281,a866)),x109282),f326(f326(f304(x109281),x109283),x109282)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(10931,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x109311),x109311))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(10934,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x109341,a866)),x109342),f326(f326(f304(x109341),x109343),x109342)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(10936,plain,
% 149.25/148.82 (P34(x109361,x109362,x109363,f119(x109361,f118(x109361)),f118(x109362))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3105,3169,3134,3113,3334,3202,3225,10471,4541,4472,10262,3164,10329,4055,3910,4554,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3638,4008,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,4532,10785,10797,10904,10922,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,4552,3720,10928,3722,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042])).
% 149.25/148.82 cnf(10949,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x109491,a866)),x109492),f326(f326(f304(x109491),x109493),x109492)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(10954,plain,
% 149.25/148.82 (~P103(f326(f63(x109541,x109542,f190(f880(x109541,a866))),x109543))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(10967,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x109671),f326(a117,x109671)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(10977,plain,
% 149.25/148.82 (~E(f326(f305(x109771,f880(x109771,a866),x109772),x109773),f326(f303(x109771),x109773))),
% 149.25/148.82 inference(rename_variables,[],[4530])).
% 149.25/148.82 cnf(10980,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x109801),x109802),f190(f880(x109801,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(10983,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x109831,x109831)),f326(f326(f261(x109831,x109831),x109832),x109832)),f302(x109831,x109833)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(10986,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x109861,a866)),x109862),f249(f880(x109861,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(10989,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x109891,a866)),f326(f168(x109891),f166(x109891,x109892,x109893))),f326(f168(x109891),x109893)))),
% 149.25/148.82 inference(rename_variables,[],[3971])).
% 149.25/148.82 cnf(11005,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x110051,a866)),f190(f880(x110051,a866))),x110052))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(11009,plain,
% 149.25/148.82 (~P103(f326(f62(f878(a872,x110091)),f313(a872,x110091,f249(f880(a872,a866)),x110092)))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,4461,10430,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,4541,3908,4472,10262,4530,3164,10329,4055,3910,10983,4554,10915,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3722,10667,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545])).
% 149.25/148.82 cnf(11016,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x110161),f873(x110161))),f326(f326(f261(f873(x110161),f873(x110161)),x110162),f118(x110161))),f143(x110161,x110163)))),
% 149.25/148.82 inference(rename_variables,[],[4555])).
% 149.25/148.82 cnf(11027,plain,
% 149.25/148.82 (~E(f326(a117,x110271),x110271)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11030,plain,
% 149.25/148.82 (~E(f326(a117,x110301),x110301)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11032,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x110321),f873(x110321))),f326(f326(f261(f873(x110321),f873(x110321)),f118(x110321)),f118(x110321))),f326(f326(f283(f873(x110321),f873(x110321),f873(x110321)),f154(x110321,x110322)),f302(f873(x110321),f154(x110321,x110322)))))),
% 149.25/148.82 inference(scs_inference,[],[4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,4541,3908,4472,10262,4530,3164,10329,4055,3910,10983,4554,10915,4555,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3722,10667,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598])).
% 149.25/148.82 cnf(11042,plain,
% 149.25/148.82 (P21(x110421,x110421,f5(x110421),x110422)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(11047,plain,
% 149.25/148.82 (~E(f326(f305(x110471,f880(x110471,a866),x110472),x110473),f326(f303(x110471),x110473))),
% 149.25/148.82 inference(rename_variables,[],[4530])).
% 149.25/148.82 cnf(11052,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x110521,a866)),x110522),f249(f880(x110521,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(11066,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x110661),x110662),f190(f880(x110661,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11069,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x110691)),x110691))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11074,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x110741),x110742),f190(f880(x110741,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11086,plain,
% 149.25/148.82 (~P103(f326(f326(f328(a872),f326(a117,f326(f138(a872,a872,f81(a872),f2(a872)),x110861))),f326(f168(a872),x110861)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,4554,10915,4555,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3722,10667,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817])).
% 149.25/148.82 cnf(11087,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x110871)),x110871))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11090,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x110901),x110902),f190(f880(x110901,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11100,plain,
% 149.25/148.82 (E(f326(x111001,f822(f326(x111001,x111002),f326(f233(x111003),x111002),x111001,x111004,x111003)),f326(x111001,x111002))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,4554,10915,4555,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,4542,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3722,10667,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893])).
% 149.25/148.82 cnf(11109,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x111091,x111091)),f326(f326(f261(x111091,x111091),x111092),x111092)),f302(x111091,x111093)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(11114,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x111141),f873(x111141))),f326(f326(f261(f873(x111141),f873(x111141)),x111142),f118(x111141))),f141(x111141,x111143)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(11117,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x111171),f873(x111171))),f326(f326(f261(f873(x111171),f873(x111171)),x111172),f118(x111171))),f143(x111171,x111173)))),
% 149.25/148.82 inference(rename_variables,[],[4555])).
% 149.25/148.82 cnf(11120,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x111201),f873(x111201))),f326(f326(f261(f873(x111201),f873(x111201)),x111202),f118(x111201))),f153(x111201,x111203)))),
% 149.25/148.82 inference(rename_variables,[],[4556])).
% 149.25/148.82 cnf(11125,plain,
% 149.25/148.82 (~P103(f326(f326(f241(f880(x111251,a866)),x111252),f190(f880(x111251,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4542])).
% 149.25/148.82 cnf(11128,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x111281),x111282),f190(f880(x111281,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11132,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111321,a866)),x111322),f326(f326(f115(f880(x111321,a866)),x111323),f249(f880(x111321,a866)))))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,4554,10915,11114,4555,11016,4556,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,4542,10755,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3722,10667,3544,10587,10590,10673,10844,4548,4549,10724,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091])).
% 149.25/148.82 cnf(11133,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111331,a866)),x111332),f249(f880(x111331,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(11136,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x111361,f880(x111362,a866))),x111363),x111364))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(11145,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x111451),x111452),f190(f880(x111451,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11148,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(x111481,x111481)),f326(f326(f261(x111481,x111481),x111482),x111483)),f149(x111481,f118(f880(x111481,a872)))))),
% 149.25/148.82 inference(rename_variables,[],[4552])).
% 149.25/148.82 cnf(11151,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111511,a866)),x111512),x111512))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(11154,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x111541),x111542),f190(f880(x111541,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11156,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111561,a866)),f326(f280(x111562,x111561,f190(f880(f879(x111562,x111561),a866))),x111563)),x111564))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,4554,10915,11114,4555,11016,4556,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,4542,10755,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262])).
% 149.25/148.82 cnf(11157,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111571,a866)),f190(f880(x111571,a866))),x111572))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(11160,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x111601,x111601)),f326(f326(f261(x111601,x111601),x111602),x111602)),f302(x111601,x111603)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(11162,plain,
% 149.25/148.82 (~P34(x111621,x111622,x111623,f326(f326(f150(x111624,x111621),x111625),f326(a117,f118(x111624))),f118(x111622))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,11109,4554,10915,11114,4555,11016,4556,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,4542,10755,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271])).
% 149.25/148.82 cnf(11164,plain,
% 149.25/148.82 (~E(f326(f326(f106(f880(f879(f873(x111641),f873(x111641)),a866)),f326(f281(f873(x111641),f873(x111641)),f154(x111641,x111642))),f302(f873(x111641),f154(x111641,x111642))),f190(f880(f879(f873(x111641),f873(x111641)),a866)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,11109,4554,10915,11114,4555,11016,4556,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,4542,10755,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293])).
% 149.25/148.82 cnf(11171,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x111711),f873(x111711))),f326(f326(f261(f873(x111711),f873(x111711)),x111712),f118(x111711))),f153(x111711,x111713)))),
% 149.25/148.82 inference(rename_variables,[],[4556])).
% 149.25/148.82 cnf(11174,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x111741),f873(x111741))),f326(f326(f261(f873(x111741),f873(x111741)),f118(x111741)),x111742)),f141(x111741,x111743)))),
% 149.25/148.82 inference(rename_variables,[],[4557])).
% 149.25/148.82 cnf(11179,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f880(x111791,a866),f880(x111791,a866))),f326(f326(f261(f880(x111791,a866),f880(x111791,a866)),x111792),f190(f880(x111791,a866)))),f301(x111791)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,11109,4554,10915,11114,4555,11016,4556,11120,4557,4558,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,4542,10755,11125,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421])).
% 149.25/148.82 cnf(11182,plain,
% 149.25/148.82 (P103(f326(f326(f328(x111821),x111822),f249(f880(x111821,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(11187,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111871,a866)),f190(f880(x111871,a866))),x111872))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(11190,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x111901),x111902),f190(f880(x111901,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11193,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111931,a866)),x111932),f249(f880(x111931,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(11197,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111971,a866)),f326(f280(x111972,x111971,x111973),f190(f880(x111972,a866)))),x111974))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,4530,10977,3381,3164,10329,4055,3910,10983,11109,4554,10915,11114,4555,11016,4556,11120,4557,4558,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,3338,10631,10661,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,4060,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526])).
% 149.25/148.82 cnf(11198,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x111981,a866)),f190(f880(x111981,a866))),x111982))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(11211,plain,
% 149.25/148.82 (P103(f326(f249(f880(x112111,a866)),x112112))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(11219,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x112191),f873(x112191))),f326(f326(f261(f873(x112191),f873(x112191)),x112192),f118(x112191))),f141(x112191,x112193)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(11222,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x112221),f873(x112221))),f326(f326(f261(f873(x112221),f873(x112221)),x112222),f118(x112221))),f143(x112221,x112223)))),
% 149.25/148.82 inference(rename_variables,[],[4555])).
% 149.25/148.82 cnf(11225,plain,
% 149.25/148.82 (~E(f326(f326(f147(x112251),x112252),x112253),x112253)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(11228,plain,
% 149.25/148.82 (~E(f326(a117,x112281),x112281)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11231,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112311),x112312),f190(f880(x112311,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11236,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x112361),f873(x112361))),f326(f326(f261(f873(x112361),f873(x112361)),x112362),x112362)),f154(x112361,f302(x112361,x112363))))),
% 149.25/148.82 inference(rename_variables,[],[4049])).
% 149.25/148.82 cnf(11241,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x112411),f873(x112411))),f326(f326(f261(f873(x112411),f873(x112411)),x112412),f118(x112411))),f141(x112411,x112413)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(11250,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112501),x112502),f182(x112503,x112501,f184(x112503,x112501,x112504,f190(f880(x112503,a866))))))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,4530,10977,3381,3164,10329,4055,3910,10983,11109,4554,10915,11114,11219,4555,11016,11117,4556,11120,4557,11174,4558,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4049,11236,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,3338,10631,10661,10670,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,3876,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,4060,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741])).
% 149.25/148.82 cnf(11251,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112511),x112512),f190(f880(x112511,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11254,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112541),x112542),f190(f880(x112541,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11257,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112571),x112572),f190(f880(x112571,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11260,plain,
% 149.25/148.82 (P103(f326(f326(f328(x112601),x112602),f249(f880(x112601,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(11263,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x112631),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11268,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(x112681,x112681)),f326(f326(f261(x112681,x112681),x112682),x112683)),f149(x112681,f118(f880(x112681,a872)))))),
% 149.25/148.82 inference(rename_variables,[],[4552])).
% 149.25/148.82 cnf(11271,plain,
% 149.25/148.82 (~E(f326(f305(x112711,f880(x112711,a866),x112712),x112713),f326(f303(x112711),x112713))),
% 149.25/148.82 inference(rename_variables,[],[4530])).
% 149.25/148.82 cnf(11274,plain,
% 149.25/148.82 (~E(f326(f305(x112741,f880(x112741,a866),x112742),x112743),f326(f303(x112741),x112743))),
% 149.25/148.82 inference(rename_variables,[],[4530])).
% 149.25/148.82 cnf(11279,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x112791),f873(x112791))),f326(f326(f261(f873(x112791),f873(x112791)),x112792),f118(x112791))),f141(x112791,x112793)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(11285,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x112851),f873(x112851))),f326(f326(f261(f873(x112851),f873(x112851)),x112852),f118(x112851))),f141(x112851,x112853)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(11288,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112881),x112882),f190(f880(x112881,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11292,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x112921,x112922)),f326(f326(f261(x112921,x112922),f326(x112923,x112924)),f326(x112925,x112924))),f326(f305(f879(x112926,x112926),f879(x112921,x112922),f266(x112926,x112921,x112926,x112922,x112923,x112925)),f302(x112926,x112927))))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,4461,10430,10523,3061,3115,3230,10198,10207,10271,10274,10364,10367,3208,3734,3105,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,4530,10977,11047,11271,3381,3164,10329,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,4536,3713,3486,3859,3302,3304,3277,4517,4466,4049,11236,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,11182,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,3338,10631,10661,10670,3370,3792,3731,10308,4529,10259,10619,10622,11069,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4544,10230,10233,10489,10540,10543,10548,4552,11148,3876,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,4549,10724,10826,4159,4060,3752,4546,10281,10284,10625,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040])).
% 149.25/148.82 cnf(11295,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112951),x112952),f190(f880(x112951,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11298,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x112981),x112982),f190(f880(x112981,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11301,plain,
% 149.25/148.82 (P103(f326(f326(f328(x113011),f326(x113012,x113013)),f326(f305(x113014,x113011,x113012),f249(f880(x113014,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(11304,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(x113041,x113041)),f326(f326(f261(x113041,x113041),x113042),x113043)),f149(x113041,f118(f880(x113041,a872)))))),
% 149.25/148.82 inference(rename_variables,[],[4552])).
% 149.25/148.82 cnf(11312,plain,
% 149.25/148.82 (E(f119(x113121,f118(x113121)),f118(x113121))),
% 149.25/148.82 inference(rename_variables,[],[3115])).
% 149.25/148.82 cnf(11315,plain,
% 149.25/148.82 (~E(f326(a117,x113151),x113151)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11322,plain,
% 149.25/148.82 (~E(f326(a117,x113221),x113221)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11327,plain,
% 149.25/148.82 (E(f326(f257(x113271,x113271),f258(x113271,x113272)),x113272)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11330,plain,
% 149.25/148.82 (E(f326(f257(x113301,x113301),f258(x113301,x113302)),x113302)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11336,plain,
% 149.25/148.82 (~E(f326(a117,x113361),x113361)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11343,plain,
% 149.25/148.82 (~E(f326(f326(f81(a1),x113431),x113431),a102)),
% 149.25/148.82 inference(rename_variables,[],[4469])).
% 149.25/148.82 cnf(11352,plain,
% 149.25/148.82 (E(f326(f326(f22(a872),f2(a872)),x113521),f2(a872))),
% 149.25/148.82 inference(rename_variables,[],[3186])).
% 149.25/148.82 cnf(11355,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x113551),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11362,plain,
% 149.25/148.82 (E(f326(f326(f81(a1),f326(f326(f82(a1),x113621),f326(f326(f39(a1),x113622),x113621))),f45(a1,x113622,x113621)),x113622)),
% 149.25/148.82 inference(rename_variables,[],[3824])).
% 149.25/148.82 cnf(11386,plain,
% 149.25/148.82 (~E(f326(a117,x113861),x113861)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11389,plain,
% 149.25/148.82 (~E(f326(a117,x113891),x113891)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11415,plain,
% 149.25/148.82 (~P103(f326(f63(x114151,x114152,f190(f880(x114151,a866))),x114153))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(11418,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x114181,f880(x114182,a866))),x114183),x114184))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(11421,plain,
% 149.25/148.82 (P103(f326(f326(f328(x114211),x114212),f249(f880(x114211,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(11433,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x114331),x114331))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11440,plain,
% 149.25/148.82 (P103(f326(f67(x114401,x114402,x114403,x114404,f190(f880(x114401,a866))),x114404))),
% 149.25/148.82 inference(rename_variables,[],[4198])).
% 149.25/148.82 cnf(11441,plain,
% 149.25/148.82 (E(f326(f257(x114411,x114411),f258(x114411,x114412)),x114412)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11446,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x114461,f880(x114462,a866))),x114463),x114464))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(11457,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x114571),x114572)),x114572))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(11460,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x114601)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(11478,plain,
% 149.25/148.82 (~E(f326(f326(f106(a872),f326(a117,x114781)),x114781),f326(a117,x114781))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,4461,10430,10523,3190,2872,2874,2882,2883,2886,2893,2898,2905,2920,2925,2931,2934,2942,2945,2946,2995,3009,3015,3016,3020,3041,3048,3061,4442,3115,11312,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,3208,3734,3105,3824,11362,3169,3134,3113,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,11263,11355,4536,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,3433,10604,10868,10912,11182,11260,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,3338,10631,10661,10670,3370,3792,3731,10308,4529,10259,10619,10622,11069,11087,3296,10664,10817,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,4198,4544,10230,10233,10489,10540,10543,10548,10954,4552,11148,11268,3876,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,4538,4549,10724,10826,11136,11418,4159,4060,3752,4546,10281,10284,10625,10628,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352])).
% 149.25/148.82 cnf(11485,plain,
% 149.25/148.82 (E(f326(f257(x114851,x114851),f258(x114851,x114852)),x114852)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11490,plain,
% 149.25/148.82 (E(f326(f257(x114901,x114901),f258(x114901,x114902)),x114902)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11493,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x114931)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(11498,plain,
% 149.25/148.82 (~E(f326(a117,x114981),x114981)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11507,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x115071),x115071))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11528,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x115281)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(11543,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x115431)),x115431))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11544,plain,
% 149.25/148.82 (~E(f326(a117,x115441),x115441)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11554,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x115541),x115542)),x115541))),
% 149.25/148.82 inference(rename_variables,[],[4547])).
% 149.25/148.82 cnf(11557,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x115571)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(11560,plain,
% 149.25/148.82 (~E(f326(a117,x115601),x115601)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11573,plain,
% 149.25/148.82 (P103(f326(f326(f328(x115731),x115732),f326(f326(f304(x115731),x115732),x115733)))),
% 149.25/148.82 inference(rename_variables,[],[3587])).
% 149.25/148.82 cnf(11574,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a1),f2(a1)),f326(f80(a1),f326(f105(a1),f326(a117,x115741)))))),
% 149.25/148.82 inference(rename_variables,[],[4548])).
% 149.25/148.82 cnf(11577,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),f326(f326(f22(a872),x115771),x115772)),f326(a117,x115771)))),
% 149.25/148.82 inference(rename_variables,[],[3726])).
% 149.25/148.82 cnf(11580,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f45(a872,x115801,x115802)),x115801))),
% 149.25/148.82 inference(rename_variables,[],[3731])).
% 149.25/148.82 cnf(11586,plain,
% 149.25/148.82 (E(f326(f326(f126(x115861),x115862),f118(x115861)),x115862)),
% 149.25/148.82 inference(rename_variables,[],[3203])).
% 149.25/148.82 cnf(11589,plain,
% 149.25/148.82 (E(f326(f257(x115891,x115891),f258(x115891,x115892)),x115892)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(11592,plain,
% 149.25/148.82 (E(f169(x115921,x115922,f118(x115921)),x115922)),
% 149.25/148.82 inference(rename_variables,[],[3208])).
% 149.25/148.82 cnf(11598,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x115981)),x115981))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11607,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x116071),x116071))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11610,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f45(a872,x116101,x116102)),x116101))),
% 149.25/148.82 inference(rename_variables,[],[3731])).
% 149.25/148.82 cnf(11611,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x116111))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(11613,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a1),f79(a1)),f2(a1)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,4461,10430,10523,3190,2871,2872,2874,2875,2882,2883,2886,2887,2893,2898,2905,2920,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3734,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,3256,4520,10239,10242,10268,10739,10752,10873,11263,11355,4536,11460,11493,11528,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,4516,10305,10395,10508,10532,10776,10823,10833,11507,3433,10604,10868,10912,11182,11260,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,3338,10631,10661,10670,3376,3370,3792,3731,10308,11580,4529,10259,10619,10622,11069,11087,11543,3296,10664,10817,10888,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,4552,11148,11268,3876,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,4538,4549,10724,10826,11136,11418,4159,4060,3752,4546,10281,10284,10625,10628,4547,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789])).
% 149.25/148.82 cnf(11628,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x116281),x116281))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11631,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x116311),x116311))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11634,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x116341),x116341))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11637,plain,
% 149.25/148.82 (P103(f326(f326(f328(x116371),f326(x116372,x116373)),f326(f305(x116374,x116371,x116372),f249(f880(x116374,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(11638,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x116381)),x116381))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11641,plain,
% 149.25/148.82 (P103(f326(f326(f328(x116411),f326(x116412,x116413)),f326(f305(x116414,x116411,x116412),f249(f880(x116414,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(11642,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x116421),x116422)),x116422))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(11647,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x116471),x116472)),x116471))),
% 149.25/148.82 inference(rename_variables,[],[4547])).
% 149.25/148.82 cnf(11650,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x116501),x116501))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11653,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x116531),x116531))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11659,plain,
% 149.25/148.82 (~P35(x116591,x116592,f118(x116591))),
% 149.25/148.82 inference(rename_variables,[],[4483])).
% 149.25/148.82 cnf(11662,plain,
% 149.25/148.82 (P103(f326(f326(f328(x116621),x116622),f249(f880(x116621,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(11663,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x116631)),x116631))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11666,plain,
% 149.25/148.82 (~P103(f326(f63(x116661,x116662,f190(f880(x116661,a866))),x116663))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(11679,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x116791),x116792),f190(f880(x116791,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11682,plain,
% 149.25/148.82 (E(f326(f326(f16(x116821,x116822),x116823),x116824),x116823)),
% 149.25/148.82 inference(rename_variables,[],[3263])).
% 149.25/148.82 cnf(11685,plain,
% 149.25/148.82 (E(f326(f326(f16(x116851,x116852),x116853),x116854),x116853)),
% 149.25/148.82 inference(rename_variables,[],[3263])).
% 149.25/148.82 cnf(11697,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),f2(a872)),f326(a117,x116971)))),
% 149.25/148.82 inference(rename_variables,[],[3356])).
% 149.25/148.82 cnf(11700,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x117001),x117001))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11703,plain,
% 149.25/148.82 (P103(f326(f326(f328(x117031),f326(x117032,x117033)),f326(f305(x117034,x117031,x117032),f249(f880(x117034,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(11706,plain,
% 149.25/148.82 (P103(f326(f62(x117061),f326(f168(x117061),x117062)))),
% 149.25/148.82 inference(rename_variables,[],[3316])).
% 149.25/148.82 cnf(11709,plain,
% 149.25/148.82 (P103(f326(f62(x117091),f326(f168(x117091),x117092)))),
% 149.25/148.82 inference(rename_variables,[],[3316])).
% 149.25/148.82 cnf(11712,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),f326(f80(a1),f326(f105(a1),x117121))),f326(f105(a1),x117122)))),
% 149.25/148.82 inference(rename_variables,[],[3753])).
% 149.25/148.82 cnf(11715,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x117151),x117152),f190(f880(x117151,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11731,plain,
% 149.25/148.82 (~P103(f326(f326(f328(a872),x117311),f326(f247(a872),f2(a872))))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,4461,10430,10523,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2897,2898,2905,2920,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3734,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,4536,11460,11493,11528,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,3338,10631,10661,10670,3376,3370,3792,3731,10308,11580,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,3296,10664,10817,10888,3753,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125])).
% 149.25/148.82 cnf(11734,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x117341),x117341))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11737,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x117371),x117371))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11746,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x117461),x117461))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11749,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x117491),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11754,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x117541),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11761,plain,
% 149.25/148.82 (P103(f326(f249(f880(x117611,a866)),x117612))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(11766,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x117661))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(11767,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x117671)),x117671))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11770,plain,
% 149.25/148.82 (~P103(f326(f63(x117701,x117702,f190(f880(x117701,a866))),x117703))),
% 149.25/148.82 inference(rename_variables,[],[4544])).
% 149.25/148.82 cnf(11789,plain,
% 149.25/148.82 (P103(f326(f326(f241(a1),f326(f80(a1),f79(a1))),f2(a1)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,4461,10430,10523,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3734,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,10860,11737,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,3296,10664,10817,10888,11611,3753,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432])).
% 149.25/148.82 cnf(11792,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x117921)),x117921))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11795,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x117951)),x117951))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11798,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x117981)),x117981))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11801,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x118011)),x118011))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(11804,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x118041),x118041))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11807,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x118071),x118071))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11810,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x118101),x118101))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11813,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x118131),x118131))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11829,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),f326(f326(f22(a872),x118291),f326(a117,x118291))),f2(a872)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,4461,10430,10523,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3734,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,10860,11737,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,3296,10664,10817,10888,11611,3753,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508])).
% 149.25/148.82 cnf(11830,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x118301),x118301))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11835,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x118351),f326(f76(a1),x118351)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,4461,10430,10523,3485,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3734,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,3274,10713,10758,10761,10794,10820,10857,10895,3275,10386,10441,10649,10734,10860,11737,11746,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,3296,10664,10817,10888,11611,3753,4099,4527,3800,4506,4509,3247,3251,4508,4507,4511,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527])).
% 149.25/148.82 cnf(11836,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x118361),x118361))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11847,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x118471),x118471))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11850,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(f879(f873(x118501),f873(x118501)),a866)),f154(x118501,x118502)),f302(f873(x118501),f153(x118501,x118502))))),
% 149.25/148.82 inference(rename_variables,[],[3976])).
% 149.25/148.82 cnf(11857,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x118571),f326(a117,x118571)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(11860,plain,
% 149.25/148.82 (P103(f326(f326(f328(f880(x118601,a866)),x118602),f326(f303(x118601),x118602)))),
% 149.25/148.82 inference(rename_variables,[],[3638])).
% 149.25/148.82 cnf(11861,plain,
% 149.25/148.82 (~E(f326(a117,x118611),x118611)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11866,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x118661),x118661))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11871,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x118711),x118711))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11882,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x118821,a866)),x118822),f326(f326(f304(x118821),x118823),x118822)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(11885,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x118851),x118851))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(11886,plain,
% 149.25/148.82 (~E(f326(a117,x118861),x118861)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11897,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x118971),x118971))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11898,plain,
% 149.25/148.82 (~E(f326(a117,x118981),x118981)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11901,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x119011),x119011))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(11904,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x119041),x119041))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(11907,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x119071),x119071))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(11910,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x119101),x119101))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(11913,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x119131),x119131))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11916,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119161),x119161))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11919,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119191),x119191))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11920,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x119201),f326(a117,x119201)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(11929,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119291),x119291))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11930,plain,
% 149.25/148.82 (~E(f326(a117,x119301),x119301)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(11933,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x119331),x119331))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11950,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x119501),x119501))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(11955,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x119551))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(11972,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119721),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11975,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119751),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(11978,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x119781),x119782),f190(f880(x119781,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11981,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x119811),x119812),f190(f880(x119811,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(11984,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119841),x119841))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11986,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119861),f326(f326(f106(a872),x119861),x119862)))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,4461,10430,10523,3485,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3215,3734,3968,3105,3824,11362,3169,3134,3129,3113,3114,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3976,3920,10807,3971,3638,4008,3656,10986,11052,11133,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,3296,10664,10817,10888,11611,11766,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,10949,3574,3722,10667,11005,11157,11187,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012])).
% 149.25/148.82 cnf(11987,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119871),x119871))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11990,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119901),x119901))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11993,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x119931),x119931))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(11996,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x119961),f326(a117,x119961)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12003,plain,
% 149.25/148.82 (P103(f326(f326(f328(f880(x120031,a866)),x120032),f326(f303(x120031),x120032)))),
% 149.25/148.82 inference(rename_variables,[],[3638])).
% 149.25/148.82 cnf(12008,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120081,a866)),f326(f168(x120081),f326(f132(x120081,x120082),x120083))),f326(f168(x120081),x120083)))),
% 149.25/148.82 inference(rename_variables,[],[3920])).
% 149.25/148.82 cnf(12015,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x120151),x120152),f190(f880(x120151,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12020,plain,
% 149.25/148.82 (E(f326(f191(f873(x120201)),f326(f164(x120201),x120202)),f326(f191(f873(x120201)),x120202))),
% 149.25/148.82 inference(rename_variables,[],[3287])).
% 149.25/148.82 cnf(12027,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120271,a866)),x120272),f249(f880(x120271,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(12028,plain,
% 149.25/148.82 (~E(f326(a117,x120281),x120281)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12030,plain,
% 149.25/148.82 (~P20(a867,f190(f880(f871(a867),a866)),f326(f326(f304(f871(a867)),f326(f326(f326(f93(a867),a323),a877),f197(a877))),f190(f880(f871(a867),a866))))),
% 149.25/148.82 inference(scs_inference,[],[3516,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,4461,10430,10523,3485,3190,2871,2872,2874,2875,2878,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,3203,11586,3208,10678,11592,3215,3734,3968,3105,3824,11362,3169,3134,3129,3113,3114,3287,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,3726,11577,3256,3356,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,4019,3976,3920,10807,3971,3638,11860,4008,3656,10986,11052,11133,11193,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,3296,10664,10817,10888,11611,11766,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,10949,3574,3722,10667,11005,11157,11187,11198,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160])).
% 149.25/148.82 cnf(12031,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120311,a866)),f190(f880(x120311,a866))),x120312))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(12034,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120341,a866)),f326(f168(x120341),f326(f132(x120341,x120342),x120343))),f326(f168(x120341),x120343)))),
% 149.25/148.82 inference(rename_variables,[],[3920])).
% 149.25/148.82 cnf(12040,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x120401),f326(a117,x120401)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12049,plain,
% 149.25/148.82 (E(f326(f257(x120491,x120491),f258(x120491,x120492)),x120492)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12060,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a872),f326(a117,x120601)),x120601))),
% 149.25/148.82 inference(rename_variables,[],[4529])).
% 149.25/148.82 cnf(12061,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x120611),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12064,plain,
% 149.25/148.82 (P103(f326(f62(x120641),f190(f880(x120641,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3352])).
% 149.25/148.82 cnf(12065,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x120651),x120652),f190(f880(x120651,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12070,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x120701),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12071,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x120711),x120711))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12076,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120761,a866)),f326(f168(x120761),f166(x120761,x120762,x120763))),f326(f168(x120761),x120763)))),
% 149.25/148.82 inference(rename_variables,[],[3971])).
% 149.25/148.82 cnf(12079,plain,
% 149.25/148.82 (P21(x120791,x120791,f5(x120791),x120792)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12084,plain,
% 149.25/148.82 (P103(f326(f326(f328(f880(x120841,a866)),x120842),f326(f303(x120841),x120842)))),
% 149.25/148.82 inference(rename_variables,[],[3638])).
% 149.25/148.82 cnf(12091,plain,
% 149.25/148.82 (P103(f326(f326(f197(a24),x120911),x120911))),
% 149.25/148.82 inference(rename_variables,[],[3273])).
% 149.25/148.82 cnf(12094,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x120941),x120942),f190(f880(x120941,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12097,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120971,a866)),x120972),f326(f326(f304(x120971),x120973),x120972)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(12098,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x120981,a866)),x120982),f249(f880(x120981,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(12105,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x121051),x121051))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12108,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x121081),x121081))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12111,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x121111),x121111))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12114,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x121141),x121141))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12117,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x121171),f326(a117,x121171)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12120,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x121201),f326(a117,x121201)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12123,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x121231,a866)),x121232),x121232))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12125,plain,
% 149.25/148.82 (~P103(f326(f326(f240(a1),f326(f326(f22(a1),a84),a102)),f2(a1)))),
% 149.25/148.82 inference(scs_inference,[],[3516,11042,4482,4483,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,4461,10430,10523,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,3203,11586,3208,10678,11592,3215,3734,3968,3105,3824,11362,3169,3134,3129,3113,3114,3287,3334,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,11709,4019,3976,3920,10807,12008,3971,10989,3638,11860,12003,4008,3656,10986,11052,11133,11193,12027,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,3433,10604,10868,10912,11182,11260,11421,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,3296,10664,10817,10888,11611,11766,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,10949,11882,3574,11151,3722,10667,11005,11157,11187,11198,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,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% 149.25/148.82 cnf(12130,plain,
% 149.25/148.82 (P103(f326(f326(f328(f880(x121301,a866)),x121302),f326(f303(x121301),x121302)))),
% 149.25/148.82 inference(rename_variables,[],[3638])).
% 149.25/148.82 cnf(12139,plain,
% 149.25/148.82 (~E(f326(a117,x121391),x121391)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12140,plain,
% 149.25/148.82 (E(f326(f305(x121401,x121401,f5(x121401)),x121402),x121402)),
% 149.25/148.82 inference(rename_variables,[],[3334])).
% 149.25/148.82 cnf(12143,plain,
% 149.25/148.82 (P32(x121431,x121432,f118(x121431),f118(x121431))),
% 149.25/148.82 inference(rename_variables,[],[3525])).
% 149.25/148.82 cnf(12146,plain,
% 149.25/148.82 (~E(f326(a117,x121461),x121461)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12149,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x121491,a866)),f326(f168(x121491),f166(x121491,x121492,x121493))),f326(f168(x121491),x121493)))),
% 149.25/148.82 inference(rename_variables,[],[3971])).
% 149.25/148.82 cnf(12150,plain,
% 149.25/148.82 (P103(f326(f62(x121501),f326(f168(x121501),x121502)))),
% 149.25/148.82 inference(rename_variables,[],[3316])).
% 149.25/148.82 cnf(12161,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x121611),x121611))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12164,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x121641),x121641))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12169,plain,
% 149.25/148.82 (E(f326(f191(f873(x121691)),f326(f164(x121691),x121692)),f326(f191(f873(x121691)),x121692))),
% 149.25/148.82 inference(rename_variables,[],[3287])).
% 149.25/148.82 cnf(12172,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x121721))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(12179,plain,
% 149.25/148.82 (P28(a872,f326(f165(a872),f326(f326(f150(f873(x121791),a872),f191(f873(x121791))),f176(x121791,x121792))))),
% 149.25/148.82 inference(rename_variables,[],[3834])).
% 149.25/148.82 cnf(12182,plain,
% 149.25/148.82 (P21(x121821,x121821,f5(x121821),x121822)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12185,plain,
% 149.25/148.82 (P103(f326(f326(f328(f873(x121851)),f118(x121851)),f157(x121851,x121852)))),
% 149.25/148.82 inference(rename_variables,[],[3478])).
% 149.25/148.82 cnf(12188,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x121881,f880(x121882,a866))),x121883),x121884))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(12193,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x121931),x121931))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12194,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x121941))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(12196,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),f2(a1)),f492(x121961,f190(f880(x121962,f880(x121963,a866))),f79(a1))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,3525,4482,4483,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,4461,10430,10523,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,3203,11586,3208,10678,11592,3215,3734,3968,3105,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,3334,10810,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,3637,4337,4338,4469,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,11709,4019,3976,3920,10807,12008,3971,10989,12076,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,3433,10604,10868,10912,11182,11260,11421,11662,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,10949,11882,3574,11151,3722,10667,11005,11157,11187,11198,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,4159,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,1018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% 149.25/148.82 cnf(12197,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x121971,f880(x121972,a866))),x121973),x121974))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(12200,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(f879(f873(x122001),f873(x122001)),a866)),f154(x122001,x122002)),f302(f873(x122001),f153(x122001,x122002))))),
% 149.25/148.82 inference(rename_variables,[],[3976])).
% 149.25/148.82 cnf(12206,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122061,a866)),f326(f168(x122061),f166(x122061,x122062,x122063))),f326(f168(x122061),x122063)))),
% 149.25/148.82 inference(rename_variables,[],[3971])).
% 149.25/148.82 cnf(12207,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122071,a866)),f326(f168(x122071),f326(f132(x122071,x122072),x122073))),f326(f168(x122071),x122073)))),
% 149.25/148.82 inference(rename_variables,[],[3920])).
% 149.25/148.82 cnf(12210,plain,
% 149.25/148.82 (~P103(f326(f326(f241(f880(x122101,a866)),x122102),f190(f880(x122101,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4542])).
% 149.25/148.82 cnf(12213,plain,
% 149.25/148.82 (P21(x122131,f876(x122131),f233(x122131),x122132)),
% 149.25/148.82 inference(rename_variables,[],[3526])).
% 149.25/148.82 cnf(12218,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122181,a866)),f326(f305(x122182,x122181,x122183),f326(f306(x122182,x122181,x122183),x122184))),x122184))),
% 149.25/148.82 inference(rename_variables,[],[4159])).
% 149.25/148.82 cnf(12221,plain,
% 149.25/148.82 (P103(f326(f62(f876(x122211)),f326(f305(x122212,f876(x122211),f326(f174(x122212,x122211),x122213)),f249(f880(x122212,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3985])).
% 149.25/148.82 cnf(12226,plain,
% 149.25/148.82 (P103(f326(f326(f328(f873(x122261)),f118(x122261)),f157(x122261,x122262)))),
% 149.25/148.82 inference(rename_variables,[],[3478])).
% 149.25/148.82 cnf(12229,plain,
% 149.25/148.82 (~P103(f326(f326(f328(f879(f873(x122291),f873(x122291))),f326(f326(f261(f873(x122291),f873(x122291)),x122292),f118(x122291))),f141(x122291,x122293)))),
% 149.25/148.82 inference(rename_variables,[],[4554])).
% 149.25/148.82 cnf(12232,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x122321),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12234,plain,
% 149.25/148.82 (~P103(f326(f62(x122341),f249(f880(x122341,a866))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,3525,3526,3241,4482,4483,3143,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,4461,10430,10523,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,3203,11586,3208,10678,11592,3215,3734,3968,3105,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,3334,10810,3202,3225,10471,3380,4541,3908,4472,10262,10427,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,3910,10983,11109,11160,4554,10915,11114,11219,11241,11279,11285,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,3637,4337,4338,4469,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3470,4537,4049,11236,3597,3316,11706,11709,4019,3976,11850,12200,3920,10807,12008,12034,3971,10989,12076,12149,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,3433,10604,10868,10912,11182,11260,11421,11662,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,3338,10631,10661,10670,11211,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,3985,3876,11301,11637,11641,3720,10928,10934,10949,11882,3574,11151,12123,3722,10667,11005,11157,11187,11198,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,4159,10800,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153])).
% 149.25/148.82 cnf(12235,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122351,a866)),x122352),x122352))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12238,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x122381),x122382),f190(f880(x122381,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12241,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x122411,f880(x122412,a866))),x122413),x122414))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(12244,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122441,a866)),f326(f305(x122442,x122441,x122443),f326(f306(x122442,x122441,x122443),x122444))),x122444))),
% 149.25/148.82 inference(rename_variables,[],[4159])).
% 149.25/148.82 cnf(12245,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122451,a866)),x122452),x122452))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12250,plain,
% 149.25/148.82 (E(f326(f257(x122501,x122501),f258(x122501,x122502)),x122502)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12253,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x122531,a866)),f326(f168(x122531),f166(x122531,x122532,x122533))),f326(f168(x122531),x122533)))),
% 149.25/148.82 inference(rename_variables,[],[3971])).
% 149.25/148.82 cnf(12254,plain,
% 149.25/148.82 (P103(f326(f62(x122541),f326(f168(x122541),x122542)))),
% 149.25/148.82 inference(rename_variables,[],[3316])).
% 149.25/148.82 cnf(12260,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x122601),x122601))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12263,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x122631),x122631))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12274,plain,
% 149.25/148.82 (P21(x122741,x122741,f5(x122741),x122742)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12281,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x122811),x122812),f190(f880(x122811,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12284,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x122841,x122841)),f326(f326(f261(x122841,x122841),x122842),x122842)),f302(x122841,x122843)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(12287,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x122871),x122872),f190(f880(x122871,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12290,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x122901,x122901)),f326(f326(f261(x122901,x122901),x122902),x122902)),f302(x122901,x122903)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(12300,plain,
% 149.25/148.82 (~E(f326(f326(f147(x123001),x123002),x123003),x123003)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(12303,plain,
% 149.25/148.82 (P103(f326(f326(f328(x123031),x123032),f249(f880(x123031,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(12304,plain,
% 149.25/148.82 (~E(f326(a117,x123041),x123041)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12307,plain,
% 149.25/148.82 (P103(f326(f326(f328(f873(x123071)),f118(x123071)),f157(x123071,x123072)))),
% 149.25/148.82 inference(rename_variables,[],[3478])).
% 149.25/148.82 cnf(12308,plain,
% 149.25/148.82 (~E(f326(f326(f147(x123081),x123082),x123083),f118(x123081))),
% 149.25/148.82 inference(rename_variables,[],[4481])).
% 149.25/148.82 cnf(12311,plain,
% 149.25/148.82 (P103(f326(f326(f328(x123111),f326(x123112,x123113)),f326(f305(x123114,x123111,x123112),f249(f880(x123114,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(12312,plain,
% 149.25/148.82 (P21(x123121,x123121,f5(x123121),x123122)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12315,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123151,a866)),f190(f880(x123151,a866))),x123152))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(12316,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123161,a866)),x123162),x123162))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12319,plain,
% 149.25/148.82 (P103(f326(f326(f328(x123191),f326(x123192,x123193)),f326(f305(x123194,x123191,x123192),f249(f880(x123194,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(12320,plain,
% 149.25/148.82 (P21(x123201,x123201,f5(x123201),x123202)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12323,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x123231),f873(x123231))),f326(f326(f261(f873(x123231),f873(x123231)),f118(x123231)),f118(x123231))),f154(x123231,x123232)))),
% 149.25/148.82 inference(rename_variables,[],[4055])).
% 149.25/148.82 cnf(12326,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x123261),x123261))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12327,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x123271),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12333,plain,
% 149.25/148.82 (E(f326(f326(f126(x123331),x123332),f118(x123331)),x123332)),
% 149.25/148.82 inference(rename_variables,[],[3203])).
% 149.25/148.82 cnf(12334,plain,
% 149.25/148.82 (~E(f326(f326(f147(x123341),x123342),x123343),x123343)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(12337,plain,
% 149.25/148.82 (E(f326(f326(f126(x123371),x123372),f118(x123371)),x123372)),
% 149.25/148.82 inference(rename_variables,[],[3203])).
% 149.25/148.82 cnf(12338,plain,
% 149.25/148.82 (~E(f326(f326(f147(x123381),x123382),x123383),x123383)),
% 149.25/148.82 inference(rename_variables,[],[4472])).
% 149.25/148.82 cnf(12341,plain,
% 149.25/148.82 (E(f326(f326(f126(x123411),x123412),f118(x123411)),x123412)),
% 149.25/148.82 inference(rename_variables,[],[3203])).
% 149.25/148.82 cnf(12350,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123501,a866)),x123502),f249(f880(x123501,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(12354,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x123541),x123541))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12355,plain,
% 149.25/148.82 (~E(f326(a117,x123551),x123551)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12358,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123581,a866)),f190(f880(x123581,a866))),x123582))),
% 149.25/148.82 inference(rename_variables,[],[3722])).
% 149.25/148.82 cnf(12361,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x123611),x123611))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12364,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123641,a866)),x123642),x123642))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12369,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123691,a866)),x123692),f326(f326(f304(x123691),x123693),x123692)))),
% 149.25/148.82 inference(rename_variables,[],[3720])).
% 149.25/148.82 cnf(12372,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x123721,a866)),x123722),x123722))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12373,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x123731),x123732),f190(f880(x123731,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12376,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x123761),x123762),f190(f880(x123761,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12385,plain,
% 149.25/148.82 (P21(x123851,x123851,f5(x123851),x123852)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12388,plain,
% 149.25/148.82 (E(f326(f191(f873(x123881)),f326(f164(x123881),x123882)),f326(f191(f873(x123881)),x123882))),
% 149.25/148.82 inference(rename_variables,[],[3287])).
% 149.25/148.82 cnf(12391,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x123911),x123911))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12392,plain,
% 149.25/148.82 (P103(f326(f249(f880(x123921,a866)),x123922))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(12395,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x123951),x123952),f190(f880(x123951,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12398,plain,
% 149.25/148.82 (P103(f326(f326(f328(x123981),f326(x123982,x123983)),f326(f305(x123984,x123981,x123982),f249(f880(x123984,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(12399,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x123991,x123991)),f326(f326(f261(x123991,x123991),x123992),x123992)),f302(x123991,x123993)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(12402,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x124021,x124021)),f326(f326(f261(x124021,x124021),x124022),x124022)),f302(x124021,x124023)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(12405,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x124051),x124051))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12406,plain,
% 149.25/148.82 (P103(f326(f249(f880(x124061,a866)),x124062))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(12409,plain,
% 149.25/148.82 (P103(f326(f62(x124091),f326(f168(x124091),x124092)))),
% 149.25/148.82 inference(rename_variables,[],[3316])).
% 149.25/148.82 cnf(12414,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x124141),f873(x124141))),f326(f326(f261(f873(x124141),f873(x124141)),f118(x124141)),f118(x124141))),f326(f326(f283(f873(x124141),f873(x124141),f873(x124141)),f154(x124141,x124142)),f154(x124141,x124142))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,3525,3526,3241,4482,4483,3143,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,4461,10430,10523,3333,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,12169,3334,10810,12140,3201,3202,3225,10471,3380,4541,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,12323,3910,10983,11109,11160,12284,12290,12399,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3665,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,3433,10604,10868,10912,11182,11260,11421,11662,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,12197,4159,10800,12218,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416])).
% 149.25/148.82 cnf(12416,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x124161,x124161)),f326(f326(f261(x124161,x124161),x124162),x124162)),f326(f326(f283(x124161,x124161,x124161),f302(x124161,x124163)),f302(x124161,f302(x124161,x124163)))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,3525,3526,3241,4482,4483,3143,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,4461,10430,10523,3333,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,12169,3334,10810,12140,3201,3202,3225,10471,3380,4541,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,12323,3910,10983,11109,11160,12284,12290,12399,12402,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3665,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,3433,10604,10868,10912,11182,11260,11421,11662,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,12197,4159,10800,12218,4060,3752,3700,4546,10281,10284,10625,10628,11457,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423])).
% 149.25/148.82 cnf(12419,plain,
% 149.25/148.82 (~P103(f326(f326(f190(f880(x124191,f880(x124192,a866))),x124193),x124194))),
% 149.25/148.82 inference(rename_variables,[],[4549])).
% 149.25/148.82 cnf(12422,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x124221,a866)),x124222),f249(f880(x124221,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(12425,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(x124251,x124251)),f326(f326(f261(x124251,x124251),x124252),x124252)),f302(x124251,x124253)))),
% 149.25/148.82 inference(rename_variables,[],[3910])).
% 149.25/148.82 cnf(12428,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x124281),x124282)),x124282))),
% 149.25/148.82 inference(rename_variables,[],[4546])).
% 149.25/148.82 cnf(12429,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x124291),f326(a117,x124291)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12432,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x124321,a866)),f326(f168(x124321),f326(f132(x124321,x124322),x124323))),f326(f168(x124321),x124323)))),
% 149.25/148.82 inference(rename_variables,[],[3920])).
% 149.25/148.82 cnf(12435,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x124351,a866)),x124352),f249(f880(x124351,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3656])).
% 149.25/148.82 cnf(12438,plain,
% 149.25/148.82 (E(f326(f257(x124381,x124381),f258(x124381,x124382)),x124382)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12445,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f879(f873(x124451),f873(x124451)),f879(f873(x124451),f873(x124451)))),f594(f302(f879(f873(x124451),f873(x124451)),x124452),f141(x124451,x124453),f879(f873(x124451),f873(x124451)))),f302(f879(f873(x124451),f873(x124451)),x124452)))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,3525,3526,3241,4482,4483,3143,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,4461,10430,10523,3333,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3612,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,12169,3334,10810,12140,3201,3202,3225,10471,3380,4541,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,12323,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3665,4192,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,12207,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,3433,10604,10868,10912,11182,11260,11421,11662,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,12197,12241,4159,10800,12218,4060,3752,3700,4546,10281,10284,10625,10628,11457,11642,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,867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% 149.25/148.82 cnf(12449,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x124491),x124492),f190(f880(x124491,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12450,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x124501),f873(x124501))),f326(f326(f261(f873(x124501),f873(x124501)),f118(x124501)),f118(x124501))),f154(x124501,x124502)))),
% 149.25/148.82 inference(rename_variables,[],[4055])).
% 149.25/148.82 cnf(12455,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x124551),x124552),f190(f880(x124551,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12458,plain,
% 149.25/148.82 (P31(x124581,x124582,f118(x124581))),
% 149.25/148.82 inference(rename_variables,[],[3207])).
% 149.25/148.82 cnf(12461,plain,
% 149.25/148.82 (E(f326(f191(f873(x124611)),f326(f164(x124611),x124612)),f326(f191(f873(x124611)),x124612))),
% 149.25/148.82 inference(rename_variables,[],[3287])).
% 149.25/148.82 cnf(12464,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x124641),x124642),f190(f880(x124641,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12470,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x124701),x124701))),
% 149.25/148.82 inference(rename_variables,[],[4516])).
% 149.25/148.82 cnf(12472,plain,
% 149.25/148.82 (P103(f326(f326(f328(f879(f873(x124721),f873(x124721))),f326(f326(f261(f873(x124721),f873(x124721)),f326(f164(x124721),x124722)),x124722)),f154(x124721,f249(f880(f879(x124721,x124721),a866)))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,3525,3526,3241,3207,4482,4483,3143,4464,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,4461,10430,10523,3333,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,3061,4442,3612,3115,11312,3317,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,3824,11362,3169,3134,3129,3113,3114,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3381,3164,10329,10634,3165,3438,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,3726,11577,3256,3356,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3665,4192,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,12207,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,3433,10604,10868,10912,11182,11260,11421,11662,12303,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,12197,12241,4159,10800,12218,4060,3752,3700,4546,10281,10284,10625,10628,11457,11642,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568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% 149.25/148.82 cnf(12473,plain,
% 149.25/148.82 (P103(f326(f326(f328(x124731),x124732),f249(f880(x124731,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3433])).
% 149.25/148.82 cnf(12479,plain,
% 149.25/148.82 (P103(f326(f326(f240(f880(x124791,a866)),x124792),x124792))),
% 149.25/148.82 inference(rename_variables,[],[3574])).
% 149.25/148.82 cnf(12482,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x124821),x124822),f190(f880(x124821,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12485,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),f2(a1)),f326(f326(f251(a1),f326(f76(a1),x124851)),x124852)))),
% 149.25/148.82 inference(rename_variables,[],[3752])).
% 149.25/148.82 cnf(12488,plain,
% 149.25/148.82 (~E(f326(a117,x124881),x124881)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12490,plain,
% 149.25/148.82 (E(f326(f257(x124901,x124901),f258(x124901,x124902)),x124902)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12492,plain,
% 149.25/148.82 (P20(x124921,x124922,f190(f880(f871(x124921),a866)))),
% 149.25/148.82 inference(rename_variables,[],[3332])).
% 149.25/148.82 cnf(12498,plain,
% 149.25/148.82 (E(f326(f257(x124981,x124981),f258(x124981,x124982)),x124982)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12502,plain,
% 149.25/148.82 (E(f190(f880(f879(x125021,x125021),a866)),f258(x125021,f190(f880(x125021,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3347])).
% 149.25/148.82 cnf(12504,plain,
% 149.25/148.82 (E(f326(f257(x125041,x125041),f258(x125041,x125042)),x125042)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12506,plain,
% 149.25/148.82 (E(f326(f257(x125061,x125061),f258(x125061,x125062)),x125062)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12511,plain,
% 149.25/148.82 (P21(x125111,x125111,f5(x125111),x125112)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12513,plain,
% 149.25/148.82 (P21(x125131,x125131,f5(x125131),x125132)),
% 149.25/148.82 inference(rename_variables,[],[3516])).
% 149.25/148.82 cnf(12523,plain,
% 149.25/148.82 (E(f326(f257(x125231,x125231),f258(x125231,x125232)),x125232)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12525,plain,
% 149.25/148.82 (E(f326(f257(x125251,x125251),f258(x125251,x125252)),x125252)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12527,plain,
% 149.25/148.82 (P37(x125271,f149(x125271,x125272))),
% 149.25/148.82 inference(rename_variables,[],[3143])).
% 149.25/148.82 cnf(12543,plain,
% 149.25/148.82 (E(f326(f257(x125431,x125431),f258(x125431,x125432)),x125432)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12545,plain,
% 149.25/148.82 (E(f326(f257(x125451,x125451),f258(x125451,x125452)),x125452)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12547,plain,
% 149.25/148.82 (E(f326(f257(x125471,x125471),f258(x125471,x125472)),x125472)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12553,plain,
% 149.25/148.82 (P47(x125531,x125532,f258(x125531,x125532))),
% 149.25/148.82 inference(rename_variables,[],[3240])).
% 149.25/148.82 cnf(12555,plain,
% 149.25/148.82 (P47(x125551,x125552,f258(x125551,x125552))),
% 149.25/148.82 inference(rename_variables,[],[3240])).
% 149.25/148.82 cnf(12559,plain,
% 149.25/148.82 (P41(x125591,x125592,x125593,x125594,f190(f880(x125591,a866)),x125594)),
% 149.25/148.82 inference(rename_variables,[],[4222])).
% 149.25/148.82 cnf(12562,plain,
% 149.25/148.82 (P41(x125621,x125622,x125623,x125624,f190(f880(x125621,a866)),x125624)),
% 149.25/148.82 inference(rename_variables,[],[4222])).
% 149.25/148.82 cnf(12566,plain,
% 149.25/148.82 (P50(x125661,x125661,f258(x125661,x125662))),
% 149.25/148.82 inference(rename_variables,[],[3241])).
% 149.25/148.82 cnf(12575,plain,
% 149.25/148.82 (E(f326(f257(x125751,x125751),f258(x125751,x125752)),x125752)),
% 149.25/148.82 inference(rename_variables,[],[3230])).
% 149.25/148.82 cnf(12577,plain,
% 149.25/148.82 (P51(x125771,f190(f880(x125771,a866)),x125772)),
% 149.25/148.82 inference(rename_variables,[],[3294])).
% 149.25/148.82 cnf(12581,plain,
% 149.25/148.82 (P38(x125811,f193(x125811))),
% 149.25/148.82 inference(rename_variables,[],[3102])).
% 149.25/148.82 cnf(12590,plain,
% 149.25/148.82 (P11(x125901,f880(x125901,a866),f304(x125901))),
% 149.25/148.82 inference(rename_variables,[],[3244])).
% 149.25/148.82 cnf(12594,plain,
% 149.25/148.82 (P29(x125941,f2(a872),f326(f326(f326(f93(x125941),x125942),f326(a26,x125943)),x125944))),
% 149.25/148.82 inference(rename_variables,[],[3649])).
% 149.25/148.82 cnf(12600,plain,
% 149.25/148.82 (P32(x126001,x126002,f118(x126001),f118(x126001))),
% 149.25/148.82 inference(rename_variables,[],[3525])).
% 149.25/148.82 cnf(12602,plain,
% 149.25/148.82 (P32(x126021,x126022,f118(x126021),f118(x126021))),
% 149.25/148.82 inference(rename_variables,[],[3525])).
% 149.25/148.82 cnf(12609,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),f2(a872)),f326(a117,x126091)))),
% 149.25/148.82 inference(rename_variables,[],[3356])).
% 149.25/148.82 cnf(12610,plain,
% 149.25/148.82 (~E(f326(a117,x126101),x126101)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12616,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x126161),f326(a117,x126161)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12621,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x126211),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12623,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),a84),f2(a1)))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,4461,10430,10523,3333,3294,12577,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3015,3016,3018,3020,3031,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,4536,11460,11493,11528,11557,3713,3486,3859,3302,3304,3277,4517,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,12207,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,3433,10604,10868,10912,11182,11260,11421,11662,12303,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,4099,4527,3764,3800,4506,4509,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,4548,11574,4538,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,3700,4546,10281,10284,10625,10628,11457,11642,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320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% 149.25/148.82 cnf(12630,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x126301)),f326(f80(a1),f326(f105(a1),x126302))))),
% 149.25/148.82 inference(rename_variables,[],[4543])).
% 149.25/148.82 cnf(12640,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x126401),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12643,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x126431),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12646,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126461,x126462)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12649,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126491,x126492)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12652,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126521,x126522)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12655,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126551,x126552)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12662,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),f326(f80(a1),f326(f105(a1),x126621))),f326(f105(a1),x126622)))),
% 149.25/148.82 inference(rename_variables,[],[3753])).
% 149.25/148.82 cnf(12664,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),f2(a1)),f326(f108(a1),f2(a1))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,4461,10430,10523,3333,3294,12577,3485,3190,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3011,3015,3016,3018,3020,3031,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,4536,11460,11493,11528,11557,3713,3486,3488,12646,12649,12652,3859,3302,3304,3277,4517,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,12207,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,3433,10604,10868,10912,11182,11260,11421,11662,12303,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,11712,4099,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,3876,11301,11637,11641,11703,12311,12319,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,3700,3701,4546,10281,10284,10625,10628,11457,11642,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,69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% 149.25/148.82 cnf(12667,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x126671),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12668,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x126681),x126681))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12675,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x126751),f326(a117,x126751)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12680,plain,
% 149.25/148.82 (P103(f326(f326(f328(x126801),f326(x126802,x126803)),f326(f305(x126804,x126801,x126802),f249(f880(x126804,a866)))))),
% 149.25/148.82 inference(rename_variables,[],[3876])).
% 149.25/148.82 cnf(12681,plain,
% 149.25/148.82 (~E(f326(a117,x126811),f2(a872))),
% 149.25/148.82 inference(rename_variables,[],[4456])).
% 149.25/148.82 cnf(12683,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f2(a1)),f326(f108(a1),f2(a1))))),
% 149.25/148.82 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,4461,10430,10523,3333,3294,12577,3485,3190,4456,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2893,2896,2897,2898,2905,2911,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2995,3009,3011,3015,3016,3018,3020,3031,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3834,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,4536,11460,11493,11528,11557,3713,3486,3488,12646,12649,12652,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,4019,3976,11850,12200,3920,10807,12008,12034,12207,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,3276,3352,12064,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,3433,10604,10868,10912,11182,11260,11421,11662,12303,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,3338,10631,10661,10670,11211,11761,12392,3376,3370,3792,3731,10308,11580,11610,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,3753,11712,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,3700,3701,4546,10281,10284,10625,10628,11457,11642,4547,11554,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,68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% 149.25/148.82 cnf(12686,plain,
% 149.25/148.82 (P103(f326(f326(f240(a1),x126861),x126861))),
% 149.25/148.82 inference(rename_variables,[],[3275])).
% 149.25/148.82 cnf(12689,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126891,x126892)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12692,plain,
% 149.25/148.82 (P103(f326(f62(a872),f299(a872,x126921,x126922)))),
% 149.25/148.82 inference(rename_variables,[],[3488])).
% 149.25/148.82 cnf(12695,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x126951),x126951))),
% 149.25/148.82 inference(rename_variables,[],[3274])).
% 149.25/148.82 cnf(12696,plain,
% 149.25/148.82 (~E(f326(a117,x126961),f2(a872))),
% 149.25/148.82 inference(rename_variables,[],[4456])).
% 149.25/148.82 cnf(12713,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f45(a872,x127131,x127132)),x127131))),
% 149.25/148.82 inference(rename_variables,[],[3731])).
% 149.25/148.82 cnf(12718,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x127181),f326(a117,x127181)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12721,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x127211),f326(a117,x127211)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12722,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a872),x127221),f2(a872)))),
% 149.25/148.82 inference(rename_variables,[],[4520])).
% 149.25/148.82 cnf(12731,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x127311)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(12732,plain,
% 149.25/148.82 (P103(f326(f249(f880(x127321,a866)),x127322))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(12735,plain,
% 149.25/148.82 (~P103(f326(f326(f241(a1),f326(f105(a1),x127351)),f2(a1)))),
% 149.25/148.82 inference(rename_variables,[],[4536])).
% 149.25/148.82 cnf(12736,plain,
% 149.25/148.82 (P103(f326(f249(f880(x127361,a866)),x127362))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(12739,plain,
% 149.25/148.82 (P103(f326(f249(f880(x127391,a866)),x127392))),
% 149.25/148.82 inference(rename_variables,[],[3338])).
% 149.25/148.82 cnf(12750,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x127501),x127502),f190(f880(x127501,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12751,plain,
% 149.25/148.82 (P103(f326(f62(x127511),f190(f880(x127511,a866))))),
% 149.25/148.82 inference(rename_variables,[],[3352])).
% 149.25/148.82 cnf(12760,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),f2(a872)),x127601))),
% 149.25/148.82 inference(rename_variables,[],[3296])).
% 149.25/148.82 cnf(12763,plain,
% 149.25/148.82 (P103(f326(f326(f241(a872),x127631),f326(a117,x127631)))),
% 149.25/148.82 inference(rename_variables,[],[3344])).
% 149.25/148.82 cnf(12764,plain,
% 149.25/148.82 (~E(f326(a117,x127641),x127641)),
% 149.25/148.82 inference(rename_variables,[],[4446])).
% 149.25/148.82 cnf(12767,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x127671),x127672),f190(f880(x127671,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12770,plain,
% 149.25/148.82 (~P103(f326(f326(f328(x127701),x127702),f190(f880(x127701,a866))))),
% 149.25/148.82 inference(rename_variables,[],[4532])).
% 149.25/148.82 cnf(12773,plain,
% 149.25/148.82 (P103(f326(f326(f240(a872),x127731),x127731))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12781,plain,
% 149.25/148.83 (P103(f326(f326(f241(a872),x127811),f326(a117,x127811)))),
% 149.25/148.83 inference(rename_variables,[],[3344])).
% 149.25/148.83 cnf(12784,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x127841),x127841))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12789,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x127891),x127891))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12792,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x127921),x127921))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12795,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x127951),x127951))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12798,plain,
% 149.25/148.83 (E(f326(f326(f22(f880(x127981,a866)),f190(f880(x127981,a866))),x127982),f190(f880(x127981,a866)))),
% 149.25/148.83 inference(rename_variables,[],[3547])).
% 149.25/148.83 cnf(12799,plain,
% 149.25/148.83 (P103(f326(f62(x127991),f190(f880(x127991,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12802,plain,
% 149.25/148.83 (E(f326(f326(f22(f880(x128021,a866)),f190(f880(x128021,a866))),x128022),f190(f880(x128021,a866)))),
% 149.25/148.83 inference(rename_variables,[],[3547])).
% 149.25/148.83 cnf(12803,plain,
% 149.25/148.83 (P103(f326(f62(x128031),f190(f880(x128031,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12806,plain,
% 149.25/148.83 (E(f326(f326(f22(f880(x128061,a866)),f190(f880(x128061,a866))),x128062),f190(f880(x128061,a866)))),
% 149.25/148.83 inference(rename_variables,[],[3547])).
% 149.25/148.83 cnf(12807,plain,
% 149.25/148.83 (P103(f326(f62(x128071),f190(f880(x128071,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12810,plain,
% 149.25/148.83 (E(f326(f326(f22(f880(x128101,a866)),f190(f880(x128101,a866))),x128102),f190(f880(x128101,a866)))),
% 149.25/148.83 inference(rename_variables,[],[3547])).
% 149.25/148.83 cnf(12811,plain,
% 149.25/148.83 (P103(f326(f62(x128111),f190(f880(x128111,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12815,plain,
% 149.25/148.83 (E(f326(f257(x128151,x128151),f258(x128151,x128152)),x128152)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(12820,plain,
% 149.25/148.83 (E(f326(f326(f22(f880(x128201,a866)),f190(f880(x128201,a866))),x128202),f190(f880(x128201,a866)))),
% 149.25/148.83 inference(rename_variables,[],[3547])).
% 149.25/148.83 cnf(12821,plain,
% 149.25/148.83 (P103(f326(f62(x128211),f190(f880(x128211,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12825,plain,
% 149.25/148.83 (P103(f326(f62(x128251),f190(f880(x128251,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3352])).
% 149.25/148.83 cnf(12828,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x128281),x128281))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12832,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x128321),x128321))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12841,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x128411),x128411))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12852,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x128521),x128521))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12855,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x128551),x128551))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12862,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x128621),x128622),f190(f880(x128621,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(12873,plain,
% 149.25/148.83 (P103(f326(f326(f328(x128731),x128732),f249(f880(x128731,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3433])).
% 149.25/148.83 cnf(12877,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x128771,a866)),x128772),f249(f880(x128771,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3656])).
% 149.25/148.83 cnf(12880,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x128801,a866)),f326(f168(x128801),f326(f132(x128801,x128802),x128803))),f326(f168(x128801),x128803)))),
% 149.25/148.83 inference(rename_variables,[],[3920])).
% 149.25/148.83 cnf(12886,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),x128861),f2(a872)))),
% 149.25/148.83 inference(rename_variables,[],[4520])).
% 149.25/148.83 cnf(12887,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x128871),x128871))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12891,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),x128911),f2(a872)))),
% 149.25/148.83 inference(rename_variables,[],[4520])).
% 149.25/148.83 cnf(12892,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x128921),x128921))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12901,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x129011),x129011))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12908,plain,
% 149.25/148.83 (E(f326(f326(f16(x129081,x129082),x129083),x129084),x129083)),
% 149.25/148.83 inference(rename_variables,[],[3263])).
% 149.25/148.83 cnf(12911,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x129111,a866)),f326(f168(x129111),f166(x129111,x129112,x129113))),f326(f168(x129111),x129113)))),
% 149.25/148.83 inference(rename_variables,[],[3971])).
% 149.25/148.83 cnf(12913,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),f448(f326(x129131,f2(a872)),x129131,f2(a872))),f2(a872)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2948,2962,2963,2964,2974,2995,3006,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,11685,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,12194,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397])).
% 149.25/148.83 cnf(12915,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),x129151),f2(a872)))),
% 149.25/148.83 inference(rename_variables,[],[4520])).
% 149.25/148.83 cnf(12916,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x129161),x129161))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12920,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),x129201),f2(a872)))),
% 149.25/148.83 inference(rename_variables,[],[4520])).
% 149.25/148.83 cnf(12921,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x129211),x129211))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(12925,plain,
% 149.25/148.83 (~P103(f326(f326(f240(f880(a872,a866)),f297(a872,f326(a117,x129251),f326(a117,x129251))),f297(a872,x129252,x129251)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2948,2962,2963,2964,2974,2995,3006,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,11685,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,12194,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492])).
% 149.25/148.83 cnf(12926,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x129261),x129261))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12928,plain,
% 149.25/148.83 (~P103(f326(f326(f241(f880(a872,a866)),f297(a872,f326(a117,x129281),f326(a117,x129281))),f297(a872,x129282,x129281)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2948,2962,2963,2964,2974,2995,3006,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,11685,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,3296,10664,10817,10888,11611,11766,11955,12172,12194,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493])).
% 149.25/148.83 cnf(12929,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x129291),x129291))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(12932,plain,
% 149.25/148.83 (~P103(f326(f326(f240(a872),f326(a117,x129321)),x129321))),
% 149.25/148.83 inference(rename_variables,[],[4529])).
% 149.25/148.83 cnf(12937,plain,
% 149.25/148.83 (E(x129371,f553(f326(f5(x129372),f326(f5(x129372),x129371)),f5(x129372),x129372,x129372))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2942,2945,2946,2948,2962,2963,2964,2974,2995,3006,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,4481,12308,3263,11682,11685,4530,10977,11047,11271,11274,3674,3381,3598,3347,12502,3164,10329,10634,3165,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,4542,10755,11125,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,3720,10928,10934,10949,11882,12097,3574,11151,12123,12235,12245,12316,12364,12372,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638])).
% 149.25/148.83 cnf(12938,plain,
% 149.25/148.83 (P103(f326(f326(f328(x129381),f326(x129382,x129383)),f326(f305(x129384,x129381,x129382),f249(f880(x129384,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[3876])).
% 149.25/148.83 cnf(12939,plain,
% 149.25/148.83 (P21(x129391,x129391,f5(x129391),x129392)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12943,plain,
% 149.25/148.83 (P103(f326(f326(f328(x129431),x129432),f249(f880(x129431,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3433])).
% 149.25/148.83 cnf(12944,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x129441),x129442),f190(f880(x129441,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(12948,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x129481,a866)),x129482),f249(f880(x129481,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3656])).
% 149.25/148.83 cnf(12949,plain,
% 149.25/148.83 (P21(x129491,x129491,f5(x129491),x129492)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12953,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x129531,a866)),x129532),f249(f880(x129531,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3656])).
% 149.25/148.83 cnf(12954,plain,
% 149.25/148.83 (P21(x129541,x129541,f5(x129541),x129542)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12958,plain,
% 149.25/148.83 (P21(x129581,x129581,f5(x129581),x129582)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12961,plain,
% 149.25/148.83 (~P103(f326(f326(f241(f880(x129611,a866)),x129612),f190(f880(x129611,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4542])).
% 149.25/148.83 cnf(12964,plain,
% 149.25/148.83 (P21(x129641,x129641,f5(x129641),x129642)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12967,plain,
% 149.25/148.83 (P21(x129671,x129671,f5(x129671),x129672)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12978,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x129781,a866)),f190(f880(x129781,a866))),x129782))),
% 149.25/148.83 inference(rename_variables,[],[3722])).
% 149.25/148.83 cnf(12982,plain,
% 149.25/148.83 (E(f326(f257(x129821,x129821),f258(x129821,x129822)),x129822)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(12986,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x129861),x129862),f190(f880(x129861,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(12990,plain,
% 149.25/148.83 (P103(f326(f326(f328(x129901),f326(x129902,x129903)),f326(f305(x129904,x129901,x129902),f249(f880(x129904,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[3876])).
% 149.25/148.83 cnf(12991,plain,
% 149.25/148.83 (P21(x129911,x129911,f5(x129911),x129912)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(12994,plain,
% 149.25/148.83 (P103(f326(f326(f328(x129941),x129942),f249(f880(x129941,a866))))),
% 149.25/148.83 inference(rename_variables,[],[3433])).
% 149.25/148.83 cnf(13001,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x130011),x130012),f190(f880(x130011,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13004,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x130041),x130042),f190(f880(x130041,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13008,plain,
% 149.25/148.83 (E(f326(f326(f16(x130081,x130082),x130083),x130084),x130083)),
% 149.25/148.83 inference(rename_variables,[],[3263])).
% 149.25/148.83 cnf(13011,plain,
% 149.25/148.83 (P103(f326(f326(f241(a872),x130111),f326(a117,x130111)))),
% 149.25/148.83 inference(rename_variables,[],[3344])).
% 149.25/148.83 cnf(13012,plain,
% 149.25/148.83 (~E(f326(a117,x130121),x130121)),
% 149.25/148.83 inference(rename_variables,[],[4446])).
% 149.25/148.83 cnf(13015,plain,
% 149.25/148.83 (P103(f326(f326(f241(a872),x130151),f326(a117,f326(f326(f81(a872),x130152),x130151))))),
% 149.25/148.83 inference(rename_variables,[],[3724])).
% 149.25/148.83 cnf(13016,plain,
% 149.25/148.83 (P103(f326(f326(f241(a872),x130161),f326(a117,x130161)))),
% 149.25/148.83 inference(rename_variables,[],[3344])).
% 149.25/148.83 cnf(13018,plain,
% 149.25/148.83 (~E(f326(f326(f82(a872),f326(a117,f2(a872))),f34(x130181,x130182)),f326(f326(f82(a872),f326(a117,f2(a872))),f33(x130183,x130184)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2939,2942,2945,2946,2948,2962,2963,2964,2974,2995,3006,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,4530,10977,11047,11271,11274,3674,3258,3381,3598,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,3726,11577,3256,3356,11697,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,3859,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,3971,10989,12076,12149,12206,12253,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630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21,9977,9979,6021,6393,6394,6481])).
% 149.25/148.83 cnf(13025,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),f2(a1)),f326(f105(a1),x130251)))),
% 149.25/148.83 inference(rename_variables,[],[3376])).
% 149.25/148.83 cnf(13028,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),f2(a872)),x130281))),
% 149.25/148.83 inference(rename_variables,[],[3296])).
% 149.25/148.83 cnf(13032,plain,
% 149.25/148.83 (~E(f326(a117,x130321),f2(a872))),
% 149.25/148.83 inference(rename_variables,[],[4456])).
% 149.25/148.83 cnf(13035,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x130351),x130351))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(13045,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x130451),x130452),f190(f880(x130451,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13048,plain,
% 149.25/148.83 (P103(f326(f62(a872),f299(a872,x130481,x130482)))),
% 149.25/148.83 inference(rename_variables,[],[3488])).
% 149.25/148.83 cnf(13049,plain,
% 149.25/148.83 (E(f326(f326(f238(a872),f326(a117,x130491)),f326(a117,x130492)),f326(a117,f326(f326(f238(a872),x130491),x130492)))),
% 149.25/148.83 inference(rename_variables,[],[3450])).
% 149.25/148.83 cnf(13052,plain,
% 149.25/148.83 (P103(f326(f62(a872),f299(a872,x130521,x130522)))),
% 149.25/148.83 inference(rename_variables,[],[3488])).
% 149.25/148.83 cnf(13053,plain,
% 149.25/148.83 (E(f326(f326(f239(a872),f326(a117,x130531)),f326(a117,x130532)),f326(a117,f326(f326(f239(a872),x130531),x130532)))),
% 149.25/148.83 inference(rename_variables,[],[3451])).
% 149.25/148.83 cnf(13056,plain,
% 149.25/148.83 (P103(f326(f62(a872),f299(a872,x130561,x130562)))),
% 149.25/148.83 inference(rename_variables,[],[3488])).
% 149.25/148.83 cnf(13064,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x130641,a866)),f326(f168(x130641),f326(f132(x130641,x130642),x130643))),f326(f168(x130641),x130643)))),
% 149.25/148.83 inference(rename_variables,[],[3920])).
% 149.25/148.83 cnf(13065,plain,
% 149.25/148.83 (E(f326(f326(f16(x130651,x130652),x130653),x130654),x130653)),
% 149.25/148.83 inference(rename_variables,[],[3263])).
% 149.25/148.83 cnf(13068,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x130681,a866)),f326(f168(x130681),f326(f326(f171(x130681),x130682),x130683))),f326(f168(x130681),x130683)))),
% 149.25/148.83 inference(rename_variables,[],[3965])).
% 149.25/148.83 cnf(13069,plain,
% 149.25/148.83 (E(f326(f326(f16(x130691,x130692),x130693),x130694),x130693)),
% 149.25/148.83 inference(rename_variables,[],[3263])).
% 149.25/148.83 cnf(13073,plain,
% 149.25/148.83 (E(f326(f326(f16(x130731,x130732),x130733),x130734),x130733)),
% 149.25/148.83 inference(rename_variables,[],[3263])).
% 149.25/148.83 cnf(13086,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),f2(a1)),f326(f105(a1),x130861)))),
% 149.25/148.83 inference(rename_variables,[],[3376])).
% 149.25/148.83 cnf(13089,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x130891),x130892),f190(f880(x130891,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13092,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x130921),x130922),f190(f880(x130921,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13093,plain,
% 149.25/148.83 (E(f326(f257(x130931,x130931),f258(x130931,x130932)),x130932)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(13094,plain,
% 149.25/148.83 (P21(x130941,x130941,f5(x130941),x130942)),
% 149.25/148.83 inference(rename_variables,[],[3516])).
% 149.25/148.83 cnf(13098,plain,
% 149.25/148.83 (E(f326(f257(x130981,x130981),f258(x130981,x130982)),x130982)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(13112,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),f2(a872)),x131121))),
% 149.25/148.83 inference(rename_variables,[],[3296])).
% 149.25/148.83 cnf(13113,plain,
% 149.25/148.83 (P103(f326(f326(f241(a872),f2(a872)),f326(a117,x131131)))),
% 149.25/148.83 inference(rename_variables,[],[3356])).
% 149.25/148.83 cnf(13114,plain,
% 149.25/148.83 (E(f326(f257(x131141,x131141),f258(x131141,x131142)),x131142)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(13117,plain,
% 149.25/148.83 (P103(f326(f48(f326(f257(x131171,x131171),f258(x131171,f326(f326(f81(a872),f326(f326(f82(a872),f326(f260(a872,a872),f326(f326(f261(a872,a872),f2(a872)),x131172))),f326(a117,f326(f326(f81(a872),x131173),f326(f264(a872,a872),f326(f326(f261(a872,a872),f2(a872)),x131172)))))),f326(f264(a872,a872),f326(f326(f261(a872,a872),f2(a872)),x131172))))),f326(a117,f326(f326(f81(a872),x131173),f326(f264(a872,a872),f326(f326(f261(a872,a872),f2(a872)),x131172))))),f326(f326(f261(a872,a872),f2(a872)),x131172)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2917,2920,2921,2924,2925,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859])).
% 149.25/148.83 cnf(13133,plain,
% 149.25/148.83 (E(f326(f326(f81(a872),f2(a872)),f840(f326(a117,f2(a872)),f2(a872))),f2(a872))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2915,2917,2920,2921,2924,2925,2926,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,12920,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3972,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,13086,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859,9800,10150,4637,4639])).
% 149.25/148.83 cnf(13191,plain,
% 149.25/148.83 (P103(f326(f326(f241(a1),f2(a1)),f326(f76(a1),f79(a1))))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2915,2917,2920,2921,2924,2925,2926,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,12920,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3972,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,13086,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859,9800,10150,4637,4639,4640,4695,4703,4840,4856,4857,4879,4886,4887,4916,4971,5033,5090,5140,5168,5204,5206,5212,5214,5215,5241,5316,5339,5474,5540,5541,5542,5658,5659])).
% 149.25/148.83 cnf(13209,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),f326(a117,f326(f326(f81(a872),x132091),x132092))),f326(a117,x132091)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2915,2917,2920,2921,2924,2925,2926,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,12920,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3972,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,13086,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859,9800,10150,4637,4639,4640,4695,4703,4840,4856,4857,4879,4886,4887,4916,4971,5033,5090,5140,5168,5204,5206,5212,5214,5215,5241,5316,5339,5474,5540,5541,5542,5658,5659,5684,5685,5689,5742,5748,5750,5759,5765,5837])).
% 149.25/148.83 cnf(13215,plain,
% 149.25/148.83 (~E(f326(f184(x132151,f880(x132152,a866),x132153,f190(f880(x132151,a866))),x132154),f326(f233(f880(x132152,a866)),f326(f326(f42(f45(a1,x132155,x132155),f880(x132152,a866)),x132156),a117)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2915,2917,2920,2921,2924,2925,2926,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,12920,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3972,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,13086,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,5222,5229,5232,5233,5234,5238,5275,5288,5295,5297,5298,5302,5303,5304,5312,5315,5320,5321,5322,5329,5333,5334,5335,5344,5348,5349,5350,5355,5368,5377,5389,5391,5399,5400,5404,5408,5433,5439,5449,5450,5465,5478,5500,5506,5522,5523,5526,5545,5553,5554,5559,5560,5570,5571,5583,5587,5596,5597,5599,5614,5619,5629,5630,5642,5649,5663,5667,5670,5676,5677,5678,5681,5686,5723,5724,5727,5729,5732,5733,5734,5736,5738,5740,5745,5752,5767,5781,5786,5787,5800,5801,5806,5810,5812,5817,5858,5870,5879,5883,5894,5898,5899,5907,5921,5927,5945,5948,5960,5988,6002,6027,6047,6048,6051,6065,6067,6069,6071,6084,6085,6088,6090,6093,6094,6106,6112,6113,6114,6116,6118,6161,6162,6169,6178,6214,6216,6218,6220,6229,6231,6233,6239,6241,6247,6250,6258,6265,6266,6267,6272,6294,6295,6296,6298,6304,6309,6345,6346,6348,6349,6350,6352,6353,6354,6355,6362,6395,6396,6405,6426,6427,6447,6450,6461,6462,6468,6498,6500,6514,6552,6554,6555,6609,6633,6675,6695,6704,6705,6706,6707,6726,6727,6733,6746,6749,6751,6753,6754,6755,6757,6771,6782,6784,6785,6798,6801,6852,6863,6865,6869,6886,6887,6923,6935,6966,6985,7000,7054,7082,7137,7158,7167,7170,7225,7233,7291,7293,7308,7318,7319,7320,7339,7345,7347,7396,7406,7409,7425,7477,7479,7482,7525,7526,7544,7611,7630,7653,7675,7690,7705,7716,7724,7725,7753,7756,7758,7766,7804,7814,7839,7897,7931,7963,8010,8026,8042,8043,8118,8171,8190,8214,8234,8258,8357,8359,8365,8382,8386,8401,8423,8434,8436,8452,8458,8462,8485,8499,8500,8516,8517,8522,8523,8524,8525,8526,8544,8545,8546,8554,8568,8570,8582,8586,8588,8589,8590,8598,8603,8630,8631,8662,8675,8679,8697,8719,8720,8721,8722,8734,8735,8758,8768,8778,8779,8780,8781,8783,8805,8806,8817,8861,8867,8873,8886,8891,8893,8896,8897,8901,8910,8991,9022,9023,9024,9039,9057,9062,9090,9091,9132,9135,9161,9206,9207,9208,9223,9248,9262,9268,9271,9293,9294,9322,9384,9419,9420,9421,9446,9447,9465,9483,9489,9503,9526,9548,9556,9557,9558,9559,9574,9576,9581,9612,9613,9619,9620,9664,9665,9696,9705,9715,9717,9718,9727,9741,9744,9772,9805,9807,9811,9868,9909,9910,9912,9922,9923,9943,9948,9989,10040,10112,10113,10166,10182,2,8,9,4583,4584,4602,4633,4634,4636,4663,4669,4670,4681,4730,4732,4762,4776,4806,4903,4904,4917,4937,4993,4994,4997,4998,5000,5002,5003,5015,5016,5026,5037,5038,5044,5063,5064,5081,5086,5087,5088,5089,5092,5100,5103,5110,5175,5181,5182,5189,5219,5230,5236,5254,5274,5281,5282,5283,5292,5301,5308,5310,5311,5317,5325,5326,5336,5340,5341,5342,5343,5345,5346,5351,5352,5353,5354,5385,5386,5387,5395,5396,5397,5398,5441,5446,5448,5485,5487,5488,5490,5491,5493,5494,5496,5505,5510,5512,5513,5514,5515,5516,5517,5524,5534,5537,5548,5564,5565,5568,5577,5579,5580,5581,5606,5616,5632,5633,5643,5644,5646,5648,5653,5688,5692,5694,5754,5788,5789,5793,5799,5802,5803,5804,5805,5811,5822,5823,5825,5826,5834,5855,5886,5902,5905,5906,5908,5917,5935,5939,5942,5943,5944,5962,5973,5974,6004,6005,6009,6029,6032,6036,6055,6060,6061,6086,6089,6097,6105,6111,6115,6122,6123,6124,6125,6164,6179,6232,6268,6270,6291,6292,6297,6301,6302,6305,6311,6320,6337,6357,6358,6363,6373,6388,6408,6414,6416,6431,6432,6435,6436,6438,6440,6441,6442,6444,6446,6449,6454,6455,6457,6458,6464,6466,6508,6513,6527,6529,6530,6531,6566,6571,6573,6578,6579,6587,6591,6604,6628,6629,6631,6632,6643,6648,6666,6669,6688,6721,6722,6723,6728,6742,6761,6763,6765,6767,6772,6778,6780,6795,6802,6838,6839,6840,6854,6855,6857,6858,6877,6879,6895,6921,6943,6954,6956,6958,6960,6961,6962,6997,6998,7003,7004,7011,7012,7014,7016,7035,7044,7045,7057,7067,7106,7116,7120,7127,7138,7139,7144,7146,7152,7160,7161,7174,7191,7209,7211,7228,7277,7278,7279,7281,7283,7287,7292,7315,7360,7392,7407,7424,7457,7460,7486,7510,7527,7530,7531,7541,7560,7562,7564,7566,7567,7568,7593,7619,7620,7652,7654,7655,7656,7661,7682,7691,7702,7707,7713,7715,7721,7732,7733,7735,7755,7759,7764,7787,7852,7853,7900,7908,7909,7933,7934,7951,7952,8017,8018,8045,8074,8085,8087,8096,8108,8140,8146,8153,8166,8185,8191,8213,8256,8286,8298,8316,8319,8350,8373,8437,8438,8442,8444,8463,8548,8549,8550,8551,8577,8606,8634,8678,8696,8752,8798,8801,8814,8821,8858,8906,8907,8924,8925,9064,9068,9088,9098,9121,9123,9126,9130,9133,9134,9147,9148,9168,9174,9186,9234,9252,9306,9307,9314,9376,9381,9416,9423,9426,9429,9430,9445,9461,9470,9482,9492,9493,9496,9498,9524,9647,9691,9692,9734,9779,9895,9952,10017,10091,10104,10109,3,2607,2608,2609,2610,2611,2614,2615,2616,2624,2625,2631,2632,2633,2635,2636,2637,2638,2646,2649,2650,2651,2653,2655,2660,2661,2664,2665,2667,2668,2672,2673,2674,2681,2692,2693,2694,2695,2696,2697,2698,2700,2701,2702,2721,2724,2725,2726,2728,2729,2730,2733,2734,2735,2742,2743,2746,2747,2752,2754,2756,2773,2774,2776,2782,2783,2784,2791,2793,2794,2842,2843,2850,5211,5273,5371,5457,5458,5459,5535,5631,5662,5695,5711,5713,5719,5782,5783,5784,5785,5791,5824,5957,5994,6003,6026,6063,6098,6103,6249,6254,6289,6290,6310,6313,6315,6322,6323,6324,6325,6326,6327,6328,6329,6410,6478,6479,6565,6598,6599,6640,6641,6779,6794,6866,6867,6874,6896,6919,6927,6929,6976,7001,7002,7020,7021,7056,7100,7101,7198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859,9800,10150,4637,4639,4640,4695,4703,4840,4856,4857,4879,4886,4887,4916,4971,5033,5090,5140,5168,5204,5206,5212,5214,5215,5241,5316,5339,5474,5540,5541,5542,5658,5659,5684,5685,5689,5742,5748,5750,5759,5765,5837,5915,5979,6044])).
% 149.25/148.83 cnf(13233,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),f2(a872)),f190(a872)))),
% 149.25/148.83 inference(scs_inference,[],[3120,3516,11042,12079,12182,12274,12312,12320,12385,12511,12513,12939,12949,12954,12958,12964,12967,12991,13094,3525,12143,12600,12602,3526,12213,3240,12553,12555,3241,12566,3207,12458,4482,4483,11659,4222,12559,12562,3244,12590,3082,3102,12581,3143,12527,4464,3576,4446,10201,10204,10214,10225,10236,10337,10340,10343,10446,10559,10863,11027,11030,11228,11315,11322,11336,11386,11389,11498,11544,11560,11861,11886,11898,11930,12028,12139,12146,12304,12355,12488,12610,12764,13012,4461,10430,10523,3333,3294,12577,3485,3190,4456,12681,12696,13032,2871,2872,2874,2875,2877,2878,2881,2882,2883,2886,2887,2892,2893,2896,2897,2898,2905,2911,2915,2917,2920,2921,2924,2925,2926,2931,2934,2935,2939,2942,2945,2946,2948,2954,2962,2963,2964,2974,2995,3006,3007,3009,3011,3015,3016,3018,3019,3020,3031,3032,3041,3048,4441,3061,3142,4442,3612,3115,11312,3254,3317,3227,3230,10198,10207,10271,10274,10364,10367,10658,11327,11330,11441,11485,11490,11589,12049,12250,12438,12490,12498,12504,12506,12523,12525,12543,12545,12547,12575,12815,12982,13093,13098,13114,3599,3850,3203,11586,12333,12337,12341,3208,10678,11592,3215,3734,3968,3104,3105,4458,4470,3824,11362,3332,12492,3169,3134,3649,12594,3129,3941,3150,3654,3113,3114,3092,3149,3287,12020,12169,12388,12461,3334,10810,12140,3201,3202,3225,10471,3380,4541,10400,3908,4472,10262,10427,11225,12300,12334,12338,4481,12308,3263,11682,11685,12908,13008,13065,13069,13073,4530,10977,11047,11271,11274,3674,3258,3381,3598,3373,3347,12502,3164,10329,10634,3165,4514,3438,3157,3083,3268,3186,11352,4055,12323,12450,3910,10983,11109,11160,12284,12290,12399,12402,12425,4554,10915,11114,11219,11241,11279,11285,12229,4555,11016,11117,11222,4556,11120,11171,4557,11174,4558,3185,3478,12185,12226,12307,3637,4337,4338,3461,4469,11343,3578,3615,4551,3788,3547,12798,12802,12806,12810,12820,3834,12179,3464,3715,3344,10348,10466,10537,10598,10601,10637,10731,10967,11857,11920,11996,12040,12117,12120,12429,12616,12675,12718,12721,12763,12781,13011,13016,3726,11577,3256,3356,11697,12609,13113,3541,4520,10239,10242,10268,10739,10752,10873,11263,11355,11749,11754,11972,11975,12061,12070,12232,12327,12621,12640,12643,12667,12722,12886,12891,12915,12920,4536,11460,11493,11528,11557,12731,12735,3713,3486,3488,12646,12649,12652,12655,12689,12692,13048,13052,13056,3489,3859,3450,13049,3451,13053,3302,3304,3277,4517,3163,4466,3665,4192,3977,3470,4537,4049,11236,3597,3316,11706,11709,12150,12254,12409,4019,3976,11850,12200,3920,10807,12008,12034,12207,12432,12880,13064,3965,13068,3971,10989,12076,12149,12206,12253,12911,3972,3638,11860,12003,12084,12130,4008,3656,10986,11052,11133,11193,12027,12098,12350,12422,12435,12877,12948,12953,4542,10755,11125,12210,12961,3273,10357,10453,10584,10644,11433,11653,11700,11734,11830,11885,12091,3274,10713,10758,10761,10794,10820,10857,10895,10931,11901,11904,11907,11910,12105,12108,12111,12114,12193,12361,12405,12668,12695,12773,12784,12789,12792,12795,12828,12841,12852,12901,12926,12929,3275,10386,10441,10649,10734,10860,11737,11746,11836,11847,11866,11871,11913,11933,11950,12686,12832,12855,12887,12892,12916,12921,13035,3276,3352,12064,12751,12799,12803,12807,12811,12821,12825,4516,10305,10395,10508,10532,10776,10823,10833,11507,11607,11628,11631,11634,11650,11804,11807,11810,11813,11897,11916,11919,11929,11984,11987,11990,11993,12071,12161,12164,12260,12263,12326,12354,12391,12470,3433,10604,10868,10912,11182,11260,11421,11662,12303,12473,12873,12943,12994,4532,10785,10797,10904,10922,10925,10980,11066,11074,11090,11128,11145,11154,11190,11231,11251,11254,11257,11288,11295,11298,11679,11715,11978,11981,12015,12065,12094,12238,12281,12287,12373,12376,12395,12449,12455,12464,12482,12750,12767,12770,12862,12944,12986,13001,13004,13045,13089,13092,3338,10631,10661,10670,11211,11761,12392,12406,12732,12736,12739,3376,13025,13086,3370,3792,3731,10308,11580,11610,12713,4529,10259,10619,10622,11069,11087,11543,11598,11638,11663,11767,11792,11795,11798,11801,12060,12932,3296,10664,10817,10888,11611,11766,11955,12172,12194,12760,13028,13112,3753,11712,12662,4099,3492,4527,3764,3800,4506,4509,4510,3247,3251,4508,4507,4511,4275,3771,3587,11573,4198,11440,4544,10230,10233,10489,10540,10543,10548,10954,11415,11666,11770,4552,11148,11268,11304,3985,12221,3876,11301,11637,11641,11703,12311,12319,12398,12680,12938,12990,3720,10928,10934,10949,11882,12097,12369,3574,11151,12123,12235,12245,12316,12364,12372,12479,3610,4053,3722,10667,11005,11157,11187,11198,12031,12315,12358,12978,3544,10587,10590,10673,10844,3543,4548,11574,4538,4543,12630,4549,10724,10826,11136,11418,11446,12188,12197,12241,12419,4159,10800,12218,12244,4060,3752,12485,3700,3701,4546,10281,10284,10625,10628,11457,11642,12428,4547,11554,11647,3724,10593,10850,13015,3992,4568,4573,4580,4596,4645,4647,4677,4694,4701,4702,4741,4771,4777,4862,4888,4889,4924,4949,4950,4972,4973,4986,4990,5012,5019,5036,5039,5040,5041,5046,5047,5068,5093,5094,5104,5109,5115,5160,5161,5169,5179,5183,5185,5195,5197,5203,5207,522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198,7259,7260,7261,7262,7276,7309,7365,7366,7375,7382,7383,7395,7427,7428,7429,7430,7574,7575,7577,7579,7585,7586,7795,7801,7802,7811,7850,7929,7971,8029,8050,8051,8066,8125,8227,8296,8297,8299,8334,8397,8398,8471,8492,8493,8494,8495,8638,8851,8875,8876,8956,8971,9025,9026,9142,9178,9201,9235,9276,9468,9728,9921,9977,9979,6021,6393,6394,6481,6501,6502,6918,7136,8281,8563,8596,8791,8982,8983,9053,9054,9324,9325,9326,9327,9527,9799,10100,10151,10152,6463,8389,8390,8841,8859,9800,10150,4637,4639,4640,4695,4703,4840,4856,4857,4879,4886,4887,4916,4971,5033,5090,5140,5168,5204,5206,5212,5214,5215,5241,5316,5339,5474,5540,5541,5542,5658,5659,5684,5685,5689,5742,5748,5750,5759,5765,5837,5915,5979,6044,6070,6235,6356,6511,6713,6714,6864,6930,6971])).
% 149.25/148.83 cnf(13360,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x133601),x133601))),
% 149.25/148.83 inference(rename_variables,[],[3274])).
% 149.25/148.83 cnf(13373,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x133731),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13376,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x133761,a866)),x133762),f326(f326(f304(x133761),x133763),x133762)))),
% 149.25/148.83 inference(rename_variables,[],[3720])).
% 149.25/148.83 cnf(13379,plain,
% 149.25/148.83 (~P103(f326(f326(f190(f880(x133791,f880(x133792,a866))),x133793),x133794))),
% 149.25/148.83 inference(rename_variables,[],[4549])).
% 149.25/148.83 cnf(13386,plain,
% 149.25/148.83 (~P103(f326(f326(f240(a872),f326(f326(f82(a872),f326(a117,x133861)),f326(a117,x133861))),x133861))),
% 149.25/148.83 inference(rename_variables,[],[10672])).
% 149.25/148.83 cnf(13389,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x133891),x133892),f190(f880(x133891,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13392,plain,
% 149.25/148.83 (~E(f326(f326(f147(x133921),x133922),x133923),x133923)),
% 149.25/148.83 inference(rename_variables,[],[4472])).
% 149.25/148.83 cnf(13397,plain,
% 149.25/148.83 (~P103(f326(f326(f240(a872),f326(a117,x133971)),x133971))),
% 149.25/148.83 inference(rename_variables,[],[4529])).
% 149.25/148.83 cnf(13403,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x134031),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13408,plain,
% 149.25/148.83 (E(f326(f257(x134081,x134081),f258(x134081,x134082)),x134082)),
% 149.25/148.83 inference(rename_variables,[],[3230])).
% 149.25/148.83 cnf(13411,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x134111),x134112),f190(f880(x134111,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13427,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x134271),x134272),f190(f880(x134271,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13430,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x134301),f326(f326(f82(a872),x134301),x134301)))),
% 149.25/148.83 inference(rename_variables,[],[3544])).
% 149.25/148.83 cnf(13433,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x134331,x134331)),x134332),f258(x134331,f190(f880(x134331,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13438,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x134381),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13441,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x134411),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13444,plain,
% 149.25/148.83 (~E(f326(f326(f147(x134441),x134442),x134443),x134443)),
% 149.25/148.83 inference(rename_variables,[],[4472])).
% 149.25/148.83 cnf(13451,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x134511),x134512),f190(f880(x134511,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13456,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x134561),x134562),f326(f306(x134561,x134563,x134564),f190(f880(x134563,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10924])).
% 149.25/148.83 cnf(13464,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x134641,a866)),f326(f168(x134641),f166(x134641,x134642,x134643))),f326(f168(x134641),x134643)))),
% 149.25/148.83 inference(rename_variables,[],[3971])).
% 149.25/148.83 cnf(13488,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x134881),f326(f326(f82(a872),x134881),x134881)))),
% 149.25/148.83 inference(rename_variables,[],[3544])).
% 149.25/148.83 cnf(13508,plain,
% 149.25/148.83 (E(f326(f326(f126(x135081),x135082),f118(x135081)),x135082)),
% 149.25/148.83 inference(rename_variables,[],[3203])).
% 149.25/148.83 cnf(13523,plain,
% 149.25/148.83 (E(f326(f326(f126(x135231),x135232),f118(x135231)),x135232)),
% 149.25/148.83 inference(rename_variables,[],[3203])).
% 149.25/148.83 cnf(13539,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x135391),x135392),f190(f880(x135391,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13544,plain,
% 149.25/148.83 (~E(f326(f326(f147(x135441),x135442),x135443),x135443)),
% 149.25/148.83 inference(rename_variables,[],[4472])).
% 149.25/148.83 cnf(13560,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x135601),f326(f326(f81(a872),x135601),x135602)))),
% 149.25/148.83 inference(rename_variables,[],[3543])).
% 149.25/148.83 cnf(13567,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x135671),x135672),f190(f880(x135671,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13570,plain,
% 149.25/148.83 (~P103(f326(f326(f190(f880(x135701,f880(x135702,a866))),x135703),x135704))),
% 149.25/148.83 inference(rename_variables,[],[4549])).
% 149.25/148.83 cnf(13578,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x135781,x135781)),x135782),f258(x135781,f190(f880(x135781,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13592,plain,
% 149.25/148.83 (E(f326(x135921,f822(f326(x135921,x135922),f326(f233(x135923),x135922),x135921,x135924,x135923)),f326(x135921,x135922))),
% 149.25/148.83 inference(rename_variables,[],[11100])).
% 149.25/148.83 cnf(13600,plain,
% 149.25/148.83 (~E(f326(a117,x136001),f2(a872))),
% 149.25/148.83 inference(rename_variables,[],[4456])).
% 149.25/148.83 cnf(13606,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x136061,a866)),f326(f168(x136061),f166(x136061,x136062,x136063))),f326(f168(x136061),x136063)))),
% 149.25/148.83 inference(rename_variables,[],[3971])).
% 149.25/148.83 cnf(13616,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x136161,a866)),x136162),x136162))),
% 149.25/148.83 inference(rename_variables,[],[3574])).
% 149.25/148.83 cnf(13633,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x136331),f326(f326(f82(a872),x136331),x136331)))),
% 149.25/148.83 inference(rename_variables,[],[3544])).
% 149.25/148.83 cnf(13648,plain,
% 149.25/148.83 (E(f326(x136481,f822(f326(x136481,x136482),f326(f233(x136483),x136482),x136481,x136484,x136483)),f326(x136481,x136482))),
% 149.25/148.83 inference(rename_variables,[],[11100])).
% 149.25/148.83 cnf(13651,plain,
% 149.25/148.83 (P103(f326(f326(f241(a1),f326(f326(f22(a1),x136511),f79(a1))),x136511))),
% 149.25/148.83 inference(rename_variables,[],[10733])).
% 149.25/148.83 cnf(13661,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x136611),f326(f326(f82(a872),x136611),x136611)))),
% 149.25/148.83 inference(rename_variables,[],[3544])).
% 149.25/148.83 cnf(13666,plain,
% 149.25/148.83 (~P103(f326(f326(f328(x136661),x136662),f190(f880(x136661,a866))))),
% 149.25/148.83 inference(rename_variables,[],[4532])).
% 149.25/148.83 cnf(13679,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x136791),x136792)),x136792))),
% 149.25/148.83 inference(rename_variables,[],[4546])).
% 149.25/148.83 cnf(13682,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x136821,x136821)),x136822),f258(x136821,f190(f880(x136821,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13688,plain,
% 149.25/148.83 (E(f326(x136881,f822(f326(x136881,x136882),f326(f233(x136883),x136882),x136881,x136884,x136883)),f326(x136881,x136882))),
% 149.25/148.83 inference(rename_variables,[],[11100])).
% 149.25/148.83 cnf(13693,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x136931,x136931)),x136932),f258(x136931,f190(f880(x136931,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13698,plain,
% 149.25/148.83 (E(f326(x136981,f822(f326(x136981,x136982),f326(f233(x136983),x136982),x136981,x136984,x136983)),f326(x136981,x136982))),
% 149.25/148.83 inference(rename_variables,[],[11100])).
% 149.25/148.83 cnf(13701,plain,
% 149.25/148.83 (~P103(f326(f326(f240(a872),f326(f326(f82(a872),f326(a117,x137011)),f326(a117,x137011))),x137011))),
% 149.25/148.83 inference(rename_variables,[],[10672])).
% 149.25/148.83 cnf(13709,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x137091,a866)),f326(f168(x137091),f166(x137091,x137092,x137093))),f326(f168(x137091),x137093)))),
% 149.25/148.83 inference(rename_variables,[],[3971])).
% 149.25/148.83 cnf(13725,plain,
% 149.25/148.83 (P103(f326(f326(f240(f880(x137251,a866)),x137252),x137252))),
% 149.25/148.83 inference(rename_variables,[],[3574])).
% 149.25/148.83 cnf(13746,plain,
% 149.25/148.83 (~P103(f326(f326(f241(a872),f326(f326(f81(a872),x137461),x137462)),x137461))),
% 149.25/148.83 inference(rename_variables,[],[4547])).
% 149.25/148.83 cnf(13751,plain,
% 149.25/148.83 (P103(f326(f326(f240(a1),x137511),x137511))),
% 149.25/148.83 inference(rename_variables,[],[3275])).
% 149.25/148.83 cnf(13754,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),x137541),f326(f326(f82(a872),x137541),x137541)))),
% 149.25/148.83 inference(rename_variables,[],[3544])).
% 149.25/148.83 cnf(13762,plain,
% 149.25/148.83 (P103(f326(f326(f240(a872),f2(a872)),x137621))),
% 149.25/148.83 inference(rename_variables,[],[3296])).
% 149.25/148.83 cnf(13765,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x137651,x137651)),x137652),f258(x137651,f190(f880(x137651,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13783,plain,
% 149.25/148.83 (~P103(f326(f326(f190(f880(x137831,f880(x137832,a866))),x137833),x137834))),
% 149.25/148.83 inference(rename_variables,[],[4549])).
% 149.25/148.83 cnf(13812,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x138121),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13825,plain,
% 149.25/148.83 (~P103(f326(f326(f190(f880(x138251,f880(x138252,a866))),x138253),x138254))),
% 149.25/148.83 inference(rename_variables,[],[4549])).
% 149.25/148.83 cnf(13861,plain,
% 149.25/148.83 (~P103(f326(f326(f328(f879(x138611,x138611)),x138612),f258(x138611,f190(f880(x138611,a866)))))),
% 149.25/148.83 inference(rename_variables,[],[10921])).
% 149.25/148.83 cnf(13893,plain,
% 149.25/148.83 (E(f326(x138931,f822(f326(x138931,x138932),f326(f233(x138933),x138932),x138931,x138934,x138933)),f326(x138931,x138932))),
% 149.25/148.83 inference(rename_variables,[],[11100])).
% 149.25/148.83 cnf(13923,plain,
% 149.25/148.83 (~E(f326(f326(f147(x139231),x139232),x139233),x139233)),
% 149.25/148.83 inference(rename_variables,[],[4472])).
% 149.25/148.83 cnf(13938,plain,
% 149.25/148.83 (~P103(f326(f326(f328(a872),x139381),f326(f247(a872),f2(a872))))),
% 149.25/148.83 inference(rename_variables,[],[11731])).
% 149.25/148.83 cnf(13961,plain,
% 149.25/148.83 ($false),
% 149.25/148.83 inference(scs_inference,[],[3302,3713,3304,4019,3859,4055,3061,4548,3277,3274,13360,3251,4536,4517,3910,3352,4554,4508,3370,3726,4532,13389,13411,13427,13451,13539,13567,13666,3971,13464,13606,13709,3876,3380,4456,13600,4541,4472,13392,13444,13544,13923,4469,3256,3356,4049,3920,3275,13751,3731,3296,13762,3587,3720,13376,3574,13616,13725,3722,3544,13430,13488,13633,13661,13754,3543,13560,4159,3724,3230,13408,3850,3203,13508,13523,4555,4556,4558,4516,4529,13397,4538,4549,13379,13570,13783,13825,4546,13679,4547,13746,11478,13018,11164,13215,10345,12623,11789,11829,12913,12414,11292,13191,10529,12196,10589,11835,12664,11032,12416,12445,10911,13117,11132,10875,10733,13651,3640,12472,11197,11156,11100,13592,13648,13688,13698,13893,13133,10270,12937,10404,10677,10520,3335,3214,10278,11179,12925,12928,13209,10682,13233,11613,12125,12234,10255,12683,11731,13373,13403,13438,13441,13812,13938,11086,10921,13433,13578,13682,13693,13765,13861,10924,13456,10672,13386,13701,10775,11986,11009,11250,11162,10936,12030,2868,9,6178,7477,5160,5161,6247,8524,5355,5960,9293,7725,8780,9091,5732,5391,5765,8768,4949,5302,5320,5879,9696,9741,4862,4568,6675,7758,4973,5207,6266,7814,5400,9024,8010,9744,8365,8799,6713,4580,5894,6784,8554,9912,6869,6852,6966,8499,8735,5316,5689,8675,6044,6751,7945,8485,5684,5752,6746,5233,6069,9268,6085,6498,7339,8867,4771,6272,6427,5724,5399,8719,9576,5047,5297,9715,6296,5523,8517,8697,5522,4777,6071,9090,5304,8910,6065,5806,6304,8118,4741,9612,5899,9581,8500,9206,5195,5449,9557,9421,6348,5212,7406,7839,5560,9223,8630,7158,9717,8886,9262,5168,5333,5389,8,4573,9135,9989,7705,5540,6048,6500,8721,9805,8523,5748,5801,6346,7544,9489,7082,4879,9923,5723,6241,6930,4701,5404,7137,10112,6093,5214,6447,8861,5667,8452,6216,6785,6214,8570,6555,6727,9613,5039,5767,7963,5315,8423,5241,5275,5312,6114,8778,2,5104,5288,5587,6733,6094,6511,9574,9868,7436,8258,5094,5197,6554,5681,5745,4888,5140,6923,6704,6706,8522,5738,8234,9023,8603,9811,6161,7897,5583,5041,8043,7396,5921,8190,7766,5040,6887,6985,5642,5630,6462,6229,4972,5907,8526,9271,10182,9548,4645,5858,5948,6084,7054,7479,4856,6771,5450,5676,6231,6396,4639,6067,5474,5046,5222,5570,8734,9208,9556,5759,4840,5800,6426,5599,4637,4694,5229,6633,8991,9062,10040,10113,7942,6118,6726,8171,9664,9526,4677]),
% 149.25/148.83 ['proof']).
% 149.25/148.84 % SZS output end Proof
% 149.25/148.84 % Total time :134.440000s
%------------------------------------------------------------------------------